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3 years ago

What does this symbol mean "⊥" ?

Mathematics

2 answers:

Lunna [17]3 years ago

7 0

Answer:

perpendicular to

Step-by-step explanation:

givi [52]3 years ago

6 0

Answer:

The symbol ⊥ means is perpendicular to

Step-by-step explanation:

(brainliest)

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A group of eight individuals with high cholesterol levels were given a new drug that was designed to lower cholesterol levels. C

noname [10]

Answer:

Step-by-step explanation:

The data in the question is not well arranged. The correct arrangement is:

Before After difference

283 215

299 206

274 187

284 212

248 178

275 212

293 192

277 196

Solution:

a) This is a matched pair design/experiment. This is so because the measurement of cholesterol levels were carried out on the same individuals.

b) Corresponding cholesterol levels before and after treatment form matched pairs.

The data for the test are the differences between the cholesterol levels before and after treatment.

μd = cholesterol level before treatment minus cholesterol level after treatment.

Before After difference

283 215 68

299 206 93

274 187 87

284 212 72

248 178 70

275 212 63

293 192 101

277 196 81

Sample mean, xd

= (68 + 93 + 87 + 72 + 70 + 63 + 101 + 81)/8 = 79.4

xd = 79.4

Standard deviation = √(summation(x - mean)²/n

n = 8

Summation(x - mean)² = (68 - 79.4)^2 + (93 - 79.4)^2 + (87 - 79.4)^2 + (72 - 79.4)^2 + (70 - 79.4)^2 + (63 - 79.4)^2 + (101 - 79.4)^2 + (81 - 79.4)^2 = 1253.88

Standard deviation = √(1253.88/8)

sd = 12.52

For the null hypothesis

H0: μd ≥ 0

For the alternative hypothesis

H1: μd < 0

This is a one tailed test(left tailed test)

The distribution is a students t. Therefore, degree of freedom, df = n - 1 = 8 - 1 = 7

The formula for determining the test statistic is

t = (xd - μd)/(sd/√n)

t = (79.4 - 0)/(12.52/√8)

t = 17.94

We would determine the probability value by using the t test calculator.

p < 0.00001

4) Assume alpha = 0.05

Since alpha, 0.05 > than the p value, then we would reject the null hypothesis. Therefore, at 5% level of significance, we cannot conclude that the mean cholesterol level after treatment is less than the mean before treatment.

6 0

4 years ago

the point (4,5) is translated two units left and eight units down. what is the y-coordinate of the image?

VashaNatasha [74]

The new coords are (2,-3) the new y coord is -3

6 0

3 years ago

Read 2 more answers

What is the slope of a line parallel to (y=-3x-6)?

EleoNora [17]

Y equals 4x-2 that is my awnser

4 0

3 years ago

The average systolic blood pressure was found to be 140 mm for people who have high responsibility jobs, specifically investment

defon

Answer:

t = -1.428

Step-by-step explanation:

Average blood pressure among people with high responsibility jobs = u = 140 mm

Number of people sampled for the study = n = 51

Average blood pressure of the sample = x = 139 mm

Standard deviation of the sample = s = 5 mm

The claim is that practicing yoga decreases the blood pressure. So we have to test that after practicing yoga, the average blood pressure will be lesser than 140. Based on this we can formulate the null and alternate hypothesis as:

Null Hypothesis: $\mu \geq 140$

Alternate Hypothesis: $\mu < 140$

Since population standard deviation is not known, we cannot use z-distribution for this test. We are given the value of sample standard deviation, so t-test will be used for this case.

Test statistic is calculated as:

$t=\frac{x-u}{\frac{s}{\sqrt{n} } }$

Using the values in this formula gives us:

$t=\frac{139-140}{\frac{5}{\sqrt{51}}}\\\\ t=-1.428$

Therefore, the value of test statistic is -1.428

4 0

3 years ago

What is the value of x? 45° 2 (2x - 5) > n

Vladimir [108]

Answer:

70 degrees

Step-by-step explanation:

Find the diagram attached

The sum of the angles is supplementary that is

45 + 2x- 5 = 180

2x + 40 = 180

2x = 180 - 40

2x = 140

x = 140/2

x = 70

Hence the value of x is 70 degrees

4 0

3 years ago