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3 years ago

Simplify the following ratios: 2.1.1) 140:24

Mathematics

1 answer:

gogolik [260]3 years ago

4 0

Answer:

35/6

Step-by-step explanation:

We have, 140:24

Dividing by 4 we get 35:6

As there is no other common factor to divide with, 35:6 is the simplest form.

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Mara finished 1/5 and 3/8 . what fraction she complete

lesya692 [45]

FIrst you need common denominators for both fraction so the common denominator would be 40 so both fractions look like this
1/40 and 3/40 now you and and you get 4/40 but now you can simplify that down by divinig by 4 and your fraction will be 1/10

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4 years ago

Use the GCF and the distributive property to write 12 + 39 as a product. Then check your answer.

Anika [276]

<span>The factors of 12 are 1, 2, 3, 4, 6, and 12. The factors of 39 are 1, 3, 13, and 39. A GCF, or greatest common factor, is the largest (greatest) number that divides two numbers. From the lists, we see that this is 3. If we factor out the 3 from both 12 and 39 essentially undoing the distributive property, we are left with the product 3 * ( 4 + 13 ).</span>

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3 years ago

Nita processed the odd number 4575 as follows. She found that the result was an odd number.

e-lub [12.9K]

Answer:

Step-by-step explanation:

cwvw

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3 years ago

Take a regular pentagon and draw all possible diagonals in it. How many different triangles can be formed by the sides of the po

MAVERICK [17]

Answer:

5 different triangles

Step-by-step explanation:

we know that

The number of diagonals of an n-sided polygon is given by the formula :

$n(n − 3) / 2$

where

n is the number of sides

In this problem

n=5

substitute

$5(5-3)/2=5\ diagonals$

see the attached figure to better understand the problem

The number of different triangles that can be formed by the sides of the polygon and its diagonals is equal to 5

Triangles

AEB

EDC

BCD

ACD

EBC

see the attached figure

5 0

3 years ago

1. The SAT test scores have an average value of 1200 with a standard deviation of 105. A random sample of 35 scores is selected

AveGali [126]

Answer:

a) The shape is bell shaped, because of the single peak at the center, that is the mean.

The mean of the sampling distribution of the sample mean is 1200.

The standard deviation of the sampling distribution of the sample mean for samples of size 35 is 17.75.

b) There is a 2.07% probability that the sample mean will be larger than 1235.

c) 85.68% probability that the sample mean will fall within 25 points of the population mean.

d) There is a 7.22% probability that the sample mean will be less than 1175.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by

$Z = \frac{X - \mu}{\sigma}$

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

In this case, we have that:

The SAT test scores have an average value of 1200 with a standard deviation of 105. A random sample of 35 scores is selected for study. So $\mu = 1200, \sigma = 105, n = 35$ .

A) What is the shape, mean(expected value) and standard deviation of the sampling distribution of the sample mean for samples of size 35?

The shape is bell shaped, because of the single peak at the center, that is the mean.

The mean of the sampling distribution of the sample mean is the same as the sample mean. So, the mean of the sampling distribution of the sample mean is 1200.

The standard deviation of the sampling distribution of the sample mean for samples of size 35 is the sample standard deviation divided by the square root of the size of the sampling distribution.

$s = \frac{105}{sqrt{35}} = 17.75$

The standard deviation of the sampling distribution of the sample mean for samples of size 35 is 17.75.

B) What is the probability that the sample mean will be larger than 1235?

This is 1 subtracted by the pvalue of Z when $X = 1235$ .

$Z = \frac{X - \mu}{s}$

$Z = \frac{1235 - 1200}{17.15}$

$Z = 2.04$

$Z = 2.04$ has a pvalue of 0.9793

So there is a 1-0.9793 = 0.0207 = 2.07% probability that the sample mean will be larger than 1235.

C) What is the probability that the sample mean will fall within 25 points of the population mean?

This is the subtraction of the pvalue of the Z score when X = 1225 by the pvalue of the Z score when X = 1175.

So:

$Z = \frac{X - \mu}{s}$

$Z = \frac{1225 - 1200}{17.15}$

$Z = 1.46$

$Z = 1.46$ has a pvalue of 0.9279

X = 1175 is going to have $Z = -1.46$ , that has a pvalue of 0.0722.

This means that there is a 0.9297 - 0.0729 = 0.8568 = 85.68% probability that the sample mean will fall within 25 points of the population mean.

D) What is the probability that the sample mean will be less than 1175?

X = 1175 has $Z = -1.46$ , that has a pvalue of 0.0722.

This means that there is a 7.22% probability that the sample mean will be less than 1175.

3 0

3 years ago

Simplify the following ratios: 2.1.1) 140:24​

Simplify the following ratios: 2.1.1) 140:24