Factor completely: 8x2 + 72x + 112

Determine measurements of data for the following numbers:

Leno4ka [110]

Answer: mean=87, median=87.5 and range=18

Step-by-step explanation:

Mean:

First add all the numbers

78+95+77+92+87+79+94+86+88+94 = 870

Then you divide the answer by counting the numbers

870÷10

=87

Median:

First arrange the numbers in ascending order (from smallest to largest)

77, 78, 79, 86, 87, 88, 92, 94, 94, 95

pick the two middle numbers which is 87 and 88

then you do $\frac{87+88}{2}$

= 175÷2

= 87.5

range = Largest number - smallest number

= 95-77

= 18

8 0

2 years ago

The graph of the function f(x)=4/5 sqrt x is shown.<br> What is the domain of the function?

S_A_V [24]

Answer:

All real number greater than equal to zero.

Step-by-step explanation:

The function is given by

$f(x) = \frac{4}{5}\sqrt x$

The domain is defined as the input values so that the function is well defined.

here, the values of x should be all real number and zero also.

So, the correct option is (d).

5 0

2 years ago

I'm confused like in #1 the positive is five but what do I put for the negative

yuradex [85]

You found $5, so it's positive. You don't put anything in the negative, because you aren't losing anything.

4 0

3 years ago

Emily is entering a bicycle race for charity. Her mother pledges $0.40 for every 0.75 miles she bikes. If Emily bikes 21 miles,

lora16 [44]

Answer:

Her mother will donate $11.20

Step-by-step explanation:

$0.40 every 0.75 miles.
21 miles biked.

Step 1: Figure out how many 0.75 increments are in 21 miles.

21 ÷ 0.75 = 28

There are 28 increments of 0.75 in 21 miles.

Step 2: Multiply 28 by $0.40

28 * $0.40 = $11.20

4 0

3 years ago

Read 2 more answers

A study was conducted to measure the effectiveness of hypnotism in reducing pain. The measurements are centimeters on a pain sca

blondinia [14]

The confidence interval for mean of the "before-after" differences is $\fbox{(-0.4037,1.8037)}$

Further explanation:

Find the difference between the before pain and the after pain.

Difference = before-after

Kindly refer to the Table for the difference of between the before and after pain.

Sum of difference = $5.6$

Total number of observation = $8$

Mean of difference = $0.7$

Sample standard deviation $s$ = $1.3201$

Level of significance = $5\%$

Formula for confidence interval = $\left( \bar{X} \pm t_{n-1, \frac{\alpha}{2}\%} \frac{s}{\sqrt{n}} \right)$

confidence interval = $\left( 0.7 \pm t_{8-1, \frac{5}{2}\%} \frac{1.3201}{\sqrt{8}} \right)$

confidence interval = $\left( 0.7 \pm t_{7, \frac{5}{2}\%} \frac{1.3201}{\sqrt{8}} \right)$

From the t-table.

The value of $t_{7, \frac{5}{2}\%$ = $2.365$

Confidence interval = $( 0.7 \pm 2.365}\times \frac{1.3201}{\sqrt{8}}) \right)$

Confidence interval = $\left( 0.7 - 2.365}\times \0.4667,0.7 + 2.365}\times \0.4667) \right$

Confidence interval = $(0.7-1.1037,0.7+1.1037)$

Confidence interval = $\fbox{(-0.4037,1.8037)}$

The $95\%$ confidence interval tells us about that $95\%$ chances of the true mean or population mean lies in the interval.

Yes, the hypnotism appear to be effective in reducing pain as confidence interval include includes the positive deviation from the mean.

Learn More:

1. Learn more about equation of circle brainly.com/question/1506955

2. Learn more about line segments brainly.com/question/909890

Answer Details:

Grade: College Statistics

Subject: Mathematics

Chapter: Confidence Interval

Keywords:

Probability, Statistics, Speed dating, Females rating, Confidence interval, t-test, Level of significance , Normal distribution, Central Limit Theorem, t-table, Population mean, Sample mean, Standard deviation, Symmetric, Variance.

7 0

3 years ago

Read 2 more answers