Hiiiooo!! Can someone please help me with this ❤️:D

Brut [27]

The ratio of the volume of Cone A to the volume of Cone is 64 : 1. The correct answer between all the choices given is the first choice. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

5 0

3 years ago

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The table below shows the probability distribution of the types of food purchased by students from the school cafeteria. What is

Semmy [17]

Probability always sums up to 1
P(pizza) + P(cheeseburger) + P( chicken sandwich) + P(caesar salad) + P(macaroni and cheese) = 1

let P(caesar salad) be x

0.2 + 0.45 + 0.06 + x + 0.12 = 1
x= 0.17

8 0

4 years ago

Hunter is riding his bike to the library which is 3 kilometers away and how many meters away is the library

Ainat [17]

It would be 3,000 meters away considering there are exactly 1,000 meters in 1 kilometer so 1,000 × 3 =3,000

4 0

4 years ago

An automobile manufacturer claims that its car has a 33.7 miles/gallon (MPG) rating. An independent testing firm has been contra

Gnoma [55]

Answer:

$z=\frac{34-33.7}{\frac{1.6}{\sqrt{120}}}=2.05$

And the p value would be given by:

$p_v= 2*P(z>2.05) = 0.0404$

And since the p value is higher than the significance level we have enough evidence to fail to reject the null hypothesis.

Step-by-step explanation:

Data given and notation

$\bar X=34$ represent the sample mean

$\sigma=\sqrt{2.56}= 1.6$ represent the population standard deviation

$n=120$ sample size

$\mu_o =33.7$ represent the value that we want to test

$\alpha=0.02$ 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)

System of hypotheses.

We need to conduct a hypothesis in order to check if the true mean is 33.7 mpg or no, the system of hypothesis would be:

Null hypothesis: $\mu =33.7$

Alternative hypothesis: $\mu \neq 33.7$

Since we know the population deviation, 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)

Calculate the statistic

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

$z=\frac{34-33.7}{\frac{1.6}{\sqrt{120}}}=2.05$

And the p value would be given by:

$p_v= 2*P(z>2.05) = 0.0404$

And since the p value is higher than the significance level we have enough evidence to fail to reject the null hypothesis.

6 0

3 years ago

Please someone help me...

Savatey [412]

use $a^2-b^2=(a+b)(a-b)$

to get $(\cos^3A-\sin^3A)(\cos^3A+\sin^3A)$

then use $a^3+b^3=(a+b)(a^2+b^2-ab)$

and $a^3-b^3=(a-b)(a^2+b^2+ab)$

also, $\sin^2\theta+\cos^2\theta=1$

to get $(\cos A-\sin A)(1+\sin A\cos A)(\cos A+ \sin A)(1-\sin A\cos A)$

then again use the first identity In both pairs, i.e.

$(\cos A-\sin A)(\cos A+ \sin A) \cdot (1+\sin A\cos A)(1-\sin A\cos A)$

to get $\cos 2A (1-\sin^2A\cos^2A)$

multiply and divide by 4 to get the RHS.

because, $\sin(2A)= 2\sin A \cos A$

squaring both sides, $\sin^2 (2A)=4\sin^2A\cos^2A$

3 0

3 years ago

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