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3 years ago

Please help it due in a lil bit please and thank u

Mathematics

1 answer:

vladimir2022 [97]3 years ago

8 0

Answer:

D. 13.9

Step-by-step explanation:

Find the missing side

$sin(60)= \frac{x}{16}$

x = 16 × $sin(60)$

x = 13.9

It is sin because its opposite over hypotenuse

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Jenna has bought a new hybrid car. Each week for a period of seven weeks, she has noted the fuel efficiency (in miles per gallon

Leviafan [203]

Answer: 0.82 miles per gallon

Step-by-step explanation:

Given : Jenna has bought a new hybrid car. Each week for a period of seven weeks, she has noted the fuel efficiency (x) (in miles per gallon) of her car.

The results are :45 44 43 44 45 44 43

The formula to find the standard deviation is given by :-

$\sigma=\sqrt{\dfrac{\sum_{i=1}^n(x_i-\overline{x})^2}{n-1}}$

First we find mean of the given data ,

$\overline{x}=\dfrac{\sum^n_{i=1}x_i}{n}\\\\=\dfrac{45+44+43+44+45+44+43}{7}=\dfrac{308}{7}=44$

Now,

${\sum_{i=1}^n(x_i-\overline{x})^2=(1)^2+(0)^2+(-1)^2+(0)^2+(1)^2+(0)^2+(-1)^2$

$=1+1+1+1=4$

Now, standard deviation of the above results will be :-

$\sigma=\sqrt{\dfrac{4}{7-1}}\\\\=\sqrt{\dfrac{4}{6}}\\\\=\dfrac{2}{\sqrt{3}}=0.816496580928\approx0.82$

Hence, the standard deviation of these results = 0.82 miles per gallon

8 0

4 years ago

The Candle Factory is producing a new candle. It has a radius of 3 inches and a height of 5 inches. What is the surface area of

garik1379 [7]

Answer:

87.92 square inches

Step-by-step explanation:

Surface area for cylinder is given by $2\pi r^2 + 2\pi rh$

where r is the radius and h is the height of cylinder.

Given that candle is cylindrical in shape

Thus, Surface area for candle is calculated as given below\\

$Surface / area \ for \ candle = 2\pi r^2 + 2\pi rh\\=>Surface / area \ for \ candle = 2*3.14*3^2 + 2*3.14*5\\=>Surface / area \ for \ candle = 2*3.14*3^2 + 2*3.14*5 = 56.52 + 31.4\\=>Surface / area \ for \ candle = 56.52 + 31.4 = 87.92$

Thus, total surface area for candle is 87.92 square inches.

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3 years ago

Staff from the school newspaper is taking a poll to find out how students in the school are going to vote in the upcoming electi

Schach [20]

what are the options

4 0

3 years ago

Read 2 more answers

Help picture below problem 19

frutty [35]

Answer:

I think the amswer is C not 100% shere

Step-by-step explanation:

6 0

2 years ago

Please help me with this question

mihalych1998 [28]

Answer:

John and Pam are paid $8.5 for each hour worked. John's share of the money is $29.75.

Step-by-step explanation:

Let x = the hourly salary. John worked for 3.5 hrs, and Pam for two. We can represent this using the equation:

3.5x + 2x = 46.75, where the coefficients equals the amount of hours.

Let's solve for x!

5.5x=46.75

x = 46.75/5.5 = 17/2 = 8.5

John and Pam are paid 8.5 dollars per each hour worked.

To figure out John's share of the money, we will multiply the wage by the hours he worked.

8.5 x 3.5 = 29.75

8 0

3 years ago