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Olin [163]
2 years ago
15

Solve by making a proportion. If seven movie tickets cost $57.40, how much would 5 tickets cost?

Mathematics
1 answer:
emmainna [20.7K]2 years ago
4 0

Answer: $41

work out what one ticket is:

$57.40/7=$8.20

and then multiply by 5

$8.20*5=41

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I can’t figure this out at all, please help me!
Sidana [21]

The Bell Curve aka Normal Distribution aka Gaussian is important stuff that everybody functioning in modern society should understand at least up to the 68-95-99.7 rule.

A normal distribution is characterized by a mean μ and a standard deviation σ.  The distribution has the characteristic bell shape, with the center of the bell at x=μ.  

The value of σ says how wide the bell is.  That's where the 68-95-99.7 rule comes in.  The first value, 68, means that 68% of the area of the bell curve is   contained in plus or minus one standard deviation.  That means there's a 68% chance a random x drawn from this distribution is between μ-σ and μ+σ.

The 95 means that 95% of the area of the bell within two standard deviations of the mean.  A random x has a 95% chance of being between μ-2σ and μ+2σ.

It's the same story for 99.7% except that encompasses everything within three standard deviations of the mean.

Now let's answer the question. We have μ=10, σ=1.5.

a.  We want a 95% probability, which we learned is within two standard deviations, two sigma of the mean.   So the lower bound is 10 - 2(1.5) = 7 and the upper bound is 10 + 2(1.5) = 13.

Answer: 7 to 13

b.  We're asked for 68%; we know that's one sigma, from 10-1.5 to 10+1.5.

Answer: 8.5 to 11.5

4.

μ=72, σ=2

a.

We want P(x < 68)

In general to do these sorts of problems we convert our x test on the particular normal distribution given to a z test on a standard normal distribution with mean zero and standard deviation one.

z = (x - μ)/σ = (68 - 72)/2 = -2

We're interested in P(z < -2), i.e. the probability we landed more than two standard deviations below the mean.  The 68-95-99.7 rules says 95% is between plus or minus two sigma, which leaves 5%, split equally between being less than minus two sigma and more than plus two sigma.

Answer: 2.5%

b.

I forgot to answer part b.  Here we go.

Between 70 and 72 inches is between -1 standard deviation below the mean and the mean.  So we want the area of the bell curve between z=-1 and z=0.   That's half of the 68% that we get when we go from z=-1 to z=1.

Answer: 34%

8 0
3 years ago
Yesterday I ran 5 miles. Today, I ran 3.7 Miles.
Stella [2.4K]

Answer:

percent decrease

26%

Step-by-step explanation:

Yesterday you ran 5 miles

Today you ran 3.7 miles

The amount went down, so the percent decreased

The percent decrease = (original - new)/original * 100 %

                                      = (5-3.7)/5 * 100%

                                      = 1.3/5 * 100 %

                                      =.26 *100%

                                      = 26%

                 

5 0
3 years ago
Read 2 more answers
Write the polynomials in standard form:<br><br> (15–7xy^2)–(y^3–y^2x–15)
stepan [7]
<h3>Answer:</h3>

-y³ -6y²x +30

<h3>Step-by-step explanation:</h3>

When parentheses are eliminated and the y variable placed first in each term, the expression simplifies to ...

... 15 -7y²x -y³ +y²x +15

Arranging like terms together, we have ...

... -y³ +y²x(-7 +1) +(15 +15)

... -y³ -6y²x +30

_____

The two different 3rd-degree terms can be expressed in either order. I have chosen to list the term with the largest exponent first. The expression could also be written with the same-degree terms in "lexicographical order", meaning the expression would be written ...

... -6xy² -y³ +30

7 0
3 years ago
Circle B has a radius of 7.2in. Find the diameter of circle B dilated by a factor of 8.1
Helen [10]
Since the scale factor is greater than 1, this dilation will be an enlargement. Therefore, you multiply 7.2 times 8.1 to get 58.32. This question asks for diameter, so multiply 58.32 times 2 to get 116.64 in.
5 0
3 years ago
En una caja grande hay 9 cajas dentro de cada una de estas cajas hay 5 cajas, dentro de estas hay 3 cajas. ¿Cuántas cajas hay en
Kazeer [188]

Answer:

34 cajas

MANTENTE SALVAJE

8 0
3 years ago
Read 2 more answers
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