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Stels [109]
2 years ago
14

Ellie bought snacks for her team's practice. She bought a bag of popcorn for $3.47 and a 10-pack of juice bottles. The total cos

t before tax was $23.47. Write and solve an equation which can be used to determine jj, how much each bottle of juice costs.
Mathematics
1 answer:
Usimov [2.4K]2 years ago
4 0

b = juice bottle price

\stackrel{\textit{one bag of popcorn}}{3.47} + \stackrel{\textit{10 juice bottles}}{10b} = \stackrel{\textit{before tax}}{23.47} \\\\\\ 10b = 23.47-3.47\implies 10b = 20\implies b=\cfrac{20}{10}\implies \stackrel{\textit{two bucks}}{b = 2}

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The horizontal distance between two towers is 70m. The angle of depression of the top of the first tower when seen from the top
lana66690 [7]
As shown in the image, we have a 30 degree angle and x, which is what we want. By doing tan30, we can find x, so tan30=x/70 and 70*tan30=x= 70*sqrt(3)/3. 120-x=height of first tower = 120-(70*sqrt(3)/3) = roughly 79.59

7 0
3 years ago
About 9% of the population has a particular genetic mutation. 900 people are randomly selected. Find the standard deviation for
timama [110]

Answer:

The standard deviation is of 8.586.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have a genetic mutation, or they do not. The probability of a person having the mutation is independent of any other person, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

About 9% of the population has a particular genetic mutation.

This means that p = 0.09

900 people are randomly selected.

This means that n = 900

Find the standard deviation for the number of people with the genetic mutation in such groups of 900.

\sqrt{V(X)} = \sqrt{900*0.09*0.91} = 8.586

The standard deviation is of 8.586.

3 0
2 years ago
A circle had a sector with area 33pi and central angle of 11/6pi radians
MissTica

Answer:

The area of the circle is 36\pi\ units^{2}

Step-by-step explanation:

we know that

The area of a circle subtends a central angle of 2\pi radians

so

By proportion find the area of the circle

\frac{33\pi }{(11\pi /6)}=\frac{x}{2\pi}\\ \\ x=2\pi*( 33*6)/11\\ \\x=36\pi\ units^{2}

3 0
3 years ago
Read 2 more answers
(8,6) for 2 + y = x and -2y + 20 = x <br> Can someone help me please.
ehidna [41]

Answer:

3939π

Step-by-step explanation:

The new system is not the only one who thinks that he was a member of the American to the right of way of the most important things in life is to make sure the first half of an old friend who was in the the ↕️

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2 years ago
Pythagorean Theorem
Elina [12.6K]

Answer:

? = 13. 35

Step-by-step explanation:

By using Pythagorean Theorem

H² = P² + B ²

=> 17² = P² + 10²

=> 289 = P² + 100

=> 289 - 100 = P²

=> 189 = P²

=> √189 = P

or P = 13.75

3 0
1 year ago
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