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3 years ago

15

Jesse finished the first race in two minutes and seven seconds. Tim finished 12 seconds faster than Jesse. Juan finish eight sec

onds faster then Tim. How long did it take Juan to finish.

1 answer:

Alex777 [14]3 years ago

6 0

Answer: Juan finished the race with 2 mins and 11 seconds

Step-by-step explanation:

2:07 + 12 = 2:19

2:19 - 8 = 2:11

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Use the following information to determine your answer: The length of a movie falls on a normal distribution. About 95% of movie

Elenna [48]

Answer:

$75= 119 -1.96 \sigma$

$\sigma = \frac{75-119}{-1.96}= 22.45$

And tha's equivalent to use this formula:

$163= 119 +1.96 \sigma$

$\sigma = \frac{163-119}{1.96}= 22.45$

Step-by-step explanation:

For this case the 95%of the values are between the following two values:

(75 , 163)

And for this case we know that the variable of interest X "length of a movie" follows a normal distribution:

$X \sim N( \mu, \sigma)$

We can estimate the true mean with the following formula:

$\mu = \frac{75+163}{2}= 119$

Now we know that in the normal standard distribution we know that we have 95% of the values between 1.96 deviations from the mean. We can find the value of the deviation with this formula:

$75= 119 -1.96 \sigma$

$\sigma = \frac{75-119}{-1.96}= 22.45$

And tha's equivalent to use this formula:

$163= 119 +1.96 \sigma$

$\sigma = \frac{163-119}{1.96}= 22.45$

4 0

3 years ago

Help me please! Find the value of x.

Lilit [14]

X+16 + 3x+2 = 90
4x+18=90
4x=72
X=18

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3 years ago

Frands collects marbles. In her collection are:

Vilka [71]

Answer:

Step-by-step explanation:

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3 years ago

enot [183]

Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other

Given the functions expressed as:

$h(x) =\sqrt{2x+2}\\g(x)\frac{x^2-2}{2} \\$

In order to check whether they are inverses of each other, we need to show that h(g(x)) = g(h(x))

Get the composite function h(g(x))

$h(g(x))=h(\frac{x^2-2}{2} )\\h(g(x))=\sqrt{2(\frac{x^2-2}{2} )+2}\\h(g(x))=\sqrt{x^2-2+2} \\h(g(x))=\sqrt{x^2}\\h(g(x))=x$

Get the composite function g(h(x))

$g(h(x))=\frac{(\sqrt{2x+2} )^2-2}{2} \\g(h(x))=\frac{2x+2-2}{2}\\g(h(x))=\frac{2x}{2}\\g(h(x))=x$

Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other

Learn more on inverse functions here; brainly.com/question/14391067

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2 years ago

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Karen earns $5 by delivering newspapers each week. She saves $3 and she spends the rest. How many weeks will it take her to save

8090 [49]

Answer:

12 Weeks.

( Is this what you were asking for? <3 )

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3 years ago