A sample of 100 college students is selected from all students registered at a certain college, and it turns out that 38 of them participate in intramural sports. True or false: a. The proportion of students at this college who participate in intramural sports is 0.38. b. The proportion of students at this college who participate in intramural sports is likely to be close to 0.38, but not equal to 0.38.

\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ f(x)=2(x+8)^2-2\implies f(x)=2[x-(\stackrel{h}{-8})]^2\stackrel{k}{-2}~\hfill \stackrel{vertex}{(-8~~,~~-2)}\)

Answer:

37

Step-by-step explanation:

I don't know if this is totally correct

ATQ,

★⤿ 8(x+9) ≥ 224

★⤿ x+9 ≥ 224/8

★⤿ x +9 ≥ 28

★⤿ x ≥ 28-9

★⤿ x ≥ 19

Hence , option A is correct ✓

The perimeter of the rectangle is 62 square units.

The perimeter of a rectangle can be calculated using the formula:

P = 2(L + W)

Where:

L is the length of the rectangle

W is the width of the rectangle

We have:

L = 20 units

W = 11 units

Substituting into the formula:

P = 2(20 + 11)

P = 2(31)

P = 62 square units

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Question in English

What is the perimeter of a rectangle if it is 20 long and 11 wide?

Answer:

You could use rate reasoning because, one day is 405 miles traveled. It is  3,272 miles from Sacramento to Key West, and when you use rate reasoning, you can tell that it will take about 8 days from Sacramento to Key West (3 more days if your counting the 5 days that they have already traveled)

Hope this helps

Answer:

4,800 CM  squared

Step-by-step explanation:

I found the answer for the area of the polygon by following the formula to find the area of a polygon.

Answer:

1 r 4

Step-by-step explanation:

 0 1

6 1 0

− 0  

 1 0

−   6

   4

Answer:

The answer is below

Step-by-step explanation:

Annie and Maria traveled overseas for 7 days and stayed in three different hotels in three different cities: Stockholm, Sweden; Oslo, Norway; and Paris, France.

The total bill for all seven nights (not including tax) was  $1040. The total tax was $106. The nightly cost (excluding tax) to stay at the hotel in Paris was $80 more than the nightly cost (excluding tax) to stay in Oslo. Find the cost per night for each hotel excluding tax.

Solution:

Let x represent the cost per night to stay in Paris (France), let y represent the cost per night to stay in Stockholm (Sweden) and let z represent the cost per night to stay in Oslo (Norway).

They spent 1 night in Paris, 4 nights on Stockholm and 2 nights in Oslo, hence:

x + 4y + 2z = $1040         (1)

They were taxed 8% in Paris, 11% in Stockholm and 10% in Oslo, hence:

(8% of x) + (11% of 4y) + (10% of 2z) = $106

0.08x + 0.44y + 0.2z = 106      (2)

Also, The nightly cost (excluding tax) to stay at the hotel in Paris was $80 more than the nightly cost (excluding tax) to stay in Oslo. Hence:

x = z + 80

x - z = 80           (3)

Solving equations 1, 2 and 3 simultaneously gives:

x = $200, y = $150 and z = $120

Therefore they spent $200 per night in Paris, $150 per night in Stockholm and $120 per night in Oslo.

The image of point P under a 90-degree counter Clockwise rotation about the origin is (-6, -4).

To find the image of point P = (-4, 6) after a 90-degree counterclockwise rotation about the origin, we can use the following formula:

(x', y') = (xcosθ - ysinθ, xsinθ + ycosθ)

where (x, y) are the coordinates of the original point, θ is the angle of rotation, and (x', y') are the coordinates of the rotated point.

In this case, θ = 90 degrees, so we have:

(x', y') = (-4cos90 - 6sin90, -4sin90 + 6cos90)

        = (-6, -4)

Therefore, the image of point P under a 90-degree counterclockwise rotation about the origin is (-6, -4).

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Answer:

2.72 inches

Step-by-step explanation:

1040/8.5=122.35

1 inch on the map = 122.35 miles actual distance

333/122.35=2.72

Answer:

ASA

Step-by-step explanation:

If STV is congruent to UVT as UTV is congruent to SVT, then TV is a transversal which is congruent to itself. Therefore, reading left to right, the theorem that proves the triangles congruent is ASA because we have two pairs of congruent angles and one side.

Answer:

25 Regular tickets and 7 Senior Tickets

Step-by-step explanation:

Solving the given logarithmic equation, it is found that the horn is 100 times more intense compared to the weakest sound heard to the human ear.

The equation is given by:

\(d = 10\log{\frac{p}{p_0}}\)

In which:

In this problem, we have that d = 20, and we have to solve the logarithmic equation for p to find how many times more intense the sound is:

\(d = 10\log{\frac{p}{p_0}}\)

\(20 = 10\log{\frac{p}{p_0}}\)

\(\log{\frac{p}{p_0}} = 2\)

The logarithm is inverse of the function \(10^x\), hence we apply the function to both sides to find the ratio.

