An ordinary (fair) die is a cube with the numbers through on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment. Compute the probability of each of the following events. Event : The sum is greater than . Event : The sum is not divisible by .

Answer:

The 2 rays the form ACB ARE AC and CB

9514 1404 393

Answer:

  11.1

Step-by-step explanation:

The tangent makes a right angle with the diameter at the point of tangency. So, the triangle is a right triangle, and the Pythagorean theorem can be used to find the length of x. The radius is shown as 7.1, so the diameter will be 14.2.

  x^2 + 14.2^2 = 18^2

  x^2 = 122.36

  x = √122.36 ≈ 11.1

The length of the tangent is about 11.1 units.

Answer:

D [tex] (x +6) ^2 +(y-1)^2 =7 [/tex]

Step-by-step explanation:

Center of the circle (h, k) = (-6, 1)

Area of the circle [tex] =\pi r^2 [/tex]

[tex] 7\pi=\pi r^2 [/tex]

[tex] \frac {7\pi}{\pi} =r^2 [/tex]

[tex]r^2=7[/tex]

[tex]r=\sqrt 7[/tex]

Radius [tex] r=\sqrt {7}[/tex]

Equation of circle in center radius form is given as:

[tex] (x - h) ^2 +(y-k) ^2 =r^2 [/tex]

Plugging the values of h, k and r in the above equation, we find:

[tex] [x - (- 6)] ^2 +[y-1 ]^2 =(\sqrt {7})^2 [/tex]

[tex] (x +6) ^2 +(y-1)^2 =7 [/tex]

Answer:

hewo nice to meet ya

Step-by-step explanation:

hi hello

Answer:

Hola!

*Spanish*

Gracias por los puntos!

H⁣⁣⁣⁣ere's l⁣⁣⁣ink t⁣⁣⁣o t⁣⁣⁣he a⁣⁣⁣nswer:

bit.[tex]^{}[/tex]ly/3a8Nt8n

Answer:

12) F.0

13) 3/2

Step-by-step explanation:

12)

(5, 0) and (10, 0)

Slope:

m=(y2-y1)/(x2-x1)

m=(0-0)/(10-5)

m = 0

13)

(3, 2) and (-1, -4)

Slope:

m=(y2-y1)/(x2-x1)

m=(-4-2)/(-1-3)

m=(-6)/(-4)

m= 3/2

Based on the calculation below, the amount Max can be expected to have when he retires is $758,518.94.

The amount he will be expected to have when he retires can be calculated using the formula for calculating the future value of an ordinary annuity as follows:

FV = D * (((1 + r)^n – 1) / r) ……………………………….. (1)

Where;

FV = Future value or the expected amount when he retires = ?

D = Monthly deposit = $200

r = monthly average inflation adjusted stock market return = 7% / 12 = 0.07 / 12 = 0.00583333333333333

n = number of months = (67 -  22) * 12 = 540

Substituting the values into equation (1), we have:

FV = $200 * (((1 + 0.00583333333333333)^540 – 1) / 0.00583333333333333)

FV = $758,518.94

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Answer:

C. 4x + x < 150

Step-by-step explanation:

x = Joey's points

4x = Liz's Points

together they have fewer than 150 points means the inequality is < 150

So the answer is:  4x + x < 150

Answer:

This may help you I think so

Answer:

17 and 22 edge 2021

Step-by-step explanation:

Answer:

D- The blackcaps will begin nesting at their wintering sites in Spain or the United Kingdom, resulting in a larger blackcap population migrating back to Germany after the breeding season has ended.

Step-by-step explanation:

By the inhabitants of Spain and the United Kingdom placing feeders out for the blackcaps, the birds in their nesting sites during the winter will have food to eat, meaning a bigger population of the Blackcaps when they return to their main home in Germany.

This best predicts the effect on the blackcap population if humans in the United Kingdom continue to place food in feeders during the winter.

Answer: are cylinders similar to what its not asking so id.kkk

Step-by-step explanation:

Polygon: "a plane figure with at least three straight sides and angles, and typically five or more."

1. P

2. NP

3. P

4. NP

5. P

"A planar polygon is convex if it contains all the line segments connecting any pair of its points."

1. C

2. NC

3. NC

4. C

5. NC

Answer:

3/4

Step-by-step explanation:

Well its a incomplete Question but i am solving a realted type Question .

• Find the slope of the line -3x - 4y = 12 :-

Ans ) The given equation can be converted into Slope intercept form , which is y = mx + c , where ,

⇒ -3x -4y = 12

⇒ -4y = 12 +3x

⇒ y = 3x + 12 /4

⇒ y = 3/4x + 12/3

⇒ y = ¾x + 4

⇒ m = ¾

⇒ c = 4

Answer:

Option (3)

Step-by-step explanation:

Given sequence is,

8, -8, 8,...........

Ratio of the 2nd and 1st term = [tex]\frac{-8}{8}[/tex]

                                                = -1

Ratio of 3rd and 2nd term = [tex]\frac{8}{-8}[/tex]

                                           = -1

Therefore, there is a common ratio 'r' = (-1)

And the sequence is a geometric sequence.

Explicit formula for the nth term of a geometric sequence is given by,

[tex]T_n=a(r)^{n-1}[/tex]

Here, 'a' = First term of the sequence

r = Common ratio

n = nth term

For the given sequence xth term of the sequence will be,

[tex]T_x=8(-1)^{x-1}[/tex]

Option (3) will be the answer.

Answer:

The absolute value is 5 1/6

Step-by-step explanation:

The absolute value is how far away an answer is to zero so we just take away the negative for this question.

Answer:

Step-by-step explanation:

Sin(35) =  opposite / hypotenuse

Sin(35) = 4 / hypotenuse                  Multiply both sides by the hypotenuse

hypotenuse * sin(35) = 4                  Divide by Sin(35)

hypotenuse = 4/Sin(35)

Sin(35) = 0.5736

hypotenuse = 4/0.5736

hypotenuse = 6.9737

Rounded answer 6.97

Answer:

a) The mean is 18 and the standard deviation is 1.79.

b) The interpretation is that the standard deviation of the sample means of groups of 20 students will be of 1.79, which is the sample error, which is different from the population standard deviation.

c) 0.2005 = 20.05% probability that a sample of 20 students has a mean score of 19.5 or more.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 18 and a standard deviation of 8.

This means that [tex]\mu = 18, \sigma = 8[/tex]

Sample of 20:

This means that [tex]n = 20, s = \frac{8}{\sqrt{20}} = 1.79[/tex]

(a) Calculate the mean and standard deviation of the sampling distribution of x¯.

By the Central Limit Theorem, the mean is 18 and the standard deviation is 1.79.

(b) Interpret the standard deviation from part (a).

The interpretation is that the standard deviation of the sample means of groups of 20 students will be of 1.79, which is the sample error, which is different from the population standard deviation.

(c) Find the probability that a sample of 20 students has a mean score of 19.5 or more.

This is 1 subtracted by the pvalue of Z when X = 19.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{19.5 - 18}{1.79}[/tex]

[tex]Z = 0.84[/tex]

[tex]Z = 0.84[/tex] has a pvalue of 0.7995

1 - 0.7995 = 0.2005

0.2005 = 20.05% probability that a sample of 20 students has a mean score of 19.5 or more.

Answer:

C

Step-by-step explanation:

y=2x-1 your welcome I need to put more characters so skdjdnnn

Answer:

Y=2x-1

Step-by-step explanation:

the three data sets all work for y=2x-1

-7=-6-1

-7=-7

or

-1=0-1

-1=-1

or

3=4-1

3=3

Answer:

[tex]f(x) = 5 {x}^{2} + 2x + 5 \\ when \: x = 2 \\ f(2) = 5( {2})^{2} + 2(2) + 5 \\f(2) = 29[/tex]

Answer:

4035 grams

Step-by-step explanation:

Answer:

6 inches

Step-by-step explanation:

If 3 blocks equals 2 inches, then we must first find out how many times 3 can fit into 9. We do this by dividing 9 by 3 to get 3. To get your final answer just multiply 2 by 3 and you will get 6 inchs. I hope this helped :0

Answer:

c = 9.2m is the answer.

Step-by-step explanation:

a = 6m

b = 7m

c = ?

According to the Pythagoras theorem,

a² + b² = c²

6² + 7² = c²

36 + 49 = c²

c² = 85

c = 9.2m

∴ the distance between the school and the candy store is 9.2m

Answer:

Shirt A, Skirt A, Shoe A

Shirt A, Skirt A, Shoe B

Shirt A, Skirt B, Shoe A

Shirt A, Skirt B, Shoe B

Shirt A, Skirt C, Shoe A

Shirt A, Skirt C, Shoe B

The number of ways Natalie has to choose outfits for her first day school is 28 ways.

Permutations are different ways of arranging objects in a definite order. It can also be expressed as the rearrangement of items in a linear order of an already ordered set. The symbol nPr is used to denote the number of permutations of n distinct objects, taken r at a time.

Given that, Natalie is trying to pick out an outfit for the first day of school. She can choose from 7 pairs of pants, 2 t-shirts, and 2 pairs of shoes.

Let 7 pairs of pants be P1, P2, P3, P4, P5, P6 and P7.

Let 2 t-shirts be T1 and T2

Let 2 pairs of shoes be S1 and S2

Now,

1) P1, T1, S1                                      

2) P1, T2, S2

3) P2, T1, S1

4) P2, T2, S2

5) P3, T1, S1

6) P3, T2, S2

7) P4, T1, S1

8) P4, T2, S2

9) P5, T1, S1

10) P5, T2, S2

11) P6, T1, S1

12) P6, T2, S2

13) P7, T1, S1

14) P7, T2, S2

15) P1, T1, S2                                      

16) P1, T2, S1

17) P2, T1, S2

18) P2, T2, S1

19) P3, T1, S2

20) P3, T2, S1

21) P4, T1, S2

22) P4, T2, S1

23) P5, T1, S2

24) P5, T2, S1

25) P6, T1, S2

26) P6, T2, S1

27) P7, T1, S2

28) P7, T2, S1

Other way = 7×2×2

= 28 ways

Therefore, the number of ways is 28 ways.

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Answer:

B

Step-by-step explanation:

By using the fraction strip, if you think about it:

Pretend to color in 5/6 on the yellow side, and do the same to the 1/12 part, instead pretend to shade in 5/12. If you see how much remaining you have, you get 5/12.

Answer:

t = 22[tex]\frac{2}{3}[/tex]

2t = 45[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

3t = 68

t = 68/3

Answer:

b

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

Step-by-step explanation:

use pythagoras theorem

a squared +b squared =c squared

4.12 squared +8 squared =x squared

16.9744+64=x squared

take the square root of 80.9744

x=9