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denis-greek [22]
3 years ago
13

The formula for the perimeter of a rectangle is . What is the length of the unknown side of the rectangle below, if the perimete

r is 28 inches?
Mathematics
1 answer:
Troyanec [42]3 years ago
7 0

Answer:

Step-by-step explanation:

P=2l+2w

28=2l+2w

2l=2w-28

l = (2w-28)/2

l =2(w-14)/2

l = w-14

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Suppose the lifetime of a cell phone battery is normally distributed with a mean of 36 months and a standard deviation of 2 mont
solong [7]

Answer:

They should guarantee the lifetime of their batteries for 32 months.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 36 months and a standard deviation of 2 months.

This means that \mu = 36, \sigma = 2

If the company wants to replace no more than 2% of all batteries, for how many months should they guarantee the lifetime of their batteries?

The guarantee should be the 2th percentile of lengths, which is X when Z has a pvalue of 0.02. So X when Z = -2.054.

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

-2.054 = \frac{X - 36}{2}

X - 36 = -2.054*2

X = 31.89

Rounding to the closest month, 32.

They should guarantee the lifetime of their batteries for 32 months.

3 0
2 years ago
Angle 1 is vertical to Angle 2. Angle 1 =94, Angle 2 = 2(x-13), Find the value of x.
rodikova [14]

Answer:

x= 56

Step-by-step explanation:

86+94= 180 which if supplementary angles have to equal 180°

I don't know if you can tell but what's in red means distribute

then I added 26 on both sides with like terms

on the left side 86+26=112 and right side is left with 2x

then divide both sides by 2 to leave x by itself

112/2= 56 and 2x/2=x

so 56=x

4 0
3 years ago
What is 9k + 1 = ─9 + 7k solved for the variable???
m_a_m_a [10]

Answer:

k = -5

Step-by-step explanation:

The variable is k

9k + 1 = -9 + 7k

-7k        -1

2k = -10

2k/2  -10/2

k = -5

:)

4 0
3 years ago
9. Choose the correct answer.
denpristay [2]

Answer:

what the h3ll type of question is this ?-

Step-by-step explanation:

your never gonna get one because you dont have any so the probability is 0%.

6 0
3 years ago
Lexi needs 144 beads. A large box holds 100 beads. A medium box holds 10 beads. A small box holds 1 bead. Lexi already had 1 lar
ohaa [14]
She has 144-100=44.  44-4=40.  Medium holds to beads you will need 4 medium boxes.
7 0
3 years ago
Read 2 more answers
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