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dedylja [7]
3 years ago
10

I need help with this

Mathematics
1 answer:
Georgia [21]3 years ago
4 0

Answer:

The volume of hemi-sphere is calculated by:

V = (4/6) x pi x radius^3 = (4/6) x pi x 7^3 = 718.38

Hope this helps!

:)

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On average, it takes a shoe factory 21 minutes, with a standard deviation of 3 minutes, to manufacture a pair of running shoes.
algol13

Answer:

The number of times it would take more than 27 minutes to manufacture a pair of running shoes is 2.275 times or approximately 2 times per every 100 shoes

Step-by-step explanation:

The average time it takes to manufacture a pair of shoes = 21 minutes;

The standard deviation = 3 minutes

To find how often it takes more than 27 minutes to manufacture a pair of running shoes, we have;

Standard score, given as follows;

Z=\dfrac{x-\mu }{\sigma }

Where;

x = The raw score = 27 minutes

μ = The average score = 21 minutes

σ = The standard deviation = 3 minutes

From which we have;

Z=\dfrac{27-21 }{3 } = 2

Therefore, it is borderline unusual with a p value of P(z>2) = 1 - 0.97725 = 0.02275

Therefore, the number of times out of 100 that it would take more than 27 minutes to manufacture a pair of running shoes = 100 × 0.02275 = 2.275 times which is approximately 2 times in every 100 shoes.

7 0
3 years ago
Show that the triangles are similar by comparing the ratios of the corresponding sides. Simplify your answer completely in order
kirill [66]

Answer/Step-by-step explanation:

AC = 1.2

AB = 4

BC = 2.6

DF = 3

DE = 10

EF = 6.5

Thus:

\frac{DE}{AB} = \frac{10}{4} = \frac{5}{2}

\frac{DF}{AC} = \frac{3}{1.2} = \frac{3*10}{1.2*10} = \frac{30}{12} = \frac{5}{2}

\frac{EF}{BC} = \frac{6.5}{2.6} = \frac{6.5*10}{2.6*10} = \frac{65}{26} = \frac{5}{2}

The ratio of their corresponding sides are all equal to ⁵/2. Therefore, both triangles are similar.

4 0
3 years ago
A marble is selected at random from a jar containing 6 red marbles, 5 yellow marbles, and 4 green marbles. What is the probabili
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Answer:

c) the marble is either red or green?

Step-by-step explanation:

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Answer:

9

the triangle is isosceles due to base angles being congeuent

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Answer: 2, -20/3

Step-by-step explanation:

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