The graph of linear function g passes through the points (3, 7) and (9, 3).
Which statement must be true?
A. The graph of g passes through the point (6,-2)
B. The zero of g is -6
C. The slope of the graph is -2/3
D. The x-intercept of the graph of g is 6

Answer:

$126.5

Step-by-step explanation:

Find how much 15% is in 55, then add it to 55 and multiply by 2!

Answer:

No, Jason's method is not a good one to follow, because u have to let x alone, and try to break down the constant.

Step-by-step explanation:

Jason should do 3x - 12 = 36

                            3x + 12 = + 12

                            3x = 48

                             x = 16

Answer:

It works and is a good one to follow if each term is divisible by the same number!

Step-by-step explanation:

Dividing each term by 3 will give us the equation x - 4 = 12 which leads to the correct answer of x = 16.

However, if there each term is not divisible by the same number, it is not a good method to follow (because it will not work).

The width of the rectangular prism will be 3 units.

Given that:

Length, L = 7 units

Height, H = 5 ¹/₅ units

Volume, V = 109 ¹/₅ cubic units

Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as,

V = L x W x H

Then the width of the prism is calculated as,

109 ¹/₅ = 7 x W x 5 ¹/₅

W = 3 units

The width of the rectangular prism will be 3 units.

More about the volume of the rectangular prism link is given below.

https://brainly.com/question/21334693

#SPJ1

Answer:

59 hits

Step-by-step explanation:

Answer:

the average height is 5 feet 0 inches

Step-by-step explanation:

To find the average height of Maria, Marla, Mandy and Marilyn, we need to add up their individual heights and divide by the number of people in the group.

First, we need to convert all the heights to a common unit of measurement. Since inches are the smallest unit of measurement, we will convert all the heights to inches.

Maria: 5 feet 3 inches = 63 inches

Marla: 4 feet 11 inches = 59 inches

Mandy: 5 feet 2 inches = 62 inches

Marilyn: 4 feet 8 inches = 56 inches

Now we can add up the heights:

63 inches + 59 inches + 62 inches + 56 inches = 240 inches

To find the average, we divide the total height by the number of people:

240 inches / 4 people = 60 inches

So the average height of these four friends is 60 inches or 5 feet, which is the same as 5 feet 0 inches.

Therefore, the average height of these four friends is 5 feet 0 inches.

Using the fact that all points on a circle are equidistant to its center, we will see that:

a =  -3 ±√21

All the points on a circle are equidistant to its center. Here the center is at (-3, -2), and we know that (0, -6) is on the circle.

The distance between these two is:

d = √( (-3 - 0)^2 + (-2 + 6)^2) = 5

Then the distance between (a, 0) also should be 5 units, so:

5 = √( (-3 - a)^2 + (-2 - 0)^2)

5 = √( (-3 - a)^2 + 4)

5^2 = (-3 - a)^2 + 4

25 - 4 = (-3 - a)^2

21 = (-3 - a)^2

±√21 = -3 - a

a = -3 ±√21

these are the two possible values of a.

Learn more about circles:

https://brainly.com/question/25871159

#SPJ1

Answer:

(0,-1)

Step-by-step explanation:

x point is 6, and the translation is x - 6

6 - 6 = 0

x = 0

y point is 0 and translation is y - 1

0 - 1 = -1

y = -1

Coordinates are (0,-1)

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

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

Explanation:

The given translation rule will have us do two things (in either order)

The given point is P(6,0). So x = 6 and y = 0 here.

Since x = 6, we then have x-6 turn into x - 6 = 6-6 = 0

Because y = 0, we have y-1 turn into y-1 = 0-1 = -1

So that's how (6,0) moves to (0,-1)

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

Or you could write out the steps like this

\((x,y) \to (x-6,y-1)\\\\(6,0) \to (6-6,0-1)\\\\(6,0) \to (0,-1)\\\\\)

The diagram below shows that we've moved 6 units to the left and 1 unit down.

Answer:

There are 21 students.

Step-by-step explanation:

If there are 21 students, and each of them had $21 then this would equal a total of $441 because 21 multiplied by 21 equals 441.

Hope this helps,

Trey

The approximate probability that the mean number of siblings in the sample of size 50 is at most 2 is 0.1562 or 15.62%.

