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WARRIOR [948]
3 years ago
6

Solve. Enter your answer as a mixed number. The driving distance from the sports arena to Kristina's house is 11 7 10 miles. The

distance from the sports arena to Luke's house is 5 2 10 miles. How much greater is the driving distance between the sports arena and Kristina's house than between the sports arena and Luke's house? The driving distance between the sports arena and Kristina's house is miles greater than between the sports arena and Luke's house.
Mathematics
1 answer:
sineoko [7]3 years ago
3 0

Answer: 6\frac{1}{2} miles

Step-by-step explanation:

From the sports arena to Kristina's house = 11\frac{7}{10}miles

From the sports arena to Luke's house = 5\frac{2}{10} miles

Subtract Luke from Kristina

5\frac{2}{10}-11\frac{7}{10}

There's a confusing but easy way to solve this. However, I'm going to convert into improper fractions to make it easier.

To convert to improper fraction, take the whole number, multiply it by the denominator and add it to the numerator. All over the same denominator.

\frac{5*10+2}{10} -\frac{11*10+7}{10}

\frac{50+2}{10}-\frac{110+7}{10}\\\frac{52}{10}-\frac{117}{10}

Subtract them.

\frac{52-117}{10}

-\frac{65}{10}

Convert to mixed number by dividing.

65/10=6

60

----

5

The 6 is the whole number, 5 the numerator and 10 the denominator. Remember the negative sign that we had.

6\frac{5}{10}

5 and 10 can be simplified

5/5=1

10/5=2

Our final answer would be:

6\frac{1}{2}

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manufacturing company produces digital cameras and claim that their products maybe 3% defective. A video company, when purchasin
alexdok [17]

Answer:

P(X>17) = 0.979

Step-by-step explanation:

Probability that a camera is defective, p = 3% = 3/100 = 0.03

20 cameras were randomly selected.i.e sample size, n = 20

Probability that a camera is working, q = 1 - p = 1 - 0.03 = 0.97

Probability that more than 17 cameras are working P ( X > 17)

This is a binomial distribution P(X = r) nCr q^{r} p^{n-r}

nCr = \frac{n!}{(n-r)!r!}

P(X>17) = P(X=18) + P(X=19) + P(X=20)

P(X=18) = 20C18 * 0.97^{18} * 0.03^{20-18}

P(X=18) = 20C18 * 0.97^{18} * 0.03^{2}

P(X=18) = 0.0988

P(X=19) = 20C19 * 0.97^{19} * 0.03^{20-19}

P(X=19) = 20C19 * 0.97^{19} * 0.03^{1}

P(X=19) = 0.3364

P(X=20) = 20C20 * 0.97^{20} * 0.03^{20-20}

P(X=20) = 20C20 * 0.97^{20} * 0.03^{0}

P(X=20) = 0.5438

P(X>17) = 0.0988 + 0.3364 + 0.5438

P(X>17) = 0.979

The probability that there are more than 17 working cameras should be 0.979 for the company to accept the whole batch

6 0
3 years ago
A line with a slope of 4 passes through the point (2, 1). What is the equation of this line?
olasank [31]

Answer:

point slope form: y - 1 = 4 (x -2)

slope intercept form: y = 4x -7

Step-by-step explanation:

If you want it in point slope form it would be: y - 1 = 4 (x -2)

but if you want it in slope intercept form, you solve this equation

y -1 = 4 (x-2)

y-1 = 4x -8

 +1          +1

y = 4x -7 in slope intercept form

7 0
2 years ago
Of the 220 tickets available for a school play, 45% have been sold.
Pie

Answer:

A.

Step-by-step explanation:

Hope this helps and have a great day!!!!

6 0
3 years ago
Read 2 more answers
5.1) A piece of fish, initially of mass 2.4 kg, is cooked and subsequently has mass 2.1 kg.
Oduvanchick [21]

Answer:

12.5 % decrease

Step-by-step explanation:

To find the percent loss

Take the original amount and subtract the new amount

2.4 -2.1 = .3

Divide by the original amount

.3/2.4 = .125

Multiply by 100 to change to a percent

12.5 %

This is the percent decrease

5 0
3 years ago
The difference between 4/9 of a number and 7 is 5
vodomira [7]

first what quantities do we need to talk about?

the problem speaks of “a number”, let’s call that number x.

now write the equation that relates x to the other numbers we know.

the first clue is the word “difference”.

this means “subtraction”, but we need to subtract something from something else.

what are the two somethings? ”a number times 7” and “4”.

so, since we have a name for “a number”, let’s translate this as x*7 - 4 what else do we know?

it says the difference is 9. So complete the equation x*7 - 4 = 9 if we rewrite this cosmetically, 7x - 4 = 9

i assume that you know how to solve this for x.

so then wehn solving 7x - 4 =9 we take -4 change it to +4 so then +9 we go and get 13

7x = 13

7/7 = 13/7

x=  13/7

8 0
3 years ago
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