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3 years ago

Write the ratio of apples to oranges in simplest form please explain. Thanks

Mathematics

2 answers:

Nadya [2.5K]3 years ago

7 0

There are 6 apples and 2 oranges.
So the ratio of apples to oranges would be 6:2.
However this can be simplified, because these number have a common factor, which is 2. So you divide 2 by 2, and 6 by 2, and get 1 and 3. So the ratio of apples to oranges in simplified form is 1:3. Hope this explains it :)

saveliy_v [14]3 years ago

6 0

Answer: The required ratio in simplest form is 3 : 1.

Step-by-step explanation: We are given to find the ratio of apples to oranges in simplest form.

From the picture, we note that

the number of apples, a = 6

and

the number of oranges, o = 2.

Therefore, the ratio of the number of apples to the number of oranges is given by

$a:o\\\\=6:2\\\\=\dfrac{6}{2}\\\\=\dfrac{3}{1}\\\\=3:1.$

Thus, the required ratio in simplest form is 3 : 1.

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En una nevería, si deseas consumir algún paquete de snacks tiene un costo de $30 y no te cobran la admisión. Si consideras x a l

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Answer:

goihgtf hhhiittr edfyji hrtioomg trion.

3 0

3 years ago

In a large midwestern university (the class of entering freshmen is 6000 or more students), an SRS of 100 entering freshmen in 1

Serga [27]

Answer:

The p-value of the test is 0.0228, which is less than the standard significance level of 0.05, which means that there is evidence that the proportion of freshmen who graduated in the bottom third of their high school class in 2001 has been reduced.

Step-by-step explanation:

Before solving this question, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

1999:

20 out of 100 in the bottom third, so:

$p_1 = \frac{20}{100} = 0.2$

$s_1 = \sqrt{\frac{0.2*0.8}{100}} = 0.04$

2001:

10 out of 100 in the bottom third, so:

$p_2 = \frac{10}{100} = 0.1$

$s_2 = \sqrt{\frac{0.1*0.9}{100}} = 0.03$

Test if proportion of freshmen who graduated in the bottom third of their high school class in 2001 has been reduced.

At the null hypothesis, we test if the proportion is still the same, that is, the subtraction of the proportions in 1999 and 2001 is 0, so:

$H_0: p_1 - p_2 = 0$

At the alternative hypothesis, we test if the proportion has been reduced, that is, the subtraction of the proportion in 1999 by the proportion in 2001 is positive. So:

$H_1: p_1 - p_2 > 0$

The test statistic is:

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

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, and s is the standard error.

0 is tested at the null hypothesis:

This means that $\mu = 0$

From the two samples:

$X = p_1 - p_2 = 0.2 - 0.1 = 0.1$

$s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.04^2 + 0.03^2} = 0.05$

Value of the test statistic:

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

$z = \frac{0.1 - 0}{0.05}$

$z = 2$

P-value of the test and decision:

The p-value of the test is the probability of finding a difference of at least 0.1, which is the p-value of z = 2.

Looking at the z-table, the p-value of z = 2 is 0.9772.

1 - 0.9772 = 0.0228.

5 0

3 years ago

-4<img src="https://tex.z-dn.net/?f=%5Cgeq" id="TexFormula1" title="\geq" alt="\geq" align="absmiddle" class="latex-formula">4(6

Ivan

-4 _> 4(6y-12)-2y

first distribute/ simplify the equation
-4 _> 24y-48-2y

then combine like terms
-4 _> 22y-48

solve for y

-4 _> 22y-48
44 _> 22y
2 _> y

so the answer is y <_ 2 ( y is less than or equal to 2)

4 0

3 years ago

The following set of coordinates represents which figure? (0, 4), (0, 7), (1, 5), (1, 2)

Romashka [77]

Answer:

The figure represent a parallelogram

Step-by-step explanation:

we have

$(0, 4), (0, 7), (1, 5), (1, 2)$