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

To answer this question, we need to use the central limit theorem, which states that the sample mean of a large enough sample from any population with a finite mean and variance will follow a normal distribution with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

In this case, we have a sample size of 50, which is considered large enough for the central limit theorem to apply. Therefore, the mean of the sample means will be equal to the population mean, which is 2.2, and the standard deviation of the sample means will be equal to the population standard deviation divided by the square root of the sample size, which is 1.4/sqrt(50) = 0.198.

To find the probability that the mean number of siblings in the sample of size 50 is at most 2, we need to calculate the z-score and use the standard normal distribution table or calculator. The z-score can be calculated as:

z = (2 - 2.2) / 0.198 = -1.01

Using the standard normal distribution table or calculator, we can find that the probability of getting a z-score of -1.01 or less is approximately 0.1562.

Therefore, the approximate probability that the mean number of siblings in the sample of size 50 is at most 2 is 0.1562 or 15.62%.

To learn more about probability from the given link:

https://brainly.com/question/30034780

#SPJ4

Answer:

no it is not possible

Step-by-step explanation:

The formula is (360/n)

and 360 is not completely divisible by 25.

Answer:

96

Step-by-step explanation:

3 floors:

3x16= 48windows per building

2 buildings

2x48=96 windows

Answer:

The answer is C) 380in2

Step-by-step explanation:

Area

\(2(x \times y + x \times z + z \times y) \\ = 2(6 \times 5 + 5 \times 10 + 10 \times 6) \\ = 280 {in}^{2} \)

Answer:yes

Step-by-step explanation: it just is

1. The test statistic falls outside the critical t-values therefore we reject the null hypothesis

2. The confidence interval is constructed as CI = x ± (t_(α/2, df) * (σ / √n))

3. The conclusion is there is sufficient evidence to suggest that the mean inside bearing diameter is different from 8.25 cm

1. Hypothesis Testing:

Null hypothesis (H₀): The mean inside bearing diameter is 8.25 cm.

Alternative hypothesis (H₁): The mean inside bearing diameter is not equal to 8.25 cm.

We will conduct a two-sided hypothesis test using a significance level (alpha) of 0.05.

Given:

Sample size (n) = 15

Sample mean (x) = 8.2535 cm

Standard deviation (σ) = 0.002 cm

To test the hypothesis, we will use a t-test since the population standard deviation is unknown and the sample size is small.

Calculate the test statistic (t-value):

t = (x - μ) / (σ / √n)

where μ is the hypothesized mean under the null hypothesis.

t = (8.2535 - 8.25) / (0.002 / √15)

t = 6.77

Calculate the critical t-values for a two-sided test at a 95% confidence level (alpha = 0.05):

Since the sample size is small (n = 15), we will use the t-distribution and degrees of freedom (df = n - 1 = 14) to find the critical t-values.

t_critical = ± t_(α/2, df)

If you look up the critical t-value for alpha/2 = 0.025 and df = 14 in the t-table or use a statistical calculator, we have 2.51

t_critical = 2.51

Compare the test statistic to the critical t-values:

Since the test statistic falls outside the critical t-values, we reject the null hypothesis.

2. Confidence Interval:

To construct a 95% confidence interval, we will use the formula:

CI = x ± (t_(α/2, df) * (σ / √n))

3. Conclusion:

Since the test statistic falls outside the critical t-values, we reject the null hypothesis and conclude that there is sufficient evidence to suggest that the mean inside bearing diameter is different from 8.25 cm.

Learn more about hypothesis testing here:

https://brainly.com/question/15980493

#SPJ1

Answer:

(0, 5)

Step-by-step explanation:

Graph them both

The three major chords built on white notes without accidentals are:

1. C major chord (C, E, G)

2. F major chord (F, A, C)

3. G major chord (G, B, D)

These chords are formed by taking the root note, skipping one white note, and adding the next white note on top. For example, in the C major chord, the notes C, E, and G are played together to create a harmonious sound.

Similarly, the F major chord is formed by playing F, A, and C, and the G major chord is formed by playing G, B, and D. These three major chords are commonly used in various musical compositions and are fundamental building blocks in music theory.

To know more about musical chords, visit,

https://brainly.com/question/14936810

#SPJ4

Answer:

12*10=120

Step-by-step explanation:

Answer:

8 seats

Step-by-step explanation:

n = 8 ---booths

r = 1 --- hostess

Order is required

Important Order? We solve using permutation.

nPr = n!/(n - r)!

So we have:

8p1 = 8!/(8 - 1)!

IF we do the math correctly, we get this:

8p1 = 8/7!

Finally let's expand to come up with the solution.

