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3 years ago

Which situation is represented by the equation 6n+5=3n+20

Mathematics

1 answer:

balandron [24]3 years ago

7 0

Answer:

a linear equation

Step-by-step explanation:

6n+5=3n+20

collect like terms:

6n-3n=20-5

3n=15

divide both sides with the coefficient of n

3n÷3=15÷3

n=5

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The equation below has infinitely many solutions. -3 (x – 3) – 1 = ax + b True False

Anna [14]

Answer:

False

Step-by-step explanation:

3 0

3 years ago

a 2015 Gallup poll of 1,627 adults found that only 22% felt fully engaged with their mortgage provider ?

Gala2k [10]

Answer:

1. The population of interest on this case is people who felt fully engaged with their mortgage provider

2. On this case the sample size is 1627 the number of people sample selected.

3. $ME=1.96\sqrt{\frac{0.22 (1-0.22)}{1627}}=0.0201$

4. The 95% confidence interval would be given (0.1999;0.2401).

5. We are confident 95% that the true proportion of proportion is between 0.1999 and 0.2401.

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".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

1. What is the population?

The population of interest on this case is people who felt fully engaged with their mortgage provider

2. What is the sample size?

On this case the sample size is 1627 the number of people sample selected.

3. What is the 95% margin of error?

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

If we replace we got:

$ME=1.96\sqrt{\frac{0.22 (1-0.22)}{1627}}=0.0201$

4. What is the 95% confidence interval?

The confidence interval would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 95% confidence interval the value of $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.96$

And replacing into the confidence interval formula we got:

$0.22 - 1.96 \sqrt{\frac{0.22(1-0.22)}{1627}}=0.1999$

$0.22 + 1.96 \sqrt{\frac{0.22(1-0.22)}{1627}}=0.2401$

And the 95% confidence interval would be given (0.1999;0.2401).

5. Express your answer to 4 in a meaningful sentence.

We can conclude this:

We are confident 95% that the true proportion of proportion is between 0.1999 and 0.2401.

7 0

3 years ago

Pls tell me how to do it.

kkurt [141]

Lets get started :)

The ratio of juice is as follows:
orange : mango : apple
3 : 5 : 4
↑
35 bottles

5x = 35

$\frac{5x}{5} = \frac{35}{5}$
5 and 5 cancels out
x = 7

3x + 5x + 4x = total
Subsitute the value you go for x, x = 7
3(7) + 5(7) + 4(7) = total
21 + 35 + 28 = 84

Total of 84 bottles of juices :)
Your final answer will be option D

6 0

3 years ago

If 1/3 of 33 bakers can make 89 pretzels in 2 1/2 hours, then how many pretzels can 5 3/4 bakers make in 1 1/2 hours? Explain yo

kirza4 [7]

Answer:

Step-by-step explanation:

11 bakers makes 89 pretzels in 2.5 hours

11 bakers makes 35.6 pretzels in 1 hour

1 baker makes 3.23636 pretzels in 1 hour

so, 5.75 bakers in 1.5 hours at 3/23636 pretzels per hour will make....

5.75* 1.5 * 3.23636 = 27.9136 pretzels

4 0

3 years ago

PLSS HELP!!

chubhunter [2.5K]

Answer:

A. 1.15 x $10^{2}$

Step-by-step explanation:

We can find out how many times larger is the diameter of the sun than the diameter of Venus by dividing the diameter of the sun by the diameter of Venus, and so we get...

1391000 / 12100 ≅ 115

115 is equal to 1.15 x $10^{2}$ , therefore the right answer is A.

5 0

3 years ago