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1 year ago

15

The perimeter of a rectangle is 286 meters. Find the length and width if the length is an integer and the width is 5 times the n

ext consecutive integer.

1 answer:

Andreyy891 year ago

6 0

Answer:

See below

Step-by-step explanation:

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The heights of 18-year-old men are approximately normally distributed with mean 68 inches and standard deviation 3 inches. What

Nutka1998 [239]

Answer:

The probability that an 18-year-old man selected at random is greater than 65 inches tall is 0.8413.

Step-by-step explanation:

We are given that the heights of 18-year-old men are approximately normally distributed with mean 68 inches and a standard deviation of 3 inches.

Let X = <u><em>heights of 18-year-old men.</em></u>

So, X ~ Normal( $\mu=68,\sigma^{2} =3^{2}$ )

The z-score probability distribution for the normal distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = mean height = 68 inches

$\sigma$ = standard deviation = 3 inches

Now, the probability that an 18-year-old man selected at random is greater than 65 inches tall is given by = P(X > 65 inches)

P(X > 65 inches) = P( $\frac{X-\mu}{\sigma}$ > $\frac{65-68}{3}$ ) = P(Z > -1) = P(Z < 1)

= <u>0.8413</u>

The above probability is calculated by looking at the value of x = 1 in the z table which has an area of 0.8413.

6 0

2 years ago

How do I work out this question ??

djyliett [7]

Well read the story part of your paragraph. You need to cut out all of the extra stuff and focus on how fast they are going. Then make a chart symbolizing this to find where they directly meet:) If you are able submit the chart with your answer

6 0

2 years ago

Simplify and express the result in power notation with positive exponent

Molodets [167]

Answer:

3²

Step-by-step explanation:

Given expression:

$\sf (3^{-3} \div 3^{-10}) \times 3^{-5}$

Following the <u>order of operations</u>, carry out the calculations inside the parentheses first.

$\textsf{Apply the quotient exponent rule} \quad a^b \div a^c=a^{b-c}:$

$\implies \sf 3^{-3-(-10)} \times 3^{-5}$

$\implies \sf 3^{-3+10} \times 3^{-5}$

$\implies \sf 3^{7} \times 3^{-5}$

$\textsf{Apply the product exponent rule} \quad a^b \times a^c=a^{b+c}:$

$\sf \implies 3^{7+(-5)}$

$\sf \implies 3^{7-5}$

$\sf \implies 3^2$

Learn more about exponent rules here:

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brainly.com/question/24947526

4 0

1 year ago

Read 2 more answers

This question is too hard

Aleonysh [2.5K]

Answer:

7.50 is the answer to the question

4 0

2 years ago

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Find the image of triangle GHJ under the translation of (X,Y) ——> ( x-1, y-8)

MAVERICK [17]

Answer:

triangle KLM

Step-by-step explanation:

Take one point on the initial triangle and move it according to the given translation to locate the image. I used point G. Its coordinate plot is at

(2,3). I perform the operation of the given translation to this. (X1-X2, y1-y2).

So, (2-1, 3-8). The new coordinates will be (1,-5) and the only triangle with these coordinates is triangle KLM.

8 0

2 years ago

Read 2 more answers