A hockey coach recorded the number of shots taken by the home team and the number taken by the visiting team in 20 games. He displayed the results in the box plots below.

A box plot titled Number of Shots Taken by home team players. The number line goes from 10 to 32. The whiskers range from 16 to 32, and the box ranges from 20 to 23. A line divides the box at 22.
Number of Shots Taken by Home Team Players

A box plot titled Number of Shots Taken by visiting team players. The number line goes from 10 to 32. The whiskers range from 14 to 32, and the box ranges from 16 to 24. A line divides the box at 18.
Number of Shots Taken by Visiting Team Players

Which describes an inference that the coach might make after comparing the medians of the two data sets?
The home team took more shots than the visiting team.
The visiting team took more shots than the home team.
The home team had more variability in the number of shots taken.
The visiting team had more variability in the number of shots taken.

Answer:

It shows exponential decay and not growth

Step-by-step explanation:

In this question, we are asked to examine the mathematical relation and determine if it shows growth or decay

The mathematical relation in the question shows decay.

Why?

This is because looking at the mathematical equation that represents the model of the equation, we can see that the multiplying term present alongside the original term is a number that is less than 1. As this number is less than 1, subsequent multiplications will surely be less than 1 also. This means each subsequent term will have a value which is less than the preceding term. This makes a case for why the model is for decay and not for growth.

Had it been that the term we have in the bracket is a number which is greater than 1, even let’s say 1.0001, this will ensure that subsequent terms will be higher than preceding term and as such we can explicitly state that what we have is growth and not decay. But unfortunately, this is not the case here

The base, 0.45, is less than 1, so this is a decay function

Answer:

Step-by-step explanation:

To answer this question, we can begin by creating factors from this equation:

(2cosθ-1)(cosθ-1)= 0.

Now, we just need to set the factors equivalent to 0 and solve:

2cosθ= 1.

cosθ= 1/2

θ= [tex]\frac{\pi }{3}[/tex], [tex]\frac{5\pi }{3}[/tex]

cosθ= 1

θ= 0, 2[tex]\pi[/tex].

Answer: Theta (θ) = 2πn, π/3 + 2πn, 5π/3 + 2πn

Step-by-step explanation:

2cos²(θ) - 3cos(θ) = -1

Let cos(θ) = u

2u² - 3u + 1 = 0

u = 1, u = 1/2

Substitute u with cos(θ) and you have your answer.

I used Symbolab's variable solving calculator for this since I'm lazy :\

Answer:

d

Step-by-step explanation

just answered the question

Answer: D

Step-by-step explanation:

There were 189 in-state students and 54 out of state students.

Total number of students = 243

Number of In-state students will be:

= 7/(7+2) × 243

= 7/9 × 243

= 189

Number of Out of states students will be:

= 2/(7+2) × 243

= 2/9 × 243

= 54

Therefore, there were 189 in-state students and 54 out of state students.

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Answer:

7, 7, 11

Step-by-step explanation:

If 7 is the mode then it would have to be listed twice.

To get the range you subtract the smallest number from the greatest.

In this case, 11 would be your last number because 11-7=4.

Hope this helps!

-MoCKEry.

The numbers from smallest to largest given the conditions stated are 3, 7, 7. This is determined based on the mode, range, and the fact that the highest number is not 7.

The subject is Mathematics, specifically on the topic of statistics related to the mode and range of a set of numbers. In this case, the mode (the number that appears most often) is given as 7, the range (the difference between the highest and the lowest number) is 4, and it is stated that the highest number is not 7. Given this information, we can work out that one of the other numbers must be 7 (for the mode to be 7, there must be at least two 7s), and the third number must be 3 away from this number to provide a range of 4. The only way this can happen without the highest number being 7 is for the numbers to be 3, 7, 7.

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Answer:

Step-by-step explanation:

To plot points on a graph, assign x-values to the x-coordinate and calculate the corresponding y-values using the equation y = x² + 2. Connect the points to graphically represent the dependence of y on x.

The given table contains the following points: (1,5), (2,10), (3,7), and (4,14). These points represent the values of x and y in the equation y = x² + 2. To plot these points on a graph, you can assign x-values to the x-coordinate and calculate the corresponding y-values using the equation. For example, when x=1, y = 1² + 2 = 3, so the point (1,3) can be plotted on the graph. By connecting all the points, you can graphically represent the dependence of y on x.

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Answer:

3:50pm

Time Keisha went to the park- 1:30pm

Time spent for hiking- 1hour 35 minutes

Time spent at the picnic area- 45 minutes

1: 30pm

+1. 35min

2: 65pm

But 60 minutes is 1 hour so the 65 will be changed to 1 hour 5 minutes making it

3: 05pm

3: 05pm

+0: 45min

3: 50pm

Hence the time Keisha left the park was 3:50pm

Keisha entered the park at 1:30 pm, hiked for 1 hour 35 minutes, and spent 45 minutes at the picnic area, which means she left the park at 3:50 pm.

