The mean, median, and mode of the weekly salaries at the Midtown Construction Company are provided. We can use this information to answer questions about the percentage of salaries surpassing certain values and the total salary of all employees.
Explanation:To answer the question, we need to understand what each statistical term means.
The mean is the average of a set of numbers. In this case, the mean salary is $620.
The median is the middle value of a set of numbers when they are arranged in ascending order. In this case, the median salary is $610.
The mode is the value that appears most frequently in a set of numbers. In this case, the mode salary is $600.
Now, let's answer the questions:
c. To find the percentage of employees' salaries that surpassed $645, we need to calculate the percentage of values that are greater than $645 in the data set. Since the third quartile is $645, we know that 75% of the salaries are less than or equal to $645. Therefore, about 25% of the salaries surpassed $645.
d. To find the percentage of employees' salaries that surpassed $685, we need to calculate the percentage of values that are greater than $685 in the data set. Since the 85th percentile is $685, we know that 85% of the salaries are less than or equal to $685. Therefore, about 15% of the salaries surpassed $685.
e. To find the total weekly salary of all employees, we need to multiply the mean salary ($620) by the number of employees (100). Therefore, the total weekly salary of all employees is $62,000.
-5x-3.5 < 6.5
-5x <10
x >2
Answer:
x=3 ??i think
Step-by-step explanation:
cuz it makes sense like that
sin^2x + sin x = 0
Find all solutions to the equation
25 POINTS! ANSWER ASAP! ANSWER IS THERE HANDWRITTEN, I JUST NEED SOLVING STEPS.
Answer:
x = 0, 9/25
Step-by-step explanation:
25x² = 9x
25x² - 9x = 0
x(25x - 9) = 0
x = 0
25x - 9 = 0
x = 9/25
If you are good at writing explicit definition (rule) for the nth term of a geometric sequence Please Help!! Show work
Answer:
an = (5/16)2^(n -1)
Step-by-step explanation:
The explicit formula for the n-th term of a geometric sequence is ...
an = a1·r^(n-1)
Filling in the given values, we get two equations in a1 and r:
a5 = 5 = a1·r^(5 -1)
a9 = 80 = a1·r(9 -1)
Dividing the second equation by the first gives ...
80/5 = (a1·r^8)/(a1·r^4)
16 = r^4
2 = r . . . . . . . . because we know 2^4 = 16. You could also solve using logarithms
Then we can find a1 from ...
5 = a1·r^4 = 16·a1
5/16 = a1
The explicit formula is ...
an = (5/16)2^(n -1)
__
The above formula matches the form of the equation usually expected. However, we can make the fraction go away by adjusting the exponent:
an = 5(2^-4)(2^(n-1))
an = 5·2^(n -5)
What is the length of the unknown leg in the right triangle? A right triangle has a side length of 7 millimeters and hypotenuse of StartRoot 85 EndRoot millimeters. The other side is labeled a. 6 mm 8 mm StartRoot 78 EndRoot mm StartRoot 134 EndRoot mm
Answer:
6mm or A
Step-by-step explanation:
Answer:
its indeed A i got it right :D
Step-by-step explanation:
What do the four yellow tiles in the model of the equation below represent? 3 long x tiles and 4 square 1 tiles = 2 negative 2 tiles –4 4 –4x 4x
Answer:
The answer to your question would be 4 (positive) because the yellow tiles represent one. Since there are 4 yellow tiles the answer would be 4.
The four yellow tiles in the model of the equation represent 4x.
In the given equation, we have 3 long x tiles and 4 square 1 tiles on the left side of the equation. These represent 3x and 4 respectively.
On the right side of the equation, we have 2 negative 2 tiles. These represent -2 and are shown as negative tiles in the model.
The yellow tiles specifically represent the term 4x, which means we have 4 instances of x.
So, in this equation, the four yellow tiles represent the term 4x, which means we have 4 instances of x.
Find the value of x in the figure
Answer:
x = 100
Step-by-step explanation:
[tex]57 \degree + (x + 23) \degree = 180 \degree..(straight \: line \: \angle s) \\ (x + 80) \degree = 180 \degree \\ x + 80 = 180 \\ x = 180 - 80 \\ \huge \red{ \boxed{x = 100}}[/tex]
Answer:
x = 100°
Step-by-step explanation:
57° + 23° = 80°
180° - 80° = 100°
look at my previous answer to another person who posted this same question if you want a more detailed version
Write an equation in point-slope form of the line that passes through the point (2, 1) and has a slope of m= 2.
Answer:
y-1=2(x-2)
Step-by-step explanation:
Which set of numbers may represent the lengths of the sides of a triangle?
