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4 years ago

How can you use models to divide?

Mathematics

2 answers:

defon4 years ago

6 0

This model is showing 87 divided by 5. You can clearly see how they got the answer and where they got it from

MaRussiya [10]4 years ago

4 0

It helps you visualization

You might be interested in

120 is increased by b% then increased by 25%. What is the result?

Allushta [10]

Answer:

150 + 1.5d

Step-by-step explanation:

increase 120 by d%

d% = d/100

So, increasing 120 by d % means

120 + (d/100 * 120)

= 120 + 1.2d

Then increase this by 25%

= (120 + 1.2d) + 25/100(120 + 1.2d)

= 120 + 1.2d + (120+1.2d)/4

= 120 + 1.2d + 30 + 0.3d

= 120 + 30 + 1.2d + 0.3d

= 150 + 1.5d

4 0

2 years ago

A new car battery is sold with a two-year warranty whereby the owner gets the battery replaced free of cost if it breaks down du

lara [203]

Answer:

a) 0.1587 = 15.87% probability that a battery will break down during the warranty period.

b) The expected profit of the auto store on a battery is of $15.239.

c) The expected monthly profit on batteries if the auto store sells an average of 500 batteries a month is of $7,619.50.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

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

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The life of batteries is known to be normally distributed with a mean and a standard deviation of 40 and 16 months, respectively.

This means that $\mu = 40, \sigma = 16$

a. What is the probability that a battery will break down during the warranty period?

Two year warranty, that is, 24 months. This probability is the pvalue of Z when X = 24. So

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

$Z = \frac{24 - 40}{16}$

$Z = -1$

$Z = -1$ has a pvalue of 0.1587.

0.1587 = 15.87% probability that a battery will break down during the warranty period.

b. What is the expected profit of the auto store on a battery?

1 - 0.1587 = 0.8413 probability of a profit of $20.

0.1587 probability of a loss of $10. So

$E = 0.8413*20 - 0.1587*10 = 15.239$

The expected profit of the auto store on a battery is of $15.239.

c. What is the expected monthly profit on batteries if the auto store sells an average of 500 batteries a month?

Multiplying the average for a battery by 500. So

15.239*500 = $7,619.50

The expected monthly profit on batteries if the auto store sells an average of 500 batteries a month is of $7,619.50.

5 0

3 years ago

Hi, Please i need help with this question. Workings would be deeply appreciated .

kupik [55]

Answer:

k = ⅕

Step-by-step explanation:

The slope-intercept equation for a straight line is

y = mx + b, where

m = the slope and

b = the y-intercept

Data:

(3,4) = a point on the line

(3k,0) = x-intercept

(0,-5k) = y-intercept

Calculations:

1. Slope

m = (y₂ - y₁)/(x₂ - x₁) = (-5k - 0)/(0 - 3k) = -5/(-3) = ⁵/₃

This makes the equation

y = ⁵/₃x - 5k

2. k

Insert the value of the known point: (3,4)

4 = (⁵/₃)(3) - 5k

4 = 5 - 5k

-1 = -5k

k = ⅕

The figure below shows your graph passing through (3,4) with intercepts 3k and -5k on the x- and y-axes respectively .

8 0

4 years ago

Find the value of f(3) for the function. f(a)=2(a+4)-3 f(3)=___ (simplify your answer)

Nonamiya [84]

Answer:

<h3>Given => f(a)=2(a+4)-3</h3><h3>To Attain=> The value of f(3) for the function</h3>

Step-by-step explanation:

• By Putting the value of a = 3

•f(a)=2(a+4)-3

$f(3) = 2(3 + 4) - 3 \\ f(3) = 2 \times 7 - 3 \\ f(3) = 14 - 3 \\ f(3) = 11$

• Hence, 11 is the solution to the function

3 0

3 years ago

Read 2 more answers

What is the measurement of the angle shown below? A. 120 B. 60 C. 30 D. 180

mrs_skeptik [129]

Answer:

120°

Hope it helped you

5 0

3 years ago