Answer:
[tex]a=3.36 +0.816*0.18=3.507[/tex]
The value of height that separates the bottom 90% of data from the top 10% is 3.507.
Step-by-step explanation:
1) Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
2) Solution to the problem
Let X the random variable that represent the grades of a population, and for this case we know the distribution for X is given by:
[tex]X \sim N(3.36,0.18)[/tex]
Where [tex]\mu=3.36[/tex] and [tex]\sigma=0.18[/tex]
And the best way to solve this problem is using the normal standard distribution and the z score given by:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
For this part we want to find a value a, such that we satisfy this condition:
[tex]P(X>a)=0.10[/tex] (a)
[tex]P(X<a)=0.90[/tex] (b)
Both conditions are equivalent on this case. We can use the z score again in order to find the value a.
As we can see on the figure attached the z value that satisfy the condition with 0.90 of the area on the left and 0.10 of the area on the right it's z=0.816. On this case P(Z<0.816)=0.90 and P(Z>0.816)=0.1
If we use condition (b) from previous we have this:
[tex]P(X<a)=P(\frac{X-\mu}{\sigma}<\frac{a-\mu}{\sigma})=0.90[/tex]
[tex]P(z<\frac{a-\mu}{\sigma})=0.90[/tex]
But we know which value of z satisfy the previous equation so then we can do this:
[tex]z=0.816=\frac{a-3.36}{0.18}[/tex]
And if we solve for a we got
[tex]a=3.36 +0.816*0.18=3.507[/tex]
So the value of height that separates the bottom 90% of data from the top 10% is 3.507.
To find the minimum Undergraduate grade point average (UGPA) that would place a student in the top 10%, we use the Z-score corresponding to the top 10% (which is about 1.28) and apply it within the normal distribution parameters, mean (3.36) and standard deviation (.18). The result is a UGPA of approximately 3.59.
Explanation:This question pertains to the concept of normal distribution in statistics. Given a mean of 3.36 and a standard deviation of .18, we're asked to find the minimum Undergraduate grade point average (UGPA) that would place a student in the top 10%. This requires the understanding of Z-scores (standard deviations away from the mean).
The Z-score that corresponds to the top 10% in a standard normal distribution is about 1.28 (this value comes from a standard Z-table or can be calculated using a statistical calculator). Remember that the Z-score formula is Z = (X - μ) / σ, where X is the value we're looking for, μ is the mean, and σ is the standard deviation.
So, rearranging the formula to solve for X gives X = Z*σ + μ. Substituting the known values into the equation gives: X = (1.28*.18) + 3.36, which gives X approximately equal to 3.59. Therefore, the minimum UGPA that will place a student in the top 10% is approximately 3.59.
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Mr. Edwards hired a new employee to work in his bakeshop. In one hour, this
employee burned 439 chocolate chip cookies, which represented 25% of all the
cookies the employee burned in that day. How many cookies did the new employee
burn in the course of the day?
To find the total number of cookies burnt in the day, which is the whole, we would use the formula 'whole = part / percentage', or 'whole = 439 / 0.25', which gives us 1756 cookies.
Explanation:The subject of this question is Mathematics, specifically it's a problem on percent. The problem states that 439 cookies represented 25% of all the cookies the employee burnt that day. The question asks us to find the total number of cookies burnt by using this information.
When trying to find the whole from a percent, you can use the formula: whole = part / percentage. In this case, 'part' refers to the 439 cookies, and 'percentage' is 25% expressed as a decimal (0.25).
Using the formula, we find that the total (whole) number of cookies burnt is: whole = 439 / 0.25 = 1756 cookies. So, the new employee burnt 1756 cookies in the course of the day.
