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:

[tex]x + {4x}^{2} [/tex]

Step-by-step explanation:

simplify by combining like terms

4x - 3x = x

[tex]3x ^{2} + {x}^{2} = {4x}^{2} [/tex]

we're left with

[tex]x + {4x}^{2} [/tex]

Answer:

4x²+x

Step-by-step explanation:

4x-3x+3x²+x²

4x minus 3x is x and 3x² +x² is 4x²

therefore,

4x²+x

Answer:

34

Step-by-step explanation:

Answer:

Wesley's final balance in his checking account after these transactions is $598.78.

Step-by-step explanation:

792.38 - 58.62 + 50 - 120 - 64.98 = 598.78

Answer:

0.9988 = 99.88% probability that the mean number of eggs laid would differ from 790 by less than 30.

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 790 and standard deviation 92.

This means that [tex]\mu = 790, \sigma = 92[/tex]

Samples of 98

This means that [tex]n = 98, s = \frac{92}{\sqrt{98}}[/tex]

What is the probability that the mean number of eggs laid would differ from 790 by less than 30?

This is the pvalue of Z when X = 790 + 30 = 820 subtracted by the pvalue of Z when X = 790 - 30 = 760. So

X = 820

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

By the Central Limit Theorem

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

[tex]Z = \frac{820 - 790}{\frac{92}{\sqrt{98}}}[/tex]

[tex]Z = 3.23[/tex]

[tex]Z = 3.23[/tex] has a pvalue of 0.9994

X = 760

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

[tex]Z = \frac{760 - 790}{\frac{92}{\sqrt{98}}}[/tex]

[tex]Z = -3.23[/tex]

[tex]Z = -3.23[/tex] has a pvalue of 0.0006

0.9994 - 0.0006 = 0.9988

0.9988 = 99.88% probability that the mean number of eggs laid would differ from 790 by less than 30.

Answer:

D. I and II

Step-by-step explanation:

In the first quadrant (I), all ratios are positive. In the second quadrant (II), sine (and cosec) are positive. 

The solution is, sine is positive in,  D. I and II. Option (D) is correct because, In the first quadrant (I), all ratios are positive. In the second quadrant (II), sine (and cosec) are positive.

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles.

here, we have,

We are given to select the correct answer from the options provided.

The rule of signs for the trigonometric ratios in the four quadrants are as follows :

Quadrant I :    All the three ratios, tangent, sine and cosine are positive.

Quadrant II :   Only sine is positive, cosine and tangent are negative.

Quadrant III :  Only tangent is positive, sine and cosine are negative.

Quadrant IV :  Only cosine is positive, sine and tangent are negative.

so, we get,

In the first quadrant (I), all ratios are positive. In the second quadrant (II), sine (and cosec) are positive.

Therefore, using the above rules, we can say that the options (B), (C) and (A) are incorrect.

so, we have,

Option (D) is correct because, In the first quadrant (I), all ratios are positive. In the second quadrant (II), sine (and cosec) are positive.

To learn more about trigonometric relations click :

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Answer:

12

Step-by-step explanation:

Answer:

74.13

6×10=60

A=pi r^2

3.14×3^2=28.26

28.26/2 =14.13 (because it is half a circle)

14.13+60=74.13

not sure if that is correct but that is what i got

Answer:

A mean in math is when you have a set of numbers, you add up all numbers of the set and then divide that sum by the total amount of numbers.

Example: 3,6,8,9

3+6+8+9=26

26/4 (because there is four numbers)

26/4= 6.5

So the mean of that set will be 6.5

Step-by-step explanation:

Answer:

9x + 4.5y if .5y is a decimal point, 9x + 9y if the dot is a typo

Step-by-step explanation:

If the dot is real,

7x + 3x + 4y - x + 0.5y

10x + 4y - x + 0.5y

10x - x + 4y + 0.5y

9x + 4.5y

If the dot is a typo,

7x + 3y + 4x - x + 5y

10x + 4y - x + 5y

10x - x + 4y + 5y

9x + 9y

Answer:

the answer is 9x + 9y

7x + 3x + 4y - x + 5y

7x + 3x - x + 4y + 5y

10x - x + 4y + 5y

9x + 9y

Answer:

Mean = The numbers added up and divided by the number of numbers.

Step-by-step explanation:

= (13 + 8 + 9 + 6 + 10 + 8) / 6

= 54 / 6

= 9

The mean is 9.

Answer: $3,833.20

Step-by-step explanation:

Mortgages interest and property tax are both federal deductions so they will reduce taxes:

= 10,260 + 3,430

= $13,690

The tax saving is therefore:

= 13,690 * tax rate

= 13,690 * 28%

= $3,833.20

Answer:

===================

Solved by graphing: x =~ 3.711448

-----------

You can use a graphing calculator, or numerical

Answer:

8x, 2x^2, 6xy, 5y.

Step-by-step explanation:

Hello, 5x+3x would be 8x since 5+3 is 8. 7x^2-5x^2 would be 2x^2 since 7-5 is 2 (exponents stay the same). 2xy+4xy is 6xy since 2+4 is 6. Lastly, 8y-3y is 5y since 8-3 is 5.

Answer:

3x^2

Step-by-step explanation:

the answer isssssssssssssssssssssssssss 3x^2.

Answer:

46 is the 15th term.

Step-by-step explanation:

In this question they have given us the function 3x + 1 to determine the 15th term in the table. X =  the input or the numbers in that column. Now we must substitute x in our function to figure out the output.

Example:

3(1) + 1 = 4

So for the output for 1 the answer would be 4. You must follow this rule for 0 and 2 as well.

For 15 we must substitute 15 for x.

3(15) + 1 = 46

So 46 would be the 15th term.

Answer:

46

Step-by-step explanation:

[tex]3x+1[/tex]

To determine the 15th term using this expression, plug in 15 as x

[tex]= 3(15)+1\\= 45+1\\= 46[/tex]

Therefore, the 15th term is 46.

I hope this helps!

Answer:

x  y

0  2

1   5

Step-by-step explanation:

Answer:

50  moons can fit inside Earth.

Step-by-step explanation:

The Volume of Earth is  

1.09 × 10 ^12

cubic kilometres

The Volume of The Moon is  

2.18 x 10^ 10

cubic kilometers

Hence the number of Moons that can fit in Earth is

Step-by-step explanation:

Answer:

80ab + 9b

Step-by-step explanation:

Step 1: 14 x 5 + 2ab x 5 + 4b x 2 + b

Then......

Multiple the numbers: 14 x 5 = 70

Step 2: = 70ab + 2 x 5ab + 4 x 2b + b

Then......

Multiple the numbers: 2 x 5 = 10

Step 3: = 70ab + 10ab + 4 x 2b + b

Then......

Multiple the numbers: 4 x 2 = 8

Step 4: = 70 ab + 10ab + 8b + b

Then......

Add similar elements: 70ab + 10ab = 80ab

Step 5: = 80ab + 8b + b

Then......

Add similar elements: 8b + b = 96

80ab + 9b

( I HOPE THIS HELPED!)

Answer:

d. 13^2 - 2^2

Step-by-step explanation:

The product of a sum and a difference is a difference of squares.

(13 + 2)(13 - 2) = 13^2 - 2^2

Answer: d. 13^2 - 2^2

Answer:

for 13 Surface are= 2*(9*7.2+9*9+7.2*9)= 421 m cube

Answer:

okay luego le digo 4yo1 xkw k ​

Step-by-step explanation:

Answer: 7

Step-by-step explanation:

14*1=14

14/2=7

Answer:

2.18ft

Step-by-step explanation:

what is the arc length of s in the figure below​

Length of the arc = theta/360 * 2πr

r is the radius = 1ft

theta = 125 degrees

Substitute into the formula

Length of the arc = 125/360 * 2(3.14)* 1

Length of the arc = 785/360

Length of the arc  = 2.18ft

Hence the length of the arc is 2.18ft

Answer:

मुझे गर्म गले पसंद है

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

7x + 4 = 25

7x + 4 - 4 = 25 - 4

7x = 21

x = 3

Answer:

x = 3

Step-by-step explanation:

Hey! Hope this helps you!

Have a nice day <3

Answer:

Step-by-step explanation:

18 has factors of 9 and 2 or 6 and 3

Those factors must differ by 3, so 6 and 3 in some order is your answer.

(x + 6) (x - 3) = r(x)

You have to make x a value that turns the factor into 0.

x + 6 = 0

x = - 6

x - 3 = 0

x =  3

So the zeros are (3,0) and (- 6,0)

Answer:

circumference =pi ×diameter

OR

pi × radius × 2

Answer:

1E18 OR 10^18

Step-by-step explanation:

The formula is multiply the length by 1e+18