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2 years ago

6

Find the missing value in the ratio table. Then write the equivalent ratios. Boys 1 Girls 5 10 The equivalent ratios are 1: 5 an

d

1 answer:

Sedbober [7]2 years ago

8 0

Lets make a graph

Boys Girls

1 5

2 ?

2*5=10

Therefore, its

Boys Girls

1 5

<h2>2 <u><em>10</em></u></h2>

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The mean of 7 numbers is 6.<br> What is the total of the numbers?

svetoff [14.1K]

42. The mean is the total of the numbers divided by the amount of numbers. In this case the amount of numbers is 7 and the mean is 6. That means that the total of the numbers divided by 7 equals 6. To find the total you just do the opposite, multiply 7 by 6 and you get 42.

5 0

3 years ago

Can someone please help me with this?

geniusboy [140]

Answer: B and D

Step-by-step explanation:

First, solve the terms inside of the parenthesis. As a general rule, whenever you multiply two terms that have the same base, you can add their exponents.

Applying this rule, the base in the problem is 6, and the exponents are 3 and -4. The sum of 3 and -4 leaves -1. Therefore, this is one of our solutions:

$(6^-^1)^-^3$

When you have an exponential term raised to another exponent, you can simply multiply the exponents. In the previous solution given above, multiply -1 and -3 to get 3. Therefore our second solution is:

$6^3$

8 0

3 years ago

Arithmetic Sequence.<br><br>What is the explicit formula for -39, -139, -139, -339?

creativ13 [48]

Answer:

an = -39 -100(n -1)

Step-by-step explanation:

The given sequence can be described by a 3rd degree polynomial.* However, we suspect a typo, and that your intention is to have a formula for the arithmetic sequence ...

-39, -139, -239, -339

This has a first term a1 = -39, and a common difference d = -100.

The model for the explicit formula is ...

an = a1 +d(n -1)

Filling in the given values, the formula you seek is ...

an = -39 -100(n -1)

_____

* That polynomial is ...

an = 50n^3 +350n^2 -800n +461

This gives a sequence that starts ...

-39, -139, -139, -339, -1039, -2539, -5139, -9139, ...

7 0

3 years ago

88 Is 20 percent of what number?

ValentinkaMS [17]

Answer:

440

Step-by-step explanation:

You can write the problem statement in math terms as ...

88 = 0.20 × (what number)

To solve this, divide by the coefficient of the variable, 0.20.

88/0.20 = (what number)

440 = (what number)

The number you're looking for is 440.

_____

Of course you know that 20% = 20/100 = 0.20.

(% is a shorthand way to write /100.)

5 0

3 years ago

A maker of a certain brand of low-fat cereal barsclaims that the average saturated fat content is 0.5gram. In a random sample of

finlep [7]

Answer:

$t=\frac{0.475-0.5}{\frac{0.183}{\sqrt{8}}}=-0.386$

$p_v =2*P(t_{(7)}$

If we compare the p value and the significance level assumed $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the true mean is different from 0.5 at 5% of signficance. So then the claim makes sense

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".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

In order to calculate the mean and the sample deviation we can use the following formulas:

$\bar X= \sum_{i=1}^n \frac{x_i}{n}$ (2)

$s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}}$ (3)

The mean calculated for this case is $\bar X=0.475$

The sample deviation calculated $s=0.183$

We need to conduct a hypothesis in order to check if the true mean is 0.5 or no, the system of hypothesis would be:

Null hypothesis: $\mu = 0.5$

Alternative hypothesis: $\mu \neq 0.5$

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{0.475-0.5}{\frac{0.183}{\sqrt{8}}}=-0.386$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=8-1=7$

Since is a two sided test the p value would be:

$p_v =2*P(t_{(7)}$

Conclusion

If we compare the p value and the significance level assumed $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the true mean is different from 0.5 at 5% of signficance. So then the claim makes sense

4 0

3 years ago

Read 2 more answers