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4 years ago

6

To estimate your average monthly salary, divide your salary by the number of months in a year. Write and solve an equation to de

termine your yearly salary when your average monthly salary is 4560 dollars

1 answer:

Ivahew [28]4 years ago

6 0

Answer:

yearly salary is $55,800

Step-by-step explanation:

$4,560 x 12= 55,800

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PLS HELP THX PLS jrkdkekmc

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Answer: No

Step-by-step explanation:

The c kind of cut off, but you can use slopes to figure it out. The rule for a perpendicular slope is the opposite reciprocal. Assuming that C is the right angle, since right triangles typically work that way, we can figure out the slopes for ac and bc. The slopes are not reciprocals:

AC= -5/2

BC= -1/3

This isn't a right triangle because the lines are not perpendicular.

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3 years ago

Paid wages Rs.6000 and still outstanding Rs.4000

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3 years ago

Ms.Willer wanted to donate 27 cans of food to each of 8 food banks.Each of the 23 students donated 9 cans. How many more cans do

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4 years ago

The diameters of a batch of ball bearings are known to follow a normal distribution with a mean 4.0 in and a standard deviation

8_murik_8 [283]

Answer:

a) 88.54% probability of a diameter between 3.8 in and 4.3 in

b) 25.14% probability of a diameter smaller than 3.9in

c) 90.82% probability of a diameter larger than 4.2 in

Step-by-step explanation:

Problems of normally distributed samples can be 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:

$\mu = 4, \sigma = 0.15$

(a) a diameter between 3.8 in and 4.3 in,

This is the pvalue of Z when X = 4.3 subtracted by the pvalue of Z when X = 3.8.

X = 4.3

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

$Z = \frac{4.3 - 4}{0.15}$

$Z = 2$

$Z = 2$ has a pvalue of 0.9772

X = 3.8

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

$Z = \frac{3.8 - 4}{0.15}$

$Z = -1.33$

$Z = -1.33$ has a pvalue of 0.0918

0.9772 - 0.0918 = 0.8854

88.54% probability of a diameter between 3.8 in and 4.3 in

(b) a diameter smaller than 3 9 in,

This is the pvalue of Z when X = 3.9. So

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

$Z = \frac{3.9 - 4}{0.15}$

$Z = -0.67$

$Z = -0.67$ has a pvalue of 0.2514

25.14% probability of a diameter smaller than 3.9in

(c) a diameter larger than 4.2 in

This is 1 subtracted by the pvalue of Z when X = 4.2. So

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

$Z = \frac{4.2 - 4}{0.15}$

$Z = 1.33$

$Z = 1.33$ has a pvalue of 0.9082

90.82% probability of a diameter larger than 4.2 in

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3 years ago