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3 years ago

What 21 over 40 divided by I’m

Mathematics

1 answer:

Fittoniya [83]3 years ago

3 0

Answer:

if you're asking what 21 divided by 40 is then it's 0.525

Step-by-step explanation:

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Suppose Quadrilaterals A and B are both squares. Are A and B necessarily scaled

nevsk [136]

Answer:

Yes

Step-by-step explanation:

A rectangle can be scaled into a square + rhombus. The difficult part is a trapezoid. If you can scale the sides, then the answer will remain yes because you would just make the top side longer both ways to straighten it and shorten the side lines.

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2 years ago

Before leaving to visit Mexico, levant traded 270 american dollars and received 3000 mexican pesos. When he returned from mexico

Makovka662 [10]

Levant will receive about 9 american dollars when he exchanges his pesos.

According to this question, 1 american dollar is worth about 11 pesos. In order to find that, you need to divide 3000/270 which gives you around 11. In order to find out how many dollars he will receive for his pesos, you need to divide 100 by 11 which gives you about 9 dollars.

4 0

3 years ago

Read 2 more answers

What is an algebraic expression

Bond [772]

An algebraic expression is an expression that includes constants, variables, and the algebraic operations (add, subtract, multiply, divide.

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3 years ago

A manufacturer of nails claims that only 4% of its nails are defective. A random sample of 20 nails is selected, and it is found

irakobra [83]

Answer:

The p-value of the test is 0.0853 > 0.05, which means that there is not enough evidence to reject the manufacturer's claim based on this observation.

Step-by-step explanation:

A manufacturer of nails claims that only 4% of its nails are defective.

At the null hypothesis, we test if the proportion is of 4%, that is:

$H_0: p = 0.04$

At the alternative hypothesis, we test if the proportion is more than 4%, that is:

$H_a: p > 0.04$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

4% is tested at the null hypothesis

This means that $\mu = 0.04, \sigma = \sqrt{0.04*0.96}$

A random sample of 20 nails is selected, and it is found that two of them, 10%, are defective.

This means that $n = 20, X = 0.1$

Value of the test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.1 - 0.04}{\frac{\sqrt{0.04*0.96}}{\sqrt{20}}}$

$z = 1.37$

P-value of the test and decision:

Considering an standard significance level of 0.05.

The p-value of the test is the probability of finding a sample proportion above 0.1, which is 1 subtracted by the p-value of z = 1.37.

Looking at the z-table, z = 1.37 has a p-value of 0.9147

1 - 0.9147 = 0.0853

The p-value of the test is 0.0853 > 0.05, which means that there is not enough evidence to reject the manufacturer's claim based on this observation.

7 0

3 years ago

Read 2 more answers

The table shows a linear function. <br>which equation represents the function?

Bas_tet [7]

Answer:

Option C is correct.

The equation $f(x)= -\frac{1}{2}x +4$ represents the function.

Step-by-step explanation:

Using slope intercept form to find the equation of line :

For any two points $(x_1, y_1)$ and $(x_2, y_2)$ the equation of line is given by:

$y -y _1 = m(x-x_1)$ ......[1] ;where m is the slope given by:

$m = \frac{y_2-y_1}{x_2-x_1}$

Consider any two points from table :

let (4, 2) and (0, 4) be any two points.

calculate slope:

$m = \frac{y_2-y_1}{x_2-x_1}= \frac{4-2}{0-4}$

$m = \frac{2}{-4} = -\frac{1}{2}$

Now, substitute in equation [1] we have:

$y - 2 = -\frac{1}{2} (x-4)$

Distributive property i.e, $a\cdot (b+c) = a\cdot b + a\cdot c$

$y -2 = -\frac{1}{2}x +2$

Add both sides 2 we get;

$y -2+2 = -\frac{1}{2}x+2+2$

Simplify:

$y = -\frac{1}{2}x+4$

Since, y= f(x)

$f(x)= -\frac{1}{2}x +4$

therefore, the equation $f(x)= -\frac{1}{2}x +4$ represents the function.

8 0

3 years ago