the population of mice in hooville is decreasing at a rate of 2%. The current mouse population is 750,000. Write the function to represent the population of the mice in Hooville.

Answer:

6 2 point shots 2 3 points

Step-by-step explanation:

3 two point shot 1 3 point shot = 9

6 two point shot 2 3 point shot =18

If the person concludes that there is a difference based on this rare occurrence, they are committing a Type I error. To avoid this error, it is important to set an appropriate level of significance.

When a person concludes that there is a difference between population means when she has actually observed an improbable difference between two sample means that come from identical populations, she has made a Type I error. A Type I error, also known as a false positive, occurs when a hypothesis test incorrectly rejects the null hypothesis.

In this case, the null hypothesis states that there is no difference between the population means. However, due to sampling variability, there may be a rare occurrence of an improbable difference between the sample means. If the person concludes that there is a difference based on this rare occurrence, they are committing a Type I error.

To avoid this error, it is important to set an appropriate level of significance (alpha) for the hypothesis test and carefully interpret the results based on the calculated p-value.

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Answer:

The answer is C my good sir

Step-by-step explanation:

Answer:

Yes you're right, the answer is $18.

Step-by-step explanation:

$90/5=$18

Answer:

$9

Step-by-step explanation:

divide 45 and 5, you get 9

Answer:

45.00$ divided by 5.00$ is 9.00$

i hoped this helped!

Step-by-step explanation:

Answer:

48 i think

Step-by-step explanation:

Answer:

$48

Step-by-step explanation:

Given:

A scale model of a building having the dimensions of 3 inches in length and 4 inches in width.

Here, 1 inch = 40 feet.

To find the actual dimensions of the base of the building:

Since 1 inch = 40 feet,

So we have,

Thus, the length of the base of the building is 120 feet and the width of the base of the building is 160 feet.

Answer:

h(2) = 8

Step-by-step explanation:

We are told that the function h(x)= -x² + 6x Models the path of water in a fountain in meters

Since the function is h(x)= -x² + 6x.

It means h(2) will be;

h(2) = -(2²) + 6(2)

h(2) = -4 + 12

h(2) = 8

Answer:

the free

Step-by-step explanation:

Answer: download the app photo math and rewrite your equation and replace your variables with your numbers so the app can understand it. then just take a pic with it on the app and it will give you the answer. its a super useful app!

Step-by-step explanation:

Work Shown:

n(A only) = number of items inside set A only

n(A only) = 12

n(A and B) = 16

n(B only) = 20

n(A or B) = n(A only) + n(A and B) + n(B only)

n(A or B) = 12 + 16 + 20

n(A or B) = 48

n(Total) = n(A only) + n(A and B) + n(B only) + n(Not A, not B)

n(Total) = 12+16+20+24

n(Total) = 72

P(A or B) = n(A or B)/n(Total)

P(A or B) = 48/72

P(A or B) = 0.67 approximately

Answer:

Step-by-step explanation:

The absolute value of any number is always positive. There are no exceptions when you are referring to a number inside |  | . So - 9 becomes 9. which is not equal to 5 and it is not less than 5.

9>5 is the answer.

The coordinates of both possible positions for point B are B1 = (4, 2) and B2 = (-1, 4).

To find the coordinates of both possible positions for point B, which is 2√5 units from point A (1,1) and lies on the intersection of two grid lines, follow these steps:

1. Recall the distance formula: d = √((x2 - x1)² + (y2 - y1)²)

2. Substitute the given distance and point A coordinates into the formula: 2√5 = √((x - 1)² + (y - 1)²)

3. Square both sides of the equation: (2√5)² = ((x - 1)² + (y - 1)²)

4. Simplify: 20 = (x - 1)² + (y - 1)²

5. Analyze the equation and consider the possible integer values of x and y that satisfy the equation, since B lies on the intersection of two grid lines.

There are two possible positions for point B:

- When x = 4 and y = 2: (4 - 1)² + (2 - 1)² = 3² + 1² = 9 + 1 = 20. Therefore, B1 = (4, 2).

- When x = -1 and y = 4: (-1 - 1)² + (4 - 1)² = (-2)² + 3² = 4 + 9 = 20. Therefore, B2 = (-1, 4).

In conclusion, the coordinates of both possible positions for point B are B1 = (4, 2) and B2 = (-1, 4).

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The equation y= 2x-15 can be used to estimate how many minutes will pass after 4:00 pm until she reaches her destination.

The following equation can be used to estimate how many minutes after 4:00 p.m. the pilot will reach her destination:

y = 2x - 15

This equation represents the number of minutes after 4:00 p.m. the pilot will arrive at her destination. The variable x represents the time, in minutes, of her original flight, and y represents the number of minutes after 4:00 p.m. she will arrive at her destination. The expression "2x" represents the time the pilot will arrive at her destination if she had traveled at twice her original speed, and the "-15" represents the delay caused by air traffic.

