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TEA [102]
2 years ago
14

For the first year of his car insurance policy, Tom pays $77 per month. Tom's payments are reduced to $65 per month in the secon

d year as a reward for good driving. What is the percent decrease? Round to the nearest tenth of a percent
Mathematics
2 answers:
Tcecarenko [31]2 years ago
6 0
77/65=1.18
round 1.18 to 1.2
Anit [1.1K]2 years ago
4 0

Answer:

15.6%

Step-by-step explanation:

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PLEASE HELP: Choose the function whose graph is given by:
DIA [1.3K]

Answer:

The function of the graph is y = 3 cos (4x) ⇒ answer A

Step-by-step explanation:

- If the equation is y = A cos (B x)  

* A is the amplitude  

- The amplitude is the height from highest to lowest points and  

  divide the answer by 2  

* The period is 2π/B  

- The period is the distance from one peak to the next peak

* Lets look to the graph

- The maximum value is 3 and the minimum value is -3

∵ The height from the maximum point to the minimum point is

   3 - (-3) = 3 + 3 = 6

∴ The amplitude is 6/2 = 3

∵ A is the amplitude

∴ A = 3

- The distance between two consecutive peaks is π/2

∵ The period is the distance from one peak to the next peak

∴ The period = π/2

∵ The period = 2π/B

∴ 2π/B = π/2 ⇒ divide both sides by π

∴ 2/B = 1/2 ⇒ by using cross multiplication

∴ B = 4

- Lets write the form of the function

∵ y = A cos (Bx)

∵ A = 3 and B = 4

∴ y = 3 cos (4x)

* The function of the graph is y = 3 cos (4x)

4 0
2 years ago
Cora is playing a game that involves flipping three coins at once. Let the random variable HHH be the number of coins that land
arlik [135]

Answer:

0.875

Step-by-step explanation:

P(H=0) = 0.125

P(H=1) = 0.375

P(H=2) = 0.375

P(H=3) = 0.125

P(H<3) = P(H=0) + P(H=1) + P(H=2)

P(H<3) = 0.125 + 0.375 + 0.375

P(H<3) = 0.875

4 0
1 year ago
Read 2 more answers
Two parallel lines are intersected by a third line so that angles 1 and 5 are congruent. 2 parallel horizontal lines are interse
densk [106]

Answer:

"They are supplementary" ⇒ last answer

Step-by-step explanation:

* <em>Look to the attached figure</em>

- Two parallel horizontal lines are intersected by a third line

- The angles formed form intersection are labeled on the figure

- From the two parallel lines and  

 ∠5 ≅ ∠1 ⇒ corresponding angles

 m∠5 = m∠1

- A linear pair is two angles that are adjacent and form a line and

 they are supplementary

 ∠1 and ∠3 form a line

 ∠1 and ∠3 are linear pair

* <em>lets prove that ∠3 and ∠5 are supplementary</em>

∵ m∠1 = m∠5 ⇒ corresponding angles

∵ ∠1 and ∠3 form a linear pair

∵ Linear pair are supplementary

∴ m∠1 + m∠3 = 180°

- By substitute ∠1 by ∠5

∴ m∠5 + m∠3 = 180

∴ ∠5 and ∠3 are supplementary

* The true statement is "They are supplementary"

8 0
1 year ago
Read 2 more answers
A random sample of 15 observations from the first population revealed a sample mean of 350 and a sample standard deviation of 12
marissa [1.9K]

Answer:

Step-by-step explanation:

Hello!

You have two random samples obtained from two different normal populations.

Sample 1

n₁= 15

X[bar]₁= 350

S₁= 12

Sample 2

n₂= 17

X[bar]₂= 342

S₂= 15

At α: 0.05 you need to obtain the p-value for testing variances for a one tailed test.

If the statistic hypotheses are:

H₀: σ₁² ≥ σ₂²

H₁: σ₁² < σ₂²

The statistic to test the variances ratio is the Stenecor's-F test. F_{H_0}=(\frac{S^2_1}{Sigma^2_1}) * (\frac{S^2_2}{Sigma^2_2} )~F_{n_1-1;n_2-1}

F_{H_0}= \frac{(12)^2}{(15)^2} * 1= 0.64

The p-value is:

P(F_{14;16}≤0.64)= 0.02

I hope it helps!

7 0
2 years ago
Steven has 20 tickets to use at the carnival. Jared has 4 tickets to use at the carnival. How many times as much is the amount o
sesenic [268]
5 times the amount pretty sure
5 0
1 year ago
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