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Korolek [52]
4 years ago
15

How many 4-digit numbers which are greater than 5000can be formed using the digits 7,0,5and 4?

Mathematics
1 answer:
Minchanka [31]4 years ago
4 0

Since the numbers have to be greater than 5000, we have to choose either 5 or 7 as first digit.

If we choose 5, we can arrange the remaining 3 digits in 3!=6 ways:

5047, 5074, 5704, 5740, 5407, 5470

All these numbers are something like "five thousand and something", so they are greater than 5000.

Similarly, if we choose 7, we can arrange the remaining 3 digits in 3!=6 ways:

7045, 7054, 7504, 7540, 7405, 7450

All these numbers are something like "seven thousand and something", so they are greater than 5000.

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Solve 34*17 using an area model
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3 0
3 years ago
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If 5 gallons cost $ 6.60 how much do 29 gallons of gasoline cost​
ikadub [295]

Answer:

Should be 38.28

Step-by-step explanation:

Dividing 6.60 by 5 is $1.32, aka the cost of one gallon. multiply by 29, answer is that it costs $38.28 to get 29 gallons of gasoline.

5 0
3 years ago
Peter bought 9 packs of pencils. Each pack has 10 pencils in it. If he lost 18 pencils, how many pencils
Sindrei [870]

Answer:

a 72

Step-by-step explanation:

9x10=90, so in total he has 90 pencils. if he loses 18 of them that's 90-18 which is 72.

4 0
3 years ago
If a and b are odd integers, then a – b is an even integer.
Readme [11.4K]
So the answer choices are
1. a-b=even
2. a and b are not odd
3. a and b are odd
4. a-b=even
5. a-b=not even

even=not odd
not even=odd so choice 5 is really a-b=odd
basically choice 4 and 1 are the same so we cross one out
so
the problem said that a and b are odd so therefor choice2 is wrong and choice 3 is correct

then both are odd
odd-odd=even because
an even number is represented as 2n where n is an integer
an odd number can be represented as 2n+1 so assume you have 2 odd numbers 2 away from each other so odd and (odd+2)
odd+2-odd=2n+1+2-(2n+1)=2n+1+2-2n-1=2n-2n+1-1+2=2
you are left with odd
using integers
7 and 11
11-7=4
even

so odd-odd=even, it depends on weather you consider 0 odd or even


so the asnwers are:
a and b are odd
a-b is not an even integer
6 0
3 years ago
Read 2 more answers
A firm’s marketing manager believes that total sales for next year will follow the normal distribution, with a mean of $3.2 mill
klasskru [66]

Answer:

The sales level that has only a 3% chance of being exceeded next year is $3.67 million.

Step-by-step explanation:

When the distribution is normal, we use 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 question, we have that:

In millions of dollars,

\mu = 3.2, \sigma = 0.25

Determine the sales level that has only a 3% chance of being exceeded next year.

This is the 100 - 3 = 97th percentile, which is X when Z has a pvalue of 0.97. So X when Z = 1.88.

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

1.88 = \frac{X - 3.2}{0.25}

X - 3.2 = 0.25*1.88

X = 3.67

The sales level that has only a 3% chance of being exceeded next year is $3.67 million.

7 0
3 years ago
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