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3 years ago

Someone helpp me as soon as possible!

Mathematics

1 answer:

Tanya [424]3 years ago

6 0

The working is attached, I've used the law of indices that means when a power is raised to a power, the powers are multiplied.

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PLEASE PLEASE HELP IM ABOUT TO FAIL I REALLY NEED A GOOD ANSWER

pychu [463]

For part A, use the Pythagorean Theorem.

a.) Since we see that the triangle is made up of two right triangles, simply subtract half the leg from the length of the hypotenuse.

10/2 = 5

13² - 5² = 169 - 25 = √144 = 12 centimeters cubed for the height.

b.) For this, we need to find the surface area of the prism. The surface area of a triangular prism can be found using the formula:

Surface area (SA) = 10(12) + (10 + 13 + 13)(20)

=120 + 660 = 780 cm²

7 0

3 years ago

A recent national survey found that high school students watched an average (mean) of 7.2 movies per month with a population sta

Schach [20]

Answer:

1) A. H0: μ ≥ 7.2; H1: μ < 7.2

2) D. Reject H0 if z < –1.645

3) $t=\frac{6.2-7.2}{\frac{0.9}{\sqrt{35}}}=-6.573$

4) $p_v =P(z$

Step-by-step explanation:

Information provided

$\bar X=6.2$ represent the sample mean for the number of movies watched last month

$\sigma=0.9$ represent the population deviation

$n=35$ sample size selected

$\mu_o =7.2$ represent the value that we want to test

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

t would represent the statistic

$p_v$ represent the p value for the test

1) System of hypothesis

We want to check if college students watch fewer movies a month than high school students, and the best system of hypothesis are:

Null hypothesis: $\mu \geq 7.2$

Alternative hypothesis: $\mu < 7.2$

A. H0: μ ≥ 7.2; H1: μ < 7.2

2) Decision rule

For this case we are ocnduting a left tailed test so then we need to find a critical value in the normal standard distribution who accumulates 0.05 of the area in the left and we got:

$z_{crit}= -1.645$

And the rejection zone would be:

D. Reject H0 if z < –1.645

3) Statistic

Since we know the population deviation the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Replacing we got:

$t=\frac{6.2-7.2}{\frac{0.9}{\sqrt{35}}}=-6.573$

4) P value

We have a left tailed test then the p value would be:

$p_v =P(z$

3 0

3 years ago

A=1/2h(b1+b2) solve for b2. How on earth do I do this?

storchak [24]

To eliminate the fraction, multiply by 2 both sides of the equation. This gives,
2A = h x (b1 + b2)
Then, divide both the left hand and the right hand side of the equation by the variable h.
2A / h = b1 + b2
Next, subtract b1 from both sides,
(2A / h) - b1 = b2
Rearranging the equation,
b2 = (2A/h) - b1

8 0

3 years ago

Write the polynomial in standard form. <br> 5z + 2z^3 - z^2 + 3z^4

pochemuha

Answer:

the standard form of this equation will be 3z^4 + 2z^3 - z^2 + 5z

Step-by-step explanation:

as much as I would like to, I'm really not that good at explaining things

5 0

3 years ago

All the real square roots of 144.

Monica [59]

Answer:

So the set of all real square roots of -144 is the empty set. The imaginary square roots are i12 and -i12.

Step-by-step explanation:

hopefully that helps you

6 0

4 years ago

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