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3 years ago

Help Me Plz!!!!!! THX!!!!!!!!!!

Mathematics

1 answer:

Sauron [17]3 years ago

3 0

$\sqrt{5}$ is irrational

A rational number can be expressed in the form

$\frac{a}{b}$ where a, b ∈ Z ( integers )

$\frac{-9}{5}$ is in this form → rational

$\sqrt{5}$ cannot be expressed in this form → irrational

$\frac{7}{3}$ is in this form → rational

$\sqrt{9}$ = ± 3 and $\frac{3}{1}$ , - $\frac{3}{1}$ → rational

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Pschological tests are often used to determine the hostility levels in people. High scores on the HLT pschological test correspo

algol13

Answer: the correct answer is we are 95% confident that there is no statistically significant difference in the mean treatment methods for hostility.

Step-by-step explanation:

1) Test for the equality of variances in the two groups to choose the appropriate t-test.

H0: σ (1)^2 = σ (2)^2

Ha: σ (1)^2 ≠ σ (2)^2

Larger variance = 64

Smaller variance = 49

F = 1.30612

Degrees of freedom 15 and 9

Critical F from the table (with alpha=0.05) = 2.58

Calculated F is smaller than critical F, so we use the pooled variance t-test.

Sample 1 size 7

Sample 2 size 8

Sample 1 mean 79

Sample 2 mean 84

Sample 1 S.D. 7

Sample 2 S.D. 8

Pooled S.D = [(n1-1)s1^2+(n2-1)s2^2]/(n1+n2-2)

Pooled variance s = [(6)(49)+(7)(64))] / (13) = (294+448)/13=742/13=57.076923

Pooled variance s^2 = 57.076923

Standard error of difference in means = sqrt(1/n1+1/n2) times sqrt(s^2)

Standard error of difference in means = (0.517549)(7.554927) = 3.910046 (denominator of t)

Confidence interval = (mean1-mean2) +/- t SE

t is the critical t with 24 degrees of freedom = 2.056

(79 - 84) +/- (2.056) (3.910046)

= (-13.04, 3.04)

Interval encloses 0

We are 95% confident that there is no statistically significant difference in the mean treatment methods for hostility.

4 0

3 years ago

A square has an area of 148.84m2. Work out the perimeter of the square

Lemur [1.5K]

Answer:

48.8m

Step-by-step explanation:

Formula for square area = $a^{2}$ = 148.84 $m^{2}$

=> a = $\sqrt{148.84}$ = 12.2

Formula for square perimeter = 4a = 4 x 12.2 = 48.8 m

8 0

2 years ago

Read 2 more answers

The 200 meter race times at a state track meet are normally distributed with a mean of 13.56 seconds and a standard deviation of

BaLLatris [955]

Answer:

A. 0.4880

Step-by-step explanation:

First, find the z-score:

z = (x − μ) / σ

z = (13.5 − 13.56) / 2.24

z = -0.03

Using a z-score table:

P(z < -0.03) = 0.4880

8 0

3 years ago

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The ratio of the side lengths of a triangle is 10.5 :18 :22.5. The perimeter of the triangle is 408 centimeters. Determine wheth

Elden [556K]

Answer:

Step-by-step explanation:

3 0

3 years ago

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Why are there 27 cubic feet in one cubic yard

kobusy [5.1K]

One cubic yard is equal to 27 cubic feet because one yard is equal to 3 feet

Solution:

Given that, there 27 cubic feet in one cubic yard

Yard and feet are units of distance

1 Yard (yd) is equal to 3 feet (ft). To convert yards to feet, multiply the yard value by 3.

The conversion factor for 1 yard to 1 feet is given as:

$1 \text{ yard } = 3 \text{ foot }$

Now find for 1 cubic yard . Cubic yard means yard raised to power 3

Therefore,

$1\ yard^3 = (3)^3\ feet^3\\\\1\ yard^3 = 27 feet^3\\\\1\ cubic\ yard = 27\ cubic\ feet$

Thus one cubic yard is equal to 27 cubic feet

Therefore, there are 27 cubic feet in one cubic feet

8 0

2 years ago