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Line 1 thru (3,2) and (5,-1)
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slopw and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (3, 2) and (x₂, y₂ ) = (5, - 1)
m = [tex]\frac{-1-2}{5-3}[/tex] = - [tex]\frac{3}{2}[/tex], thus
y = - [tex]\frac{3}{2}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (3, 2), then
2 = - [tex]\frac{9}{2}[/tex] + c ⇒ c = 2 + [tex]\frac{9}{2}[/tex] = [tex]\frac{13}{2}[/tex]
y = - [tex]\frac{3}{2}[/tex] x + [tex]\frac{13}{2}[/tex] ← equation of line
Answer:
The equation of the line passing through the given points is
[tex]y=-\frac{3}{2}x+\frac{13}{2}[/tex]
Step-by-step explanation:
GIven two points are (3,2) and (5,-1)
To find the equation of the line passing through these two points
Let [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] be the two points (3,2) and (5,-1) respectively
Using the two points formula for finding slope:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]m=\frac{-1-2}{5-3}[/tex]
[tex]m=\frac{-3}{2}[/tex]
Therefore [tex]m=-\frac{3}{2}[/tex]
By using formula:
[tex]y=mx+c[/tex]
Here Let (x,y) be (3,2)
[tex]y=mx+c[/tex]
[tex]2=-{\frac{3}{2}}\times 3+c[/tex]
[tex]2=\frac{-9}{2}+c[/tex]
[tex]c=\frac{9}{2}+2[/tex]
[tex]c=\frac{9+4}{2}[/tex]
[tex]c=\frac{13}{2}[/tex]
Therefore substitute values of m and c in
[tex]y=mx+c[/tex]
[tex]y=-\frac{3}{2}x+\frac{13}{2}[/tex]
Therefore the equation of the line passing through the given points is
[tex]y=-\frac{3}{2}x+\frac{13}{2}[/tex]
Two burgers and one hotdog cost $4.82. At the same price, one burger and two hotdogs cost &3.70. How much does a hotdog cost?
Answer:
Step-by-step explanation:
Price of a hotdog = $0.86
What is an equation?An equation can be defined as a statement that supports the equality of two expressions, which are connected by the equals sign “=”.
For example, 2x – 5 = 13.
Here,
2x – 5 and 13 are expressions.
The sign that connects these two expressions is “=”.
Given,
2 burgers and 1 hotdog cost = $4.82
1 burger and 2 hotdogs cost = $ 3.70
The price is same
Let the price of burger be x and price of hotdog be y
then,
2x + y = 4.82 ---------(a)
x + 2y = 3.70
Multiplying 2 in above equation
2x + 4y = 7. 40 -----------(b)
Subtracting equation (a) from equation (b)
2x + 4y - (2x+y) = 7.40 - 4.82
2x + 4y -2x -y = 2.58
3y = 2.58
y = 2.58/3
y = 0.86
Price of hotdog = $0.86
Hence, a hotdog costs $0.86.
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Earl Pumpernickel owns and operates The Earl of Sandwiches, a profitable catering business in Logic Town. Recently, Earl was lucky enough to land a lucrative contract that will enable him to supply food for the Big Corporation for an entire month of lunch conferences. For the upcoming week, for example, he knows that Friday’s meeting will require 12 more sandwiches than Tuesday’s meeting, which will require six fewer sandwiches than Monday’s, which will require 20 more sandwiches than Wednesday’s, which will require five fewer sandwiches than Thursday’s. If the number of sandwiches ordered for the conference that calls for the fewest is 50, how many sandwiches will Earl need to make for the Big Corporation each day next week?
Answer:
Monday: 70
Tuesday: 64
Wednesday: 50
Thursday: 55
Friday: 76
Step-by-step explanation:
Equations
Let's call x to the number of sandwiches ordered for Thursday's meeting. We know that for Wednesday’s, we'll need x-5 sandwiches, for Monday's, we'll need 20 more, i.e. (x-5+20)=x+15 sandwiches. For Tuesday's it will be 6 fewer than x+15, or x+9. Finally, for Friday's, it will be 12 more than x+9 or x+21. Summarizing:
Monday: x+15
Tuesday: x+9
Wednesday: x-5
Thursday: x
Friday: x+21
The fewest of them all is x-5 and is must be equal to 50
[tex]x-5=50[/tex]
[tex]x=55[/tex]
The number of sandwiches per day is
Monday: x+15=70
Tuesday: x+9=64
Wednesday: x-5=50
Thursday: x=55
Friday: x+21=76
Janessa bought for 4 stamps for $1.48 at this rate how much would 10 stamps cost
Answer:
$3.70
Step-by-step explanation:
divide 1.48 by 4 = .37
multiply by 10
Factor the polynomial.
x²+6x+5
Answer: (x + 1 )(x+5)
Step-by-step explanation:
Given :
[tex]x^{2}[/tex] + 6x + 5
Compare with the general quadratic equation:
a[tex]x^{2}[/tex] + bx + c
To factorize , you are to find two numbers that multiply to give ac , and add to give b.