A. 4,4,9
B. 8,5,3
C. 5,7,9
D. 1, 3, 4
Answer:
C
Step-by-step explanation:
You randomly choose a jelly bean from a jar. The jar contains 20 jelly beans: 4 red jelly beans, 8 yellow jelly beans, 3 green jelly beans, and 5 purple jelly beans. Find the probability of selecting a red jelly bean. EXPRESS ANSWER AS A FRACTION! *
Answer:
1/5 probability
Step-by-step explanation:
1) The total number of jelly beans is 20. This will be your denominator.
2) There are 4 red jelly beans. This is your numerator.
3) Using the numerator and denominator we have, your fraction is 4/20.
4) That can be simplified into 1/5.
does the infinite geometric series diverge or converge? Explain.
1/5 + 1/10 + 1/20 + 1/40
A) it diverges it has a sum
B) it diverges doesn’t have a sum
C) it converges it has a sum
D) it converges doesn’t have a sum
Answer:
The other guy is correct except for question five.
If your question is "Use summation notation to write the series 2+4+6+8+... for 10 terms. In each of these images, the lower limit of the summation notation is either "n=1" or "n=0".
The answer should be 10∑n=1 (2n) not (n+2)
The correct option is (C) it converges it has a sum.
Infinite Geometric Series:
An infinite geometric series is an infinite series whose successive terms have a common ratio. This is easily proven by using an infinite geometric series. This series would have no last term. The general form of the infinite geometric series is[tex]a + a r + a r^ 2 + a r ^3 +...[/tex]+ ..., where [tex]a[/tex] is the first term and [tex]r[/tex] is the common ratio.
We can find the sum of all finite geometric series.
Given series can be written as;
[tex]\frac{1}{5}+\frac{1}{10}+\frac{1}{20}+\frac{1}{40}+..... \\ a=\frac{1}{5} \\ r=\frac{1}{2} \\ \Rightarrow \frac{a}{1-r}=\frac{1/5}{1-1/2} \\[/tex]
[tex]=\frac{2}{5}[/tex]
Therefore, [tex]\frac{2}{5}[/tex] is infinite, so it converges.
Learn more about the topic Infinite Geometric Series: https://brainly.com/question/12213123
If you were on the moon, your weight would only be 0.17 of your weight on Earth. If you weigh 195.75 pounds on Earth, how much would you weigh on the moon?
Answer:
32.49
Step-by-step explanation:
The weight of the person on the moon is 33.2775 pounds.
Given that, if you were on the moon, your weight would only be 0.17 of your weight on Earth.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Here, weight on earth is 195.75 pounds
Now, weight on the moon
= 0.17×195.75
= 33.2775 pounds
Hence, the weight of the person on the moon is 33.2775 pounds.
To learn more about the unitary method visit:
brainly.com/question/22056199.
#SPJ5
What is this answer to the question
Answer:
60
Step-by-step explanation:
Please help.
v= u + at
u = 3
a = -2
t = 1/4
Work out the value of v.
v = 2.5 or 5/2
3 + 2 x - 1/4 = 5/2
5/2 = 2.5
anyone know this ?! help pls asap
(-7)² ➡️ 49
(⅔)² ➡️ ⁴/6
- /100 ➡️ -10
/.81 ➡️ .9
Select the correct answer.
The zeros of a quadratic function are 6 and -4. Which of these choices could be the function?
A.
f(x) = (x + 6)(x − 4)
B.
f(x) = (x + 6)(x + 4)
C.
f(x) = (x − 6)(x + 4)
D.
f(x) = (x − 6)(x − 4)
Answer:
[tex]\huge\boxed{C.\ f(x)=(x-6)(x+4)}[/tex]
Step-by-step explanation:
[tex]\text{If}\ x_1\ \text{and}\ x_2\ \text{are the zeros of quadratic function}\ f(x)=ax^2+bx+c,\\\\\text{then we can convert}\ f(x)\ \text{to the form}\ f(x)=a(x-x_1)(x-x_2).\\\\\text{We have the zeros}\ x_1=6\ \text{and}\ x_2=-4.\\\\\text{Substitute:}\\\\f(x)=a(x-6)(x-(-4))=a(x-6)(x+4)\\\\\text{For}\ a=1\ \text{we have answer}\ C.\ f(x)=(x-6)(x+4)[/tex]
Help me plzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
V =1236.4 ft^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
The radius is d/2 =15/2 = 7.5
V = 3.14 (7.5)^2 * 7
V = 1236.375
Rounding to the nearest tenth
V =1236.4 ft^3
What is the measure of RMN?
