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lakkis [162]
3 years ago
14

Please answer this question now

Mathematics
1 answer:
shusha [124]3 years ago
4 0

Hi there! :)

Answer:

\huge\boxed{V = 359.01 mm^{3} }

Use the formula V = 1/3(bh) to solve for the volume of the cone where b = πr² where π ≈ 3.14:

Find the area of the base:

b = π(7)²

b = 49π

b = 153.86 mm²

Find the volume:

V = 1/3(153.86 · 7)

V = 1/3(1077.02)

V = 359.006 ≈ 359.01 mm³.

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A factory that manufactures bolts is performing a quality control experiment. Each object should have a length of no more than 1
xeze [42]

The test statistic z  is 2.33, the p-value corresponding to the test statistic z value is 0.0099.

<h3>What is Probability?</h3>

Probability is the measure of the likeliness of happening of an event.

The mean of the data is 15.07 centimeters

The standard deviation of the data is 0.26 centimeters.

n = 75

Significance Level ∝ = 0.01

According to the null and alternative hypothesis

Hₐ : \rm \mu ≤15  vs H₁ : \rm \mu >15

The test statistic z  is given by

\rm Z = \dfrac{(X-\mu)}{\sigma/\sqrt{n}}

Z = ( 15.07 -15)/(0.26/√75)

Z = 2.33

The p-value corresponding to z value is 0.0099

as p-value < significance level, therefore the H₁ : \rm \mu >15 is acceptable.

No, significant evidence is not present to tell that the length of bolts is actually greater than the mean value at a significance level of 0.01.

To know more about Probability

brainly.com/question/11234923

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3 0
1 year ago
Identify the relationship
HACTEHA [7]

Answer:

1st option (Vertical).......

6 0
2 years ago
King Kong stands on the edge of the roof of a 62 foot high building. You poke your head out of a manhole and measure the angles
Oliga [24]

Answer:

46.55 feet (approx).

4.48 feet ( approx )

Step-by-step explanation:

Let x be distance manhole from the building. ( in feet ) and y be the height of the King Kong.

∵ The angles of elevation to the top of King Kong's head and to his feet are 55 degrees and 53.1 degrees respectively.

By the trigonometric ratio,

\tan 53.1^{\circ}=\frac{62}{y}

\implies y =\frac{62}{\tan 53.1^{\circ}}\approx 46.55

Thus, the distance of the manhole from the building would be 46.55 feet (approx).

Again by the trigonometric ratio,

\tan 55^{\circ}=\frac{62+x}{46.55}

\tan 55^{\circ}\times 46.55=62 + x

66.48 = 62 + x

\implies x = 66.48 - 62 = 4.48

Hence, King Kong is approximately 4.48 feet long.

7 0
3 years ago
A science experiment calls for millilitres of a 25% sulfuric acid solution what percentage of the solution is not sulfuric acid
iVinArrow [24]

Answer: Im first

Step-by-step explanation:

5 0
2 years ago
20 POINT QUESTION
MissTica

8x + 7y =89

2x + 5y=45

You want to be able to subtract one away from the other one so you are just left with either x or y. to do this we could multiply the bottom equation by 4

so you would get

8x+7y=89

8x + 20y= 180

Now we can subtract equation 1 from equation 2 so you get

13y=91

this gives you y=7 so to find x we can simply substitute y into an equation;

2x + 5x7=45

2x + 35= 45

2x = 10

x =5

so the final answer is y = 7/ x = 5

5 0
2 years ago
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