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sp2606 [1]
2 years ago
15

The coordinates of QRS are Q(4, 3), R(7,3), and S(6,8). If you translate QRS 4 units to the left and 3 units up, what are the co

ordinates of S'? (___,___)
Mathematics
1 answer:
Liono4ka [1.6K]2 years ago
4 0
The answer is S’ (6, 11)
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The lengths of nails produced in a factory are normally distributed with a mean of 4.84 centimeters and a standard deviation of
Helga [31]

Answer:

Top 3%: 4.934 cm

Bottom 3%: 4.746 cm

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 = 4.84, \sigma = 0.05

Top 3%

Value of Z when Z has a pvalue of 1 - 0.03 = 0.97. So X when Z = 1.88.

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

1.88 = \frac{X - 4.84}{0.05}

X - 4.84 = 0.05*1.88

X = 4.934

Bottom 3%

Value of Z when Z has a pvalue of 0.03. So X when Z = -1.88.

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

-1.88 = \frac{X - 4.84}{0.05}

X - 4.84 = 0.05*(-1.88)

X = 4.746

8 0
3 years ago
What is the volume of the sphere?
Eddi Din [679]
V = 4/3 * pi * r^3
V= 4/3 3.14 * 3^3
V = 4/3 *3.14 * 27
27 * 3.14 = 84.78
V = 4/3 * 84.78 = <span>113.04
V = </span><span>113.04
hope this helps</span>
7 0
3 years ago
Read 2 more answers
As an estimation we are told 5 miles is 8 km. <br> Convert 24 km to miles.
Oksi-84 [34.3K]

Answer:

15

Step-by-step explanation:

24*5=120 / 8 = 15

15 is answer.

3 0
3 years ago
The product of a number y and 3 is 6.<br> Write the word sentence as an equation
Romashka [77]
3y = 6

Product means multiply so 3 multiplied by y is 3y which is equal to 6. :)
4 0
2 years ago
Which of the following best shows two elements combining to form a compound!? Explain...
ioda

Answer:

C because elements are form by atoms and when we study about atom we draw atom like circle

so, that's why I think C is correct

 

Step-by-step explanation:

5 0
2 years ago
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