The diagram shows the graph of y = x/2 + 2/x, for 0

A car can travel 32 miles for each gallon of gas. The function d(x) = 32x represents the distance d(x), in miles, that the car c

notsponge [240]

The car would be able to travel 544 miles because 32 mpg multiplied by the 17 gallons the car is capable of having is 544 miles

7 0

3 years ago

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

Given the expression -15 (10 2/3) A. Rewrite the expression using distributive property B. Evaluate the expression in show all y

Ainat [17]

9514 1404 393

Answer:

-160

Step-by-step explanation:

-15(10 2/3) = -15(10) +(-15)(2/3) = -150 -30/3 = -150 -10 = -160

The mixed number can be written as the sum of an integer and a fraction. The multiplier then multiplies the integer and the fraction separately, and the two products are added.

8 0

3 years ago

The distance between point Q and point P is 6 1/2 units .Which number could represent point Q?please help me

Elden [556K]

Answer: Zero and Any real number

Step-by-step explanation:

Point Q could be represented by any real numbers. And zero if it's located at the origin. The same is applicable to value at point P. It's just that at P, the value can't be equal to Zero.

5 0

3 years ago

Find the vaues of x and y

Leni [432]

x=76

y=4

I think that answer should be right. Since it is isosceles the base angles will be the same and the top angle is an angle bisector which means that the angle split on top has even splits. Since no other side lengths- or any lengths at that matter- are give, it is safe to assume that y=4.

4 0

3 years ago

The diagram shows the graph of y = x/2 + 2/x, for 0 < x ≤ 8