Find the slope of the line containing the pair of points. (-8,-3) and (2,4) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The slope is (Simplify your answer)​

To find the expected number of sixes appearing on three die rolls, we can calculate the probability of rolling a six on each individual roll and then multiply it by the number of rolls.

The probability of rolling a six on a single roll of a fair die is 1/6, since there are six equally likely outcomes (numbers 1 to 6) and only one of them is a six.

Since the rolls are independent events, we can multiply the probabilities together to find the probability of rolling a six on all three rolls:

(1/6) * (1/6) * (1/6) = 1/216

Therefore, the probability of rolling a six on all three rolls is 1/216.

To find the expected number of sixes, we multiply the probability by the number of rolls:

Expected number of sixes = (1/216) * 3 = 1/72

So, the expected number of sixes appearing on three die rolls is 1/72.

To know more about probability click here: brainly.com/question/31828911

#SPJ11

the sample space for counting the number of free throws made by the basketball player in the game consists of all the possible combinations of successful and unsuccessful shots, ranging from 0 to 8 makes.

the sample space for the basketball player's free throws is considered.

to determine the sample space, we need to identify all the possible outcomes for the number of successful free throws made by the player. In this case, each free throw can result in either a make or a miss, giving two possibilities for each attempt. With a total of 8 free throws, the sample space will consist of all the combinations of makes and misses, ranging from 0 makes to 8 makes.

For example, the sample space could include outcomes such as {0 makes, 8 misses}, {1 make, 7 misses}, {2 makes, 6 misses}, and so on, up to {8 makes, 0 misses}.

Learn more about sample space here:

https://brainly.com/question/30206035

#SPJ11

Answer:

She has 5 candles left.

Step-by-step explanation:

Total of candy Sarah has = 25candies

If Sarah gave 2/5 of the candies to her sister, the total amount she gave her sister will be 2/5 of 25

2/5 of 25 = 10

The remaining candy left will be 25-10 which is 15.

If she gave 2/3 of the amount left to her friend, the amount she gave her friend will be 2/3×15 = 10candies.

There are 36 possible combinations from rolling two dice.

There are 6 combinations of doubles that could be rolled.

6/36 = 1/6 ≈ 0.1667 or about 16.67%.

The equation becomes y = 5(2^-(x-2))+5 if the equation for the graph that has been reflected in the y-axis, given a vertical stretch by a factor of 5, translated 2 units right and 5 units down.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have equation:

\(\rm y = 2^x\)

Plug x → -x to reflected in the y-axis.

The function becomes:

\(\rm y = 2^-^x\)

For vertical stretch, multiply the function by 5.

The function becomes:

\(\rm y\ =\ 5\left(2^{-x}\right)\)

For translate 2 units, right plug x → (x-2)

\(\rm y\ =\ 5\left(2^{-(x-2)}\right)\)

For translate 5 units, up add 5 to the function.

The function becomes:

\(\rm y\ =\ 5\left(2^{-(x-2)}\right)+5\)

Thus, the equation becomes y = 5(2^-(x-2))+5 if the equation for the graph that has been reflected in the y-axis, given a vertical stretch by a factor of 5, translated 2 units right and 5 units down.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

The mean is the best measure οf center, and it equals 7.3.

Given that a line plot displays the number of roses purchased per day at a grocery store.

We need to find the mean,

So,

Mean = 6+6+7+7+8+8+8+9+9+10+1 / 11 = 7.3

Hence, the mean is the best measure οf center, and it equals 7.3.

Tο learn mοre abοut mean, click:

brainly.com/question/28060453

#SPJ1

Answer:

150 units²

Step-by-step explanation:

cube has 6 faces. All faces are congruent squares.

The area of a square is (side)².

Since there are 6 congruent squares, the total surface area of a cube is

6(side)²

SA = 6(5 units)²

SA = 6(25 units²)

SA = 150 units²

a. Null hypothesis (H0): The standard deviation of SAT verbal scores is 110.
Alternative hypothesis (H1): The standard deviation of SAT verbal scores is not equal to 110.

b. We cannot determine if a Type II error occurred without knowing the results of the hypothesis test.

c. This is a two-tailed test (TTT) because the alternative hypothesis is not equal to the null hypothesis.

d. We will use a two-tailed z-test for the standard deviation.

e. The critical value for a two-tailed z-test at α = 0.05 is ±1.96. The rejection region is any z-score less than -1.96 or greater than +1.96.

f. The standardized test statistic formula is:
z = (s - σ) / (σ / sqrt(n))
where s is the sample standard deviation, σ is the hypothesized population standard deviation, and n is the sample size.

Substituting the given values, we get:
z = (120 - 110) / (110 / sqrt(15)) = 1.65

g. Since the calculated z-score of 1.65 is not in the rejection region, we fail to reject the null hypothesis. Therefore, we cannot accept the administrator's claim that the standard deviation of SAT verbal scores is 110.

h. Interpretation: At α=0.05, we fail to reject the null hypothesis and do not have sufficient evidence to support the administrator's claim that the standard deviation of SAT verbal scores is 110.
Hi there! I'd be happy to help you with your question. Let's break down the components of the hypothesis test for the SAT verbal scores.

a. Claim (H0): The null hypothesis (H0) is that the population standard deviation (σ) is equal to 110, as stated by the administrator.

b. Since we are testing the standard deviation, a Type II error would occur if we fail to reject the null hypothesis when the true standard deviation is not 110.

c. This will be a two-tailed test (TTT), as we are looking for a difference in the standard deviation, either higher or lower than the claimed value.

d. We will use the Chi-Square test for hypothesis testing because we are testing the variance (or standard deviation) of a normally distributed population.

e. Critical value and Rejection region: At α = 0.05 and degrees of freedom (df) = n - 1 = 15 - 1 = 14, the critical values for the chi-square distribution are χ²(0.025,14) = 23.68 and χ²(0.975,14) = 6.57. The rejection region will be χ² > 23.68 or χ² < 6.57.

f. Standardized test statistic:
χ² = [(n - 1) * s²] / σ² = [(15 - 1) * (120)²] / (110)² = 14 * 14400 / 12100 = 201.65

g. Decision: Since 201.65 falls outside of the rejection region (201.65 > 23.68), we reject the null hypothesis.

h.At α = 0.05, we have enough evidence to conclude that the standard deviation of SAT verbal scores is significantly different from 110.

Visit here to learn more about standard deviation brainly.com/question/23907081

#SPJ11

The extraneous solution is the value of the independent variable for which the problem has no solution. x=3 is an extraneous solution.

An extraneous solution is a solution that develops from the process of addressing the problem but is not a real solution to the problem, such as an equation.

In order to know the extraneous solution, we need to find the value of x in the given equation,

\(\rm log_4(x)+log_4(x-3)= log_4(-7x+21)\)

Using the logarithmic property,

\(\rm log_4[x(x-3)]= log_4(-7x+21)\)

Taking the anti-log, we will get,

\(x(x-3)= -7x+21\\\\x^2-3x=-7x+21\\\\x^2+7x-3x-21=0\\\\x(x+7)-3(x+7)=0\\\\(x-3)(x+7)=0\)

If we substitute the factors with the 0, we will get the value of x as 3 and -7.

We know that extraneous solutions are those solutions, which when substituted in the initial equation, the equation does not return an equation.

x=3

\(\rm log_4(x)+log_4(x-3)= log_4(-7x+21)\)

\(\rm log_4(x3)+log_4(3-3)= log_4(-21+21)\\\\\rm log_4(x)+log_4(0)= log_4(0)\)

As the value of logₐ(0) is undefined, therefore, x=3 is an extraneous solution.

Learn more about Extraneous solutions:

https://brainly.com/question/14054707

Answer:

B. x = -3

Step-by-step explanation:

The FV is $107 for the simple interest.

The formula to calculate simple interest is given as:

I = P × R × T

Where,I is the simple interest, P is the principal or initial amount, R is the rate of interest per annum, T is the time duration.

Formula to find FV:

FV = P + I = P + (P × R × T)

where,P is the principal amount, R is the rate of interest, T is the time duration, FV is the future value.

Given that P = $100, R = 7%, and T = 1 year, we can find the FV of the investment:

FV = 100 + (100 × 7% × 1) = 100 + 7 = $107

Therefore, the FV of $100 invested at 7% for one year (simple interest) is $107.

#SPJ11

Let us know more about FV : https://brainly.com/question/27941044.

when developing the formula for s(M1-M2), we consider the amount of error for each sample mean, the estimated standard error of M as a statistic, and use an average estimate when dealing with different sample sizes. This helps us determine the total amount of error when using two sample means to approximate two population means.

The independent-measures t statistic is used to determine the total amount of error when using two sample means to approximate two population means. To develop the formula for s(M1-M2), we consider the following points:

1. Each of the two sample means represents its own population mean, but there is some error involved in each case. This error is referred to as the "amount of error."

2. The "amount of error" associated with each sample mean is measured by the estimated standard error of M (sM). This statistic helps us understand how much the sample means may deviate from their respective population means.

3. To find the total amount of error involved in using two sample means to approximate two population means, we consider the size of each sample. If the samples are the same size, we can find the error from each sample separately and add the two errors together.

4. When the samples are of different sizes, a "pooled" or "average estimate" is used to account for the different sample sizes. This approach allows the larger sample to carry more weight in determining the final value of the t statistic.

In summary, when developing the formula for s(M1-M2), we consider the amount of error for each sample mean, the estimated standard error of M as a statistic, and use an average estimate when dealing with different sample sizes. This helps us determine the total amount of error when using two sample means to approximate two population means.

Visit here to learn more about standard error:

brainly.com/question/13179711

#SPJ11

The reason for why the confidence intervals help researchers attain their purpose of using a sample to understand a population is given below .

In the question ,

we have been asked how does the confidence interval help researchers to attain the purpose of using a sample to understand a population ,

we know that , the confidence interval is calculated from an estimate of how far away our sample mean is from actual population mean .

the confidence interval are useful because ,

(i) by calculating the confidence intervals around any data we collect, we have additional information about the likely values we are trying to estimate .

(ii) they make data analyses richer and help us to make more informed decisions about the research questions .

Therefore , the reason how confidence interval helps is mentioned above.

Learn more about Confidence Interval here

https://brainly.com/question/20309162

#SPJ4

Alicia's estimate of the surface area of the rectangular prism is not reasonable based on her miscalculation of the volume.

To determine whether Alicia's estimate of the surface area of the rectangular prism is reasonable, we first need to check if her calculation of the volume of the rectangular prism is correct.

The formula for calculating the volume of a rectangular prism is:

Volume = length x width x height

Substituting the given values in the formula, we get:

Volume = 11 meters x 5.6 meters x 7.2 meters

Volume = 449.28 cubic meters

As we can see, Alicia's estimate of 334 cubic meters is significantly lower than the actual volume of the rectangular prism, which is 449.28 cubic meters. Therefore, her estimate of the surface area is likely to be incorrect as well.

It is also important to note that the problem statement asks about the estimate of the surface area, not the volume. However, since the formula for calculating the surface area of a rectangular prism also involves the dimensions of length, width, and height, it is highly likely that Alicia's estimate of the surface area would also be incorrect given her miscalculation of the volume.

In conclusion, Alicia's estimate of the surface area of the rectangular prism is not reasonable based on her miscalculation of the volume.

Learn more about  volume from

https://brainly.com/question/27710307

#SPJ11

Answer: -3

Step-by-step explanation:

the number at the end of the equation is the y-intercept. it's called "slope-intercept" form because the 2x that is at the beginning represents the slope, and the -3 at the end represents the y-intercept.

hope this helps!

Answer:

x= 3/2

Solution:

y=2x-3

Substitute y=0

0=2x-3

Move the variable to the left

-2x=-3

Divide by both sides

x= 3/2

Answer:

-------------------

Given three interior angle measures of a triangle:

Use the triangle sum theorem to find the missing angle:

So the missing angle is 67°.

Answer: The median number of siblings is 3.

Step-by-step explanation:

Put all of the numbers in STAT, Edit on your TI-84 Graphing Calculator.

Press STAT again and then slide over to CALC and hit 1-Var Stats.

Press ENTER and then 2ND, 2 for the FreqList, hit enter twice.

Scroll down to Med.

The median should equal 3.

The values of x, y and z for the right triangle are: x = √6, y = 3, and z = √10 respectively.

The perpendicular height of the right triangle divides the triangle in two triangles with the same proportions as the original triangle.

√15/(y + 2) = y/√15 {opposite/adjacent}

y(y + 2) = (√15)² {cross multiplication}

y² + 2y = 15

y² + 2y - 15 = 0

by factorization;

(y - 3)(y + 5) = 0

y = 3 or y = -5

by Pythagoras rule:

(√15)² = x² + y²

15 = x² + 3²

x = √(15 - 9)

x = √6

z² = (√6)² + 2²

z = √(6 + 4)

z = √10

Therefore, the values of x, y and z for the right triangle are: x = √6, y = 3, and z = √10 respectively.

Read more about right triangle here:https://brainly.com/question/2920412

#SPJ1

The probability Amaya will bring pizza one day and peanut butter and jelly the next day is 143/961.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

Amaya bought peanut butter and jelly sandwich = 11

Amaya bought sandwich = 7

Amaya bought pizza= 13

Total outcomes = 13+ 7 + 11 = 31

So, the probability Amaya will bring pizza one day and peanut butter and jelly the next day

= 13/31 x 11/31

= 143/961

Learn more about Probability here:

https://brainly.com/question/11234923

#SPJ1

Answer:

40,320 different ways

Step-by-step explanation:

Here, we want to arrange 8 flags in a row

In the row, there will be 8 places

The first place has 8 flags to be chosen from

The second place has 7 and like that

So mathematically, the number of ways that we can arrange the flags is 8 factorial ways

We have this as:

8! = 40,320 different ways

Answer:

Rate of interest (R) = 6.5 % per year

Step-by-step explanation:

Given:

Amount borrow(P) = $2300

Amount (A) = $2748.50

Number of month(T) = 36 month = 3 year

Find:

Rate of interest (R)

Computation:

Simple interest (I) = Amount (A) - Amount borrow(p)

Simple interest (I) = $2748.50 - $2300

Simple interest (I) = $448.50

Simple interest (I) = PRT

$448.50 = ($2300)(R)(3)

0.065 = R

Rate of interest (R) = 6.5 % per year

The rate of interest that should be charged is 6.5%.

Given that,

Based on the above information, the calculation is as follows:

Simple interest = Amount - Amount borrow

= $2748.50 - $2300

= $448.50

Now  

Simple interest  = PRT

$448.50 = ($2300)(R)(3)

0.065 = R

Learn more: brainly.com/question/17429689

The correct option is A. Write-in adjustments All above-the-line adjustments that do not have corresponding input lines on Schedule 1 (Form 1040) are indicated as write-in adjustments.

All above-the-line adjustments that do not have corresponding input lines on Schedule 1 (Form 1040) are referred to as write-in adjustments. Line 36 of Schedule 1 is where all write-in adjustments are reported. You have to provide a brief explanation of the adjustment and the corresponding amount for each write-in adjustment.If the IRS has developed an input line for a particular write-in adjustment, taxpayers must use that input line to report the adjustment. 

When writing in adjustments, taxpayers must ensure that the amount they enter is calculated and that they have a reasonable explanation for the adjustment. Taxpayers may be required to provide documentation to support the adjustment if the IRS requests it.

Miscellaneous adjustments and miscellaneous deductions are not used to describe all above-the-line adjustments that do not have corresponding input lines on Schedule 1 (Form 1040).

Therefore, options C and D are incorrect. The correct option is A. Write-in adjustments.

To know more about corresponding visit:-

https://brainly.com/question/12454508

#SPJ11

Use a Poisson process for statistical analysis of road holes with a parameter of 302 per kilometer.

To conduct statistical analysis on the number of holes in forest roads, a Poisson process is suitable. The Poisson process models the occurrence of rare events over a fixed interval. In this case, the parameter λ represents the average number of holes per kilometer, given as 302.

For the next 100 meters, the probability distribution that governs the number of holes in the road is also a Poisson distribution. The parameter for this distribution can be calculated by dividing λ by 10, as 100 meters is one-tenth of a kilometer. Therefore, the parameter for the number of holes in the next 100 meters would be 302/10 = 30.2.

To determine the probability of finding more than 30 holes in the next 100 meters, we sum up the probabilities of obtaining 31, 32, 33, and so on, up to infinity, using the Poisson distribution with parameter 30.2. This cumulative probability represents the likelihood of encountering more than 30 holes in the specified distance.

To learn more about “probabilities” refer to the https://brainly.com/question/13604758

#SPJ11

For 420 minutes of calls will the costs of the two plans be equal.

We have,

The first plan has a $21 monthly fee and charges an additional $0.09 for each minute of calls.

The second plan has no monthly fee but charges $0.14 for each minutes.

So, the equation can be set as

0.14x = 0.09x +21

where x be the number of minutes.

0.14x - 0.09x = 21

0.05x = 21

x = 420 minutes

Learn more about Equation here:

https://brainly.com/question/29657983

#SPJ1

Answer:

Hope this will help you

Step-by-step explanation:

\(volume \: of \: rectangular \: prism = l \times b \times h \\ = 0.6 ft\times 0.8 ft\times 3.8ft \\ = 1.824 {ft}^{3} \)

Answer: 7

Step-by-step explanation:

4.25+6.75=11

11+7=18

18-11=7

Answer:

11m-4

Step-by-step explanation:

Add 4.25m and 6.75m= 11m

7+-11= -4

Answer:

so (5;2) belongs to these equaliations

Step-by-step explanation:

(5;2) is the same as (x;y)

so u just plug in your numbers

—3y - х = -11

-3*2-5=-11

-6-5=-11

-11=-11

2x +y= 12

2*5+2=12

12=12

Answer:

  see attached

Step-by-step explanation:

Plot the points. The result is shown in the attachment.

Answer:

Uh, there's a format error, can you add a photo?

Step-by-step explanation:

The area of the parallelogram is given by the distance formula and the value of A = 13 square units

Let the two points be A ( x₁ , y₁ ) and B ( x₂ , y₂ )

The distance from A to B is the same as the distance from B to A

Distance between two points is the length of the line segment that connects the two points in a plane.

The formula to find the distance between the two points is usually given by D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)

This formula is used to find the distance between any two points on a coordinate plane or x-y plane

Given data ,

Let the parallelogram be ABCD

Let the height of the parallelogram be AD

And , the base of the parallelogram be DC

where the area A = AD x DC

Now , the coordinates of A = A ( 3 , 6 )

The coordinates of D = ( 2 , 2 )

The coordinates of C = C ( 5 , 1 )

The distance between the two points is usually given by D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)

So , the distance of AD = √ ( ( 3 - 2 )² + ( 6 - 2 )² )

The distance of AD = height of parallelogram AD = √17

And , the distance of DC = √ ( ( 2 - 5 )² + ( 2 - 1 )² )

So , the distance of DC = width of parallelogram DC = √10

And , area of parallelogram A = AD x DC = √17 x √10 = √170 units²

Hence , the area of parallelogram is A = 13 square units

To learn more about distance between 2 points click :

https://brainly.com/question/12661159

#SPJ7

The complete question is attached below :

What is the area of parallelogram ABCD?

13 square units

14 square units

15 square units

16 square units