All categories

3 years ago

URGENT!!! Can someone help me with this? It’s volume of cones!!!

Mathematics

1 answer:

LiRa [457]3 years ago

8 0

Answer:

1232 m^3 to nearest whole number.

Step-by-step explanation:

The volume of a cone = 1/3 π r^2 h where r = radius of base and h = height.

The radius of the base = 1/2 * 14 = 7m.

The height can be found by using the Pythagoras theorem:

25^2 = h^2 + 7^2

h^2 = 625 - 49 = 576

h = √576 = 24m

So the volume = 1/3 π * 7^2 * 24

= 1231.504 m^3.

You might be interested in

Which best describes the relationship between the line that

LUCKY_DIMON [66]

Same line so the correct answer is b

5 0

3 years ago

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 436.0 gram setting. It

Vilka [71]

Answer:

We conclude that the machine is under filling the bags.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 436.0 gram

Sample mean, $\bar{x}$ = 429.0 grams

Sample size, n = 40

Alpha, α = 0.05

Population standard deviation, σ = 23.0 grams

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 436.0\text{ grams}\\H_A: \mu < 436.0\text{ grams}$

We use one-tailed(left) z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{429 - 436}{\frac{23}{\sqrt{40}} } = -1.92$

Now, $z_{critical} \text{ at 0.05 level of significance } = -1.64$

Since,

$z_{stat} < z_{critical}$

We reject the null hypothesis and accept the alternate hypothesis. Thus, we conclude that the machine is under filling the bags.

8 0

3 years ago

A sample of 5 strings of thread is randomly selected and the following thicknesses are measured in millimeters. Give a point est

xxTIMURxx [149]

Answer:

Point estimate for the population variance = 3.92 * $10^{-3}$ .

Step-by-step explanation:

We are given that a sample of 5 strings of thread is randomly selected and the following thicknesses are measured in millimeters ;

X X - $Xbar$ $(X-Xbar)^{2}$

1.13 1.13 - 1.188 = -0.058 3.364 * $10^{-3}$

1.15 1.15 - 1.188 = -0.038 1.444 * $10^{-3}$

1.24 1.24 - 1.188 = 0.052 2.704 * $10^{-3}$

1.27 1.27 - 1.188 = 0.082 6.724 * $10^{-3}$

$\sum (X-Xbar)^{2}$ = 0.01568

Firstly, Mean of above data, $Xbar$ = $\frac{\sum X}{n}$ = $\frac{1.15+1.24+1.15+1.27+1.13}{5}$ = 1.188

Point estimate of Population Variance = Sample variance

= $\frac{\sum (X-Xbar)^{2}}{n-1}$ = $\frac{0.01568}{4}$ = 3.92 * $10^{-3}$ .

Therefore, point estimate for the population variance = 3.92 * $10^{-3}$ .

5 0

3 years ago

Read 2 more answers

Lynn can type 60 words per minute. If she types for 30 minutes, how many words does she type in all?

Crazy boy [7]

Answer:1800 words

Step-by-step explanation:

Multiply how many words per minute she types by how many minutes she types. In this case 60x30=?. The easy way to do this is drop the 2 zeros and do 6x3=18. In the original equation we dropped the 2 zeros. Now we add them back on the back of the 18 and get 1800.

7 0

3 years ago

5. In an arithmetic sequence, the fifth term is 44 and the ninth term is 80.(a) Find the common difference. (b) Find the first t

natulia [17]

Step-by-step explanation:

first you should do is that find the common difference which is 9

6 0

1 year ago