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2 years ago

Which of the following inequalities match the statement “nine is more than a number”? 9 < n 9 ≥ n 9 ≤ n 9 > n

1 answer:

5 0

The correct answer is 9>n since it doesn't say greater than or equal to, we can cross out the 2 and that leaves us with 9<n and 9>n but it actually says 9 is more than a number so that leaves us with 9>n

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After 5 years, a $2,450 investment is worth $3,123.75.

kondaur [170]

Answer:

5.5%

Step-by-step explanation:

To solve this problem we can use a modified version of the simple interest formula which is shown below:

$r=\frac{I}{Pt}$

I = interest amount

P = principal amount

t = time (years)

The first step is to find the interest gained from the investment.

$3,123.75-2,450=673.75$

Next, plug in the values into the equation:

$r=\frac{673.75}{(2,450)(5)}$ Multiply the bottom values

$r=\frac{673.75}{12,550}$ Divide the values

$r=.055$

The last step is to convert 0.055 into a percent:

$0.055(100)=5.5$

The interest rate is 5.5%

3 0

3 years ago

If you want to be 95% confident of estimating the population mean to within a sampling error of plus or minus3 and the standard

Aleksandr [31]

Answer:

The sample size required is at least 171

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

What sample size is required?

A samle size of at least n is required, in which n is found when $M = 3, \sigma = 20$

$M = z*\frac{\sigma}{\sqrt{n}}$

$3 = 1.96*\frac{20}{\sqrt{n}}$

$3\sqrt{n} = 20*1.96$

$\sqrt{n} = \frac{20*1.96}{3}$

$(\sqrt{n})^{2} = (\frac{20*1.96}{3})^{2}$

$n = 170.7$

Rouding up

The sample size required is at least 171

5 0

2 years ago

Use the simple interest formula to find the ending balance.

AlexFokin [52]

Answer:

$5,875

Step-by-step explanation:

Interest = Principal x Time x Interest Rate

Interest = $5000 x 3.5 x 0.05

Interest = $875

Total Balance will be

$5000 + $875

= $5,875

in 3.5 years

7 0

3 years ago

Geometry. Unit 1. Lesson 5. (5.2: Make it Right) Use GeoGebra

Nata [24]

Answer:nnjjj

Step-by-step explanation:

4 0

3 years ago

For exercises 16-18 , trace each figure and draw its rotated image

Artemon [7]

The answer is r(b x p) d

6 0

3 years ago