117
[Not drawn to scale]
27 degrees
63 degrees
117 degrees
163 degrees
Answer:63
Step-by-step explanation:
CNA SOMEONE EXPLAIN HOW TO SOLVE A VECTOR COMPONENT??
Answer:
Step-by-step explanation:
when you break a vector into its parts, those parts are called its components. For example, in the vector (4, 1), the x-axis (horizontal) component is 4, and the y-axis (vertical) component is 1. Typically, a physics problem gives you an angle and a magnitude to define a vector; you have to find the components yourself using a little trigonometry.
Suppose you know that a ball is rolling on a flat table at 15 degrees from a direction parallel to the bottom edge at a speed of 7.0 meters/second. You may want to find out how long the ball will take to roll off the edge 1.0 meter to the right.
Define your axes so the ball is at the origin initially and the x-axis is parallel to the bottom edge of the table (refer to the figure). Therefore, the problem breaks down to finding out how long the ball will take to roll 1.0 meter in the x direction. To find the time, you first need to know how fast the ball is moving in the x direction.
The problem tells you that the ball is rolling at a speed of 7.0 meters/second at 15 degrees to the horizontal (along the positive x-axis), which is a vector: 7.0 meters/second at 15 degrees gives you both a magnitude and a direction. What you have here is a velocity — the vector version of speed. The ball’s speed is the magnitude of its velocity vector, and when you include a direction to that speed, you get the velocity vector v.
To find out how fast the ball is traveling toward the table edge, you need not the ball’s total speed but the x component of the ball’s velocity. The x component is a scalar (a number, not a vector), and you write it like this: vx. The y component of the ball’s velocity vector is vy. Therefore, you can say that
v = (vx, vy)
That’s how you express breaking a vector up into its components. So what’s vx here? And for that matter, what’s vy, the y component of the velocity? The vector has a length (7.0 meters/second) and a direction
And you know that the edge of the table is 1.0 meter to the right.
As you can see in the figure, you have to use some trigonometry to resolve this vector into its components. No sweat. The trig is easy after you get down the angles you see in the figure.
The magnitude of a vector v is expressed as v, and from the figure, you can see that the following is true:
The two vector-component equations are worth knowing because you see them a lot in any beginning physics course. Make sure you know how they work, and always have them at your fingertips.
Of course, if you forget these equations, you can always retrieve them from basic trigonometry. You may remember that the sine and cosine of an angle in a right triangle are defined as the ratio of the opposite side and the adjacent side to the hypotenuse, like so:
By multiplying both sides of these equations by v, you can express the x and y components of the vector as
You can go further by relating each side of the triangle to each other side (and if you know that
you can derive all these from the previous two equations as required; no need to memorize all these):
You know that
so you can find the x component of the ball’s velocity, vx, this way:
Plugging in the numbers gives you
You now know that the ball is traveling at 6.8 meters/second to the right. And because you also know that the table’s edge is 1.0 meter away, you can divide distance by speed to get the time:
Because you know how fast the ball is going in the x direction, you now know the answer to the problem: The ball will take 0.15 seconds to fall off the edge of the table. What about the y component of the velocity? That’s easy to find, too:
Find the segment length indicated. Assume that lines which appear to be tangent are tangent.
9514 1404 393
Answer:
D) 15
Step-by-step explanation:
The Pythagorean theorem is helpful.
17² = 8² + ?²
289 = 64 + ?²
225 = ?²
√225 = ? = 15
The diameter is 15.
What is the value of y when x= 2 in the equation y= 2x - 2?
Answer:
y=2
Step-by-step explanation:
y= 2x - 2
Let x =2
y = 2(2)-2
y = 4-2
y = 2
Final answer:
To find the value of y when x equals 2 in the equation y = 2x - 2, we substitute 2 for x, giving us y = 4 - 2, which simplifies to y = 2.
Explanation:
The student asks for the value of y when x is equal to 2 in the equation y = 2x - 2. To find the value of y, we replace x with 2 in the equation and solve for y.
So we get:
y = 2(2) - 2
y = 4 - 2
y = 2
Therefore, the value of y when x equals 2 in the given equation is 2.
Yoo can someone do this for me
Answer:
Angle 5
Step-by-step explanation:
Adjacent angles share a common side and a common vertex.
Swimming pool is 10m long, 8m wide and 4m deep. Allen wants to know the
Volume of the swimming pool because he wants to fill it with water. what is the volume of the swimming pool?
