Isabell some music playlist has 12 rock songs 15 pop songs 13 hip-hop songs and 10 oldies songs.if she sets the playlist on random shuffle what is the probability that the first song will be a pop song?
Answer:
3/10 or 30%
Step-by-step explanation:
it is the number of pop songs in the list divided by all of the songs combined.
so 15 pop songs
over
12+13+10+15=50
15/50 is you answer
simplify and get
3/10
Which graph represents this sysytem? y=3 x+y=4
Answer:
On a coordinate plane, a horizontal line is at y = 3 and another line goes through (0, 4) and (4, 0).
Step-by-step explanation:
Please helppp meee the picture is up there to answer the question
Answer:
-6x-5
Step-by-step explanation:
Answer:
6x^2-10
Step-by-step explanation:
(5x^2+2)-(-4x^2+7)+(-3x^2-5)=
5x^2+2+4x^2-7-3x^2-5=
5x^2+4x^2-3x^2+2-7-5=
9x^2-3x^2-5-5=
6x^2-10
the lines on a coordinate plane are perpendicular.
perpendicular lines form what type of angles?
Final answer:
Perpendicular lines on a coordinate plane intersect to form right angles, which are precisely 90°. The slopes of perpendicular lines are negative reciprocals of each other.
Explanation:
When two lines on a coordinate plane are described as being perpendicular, this means they intersect to form right angles, which are angles of 90°. It's important to recognize that perpendicular lines have slopes that are negative reciprocals of each other. For example, if one line has a slope of 2, a line perpendicular to it would have a slope of -1/2. These slopes ensure that the angles formed between the lines are exactly 90 degrees.
In geometry and physics, this concept is further explored with orthogonal vectors, which are two vectors with directions that differ by exactly 90°, synonymous with perpendicular vectors. Their importance lies in various applications, such as breaking down a force into components acting along perpendicular axes.
6-9x=6x-10x-24
solve for x
plzz help
Answer: 6
Step-by-step explanation:
The answer is 6 because subtract 6-9x=6x-10x-24
The rule at Anna's house is that if she eats all
of her vegetables and does all of her chores
each day, she earns 2 hours of internet time
which she can save. Anna started her week
with 3 hours saved. If she eats all of her
vegetables and does all of her chores each
day for 4 days straight, how many hours does
she have after the 4 days if she uses 6 hours
of her internet time?
Which of the following sets of equations
correctly represents this situation?
Six friends share 15 fruit bars equally how many fruit bars does each friend get
Answer:
2 1/2 bars each.
Step-by-step explanation:
That would be 15/6.
Find the area of the triangle below.
Answer:
73.72
Step-by-step explanation:
Using law of Sines in area:
A(triangle) = S1 * S2 * sin(theta) /2
A(triangle) = 12 * 15 * sin(55) / 2 = about 73.72 when rounded
ANSWER: 73.72
a 11%
b 81.7%
c 18.3%
d 22.4%
Answer: c. 18.3
Step-by-step explanation: 100 times .6 equals 60 so if you divide 11 by .6 you get 18.3
Answer:
here you go
Step-by-step explanation:
add them all together = 60
+ 40 = 100
4 boxed
40 divided by 4 = 10
add 10 onto each number
red = 21%
silver = 34%
grey = 26%
black = 19%
all of them added together = 100%
The perimeter of
the rectangular playground shown
below is 160 feet. What is the area of the
playground?
Known :
Perimeter = 160 ft
length = 50 ft
Asked :
Area = ...?
Answer :
Find the width first :
Perimeter = 2 (length + width)
160 = 2 (50 + width)
width = (160 ÷ 2) - 50
width = 80 - 50
width = 30 ft
Now, let's find the Area :
Area = length × width
= 50 × 30
= 1.500 ft²
So, the area of the playground is 1.500 ft²
Hope it helpful and useful :)
A photo is printed on a 20-inch by 24-inch piece of paper. The photo covers 320 square inches and has a ubiform border. What is the width of
the border?
Answer:2 in.
