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2 years ago

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a farm raises cows and chicken the farm has a total of 42 animals one day he counts the legs of all of animals and realizes he h

as a total of 114 how many cows does the farmer have and how many chickens

1 answer:

Varvara68 [4.7K]2 years ago

7 0

The answer is seventy two

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A gasoline tank for a certain car is designed to hold 14.0 gal of gas. Suppose that the variable x = actual capacity of a random

MariettaO [177]

Answer:

A gasoline tank for a certain car is designed to hold 14.0 gal of gas.

$\mu = 14$

$\sigma = 0.2$

a)What is the probability that a randomly selected tank will hold at most 13.7 gal?

We are supposed to find $P(x \leq 13.7)$

$z=\frac{x-\mu}{\sigma}$

$z=\frac{13.7-14}{0.2}$

$z=-1.5$

Refer the z table for p value

p value = 0.0668

So, $P(x \leq 13.7)= 0.0668$

The probability that a randomly selected tank will hold at most 13.7 gal is 0.0668

b)What is the probability that a randomly selected tank will hold between 13.4 and 14.3 gal?

We are supposed to find $P(13.4$

$z=\frac{x-\mu}{\sigma}$

$z=\frac{13.4-14}{0.2}$

$z=-3$

P(x<13.4)=P(z<-3)= 0.0013

$z=\frac{x-\mu}{\sigma}$

$z=\frac{14.3-14}{0.2}$

$z=1.5$

P(x<14.3)= 0.9332

$P(13.4$

The probability that a randomly selected tank will hold between 13.4 and 14.3 gal is 0.9319

(c) If two such tanks are independently selected, what is the probability that both hold at most 14 gal?

We are supposed to find $P(x \leq 14)$

$z=\frac{x-\mu}{\sigma}$

$z=\frac{14-14}{0.2}$

$z=0$

Refer the z table for p value

p value = 0.5

So, $P(x \leq 14)= 0.5$

Two such tanks are independently selected, the probability that both hold at most 14 gal = 0.5 * 0.5 = 0.25

Hence If two such tanks are independently selected, the probability that both hold at most 14 gal is 0.25

3 0

2 years ago

A 50 meter path surrounds a rectangular garden . The width of the garden is two-thirds its length. find its area.

astra-53 [7]

$w-width\\l-length\\\\2w+2l=50\to w+l=25\\w=\frac{2}{3}l\\\\substitute:\\\\\frac{2}{3}l+l=25\\\\\frac{5}{3}l=25\ \ \ \ /\cdot\frac{3}{5}\\\\l=15\ (m)\\\\w=\frac{2}{3}\cdot15=10\ (m)\\\\Area:A_{\fbox{ }}=wl\to A_{\fbox{ }}=10\cdot15=150\ (m^2)$

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2 years ago

The penny size of a nail indicates the length of the nail. The penny size

Alecsey [184]

In this question ,it is given that

The penny size of a nail indicates the length of the nail. The penny size

d is given by the literal equation

$d=4n-2$

where n is the length (in inches) of the nail.

In the first part we have to solve for n .

And for that firt we add 2 to both sides

$d+2 =4n$

Now we divide both sides by 4, that is

$n = \frac{d+2}{4}$

Part b.

When d=3

$n= \frac{3+2}{4} = \frac{5}{4} = 1.25$

When d =6, we will get

$n=\frac{6+2}{4}=2$

When d =10, we will get

$n = \frac{10+2}{4}= 3$

6 0

3 years ago

Read 2 more answers

If i have a 20 dollar bill and a candy is 4 how many can i buy

8090 [49]

Answer:

a candy is $4

you have a $20 bill

1 candy = 4

2 candies = 8

3 candies = 12

4 candies = 16

5 candies = 20

you can buy 5 candies for $20.

4 0

2 years ago

Read 2 more answers

Pls help(ill mark brainlest)

gavmur [86]

Answer:

i think c

Step-by-step explanation:

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2 years ago