Answer: 320 m²
Step-by-step explanation:
10m × 8m× 4m = 320
i don't know if the formula is the same in english cause im french but i learned it with the formula long side ×wide side×deep side
What is 6/100 + 2/10
Answer:
[tex]\frac{26}{100}[/tex]
Step-by-step explanation:
[tex]\frac{6}{100}[/tex] can stay untouched, but [tex]\frac{2}{10}[/tex] has to be changed to [tex]\frac{20}{100}[/tex]. Now that they have they have the same denominator, you can add them. [tex]\frac{6}{100} + \frac{20}{100} = \frac{26}{100}[/tex], which can be simplified, which is [tex]\frac{13}{50}[/tex].
Answer:
13/50
Step-by-step explanation:
6/100 + ¹⁰⁾2/10 =
6/100 + 20/100
(6 + 20)/100
26⁽²/100
13/50
Jasmine invests $1500 in an account that earns an interest rate of 4% compounded
continuously. How much money will she have in 4 years? (round to the hundredth place)
Answer:
After 4 years she will have $1760.67 in her account.
Step-by-step explanation:
Jasmine invested initial amount = $1500
Rate of interest = 4% compounded continuously
Duration of investment = 4 years
Formula to calculate the final amount when compounded continuously is,
[tex]P(t)=Ie^{rt}[/tex]
where I = Initial amount
r = rate of interest
t = duration of investment
P(t) = Final amount
[tex]P(4)=1500e^{0.04(4)}[/tex]
= [tex]1500e^{0.16}[/tex]
= 1760.266
≈ $1760.27
Therefore, after 4 years she will have $1760.67 in her account.
Final answer:
To calculate the amount of money Jasmine will have in 4 years with a 4% continuous interest rate, use the formula A = P * e^(rt), where A is the final amount, P is the principal, e is Euler's number, r is the interest rate, and t is the time in years. Evaluating the expression, the result is approximately $1657.29.
Explanation:
To calculate the amount of money Jasmine will have in 4 years, we can use the formula for compound interest. The formula is: A = P * e^(rt), where A is the final amount, P is the principal (initial investment), e is Euler's number (approximately 2.718), r is the interest rate, and t is the time in years. In this case, Jasmine invests $1500 at an interest rate of 4% compounded continuously, so we have A = 1500 * e^(0.04*4). Evaluating this expression, we find that Jasmine will have approximately $1657.29 in 4 years.
Help ASAP Please!!!!
Expand 3d(d+4)
Answer:
3d^2 + 12d
Step-by-step explanation:
You just have to expand like since there are two d's then is would be squared. Anything outside the () gets multiplied by the whole equation.
Answer:
3d²+12d
Step-by-step explanation:
(3d x d) + (3d x 4)
What is 5 2/3 +2 1/5
[tex]5 \frac{2}{3} + 2 \frac{1}{5} = 7 \frac{13}{15} [/tex]
Step-by-step explanation:
[tex]5 \frac{2}{3} + 2 \frac{1}{5} \\ = \frac{17}{3} + \frac{11}{5} \\ = \frac{17 \times 5}{3 \times 5} + \frac{11 \times 3}{5 \times 3} \\ = \frac{85}{15} + \frac{33}{15} \\ = \frac{118}{15} \\ = 7 \frac{13}{15} [/tex]
So, the value is 7 13/15
Hope it helpful and useful :)
Answer: The answer is 7 13/15 in fraction
Step-by-step explanation:
Evaluate c-2when c=7
look at the attached picture ⤴
Hope it will help u...
Answer:
5
Step-by-step explanation:
Since we know that c is equal to 7, we can substitute 7 in for c in the expression
c-2
Substitute 7 in for c, because c=7
7-2
Subtract
5
What is the equation of the line
Answer:
I think that the answer is y=(1/2)(2)(3)
Step-by-step explanation:
to find it you use 1/2 BH it worked for your problem too
Use the graph to identify the independent and the
dependent variable. Check all that apply.
O
The two variables are Eli and 5.
The two variables are meters and seconds.
0 Meters are graphed on the x-axis.
Meters are graphed on the y-axis.
0 Seconds is the independent variable.
0 Seconds is the dependent variable.
I need help
Answer:
The two variables are meters and seconds.Meters are graphed on the y-axis.Seconds is the independent variable.Step-by-step explanation:
The problem is about meters and seconds, because the graph shows the relation of the distance and the time used by an object.
It's important to know that the time doesn't depends on anything, that means, it's always an independent variable. And the distance always depends on the time, because depending on the time you are moving, you will cover more distance.
Therefore, the answers are:
The two variables are meters and seconds.Meters are graphed on the y-axis.Seconds is the independent variable.Answer:
B) The two variables are meters and seconds.
D) Meters are graphed on the y-axis.
E) Seconds is the independent variable.
Step-by-step explanation: