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solniwko [45]
3 years ago
7

Mr. Sims is mixing cement to secure a mailbox post. The directions on the package require 5 cups of water for each pound of ceme

nt. Mr. Sims is mixing 3.5 pounds. How many cups of water will he need?
Mathematics
2 answers:
Contact [7]3 years ago
5 0

Answer:

18 cups of water

Step-by-step explanation:

According to the directions, 1 pound of cement requires 5 cups of water. This is our conversion factor. We can find the cups of water required for 3.5 pounds of cement using proportions.

3.5 pound of cement × (5 cups of water / 1 pound of cement) = 17.5 cups of water ≈ 18 cups of water (rounding off to two significant figures)

cricket20 [7]3 years ago
3 0
The answer is 17.5 cups hope this helps

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The number of errors in a textbook follow a Poisson distribution with a mean of 0.03 errors per page. What is the probability th
maksim [4K]

Answer:

The probability that there are 3 or less errors in 100 pages is 0.648.        

Step-by-step explanation:

In the information supplied in the question it is mentioned that the errors in a textbook follow a Poisson distribution.

For the given Poisson distribution the mean is p = 0.03 errors per page.

We have to find the probability that there are three or less errors in n = 100 pages.

Let us denote the number of errors in the book by the variable x.

Since there are on an average 0.03 errors per page we can say that

the expected value is, \lambda = E(x)

                                       = n × p

                                       = 100 × 0.03

                                       = 3

Therefore the we find the probability that there are 3 or less errors on the page as

     P( X ≤ 3) = P(X = 0) + P(X = 1) + P(X=2) + P(X=3)

                 

   Using the formula for Poisson distribution for P(x = X ) = \frac{e^{-\lambda}\lambda^X}{X!}

Therefore P( X ≤ 3) = \frac{e^{-3} 3^0}{0!} + \frac{e^{-3} 3^1}{1!} + \frac{e^{-3} 3^2}{2!} + \frac{e^{-3} 3^3}{3!}

                                 = 0.05 + 0.15 + 0.224 + 0.224

                                 = 0.648

 The probability that there are 3 or less errors in 100 pages is 0.648.                                

7 0
3 years ago
Read 2 more answers
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ra1l [238]

Answer:

I need numbers to do a step by step

but the formula for the surface area of a cone.

Firstly, you work out the circle, pi x radius squared.

then you work out the cone

You can now use the measurement of the side to find the area of the cone. The formula for the area of a cone is 3.14 times the radius times the side (πrl).

So the surface area of the cone equals the area of the circle plus the area of the cone and the final formula is given by:

SA = πr2 + πrl

7 0
3 years ago
What is the meaning of kiss<br>​
givi [52]

Answer:

The meaning of kiss is touch or caress with the lips as a sign of love, sexual desire, or greeting.

Step-by-step explanation:

Hope it will help

<em>p</em><em>l</em><em>e</em><em>a</em><em>s</em><em>e</em><em> </em><em>m</em><em>a</em><em>r</em><em>k</em><em> </em><em>a</em><em>s</em><em> </em><em>a</em><em> </em><em>b</em><em>r</em><em>a</em><em>i</em><em>n</em><em>l</em><em>i</em><em>s</em><em>t</em><em>s</em>

6 0
3 years ago
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Answer:

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3 years ago
a bank manager wants to know the mean amount of mortgage paid per month by homeowners in an area. a random sample of 120 homeown
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Answer:

[ 1,532.41, 1,617.59]

Step-by-step explanation:

Data provided :

Sample size, n = 120

Mean = $1,575

Standard deviation = $215

Confidence level = 97%

Now,

Confidence interval = Mean ± z\frac{\sigma}{\sqrt n}

also,

for 97% confidence level z score = 2.17   [from standard z-table]

= $1,575 ± 2.17\frac{215}{\sqrt {120}}

= $1,575 ± 42.59

Therefore,

Confidence interval = [ $1,575 - 42.59, $1,575 + 42.59]

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