8p1 = 8 x 7/7

8p1 = 8

So the answer is 8!

I hope this helps! Have a good day (PLS GIVE BRAINLIEST)

There are 8 types of different arrangements possible for the hostess to seat customers at the waiter’s booths if order is important.

What is Permutation and Combination ?

The various ways in which objects from a set may be selected, generally without replacement, to form subsets. This selection of subsets is called a permutation when the order of selection is a factor, a combination when order is not a factor.

Total number of booths = 8

To determine we will use the generalized expression

How many ways can you arrange 'r' from a set of 'n' if the order matters

P(n,r) = n! / (n-r)!

P(8,1) = 8!/ (8-1)!

= 8!/7!

= 8

So there are 8 types of different arrangements possible for the hostess to seat customers at the waiter’s booths if order is important.

To know more about Permutation and Combination

https://brainly.com/question/9283678

#SPJ2

The argument "All cats are mammals. I am a mammal. Therefore, I am a cat" is fallacious and can be shown as such using set theory and a Venn diagram.

Let's represent the sets using a Venn diagram:

   -------------

   |    Mammals   |

   -------------

       /       \

      /         \

     /           \

----          ----

| Cats |        | You |

----          ----

In the Venn diagram, the circle labeled "Mammals" represents the set of all mammals, and the circle labeled "Cats" represents the set of all cats. The region where the circles overlap represents the set of mammals that are also cats.

According to the argument, "All cats are mammals," which means that the set of cats is entirely contained within the set of mammals. This relationship is correctly represented in the Venn diagram.

The argument also states, "I am a mammal," which means that you are part of the set of mammals. In the Venn diagram, your position would be within the circle labeled "Mammals" but outside the circle labeled "Cats."

The fallacy occurs when the argument concludes, "Therefore, I am a cat." This conclusion is not valid because being a mammal does not automatically make you a cat. The Venn diagram clearly shows that there is a region within the set of mammals that is not within the set of cats.

To summarize, the fallacy in the argument arises from incorrectly inferring that being a mammal automatically implies being a cat. The Venn diagram visually demonstrates that being a mammal is a broader category that encompasses various animals, including cats, but being a mammal alone does not make one a cat.

Learn more about Venn diagram  Here: brainly.com/question/20795347

#SPJ11

Answer:

9 1/10th m/s2 :)

Step-by-step explanation:

The reason it is 1/10 is because the Number is 81 not 80, therefore 1/10 because there it is 1 left in 80 making it a fraction not a whole :) i hope this helps sorry if the explanation is too complicated...

Answer:

13%

Step-by-step explanation:

The percentage decrease is calculated by the formula below;

( new value - old value)old value * 100%

old value is 130

new value is 115

So the percentage increase will be;

(130-115)/115 * 100%

= 15/115 * 100% = 13.043%

To one decimal place, this is 13%

Answer:

1/2

Step-by-step explanation:

These two triangles are similar, so there is a scale factor. The heights and the bottom sides of each triangle are similar, figure A has a bottom length of 6, and figure B has a bottom length of 3. To get from A to B, you multiply by 1/2. So the scale factor is 1/2.

Answer:

x = 132

Step-by-step explanation:

The 2 angles shown are alternate exterior angles and are congruent, thus

x = 132

the probability of transitioning from state 1 to state 2 after the first transition is:

P(X(t) enters state 2 after the first transition | X(0) = 1) = 1 / 3

To write the system of ordinary differential equations (ODEs) for the transition probabilities Pᵢⱼ(t) of the given continuous-time Markov chain, we need to consider the rate at which the system transitions between different states.

Let Pᵢⱼ(t) represent the probability that the Markov chain is in state j at time t, given that it started in state i at time 0.

The ODEs for the transition probabilities can be written as follows:

dP₁₂(t)/dt = q₁₂ * P₁(t) - q₂₁ * P₂(t)

dP₁₃(t)/dt = q₁₃ * P₁(t) - q₃₁ * P₃(t)

dP₂₁(t)/dt = q₂₁ * P₂(t) - q₁₂ * P₁(t)

dP₂₃(t)/dt = q₂₃ * P₂(t) - q₃₂ * P₃(t)

dP₃₁(t)/dt = q₃₁ * P₃(t) - q₁₃ * P₁(t)

dP₃₂(t)/dt = q₃₂ * P₃(t) - q₂₃ * P₂(t)

where P₁(t), P₂(t), and P₃(t) represent the probabilities of being in states 1, 2, and 3 at time t, respectively.

