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3 years ago

Are natural numbers, whole numbers and integers also rational numbers

Mathematics

1 answer:

Studentka2010 [4]3 years ago

5 0

Answer:

yes they are rational

Step-by-step explanation:

in mathematics rule numbers that are positive are usually in rational form❤

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3) Which ordered pair is a solution to the linear

Rudiy27

Answer:

Step-by-step explanation:

2(6)-3(4)=0<9

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3 years ago

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City health officials will conduct a two-sample t-test for a difference in means to investigate whether

Anvisha [2.4K]

Answer:

The calculated value t = 2.366 > 2.0301 at 0.05 level of significance

The null hypothesis is rejected

There is a difference between the means

Step-by-step explanation:

Step(i):-

Given that the first sample size 'n₁' = 22

Given that the mean of the first sample x₁⁻ = 120

Given that the standard deviation of the sample (s₁) = 20

Given that the mean of the second sample x₂⁻ = 100

Given that the standard deviation of the second sample (S₂) = 30

Step(ii):-

T-test statistic

$t = \frac{x^{-} _{1} -x^{-} _{2} }{\sqrt{S^{2} (\frac{1}{n_{1} }+\frac{1}{n_{2} } ) } }$

where

$S^{2} = \frac{n_{1} S_{1} ^{2}+n_{2} S_{2} ^{2} }{n_{1} +n_{2}-2 }$

$S^{2} = \frac{22( 20)^{2}+ 15(30) ^{2} }{22 +15-2 }$

S² = 637.1428

S = √637.1428 = 25.24168

The standard deviation of the sample 'S' = 25.24168

Step(iii):-

Null Hypothesis:H₀:

There is no difference between the means

Alternative Hypothesis:H₁:

There is a difference between the means

T-test statistic

$t = \frac{x^{-} _{1} -x^{-} _{2} }{\sqrt{S^{2} (\frac{1}{n_{1} }+\frac{1}{n_{2} } ) } }$

$t = \frac{ 120 -100 }{\sqrt{637.14 (\frac{1}{22 }+\frac{1}{15 } ) } }$

t = 2.366

Degrees of freedom

γ = n₁+n₂ -2 = 22+15-2 = 35

t₀.₀₅ = 2.0301

The calculated value t = 2.366 > 2.0301 at 0.05 level of significance

The null hypothesis is rejected

There is a difference between the means

3 0

3 years ago

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Ned walks 6 tenths of a mile to school.Fred walks 9 tenths of a mile to school.who walks farther?.Explain

FromTheMoon [43]

Fred. .9 is larger than .6 therefore, Fred walked a longer distance.

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3 years ago

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Hi I have a few questions their pretty easy :, its worth all my points you get brainliest if I pass.

statuscvo [17]

Answer:

Step-by-step explanation:

1. chickenpox

2. toxins

3.antibodies

4.pancrease

5. immunization

6. Insulin

7. viruses

8. antibodies

9. environmental

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3 years ago

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Area of the circle attachment below

Galina-37 [17]

Answer:

Area of the circle = 49 π cm² = 153.86cm²

Step-by-step explanation:

Given that the diameter of the circle

d = 14

The radius of the circle

$r = \frac{d}{2} = \frac{14}{2} = 7$

Area of the circle

A = πr²

A = 3.14 ×(7)²

A = 153.86 cm²

4 0

3 years ago