Step-by-step explanation:
Given
Dimension of photo frame is [tex]20\ in.\times 24\ in.[/tex]
If the photo cover an area of [tex]320\ in.^2[/tex]
Suppose x be the width of border
Therefore dimension of frame without border is
[tex]A'=(20-2x)(24-2x)[/tex]
And [tex]A'[/tex] must be equal to [tex]320\ in.^2[/tex]
So,
[tex]\Rightarrow (20-2x)(24-2x)=320[/tex]
[tex]\Rightarrow (10-x)(12-x)=80[/tex]
[tex]\Rightarrow 120-10x-12x+x^2=80[/tex]
[tex]\Rightarrow x^2-22x+40=0[/tex]
[tex]\Rightarrow x^2-20x-2x+40=0[/tex]
[tex]\Rightarrow (x-2)(x-20)=0[/tex]
Thus there are two values of x out of which [tex]x=20\ in.[/tex] is not valid because it is not feasible
thus width of border is [tex]x=2\ in.[/tex]
The equation h = –0.005x2 + x + 3 describes the path of a baseball hit into the outfield, where h is the height and x is the horizontal distance the ball travels.
a. What is the equation of the axis of symmetry?
b. What is the maximum height reached by the baseball?
c. An outfielder catches the ball three feet above the ground. How far has the ball traveled horizontally when the outfielder catches it?
Answer:
(a)x=100
(b)Maximum Height, h=53 Units
(c)x=200 Units
Step-by-step explanation:
Given the equation which describes the path of the baseball
[tex]h = -0.005x^2 + x + 3[/tex]
(a)Equation of the axis of symmetry
For a quadratic function of the form [tex]y=ax^2+bx+c[/tex], its equation of the axis of symmetry is determined by the equation:
[tex]x=-\dfrac{b}{2a}[/tex]
In the function given: a=–0.005, b=1
Therefore:
[tex]x=-\dfrac{1}{2*-0.005}=\dfrac{1}{0.01}\\\\x=100[/tex]
Equation of the axis of symmetry, x=100
(b)Maximum height reached by the baseball
The maximum height reached by the baseball occurs at the line of symmetry.
Therefore, when x=100
Maximum Height, [tex]h = -0.005(100)^2 + 100 + 3[/tex]
=53 Units
(c)When the height =3 feet, we want to determine the value of x.
[tex]h = -0.005x^2 + x + 3\\3 = -0.005x^2 + x + 3\\-0.005x^2 + x=0\\x(-0.005x + 1)=0\\-0.005x + 1=0\\-0.005x =-1\\$Divide both sides by -0.005\\x=200 Units[/tex]
Final answer:
The equation of the axis of symmetry is x = -100, the maximum height reached by the baseball is 103 feet, and to find the specific distance traveled when caught at 3 feet would require solving the quadratic equation given.
Explanation:
The equation h = –[tex]0.005x^2[/tex]+ x + 3 describes the path of a baseball hit into the outfield, where h is the height and x is the horizontal distance the ball travels.
a. What is the equation of the axis of symmetry?
The equation of the axis of symmetry for a quadratic equation in the form of [tex]ax^2 + bx + c[/tex] is given by x = –b/2a. Hence, for our equation, the axis of symmetry is x = –(1)/(2×–0.005) = –100.
b. What is the maximum height reached by the baseball?
The maximum height can be found by substituting the x-value of the axis of symmetry into the original equation. So, h = –[tex]0.005(100)^2[/tex] + 100 + 3 = 103 feet.
c. An outfielder catches the ball three feet above the ground. How far has the ball traveled horizontally when the outfielder catches it?
To find the horizontal distance when h is 3, we set the equation equal to 3: –[tex]0.005x^2 + x + 3 = 3.[/tex] Simplifying gives x values where the ball is at 3 feet off the ground. After simplification, one possible solution would be the distance before the ball reaches its peak. However, solving this particular quadratic may require a calculator for precise roots, implying the distances at which the ball is 3 feet high.
Consider the figure shown. What solid three dimensional object is
produced by rotating the rectangle about line m?
Answer:a wide cylinder
Step-by-step explanation:
ASAP!!!!10 Points!!!!!
Which describes the correlation show in the scatter plot?
There is a positive linear correlation
There is a negative linear correlation,
There is no positive or negative correlation
There is a nonlinear correlation
The correlation show in the scatter plot There is no positive or negative correlation
What is Correlation?A statistical measure known as correlation expresses how closely two variables are related linearly (meaning they change together at a constant rate). It's a typical technique for describing straightforward connections without explicitly stating cause and consequence.
Given:
The positive linear correlation shows a line which is Diagonally rising.
and, The negative linear correlation shows a line which is Diagonally falling.
So, the graph we have no Correlation because it does not any falling and rising line.
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Help ASAP!! Will mark the brainliest
Answer:
a, c, b, a
Step-by-step explanation:
Sam needs to find the circumference of a circle with a diameter of 24 inches. He uses a calculator to find the circumference. Which answer is reasonable?
