A dance team is made up of 9 girls and 3 boys. Two of the girls and 1 of the boys are also on the debate team. What percent of the dance team is also on the debate team? Enter your answer in the box.​

Answer:

The weight of 5.12 lb has a z-score of 1.708

Step-by-step explanation:

To convert the weight of 5.12 lb to a z-score, we first need to find the deviation from the mean:

z = (x - μ) / σ

where x is the weight of 5.12 lb, μ is the mean of all weights, and σ is the standard deviation of the weights.

z = (5.12 - 2.335) / 1.631

z = 1.708

Therefore, the weight of 5.12 lb has a z-score of 1.708.

Answer:

  499.338 feet

Step-by-step explanation:

You want to know the distance traveled by an object in 25 seconds when its velocity is described by 20+5cos(t) feet per second.

The distance an object travels is the integral of its velocity. For the given velocity and time period, the distance is ...

  \(\displaystyle d=\int_0^{25}{v(t)}\,dt=\int_0^{25}{(20+5\cos(t))}\,dt=(20t+5\sin(t))|_0^{25}\\\\d=500+5\sin(25)\approx\boxed{499.338\quad\text{feet}}\)

The distance traveled in 25 seconds is 499.33 feet.

It is required to find the distance traveled in 25 seconds.

The distance of an object can be defined as the complete path travelled by an object .Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.

Given:

We have to find the distance , we will integrate v(t) from 0 to 25 second.

Consider an object traveling at constant velocity v = k. Then, each second, it travels k feet, so after t seconds, the distance traveled is k*t.

Now, suppose its speed increases by 1 feet/sec . So, estimate for distance traveled after t seconds is

1 + 2 + 3 + 4 + ... + t = t(t+1)/2, or approximately 1/2 t^2.

According to given question we have

Given a velocity function v, the distance s is figured by taking the integral. In this case,

v = 20 + 5 cos(t)

s = 20t + 5 sin(t) from 0 to 25

= s(45)-s(0)

s(0) = 0

so, the distance is

s(25) = 20*25 + 5sin(25)

= 500 -0.661

=499.33 feet.

Therefore, the distance traveled in 25 seconds is 499.33 feet.

Learn more about distance here:

brainly.com/question/28304899

#SPJ1

Jaeda, this is the solution to the exercise:

Diameter of the cone = 18 m

Radius of the cone = 9 m (18/2)

Height of the cone = 26 m

Let's recall the formula for the volume of a cone:

Volume of a cone = π * r² * h/3

Replacing by the values we know:

Volume of a cone = 3.1416 * 9² * 26/3

Volume of a cone = 3.1416 * 81 * 8.667

Volume of a cone = 2,205.5 cubic meters

Answer:

D

Step-by-step explanation:

The probability that the chosen ball is blue is 55.3%.

If the chosen ball is blue, the probability would be 3.33% that it came from the first urn.

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event. The probability of an event is calculated by dividing the number of ways the event can occur by the total number of possible outcomes.

(a) To find P(A|B1), we use the formula P(A|B) = P(A and B)/P(B).

In this case, P(A and B1) is the probability of choosing a blue ball from the first urn, which is 7/20.

The probability of choosing the first urn is 1/2, so P(B1) = 1/2.

Plugging these values into the formula gives us P(A|B1) = (7/20)/(1/2) = 14/20 = 7/10.

To find P(A|B2), we use the same formula.

In this case, P(A and B2) is the probability of choosing a blue ball from the second urn, which is 14/19.

The probability of choosing the second urn is 1/2, so P(B2) = 1/2.

Plugging these values into the formula gives us P(A|B2) = (14/19)/(1/2) = 28/19.

To find P(A and B2), we use the formula P(A and B) = P(A|B) * P(B).

In this case, we already know that P(A|B2) = 28/19 and P(B2) = 1/2, so P(A and B2) = (28/19) * (1/2) = 28/38.

To find P(A or B2), we use the formula P(A or B) = P(A) + P(B) - P(A and B).

In this case, P(A) is the probability of choosing a blue ball overall, which is 21/38.

P(B2) is the probability of choosing the second urn, which is 1/2.

P(A and B2) is the probability of choosing a blue ball from the second urn, which is 28/38.

Plugging these values into the formula gives us P(A or B2) = 21/38 + 1/2 - 28/38 = 15/38.

The probability that the chosen ball is blue is P(A) = 21/38 = 55.3%.

(b) If the chosen ball is blue, the probability that it came from the first urn is P(B1|A) = P(B1 and A)/P(A).

We already know that P(B1 and A) is the probability of choosing a blue ball from the first urn, which is 7/20.

We also know that P(A) is the probability of choosing a blue ball overall, which is 21/38.

Plugging these values into the formula gives us P(B1|A) = (7/20)/(21/38) = 7/21.

This probability is equal to 33.3%.