After which you will re - write the middle number with those numbers.
From the given question , ac = 5[tex]x^{2}[/tex] , we are to find two numbers that will multiply to give 5[tex]x^{2}[/tex] and add to give 6x.
The numbers are 1x and 5x.
We will then replace the middle number by the two numbers , that is
[tex]x^{2}[/tex] + x + 5x + 5
x(x+1) +5( x +1)
(x+1)(x+5)
What are the intercepts of the graphed function?
x-intercept = (-1,0)
y-intercept = (-3,0)
x-intercept = (0, -1)
y-intercept = (0, -3)
x-intercept = (0, -1)
y-intercept = (-3,0)
x-intercept = (-1, 0)
y-intercept = (0, -3)
Answer:
x-intercept = (-1,0)
y-intercept = (0,-3)
Explanation:
x-intercepts are points where the line crosses the x-axis.
y-intercepts are points where the line crosses the y-axis.
Answer:
D
Step-by-step explanation:
pls help fast 25 points! 60% of 45 =
Answer:
27
Step-by-step explanation:
Plz plz plz plz plz help
Ok, so 27 is >, 30 is <, 13/5 is 2 3/5, 5 2/7 is 37/7, 9 3/4 is 39/4, and 23/3 is 7 2/3
I did not do #27 and #30, just did the table.
Two linear functions are shown below which function has the greater rate of change
Answer:
On this case if we analyze both slopes, we see that function 2 has a greater rate of change because have a slope greater on absolute value than the slope for Function 1 (|-5|>|4|). No matter if the sign is positive or no we are analyzing the rate of change and for this case we need to use the absolute value to find the solution.
Step-by-step explanation:
Assuming the following two functions:
Function 1: y = 4x + 8
Function 2:
x y
2 20
4 10
6 0
We can find the slope for the second function like this:
[tex]m =\frac{10-20}{4-2}=-5[/tex]
And in order to find the intercept we can use any point for example (2,20) and we got:
[tex]20 =-5(2) +b[/tex]
And then [tex] b=30[/tex]
So our function 2 is given by: [tex] y =-5x +30[/tex]
On this case if we analyze both slopes, we see that function 2 has a greater rate of change because have a slope greater on absolute value than the slope for Function 1 (|-5|>|4|). No matter if the sign is positive or no we are analyzing the rate of change and for this case we need to use the absolute value to find the solution.
How are the two angles related?
Answer:
They are supplementary
Step-by-step explanation:
Two Angles are Supplementary when they add up to 180 degrees.
The quotient of four times a number and nine in an algebraic expression
Answer:
4x/9
Step-by-step explanation:
The quotient of four times a number and nine in an algebraic expression can be represented as (4x/9).
Explanation:The quotient of four times a number and nine in an algebraic expression can be represented as (4x/9). Here, 'x' represents the unknown number. To calculate the value of this expression, you would multiply 4 with 'x' and then divide the result by 9. For example, if the unknown number is 6, the expression would evaluate to (4 * 6)/9 = 24/9 = 2.67.
In the realm of algebraic expressions, the quotient derived from four times an unspecified number divided by nine takes on the simple yet versatile form of (4x/9), with 'x' standing in as the variable denoting the unknown quantity. The computation entails a straightforward process wherein you multiply the value of 'x' by 4 and subsequently divide the outcome by 9. For instance, if 'x' were to represent the value 6, the expression's evaluation would unfold as follows: (4 * 6)/9 = 24/9 = 2.67. This straightforward algebraic framework empowers us to efficiently compute the result based on the specific value attributed to 'x,' facilitating various calculations and problem-solving endeavors.
