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Alina [70]
3 years ago
9

the perimeter of a basketball court is 102 meters, and length is 6 meters longer than twice the width, what r length and width.

what is width _m.
Mathematics
1 answer:
stepladder [879]3 years ago
7 0
Perimeter = 2(l + w)

Thus,

102 = 2(l + w)

l = 6 + 2w

102 = 2( 6 + 2w + w)
102 = 12 + 4w +2 w
102 = 12 + 6w
90 = 6w

Thus, w = 15.

Length = 6 + 2w
= 6 + 30
= 36.

Thus, the length is 36 meters and width is 15 meters.
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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
Determine the exact value of sin 240
iren2701 [21]

simplify : the exact value of sin 240

Explanation: sin(240)=sin(60+180)=-sin60

\begin{gathered} -sin60=-\frac{\sqrt{3}}{2} \\ =-0.87 \end{gathered}

Final answer: the required vaalue of the sin 240 is -0.87

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The equation |p| = 2 represents the total number of points that can be earned or lost during one turn ofa game. Which
amid [387]
-2 or 2 is the answer. The absolute value of 2 is 2 and the absolute value of -2 is 2 because absolute value can not be negative.
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Kitty [74]

Answer:

3rd option

Step-by-step explanation:

A direct variation is expressed in this form:

y = kx

1. y - 4x = 8

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3. y - 3x = 0

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288 divided by 12 = 24
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