Learn more about probability, here https://brainly.com/question/29582649

#SPJ4

Answer: y = 12.6

Step-by-step explanation:

Since x = 2 and y = 6.3 * x, y = 6.3 * 2.

6.3 * 2 is equal to 12.6, so y is 12.6.

Answer:

y = 12.6

Step-by-step explanation:

y = 6.3x                     x = 2

Solve for y.

y = 6.3(2)

y = 12.6

So, the answer is 12.6

Using the Trigonometry ratios, the missing sides and angles are:

1. sin R = 5/13

2. sin T = 12/13

3. cos R = 12/13

4. cos T = 5/13

5. tan R = 5/12

6. tan T = 12/5

7. x = 16.5

8. x = 58.9

9. x = 9.2

10. x = 35.9

11. x = 40.7°

12. x = 77.8°

The Trigonometry ratios that can be used to solve any right triangle are given as: SOH CAH TOA.

SOH is: sin ∅ = opp/hyp

CAH is: cos ∅ = adj/hyp

TOA is: tan ∅ = opp/adj.

1. sin R = opp/hyp = 15/39

sin R = 5/13

2. sin T = 36/39

sin T = 12/13

3. cos R = adj/hyp = 36/39

cos R = 12/13

4. cos T = 15/39

cos T = 5/13

5. tan R = opp/adj = 15/36

tan R = 5/12

6. tan T = 36/15

tan T = 12/5

7. Apply CAH:

cos 38 = x/21

x = (cos 38)(21)

x = 16.5

8. Apply TOA:

tan 23 = 25/x

x = 25/tan 23

x = 58.9

9. Apply TOA:

tan 57 = x/6

x = (tan 57)(6)

x = 9.2

10. Apply SOH:

sin 32 = 19/x

x = 19/sin 32

x = 35.9

11. Apply SOH:

sin x = 15/23

x = sin^-1(15/23)

x = 40.7°

12. Apply TOA:

tan x = 37/8

x = tan^-1(37/8)

x = 77.8°

Learn more about Trigonometry ratios on:

https://brainly.com/question/10417664

Answer:

The answer is 3 miles.

4+2=6 , 6-9=3

Step-by-step explanation:

U for "Union" (or "United").

what do you mean by ' ? complement ?

A u B u C = U (all letters from a to h are in it)

(A u B u C)c = {} (empty set, which is the complement of the full set).

Answer:

volume of the triangular prism

\( (\frac{1}{2} \times 10 \times 10) \times 25 \\ 1250 {cm}^{3} \)

Answer:

Step-by-step explanation:

BY: \(ζBenjamin\)

Answer:

1/10?

Step-by-step explanation:

okay...

The system of equations as an augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

From the question, we have the following parameters that can be used in our computation:

x                  = 100

   -5m  - 7c  = 350

   -5m  - 9c  = 200

The above means that the variables in the system of equations are

x, m and c

So, we have the following representation

x    m     c        

1    0      0        100

0   -5    -7        350

0   -5    -9        200

When represented as an augmented matrix, we have

\(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

Hence, the augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

Read more about matrix at

https://brainly.com/question/11989522

#SPJ1

\(x = 74°\) ✔

We know that,

\(\sf\purple{Sum\:of\:angles\:of\:a\:triangle}\) = 180°

\(➡ \: 32° + x + x = 180° \\ ➡ \: 2x = 180° - 32° \\ ➡ \: x = \frac{148°}{2} \\ ➡ \: x = 74°\)

\(32°+74°+74°=180°\\✒\:180°=180°\)

✒ L. H. S = R. H. S

Hence verified. ✅

\(\large\colorbox{orange}{Happy\:learning.✌️}\)

Answer:

$1,738.91

Step-by-step explanation:

Future value = A(1+i)^n

A= $1,500

i = 3%

n - 5

Future value = $1,500*(1+0.03)^5

Future value = $1,500*(1.03)^5

Future value = $1,500*(1.03)^5

Future value = $1,500*1.1592740743

Future value = $1738.91111145

Future value = $1,738.91

$1,738.91 is the amount of money you will meet in the account when you need it for college in 5 years.

The total amount that the person with base salary 42000; total sales 175000; commission 4% gets is $51000.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. In this case, the percentage of commission is given as 4%.

The commission will be:

= Percentage × Amount

= 4% × 175000

= 7000

Therefore, the total amount that the person gets will be:

= Salary + Commission

= 42000 + 7000

= $51000

Learn more about percentages on:

brainly.com/question/24877689

#SPJ1

Answer:500 I hope this helpful

Step-by-step explanation:

3000 divided by 48 times 8

To make the calculation easier, first multiply the numbers that result in multiples of 10

24000 divided by 48

Divide the numbers
=500

Answer:

250

Step-by-step explanation:

If we follow the rules of PEMDAS, we go from left to right. Therefore, first, do 3,000 divided by 48.

