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3 years ago

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Mr. Hardy built a fenced-in area for his children in the shape of a square with each side 75 feet in length. Find the distance o

f the diagonal path from one corner to the opposite corner.

1 answer:

8090 [49]3 years ago

3 0

Answer:

75 square root of 2

Step-by-step explanation:

if its a square using 45 45 90 triangle formula it'll be 75 to the the square root of 2

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The waking time of a student under common conditions is normally distributed with mean of 30 hours and a standard deviation of 5

Elina [12.6K]

Answer:

If the walking time is greater than or equal to 38.225 hours, than it exceeds 95% probability that is lie in top 5%.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 30 hours

Standard Deviation, σ = 5 hours

We are given that the distribution of waking time is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.95

$P( X < x) = P( z < \displaystyle\frac{x - 30}{5})=0.95$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 30}{5} = 1.645\\\\x = 38.225$

Thus, if the walking time is greater than or equal to 38.225 hours, than it exceeds 95% probability that is lie in top 5%.

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3 years ago

What is the quotient of 78.3 divided by 3.48

hram777 [196]

78.3/3.48= 22.5

quotient is the result of division. simply divide 78.3 by 3.48 in a calculator and you get your answer.

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3 years ago

Read 2 more answers

A bag contains 2 red, 5 blue, and 3 green marbles. A marble is chosen at random. What is the probability of NOT choosing a red m

Lapatulllka [165]

Step-by-step explanation:

Number of red = 2
Number of blue = 5
Number of green = 3

total number of marbles = 10

<h3>probability of not choosing a red marble = 1--choosing a red marble.</h3>

<u>Because</u><u> </u><u>probability</u><u> </u><u>is</u><u> </u><u>always</u><u> </u><u>one</u><u>(</u><u>1</u><u>)</u><u>.</u>

<em>Probability</em><em> </em><em>=</em>

<em> $1 - \frac{2}{10}$ </em>

<em> $\frac{8}{10}$ </em>

<em> $\frac{4}{5}$ </em>

<em>Is</em><em> </em><em>the</em><em> </em><em>probability</em><em> </em><em>of</em><em> </em><em>not</em><em> </em><em>choosing</em><em> </em><em>a</em><em> </em><em>red</em><em> </em><em>marble</em><em>.</em>

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2 years ago

What is the slope of the line represented by the equation y = y equals 4 Over 5

OLEGan [10]

$\bf y= \stackrel{\stackrel{m}{\downarrow }}{\cfrac{4}{5}}x-3\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}$

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3 years ago

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a car travels along a straight road heading east for one hour, then traveling for 30 minutes on another road that leads northeas

My name is Ann [436]

Answer:

55.96 miles

Step-by-step explanation:

Distance = Speed X time

Car first moved east for 1 hr , distance = 40 x 1 = 40 miles

Car then moved north-east for 30 min, distance = 40 x 0.5 = 20 miles

From trigonometry,

sin 45 = $\frac{y}{20}$ ; y = 20 sin 45 ; y= 14.14 miles

cos 45 = $\frac{x}{20}$ ; x = 20 cos 45 ; x = 14.14 miles

using Pythagoras theorem;

$z^{2}$ = $y^{2}$ + $(40+x)^{2}$

= $14.14^{2}$ + $(40+14.14)^{2}$

= 3131.08

$z^{2}$ = $\sqrt{3131.08}$

z = 55.96 miles

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3 years ago