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2 years ago

First five common multiples of 7and 20

1 answer:

4 0

The first 5 Multiples of 7 are 35, 70, 105, 140, 175
The first 5 Multiples of 20 are: 20, 40, 60, 80, 100

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Suppose the sediment density (g/cm) of a randomly selected specimen from a certain region is normally distributed with mean 2.65

Verizon [17]

A) 0.9803; 0.4803
B) 32

We calculate the z-score for this problem by using the formula:

$z=\frac{X-\mu}{\frac{\sigma}{\sqrt{n}}}$

Using our formula, we have:

$z=\frac{3.00-2.65}{\frac{0.85}{\sqrt{25}}}=2.06$

Using a z-table (http://www.z-table.com) we see that the area to the left of, less than, this score is 0.9803.

To find the probability it is between the mean and this, we subtract the probability associated with the mean (0.5) from this:
0.9803 - 0.5 = 0.4803.

To find B, we first find the z-score for this. Using a z-table (http://www.z-table.com) we see that the closest z-score would be 2.33. We then set up our equation as

$2.33=\frac{3.00-2.65}{\frac{0.85}{\sqrt{n}}}=\frac{0.35}{\frac{0.85}{\sqrt{n}}}
\\
\\2.33=0.35\div \frac{0.85}{\sqrt{n}}=0.35\times \frac{\sqrt{n}}{0.85}$

Multiplying both sides by 0.85 we have
2.33(0.85) = 0.35√n
1.9805 = 0.35√n

Divide both sides by 0.35:
1.9805/0.35 = √n

Square both sides:
(1.9805/0.35)² = n
32 ≈ n

8 0

2 years ago

Suppose you like to keep a jar of change on your desk. Currently, the jar contains the following: 18 Pennies13 Dimes 18 Nickels1

Nezavi [6.7K]

Answer:

$P(Nickel\ and\ Nickel) = 0.08091$

Step-by-step explanation:

Given

$Pennies = 18$

$Dimes = 13$

$Nickels = 18$

$Quarters = 13$

Required

Probability of selecting 2 nickels without replacement

This can be represented as: $P(Nickel\ and\ Nickel)$

The solution is as follows

$P(Nickel\ and\ Nickel) = \frac{Nickel}{Total}*\frac{Nickel-1}{Total-1}$

The second nickel is reduced by 1 because the first nickel was not replaced and this also reduces the total by 1

So, we have:

$P(Nickel\ and\ Nickel) = \frac{18}{62}*\frac{18-1}{62-1}$

$P(Nickel\ and\ Nickel) = \frac{18}{62}*\frac{17}{61}$

$P(Nickel\ and\ Nickel) = \frac{18*17}{62*61}$

$P(Nickel\ and\ Nickel) = \frac{306}{3782}$

$P(Nickel\ and\ Nickel) = 0.08091$

6 0

2 years ago

You have a 40% off coupon what will the price be of shoes that cost $45

blsea [12.9K]

Answer:

$27

Step-by-step explanation:

45x.40=18

45-18=27

8 0

3 years ago

Read 2 more answers

What are the solutions of the quadratic equation below? -7x2 - 23x + 10 = 0

tatiyna

*first -7x2 which is -14
*second -14 - 23x which is -37x
and -37x should be your answer
hope it helps !

6 0

2 years ago

Read 2 more answers

Baking a tray of corn muffins takes 4 cups of milk and 3 cups of wheat flour. Baking a tray of bran muffins takes 2 cups of milk

Goryan [66]

Answer:

2 barn and 4 corn

Step-by-step explanation:

Here we have to pay attention to milk, because both recipes require the same amount of flour, 3 cups, so the flour will be used in equal amounts whatever the recipe we use. Given this, we can only bake 6 trays at most.

Can we bake 6 of barn? YES! Using all our flour and 6*2=12 cups of milk and getting 6 trays of barn muffins. This will give us $2 * 6 = $12. However we keep 8 cups of milk with not use, that could have been used to bake one of corn that are twice as profits as barn. What happens if we replace one of the 6 barn trays by one of corn?

This way we will have 5 of barn and 1 of corn and we will be using 10 + 4 = 14 cups of milk. Our profits will be: $2*5 + $3*1 =$13. This will improve our income!

Lets replace another barn by one of corn. This way we have 4 of barn and 2 of corn: $2*4 + $3*2 = $14. Again, more income!!

Lets replace another and have 3 barn and 3 corn: $2*3 + $3*3 = $15. And we can bake them, as they need 2*3 = 6 cups for barn and 4*3=12 cups of milk for corn.

If we replace another we will have 2 of barn and 4 of corn. Our income will be: $2*2 + $3*4 = $16. This implies using 4 cups of mil for barn and 16 cups of mil for corn. So, we use all of our milk.

Any change in the distribution of barn and corn will, even impossible to bake as there will not be more ingredients or less profit

8 0

2 years ago