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3 years ago

10

Find the sum. Write your answer in simplest form. 4 - 100 + 8 5 00

1 answer:

Volgvan3 years ago

5 0

I don’t know it the last number is 8500 but I got 8404 it’s that

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The average and standard deviation of a measurement is 15.0 ± 5.0. if 100 students measured the value, how many would you expect

AURORKA [14]

Solution: We are given:

$\mu=15, \sigma=5$

Using the empirical rule, we have:

$\mu \pm \sigma$ covers 68% of data.

Also the percentage of values below mean = Percentage of values above mean = 50%

Now, let's find the z score for x=20

$z=\frac{20-15}{5}=1$

Therefore, the percentage of values greater than 1 standard deviation above mean $50\% - \frac{68\%}{2} =50\%-34\%=16%$

Expected number of students = 16% of 100 = 16

4 0

3 years ago

How do you solve this?

Katarina [22]

$\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{}{ h},\stackrel{}{ k})\qquad \qquad radius=\stackrel{}{ r} \\\\[-0.35em] ~\dotfill\\\\ (x-6)^2+(y+5)^2=16\implies [x-\stackrel{h}{6}]^2+[y-(\stackrel{k}{-5})]^2=\stackrel{r}{4^2}~\hfill \begin{cases} \stackrel{center}{(6,-5)}\\ \stackrel{radius}{4} \end{cases}$

Check the picture below.

6 0

3 years ago

Read 2 more answers

Find the slope of the line that passes through the points (10, 9) and (2, 4).

solniwko [45]

Answer:

slope = 5/8

Step-by-step explanation:

use the slope formula to find the slope: $\frac{y_2 - y_1}{x_2-x_1}$

$\frac{9-4}{10-2} = \frac{5}{8}$

6 0

3 years ago

Solve for x.<br><br> (x−2)^2+2=38<br><br> x= ___ or x= ___

Elan Coil [88]

Answer:

$x \: = \: \boxed{ \bold{ - 4 }}\: \: \text{or} \: \: x \: = \: \boxed{ \bold{ 8}}$

Step-by-step explanation:

$(x \: - \: 2 {)}^{2} \: + \: 2 \: = \: 38$

${x}^{2} \: - \: 4x \: + \: 4 \: + \: 2 \: = \: 38$

${x}^{2} \: - \: 4x \: + \: 6 \: = \: 38$

${x}^{2} \: - \: 4x \: + \: 6 \: - \: 38 \: = \: 0$

${x}^{2} \: + \: 4x \: - \: 8x \: - \: 32 \: = \: 0$

$x \: \times \: (x \: + \: 4) \: - \: 8(x \: + \: 4) \: = \: 0$

$(x \: + \: 4) \: \times \: (x \: - \: 8) \: = \: 0$

When it happens that the product of the factors is the same as zero. It is divided into two possible cases.

$x \: + \: 4 \: = \: 0 \\ x \: - \: 8 \: = \: 0$

We solve the two equations:

$x \: = \: - 4 \\ x \: = \: 8$

<h2>Answer: </h2>

$x \: = \: - 4 \\ x \: = \: 8$

<h3><em><u>MissSpanish</u></em></h3>

6 0

2 years ago

The price was 448 dollars, went on sale for 398 dollars, what was the discount as a percent and savings in dollars and cents.

Annette [7]

11% discount
$49.28 savings

5 0

3 years ago