A. 72.013678 in
B. 75.398223 in
C. 80.332161 in
D. 85.335372 in
Answer: B
Step-by-step explanation:
Using 6 decimals for pi = 3.141592
[tex]Formula: C= \pi d\\[/tex]
[tex]C=(3.141592)(24in)\\C=75.398223in[/tex]
On a certain hot summer's day, 744 people used the public swimming pool. The daily prices are $ 1.75 for children and $ 2.00 for adults. The receipts for admission totaled $ 1392.25 .How many children and how many adults swam at the public pool that day?
Answer:
383 children and 361 adults
Step-by-step explanation:
Let's say there are a adults and c children. Since the total number of people was 744, we can write:
a + c = 744
We also know that children's prices are $1.75 per child and adults' prices are $2 per adult. Since the total is $1392.25, we can write:
1.75c + 2a = 1392.25
Now we have a system of linear equations:
a + c = 744
1.75c + 2a = 1392.25
Multiply the first equation by 2:
2 * (a + c = 744) ⇒ 2a + 2c = 1488
Now subtract the second equation from this one:
2a + 2c = 1488
- 2a + 1.75c = 1392.25
___________________
0a + 0.25c = 95.75
c = 383
Plug this in to find a:
a + c = 744
a + 383 = 744
a = 361
There were 383 children and 361 adults.
Lets use some variables:
x = number of adults
y = number of children
744 total people used the public swimming pool and the number adults and children are unknown, so, we can write an equation like:
x + y = 744
Since $2 are for adults, we can write that as 2x. Since $1.75 are for children, we can write that as 1.75y. Since the total price is $1,392.25, that's what the equation should equal. Equation:
2x + 1.75y = 1,392.25
Now, we have a system of equations.
~Rationalize equations
x + y = 744, 2x + 7/4y = 5569/4
~Isolate x for [ x + y = 744 ]
x + y - y = 744 - y
x = 744 - y
~Substitute with x
2(744 - y) + 7/4y = 5569/4
~Isolate y for [ 2(744 - y) + 7/4y = 5569/4 ]
2(744 - y) * 4 + 7/4y * 4 = 5569/4 * 4
8(744 - y) + 7y = 5569
5952 - 8y + 7y = 5569
5952 - y = 5569
5952 - 5952 - y = 5569 - 5952
-y = -383
-y/-1 = -383/-1
y = 383
~Substitute y with 383 in [ x = 744 - y ]
x = 744 - 383
x = 361
Therefore, there are 361 adults and 383 children.
Best of Luck!
two similar trapezoids have areas of 180 cm2 and 45cm2. what is their ratio of similarity
The ratio of similarity between the two trapezoids is 2:1, which means that the linear dimensions of the larger trapezoid are twice those of the smaller one.
To find the ratio of similarity between two similar trapezoids with areas of 180 [tex]cm^2[/tex] and 45 [tex]cm^2[/tex], we use the principle that the ratio of the areas of similar figures is equal to the square of the ratio of their corresponding linear dimensions. In other words, if the ratio of similarity (scale factor) between the linear dimensions of two similar figures is 'k', then the ratio of their areas is '[tex]k^2[/tex]'.
Let the ratio of similarity be 'k'. Then we have 180/45 = k^2. Simplifying this, we get 4 = [tex]k^2[/tex] and thus, k = 2. This means the linear dimensions of the larger trapezoid are twice those of the smaller one.
Therefore, the ratio of similarity between the two trapezoids is 2:1.
Select all the correct locations on the table.
Classify each situation as exponential growth, exponential decay, or linear
Answer:
Situation 1 is exponential decay. Situation 2 is linear. Situation 3 is exponential growth.
Step-by-step explanation:
Situation 1 is exponential decay because it declined in a non linear way.
600-480=120 480-364=116
Situation 2 is linear because when it declined it has a dependent to another.
400-340=60 340-280=60
Situation 3 is exponential growth because is increases.
a scale drawing if a living room is shown below. the scale used to create the drawing is 1in. = 2ft ANSWER NEEDED QUICK PIC ABOVE
Answer:
144 ft^2
Step-by-step explanation:
6 inches to feet (comparison based on scale) would make each side 12 feet long (6x2). 12 times 12 is 144.
