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4 years ago

Simplify the expression. (m^2n^-5)/m^7n^-17

1 answer:

4 0

$\dfrac{m^2n^{-5}}{m^7n^{-17}}=m^{2-7}n^{-5-(-17)}=m^{-5}n^{-5+17}=m^{-5}n^{12}\\\\=\dfrac{n^{12}}{m^5}\\\\Used:\\\\\dfrac{a^n}{a^m}=a^{n-m}\\\\a^{-n}=\dfrac{1}{a^n}$

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The probability of giving birth to a boy is 50%. find the probability that at most there are 3 boys out of 10 births.

SVETLANKA909090 [29]

S=Sample Space
n(S)=no. of total outcomes of sample space
= 50%×10=5
n(E)=no. of favourable events=3
Probability of giving birth to boy is,
P(B)=n(E)/n(S)
=3/5....Ans

5 0

3 years ago

If the length of one of the legs of a right triangle is 10 and the length of the other leg is 24 what is the length of the hypot

Nikitich [7]

The hypotenuse is 26

6 0

4 years ago

Look at the student work shown below.

cluponka [151]

Alrighty, so you said, simplify: 4t (2s - 7)

When there is a variable or number outside of the parenthesis, it means that it wants the whole thing multiplied by that number.

So, your right way to do this is:

4t (2s) + 4t (-7)

Simplify.

8st - 28t

So, the student incorrectly simplified them because she didn't multiply -7 by 4t like they should have.

~Hope I helped!~

4 0

3 years ago

Read 2 more answers

A cellular telephone tower that is 150 feet tall is placed on top of a mountain that is 1200 feet above sea level. What is the a

sveta [45]

Answer:

angle of depression = 2.1⁰

Step-by-step explanation:

1 mile = 5280 ft

Hence angle of depression = 90 - ∅

Where ∅ is angle of depression

Tan ∅ = (5 x 5280)/ 950

∅ = Tan₋¹ (27.789474) = 87.9⁰

Hence angle of depression = 90 - 87.9 = 2.1⁰

5 0

3 years ago

Read 2 more answers

A quality control specialist at a pencil manufacturer pulls a random sample of 45 pencils from the assembly line. The pencils ha

kodGreya [7K]

Answer:

The p-value you would use to test the claim

p -value = 0.007

Step-by-step explanation:

Step(i):-

Given random sample size 'n' = 45

Mean of the Population = 18.0 c.m

Standard deviation of the Population(S.D) = 0.25 c.m

Mean of the sample = 17.9 c.m

Null hypothesis :-

H₀ : μ = 18.0 c.m

Alternative Hypothesis:

H₁ : μ ≠ 18.0 c.m

Test statistic

$Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }$

$Z = \frac{17.9-18 }{\frac{0.25}{\sqrt{45} } } = -2.688$

|Z| = |-2.688|

|Z| = 2.688≅ 2.7

Step(ii):-

P -value :-

The z-test statistic value = 2.7

P( Z>2.7) = 1- P(Z< 2.7)

= 1- ( 0.5+ A(2.7))

= 0.5 - A(2.7)

= 0.5 - 0.4965

= 0.0035

P( Z>2.688)= 0.0035

Given data is two tailed test

2 X P( Z>2.688) = 2 X 0.035 = 0.007

P-value = 0.007

we will choose level of significance ∝=0.05

P -value < 0.05

H₀ is rejected

Alternative Hypothesis is accepted

Final answer:-

The population mean of pencils produced in that factory have a mean length is not equal to 18.0 cm.

7 0

3 years ago