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2 years ago

Jenny has a rope that is 7 1/2 feet long. She wants to cut it into pieces that are 3/4 of a foot long.

Mathematics

1 answer:

Dmitrij [34]2 years ago

5 0

10 I was dividing and got 10 hope it helped

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a pool tank fills 60 gallons of water in 1/5 of an hour. How many gallons of water can be filled up in 1 hour?

klasskru [66]

If it takes 1/5 hour to fill 60 gallons
than multiply the fraction by 5 to get a whole hour
and multiply the 60 gallons by 5 to get the amount of water created in that hour
60*5= 300 gallons of water in 1 hour

5 0

3 years ago

Read 2 more answers

There are 50 apple trees in an orchard. Each tree produces 800 apples. For each additional tree planted in the orchard, the outp

Mariana [72]

Answer:

<em> 15</em>
<em> 42,250</em>

Step-by-step explanation:

The given function is,

$P=40000+300x-10x^2$

where,

P = the total production of apples,

x = the number of trees added.

As the quadratic function has a negative leading coefficient, so it will open downward and at the vertex the value of function is maximum.

The vertex will be at $\left(-\dfrac{b}{2a},-f\left(\dfrac{b}{2a}\right )\right)$

The value of the function will be maximum at,

$x=-\dfrac{b}{2a}$

Putting the values,

$x=-\dfrac{300}{2\times (-10)}=\dfrac{300}{2\times 10}=\dfrac{300}{20}=15$

So at x=15 or for 15 number of trees the production will be ,maximum.

Putting x=15 in f(x) will yield the maximum production of apples.

$P=40000+300(15)-10(15)^2=42,250$

4 0

2 years ago

Is 3/2 an allowable probability? Explain.

nadezda [96]

No, probably is on a scale between 0 and 1. Anything beyond those numbers is mathematically impossible. Since 3/2 = 1.5, it is not valid

7 0

2 years ago

What is x+87.39=284.9643

Illusion [34]

Answer:

x=4.956 im pretty sure

Step-by-step explanation:

3 0

2 years ago

On a hospital floor, 16 patients have a disease with a mortality rate of 0.1. Find the probability that two of them die. Round t

matrenka [14]

Answer:

The probability that two of them

die is 0.257

Step-by-step explanation:

From the question, we have that the mortality rate is 0.1

So the probability that they will survive is 1-0.1 = 0.9

Now, we want to check that two will die

We are going you use the Bernoulli approximation of the Binomial theorem as follows

= nCr * p^n * q^(n-r)

where n = 16

r = 2

P = 0.1

q = 0.9

Substituting these values;

14 C 2 * 0.1^2 * 0.9^12

= 0.257

6 0

2 years ago