Ask question

Ask question

All categories

2 years ago

14

The spray from a lawn sprinkler makes a circle 40 feel in radius. What are the approximate diameter, circumference, and area of

the circle of lawn watered

1 answer:

Fittoniya [83]2 years ago

3 0

Our first step is to figure out what formulas are needed for diameter, circumference, and area of a circle.

Diameter is simply twice the size of the radius so:
2 * radius = 2 * 40 feet = 80 ft.

Circumference = 2 * pi * radius = 80 ft * pi
If we say that pi = 3.14, then:
circumference = 251.2 ft.

Area = pi * radius^2 = pi * 1600 ft^2
Once again, if we assert pi = 3.14, then:
area = 3.14 * 1600 ft^2 = 5024 ft^2.

You might be interested in

Help me with this one!

Natasha_Volkova [10]

Answer:

It’s A

Step-by-step explanation:

Cuz it’s just the numbers are replaced in different places but when u multiply u get the same ans ig

6 0

2 years ago

A real estate agent has 19 properties that she shows. She feels that there is a 30% chance of selling any one property during a

netineya [11]

Answer:

$P(X \geq 5)=1-P(X$

We can find the individual probabilities:

$P(X=0)=(19C0)(0.3)^0 (1-0.3)^{19-0}=0.00114$

$P(X=1)=(19C1)(0.3)^1 (1-0.3)^{19-1}=0.0092$

$P(X=2)=(19C2)(0.3)^2 (1-0.3)^{19-2}=0.0358$

$P(X=3)=(19C3)(0.3)^3 (1-0.3)^{19-3}=0.0869$

$P(X=4)=(19C4)(0.3)^4 (1-0.3)^{19-4}=0.1491$

And replacing we got:

$P(X \geq 5) = 1-[0.00114+0.009282+0.0358+0.0869+0.149]= 0.7178$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=19, p=0.3)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And we want to find this probability:

$P(X \geq 5)$

And we can use the complement rule:

$P(X \geq 5)=1-P(X$

We can find the individual probabilities:

$P(X=0)=(19C0)(0.3)^0 (1-0.3)^{19-0}=0.00114$

$P(X=1)=(19C1)(0.3)^1 (1-0.3)^{19-1}=0.0092$

$P(X=2)=(19C2)(0.3)^2 (1-0.3)^{19-2}=0.0358$

$P(X=3)=(19C3)(0.3)^3 (1-0.3)^{19-3}=0.0869$

$P(X=4)=(19C4)(0.3)^4 (1-0.3)^{19-4}=0.1491$

And replacing we got:

$P(X \geq 5) = 1-[0.00114+0.009282+0.0358+0.0869+0.149]= 0.7178$

4 0

2 years ago

1. The midpoint of GH is (-2,3), and its endpoints are G (g,4) and H (-2,h). What are the values of g and h

alina1380 [7]

Answer: $(g,h)=(-2,2)$

Step-by-step explanation:

Given

Midpoint is $(-2,3)$

Endpoints are $G(g,4)$ and $H(-2,h)$

Mid point of any two point is given by

$x=\frac{x_1+x_2}{2}$

and $y=\frac{y_1+y_2}{2}$

So, $-2=\frac{g+(-2)}{2}$

$-4=g-2$

$g=-2$

Also

$3=\frac{4+h}{2}$

$6=4+h$

$h=2$

Therefore $(g,h)=(-2,2)$

4 0

2 years ago

I need help with this question!

ki77a [65]

Answer:

A

Step-by-step explanation:

4 0

2 years ago

What is 1.2 liters subtracted by 200 millimeters

Sophie [7]

1 liter because 200 millimeters is 0.2 liter and 1.2 minus 0.2 equals 1 liter.

7 0

2 years ago