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Answer:

0.0668 = 6.68% of ball bearings has a diameter more than 5.03 mm

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

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

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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.

Manufacturing Ball bearings are manufactured with a mean diameter of 5 millimeters (mm).

This means that [tex]\mu = 5[/tex]

With a standard deviation of 0.02 mm.

This means that [tex]\sigma = 0.02[/tex]

(a) What proportion of ball bearings has a diameter more than 5.03 mm

This is 1 subtracted by the pvalue of Z when X = 5.03. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{5.03 - 5}{0.02}[/tex]

[tex]Z = 1.5[/tex]

[tex]Z = 1.5[/tex] has a pvalue of 0.9332

1 - 0.9332 = 0.0668

0.0668 = 6.68% of ball bearings has a diameter more than 5.03 mm

Answer:

41.5 units

Step-by-step explanation:

Given the data :

Month : J F M A M J J A S O N D

Inflow : 3 4 5 3 4 10 28 17 7 6 3 2

Outflow : 7 8 7 11 6 8 21 12 5 4 5 9

The unit of water in reservoir at the middle of August :

Initial unit = Unit of water at the start of the year = 50

Middle of August :

Inflow = 17 /2 = 8.5

Outflow = 12 /2 = 6

Unit of water at the middle of August :

Initial unit + Inflow - Outflow

Inflow till mid-August = (3+4+5+3+4+10+28+8.5) = 65.5

Outflow till mid-August = (7+8+7+11+6+8+21+6) = 74

50 + 65.5 - 74 = 41.5

Answer:

x=20

Step-by-step explanation:

hope this helps

Answer:

X=20

Step-by-step explanation:

enjoy! (Hope u got it right)

Answer:

Step-by-step explanation:

x=[tex]\sqrt{12^{2} +16^{2} }[/tex]

x=20

Answer:

5/6

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals of each other.

-6/5

6/5

5/6,,

Answer:

meg spen $18 and betting spent $90

Step-by-step explanation:

Answer:

0.0625 = 6.25% probability that the first card drawn is a diamond and the second card is a club

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Probability of independent events:

The probability of independent events happening at the same time is the multiplication of the probabilities of each events.

First card:

A standard deck has 52 cards, of which 13 are diamonds. So

[tex]P(A) = \frac{13}{52} = \frac{1}{4}[/tex]

Second card:

The first card is replaced, so still 52 cards, of which 13 are clubs. So

[tex]P(B) = \frac{13}{52} = \frac{1}{4}[/tex]

What is the probability that the first card drawn is a diamond and the second card is a club?

Each drawing is independent, so

[tex]P(A \cap B) = P(A)*P(B) = \frac{1}{4}*\frac{1}{4} = \frac{1}{16} = 0.0625[/tex]

0.0625 = 6.25% probability that the first card drawn is a diamond and the second card is a club

Answer:

0.0625 = 6.25% probability that the first card drawn is a diamond and the second card is a club

Step-by-step explanation:

Step-by-step explanation:

13.6z - 11 = -1.48.

13.6z=-1.48+11

z=9.52/13.6=0.7

Answer:

$8.75

Step-by-step explanation:

1.25 times 7 equals 8.75 so it is reduced by 8.75

hope this sheet helps :)

Answer:

It would bounce at 78 centimeters height

Step-by-step explanation:

The value of (f + g)(5) is 65

Function relates input to output . Therefore,

g(x) = w² + 7w - 7

f(x) = 4w - 8

Therefore,

(f + g) = w² + 7w - 7 + (4w - 8)

(f + g) = w² + 7w - 7 + 4w - 8

(f + g) = w² + 11w - 15

Finally,

(f + g)(5) = 5² + 11(5) - 15

(f + g)(5) = 25 + 55 - 15

(f + g)(5) = 80 - 15

(f + g)(5) = 65

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Answer:

18[tex]\sqrt{3}[/tex]

Step-by-step explanation:

The hypotenuse of the 45-45-90 triangle is [tex]\sqrt{2}(9\sqrt{2} ) = 18[/tex]

The hypotenuse of the 45-45-90 triangle is also the shorter leg of the

30-60-90 triangle

The longer leg = x = shorter leg times [tex]\sqrt{3\\}[/tex] = 18[tex]\sqrt{3\\}[/tex]

Answer:

Step-by-step explanation:

The "product of 4 and 5" is (4)(5).                                  12

The quotient of 12 and the product of 4 and 5 is   ------------

                                                                                         (4)(5)

The numerical expression for the given phrase is 12/(4×5).

