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3 years ago

What is the scale factor of 2/3

Mathematics

1 answer:

Novosadov [1.4K]3 years ago

5 0

Step-by-step explanation:

a scale factor of 2 means that the new shape is twice the size of the original. A scale factor of 3 means that the new shape is three times the size of the original.

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Past experience has indicated that the breaking strength of yarn used in manufacturing drapery material is normally distributed

vlabodo [156]

Answer:

95% two-sided confidence interval on the true mean breaking strength is (94.8cm, 99.2cm)

Step-by-step explanation:

Our sample size is 11.

The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

$df = 11-1 = 10$ .

Then, we need to subtract one by the confidence level $\alpha$ and divide by 2. So:

$\frac{1-0.95}{2} = \frac{0.05}{2} = 0.025$

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 10 and 0.025 in the two-sided t-distribution table, we have $T = 1.812$

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

$s = \frac{4}{\sqrt{11}} = 1.2060$

Now, we multiply T and s

$M = Ts = 1.812*1.2060 = 2.19/tex]For the lower end of the interval, we subtract the sample mean by M. So the lower end of the interval here is[tex]L = 97 - 2.19 = 94.81 = 94.8$ cm

For the upper end of the interval, we add the sample mean and M. So the upper end of the interval here is

$L = 97 + 2.19 = 99.19 = 99.2$ cm

95% two-sided confidence interval on the true mean breaking strength is (94.8cm, 99.2cm).

7 0

3 years ago

What is the value of x in the equation 2x+3y=36y when y=6?

jonny [76]

Answer:

y = 6 so

2x + 3y = 36y is equal to:

2x + 3*6 = 36*6

-> 2x + 18 = 216

We must now move 18 to the other side of the equation. As we do that, we also change it's sign to negative 18:

2x = 216 - 18

We simplify this

2x = 198

Now, that we got to this point, we know that 2x is equal to 198. To find x we must divide the both sides of the equation by two:

2x/2 = 198/2

And we get that

x = 99

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

The area of a rectangle is 3535 square meter. the width is 2525 meter.

GaryK [48]

A, using the formula length= Area: width
and we have the length= 3535:2525= 1,4 m or this number as a fraction 14/10=7/5
But the length is smaller than the width?

b, I think you type wrongly the problem

3 0

4 years ago

A county fair charges an entry fee of $7 and $0.75 for each ride token. You have $15. Write an expression that represents the am

aleksley [76]

The answer is 3.50
Because 15-7 equal 8,6 times 0.75 equal 4.50, and 8-4.5 equal 3.50

7 0

2 years ago

Read 2 more answers

Explain how you can use place value patterns to describe how 50 and 5000 compare

salantis [7]

The place value pattern is a system of patterns of tens in which every place value is ten times the value on its right. The place value pattern system is used to <span>write numbers that are 10 times as much as or 1/10 of any given number.
The place values in the pattern are: ones, tens (10*ones), hundreds (10*tens), thousands (10*hundreds),...
So, 50 = 5 tens
5000= 5 thousands, 0 hundreds, 0 tens, 0 ones

So, 5000 > 50</span>

3 0

4 years ago