3,000/48=62.5

Now, multiply 62.5 by 4.

62.5x4= 250

250 is your answer :D

Hope this helps and have a wonderful day!

Answer: A

In looking for solutions in the graph of y=f(x) where f(x) = 0, you're looking for the x-intercepts.  The catch is that you only want the x-value of the intercepts.

The intercepts are (-4,0) and (7,0), so the solutions are -4 and 7.

Answer:

Step-by-step explanation:

Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)

To rotate a point 90 degrees  clockwise about a given point,we can follow these steps -

Translate the coordinates   of the given point so that the center of rotation is at the origin.   In this case,we subtract the coordinates   of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).

Perform the rotation by swapping the x and y coordinates and changing the sign of the   new x coordinate. In this case,we  swap the x and y coordinates of (-5, 3)   to  get (3, -5).

Translate the coordinates back to their original position   by adding the coordinates of the center (0,1)  to the result from step 2. In   this case, we add (0,1) to (3, -5) to get (3, -4).

Therefore, the coordinates   of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).

Learn more about coordinates at:

https://brainly.com/question/17206319

#SPJ1

Answer:

itś D!!!

Step-by-step explanation:

Answer:

A) 48

Step-by-step explanation:

Given:

b = 16

c = 20

Pythagorean thm:

a² + b² = c²

a² + 16² = 20²

a² + 256 = 400

a² = 144

a = 12

To find perimeter:

P = a + b + c

P = 12 + 16 + 20

P = 48

Answer:

f(1) = 1

Step-by-step explanation:

To evaluate a function, you see the y value it gives when you plug in the x value.

When you plug in 1 for the x value, the y value is also 1, so f(1) = 1

Answer:

y=1x+7

Step-by-step explanation:

LOOK AT THE IMAGE

The domain of d(x) = -(x+7)^2 + 9 are the set of all real numbers and the function is d(x) = -(x+7)^2 + 9

from the question, we have the following parameters that can be used in our computation:

d(x) = -(x+7)^2 + 9

This means that the function is d(x) = -(x+7)^2 + 9

There is no restriction on the input values, x

So, the domain of d(x) = -(x+7)^2 + 9 is all real numbers, since there is no restriction on the input (x).

Read more about domain at

brainly.com/question/2264373

#SPJ1

The simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

To simplify the expression √([2m5z6]/[xy]), we can break it down step by step:

Simplify the numerator:

√(2m5z6) = √(2) * √(m) * √(5) * √(z) * √(6)

= √2m√5z√6

Simplify the denominator:

√(xy) = √(x) * √(y)

Combine the numerator and denominator:

√([2m5z6]/[xy]) = (√2m√5z√6) / (√x√y)

Thus, the simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

For such more questions on simplified form

https://brainly.com/question/28323654

#SPJ8

a)The probability that daily production is less than 27.6 liters is given by the equation P ( x < 27.6 ) = 0.014179

b) The probability that daily production is more than 49.4 liters is given by the equation P ( x > 49.4 ) = 0.02275

The relationship between a value and the mean of a set of values is expressed numerically by a Z-score. The Z-score is computed using the standard deviations from the mean. A Z-score of zero indicates that the data point's score and the mean score are identical.

The Z-score is calculated using the formula:

z = (x - μ)/σ

where z: standard score

x: observed value

μ: mean of the sample

σ: standard deviation of the sample

Given data ,

Let the probability that daily production is less than 27.6 liters be represented as P

Now , the equation will be

a)

The observed value of x = 27.6 L

The mean of the sample μ = 39 L

The standard deviation of the sample σ = 5.2 L

Now , z-score is calculated using the formula:

z = (x - μ)/σ

Substituting the values in the equation , we get

z = ( 27.6 - 39 ) / 5.2

z = -2.19231

Now ,the p value from the z table is

P ( x < 27.6 ) = 0.014179

And , the probability is P ( x < 27.6 ) = 0.014179 = 1.418 %

Therefore , the probability that daily production is less than 27.6 liters is given by P = 1.418 %

b)

The observed value of x = 49.4 L

The mean of the sample μ = 39 L

The standard deviation of the sample σ = 5.2 L

Now , z-score is calculated using the formula:

z = (x - μ)/σ

Substituting the values in the equation , we get

z = ( 49.4 - 39 ) / 5.2

z = 2

Now ,the p value from the z table is

P ( x < 49.4 ) = 0.97725

P ( x > 49.4 ) = 1 - P( x < 49.4 ) = 0.02275

And , the probability is P ( x > 49.4 ) = 0.02275 = 2.275 %

Therefore , the probability that daily production is more than 49.4 liters is given by P₁ = 2.275 %

Hence , the probabilities are solved

To learn more about z-score click :

https://brainly.com/question/25638875

#SPJ1

Answer:

sure just bring the question and it will be answered