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2 years ago

a factory packaged coconut water in cone - shaped containers with a base radius of 5.2cm and a height of 13 cm

Mathematics

1 answer:

Kaylis [27]2 years ago

4 0

Answer:

The volume of the cone shape container is 367.924 cm³ .

Step-by-step explanation:

Given as :

The radius of the base = 5.2 cm

The height of cone shaped container = 13 cm

Let The volume of the cone = V

So, Volume of cone = $\frac{1}{3}$ × $\pi$ ×r²×h

where r is the radius of the base

and h is the height of the cone

So, V = $\frac{1}{3}$ × $\pi$ ×(5.2)²×13 cm³

Or, V = $\frac{1}{3}$ × 3.14 × 5.2 × 5.2 × 13 cm³

Or, V = $\frac{1}{3}$ × 1103.7728 cm³

∴ V = $\frac{1103.7728}{3}$ cm³

I.e V = 367.924 cm³

Hence The volume of the cone shape container is 367.924 cm³ . Answer

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Answer:

4/9

Step-by-step explanation:

The scale factor for the linear dimensions of the ball bearings will be the cube root of the volume scale factor:

k = ∛(1.6/5.4) = 2/3

Then the scale factor for the areas will be the square of this scale factor:

ratio of surface area = (2/3)² = 4/9

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The area is the product of two linear dimensions, so its scale factor is the product of the linear dimension scale factors. That is, the scale factor for area is the square of the linear dimension scale factor.

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2 years ago

Jack is driving from his house to the airport. At 9:00 AM, he is 150 miles from the airport. At 10:30 AM, he is 75 miles from th

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Answer:

I b3live it is 50 miles/hour

Step-by-step explanation:

We need to know how many miles he drove from 9:00 to 10:30 so you do 150-75 which is 75. Then, you do 75÷1.5 because 9:00 and 10:30 are an hour and a half apart and then you get 50 mph.

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2 years ago

You need to write an essay that has at least 500 words you have written 285 words so far right and solve an inequality that Reec

andrezito [222]

Answer:

The minimum number of words left to write is 215

Step-by-step explanation:

Let

w -----> the number of words left to write

we know that

The number of words left to write plus the words written so far must be greater than or equal to 500 words

Remember that the word "at least" means "greater than or equal to"

$w+285\geq 500$

Solve for w

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$w\geq 500-285\\w\geq 215$

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2 years ago

Train A traveled 173 miles in five hours. For Train B, y = 31.35x represents its rate of speed over the same five hours. Which t

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2 years ago

Read 2 more answers

We're testing the hypothesis that the average boy walks at 18 months of age (H0: p = 18). We assume that the ages at which boys

marusya05 [52]

Answer:

II. This finding is significant for a two-tailed test at .01.

III. This finding is significant for a one-tailed test at .01.

d. II and III only

Step-by-step explanation:

1) Data given and notation

$\bar X=19.2$ represent the battery life sample mean

$\sigma=2.5$ represent the population standard deviation

$n=25$ sample size

$\mu_o =18$ represent the value that we want to test

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

t would represent the statistic (variable of interest)

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

2) State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean battery life is equal to 18 or not for parta I and II:

Null hypothesis: $\mu = 18$

Alternative hypothesis: $\mu \neq 18$

And for part III we have a one tailed test with the following hypothesis:

Null hypothesis: $\mu \leq 18$

Alternative hypothesis: $\mu > 18$

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)

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".

3) Calculate the statistic

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

$z=\frac{19.2-18}{\frac{2.5}{\sqrt{25}}}=2.4$