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lesya [120]
3 years ago
14

Find the value of x in the triangle shown below. a. x=21 b. x=42 c. x= 15 d. x=21

Mathematics
2 answers:
Svetradugi [14.3K]3 years ago
5 0

Answer:

c is the answer by phythagours theorm

Ierofanga [76]3 years ago
3 0

Answer:

c

Step-by-step explanation:

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Help!!! Two customers took out car loans from a bank.
Nikitich [7]

Answer:

  • Susan paid $2220 more

Step-by-step explanation:

<u>Use the interest formula:</u>

  • I = Prt, where P - amount of loan, r- interest rate, t- time in years

<u>Robert:</u>

  • I = 30000*(4.9/100)*4 = 5880

<u>Susan:</u>

  • I = 30000*(4.5/100)*6 = 8100

<u>Difference in amounts of interest:</u>

  • 8100 - 5880 = 2220

Susan paid $2220 more

8 0
2 years ago
Read 2 more answers
Hi can you help me with this problem i dont understand it​
Romashka-Z-Leto [24]

Answer:

Answer is d - x = \frac{y + z}{4}

Step-by-step explanation:

Step 1: Add 'z' to both sides

4x -z (+z) = y + z

4x = y + z

Step 2: To solve for x, divide both sides by 4

\frac{4x}{4} = \frac{y + z}{4}

x = \frac{y + z}{4}

5 0
2 years ago
An automobile insurance company issues a one-year policy with a deductible of 500. The probability is 0.8 that the insured autom
Effectus [21]

Answer:

y₀.₉₅ = 3659

Step-by-step explanation:

P( no accident ) = 0.8

P( one accident ) = 0

deductible = 500

mean = 3000

<u>Determine the 95th percentile of the insurance company payout </u>

Assuming : y =company payout , x =amount of loss incurred due to accident

Then :

P( x < 500 ) = 0.2 ( 1 - e^-500/3000)

                   = 0.2 ( 1 - e^-1/6 )

95th percentile =

= P( y < y₀.₉₅  ) 0.95

  P( y = 0 ) = 0.8 + 0.2 ( 1 - e^-1/6 ) = 0.8307

attached below is the remainder of the solution

5 0
3 years ago
Refer to the following scenario:You want to see if there is a difference between the exercise habits of Science majors and Math
bekas [8.4K]

Answer:

1. H0: P1 = P2

2. Ha: P1 ≠ P2

3. pooled proportion p = 0.542

4. P-value = 0.0171

5. The null hypothesis failed to be rejected.

At a signficance level of 0.01, there is not enough evidence to support the claim that there is significant difference between the exercise habits of Science majors and Math majors .

6. The 99% confidence interval for the difference between proportions is (-0.012, 0.335).

Step-by-step explanation:

We should perform a hypothesis test on the difference of proportions.

As we want to test if there is significant difference, the hypothesis are:

Null hypothesis: there is no significant difference between the proportions (p1-p2 = 0).

Alternative hypothesis: there is significant difference between the proportions (p1-p2 ≠ 0).

The sample 1 (science), of size n1=135 has a proportion of p1=0.607.

p_1=X_1/n_1=82/135=0.607

The sample 2 (math), of size n2=92 has a proportion of p2=0.446.

p_2=X_2/n_2=41/92=0.446

The difference between proportions is (p1-p2)=0.162.

p_d=p_1-p_2=0.607-0.446=0.162

The pooled proportion, needed to calculate the standard error, is:

p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{82+41}{135+92}=\dfrac{123}{227}=0.542

The estimated standard error of the difference between means is computed using the formula:

s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.542*0.458}{135}+\dfrac{0.542*0.458}{92}}\\\\\\s_{p1-p2}=\sqrt{0.001839+0.002698}=\sqrt{0.004537}=0.067

Then, we can calculate the z-statistic as:

z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.162-0}{0.067}=\dfrac{0.162}{0.067}=2.4014

This test is a two-tailed test, so the P-value for this test is calculated as (using a z-table):

\text{P-value}=2\cdot P(z>2.4014)=0.0171

As the P-value (0.0171) is bigger than the significance level (0.01), the effect is not significant.

The null hypothesis failed to be rejected.

At a signficance level of 0.01, there is not enough evidence to support the claim that there is significant difference between the exercise habits of Science majors and Math majors .

We want to calculate the bounds of a 99% confidence interval of the difference between proportions.

For a 99% CI, the critical value for z is z=2.576.

The margin of error is:

MOE=z \cdot s_{p1-p2}=2.576\cdot 0.067=0.1735

Then, the lower and upper bounds of the confidence interval are:

LL=(p_1-p_2)-z\cdot s_{p1-p2} = 0.162-0.1735=-0.012\\\\UL=(p_1-p_2)+z\cdot s_{p1-p2}= 0.162+0.1735=0.335

The 99% confidence interval for the difference between proportions is (-0.012, 0.335).

6 0
3 years ago
Write 18.4 as a fraction in lowest terms
Lapatulllka [165]

Answer:

Divide each side of 18/4 by 2 to get <u>9/2.</u>

5 0
3 years ago
Read 2 more answers
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