In a sale the price of a bike is reduced by 40% the sale price of the bike is £192 how much did the bike cost before the sale?

Compare the fraction 1:24,000 to the fraction 1:3,168,000; which is the largest rational number

gulaghasi [49]

Answer:

$\frac{1}{24,000}$

Step-by-step explanation:

we know that

When we compare positive fractions with the same numerator, the largest rational number will be the fraction with the lowest denominator

In this problem we have

$\frac{1}{24,000}$ and $\frac{1}{3,168,000}$

Both numerator are equal

Compare the denominators

$24,000 < 3,168,000$

therefore

$\frac{1}{24,000}$ is the largest rational number

7 0

3 years ago

In the equation f(x) = 5x + 6,6 is called?

Vikentia [17]

Answer:

the y-intercept

Step-by-step explanation:

3 0

2 years ago

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My Notes A large manufacturing plant uses lightbulbs with lifetimes that are normally distributed with a mean of 1600 hours and

Evgen [1.6K]

Answer:

The bulbs should be replaced each 1436.9 hours.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 1600, \sigma = 70$

How often should the bulbs be replaced so that no more than 1% burn out between replacement periods?

This is the first percentile of hours. So it is X when Z has a pvalue of 0.01.

So it is X when Z = -2.33.

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

$-2.33 = \frac{X - 1600}{70}$

$X - 1600 = -2.33*70$

$X = 1436.9$

The bulbs should be replaced each 1436.9 hours.

6 0

3 years ago

Pizza is served in the school cafeteria every fourth school day. Tacos are served every third school day. Both pizza and tacos w

KIM [24]

Answer: secend day

Step-by-step explanation:

4 0

2 years ago

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Please help!

Schach [20]

Answer:

A) Yes, for each increase of 25 employees there is an increase of 150 products.

B) y = 6x + 10

C) the slope indicates the increase that will occur in the y-value for each unitary increase in the x-value, and the y-intercept indicates the inicial value of y (when x = 0)

Step-by-step explanation:

A)

Yes, there is a linear correlation, because a linear increase in the number of employees causes a linear increase in the number of products. For each increase of 25 employees there is an increase of 150 products.

B)

We can use two pair of points to write a linear equation in the model:

y = ax + b

Using x = 0 and y = 10, we have:

10 = a * 0 + b -> b = 10

Using x = 25 and y = 160, we have:

160 = a * 25 + 10

25a = 150 -> a = 6

So the equation is:

y = 6x + 10

C)

the slope indicates the increase that will occur in the y-value (number of products) for each unitary increase in the x-value (number of employees), and the y-intercept indicates the inicial value of y (when x = 0, that is, no employees)

3 0

3 years ago

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