Find the area of an equilateral triangle with radius 3 root 3.leave in simpliest radical form

Answer:

a. 0.007 = 0.7% probability that none of the households are turned to nbc Sunday night football

b. 0.993 = 99.3% probability that at least one of the households is turned to nbc Sunday night football.

c. 0.046 = 4.6% probability that at most one of the households is turned to nbc Sunday night football

d. 1 is less than 2.5 standard deviations below the mean, so having at most one people watching shouldn't be considered an unusual outcome, which means that the 22% share values does not appear wrong.

Step-by-step explanation:

For each household, there are only two possible outcomes. Either it is tuned to Sunday Night Football, or it is not. The probability of a household being tuned to Sunday Night Football is independent of any other household. This means that the binomial probability distribution is used 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.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

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

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

22% are turned to that game

This means that [tex]p = 0.22[/tex]

Sample of 20 households:

This means that [tex]n = 20[/tex]

a. Find the probability that none of the households are turned to nbc Sunday night football:

This is P(X = 0). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{20,0}.(0.22)^{0}.(0.78)^{20} = 0.007[/tex]

0.007 = 0.7% probability that none of the households are turned to nbc Sunday night football.

b. Find the probability that at least one of the households is turned to nbc Sunday night football.

This is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

Since P(X = 0) = 0.007

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.007 = 0.993[/tex]

0.993 = 99.3% probability that at least one of the households is turned to nbc Sunday night football.

c. Find the probability that at most one of the households is turned to nbc Sunday night football (3 digits)

This is

[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{20,0}.(0.22)^{0}.(0.78)^{20} = 0.007[/tex]

[tex]P(X = 1) = C_{20,1}.(0.22)^{1}.(0.78)^{19} = 0.039[/tex]

[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.007 + 0.039 = 0.046[/tex]

0.046 = 4.6% probability that at most one of the households is turned to nbc Sunday night football.

d. If at most one household is turned to nbc Sunday night football, does it appear that the 22% share value is wrong? Why or why not?

A measure is considered unusually low if it is more than two and a half standard deviations below the mean.

The mean is:

[tex]E(X) = np = 20*0.22 = 4.4[/tex]

The standard deviation is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{20*0.22*0.78} = 1.8526[/tex]

4.4 - 2.5*1.8526 = -0.2.

1 is less than 2.5 standard deviations below the mean, so having at most one people watching shouldn't be considered an unusual outcome, which means that the 22% share values does not appear wrong.

Answer:

2031

Step-by-step explanation:

3.63=0.046x+2.664

0.966=0.046x

21=x

2010+21=2031

Answer:

34

Step-by-step explanation:

11-7=4

34+4=38

Answer:

38

Step-by-step explanation:

34 + (x - 7)                           original equation

34 + ((11) - 7)                        plug in the variable

34 + 4                                  simplify in parentheses

38                                        simplify (answer)

Answer:

Step-by-step explanation:

The area for the sector of a circle is

[tex]A_s=\frac{theta}{360}*\pi r^2[/tex]  where theta is the measure of the central angle. We have some given values to fill in:

Area is 64π and the central angle is 90°, so all we have left to find is the radius. Filling into the equation:

[tex]64\pi =\frac{90}{360}*\pi r^2[/tex]

Let's get that solved for r-squared first:

[tex]\frac{360(64\pi )}{90\pi } =r^2[/tex]

Doing all the math on that gives us:

[tex]256=r^2[/tex]

Take the square root of both sides and get that r = ±16. BUT we know that lengths cannot be negative, so we disregard the -16 and say that the radius is 16 inches.

Answer:

the answer is 3

Step-by-step explanation:

Answer:

5,7%

Step-by-step explanation:

190270 is 100%

1% is 1902,7

10770/1902,7 = 5,66

Answer:

Step-by-step explanation:

hello :

cos²θ +sin²θ = 1 and cosθ =4/5

(4/5)² + sin²θ = 1 so : sin²θ = 1 - 16/25

sin²θ = 9/25 = (3/5)²

sinθ = 3/5 or sinθ = - 3/5 because : (3/5)²= (- 3/5)²= 9/25

Answer:

-6

Step-by-step explanation:

Let the number be 'x'

