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3 years ago

Venona is solving the equation-3+4x=9 in order to isolate the variable term

Mathematics

1 answer:

Tcecarenko [31]3 years ago

6 0

Answer:

x = 3

Step-by-step explanation:

-3 + 4x = 9 .... add the 3 over

4x = 12 .... divide by 4

x = 3

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Which answer is the approximate standard deviation of the data set?

Ierofanga [76]

Answer: A. 6.5

Step-by-step explanation:

Here, the given set = { 15, 19 3, 12, 17, 2, 2, 8}

Mean, $\overline{ x} = \frac{15+19+3+12+17+2+2+8}{8} = \frac{78}{8} = 9.75$

Number of elements, n = 8

$\frac{\sum (|x-\overline{x}|)^2}{n}=42.4375$

Thus, the standard deviation, $\sigma =\frac{\sqrt{\sum(|x-\overline{x}|)^2} }{n}=\sqrt{\frac{339.5}{8}}=\sqrt{42.4375} = 6.51440711\approx 6.5$

⇒ Option A is correct.

4 0

3 years ago

Read 2 more answers

Chapter : Circles 1 question

erica [24]

We can solve this question in 2 ways: either using degrees or converting the degrees into radians.

Since, the question says degrees itself and there is no specification of using radians only, so I have solved it using degrees itself.

Part (a):

Perimeter of sector ORS = 2*Radius + Arc RS = 2*21 + $60* \frac{ \pi }{180} *21 = \frac{ \pi }{3} *21 = 7 \pi$

Part (b):

Area of sector ORS = $\frac{60}{360} * \pi * 21^{2} = \frac{1}{6} * \pi *21*21= \frac{147}{2} \pi$

Area of sector POQ = $\frac{36}{360} * \pi * 14^{2} = \frac{1}{10} * \pi * 196 = \frac{196}{10} \pi$

Thus, area of shaded region
= Area of sector ORS - Area of sector POQ

= $\frac{147}{2} \pi - \frac{196}{10} \pi = \frac{735 - 196}{10} \pi = \frac{539}{10} \pi = 53.9 \pi$

5 0

3 years ago

7 pounds of steak cost $10.08. What is the price per ounce

Alexandra [31]

Answer:

1.44

Step-by-step explanation:

You are trying to find what's the price per ounce which is the unit rate to find that out you.You first make a fraction then if it's money put it in the numerator ALWAYS and the 7 in the donomenater then make another fraction put 1 in the donomenater since you are trying to find the unit rate then you think 7 divided by what equals 1 and the answer is 7 because 7 divided by 7 equals 1 so now you know what to divide to 10.08 it's 7 so 10.08 divided by 7 equals 1.44.So the price per ounce is $1.44

6 0

3 years ago

A cyclist is riding from the city to the country. She rides 20 miles each hour. At the beginning of the 1 st hour, she is 10 mil

strojnjashka [21]

Answer:

450miles

Step-by-step explanation:

Because she is riding at 20 miles per houre means that she ride 450 miles in 5 houre.

7 0

2 years ago

Yummy cinnamon! It smells so nice! Mr. Liz needs 5 %2 teaspoons of cinnamon to make one

dusya [7]

Answer:

Step-by-step explanation:

2 loaves × (5½ teaspoons)/loaf = 11 teaspoons

He needs 11 teaspoons of cinnamon to make two loaves.

1/11 of 11 teaspoons = 1 teaspoon

He puts 1 teaspoon of cinnamon into his tea.

5 0

3 years ago