The subject of this question is Mathematics, specifically addressing the concept of adding and subtracting measures of time. Keisha entered the park at 1:30 pm and spent 1 hour and 35 minutes hiking. To calculate the time after hiking, you add 1 hour and 35 minutes to 1:30 pm, which brings the time to 3:05 pm. She then spends 45 minutes at the picnic area, so you add 45 minutes to 3:05 pm. Hence, Keisha leaves the park at 3:50 pm.

Answer:

if x=4 then y=18

Step-by-step explanation:

hope this helps

please mark brainliest ;)

Answer:

Step-by-step explanation:

first, do 4x3. that should equal 12. then, do 12 + 6, or 6 times 3, which equals 18. so, the answer is 18

To justify the conclusion that ∠PTQ ≅ ∠RTQ by SAS, the congruent supplements theorem and CPCTC are needed.

To justify the conclusion that ∠PTQ ≅ ∠RTQ by SAS (Side-Angle-Side) in the given triangles PST and RST, we need to use the following:

Therefore, by using the congruent supplements theorem and the CPCTC theorem, we can conclude that ∠PTQ and ∠RTQ are congruent.

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Answer:

0.8 would be the approximate height

Step-by-step explanation:

you can make an equation and solve for the height (x)

375 = 3.14(12.5^2)x

when you solve this equation, you specifically get 0.76. but your question is asking for the approximate, so you would round it up to 0.8. hope this helps!

Answer:

D. 0.8

Step-by-step explanation:

The formula for finding the volume of cylinders is:

V= (pi)(r^2)(h)

r is the radius and h is the height. V is the volume.

plug in the values.

375 = (3.14)(12.5^2)(h)

375 = (3.14)(156.25)(h)

375 = 490.625 x h

Divide both sides of the equation by 490.625

0.7643... = h

round the decimal to the tenths place and get 0.8

Answer:

3 x 5 is 15 so it would be 3:15

5 x 5 is 25 so it would be 5:25

Step-by-step explanation:

Just multiply by 5 for each one

3 x 5 is 15 so it would be 3:15

5 x 5 is 25 so it would be 5:25

631 is the answer-I’m taking this castle learning rn

Using the normal distribution, it is found that 631 of the 750 incoming students can be expected to be enrolled in the tutoring program.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The proportion of students who score one standard deviation below the mean is the p-value of Z = 1, hence it is of 0.8413.

Hence, out of 750 students, the number is given by:

0.8413 x 750 = 631 students can be expected to be enrolled in the tutoring program.

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Answer: Yes, Sally is correct.

Step-by-step explanation: Both of Sally's statements are mathematically correct, because to begin with the total of the sum of angles in a triangle is always equal to 180 degrees. An acute angle is less than 90 degrees and that means we can calculate three acute angles from a triangle.

Also an obtuse angle is greater than 90 degrees, but less than 180 degrees. That means, a triangle cannot have more than one obtuse angle. If for instance a triangle has an angle measuring 91 degrees (obtuse angle), then the other two angles will be divided between the remainder which is 89 degrees.

Also a triangle can only have one right angle (which measures 90 degrees). This implies that, in a right angled triangle, there cannot be another 90 degree angle, because that would reduce the shape to two angles only (which is not possible).

A triangle can contain at least two acute angles (and at most three acute angles) and all three angles in either case must add up to 180 degrees.

Please refer to the picture attached for more information.

Answer:

Yes Sally is correct

Step-by-step explanation:

We note that an obtuse angle = Angle larger than 90°

Acute angle = Angle lesser than 90°

Sum of angles in a triangle = 180°

Number of angles in  triangle = 3

Therefore, assuming the angles in the triangle are A, B and C where C is obtuse or at least 90°, then we have;

C ≥ 90° therefore taken as obtuse

A + B + C = 180°

A + B  = 180° - C

∴ A + B  = 180°- (≥90°) = ≤90°

Hence A + B   ≤ 90°

Which means A and B are less than 90°, therefore both acute

Therefore, a triangle can have only one angle (C in the above example) greater than or equal to 90° and at least two acute angles A and B in the above example.

Answer:

sqrt5/5

Step-by-step explanation:

The questions regarding swimmers position is required.

The initial height of the swimmer is 14 foot.

The max height of the dive is 23 foot.

The x intercept is [tex](8,0)[/tex]. This means she is at ground level.

It is mentioned that the springboard is 14 foot high.

So, initial height of the swimmer is 14 foot.

The maximum height of the dive will be point of curve which is the highest in the [tex]y[/tex] axis.

That point is 23 foot.

The x intercept is the point where the parabola touches the [tex]x[/tex] axis.

Here that point is [tex](8,0)[/tex]

This means that the diver is at ground level but she traveled a horizontal distance of 8 feet.

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Answer: 3/18 simplified is 1/6

Step-by-step explanation:

5 monkeys +4 giraffes +6 elephants+3 tigers= 18 animal crackers in all.

