What is the solution to the inequality below?

x² > 81

A.

B.

C.

D.​

Answer:

12

Step-by-step explanation:

Recall :

Confidence interval = xbar ± margin of error

Xbar = 83

Confidence interval = (71, 95)

We could use either the lower or upper boundary to obtain an integer for the margin of error :

Using the upper boundary :

Upper boundary = Xbar + margin of error

95 = 83 + margin of error

Margin of Error = 95 - 83

Margin of Error = 12

Answer:

0.0792 = 7.92% probability that there is an inconclusive (tied) voting outcome

Step-by-step explanation:

For each juror, there are only two possible outcomes. Either they vote correctly, or they do not. The probability of a juror voting correctly is independent of any other juror. 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.

12 members

This means that [tex]n = 12[/tex]

Suppose that the probability that a juror votes correctly (i.e. in line with the actual innocence/guilt of the person on trial) is 70%

This means that [tex]p = 0.7[/tex]

What is the probability that there is an inconclusive (tied) voting outcome?

Same number(12/2 = 6) of votes for each option, so P(X = 6).

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

[tex]P(X = 6) = C_{12,6}.(0.7)^{6}.(0.3)^{6} = 0.0792[/tex]

0.0792 = 7.92% probability that there is an inconclusive (tied) voting outcome

Answer:

::::::::::::::::::::

(-5,1)

The vertex of the parabola represented by the equation y² + 4x - 2y + 21 = 0 is (-5, 1).

The parabola is represented by the equation y² + 4x - 2y + 21 = 0.

Take the coefficient of y, which is -2, divide it by 2, and square the result:

(-2/2)² = 1

Now, we add and subtract this value inside the parentheses to maintain the equation's balance:

y² - 2y + 1 + 4x + 21 - 1 = 0

Rearranging the terms, we have:

(y² - 2y + 1) + 4x + 20 = 0

Now, the terms inside the parentheses can be written as a perfect square:

(y - 1)² + 4x + 20 = 0

Setting (y - 1)² = 0,

(y - 1)² = 0

y - 1 = 0

y = 1

Substitute y = 1 back into the equation to find the x-coordinate of the vertex:

(1 - 1)² + 4x + 20 = 0

0 + 4x + 20 = 0

4x = -20

x = -5

Therefore, the vertex of the parabola is (-5, 1).

Learn more about the parabola here:

brainly.com/question/4074088

#SPJ2

Answer:

30 fl oz

Step-by-step explanation:

1 c = 8 fl oz

5c = 40 fl oz

40 fl oz - 10 fl oz = 30 fl oz

Answer:

3 fl oz

Step-by-step explanation:

Answer:

He washed 160 more cars this year than last year.

Step-by-step explanation:

Last year:  He washed a total of 1,040 cars.

This year:  He washed a total of 1,200 cars.

     1,200

 -   1,040

        160

Answer:

the amount to be earned is $12,000

Step-by-step explanation:

The computation of the amount to be earned is shown below:

= The amount to purchase a used car ÷ (1 - paid percentage)

= $8,520 ÷ (1 - 0.29)

= $8,520 ÷ 0.71

= $12,000

hence, the amount to be earned is $12,000

We simply applied the above formula for determine the earned money

The same would be considered

Answer:

B

Step-by-step explanation:

Makes the most since

Answer:

9 4/7 + 8 5/6 = 773/

42

= 18 17/

42

= 18.4047619

Step-by-step explanation:

Answer:

18 17/42

Hope this helps

Answer:

71 degrees

Step-by-step explanation

From the triangle shown;

YX² = YZ² + XZ² - 2(YZ)(XZ) cos Z

28² = 25² + 23² - 2(25)(23) cos Z

784 = 625 + 529- 1150 cos Z

784 - 1154 = -1150cos Z

-370 = -1150cos Z

cos Z = 370/1150

cos Z = 37/115

cos Z = 0.3217

Z = arccos 0.3217

Z = 71.23

hence the measure of <Z is 71 degrees

Answer: yxz and tus

Step-by-step explanation:

Answer:

ay i use this- technically isnt cheating bc my teachers didnt block it so..

math calculator for exponent thingys:

https://www.mathpapa.com/calc.html

-and i think you combine them..maybe-

Answer:

C.

Step-by-step explanation:

The answer should be less than 15 for x since its the smallest side and C is the only answer that has that.

Step-by-step explanation:

4×5-3×6+2×3-1

20-18+6-1

2+6-1

8-1

7

Answer:

I love Math anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer: [tex]x=13[/tex], one base angle measures [tex]74^{\circ}[/tex]

Step-by-step explanation:

The base angles of an isosceles triangle are congruent, so:

Hence, the measure of one base angle is [tex]5(13)+9=\boxed{74^{\circ}}[/tex]

Answer:

-5n + 2

Step-by-step explanation:

distribute 2 into (1 - 4n)

3n + 2 - 8n = -5n + 2

Answer:

150 inch

Step-by-step explanation:

4x = 120 · 5

4x = 600

x = 600 ÷ 4

x = 150 inches

9514 1404 393

Answer:

  4/5 acre

Step-by-step explanation:

We assume your allocations are ...

  goats: 3/5 acre

  pigs: 1/5 acre

  llamas: 2/5 acre

2 acres is 10/5 acres, so the remaining area is ...

  10/5 -3/5 -1/5 -2/5 = (10 -3 -1 -2)/5 = 4/5

4/5 acre is allocated to horses.

Answer: Tell me if i am wrong

The answer is 'The slope of g(x) is less than the slope of f(x)'  

Step-by-step explanation:

Given the graphs of f(x) and g(x). we have to compare the slops of these two.

The graph of f(x) passes through the points (1,0) and (2,2)

∴ The slope of [tex]f(x) = \frac{y2-y1}{x2-x1}=\frac{2-0}{2-1} = 2[/tex]

The graph of g(x) passes through the points (0,2) and (2,3)

∴ The slope of [tex]g(x)=\frac{y2-y1}{x2-x1} =\frac{3-0}{2-0} =\frac{1}{2}[/tex]

As [tex]\frac{1}{2} <2[/tex]

This shows that the

The slope of g(x) is less than the slope of f(x).

Answer:

Slope

Step-by-step explanation:

Hope it helps you in your learning process

Answer:

Multiply 4/5 by 2/3

Step-by-step explanation:

Answer:

8/15m^2

Step-by-step explanation:

Hello, to find the area of a rectangle, you take the width and the length and you multiply them together like this:

4/5 x 2/3= 8/15m^2

Don't forget the meters squared in your answer.

Solution :

It is given that Muhammad annual income is $ 2 millions. He wants to donate $ 1 million to the Pakistani Cricket Foundation to support cricket.

1. Muhammad believes that donating the amount will help him getting a income tax deduction,  but he is not eligible for the tax deduction even if he donates. This is because income tax is deducted only if one donates to a US qualified charitable organization that is a 501(c) 3 type of organizations for any federal tax purposes. The Pakistani Cricket Foundation is not a US qualified charitable organization.

2. Yes, I would persuade Muhammad to be more patient and continue to make donations on his will to some conservation organizations as well. This will help the organization to spend the fund on some useful activities and can also get some tax benefits for the taxa purposes under section 170(h) and 2013(c).

Answer:

Option c (7.8) is the correct alternative.

Step-by-step explanation:

The given points are:

(x₁, y₁) = (2, -3)

(x₂, y₂) = (-4, 2)

As we know,

The distance between two points will be:

= [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

On substituting the values, we get

= [tex]\sqrt{(-4-2)^2+(2-(-3))^2}[/tex]

= [tex]\sqrt{(-4-2)^2+(2+3)^2}[/tex]

= [tex]\sqrt{(6)^2+(5)^2}[/tex]

= [tex]\sqrt{36+25}[/tex]

= [tex]\sqrt{61}[/tex]

= [tex]7.8 \ units[/tex]