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Vinvika [58]
3 years ago
10

How do i solve the inequality 55 > -7v +6

Mathematics
1 answer:
Charra [1.4K]3 years ago
3 0
-6 from both sides
49 <span>> -7v
divide by -7
-7 < v</span>
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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
On a test Denzel answers that 3x + 6a + 7 is equivalent to 3(x + 2a +7). Is Denzel correct, why or why not? * Yes, he is correct
emmainna [20.7K]

Answer:

No, he is not correct because the constant in his answer should have been 21 not 7.

Step-by-step explanation:

3(x+2a+7)=3x+6a+21

Therefore, the correct answer is the fourth; he should have put 21.

6 0
3 years ago
A number decreased by 14 is equal to 18. What is the number?
Sunny_sXe [5.5K]
The correct answer is 32 because:

x-14 = 18 => add 14 to both sides=>

x=32
3 0
3 years ago
Solve the equation 2x^2 + 4x - 39 to the nearest tenth.
Virty [35]

Answer:

cant be solved, when you try to you get

-1+78 = 77

which is

77 = 77

1=1

So cannot be factored

Step-by-step explanation:

8 0
2 years ago
Serial numbers for a product are to be made using 2 letters followed by 3 numbers. If the letters are to be taken from the first
Daniel [21]
2 Letters chosen among 6 with no repeat:
a) the first has 6 ways
    the second has 5  ways

Then to choose 2 letters among 6, with no repeat, there are 6x5 = 30 ways

 b) 3 numbers are taken from the digits 0 through 9 with repeats (total = 10)
     the first has 10 ways
     the second has 10  ways
    the third has 10  ways

Then to choose 3 numbers among 10, with repeat, there are 10x10x10= 1000 ways
And the total serial numbers that can be generated is
30 x 1000 = 3000
8 0
3 years ago
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