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ki77a [65]
3 years ago
6

The angle of depression from the top of a cliff to an ant on the ground is 35 degrees. If the ant is 280 feet from the base of t

he cliff, how tall is the cliff.
Mathematics
1 answer:
Leno4ka [110]3 years ago
6 0

Answer:

Answer: 315

Step-by-step explanation:

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A national grocery store chain wants to test the difference in the average weight of turkeys sold in Detroit and the average wei
Arte-miy333 [17]

Answer:

<em>Calculated value t = 1.3622 < 2.081 at 0.05 level of significance with 42 degrees of freedom</em>

<em>The null hypothesis is accepted . </em>

<em>Assume the population variances are approximately the same</em>

<u><em>Step-by-step explanation:</em></u>

<u>Explanation</u>:-

Given data a random sample of 20 turkeys sold at the chain's stores in Detroit yielded a sample mean of 17.53 pounds, with a sample standard deviation of 3.2 pounds

<em>The first sample size  'n₁'= 20</em>

<em>mean of the first sample 'x₁⁻'= 17.53 pounds</em>

<em>standard deviation of first sample  S₁ = 3.2 pounds</em>

Given data a random sample of 24 turkeys sold at the chain's stores in Charlotte yielded a sample mean of 14.89 pounds, with a sample standard deviation of 2.7 pounds

<em>The second sample size  n₂ = 24</em>

<em>mean of the second sample  "x₂⁻"= 14.89 pounds</em>

<em>standard deviation of second sample  S₂ =  2.7 poun</em>ds

<u><em>Null hypothesis</em></u><u>:-</u><u><em>H₀</em></u><em>: The Population Variance are approximately same</em>

<u><em>Alternatively hypothesis</em></u><em>: H₁:The Population Variance are approximately same</em>

<em>Level of significance ∝ =0.05</em>

<em>Degrees of freedom ν = n₁ +n₂ -2 =20+24-2 = 42</em>

<em>Test statistic :-</em>

<em>    </em>t = \frac{x^{-} _{1} -  x_{2} }{\sqrt{S^2(\frac{1}{n_{1} } }+\frac{1}{n_{2} }  }

<em>    where         </em>S^{2}   = \frac{n_{1} S_{1} ^{2}+n_{2}S_{2} ^{2}   }{n_{1} +n_{2} -2}

                      S^{2} = \frac{20X(3.2)^2+24X(2.7)^2}{20+24-2}

<em>              substitute values and we get  S² =  40.988</em>

<em>     </em>t= \frac{17.53-14.89 }{\sqrt{40.988(\frac{1}{20} }+\frac{1}{24}  )}<em></em>

<em>  </em>   t =  1.3622

  Calculated value t = 1.3622

Tabulated value 't' =  2.081

Calculated value t = 1.3622 < 2.081 at 0.05 level of significance with 42 degrees of freedom

<u><em>Conclusion</em></u>:-

<em>The null hypothesis is accepted </em>

<em>Assume the population variances are approximately the same.</em>

<em>      </em>

<em>                        </em>

<em>                    </em>

6 0
2 years ago
Simplify this problem::<br> -6x + 3 3/4 + 14x - 3.25
Lynna [10]

Answer:

8x + 1/2 or 8x + 0.5

Step-by-step explanation:

-6x + 3 3/4 + 14x - 3.25

u can either convert the fraction to a decimal or convert the decimal into a fraction, i'm going to do the latter

-6x + 3 3/4 + 14x - 3 1/4

rearrange to make it easier, don't need to do this i'm just doing this for the sake of it

-6x + 14x + 3 3/4 - 3 1/4

8x + 2/4, simplify this

8x + 1/2

The decimal way if u want:

-6x + 3 3/4 + 14x - 3.25

-6x + 3.75 + 14x - 3.25

-6x + 14x + 3.75 - 3.25

8x + 0.5

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3 years ago
A sphere is dilated by a scale factor of 1.5 to create a new sphere. How does the volume of the new sphere compare with the volu
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Hmm, I am pretty sure the answer is A.
7 0
3 years ago
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Mrs. Arnold is serving hamburgers to her family at six tonight for dinner she uses 1/2 pound of ground meat for each hamburger p
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Answer:

Yes

Step-by-step explanation:

1/2 pound= 8 ounces

50/8=6.25

six burgers with some meat leftover.

8 0
2 years ago
Michelle and Natasha each had to repair their new iPhones. The initial cost of each repair is $ 100. Michelle and Natasha each h
worty [1.4K]

Answer:Michelle

And 50

Step-by-step explanation:

6 0
3 years ago
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