X=1/4w(y+t) solve for y

The Department of Transportation would like to test the hypothesis that the average age of cars on the road is less than 12 year

puteri [66]

Answer:

$z=\frac{10.6-12}{\frac{4.1}{\sqrt{45}}}=-2.29$

Step-by-step explanation:

information given

$\bar X=10.6$ represent the sample mean

$\sigma=4.1$ represent the population standard deviation

$n=45$ sample size

$\mu_o =12$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

z would represent the statistic

$p_v$ represent the p value for the test

Hypothesis to test

We want to test if the true mean is less than 12, the system of hypothesis would be:

Null hypothesis: $\mu \geq 10$

Alternative hypothesis: $\mu < 10$

The statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

Replacing the info given we got:

We can replace in formula (1) the info given like this:

$z=\frac{10.6-12}{\frac{4.1}{\sqrt{45}}}=-2.29$

8 0

4 years ago

Sameera purchased 3 (1/2) kg of apples and 4 (3/4) kg of oranges. What is the total weight of fruits purchased by her ?

gogolik [260]

Answer:

8 1/4 kg

Step-by-step explanation:

Add the weight of the fruits together

3 1/2 + 4 3/4

Get a common denominator of 4

3 2/4 + 4 3/4

7 5/4

7 4/4 + 1/4

8 1/4 kg

3 0

3 years ago

A heated piece of metal cools according to the function c(x) = (.5)^x − 11, where x is measured in hours. A device is added that

Goryan [66]

Answer:

The temperature of metal after five years = -18.96875

Step-by-step explanation:

Given : Function $c(x) = (0.5)^x-11$

where x is measured in hours

Another function is added h(x)=-x-3

therefore, the resultant function f(x)=h(x)+c(x)

$f(x) = (0.5)^x-11-x-3$

For x=5

$f(5) = (0.5)^5-11-5-3$

$f(5) = (0.03125)-19$

$f(5) = -18.96875$

Therefore, The temperature of metal after five years = -18.96875

5 0

3 years ago

Read 2 more answers

How many solutions? No solution One Solution Infinitely Many Solutions

Temka [501]

Answer:

no solution

Step-by-step explanation:

solution would occur where the lines intersect; parallel lines will never intersect

8 0

3 years ago

Simplify. √50 OA. 10√5 OB. 2√5 OC. 5√2 OD. 25√2

Nezavi [6.7K]

Decomposition in factors of 50: 2 · 5².

$\mathrm{Apply\:the\:laws\:of\:exponents}:\quad \sqrt{ab}=\sqrt{a}\sqrt{b},\:\quad \:a\ge 0 ,\:b\ge 0$

$\sqrt{2\cdot \:5^2}=\sqrt{2}\sqrt{5^2}$

$\mathrm{Apply\:the\:laws\:of\:exponents}:\quad \sqrt{a^2}=a,\:\quad \:a\ge 0$

$\sqrt{5^2}=5$

$=\sqrt{2}\cdot \:5$

$\bf{=5\sqrt{2} \ === > \ Answer }$

Option C

↓

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8 0

2 years ago