To solve this equation, you would substitute the value of x into the equation and solve for y. For example, if the pilot's original flight time was 60 minutes, the equation would be:

y = 2(60) - 15

= 120 - 15

= 105

This means that the pilot will arrive 105 minutes after 4:00 p.m., or at 5:45 p.m.

The complete question is:-

A pilot was scheduled to depart at 4:00 pm, but due to air traffic, her departure has been delayed by 15 minutes. Air traffic control approved a new flight plan that

will allow her to arrive two times faster than she calculated in her original flight plan. Let x represent the time, in minutes, of her original flight. Create an equation

that can be used to predict the number of minutes after 4:00 pm she will arrive at her destination.

y = 2x + 15

©y=-*x+15

y = x-15

y = 2x - 15

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Answer:

1) The amount to be paid as insurance if the revenue increases is $937,000

2) Yes because the total value of the risk insured and the likelihood of the occurrence of the risk both increases

Step-by-step explanation:

1) The given amount in revenue of the Diablo's Domain = $250,000,000

The amount the company paid as insurance  = $750,000

The equivalent amount the company paid as insurance = $3 for every $1,000

The percentage amount in revenue the park revenue increases by = 25%

Therefore, the new amount in revenue = 1.25 × $250,000,000 = $312,500,000

The amount to be paid as insurance if the revenue increases = $315,500,000 × 3/1000 = $937,5000

The amount to be paid as insurance if the revenue increases = $937,000

2) It is reasonable for the insurance cost to increase proportionally when the items insured which leads to the increase in revenue increases because the value of the risk insured which is the event of settlement for losses increases as well as the probability of the risk occurring also increases.

For the given function:

a. h(t) = -16t² + 200t + 25

Maximum height = 650 feet

Required air time = 1767.67 seconds

b. h(t)=-16t² +36t+4

Maximum height = 24.25 feet

Required air time = 545.99 seconds

For the the function,

(a) h(t) = -16t² + 200t + 25

We can write it as

⇒ h(t) = -16(t² - 12.5t) + 25

⇒ h(t) = -16(t² - 12.5t + 6.25² - 6.25²) + 25

⇒ h(t) = -16(t - 6.25)² + 650

Therefore,

Maximum height of this function is 650 feet.

The air time is found at the value of t that makes h(t) = 0.

Therefore,

⇒  -16t² + 200t + 25 = 0

Applying quadrature formula we get,

⇒ t = 1767.67 seconds

(b) h(t)=-16r²+36t+4

We can write it as

⇒ h(t) = -16(t² - 2.25t) + 4

⇒ h(t) = -16(t² - 12.5t + 1.125² - 6.25²) + 4

⇒ h(t) = -16(t - 1.125)² + 24.25

Therefore,

Maximum height of this function is 24.25 feet.

The air time is found at the value of t that makes h(t) = 0.

Therefore,

⇒  -16t²+36t+4 = 0

Applying quadrature formula we get,

⇒ t = 545.99 seconds

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Answer:

From the given diagram, the measurement of ∠RQS is 106° and the measurement of ∠TQS is 74°

Step-by-step explanation:

For this problem, we are to find the measurements of ∠RQS and ∠TQS which makes up the straight line RQT. Straight lines have a measurement of 180°. So, since ∠RQS and ∠TQS make up ∠RQT, then we are goingt o set up an equation where we add ∠RQS and ∠TQS together and equal them to ∠RQT.

m∠RQS + m∠TQS = m∠RQT

Now, let's fill the information from the problem into our equation.

(11x + 7) + (8x + 2) = 180

Combine like terms on the left side of the equation.

19x + 9 = 180

Subtract 9 form both sides of the equation.

19x = 171

Divide by 19 on both sides of the equation.

x = 9

So, we know the value of x is 9. Now, let's plug in this value into each angle so we can see the measurements of each.

m∠RQS = 11(9) + 7 = 99 + 7 = 106°

m∠TQS = 8(9) + 2 = 72 + 2 = 74°

Answer:

K = 3 D

( K − 4 ) = 5 ( D − 4 )

 k-4=5d-20

5D-k=20-4

5D-3D=16

2D=15

D=8

therefor Daniel has to be 8

Answer:

Daniel is 8 years old now.

please see the attached picture for full solution..

Hope it helps..

Good luck on your assignment...

Answer:

x=75°

y=105°

Step-by-step explanation:

We can see that the top left angle is 105°.

That angle is corresponding to angle y, and corresponding angles are congruent.

This means that angle y=105° also.

Now, x and y are both on a straight line, meaning the angle is 180°.

We can subtract angle y from that to find angle x:

180=105+x

subtract 105 from both sides

75=x

So, angle x is 75°.

Hope this helps! :)

(a) The dot product of A and B is given by: A · B = (2î + 3ĵ + 4k) · (î - 2ĵ + 3k)= 2(1) + 3(-2) + 4(3)= 2 - 6 + 12 = 8

Therefore, A · B = 8.

