Write an equation for the line that is parallel to the given line and that passes through the given point. y=5/2x -10; (-6, -29)

A manufacturer of sprinkler systems designed for fire protection claims that the average activating temperature is at least 135°

nirvana33 [79]

Answer:

$z=\frac{133-135}{\frac{3.3}{\sqrt{32}}}=-3.428$

$p_v =P(z$

If we compare the p value and the significance level given for example $\alpha=0.1$ we see that $p_v$ so we can conclude that we reject the null hypothesis, and the true mean is significantly lower than 135 so the claim not makes sense

Step-by-step explanation:

Data given and notation

$\bar X=133$ represent the sample mean

$\sigma=3.3$ represent the standard deviation for the population

$n=32$ sample size

$\mu_o =135$ represent the value that we want to test

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

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to determine if the true mena is at least 135, the system of hypothesis would be:

Null hypothesis: $\mu \geq 135$

Alternative hypothesis: $\mu < 135$

We know the population deviation, so for this case is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

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

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

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

$z=\frac{133-135}{\frac{3.3}{\sqrt{32}}}=-3.428$

Calculate the P-value

Since is a one-side lower test the p value would be:

$p_v =P(z$

Conclusion

If we compare the p value and the significance level given for example $\alpha=0.1$ we see that $p_v$ so we can conclude that we reject the null hypothesis, and the true mean is significantly lower than 135 so the claim not makes sense

3 0

3 years ago

Simplify. Assume that no denominator is equal to zero. ([3^2]^3g^3h^4)^2

mariarad [96]

Answer:

531,441·g^6·h^8

Step-by-step explanation:

The operative rule of exponents is ...

(a^b)^c = a^(b·c)

Working from the inside out, according to the order of operations, we get ...

= (9^3·g^3·h^4)^2

= 729^2·g^(3·2)·h^(4·2)

= 531,441·g^6·h^8

7 0

3 years ago

It is about 350 miles from Ruidoso, New Mexico, to Abilene, Texas. Haruko has already driven 75 miles and made it to Roswell, Ne

kvv77 [185]

Answer:

55 miles per hour

Step-by-step explanation:

Given that:

Distance from Mexico to Texas 350 miles

Miles already traveled = 75 miles

Hence, miles left ;

(350 miles - 75 miles) = 275 miles

To complete 275 miles in 5 hours ;

Speed = distance / time

Speed = 275 / 5

Speed = 55 miles per hour

4 0

3 years ago

A trapezoid has an area of 329 square feet. If the bases are 30 feet and 17 feet, what is the height of the trapezoid in feet? F

ExtremeBDS [4]

Answer:

The correct option is C. 14 ft

Step-by-step explanation:

To calculate the height, we will follow the steps below;

Formula is given to be: h = 2A / b1 +b2

where h = height of the trapezoid b1 and b2 are the bases of the trapezoid and A is the area of the trapezoid

From the question given;

Area A =329 feet² b1 = 30 feet b2 =17 feet

We can now proceed to insert the values into the formula

h = 2A / b1 +b2

h= 2(329) / 30 + 17

h = 658 /47

h=14 feet

6 0

3 years ago

9.54

damaskus [11]

Answer:

9.5

Step-by-step explanation:

7 0

2 years ago