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2 years ago

Change 21 out of 71 to a percentage. Give your answer to 1 decimal place

Mathematics

2 answers:

ad-work [718]2 years ago

7 0

Answer:

ans 1. 29.5

ans 2. 18.1

ans 3. 27.9

ans 4. 75.4

I hope it helps....

melisa1 [442]2 years ago

3 0

1. 29.6%
2. 18.1%
3. 27.9%
4. 75.4%

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A factory makes propeller drive shafts for ships. A quality assurance engineer at the factory needs to estimate the true mean le

borishaifa [10]

Answer:

$1000-1.96\frac{2}{\sqrt{4}}=998.04$

$1000+1.96\frac{2}{\sqrt{4}}=1001.96$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that $z_{\alpha/2}=1.96$

Now we have everything in order to replace into formula (1):

$1000-1.96\frac{2}{\sqrt{4}}=998.04$

$1000+1.96\frac{2}{\sqrt{4}}=1001.96$

5 0

2 years ago

Patti has two glue sticks that are partially used. One has 1/5 left, and one has 3/10 left. Which glue stick has more glue?

marishachu [46]

Answer:

the one with 3/10 left has more

Step-by-step explanation:

because 1/5 is equal to 2/10 and 3/10>2/10

8 0

2 years ago

Read 2 more answers

What is the justification for each step in the solution of the equation?

podryga [215]

Here are the following justifications:

Given: -2 (x-1) +12=4x-6

Distribute property = -2x+2+12=4x-6

Combine like terms= -2x+14=4x-6

Transpose = -2x = 4x – 20

Addition or Subtraction Property of Equality = -6x = -20

Division property of equality = x = 20/6

Simplify = x = 10/3

7 0

2 years ago

John is working part-time in an office. He works 30 hours per week and earns $600 each week. He currently has $2,700 in a saving

IgorLugansk [536]

I wish I could help but I am not good at interest and all of that stuff. I am really sorry.

6 0

2 years ago

Which rule describes the composition of transformations that maps figure ABCDE to figure A"B"C'D"E"?

meriva

The composition of transformations that maps figure ABCDE to figure ${\text{A''B''C'D''E''}}$ is $\boxed{{\text{a reflection about line }}m{\text{ the rotate 18}}{{\text{0}}^ \circ }}.$

Further explanation:

The rule of transformation of the coordinates can be expressed as follows,

$\boxed{\left( {x,y} \right) \to \left( {kx,ky} \right)}$

Isometry is a mapping of space to another space so that the length between the points is same as the length in the original space. Translation and the rotation are the isometries of plane.

Explanation:

In isometric transformation the shape of the original and the image remains the same and the size of the image is same as the original.

From the attached figure it has been observed that the composition of transformations that maps figure ABCDE to figure ${\text{A''B''C'D''E''}}$ is first reflect the polygon ABCDE about line $m$ and then rotate about 180 degree anti clockwise.

The composition of transformations that maps figure ABCDE to figure ${\text{A''B''C'D''E''}}$ is $\boxed{{\text{a reflection about line }}m{\text{ the rotate 18}}{{\text{0}}^ \circ }}.$

Learn more:

Learn more about inverse of the functionhttps://brainly.com/question/1632445.
Learn more about equation of circle brainly.com/question/1506955.
Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Coordinate geometry

Keywords: image vertices, triangle, dilated, lies, same line, shift four units, left, pre-imaged, dilation, center, scale factor, four, coordinates, x-coordinates, y-coordinate, transformation rule.

4 0

2 years ago

Read 2 more answers