In arithmetic, a quotient is a quantity produced by the division of two numbers. The quotient has widespread use throughout mathematics, and is commonly referred to as the integer part of a division, or as a fraction or a ratio.

The given phrase is the quotient of 12 and the product of 4 and 5.

Now, 12/(4×5)

= 12/20

= 3/5

= 0.6

Therefore, the numerical expression is 12/(4×5).

Learn more about the quotient here:

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Answer:

D is correct

Step-by-step explanation:

1/12^3

Answer:

Step-by-step explanation:

3x and 3y are not "like terms," despite having the same coefficient.

Like terms have the same variable. For example, 3x and 2x are like terms, so

3x+2x = 5x

Answer:

The answer is 12.044*10^23 molecules of H2O

Answer:

R = 1.2%

Step-by-step explanation:

Given the following data;

Principal = 425

Time = 2

Simple interest = 10.20

To find the annual interest rate;

Mathematically, simple interest is calculated using this formula;

[tex] S.I = \frac {PRT}{100} [/tex]

Where;

Substituting into the equation, we have;

[tex] 10.20 = \frac {425*R*2}{100} [/tex]

[tex] 10.20 = \frac {850R}{100} [/tex]

Cross-multiplying, we have;

[tex] 1020 = 850R [/tex]

[tex] R = \frac {1020}{850} [/tex]

R = 1.2%

Therefore, the annual interest rate is 1.2 percent.

Answer:

The area is 6[tex]\sqrt{45}[/tex]

Step-by-step explanation:

Using the Pythagorean Theorem, you'll get that half the base is [tex]\sqrt{45}[/tex], so the entire base is [tex]2\sqrt{45}[/tex]. Multiply that by the height and divide by two, you'll get that the area of this triangle is 6

Answer:

4

3/.75=4

divide 3 by point seven five

Answer:

For the 1st one the answer is 2/3 x 1/2 = 0.333 repeating and the 2nd one is 3/5 x 1/3 = 0.2

Step-by-step explanation:

The amount of boxes in total is the denominator and the amount of boxes shaded is the numerator, so if you put those to together it creates a fraction. So multiply the first fraction and the second fraction and you get your answer.

Answer:

the supplement of 89° is the angle that when added to 89° forms a straight angle (180° )

Step-by-step explanation:

hope this helps have a good rest of your night/day :) ❤

Answer:

-8 and 5

Step-by-step explanation:

-8 × 5 = -40

-8 + 5 = -3

Answer:

21.8cm is the required answer

Step-by-step explanation:

The measurement of the third side of the triangle is 22 cm

The law of sine or the sine law states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.

Given is a triangle with angles 75° and 31.8° also two of its sides are 12 and 22 we need to find the third side of the triangle,

Finding angle A

180°-(75°+31.8°) = 73.2°

Now, using the sine law,

Sin 73.2° / a = Sin 75° / 22

a = 21.80

a ≈ 22

Hence, the measurement of the third side of the triangle is 22 cm

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Answer:

b

Step-by-step explanation:

it's b and mark me brainlist plaese

Answer:a and b

Step-by-step explanation:an acute angle in small, an acute angle will always be smaller then C

Answer:

C. 2 years at 6.5 percent

Step-by-step explanation:

I took the quiz and got it right Edg.2021

Answer:

Divide the volume of the tank (10,000 gallons) by the filling rate of 250 gallons/minute and you will  Hours = hr x min x 3785 ml x 55 gal = 208175 = 115.6 hrs.

Step-by-step explanation:

hope it helps