In circle P, BC=24ft. What is the length of arc AC?

The question is incomplete. The complete question is :

Suppose X and Y have a bivariate normal distribution with [tex]$\sigma_X = 0.04, \sigma_Y = 0.08, \mu_X = 3.00, \mu_Y = 7.70$[/tex] and ρ = 0.

Determine the following. Round your answers to three decimal places (e.g. 98.765).

(a). [tex]$P(2.90 < X < 3.10) =$[/tex]

(b). [tex]$P(7.60 < X < 7.80) =$[/tex]

(c). P(2.90 < X < 3.10, 9.60 < Y < 7.80) =

Solution :

We have

[tex]$X \sim N (\mu_X=3, \sigma_X^2=0.04^2)$[/tex]  and

[tex]$Y \sim N (\mu_Y=7.7, \sigma_Y^2=0.08^2)$[/tex]

a). The required probability is

   [tex]$P(2.90 < X < 3.10) =$[/tex] [tex]$P\left(\frac{2.9-3}{0.04}< Z < \frac{3.1-3}{0.04}\right)$[/tex]

  = P(-2.5 < Z < 2.5)  =  P(Z < 2.5) - P(Z < -2.5)

  = P(Z < 2.5) - [1-P(Z < 2.5)]

 = 2P(Z < 2.5) - 1

 = 2(0.99379) - 1

 = 0.98758

 ≈ 0.988

b). The required probability is

   [tex]$P(7.6 < X < 7.8) =$[/tex] [tex]$P\left(\frac{7.6-7.7}{0.08}< Z < \frac{7.8-7.7}{0.08}\right)$[/tex]

  = P(-1.25 < Z < 1.25)  =  P(Z < 1.25) - P(Z < -1.25)

  = P(Z < 1.25) - [1-P(Z < 1.25)]

 = 2P(Z < 1.25) - 1

 = 2(0.89435) - 1

 = 0.7887

 ≈ 0.789

c). Since, ρ = 0, so the X and Y are independent. Thus the required probability is :

P(2.90 < X < 3.10, 9.60 < Y < 7.80) = P(2.9 < X < 3.1) x P(7.6 < Y < 7.8)

     = (0.98758)(0.7887)

     = 0.77890

      ≈ 0.779

Answer:

80

Step-by-step explanation:

180 - 100 = 80. 180º is required for a straight line, and 100º have already been shown from the other angles. x = 80

Answer:

-27

Step-by-step explanation:

first add 22 to both sides

-x/9=3

then isolate x by multiplying by 9

-x=27

x can't be negative so multiply by -1

x=-27

Answer:

x = -27

Step-by-step explanation:

Solve the equation by inverse operations and you get x = - 27

Answer:

71 is 10% of 710

52 is 97% of 5200/97

Step-by-step explanation:

Let’s start with 71 is 10% of what number.

basically, what this is saying, is that 71 = 10% times and unknown valu. We can set this as x.

so, 71=0.1x

divide on both sides,

710=x

now the second one.

repeat the same process.

52=0.97x

divide

5200/97 =x

Answer:

[tex] x = 5 \pm \sqrt{7} [/tex]

Step-by-step explanation:

x^2 - 10x + 14 = -4

Subtract 14 from both sides.

x^2 - 10x = -18

To complete the square, add the square of half of the x-term's coefficient.

x-term coefficient: -10

half of it: -5

squared: (-5)^2 = 25

Add 25 to both sides.

x^2 - 10x + 25 = -18 + 25

(x - 5)^2 = 7

Take square root of both sides. Be careful to include ± on the right side.

[tex] x - 5 = \pm \sqrt{7} [/tex]

Add 5 to both sides.

[tex] x = 5 \pm \sqrt{7} [/tex]

Answer:

15 feet

Step-by-step explanation:

This is already factored for the zeros of the quadratic.  If x - 5 = 0 and x - 20 = 0 then x = 5 and 20.  The ball was kicked 5 feet out and landed at 20 feet down the field.  The difference is 15 feet.  That's how far the ball traveled from its initial position on the ground to its landing place.

So 15 feet from where it was kicked.

Answer:

0.875

Step-by-step explanation:

have a good day/night

may i please have banilliest

thank u

sorry if wrong

Answer:

According to me it should be -6 [tex]\leq[/tex] y [tex]\leq[/tex] 2.

Step-by-step explanation:

9514 1404 393

Answer:

  B.  negative trend

Step-by-step explanation:

The sign of the slope of the best-fit line is the sign of the "trend". A line that slopes downward has a negative slope. Such a best-fit line indicates a negative trend.

Answer:

Oct.

Step-by-step explanation:

average = (72 + 83 + 95 + 77 + 88)/5 = 83

Answer:

x=60

Step-by-step explanation:

(1/6)(x+6)=11

Multiply both sides by six:

(6)(1/6)(x+6)=11(6)

x+6=66

Take six from both sides:

x+6-6=66-6

x=60

Answer:

x = -8, y = 11/3

Step-by-step explanation:

Answer:

9x +4y

Step-by-step explanation:

step 1 : parentheses are priorities

so multiple the 6 to the parentheses

6x + 24y +3x -20y

combine the x's together

6x +3x + 24y -20y

9x + 4 y

Answer:

[tex]9x + 4y[/tex]

Step-by-step explanation:

1) Expand by distributing term.

[tex]6x + 24y + 3x - 20y[/tex]

2) Collect like terms.

[tex](6x + 3x) + (24y - 20y)[/tex]

3) Simplify.

[tex]9x + 4y[/tex]

Hence, the answer is 9x + 4y.

Answer:

A

Step-by-step explanation:

Answer: 42.5%, 7.5%, Independent and Dependent

Step-by-step explanation:

A: The chance that both FDA will approve and double the value is 50%*85% or 0.50*0.85, or 85*1/2 which is 42.5%

B: 50%*(100-85)%=50%*15%=15%*1/2=7.5%

C: FDA approval is independent because nothing can effect it. However, the stock doubling is dependent, because if FDA does not approve, it will definitely not double.

Answer:

See explanation

Step-by-step explanation:

A: 50% * 85% = 42.5%

B: 50% * 15% = 7.5%

C: Dependent, because the stock price has a 0% chance of doubling if the GDA does not approve of the medicine.

Answer:

the expected value and the standard deviation of the sample mean is 70 and 2.86 respectively

Step-by-step explanation:

The computation of the expected value and the standard deviation of the sample mean is shown below:

The mean is 70

And, the standard deviation is

= 20 ÷ √49

= 20 ÷ 7

= 2.86

Hence, the expected value and the standard deviation of the sample mean is 70 and 2.86 respectively

Answer:

The chi-square goodness-of-fit test is best used with categorical variables.  The trees in the forest are not categorical variables but numerical.

Step-by-step explanation:

The chi-square goodness-of-fit test determines whether the distribution of cases in a single categorical variable follows a known distribution.  The chi-square goodness-of-fit test data deal with data frequencies, levels, or counts of cases rather than percentages or other data transformations. Lastly, the categories of the variables are mutually exclusive because they assume the form of either or.

Answer:

A chi-square goodness-of-fit test would be used to show that the entire distribution of trees in the forest is different than what the forester reported, not necessarily the individual proportion representing the spruce trees.

Step-by-step explanation:

   The answer is the explanation. Got it from CollegeBoard.org

Answer:

74ft³

Step-by-step explanation:

Okay, so it's basically 3 rectangular figures smashed together so:

We'll do the 2 biggest one's first:

the formula for the volume of a rectangular figure is base x height so we first have to find the base:

4 x 3 = 12

So then we just plug our stuff in here:

12 x 3 = 36

Now there's 2 of these rectangles though so:

36 x 2 = 72

Now we're going to do the one in the middle:

1 x 2 = 2

2 x 1 = 2

Now we add that all together:

72 + 2 = 74

So, the volume of the composite figure is 74ft³

hope this helps:)

1) 16

2) -6 -(-17) = -6 +17= 11

3) 19 -(-2) = 19 + 2 = 21

4) -13 + 20 = 7

5) -22

6) -9

7) -19

8) -6

9) -17

10) -20

11) -15 -(-10) = -15 + 10 = -5

12) -1

13) 30

14) 11 -(-9) = 11 + 9 = 20

15) 16

16) -21

Step-by-step explanation:

length = l

width = w

perimeter of garden = 76 ft

perimeter = 2l + 2w

2l + 2w = 76 (eqn 1)

l - w = 12 (eqn 2)

(eqn 1) ÷ 2

l + w = 38 (eqn 3)

(eqn 2) + (eqn 3)

2l = 50

2l/2 = 50/2

l = 25

The length of the garden is 25 ft.

Substitute l = 25 into (eqn 3)

l + w = 38

25 + w = 38

w = 38 - 25

w = 13

The width of the garden is 13 ft.

Answer:

The LCD in 1/30 + 1/24 is 90.

Answer:

x^8 y^8

did you mean (x^4 y^3 y)2 or just (x4y3y)2

Sorry did you submitted it yet?

If the given expression is (x⁴y³y)², the expression equivalent to the given expression in form of xmyn is, x⁸y⁸.

It is defined as the combination of constants and variables with mathematical operators.

It is given that the expression is,

(x⁴y³y)²

Keep the base constant and add the exponents when multiplying similar bases. Maintaining the same base while multiplying the exponents will raise a base with power to another power. When dividing two bases with similar exponents, keep the exponents of the numerator and denominator constant.

We have to represent the given expression in the form of [tex]\rm x^m y^n[/tex].

We use the expression identity as,

[tex]x^m \times x^n = x^{m+n}[/tex]

[tex]\rm = (x^m)^n \\\\ = x^{mn}[/tex]

=(x⁴y³y)²

First, solve the term present in the bracket as,

=(x⁴y⁴)²

Open the bracket we get,

=(x⁴)²(y⁴)²

=x⁸y⁸

Thus, if the given expression is (x⁴y³y)², the expression equivalent to the given expression in form of  [tex]\rm x^m y^n[/tex] is, x⁸y⁸.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ2

Answer:

26 points

Step-by-step explanation:

Find the mean number of points by adding up all of the points and dividing it by 5

(21 + 25 + 36 + 16 + 32) / 5

130 / 5

= 26

So, the mean number of points is 26 points

Jody's team scored 21, 25, 36, 16 and 32 points at the last five football games. What is the mean number of points Jody's team scored ?

To find the mean, first of all we have to add up all the given points and then divide by how many number of points there are. So, there are total 5 points. Hence, we have to divide all the given points by 5.

So, Mean = [tex] \bf \frac{21 \: + \: 25 \: + \: 36 \: + \: 16 \: + \: 32}{5} [/tex]

Mean = [tex] \bf \frac{130}{5} [/tex]

Mean = [tex] \bf 26 [/tex]