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Pie
2 years ago
5

Estimate the value of the square root of 38 to the thousands place. (Show Work)

Mathematics
1 answer:
tamaranim1 [39]2 years ago
4 0
Ok so square root of 38.

First, you need to see what perfect square is closest to 38.
36 is closest to 38.
The square root of 36 is 6.
So you know that the square root of 38 starts with 6.

Answer is 6.1644

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The diameters of ball bearings are distributed normally. The mean diameter is 83 millimeters and the standard deviation is 3 mil
Alenkinab [10]

Answer:

0.2514 = 25.14% probability that the diameter of a selected bearing is greater than 85 millimeters.

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 question, we have that:

\mu = 83, \sigma = 3

Find the probability that the diameter of a selected bearing is greater than 85 millimeters.

This is 1 subtracted by the pvalue of Z when X = 85. Then

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

Z = \frac{85 - 83}{3}

Z = 0.67

Z = 0.67 has a pvalue of 0.7486.

1 - 0.7486 = 0.2514

0.2514 = 25.14% probability that the diameter of a selected bearing is greater than 85 millimeters.

7 0
3 years ago
What is 0.125 0.4 0.62 1.05 0.05 from least to greatest
aksik [14]

0.05

0.125

0.4

0.62

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7 0
3 years ago
Write the prime factorization of 500 in index form.
makvit [3.9K]

Answer:

2^{2} × 5^{3}

Step-by-step explanation:

500

= 2 x 250

= 2 x 10 x 25

= 2 x 2 x 5 x 5 x 5

= 2^{2} × 5^{3}

8 0
3 years ago
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ALGEBRA 94 POINTS
Naily [24]

Answer:

Option 1

Step-by-step explanation:

-5/8, -1⅔, 0.8, ½

-5/8 = -0.625

-1⅔ is approximately -1.67

0.8

½ = 0.5

-1.67, -0.625, 0.5, 0.8

-1⅔, -⅝, ½, 0.8

8 0
3 years ago
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A carton has a length of 1 2/3 feet, width of 1 1/6 feet, and height of 1 1/5 feet. What is the volume of the carton?
kvv77 [185]

Answer:

Step-by-step explanation:

Volume= (length)(width)(height)

step 1: make sure all the measurements have the same unit (ft)

step 2: convert mixed fractions to improper fractions

1 2/3= 5/3         1 1/6= 7/6        1 1/5 = 6/5

multiply the length by width and height

(5/3)(7/6)(6/5)

=7/3 ft^3

4 0
3 years ago
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