\(\frac{p}{p_0} = 10^2\)

\(\frac{p}{p_0} = 100\)

Hence, the horn is 100 times more intense compared to the weakest sound heard to the human ear.

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Answer:

u=-8

Step-by-step explanation:

-4u+3=4u-5

-4u-4u=-5-3

*Divide U by  four and we are left with U. Add -5+-3 = -8

u=-8

Answer:

$42.00

Step-by-step explanation:

We can represent the given information as a ratio:

% of original price : price

                          5% : $2.00

Then, we can multiply both sides of this ratio by 20 (or 100% / 5%) to get 100% of the original price, which IS the original price.

5%      :  $2.00

↓ × 20   ↓ × 20

100%  :  $40.00

Now that we know the original price, we can add $2.00 to get the new price.

$40.00 + $2.00 = $42.00

Answer:

Only B I'm pretty sure and if I'm wrong I'm sorry but I'm like 99% sure it's only B

Answer:

52 or 28

Step-by-step explanation:

An isosceles has 2 congruent angles.

There are 2 possibilities:

A) There are two 76-deg angles and one angle of a different measure.

76 + 76 + x = 180

x = 28

B) There are two congruent angles, and 76 is the non-congruent angle.

x + x + 76 = 180

2x = 104

x = 52

Answer: 52 or 28

Answer:

If there are points that are named you can name it that way

Step-by-step explanation:

If there is a point and it's called A, and there is another point and it is called B, and they form a line together, you can call it "Line AB"

Answer:

\(x = \frac{9}{ \sqrt{2} } = \frac{9 \sqrt{2} }{2} \)

Irene bought 13/16 flour because you add 9/16 to 4/16 the denominator always stays the same when adding. 9+4=13 so the answer is 13/16

Answer:

x = 23

Step-by-step explanation:

Segment bisector, XY, divides segment RS into two equal parts, RE and SE. Therefore, it follows that, RE and SE are congruent.

RE = x + 15

SE = 2x - 8,

To find the value of x, set RE equal to SE to get an equation.

Thus:

x + 15 = 2x - 8

Collect like terms

x - 2x = -15 - 8

-x = -23

Divide both sides by -1

x = 23

The transformation in this problem is a translation combined with a reflection, hence yes, it is a rigid motion, as the side lengths of the transformed figure are equal to the side lengths of the original figure.

Examples of transformations are given as follows:

The dilation is the only transformation that is not a rigid motion, as it changes the side lengths of the figure.

The transformation for this problem has the rule defined as follows:

(x,y) -> (x + 2, -y).

The transformations are defined as follows:

Neither transformation is a dilation, hence it is a rigid motion.

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Answer:

84

Step-by-step explanation:

2/12 = 14/x

Reduce the left fraction.

1/6 = 14/x

Cross multiply.

1 × x = 6 × 14

x = 84

Answer:

The answer is 84 because 2 times 6 is 12 and 14 times 6 is 84.

Step-by-step explanation:

To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:

1/2 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

1/2 and 4/8

Now, the fractions are equivalent.

---

4/12 and __/60

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:

4/12 and 20/60

Now, the fractions are equivalent.

---

2/3 and __/12

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

2/3 and 8/12

Now, the fractions are equivalent.

---

4/4 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:

4/4 and 8/8

Now, the fractions are equivalent.

The time taken to the closest minutes for the pie to cool to 80∘F is 123 minutes

T(t) = 68e^−0.0174t + 72

80 = 68e^−0.0174t + 72

80 - 72 = 68e^−0.0174t

8 = 68e^−0.0174t

e^−0.0174t = 8/68

e^−0.0174t = 0.11764705882352

ln e (−0.0174t) = ln (0.11764705882352)

1 × −0.0174t = -2.1400661634962708

-0.0174t = -2.1400661634962708

t = -2.1400661634962708 / -0.0174

t = 122.9923

Approximately,

t = 123 minutes

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Answer:

B. y=-4x+2

Step-by-step explanation:

y-6=-4x-4

y=-4x-4+6

y=-4x+2

There would be 20 guests for the restaurants to cost the same

Linear equations are equations that have constant average rates of change.

Note that the constant average rates of change can also be regarded as the slope or the gradient

From the question, we have the following parameters:

Red Lobster

Rate per person = $30

Set up fee = $100

Olive Garden

Rate per person = $25

Set up fee = $200

So, the equations of the restaurants are

Red Lobster = 30g + 100

Olive Garden = 25g + 200

Where the number of guests is g

When the restaurants cost the same amount, we have

Red Lobster = Olive Garden

Substitute the known values in the above equation

So, we have

30g + 100 = 25g +200

Evaluate the like terms

5g = 100

Divide by 5

g = 20

Hence, the number of guests is 20

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