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3 years ago

Write 25×10^6 in standard form. Please can someone help me

Mathematics

2 answers:

Dovator [93]3 years ago

8 0

Answer:

2.5*10^7

Step-by-step explanation:

Standard form is always a number between 1 and 10 (but never exactly 10) multiplied by 10 to the power of something. Just divide the 25 by 10, so it can be used in standard form, and increase the power by 1. Hope this helped! :^)

Lemur [1.5K]3 years ago

4 0

Answer:
2.5 • 10^6

Explanation:
In order for 25 • 10^6 to be written in standard form, the ‘25’ needs to be less than 10. To do that we will move the decimal one place to the left so that 25 is now 2.5; it is now a number less than 10. It should now look like 2.5 • 10^6. It is now in standard form.

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ATCE Learning Center wants to make a net profit of $650,000 on the manual it sells to schools. The fixed costs for producing the

Elanso [62]

We are to solve for the price per unit. Let "x" be the price per unit.
The given values are the following:
Variable Cost = 1250,000 *x
Fixed Cost = $780,000
Net Profit = $650,000
Variable cost per unit = $19.85

The solution is shown below:
$650,000 = 1,250,000*x - $780,000 - $1,250,000*$19.85
x = $26, 242, 500 / 1,250,000 units
x = $20.994

The price per unit is $20.99 and the answer is letter "D".

6 0

3 years ago

The shape of the distribution of the time required to get an oil change at a 20 minute oil change facility. However, records ind

Katyanochek1 [597]

Answer:

For a mean oil change time of 20.51 minutes there would be a 10% chance of being at or below

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

$\mu = 21.3, \sigma = 3.9, n = 40, s = \frac{3.9}{\sqrt{40}} = 0.6166$

Treating this as a random sample, at what mean oil-change time would there be a 10% chance of being at or below?

This is the 10th percentile, which is X when Z has a pvalue of 0.1. So it is X when Z = -1.28.

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

By the Central Limit Theorem

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

$-1.28 = \frac{X - 21.3}{0.6166}$

$X - 21.3 = -1.28*0.6166$

$X = 20.51$

For a mean oil change time of 20.51 minutes there would be a 10% chance of being at or below

6 0

3 years ago

Help me solve this problem

dem82 [27]

Answer:

Step-by-step explanation:

y ÷ 3(4 - 2) + 5.5

= y ÷ 3(2) + 5.5

= y ÷ 6 + 5.5

= y/6 + 5.5

= (y + 33)/6

6 0

3 years ago

What's 0.875 as a fraction in simplest form

zhenek [66]

$0.875=\dfrac{875}{1000}=\dfrac{875:25}{1000:25}=\dfrac{35:5}{40:5}=\boxed{\frac{7}{8}}$

8 0

3 years ago

The number of calories consumed at snack varies directly with the number of chocolates eaten. If Jodi eats 2 chocolates, she wil

Veseljchak [2.6K]

Answer:

according to the ratio, if every other chocolates Jodi ate is 36.5 calories, then if she ate 5 chocolates then she would have eaten 157.5 calories. What varies means is some chocolates may not exactly be 36.5 calories.

Step-by-step explanation:

8 0

3 years ago