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Anna baked 3 batches of cookies with c cookies in each batch.She than ate 8 cookies
Answer:
3c-8
Step-by-step explanation:
You need to buy fertilizer for a circular flower bed with a diameter
of 13 feet. If one bag will fertilize 10 square feet, how many bags
do you need to buy?
14 bags of fertilizer are needed
Solution:
Given that You need to buy fertilizer for a circular flower bed with a diameter
of 13 feet
Diameter = 13 feet
[tex]radius = \frac{diameter}{2}[/tex]
[tex]radius = \frac{13}{2} = 6.5[/tex]
Therefore radius of circular flower bed is 6.5 feet
Area of circle is given as:
[tex]\text{ area of circle } = \pi r^2[/tex]
Substitute r = 6.5
[tex]\text{ area of circle } = 3.14 \times 6.5^2 = 132.665[/tex]
Given that one bag will fertilize 10 square feet
1 bag = 10 square feet
Then number of bags needed are:
[tex]\rightarrow \frac{132.665}{10} = 13.2665[/tex]
Thus approximately 14 bags of fertilizer are needed
Find the total number of unit cube that fill the entire prism
Answer:
72 cubes
Step-by-step explanation:
Attached is the picture drawn (though not great one), showing 6 cube on length of prism, 3 cubes on width and 4 cubes on height of prism.
Given: Length of prism= 6
Width= 3
Height= 4
To know the number of cubes, which can fill the entire prism, we need to find volume of prism.
∴ Volume of prism= [tex]length\times width\times height[/tex]
Volume of prism= [tex]6\times 3\times 4= 72[/tex]
∴ 72 units of cube can fill the entire prism.
1) a, = an-1-9
a, = 25
Answer:
an-1-9
25n-1-9
25n-10=0
25n=0+10
25n=10
divide both sides by 25
25n/25 =10/25
n=2/5
Step-by-step explanation:
Answer:
n=1.4
Step-by-step explanation:
given a=25
a=an-1-9..............(1)
put a=25 in equ (1)
25=25n-1-9
25=25n-10
25n=25+10=35
n=[tex]\frac{35}{25}[/tex]=1.4
n=1.4 answer
Which situation can be modeled using the equation 5x+3=27
Answer:
x=4.8
Step-by-step explanation:
5x+3=27
-3 -3
5x=24
/5 /5
x = 4.8
Answer:
Sam has 27 pencils. He has 3 loose pencils and 5 packs of pencils with x pencils in each pack.
Step-by-step explanation:
Consider the graph of the line y = .5x- 4 and the point
(-4,2).
The slope of a line parallel to the given line is
(1/
24
A point on the line parallel to the given line, passing
through (-4, 2), is (0,4) 4.
The slope of a line perpendicular to the given line is
-2
A point on the line perpendicular to the given line,
passing through (-4,2), is
Answer:
slope of parallel line and perpendicular line are 5 and -1/5 espectively
equation of parallel and perpendicular line are y = 5x + 22 [tex]y= \frac{-1}{5} x+\frac{6}{5}[/tex] respectively
Step-by-step explanation:
y = 5x - 4 is in the form
y = mx + c
where m is the slope of the line and c is the y intercept of thr line
therefore slope of the line = 5 and y intercept = -4
when an another line is parallel to the given line then the slope of both the lines are equal
therefore the slope the parallel line = 5
equation of a line passing through a given point [tex](x_{1} ,y_{1})[/tex] with slope m is given by [tex]y-y_{1} = m(x-x_{1} )[/tex]
given [tex](x_{1} ,y_{1})[/tex]= (-4,2)
therefore equation of line y-2 = 5(x+4)
therefore y = 2+ 5x+20
y = 5x + 22is the eqaution of required line.
when two lines are perpendiculer then
[tex]m_{1} m_{2}=-1[/tex]
where [tex]m_{1} and m_{2}[/tex] are slope of the lines therefore
m×5=-1
therefore m= [tex]\frac{-1}{5}[/tex]
therefore eqaution of line passing through (-4,2) and with slope m= [tex]\frac{-1}{5}[/tex] is given by [tex]y - 2= \frac{-1}{5} (x+4)[/tex]
[tex]y= \frac{-1}{5} x+\frac{6}{5}[/tex]
We can see here that the line perpendicular to the given line, passing through (-4, 2), is (0, -6).
