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Pavlova-9 [17]
3 years ago
14

A new car is purchased for $42,000 and over time its value depreciates by one half

Mathematics
1 answer:
MaRussiya [10]3 years ago
3 0

Answer:

t=20

Step-by-step explanation:

delta math blessed.

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Hank is taking a walking tour of a park. The route he takes is shown on the map above. How far is the fountain from the entrance
GuDViN [60]
Uhhhhhhhhhh, but can we get the picture?

5 0
3 years ago
5 8/25 as a decimal show work
bekas [8.4K]

Answer:

Split the number into the whole number component and fraction component.

5 8/25= 5+8/25.

For the denominator, recognize that

25×4=100.

Multiple =4.

Multiply the numerator and the denominator by the multiple 4.

8×4/ 25×4.

Simplify.

32/100=0.32

Combine the whole number component with the decimal.

5+0.32=5.32

<h3>I hope this helps</h3>

3 0
3 years ago
Starting in the 1970s, medical technology allowed babies with very low birth weight (VLBW, less than 1500 grams, about 3.3 pound
cluponka [151]

Answer:

The test statistic value using the VLBW babies as group 1 is z=-2.76±0.01 and the P-value for the test (±0.0001) is 0.0030.

Step-by-step explanation:

This is a hypothesis test for the difference between proportions.

The claim is that the proportion of persons with normal birth weight that graduates from high school is significantly greater than the proportion of persons with very low birth weight that graduates from high school.

Then, the null and alternative hypothesis are:

H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2> 0

The significance level is 0.05.

The sample 1 (VLBW group), of size n1=244 has a proportion of p1=0.77049.

p_1=X_1/n_1=188/244=0.77049

The sample 2 (control group), of size n2=247 has a proportion of p2=0.79757.

p_2=X_2/n_2=197/247=0.79757

The difference between proportions is (p1-p2)=-0.02708.

p_d=p_1-p_2=0.77049-0.79757=-0.02708

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

p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{188+197}{244+247}=\dfrac{385}{491}=0.988

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{0.988*0.012}{244}+\dfrac{0.988*0.012}{247}}\\\\\\s_{p1-p2}=\sqrt{0.00005+0.00005}=\sqrt{0.0001}=0.0098

Then, we can calculate the z-statistic as:

z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{-0.02708-0}{0.0098}=\dfrac{-0.02708}{0.0098}=-2.76

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

P-value=P(t

As the P-value (0.0030) is smaller than the significance level (0.05), the effect issignificant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the proportion of persons with normal birth weight that graduates from high school is significantly greater than the proportion of persons with very low birth weight that graduates from high school.

3 0
3 years ago
Salaries of 49 college graduates who took a statistics course in college have a​ mean, x overbar​, of $ 65 comma 300. Assuming a
Molodets [167]

Answer: 60,540< \mu

Step-by-step explanation:

The confidence interval for population mean is given by :-

\overline{x}-z^*\dfrac{\sigma}{\sqrt{n}}< \mu

, where \sigma = Population standard deviation.

n= sample size

\overline{x} = Sample mean

z* = Critical z-value .

Given :  \sigma=\$17,000

n= 49

\overline{x}= \$65,300

Two-tailed critical value for 95% confidence interval = z^*=1.960

Then, the 95% confidence interval would be :-

65,300-(1.96)\dfrac{17000}{\sqrt{49}}< \mu

=65,300-(1.96)\dfrac{17000}{7}< \mu

=65,300-4760< \mu

=60,540< \mu

Hence, the 95​% confidence interval for estimating the population mean (\mu) :

60,540< \mu

7 0
2 years ago
2 consecutive even numbers add to equal 178. What is the smallest of the 2 numbers?
Diano4ka-milaya [45]

Answer:

The smallest number is 88

Step-by-step explanation:

Let

x ----> the first consecutive even number

x+2 --->the second consecutive even number

we know that

The linear equation that represent this problem is given by

x+(x+2)=178

solve for x

2x=178-2\\2x=176\\x=88

so

x=88\\x+2=88+2=90

therefore

The smallest number is 88

4 0
3 years ago
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