All categories

3 years ago

Question 4, plz help ( radius is 6.8)

Mathematics

1 answer:

Kisachek [45]3 years ago

4 0

Answer:

A) 145.3 cm^2

Step-by-step explanation:

The formula for the area of a circle is A = π r^2

So to find the area we would plug the radius of 6.8 into the formula

Area = π (6.8)^2

Area = (3.14) (6.8)^2

Area = 145.27

Area = 145.3

You might be interested in

Find the unit rate. Use the box or draw the answer

Monica [59]

The answer to the question is use photomath

8 0

3 years ago

A line segment has endpoints at (3, 2) and (2, –3). Which reflection will produce an image with endpoints at (3, –2) and (2, 3)?

Alex73 [517]

It is a reflection over the x-axis

4 0

3 years ago

Read 2 more answers

A real estate agent has 14 properties that she shows. She feels that there is a 50% chance of selling any one property during a

Ratling [72]

Answer:

91.02% probability of selling more than 4 properties in one week.

Step-by-step explanation:

For each property, there are only two possible outcomes. Either it is sold, or it is not. The chance of selling any one property is independent of selling another property. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

In this problem we have that:

$n = 14, p = 0.5$

Compute the probability of selling more than 4 properties in one week.

Either you sell 4 or less properties in one week, or you sell more. The sum of the probabilities of these events is decimal 1. So

$P(X \leq 4) + P(X > 4) = 1$

We want to find $P(X > 4)$ . So

$P(X > 4) = 1 - P(X \leq 4)$

In which

$P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{14,0}.(0.5)^{0}.(0.5)^{14} = 0.000061$

$P(X = 1) = C_{14,1}.(0.5)^{1}.(0.5)^{13} = 0.000854$

$P(X = 2) = C_{14,2}.(0.5)^{2}.(0.5)^{12} = 0.0056$

$P(X = 3) = C_{14,3}.(0.5)^{3}.(0.5)^{11} = 0.0222$

$P(X = 4) = C_{14,4}.(0.5)^{4}.(0.5)^{10} = 0.0611$

$P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.000061 + 0.000854 + 0.0056 + 0.0222 + 0.0611 = 0.0898$

Finally

$P(X > 4) = 1 - P(X \leq 4) = 1 - 0.0898 = 0.9102$

91.02% probability of selling more than 4 properties in one week.

8 0

3 years ago

Diana had a large stack of playing cards. She knew that 17 of them were kings. She took a sample of 30 cards and found 4 kings.

Mandarinka [93]

Answer:

Diana approximately had 128 cards

Step-by-step explanation:

Let n be the number of cards Diana had. She knows that

there are 17 kings among n cards
4 kings among 30 cards

Write a proportion:

$\dfrac{17}{n}=\dfrac{4}{30}$

Cross multiply:

$4n=17\cdot 30\\ \\4n=510\\ \\n=\dfrac{510}{4}=127.5\approx 128$

5 0

3 years ago

The sum of two numbers is 39.Three times the smaller number exceeds the larger number by 81. Find the numbers

Mice21 [21]

Let smaller no be x and bigger be y

x+y=39--(1)
3x=y+81
y=3x-81
y=3(x-27)--(2)

Put it in eq(1)

x+3(x-27)=39
x+3x-81=39
4x=81+39
4x=120
x=30

Now

x+y=39
y=39-30
y=9

The numbers are 9 and 30

7 0

2 years ago