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Lana71 [14]
3 years ago
11

The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.8 millimeters and a standard deviati

on of 0.07 millimeters. Find the two diameters that separate the top 8% and the bottom 8%. These diameters could serve as limits used to identify which bolts should be rejected. Round your answer to the nearest hundredth, if necessary.
Mathematics
1 answer:
atroni [7]3 years ago
4 0

Answer:

5.70 < X < 5.89

Step-by-step explanation:

Z = ±1.40507156

z = (x - μ)/σ

1.40507156 = (x - 5.8)/.07

5.70 < X < 5.89

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What is the area of this composite figure?
Natalija [7]

Answer:

C.) 7.14 in²

Step-by-step explanation:

The figure is made up of a square and a circle. The circle is divided in half and each piece is set on one side of the square. This means that the diameter of the circle is equal to the length of the sides of the square, 2 inches.

The area of the square can be found by multiplying length times the width:

2*2=4

The area of the square is 4 inches, and since we multiplied two lengths, we square the value:

A=4in²

Now find the area of the circle using the formula:

A=\pi r^2

The radius is half of the diameter, so the radius is 1. Insert values and solve:

A=\pi *1^2\\\\A=\pi *1\\\\A=\pi

The area of the circle is equal to π. Add the values together:

4+\pi =7.14

The area of the figure is 7.14 in²

:Done

4 0
3 years ago
Which graph represents 49x2 + 4y2 + 196x – 40y + 100 = 0?
GREYUIT [131]

Answer:

D

Step-by-step explanation:

8 0
3 years ago
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Find the twenty-fifth term of an arithmetic sequence if the first term is-1 and the common difference is 5. Write the first thre
denis-greek [22]

Answer:

1). T_{25}=119

2). T_{1}=-23

T_{2}=-23+2=-21

T_{3}=-23+4=-19

Step-by-step explanation:

First term of an arithmetic sequence is (-1) and common difference is 5.

Then we have to find twenty fifth term of this arithmetic sequence.

Since explicit formula of an arithmetic sequence is represented by

T_{n}=a+(n-1)d

Where T_{n} represents nth term of the sequence.

a = first term

n = number of term

and d = common difference

Now we will find 25th term of this sequence.

T_{25}=(-1)+(25-1)5

= (-1) + 120

= 119

Similarly in second part of this question we have to find first three terms of an arithmetic sequence in which

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Now from the explicit formula

17 = a + (21 - 1)d

17 = a + 20d   --------(1)

75 = a + (50 - 1)d

75 = a + 49d --------(2)

Now we subtract equation 1 from 2

75 - 17 = 49d - 20d

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d = \frac{58}{29}=2

By putting d = 2 in equation 1

17 = a + 20×2

17 = a + 40

a = 17 - 40

a = -23

Therefore, first three terms of this sequence will be

T_{1}=-23

T_{2}=-23+2=-21

T_{3}=-23+4=-19

8 0
4 years ago
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JulsSmile [24]

Answer:

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7 0
3 years ago
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3 years ago
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