How we arrived at the solution?Let's first verify the given information and then find the point on the line perpendicular to the given line passing through (-4, 2).
Given line: y = 0.5x - 4
Slope of a line parallel to the given line:
The slope of the given line is 0.5. Parallel lines have the same slope. Therefore, the slope of a line parallel to the given line is also 0.5.
A point on the line parallel to the given line, passing through (-4, 2):
Since the slope of the parallel line is 0.5, and we know a point (-4, 2) that lies on it, we can find the equation of the parallel line using the point-slope form of a line.
Point-slope form: y - y1 = m(x - x1), where (x1, y1) is the given point, and m is the slope.
Substitute the values: y - 2 = 0.5(x + 4)
Now, let's find a point on the line perpendicular to the given line, passing through (-4, 2):
Slope of a line perpendicular to the given line:
Perpendicular lines have slopes that are negative reciprocals of each other. The slope of the given line is 0.5, so the slope of the line perpendicular to it is -1/0.5 = -2.
A point on the line perpendicular to the given line, passing through (-4, 2):
Using the point-slope form again, we can find the equation of the perpendicular line passing through (-4, 2).
Point-slope form: y - y1 = m(x - x1), where (x1, y1) is the given point, and m is the slope.
Substitute the values: y - 2 = -2(x + 4)
Now, we can find another point on the perpendicular line by setting x = 0:
y - 2 = -2(0 + 4)
y - 2 = -8
y = -6
So, another point on the line perpendicular to the given line, passing through (-4, 2), is (0, -6).
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A fitness club has two options, one for members and one for nonmembers. Members pay a one-time registration fee of $12 plus $8 per gym visit. Nonmembers pay $10 per gym visit.
Upload a graph
Type the system of equations you used to graph the solutions. Use C for the cost of the two payment options and n for number of visits.
After how many gym visits is the payment for the member option more beneficial than the payment for the nonmember option? Explain how you determined your answer.
Answer:
Part 1) The system of equations is
[tex]C=8n+12[/tex] ----> equation 1
[tex]C=10n[/tex] ----> equation 2
Part 2) The graph in the attached figure
Part 3) The number of gym visits must be greater than 6
Step-by-step explanation:
step 1
Find the system of equations that represent the situation
Let
C ----> the total cost in dollars
n ---> the number of gym visits
we know that
The linear equation in slope intercept form is equal to
[tex]C=m(n)+b[/tex]
where
m is the slope or unit rate of the linear equation
b is the C-intercept or initial value of the linear equation
First payment option ---> For Members
we have that
The slope or unit rate is equal to [tex]m=\$8\ per\ gym\ visit[/tex]
The C-intercept or initial value is [tex]b=\$12[/tex] --->one-time registration fee
substitute
[tex]C=8n+12[/tex]
Second payment option ---> For Non-Members
we have that
The slope or unit rate is equal to [tex]m=\$10\ per\ gym\ visit[/tex]
The C-intercept or initial value is [tex]b=\$0[/tex]
substitute
[tex]C=10n[/tex]
we have
[tex]C=8n+12[/tex] ----> equation 1
[tex]C=10n[/tex] ----> equation 2
Part 2) Upload a graph
using a graphing tool
The graph in the attached figure
Part 3) After how many gym visits is the payment for the member option more beneficial than the payment for the nonmember option?
we know that
If the payment for the member option is more beneficial than the payment for the nonmember option, then the cost for the member option is less than the cost for the nonmember option
so
The inequality that represent this situation is
[tex]8n+12 < 10n[/tex]
solve for n
subtract 8n both sides
[tex]12 < 10n-8n[/tex]
[tex]12 < 2n[/tex]
Divide by 2 both sides
[tex]6 < n[/tex]
Rewrite
[tex]n > 6[/tex]
therefore
The number of gym visits must be greater than 6
1. Jada measured the height of a plant in a science experiment and finds that, to the 1/4 nearest of an inch, it is 3/4 inches.
a. What is the largest the actual height the plant could be?
b. What is the smallest the actual height the plant could be?
c. How large could the percent error in Jada's measurement be?
