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Elena-2011 [213]
2 years ago
7

Use the formula you just learned to help you complete the following. A circle’s diameter is approximately 14 cm.

Mathematics
1 answer:
damaskus [11]2 years ago
3 0

Answer:

A= 7

B= 154

Step-by-step explanation:

A: the radius is half of the diameter

B: pie*radius to the second power

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A large manufacturing plant uses lightbulbs with lifetimes that are normally distributed with a mean of 1200 hours and a standar
a_sh-v [17]

Answer:

The bulbs should be replaced each 1060.5 days.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 1200, \sigma = 60

How often should the bulbs be replaced so that no more than 1% burn out between replacement periods?

This is the first percentile, that is, the value of X when Z has a pvalue of 0.01. So X when Z = -2.325.

Z = \frac{X - \mu}{\sigma}

-2.325 = \frac{X - 1200}{60}

X - 1200 = -2.325*60

X = 1060.5

The bulbs should be replaced each 1060.5 days.

4 0
3 years ago
A group of 12 students goes on a school field trip, 6 are in third grade. which fraction is equivalent to 6 12
Elis [28]

The fraction which is equivalent to 6/12 is 1/2

What does a fraction mean?

In the first place, fraction is a numerical quantity or relationship where one number is expressed in terms of another.

In order to determine the equivalence of 6/12 in fraction , we need reduce 6/12 to the lowest term, since 6 is common to 6 and 12 and that 6 divided by gives 1 and 12/6 gives 2, which means that we are left 1/2

The correct fraction which is equivalent to 6/12 is 1/2

Find out more about fraction on:brainly.com/question/5243429

#SPJ1

Full question:

A group of 12 students goes on a school field trip, 6 are in third grade. which fraction is equivalent to 6/12?

(A) 1/3

(B)1/4

(C) 1/6

(D) 1/2

5 0
2 years ago
You are hiring a limousine. One company charges a $60 reservation fee plus another $15 per hour. A second company charges a $25
anzhelika [568]

Answer:

7 hours

Step-by-step explanation:

Step one:

given data

let the total charges be y and the number of hours be x

Company A charges

$60 reservation fee plus another $15 per hour.

so

y=60+15x----------1

Company B charges

$25 reservation fee plus another $20 per hour

y=25+20x------------2

Step two:

equate the 2 expressions above we have

60+15x=25+20x

collect like terms

60-25=20x-15x

35=5x

divide both sides by 5

x= 35/5

x= 7 hours

5 0
2 years ago
Tyler was shoving an equation and his last line of work read -12=12. What does this mean
wolverine [178]

Answer:

Step-by-step explanation:

-12 = 12 ....this is incorrect...meaning no solutions

**

if it ended in :

x = a number, or y = a number...means there is 1 solution

if it ended in :

-12 = 12....incorrect answer, means there is no solutions

if it ended in :

2 = 2 or -4 = -4....correct answer, but not variable...means infinite solutions

6 0
3 years ago
Read 2 more answers
What is the midpoint of the segment shown below?
kolbaska11 [484]

The midpoint of the segment is (-15/2, -15/2)

<h3>How to determine the midpoint?</h3>

The complete question is in the attached image

The points are given as:

(-8, -7) and (-7, -8)

The midpoint is calculated as:

(x,y) = 1/2 * (x1 + x2, y1 + y2)

So, we have:

(x,y) = 1/2 * (-8 - 7, -7 - 8)

Evaluate the difference

(x,y) = 1/2 * (-15, -15)

Evaluate the product

(x,y) = (-15/2, -15/2)

Hence, the midpoint of the segment is (-15/2, -15/2)

Read more about midpoints at:

brainly.com/question/4747771

#SPJ1

8 0
2 years ago
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