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3 years ago

Which shows how we could find the area of a rug that is 6 ft on one side and 3 1/2 ft on the other side?

Mathematics

2 answers:

alex41 [277]3 years ago

3 0

I believe the answer is the last option

hope that helps, God bless!

Anna11 [10]3 years ago

3 0

Think it’s the last one

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Convert -18° to radians.

aev [14]

The answer is 0.314 radian

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3 years ago

Read 2 more answers

A statistics practitioner in a large university is investigating the factors that affect salary of professors. He wondered if ev

uysha [10]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The null hypothesis is $H_o : \beta_1 = 0$

The alternative hypothesis is $H_1 : \beta_1 \ne 1$

Step-by-step explanation:

From the question we are told that

The number observations is $n = 100$

The annual salary (in dollars) is y

The mean score on teaching evaluation is x

The the relationship between the y and x is

$y = \beta_0 + \beta _1 x + \epsilon$

Where $\beta _1$ is the mean of the equation so

The null hypothesis is $H_o : \beta_1 = 0$

The alternative hypothesis is $H_1 : \beta_1 \ne 1$

6 0

3 years ago

For an arithmetic sequence, a35=57. If the common difference is 5. Find a1 and the sum of the first 61 terms.

Flauer [41]

$\displaystyle\bf\\a_{35}=57\\r=5\\----\\a_1=?\\S_{61}=?\\----\\Solve:\\1)\\a_1=a_{35}-(35-1)\times r=57-34\times 5=57-170=-113\\\boxed{\bf a_1=-113}\\\\$

$\displaystyle\bf\\2)\\A_{61}=a_1+(61-1)\times r=-113+60\times5=-113+300=187\\\\S_{61}=(-113)+(-108)+(-103)+...+(-8)+(-3)+2+7+12+...+187\\\\S_{61}=SA+SB\\\\SA=(-113)+(-108)+(-103)+...+(-8)+(-3)=-(3+8+103+108+113)\\\\n=\frac{113-8}{5}+1=\frac{105}{5}+1=21+1=22~terms\\SA=-\Big( \frac{n(113+3)}{2} \Big)=-\Big( \frac{22\times116}{2} \Big)=-11\times116 =-1276$

$\displaystyle\bf\\SB=2+7+12+...+187\\\\n=\frac{187-2}{5}+1=\frac{185}{5}+1=37+1=38~terms\\\\SB=\frac{n(187+2)}{2}=\frac{38\times189}{2}=19\times189=3591\\\\S_{61}=SA+SB=-1276+3591=2315\\\\\boxed{\bf S_{61}=2315}$

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3 years ago

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zimovet [89]

Answer: ( − 2) ( + 9)

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3 years ago

What is the volume of a ball with a diameter of 7 centimeters?

Leviafan [203]

42.88. You might want to wait for another answer jyst to be 100% sure:)

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