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Temka [501]
3 years ago
15

60 pts! 2x + 34 = 4(x + 5)solve the equation for x. ​

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
7 0

Answer:

x=7

Step-by-step explanation:

expand 4(x+5): 4x+20

2x+34=4x+20

subtract 34 from both sides

2x+34-34=4x+20-34

2x=4x-14

subtract 4x from both sides

2x-4x=4x-14-4x

-2x=-14

divide both sides by -2

-2x/-2=-14/-2

x=7

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A manufacturer produces piston rings for an automobile engine. It is known that ring diameter is normally distributed with σ=0.0
oksian1 [2.3K]
<h2>Answer with explanation:</h2>

The confidence interval for population mean is given by :-

\overline{x}\pm z^* SE                   (1)

, where \overline{x} = sample mean

z* = critical value.

SE = standard error

and SE=\dfrac{\sigma}{\sqrt{n}} , \sigma = population standard deviation.

n= sample size.

As per given , we have

\overline{x}=74.021

\sigma=0.001

n= 15

It is known that ring diameter is normally distributed.

SE=\dfrac{0.001}{\sqrt{15}}=0.000258198889747\approx0.000258199

By z-table ,

The critical value for 95% confidence  = z*= 1.96

A 99% two-sided confidence interval on the true mean piston diameter :

74.021\pm (2.576) (0.000258199)     (using (1))

74.021\pm 0.000665120624

74.021\pm 0.000665120624\\\\=(74.021- 0.000665120624,\ 74.021+ 0.000665120624)\\\\=(74.0203348794,\ 74.0216651206)\approx(74.020,\ 74.022)  [Rounded to three decimal places]

∴  A 99% two-sided confidence interval on the true mean piston diameter  = (74.020, 74.022)

By z-table ,

The critical value for 95% confidence  = z*= 1.96

A 95% lower confidence bound on the true mean piston diameter:

74.021- (1.96) (0.000258199)    (using (1))

74.021- 0.00050607004=74.02049393\approx74.020 [Rounded to three decimal places]

∴  A 95% lower confidence bound on the true mean piston diameter= 74.020

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8 0
3 years ago
Simplify 10(x + 4) + 15(x + 1)
motikmotik

Answer:

25x + 55

Step-by-step explanation:

10(x + 4) + 15(x + 1)

Distribute

10x + 40 + 15x +15

Combine like terms

25x + 55

8 0
3 years ago
Read 2 more answers
Find the area and perimeter of the given rectangle.
jeka94

Answer:

The Area is 99 units², while the perimeter is 40 units

Step-by-step explanation:

Area can be found by multiplying the length of the rectangle by the width of the rectangle. Counting the boxes on the side gives you 11 horizontally and 9 vertically. Multiplying these two gives you an area of 99. The measurement is  in units because there is no given unit of measurement such as inches, feet, or meters. Area is always squared which is why there is a ² after units.

Perimeter can be found by adding all 4 sides together. Counting the boxes gives you 11 + 11 + 9 + 9. This gives you a perimeter of 40.  The measurement is in units because there is no given unit of measurement such as inches, feet, or meters. Perimeter is not squared like area.

7 0
3 years ago
Six ft or two meters
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3 years ago
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