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Svetach [21]
4 years ago
15

Find the area of the following ellipse Use = 3.14 and round to nearest tenth. a = 8 in.; b = 7 in.

Mathematics
1 answer:
Nadusha1986 [10]4 years ago
7 0
Ellipse area = PI * a * b
ellipse area = 3.14 * 8 * 7
ellipse area = 175.84


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Solve the system by substitution. y = -7x + 4 10x – 10y = 40​
zavuch27 [327]

Answer:

point form

(1,-3)

equation form

x=1 y= -3

Step-by-step explanation:

6 0
3 years ago
The net weight in pounds of a packaged chemical herbicide is uniform for 49.62 < x < 50.04 pounds.
k0ka [10]

Answer:

a) E(X)=\frac{50.64+49.62}{2}=50.13 pounds

b) Var(X)= \frac{(b-a)^2}{12} =\frac{(50.04-49.62)^2}{12}=0.0147

c) P(X

But we see that the distribution is defined ust between 49.62 and 50.04

And in order to find this we can use the CDF (Cumulative distribution function) given by:

F(X) =\frac{x-a}{b-a}

And if we replace we got:

P(X

And makes sense since all the values are between 49.62 and 50.04

Step-by-step explanation:

For this case we define the random variable X ="net weigth in pounds of a packaged chemical herbicide" and the distribution for X is given by:

X \sim U(a= 49.62, b=50.04)

Part a

For the uniform distribution the expected value is given by E(X) =\frac{a+b}{2} where X is the random variable, and a,b represent the limits for the distribution. If we apply this for our case we got:

E(X)=\frac{50.64+49.62}{2}=50.13 pounds

Part b

The variance for an uniform distribution is given by:

Var(X)= \frac{(b-a)^2}{12}

And if we replace we got:

Var(X)= \frac{(b-a)^2}{12} =\frac{(50.04-49.62)^2}{12}=0.0147

Part c

For this case we want to find this probability:

P(X

But we see that the distribution is defined ust between 49.62 and 50.04

And in order to find this we can use the CDF (Cumulative distribution function) given by:

F(X) =\frac{x-a}{b-a}

And if we replace we got:

P(X

And makes sense since all the values are between 49.62 and 50.04

6 0
4 years ago
The toll on a bridge is $1.00 for cars and $2.50 for trucks. In one hour, a tollbooth operator collects a total of $105 in tolls
prisoha [69]

$1.00c + $2.50t = $105

5 0
4 years ago
Which statement correctly compares the function shown on this graph with
arsen [322]

Answer:

B

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Brian’s family drinks a gallon of milk in 3 days. How much milk does his family drink in 5 days? The proportion for this situati
sineoko [7]

The proportion given in the problem statement ...

... 3 days/(1 gallon) = 5 days/(x gallons)

can be multiplied by (x gallons/day) to get ...

... 3x = 5

8 0
3 years ago
Read 2 more answers
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