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Xelga [282]
3 years ago
7

A ladder leans against a wall 6 ft above the ground. The base of the ladder is 3 ft from the wall. How long is the ladder?

Mathematics
1 answer:
Igoryamba3 years ago
7 0

Answer:

6.71

Step-by-step explanation:

Hopefully this helps! :)

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Subtract the second equation from the first<br> 6x + 5y =16<br> - (6x + 2y=10)
Akimi4 [234]

Answer:

3x = 6

Step-by-step explanation:

Combine:

6x + 5y =16

- (6x + 2y=10)

--------------------

     3y = 6, so that y = 2 (We weren't actually asked to find the solution.)

5 0
3 years ago
Write and solve an inequality that represents the number of days driven without the warning light coming on. Explain clearly wha
marta [7]

Answer:

0.6x < 12.5

x < 20.83 days

Step-by-step explanation:

Diego's family car holds 14 gallons of fuel. Each day the car uses 0.6 gallons of fuel. A warning light comes on when the remaining fuel is 1.5 gallons or less. Write an inequality that represents the number of days Diego's father can drive the car without the warning light coming on. Explain each part of your inequality

Car fuel capacity = 14 gallons

Fuel capacity that shows warning light = 1.5 gallons

Fuel capacity without warning light = Car fuel capacity - Fuel capacity that shows warning light

= 14 gallons - 1.5 gallons

= 12.5 gallons

Fuel used per day = 0.6 gallons

Let

x = number of days Diego's father can drive the car without the warning light coming on

The inequality is

0.6x < 12.5

Solve for x

x < 12.5/0.6

x < 20.83 days

7 0
3 years ago
A study of more than 3,000 toco toucans found that their weights were approximately Normally distributed, with a mean
ANTONII [103]

Using the normal distribution, it is found that the correct option is:

  • P(Y< 16) = 0.041. About 4.1% of all toco toucans weigh less than 16 ounces

In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • It measures how many standard deviations the measure is from the mean.  
  • After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

  • Mean of 20 ounces, hence \mu = 20.
  • Standard deviation of 2.3 ounces, hence \sigma = 2.3

P(Y < 16) is the <u>p-value of Z when X = 16</u>, hence:

Z = \frac{X - \mu}{\sigma}

Z = \frac{16 - 20}{2.3}

Z = -1.74

Z = -1.74 has a p-value of 0.041.

This is valid for the entire population, hence, the correct interpretation is:

  • P(Y< 16) = 0.041. About 4.1% of all toco toucans weigh less than 16 ounces

A similar problem is given at brainly.com/question/24663213

4 0
2 years ago
How to mentally subtract smaller numbers from bigger numbers?
Mamont248 [21]
Umm well ill show you how I do it so if it is 67 minus 72 I would subtract the tens spot first then I would do the ones it works for me and it is easy so I hope this helped ohand the answer is -5
3 0
3 years ago
Sam has 13 1/2 yards of ribbon. He cuts them 3/4 yards . What is the maximum numbers of pieces of ribbon
german

Answer:

<u>18</u>

Step-by-step explanation:

You basically have to do 13.5 divided by 0.75 (3/4) which equals 18

4 0
3 years ago
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