You would put how many animal crackers there are over the total number of animal crackers, which is 3/18 and then you would simplify it. 3/18=1/6

Answer:

x = 20

Step-by-step explanation:

they are both obtuse angles which means they arent supplementary they equal themselves. so you have 7x-30=6x-10 and then you just do the algebra

Please mark Brainliest :)

Answer:

-23

Step-by-step explanation:

Answer: 30(short piece) 90(long piece)

Step-by-step explanation:

Answer:

B. 4

Step-by-step explanation:

The formula for this equation is (x-h)²+(y-k)²=r²

So 16 is represented by r² in that equation

All you have to do is find the square root of 16, which is 4, so the answer is B. 4

The radius of the circle represented by the equation (x + 7)² + (y + 7)² = 16 is 4 units.

In mathematics, specifically in coordinate geometry, the standard form to represent a circle's equation is (x-h)² +(y-k)² = r², where (h,k) are the coordinates of the circle's center and r is the radius. Looking at the provided equation, (x + 7)² + (y + 7)² = 16, you can recognize this as following the same format. Here, h = -7, k = -7, and r² = 16. Therefore, the radius of the circle is the square root of 16, which equals 4. Therefore, the length of the radius of circle O is 4.

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Answer:

$120.14

Step-by-step explanation:

This question is an example of a compound percentage decrease.

To work this out you would first need to convert the percentage of 25 into a decimal. You can do this by dividing the percentage of 25 by 100, this gives you 0.25. This is because percentages are out of 100.

The next step is to minus 0.25 from 1, this gives you 0.75. This is because we are working out the percentage decrease.

The final step is to multiply the amount of 900 by 0.75 to the power of 7, this gives you $120.14.

1) Divide 25 by 100.

[tex]25/100=0.25[/tex]

2) Minus 0.25 from 1.

[tex]1-025=0.75[/tex]

3) Multiply 900 by 0.75 to the power of 7.

[tex]900*0.75^7=120.14[/tex]

Answer:

If you’re looking for the vale after 8 years, I got $90 but I’m not sure if I’m right .

Step-by-step explanation:

Answer:

Step-by-step explanation:

a² - b² = (a+ b)(a - b)

1) (2n-4/2n) ÷ (n^2-4/n)

[tex]=\frac{2n-4}{2n}*\frac{n}{n^{2}-4}\\\\=\frac{2n-2*2}{2n}*\frac{n}{n^{2}-2^{2}}\\\\=\frac{2*(n-2)}{2n}*\frac{n}{(n+2)*(n-2)}\\\\=\frac{1}{n+2}[/tex]

2) [y^2-36/y^2-49] ÷[ y+6/y-7]

[tex]=\frac{y^{2}-36}{y^{2}-49}*\frac{y-7}{y+6}\\\\=\frac{y^{2}-6^{2}}{y^{2}-7^{2}}*\frac{y-7}{y+6}\\\\=\frac{(y+6)*(y-6)}{(y+7)*(y-7)}*\frac{y-7}{y+6}\\\\=\frac{y-6}{y+7}\\[/tex]

3) [m^2-1/ m^2-m] ÷ [m^2-7m-8/3m ]

[tex]=\frac{m^{2}-1}{m^{2}-m}*\frac{3m}{m^{2}-7m-8}\\\\=\frac{(m+1)*(m-1)}{m*(m-1)}*\frac{3m}{(m-8)*(m+1)}\\\\=\frac{3}{m-8}[/tex]

Hint :  m² - 7m - 8

sum = -7

Product  = -8

Factor = (-8), 1

m² - 7m - 8  =m² - 8m + m - 8

                   = m*(m - 8) + (m-8)

                   = (m - 8)(m +1)

Answer:

"If they add all of the pencils together and then divided by how many of them there, which is 60/5, we can that there will be 12 pencils given to each person."

"Sample Response: Maria should give away 2 pencils. Ted should get 3 pencils. Lucinda should give away 1 pencil. Everyone should have 12 pencils. "

Check all that you included in your response.

Maria should give away 2 pencils.

Ted should get 3 pencils.

Lucinda should give away 1 pencil.

Everyone should have 12 pencils.

Step-by-step explanation:

Answer: $3,150.00

Step-by-step explanation:

[tex]Formula: A=P(1+rt)[/tex]

Where;

A = amount

P = principal ($2,000)

r = rate (11.5% or 0.115)

t = time (5 years)

Plug this into the formula

[tex]A=(2000)(1+(0.115)(5))\\A=(2000)(1+0.575)\\A=(2000)(1.575)\\A=3150[/tex]

The gradient of the line segment between points (2,3) and (4,7) is calculated using the formula m = (y2 - y1) / (x2 - x1), yielding a gradient of 2.

In mathematics, the gradient of a line segment between two points is the slope of that line. The slope or gradient can be calculated using the following formula: m = (y2 - y1) / (x2 - x1), where (x1,y1) and (x2,y2) are the coordinates of the two points.

In this scenario, the coordinates of the points are (2,3) and (4,7). Using the formula, we substitute the coordinates into the formula to get m = (7 - 3) / (4 - 2) = 4/2 = 2. Therefore, the gradient of the line segment between the points (2,3) and (4,7) is 2.

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Step-by-step explanation:

Simple

Speed of 1 hour = 51 miles

Total miles = 459

459 ÷ 51 = 9

It will take 9 hours for him to reach his destination