The largest possible height of the plant is 1 inch, the smallest possible height is 0 inches, and the largest possible percent error in Jada's measurement is -25%.
Explanation:To find the largest possible height of the plant, we need to round up the measurement of 3/4 inch to the nearest whole inch. In this case, that would be 1 inch. Therefore, the largest the actual height of the plant could be is 1 inch.
To find the smallest possible height of the plant, we need to round down the measurement of 3/4 inch to the nearest whole inch. In this case, that would be 0 inches. Therefore, the smallest the actual height of the plant could be is 0 inches.
The percent error in Jada's measurement can be found by calculating the difference between the approximate measurement and the actual measurement, dividing it by the actual measurement, and then multiplying by 100. In this case, the approximate measurement is 3/4 inch and the actual measurement could be between 0 and 1 inch. So, the largest possible percent error would be (3/4 - 1) / 1 * 100 = -25%, and the smallest possible percent error would be (3/4 - 0) / 1 * 100 = 75%.
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How do u add 2 3/4 + 3 3/8
Answer:
change to improper fractions first
6/8 + 6/24
make so there is a common denominator
6/8 × 3/3 = 18/24
now add
18/24 + 6/24 = 24/24 = 1
The histogram represents the distributions of essay scores for high school sophomores and juniors in a contest. Which statements are true about the data used to create the histogram? Select three options.
The mean is the best comparison of the measures of center.
The juniors tended to have higher essay scores than the sophomores.
The medians of both data sets are equal.
The interquartile range is the best comparison of the measure of variability.
A histogram is the best way to show that both distributions are nearly symmetric.
Answer:
B,C, and E
Step-by-step explanation:
A histogram is a graphical illustration of information in bars of diverse heights. A histogram displays the shape and spread of continuous sample data. The true statements about the data essay scores for high school sophomores and juniors in a contest are; the juniors tended to have higher essay scores than the sophomores, the medians of both data sets are equal and the histogram is the best way to show that both distributions are nearly symmetric.
Answer:
bce
Step-by-step explanation:
Help please,
I had a question like this before but got it wrong, can somebody please explain how to get the answer?
Answer:
-4,5
Step-by-step explanation:
Factor completely 6xv^2-18xv
Answer: 6xv( v - 3 )
Step-by-step explanation:
6xv² - 18xv
Looking into the equation critically, we could see that 6xv is common to the expression.
Therefore, the expression now becomes
6xv( v - 3 ).
Which image shows a counter-clockwise rotation of the blue quadrilateral PQRS 90° around the origin?
The missing figure is attached below.
Answer:
The first image from left.
Step-by-step explanation:
Given:
Rotation of the quadrilateral PQRS by 90 degree counterclockwise around the origin.
We know that, for a 90 degree counterclockwise rotation, the transformation rule for the coordinates is given as:
[tex](x,y)\to (-y,x)[/tex]
So, the 'x' and 'y' interchange their values after rotation and the 'y' value sign is reversed.
Now, let us check each option.
Option 1:
Coordinates of the original quadrilateral are:
P(5, 2.5), Q(1, 4), R(2, 2.5), and S(1, 1)
Now, after rotation by 90 degree counterclockwise, the coordinates of the transformed figure will be:
[tex](x,y)\to (-y,x)[/tex]. So,
P(5, 2.5) → P'(-2.5, 5)
Q(1, 4) → Q'(-4, 1)
R(2, 2.5) → R'(-2.5, 2)
S(1, 1) → S'(-1, 1)
Now, if we check the coordinates of P', Q', R' and S' on the first option, we see that they are same as calculated above. So, the correct option is option 1.
Option 2:
Coordinates of P are (5, 2.5) and coordinates of P' are (2.5, -5) which doesn't match with the transformation rule. So, this option is incorrect.
Option 3:
Coordinates of P are (5, 2.5) and coordinates of P' are (-5, 2.5) which doesn't match with the transformation rule. So, this option is incorrect.
A spinner is divided into three equal parts that are colored different. The colors are red white and blue
Cab companies often charge a flat fee for picking someone up and then charge an additional fee per mile driven. Pick a U.S. city and research the rates of two
different cab companies in that city. Find companies that charge different amounts per mile and have different flat fees. If you have trouble finding this information for two companies, you can make up what you think would be reasonable prices for a cab's flat rate and a cab's rate per mile.