Answer:
144
Step-by-step explanation:
Danielle had planned her gift basket to be priced at $50 with a 40% gross margin. She forgot packaging costs which will be $3 per unit. If she still keeps the price at $50, how much will her gross margin percentage be after packaging costs?
a) 30%
b) 34%
c) 43%
d) 47%
The gross margin percentage after packaging costs would be a) 30%.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, Danielle had planned her gift basket to be priced at $50 with a 40% gross margin.
let, The original price be 'x'.
Therefore, $50 is 140% of 'x' which is,
(140/100)×x = 50.
1.4x = 50.
x = 50/1.4.
x = 35.71.
Now, The packaging cost is $3 which makes the cost of the product 38.71.
So, (50/38.71)×100.
= 29% gross margin.
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1. Using the floorplan below, calculate the total area of the space.
YOU MUST SHOW ALL WORK FOR CREDIT.
Breakfast)
nook
Kitchen
Formal Dining
1 unit = 5 feet
Answer:
i believe it is 185 feet
The Cole family owns an above-ground circular swimming pool that has walls made of aluminum.
Find the length (l) of aluminum surrounding the pool as shown if the radius is 15 feet.
(use π=3.14 )
Type your result in an empty box provided below rounded to the nearest tenth.
Answer:
Step-by-step explanation:
Heaat
Answer:
I = 94.2 ft
Step-by-step explanation:
The formula for circumference is
[tex]2\pi r[/tex]
if the radius is 15 all you need to do is plug it in and solve
[tex]2\pi 15[/tex]
multiply 2 and 15
30
multiply 30 and pi
94.2
add units and you're done
(if you use the symbol for pi in the calculator it gives you 94.25 but it said to use 3.14 for pi. If you use the symbol pi it's way more than just 3.14)
Solve the equation and check your answer. 61 2 = 11 4 + n Which statements are correct? Check all that apply.
Answer:
its the second, third, and fifth one
Step-by-step explanation:
(5x-2)+(3x+4)+90=180 find x
Answer:
92 i believe .
Step-by-step explanation:
The head-to-tail length of a species of fish is normally distributed, with a
mean of 17.4 cm and a standard deviation of 3.2 cm. One fish is 16.3 cm
long. What is the score of the length of this fish? Round your answer to two
decimal places.
A. 0.54
B. 0.34
C. -0.34
D. -0.54
Answer:
C. -0.34
Step-by-step explanation:
We have that for a normal distribution, the value of z can be calculated using the following formula:
z = (x - m) / sd
where x is the value to evaluate, m the mean and sd the standard deviation, we have those values x = 16.3, m = 17.4 and sd = 3.2
if we replace we have:
z = (16.3 - 17.4) /3.2
z = -0.3437
if we round to 2 decimal places, it would be -0.34, that is, the answer is C.
The z-score for a fish measuring 16.3 cm, with a mean length of 17.4 cm and a standard deviation of 3.2 cm, is -0.34.
The score of the length of the fish, also known as the z-score, is calculated by subtracting the mean from the observed value and then dividing by the standard deviation. Using the provided data, we have a mean (μ) of 17.4 cm and a standard deviation (σ) of 3.2 cm. The fish in question measures 16.3 cm.
To find the z-score, the calculation is as follows:
Z = (X - μ) / σ
Z = (16.3 cm - 17.4 cm) / 3.2 cm
Z = -1.1 cm / 3.2 cm
Z = -0.34 (rounded to two decimal places)
Therefore, the z-score for a fish that is 16.3 cm long is -0.34, which corresponds with answer option C.
Select the correct answer from each drop-down menu.
A cross section is the intersection Of a ___ and a ___
Answer:
a cross section is the intersection of a solid and a plane.
Step-by-step explanation:
What PERCENT of 250 is 60?
Answer:150.
Step-by-step explanation:
|BRAINLIEST|
Divide.
1/8 ÷ 9
Enter your answer as a fraction in simplest form by filling in the boxes.
Answer:
1/72
Step-by-step explanation:
Answer:
1/72
Step-by-step explanation:
1/8 divided by 9 = 1/8 times 1/9.
We have ti flip 9/1 so we get 1/9
You multiply 9 by 8 you get 72
so the answer is 1/72
Quadrilateral BCDE is inscribed in circle A, and mBED = 160".
C
А
84
160°
E
m BCD =
[Select]
degrees and mZBCD = [Select]
degrees.
what is the measure of
Answer:
20°
Step-by-step explanation:
Opposite angles of an inscribed quadrilateral are supplementary.
∠C = 180° -∠E = 180° -160°
m∠BCD = 20°