Sum of a number and one = x + 1

Sum of a number and one is doubled = 2*(x +1) = 2*x + 2*1 = 2x + 2

Four less than the number = x - 4

2x + 2 = x - 4

Subtract 'x' from both sides

2x - x + 2 = x - x - 4

x + 2 = -4

No, subtract 2 form both sides

x + 2 -2 = - 4 - 2

x = -6

Answer:

$30.25

they each put together $30.25

Step-by-step explanation:

121.00 divided by 4 =

30.25

Answer:

x = 10

y = 20

Step-by-step explanation:

7x + 90 + 20 = 180

7x = 70

x = 10

5x + 2y = 90

50 + 2y = 90

2y = 40

y = 20

Answer:

b= -49

Step-by-step explanation:

Well first isolate the number with the variable by performing inverse operations

1/7b= -7

now multiply by 7 on each side to isolate the variable.

b= -49

B is negative 49

Answer:

$31.04

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

The computation of the percent of the professional professors there are tenured is shown below;

Given that

academic professors A = 60%

professors  tenured P = 70%

professors at Paracelsus University = 90%

Based on the above information

As we know that 90% of the professors could be academic professors or tenured or both

so  here we can say that the percent of academic professors  is

= 60 + 70 - 90

= 40

Therefore professors  tenured will be

= 70 - 40

= 30

Now the percentage of professional professor that is tenured is

= 30 ÷ 40 × 100

= 75%

Answer:

D is Permutation with repetition right

Step-by-step explanation:

Answer:

Step-by-step explanation:

there are 6-10

Answer:

y = -1/2x + 2

Step-by-step explanation:

A perpendicular line will have a opposite reciprocal slope.

Since the line's slope is 2, the perpendicular line will have a slope of -1/2

Plug in the slope and given point into y = mx + b, and solve for b

y = mx + b

3 = -1/2(-2) + b

3 = 1 + b

2 = b

Plug in the slope and b into y = mx + b

y = -1/2x + 2

So, the equation is y = -1/2x + 2

Answer:

10

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Add all 25-29 ages together to get your answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

Correct choice is B

Step-by-step explanation:

[tex] \sf \: \dfrac{3}{4} + \dfrac{1}{2} \\ \sf ➡ \frac{3 + 2}{4} \\ \sf➡ \frac{5}{4} \\ \sf➡1 \frac{1}{4} [/tex]

Answer: 19.101 miles north

Step-by-step explanation:

Now were given an right angled trinagle with the with the 2nd angle being 23 degrees and given a triangle leg length of 45 miles which is adjcent to the angle and were trying to find how find out how far north it went meaning were trying to find how far up it went thus trying to find the side opposite of the angle.

So now we know our facts we need a trig function which uses both the adjacent and opposites sides, that would be tangent.

Answer:

4/3 x 5/8 is correct

Step-by-step explanation:

Answer: C 7/10 * 5/8

Step-by-step explanation:

4/3 * 5/8 = 20 / 24 = 5 / 6

3/2 * 5/8 = 15 / 16

7/10 * 5/8 = 35/80 = 7 / 16

9/7 * 5/8 = 45 / 56

5/8  = 10/16

7/16 < 10/16

7/16 < 5/8

Answer:

C (3 inches by 6 inches)

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

3 is half of 6

1 is half of 2

Answer:

True

Step-by-step explanation:

Answer:

B is not correct. rational numbers can be negative

Answer:

It's exactly normal, because both populations are normally distributed.

Step-by-step explanation:

Khan Academy

Answer:

Step-by-step explanation:

Angle 1=24°

Angle 2=90°

Angle 3=90-24= 66°

Answer: The coordinates of the triangle JKL are (1,2),(4,2) and (3,5)

We need to determine the coordinates of the triangle J'K'L' rotated 360° clockwise with the origin.

Coordinates of the triangle J'K'L':

The rule to rotate the triangle 360° clockwise with the origin is given by

(x,y) => (x,y)

The coordinates of the point J' is given by

(1,2) => (1,2)

The coordinates of the point K' is given by

(4,2) => (4,2)

The coordinates of the point L' is given by

(3,5) => (3,5)

Therefore, the coordinates of the triangle J'K'L' are (1,2), (4,2) and (3,5)

HOPE THIS HELPS