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lisabon 2012 [21]
3 years ago
15

A rock climber climbs at a rate of 720 feet per hour. Write and solve an equation to find the number of minutes m it takes for t

he rock climber to climb 288 feet.
Mathematics
1 answer:
Lorico [155]3 years ago
7 0

Answer:

The equation is <em>y</em>=12<em>x</em>. It takes 24 minutes for the rock climber to get to 288 feet.

Step-by-step explanation:

Since we know there are 60 minutes in an hour, we can divide 720 by 60. This gives us 12. Therefore, for every minute, the rock climber gets 12 feet higher. Assuming <em>y </em>is the height in feet, and <em>x</em> is the time in minutes, we can create the equation <em>y</em>=12<em>x</em>. Now, to find how long it takes to get to 288 feet, we will substitute y with 288.

288=12<em>x</em>

288/12 = 12x/12

24 = x

Now, we have time in minutes that it takes to get to 288 feet.

Hope this helps!

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3 years ago
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Please Help me! Marvin worked for 3 days. He earned $87.20 each day. He uses his earnings to buy four chairs. If he has no money
Molodets [167]

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21.8

Step-by-step explanation:

87.2 divided by 4

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2 years ago
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Please answer thoroughly
aleksklad [387]

Answer:

Part A: 2k(2c2+5(2)-8c-20)

Part B: sorry i don't know how to do this part

Step-by-step explanation:

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7 0
3 years ago
Engineers must consider the breadths of male heads when designing helmets. The company researchers have determined that the popu
tia_tia [17]

Answer:

The minimum head breadth that will fit the clientele is 4.4 inches.

The maximum head breadth that will fit the clientele is 7.8 inches.

Step-by-step explanation:

Let <em>X</em> = head breadths of men that is considered for the helmets.

The random variable <em>X</em> is normally distributed with mean, <em>μ</em> = 6.1 and standard deviation, <em>σ</em> = 1.

To compute the probability of a normal distribution we first need to convert the raw scores to <em>z</em>-scores using the formula:

z=\frac{x-\mu}{\sigma}

It is provided that the helmets will be designed to fit all men except those with head breadths that are in the smallest 4.3% or largest 4.3%.

Compute the minimum head breadth that will fit the clientele as follows:

P (X < x) = 0.043

⇒ P (Z < z) = 0.043

The value of <em>z</em> for this probability is:

<em>z</em> = -1.717

*Use a <em>z</em>-table.

Compute the value of <em>x</em> as follows:

z=\frac{x-\mu}{\sigma}\\-1.717=\frac{x-6.1}{1}\\x=6.1-(1.717\times 1)\\x=4.383\\x\approx4.4

Thus, the minimum head breadth that will fit the clientele is 4.4 inches.

Compute the maximum head breadth that will fit the clientele as follows:

P (X > x) = 0.043

⇒ P (Z > z) = 0.043

⇒ P (Z < z) = 1 - 0.043

⇒ P (Z < z) = 0.957

The value of <em>z</em> for this probability is:

<em>z</em> = 1.717

*Use a <em>z</em>-table.

Compute the value of <em>x</em> as follows:

z=\frac{x-\mu}{\sigma}\\1.717=\frac{x-6.1}{1}\\x=6.1+(1.717\times 1)\\x=7.817\\x\approx7.8

Thus, the maximum head breadth that will fit the clientele is 7.8 inches.

5 0
3 years ago
The mean score on a set of 17 test is 72. Suppose two more students take the test and score 68 and 63. What is the new mean?
Masja [62]

Answer:

New mean=71.32

Step-by-step explanation:

The expression for the total initial score is;

T=M×S

where;

T=total initial score

M=mean score

S=number in the set

replacing;

T=unknown

M=72

S=17

replacing;

T=72×17=1,224

The total initial score=1,224

Determine the total score by;

total score=total initial score+total final score

where;

total initial score=1,224

total final score=(68+63)=131

replacing;

total score=1,224+131=1,355

Determine the new mean;

New mean=total score/new number

where;

total score=1,355

new number=(17+2)=19

replacing;

new mean=1,355/19=71.32

8 0
3 years ago
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