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3 years ago

Apply the Distributive Property to Simplify the Expression 3(36)

Mathematics

2 answers:

Akimi4 [234]3 years ago

7 0

Answer:

108

Step-by-step explanation:

Molodets [167]3 years ago

7 0

3(36)=3(30+6)=90+18=108

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A school authority claims that the average height of students is 178 cm. A researcher has taken a well-designed survey and his s

Hunter-Best [27]

Answer:

d) The difference exists due to chance since the test statistic is small

Step-by-step explanation:

From the given information:

Population mean = 178 cm

the sample mean = 177.5 cm

the standard deviation = 2

the sample size = 25

The null hypothesis and the alternative hypothesis can be computed as:

Null hypothesis:

$H_o: \mu = 178$

Alternative hypothesis:

$H_1: \mu \neq 178$

The t-test statistics is determined by using the formula:

$t = \dfrac{X - \mu}{\dfrac{\sigma}{\sqrt{n}}}$

$t = \dfrac{177.5 - 178}{\dfrac{2}{\sqrt{25}}}$

$t = \dfrac{-0.5}{\dfrac{2}{5}}}$

$\mathbf{t= -1.25}$

Degree of freedom df = n- 1

Degree of freedom df = 25 - 1

Degree of freedom df = 24

At the level of significance ∝ = 0.05, the critical value = 2.064

Decision rule: To reject the null hypothesis if the test statistics is greater than the critical value at 0.05 level of significance

Conclusion: We fail to reject the null hypothesis since the test statistics is lesser than the critical value and we conclude that the difference exists due to chance since the test statistic is small

5 0

3 years ago

What is the end of your proof? (What are you proving?)

AnnyKZ [126]

Answer

with

Step-by-step explanation:

Statement Reasons

1.∠1 ≅ 4 Given

2.∠1 = ∠2 Being Vertically opposite angles.

3.∠4 = ∠3 Being Vertically opposite angles.

4.∠2 = 3 From Statement no 2 & 3, Transitive property.

5.∠2 ≅ 3 From Statement 4

Proved.

6 0

2 years ago

the number cubes the Fifth grade math classes use are packed into a box. when the box is full, it has 5 rows of 4 cubes with 6 l

densk [106]

4x5=20. 20x6=120. 120-20=100 b)100

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3 years ago

Read 2 more answers

Rationalize the denominator of 4/14 root 2?

Katarina [22]

First of all, you can simplify the 4 at the numerator and the 14 at the denominator (they're both multiple of 2):

$\dfrac{4}{14\sqrt{2}} = \dfrac{2\cdot 2}{2\cdot 7\cdot\sqrt{2}} = \dfrac{2}{7\sqrt{2}}$

Now, rationalize a denominator means that you have to get rid of the square root, in order to have an integer denominator.

To do so, remember that you can always multiply any number by 1 without changing its value, and you can always think of 1 as a fraction where numerator and denominator are equal:

$\dfrac{2}{7\sqrt{2}} = \dfrac{2}{7\sqrt{2}}\cdot 1 = \dfrac{2}{7\sqrt{2}} \cdot \dfrac{\sqrt{2}}{\sqrt{2}} = \dfrac{2\sqrt{2}}{7\cdot 2} = \dfrac{\sqrt{2}}{7}$

5 0

3 years ago

Number one solve sin l and tan n cos l and sin n

const2013 [10]

Sin L= 3/5

Tan N= 3/5

Cos L=4/5

Sin N=4/5

5 0

3 years ago