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snow_tiger [21]
3 years ago
9

Rod is a drummer who purchases his drumsticks online. When practicing with the newest pair, he notices they feel heavier than us

ual. When he weighs one of the sticks, he finds that it is 2.66 oz. The manufacturer's website states that the average weight of each stick is 2.25 oz with a standard deviation of 0.17 oz. Assume that the weight of the drumsticks is normally distributed.What is the probability of the stick's weight being 2.66 oz or greater
Mathematics
1 answer:
Mrrafil [7]3 years ago
7 0

Answer: 0.0080

Step-by-step explanation:

Given : The manufacturer's website states that the average weight of each stick is \mu=2.25 oz with a standard deviation of \sigma=0.17 oz.

We assume the weight of the drumsticks is normally distributed.

Using formula z=\dfrac{x-\mu}{\sigma}, the z-value corresponds x=2.66 will be :-

z=\dfrac{2.66-2.25}{0.17}\approx2.41

By using the standard normal distribution table for z, we get

P-value = P(z\geq2.41)=1-P(z

\\\\=1-0.9920237=0.0079763\approx0.0080

Hence, the probability of the stick's weight being 2.66 oz or greater=0.0080

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The Savannah has very limited resources because of its environment so plants need to conserve and save as much energy and water as they can

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2 years ago
Jordan wants to buy a tuna sandwich. The price of a tuna sandwich combo is $7.20. If he wants just the tuna sandwich, the cost i
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7 0
3 years ago
How many cylindrical can of bottles 12 cm high and with 6 cm diameter could be filled from a tank containing 125 liters of deter
Orlov [11]

Answer:

368 cans.

Step-by-step explanation:

Volume of 1 can = π r^2 h.

Here h (height) = 12 and r (radius) = 1/2 * 6 = 3 cm.

So V =  π * 3^2 * 12

= 108π cm^3.

The tank hold 125 liters

=  125,000 cm^3, so:

Number of cans that could be filled = 125000/ 108 π

= 368.4.

4 0
2 years ago
Read 2 more answers
The sum of three consecutive integers is 168. What are the integers
Tema [17]

Answer:

3X + 3 = 168

3X + 3 - 3 = 168 - 3

3X = 165

3X/3 = 165/3

X = 55

Step-by-step explanation:

We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 168. Therefore, you can write the equation as follows: (X) + (X + 1) + (X + 2) = 168

3 0
2 years ago
A radiator contains 10 quarts of fluid, 30% of which is antifreeze. How much fluid should be drained and replaced with pure anti
prohojiy [21]

ANSWER

Find out the how much fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze .

To proof

let us assume that the fluid should be drained and replaced with pure antifreeze be x .

As given

A radiator contains 10 quarts of fluid, 30% of which is antifreeze.

Now write 30% in the decimal form

= \frac{30}{100}

Now write 60% in the decimal form

= \frac{60}{100}

After  drained and replaced the fluid with pure antifreeze than the quantity becomes = ( 10 - x )

The quantity of  antifreeze is

= \frac{30\times (10 - x)}{100}

The fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze .

than the equation becomes

= x + \frac{30\times ( 10 - x )}{100} = \frac{60\times10}{100}

solyving

100x +300 - 30x = 600

70x = 300

x = \frac{300}{70}

x = 4.28 quarts (approx)

Hence 4.28 quarts (approx) fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze .

Therefore the option (c.) is correct .

3 0
3 years ago
Read 2 more answers
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