(b) The angle between two vectors A and B is given by:

θ = cos^(-1)((A · B) / (|A| |B|))

In this case, |A| is the magnitude of vector A and |B| is the magnitude of vector B. The magnitude of a vector is given by the square root of the sum of the squares of its components.

|A| = √(2² + 3² + 4²) = √(4 + 9 + 16) = √29

|B| = √(1² + (-2)² + 3²) = √(1 + 4 + 9) = √14

Plugging in the values:

θ = cos^(-1)(8 / (√29 √14))

(c) The scalar component of vector A in the direction of vector B is given by:

A_B = (A · B) / |B|

Plugging in the values:

A_B = 8 / √14

(d) The cross product of vectors A and B is given by:

A x B = (2î + 3ĵ + 4k) x (î - 2ĵ + 3k)

= (3(3) - 4(-2))î + (4(1) - 2(3))ĵ + (2(-2) - 3(3))k

= 17î - 2ĵ - 13k

Therefore,AXB = 17î - 2ĵ - 13k.

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(a) The dot product of A and B is given by: A · B = (2î + 3ĵ + 4k) · (î - 2ĵ + 3k)= 2(1) + 3(-2) + 4(3)= 2 - 6 + 12 = 8

Therefore, A · B = 8.

(b) The angle between two vectors A and B is given by:

θ = cos^(-1)((A · B) / (|A| |B|))

In this case, |A| is the magnitude of vector A and |B| is the magnitude of vector B. The magnitude of a vector is given by the square root of the sum of the squares of its components.

|A| = √(2² + 3² + 4²) = √(4 + 9 + 16) = √29

|B| = √(1² + (-2)² + 3²) = √(1 + 4 + 9) = √14

Plugging in the values:

θ = cos^(-1)(8 / (√29 √14))

(c) The scalar component of vector A in the direction of vector B is given by:

A_B = (A · B) / |B|

Plugging in the values:

A_B = 8 / √14

(d) The cross product of vectors A and B is given by:

A x B = (2î + 3ĵ + 4k) x (î - 2ĵ + 3k)

= (3(3) - 4(-2))î + (4(1) - 2(3))ĵ + (2(-2) - 3(3))k

= 17î - 2ĵ - 13k

Therefore,AXB = 17î - 2ĵ - 13k.

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Answer:

3

Step-by-step explanation:

Well, both triangles are equilateral so all sides measure the same. Because of this, we can determine the scale by seeing how much the first triangle is different from the second.

3 x 3 = 9, so therefore the triangle tripled in size.

Hope this was helpful!!

Answer:

Parallelograms

Step-by-step explanation:

Answer:

42 cm A

Step-by-step explanation:

Answer: 11.4%

Step-by-step explanation:

100% of your life is 57 years

?% will be 6.5 years?

this is a simple ratio problem:

57 --> 100%

6.5 ---> (6.5 x 100)/57 ≅ 11.4%

You have known the person for about 11.4% of your life.

Answer:

38

Step-by-step explanation:

Just substitute it. The equation becomes

70 - 4(8)

70 - 32 = 38

Answer:

38

Step-by-step explanation:

70 - 4a =

70 - 4*8=

70 - 32= 38

Answer:

The answers are C), D), and E) because these three answers satisfy the conditions above.

Step-by-step explanation:

Joseph could use C), D), and E) to make kebabs without any leftovers:

C) 30 pieces of meat and 40 pieces of vegetables

D) 45 pieces of meat and 60 pieces of vegetables

E) 72 pieces of meat and 96 pieces of vegetables

Answer:

Tbh Im not sure

Step-by-step explanation:

Answer:

I think the answer is 1/2 (x^2 + 11x + 30) but see the discussion below.

Step-by-step explanation:

I can hardly read the signs between the dimensions. This is my best guess.

Area Shaded = Area Rectangle - Area Triangle

Area Rectangle = (x + 5)(x + 6)

Area Triangle = 1/2 (x + 5 ) ( x + 6)

Area shaded = (x + 5)(x+6) - 1/2 (x + 5)(x + 6)

Area shaded = 1/2 (x + 5)(x + 6)

Area Shaded = 1/2 (x^2 + 11x + 30)

If the second factor (x + 6) is really x - 6 then the area of the shaded area is 1/2  (x+5)(x - 6)

Area Shaded = 1/2 * (x^2 - x - 30)

the potential at the center of the equilateral triangle is 3kq√3 / a.To find , we can use the formula for the electric potential due to a point charge:

V = kq / r

where k is the Coulomb constant, q is the charge, and r is the distance between the point charge and the center of the triangle.

Assuming the charges are all positive, the potential at the center due to each charge will be the same, so we can find the total potential by multiplying the potential due to one charge by three.

The distance from the center of the equilateral triangle to each charge is a/√3, since the height of the equilateral triangle is √3/2 times the side length.

Therefore, the potential at the center is:

V = 3(kq / (a/√3))

Simplifying:

V = 3kq√3 / a

Hence, the potential at the center of the equilateral triangle is 3kq√3 / a.

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