Answer:
1. New York City: The initial charge is $ 2.50 plus $ 0.50 per 1/5 mile when traveling above 12 mph or per 60 seconds in slow traffic or when the vehicle is stopped. There are other surcharges for overnight, rush hour or congestion.
2. Boston: First 1/7 Mile: $2.60 and each 1/7 Mile thereafter: $0.40.
3. Houston: First 1/11 mile $2.80 , each additional 1/11 mile $0.20 . Rate per mile after first mile $2.20 and wait time per minute $0.40.
Step-by-step explanation:
Normally, there's a standard fare for each city, so for answering the question we picked three well-known cities for comparing the fares.
1. New York City: The initial charge is $ 2.50 plus $ 0.50 per 1/5 mile when traveling above 12 mph or per 60 seconds in slow traffic or when the vehicle is stopped. There are other surcharges for overnight, rush hour or congestion.
2. Boston: First 1/7 Mile: $2.60 and each 1/7 Mile thereafter: $0.40.
3. Houston: First 1/11 mile $2.80 , each additional 1/11 mile $0.20 . Rate per mile after first mile $2.20 and wait time per minute $0.40.
SOMEONE HELP PLEASEEE.I NEED HELP WITH 12TH GRADE TRIG.
Answer:
x = 13.7
Step-by-step explanation:
This is a right triangle so we use the trig ratios. We need an angle of reference (not the right angle) and any side (which is given, hypotenuse = 47).
We can either find the angle at the top or the right to be the angle of reference, Θ (theta).
Angle at the top:
The two angles, 17° and the unknown interior angle add to 90° because they are complementary.
∠Θ = 90° - 17° = 73°
Now use the trig ratio cosine.
cosΘ = adjacent ÷ hypotenuse
cos(73°) = x / 47
x = 47cos(73°)
x = 13.74147..... Round down the exact answer to nearest tenth
x ≈ 13.7 Answer
The value of x is the same as the side adjacent to the angle of reference I chose.
If I chose the other missing angle to be the angle of reference, I would use sine and x would be opposite.
The average person's speed when riding a bike along a street is 18 kilometers per hour. What conversion factor can be used to
convert this speed to meters per hour?
A 1 kilometer/
1.000 meters
B 1 meter/
1.000 kilometers
C 1,000 meters/
1 kilometer
D 1.000 kilometers/
1 meter
The conversion factor used to convert kilometer per hour to meter per hour is [tex]1 \text{ meter } = \frac{1}{1000} kilometer[/tex]
Solution:
Given that average person's speed when riding a bike along a street is 18 kilometers per hour
To find: conversion factor used to convert the given speed to meters per hour
Given average speed = 18 km per hour
From the conversion parameters:
1 km = 1000 meters
or
[tex]1 \text{ meter } = \frac{1}{1000} kilometer[/tex]
So, we can use the above conversion factor to convert average speed into meters per hour
18 km per hour = 18000 meter per hour
So the conversion factor used to convert kilometer per hour to meter per hour is [tex]1 \text{ meter } = \frac{1}{1000} kilometer[/tex]
Thus option C is correct. 1000 meters for 1 kilometers
Answer:
its c
Step-by-step explanation:
Pat bounces a basketball 25 times in 30 seconds. At that rate approximately how many times will pat bounce the ball in 150 seconds?
Pat will bounce the ball 125 times in 150 seconds
Solution:
Given that,
Pat bounces a basketball 25 times in 30 seconds
To find: Number of times Pat will bounce the ball in 150 seconds
From given information,
30 seconds = 25 times
Therefore number of times ball bounces in 1 second is:
[tex]\text{1 second } = \frac{25}{30} \text{ times }[/tex]
So to find for 150 seconds, multiply both the sides by 150
[tex]150 \text{ seconds } = \frac{25}{30} \times 150 = 125 \text{ times }[/tex]
Therefore Pat will bounce the ball 125 times in 150 seconds
Answer:
125
Step-by-step explanation: