Choose the equation below that represents the line passing through the point (2, -5) with a slope of -3.
y = -3% - 13
Oy=-3x + 13
Oy=-3x + 1
Oy=-3x + 11

The total possible outcomes is 16, the probability that all children are males is 1/16, the probability of having all one gender is 1/8

1. The tree diagram for the sex of the children is as follows:

Child 1: M / F

Child 2: M / F

Child 3: M / F

Child 4: M / F

Possible Outcomes: MMMM, MMMF, MMFM, MFMF, FMFM, FMMF, FMFF, FFFF

There are 2 options for each child, so the total number of possible outcomes is 2 x 2 x 2 x 2 = 16.

2. The probability that all children are males is 1/2 x 1/2 x 1/2 x 1/2 = 1/16.

3. The probability of having all one gender of children is the sum of the probability of having all boys and the probability of having all girls. Each of these outcomes has a probability of 1/16, so the total probability is 1/16 + 1/16 = 1/8.

4. The easiest way to solve this problem is to find the probability of having no female children, and then subtract that from 1. The probability of having no female children is (1/2)^4 = 1/16, so the probability of having at least 2 female children is 1 - 1/16 - 1/16 = 7/8.

5. The tree diagram for flipping a coin, rolling a 6-sided die, flipping a coin, and rolling a 3-sided die is as follows:

C / H

/

1-6 1-3

\ /

H / T

The first branch represents the coin flip, the second branch represents the roll of the 6-sided die, the third branch represents the second coin flip, and the fourth branch represents the roll of the 3-sided die.

6. There are 2 options for the first coin flip, 6 options for the second branch, 2 options for the second coin flip, and 3 options for the fourth branch, so the total number of possible outcomes is 2 x 6 x 2 x 3 = 72.

7. The probability of getting only heads on both coin tosses is 1/2 x 1/2 = 1/4. Therefore, the probability of getting only heads on both coin tosses and any result on the dice is 1/4 x 1 = 1/4.

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The number of students that bike to school is 18

The median is described as the middle number of a set of data when the values are arranged in an ascending order from the least to the greatest.

We should also know that the median is one of the measures of central tendency.

From the information given, we have that the data set representing the number of students is;

10, 11, 12 , 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25

Then, we have that the median number is;

Median = 17 + 18/2

add the values

Median = 35/2

Divide the values

Median = 18 students

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\((\stackrel{x_1}{1}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{-5}~,~\stackrel{y_2}{-7}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-7}-\stackrel{y1}{6}}}{\underset{\textit{\large run}} {\underset{x_2}{-5}-\underset{x_1}{1}}} \implies \cfrac{ -13 }{ -6 } \implies \cfrac{13 }{ 6 }\)

The time it will take the roller coaster to reach the ground is 171.65 seconds

Given the roller coaster’s height given by the following parameters

h = –0.025t² + 4t + 50

On the ground level, the height will be zero. Substitute h = 0 and determine the value of t

–0.025t² + 4t + 50 = 0

0.025t² - 4t - 50 = 0

Factorize

On factorizing the time it will take the roller coaster to reach the ground is 171.65 seconds

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The order of the matrices of each product is given as follows:

AB is nonexistent, BA is nonexistent.

Multiplication of matrices is applied multiplying the rows of the first matrix by the columns of the second matrix, and hence the number of columns of the first matrix must be equal to the number of rows of the second matrix.

For the product AB, we have that:

Hence the product is nonexistent.

For the product BA, we have that:

Hence the product is nonexistent.

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After considering the given data we come to the conclusion that the area to the left of z is 0.982, which is Option D. And the standard deviation of the given data is 87.6, which is Option C.


In order to  calculate the area to the left of z=2.09 we have to  apply the z-table:
1. Search for the row that starts with "2.0" in the leftmost column of the z-table.
2. Then for the column that starts with "0.09" in the top row of the z-table.
3. Here the value at the intersection of this row and column is 0.9821.
4. Finally round this value to three decimal places to get 0.982.
Hence , the area to the left of z=2.09 is 0.982.

Now for the second part of the question
Applying the given data set {10, 26, 84, 48, 250, 56}, we can evaluate the standard deviation as follows:

1. Evaluate the mean:
mean = (10 + 26 + 84 + 48 + 250 + 56) / 6 = 74
2. Applying subtraction of the mean from each data point:
{10 - 74, 26 - 74, 84 - 74, 48 - 74, 250 - 74, 56 - 74}
= {-64, -48, 10, -26, 176, -18}
3. Applying square of the result of step 2:
{(-64)², (-48)², (10)², (-26)², (176)², (-18)²}
= {4096, 2304, 100, 676, 30976, 324}
4. Exercising summation of the result of step 3:
4096 + 2304 + 100 + 676 + 30976 + 324
= 38176
5. Applying division of the result of step 4 by the number of data points (n):
standard deviation = √(38176 / (6 -1))
= √7625.2)
≈ 87.6.
Therefore, the answer is  87.6
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we will simply add the whole number part

This will give 3

Since, the denominators are the same, we will just pick one, then add the numerator

But, 15/12 = 1 3/12

But 3/12 can be reduced to give 1/4

Hence, the correct answer is D

i need the answer to this lol

Answer:

18

Step-by-step explanation:

y+17=35

y=18

The statistical explanation for Foofy's erroneous prediction is that there was an error in the way that the data that was used to conduct the survey was conducted

here are several factors that can lead to erroneous predictions in surveys, including:

Biased Sampling: If the sample of respondents is not representative of the population being studied, the results of the survey can be biased. For example, if a survey about voting intentions only polls people who live in a specific geographic area, the results may not accurately reflect the views of the entire population.

Question Wording: The way survey questions are worded can influence respondents' answers. Poorly worded questions, ambiguous language, or leading questions can skew results. For instance, asking a question like "Don't you agree that the government should reduce taxes?" can prompt respondents to agree, even if they don't hold that opinion.

Social Desirability Bias: Respondents may answer survey questions in a way that they believe is socially acceptable, rather than providing their true opinions.

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The length of a 45° arc with a radius of 4 miles is approximately 3.14 miles, calculated using the formula for arc length.

To determine the length of a 45° arc given a radius of 4 miles, we can use the formula: Arc length = (angle measure / 360°) x 2πr, where r is the radius of the circle and π is a constant equal to approximately 3.14.

Substituting the given values into the formula, we get: Arc length = (45° / 360°) x 2π(4 mi)Arc length = (1/8) x 2π(4 mi)Arc length = (1/8) x 8π Arc length = π

The length of the 45° arc is approximately 3.14 miles.

Summary: To find the length of a 45° arc of a circle, we use the formula: Arc length = (angle measure / 360°) x 2πr. Given a radius of 4 miles, we can substitute the values into the formula to get the length of the 45° arc, which is approximately 3.14 miles.

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Answer:

yes its arithmetic, and the common difference is 3

Step-by-step explanation:

-9, -6, -3, 0

-6 - (-9) = 3

-3 - (-6) = 3

0 - (-3) =3

Answer:

6 cups of lemon juice

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

18 out of 30 watched tv

150/30 = 5

18/30 = (18 * 5)/(30 * 5) = 90/150

Answer: 90

Answer:

Answer down bellow

Step-by-step explanation:

Q's Asked: A company determines an employee's starting salary according to the number of years of experience, as detailed in the table.

Years of experience Salary

0 $52,000

1 $53,150

2 $54,260

3 $55,285

4 $56,921

5 $57,126

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So based on the chart:

0 $52,000

1 $53,150

2 $54,260

3 $55,285

4 $56,921

5 $57,126

We can see for each year of experience the "Salary" goes up one thousands constantly. And that makes sense bc as you get used to the work u gradually get better meaning u work better and u also get paid better. ehmm... my bad

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

So work side of things based on the chart we see the amount the amount change.  so from

0 to 1 yr

you will be paid $1,150 more.

and from 1 to 2 yrs you will be paid 1110.

and so on.

And btw i got it right on my test !

Pls like and give brainlest

Answer:

(a)\(\dfrac{15}{32}\)

(b) 17:15

Step-by-step explanation:

(a)

The roulette wheel has 32 slots (inclusive of 0 and 00)

Number of Odd Numbers between 1 to 30 =15

Since you are placing a bet that the outcome is an odd number.

\(P(\text{Winning})=\dfrac{\text{Number of Odd Numbers}}{\text{Total Number of Slots}} \\=\dfrac{15}{32}\)

(b) The actual odds against​ winning

\(\text{Actual Odds against Winning})=\dfrac{32-15}{15}\\=\dfrac{17}{15}\)

Therefore, the actual odds against​ winning are 17:15

Answer:

g = 8

Step-by-step explanation:

Hello!

We can solve for g by isolating the variable.

The value of g is 8.

Answer:

\( \sf \: g = 8\)

Step-by-step explanation:

Now we have to,

→ find the required value of g.

The equation is,

→ 2.8(g - 6) + 1.06 = 6.66

Then the value of g will be,

→ 2.8(g - 6) + 1.06 = 6.66

→ 2.8g - 16.8 = 6.66 - 1.06

→ 2.8g - 16.8 = 5.6

→ 2.8g = 5.6 + 16.8

→ g = (22.4)/(2.8)

→ [ g = 8 ]

Hence, the value of g is 8.

The sum of all interior angles of a triangle is 180° thus the measure of the exterior angle to ∠K is 168° so option (A) is correct.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are 3 sides and three angles in every triangle, some of which may be the same.

It is known that the sum of all three angles inside a triangle will be 180°.

So,   m∠J +  m∠L +  m∠K = 180°

m∠K = 180° - 78° -  90°

m∠K = 12°.

The exterior angle of k = 180- 12 = 168°.

Hence "The sum of all interior angles of a triangle is 180° thus the measure of the exterior angle to ∠K is 168°".

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In the middle equation on the left side, if you let x = 3/2, then the term containing A vanishes and you can solve for B :

12*(3/2) - 25 = A (2*(3/2) - 3) + B

18 - 25 = A * (3 - 3) + B

B = -7

which makes the last option the correct answer.

Answer:

D

Step-by-step explanation:

edge 2021

As a result, the experimental probability of landing on heads is 48%, probability which means that we should expect heads approximately 48 times out of 100 coin flips.

Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating an unlikely event and 1 indicating an unavoidable event. Because there are two equally likely outcomes, switching a fair coin and coin flips has a probability of 0.5 or 50%. (Either heads or tails). Probability theory, a branch of mathematics, is concerned with the investigation of random events rather than their properties. It is used in a variety of fields, including statistics, finance, science, and engineering.

The following formula can be used to calculate the relative frequency or experimental probability of landing on heads:

Number of Heads / Total Number of Flips = Experimental Probability of Heads

The number of heads in this case is 48, and the total number of flips is 100. Therefore,

Heads Experimental Probability = 48 / 100 = 0.48

We can multiply this by 100 to get a percentage:

Heads Experimental Probability = 0.48 * 100 = 48%

As a result, the experimental probability of landing on heads is 48%, which means that we should expect heads approximately 48 times out of 100 coin flips.

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9514 1404 393

Answer:

  The graph of y = f(x) will shift down 11 units.

Step-by-step explanation:

The y-coordinate of a point on the graph is the distance above the x-axis. When 11 is subtracted from the y-coordinate, the distance above the x-axis is decreased by 11. That is, the point will shift down 11 units.

Answer:

L=(-2,4)

Step-by-step explanation:

I just had this homework over the weekend. And there are the rest of the answers too

Answer:

24,070 the school uses in all

Step-by-step explanation:

You subtract 13,270 by 6,570 and you get 6,700 pieces of blue paper. Then, you subtract 6,700 by 2,600 and you get 4,100 pieces of yellow paper. Finally, you add the total of pieces of white, blue, and yellow paper and you get 24,070 for the total.

Answer:

I believe the answer is 25.3

Answer:

25.4

Step-by-step explanation:

add em up then put the .3 after you add it up

The equation of motion is:

Recall that the velocity function v is given by:

Therefore,

Therefore, the correct answer is choice B:

12t + 5

Answer:

6³ = 216

9² = 81

3⁴ = 81

18² = 324

Step-by-step explanation:

6³ = 6 · 6 · 6 = 36 · 6 = 216

9² = 9 · 9 = 81

3⁴ = 3 · 3 · 3 · 3 = 9 · 3 · 3 = 27 · 3 = 81

18² = 18 · 18 = 324

Answer:

12

Step-by-step explanation:

The second diagram is most helpful for finding the surface area.

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Answer:

H0 : μ = 38

H 1 : μ < 38

Test statistic = - 1.11

Pvalue = 0.13

We conclude that there is no significant evidence to support the claim that mean caffeine content is less than 38 milligram.

Step-by-step explanation:

H0 : μ = 38

H 1 : μ < 38

The test statistic :

(xbar - μ) ÷ (s / sqrt (n))

(36.1 - 38) ÷ (10.8 / sqrt(40))

-1.9 ÷ 1.7076299

= - 1.113

= - 1.11 ( 2 decimal places)

α = 0.10

Using the value calculator :

P(Z < - 1.113) = 0.13285

Pvalue = 0.13285

Pvalue = 0.13 ( 2 decimal places)

Reject the Null if Pvalue < α

Since; 0.13285 > 0.01 ; We fail to reject the Null

We conclude that there is no significant evidence to support the claim that mean caffeine content is less than 38 milligram.

Answer: (8 x 1) + (5/10) + (1/100) + (7/1000)

Step-by-step explanation: Have a blessed day hopefully this helped!

Answer:

8 tens, 5 tenths, 1 hundredth, 7 thousandths

Step-by-step explanation:

Hope I helped give brainliest if right :D