Now, let's consider the second part of the question: Suppose that the initial state is 1. We want to find the probability that after the first transition, the process X(t) enters state 2.

To calculate this probability, we need to find the transition rate from state 1 to state 2 (q₁₂) and normalize it by the total rate of leaving state 1.

The total rate of leaving state 1 can be calculated as the sum of the rates to transition from state 1 to other states:

total_rate = q₁₂ + q₁₃

Therefore, the probability of transitioning from state 1 to state 2 after the first transition can be calculated as:

P(X(t) enters state 2 after the first transition | X(0) = 1) = q₁₂ / total_rate

In this case, the transition rate q₁₂ is 1, and the total rate q₁₂ + q₁₃ is 1 + 2 = 3.

Therefore, the probability of transitioning from state 1 to state 2 after the first transition is:

P(X(t) enters state 2 after the first transition | X(0) = 1) = 1 / 3

Learn more about probability here

https://brainly.com/question/32117953

#SPJ4

The multiples of 10 up to 100 are 10, 20, 30, 40, 50, 60, 70, 80, 90, 100. The multiples of 15 up to 100 are 15, 30, 45, 60, 75, 90. The least common multiple of 10 and 15 is 30.

a. To list all multiples of 10 up to 100, we can start with 10 and keep adding 10 until we reach or exceed 100. The multiples of 10 are: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100.

b. To list all multiples of 15 up to 100, we can start with 15 and keep adding 15 until we reach or exceed 100. The multiples of 15 are: 15, 30, 45, 60, 75, 90.

c. The least common multiple (LCM) of two numbers is the smallest positive integer that is divisible by both numbers. To find the LCM of 10 and 15, we can list their multiples and find the smallest common multiple. From the previous calculations, we have:

Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100.

Multiples of 15: 15, 30, 45, 60, 75, 90.

By observing the lists, we can see that the smallest number that appears in both lists is 30. Therefore, the least common multiple of 10 and 15 is 30.

For more such questions on multiples

https://brainly.com/question/251701

#SPJ8

The situations represented by 25/9 are "Melanie equally shares 25 meters of paper to create 9 banners" and "Joe makes 9 equal servings from a 25 ounce bag of peanuts".

Expression in mathematics is combination of variables with the use of operations and given rules. It can be in the form of equation, numbers etc.

We have the expression 25/9.

That means 25 divided in 9 equal parts.

Now the expression 1,

Melanie equally shares 25 meters of paper to create 9 banners.

We have to divide 25 meters of paper into 9 equal banners.

The above expression can be written as a mathematical term,

and that is 25/9.

Now the expression 2,

Quill gives away 9 baseball cards from a pack of 25.

In mathematical terms; 25 - 9.

Now the expression 3,

George invites 25 kids and 9 adults to his birthday party.

That means, the total 25 + 9 = 34 people

In mathematical terms : 25 + 9

Now the expression 4,

Becca creates 9 rows with 25 buttons each.

That means, each row has 25 buttons.

So the total 9 rows have 9 x 25 buttons.

In mathematical terms : 9 x 25

Now the expression 5,

Joe makes 9 equal servings from a 25 ounce bag of peanuts.

That means 25 ounce bag of peanuts equally divided into 9 parts.

In mathematical terms : 25/9

Therefore, expression 1 : Melanie equally shares 25 meters of paper to create 9 banners and expression 5: Joe makes 9 equal servings from a 25 ounce bag of peanuts, represented by 25/9.

To learn more about the expression;

brainly.com/question/24242989

#SPJ1

Answer:

opens down

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) - (- 10, - 1 ) , then

y = a(x + 10)² - 1

To find a substitute (- 8, - 5) into the equation

- 5 = a(- 8 + 10)² - 1 ( add 1 to both sides )

- 4 = a(2)² = 4a ( divide both sides by 4 )

- 1 = a

y = - (x - 10)² - 1 ← equation in vertex form

To determine if it opens up/ down consider the value of a

• If a > 0 then curve opens up

• If a < 0 then curve opens down

Here a = - 1 < 0 then curve opens down

Yes, the conditions for constructing a 90% confidence interval for the difference in the true mean growth of all large- and small-cap stocks for the last 60 days are met.

Shares of businesses having a market value between $300 million and $2 billion are considered small-cap stocks. Small-cap firms have the potential for rapid development, which makes them attractive investment targets even if their stocks may be more volatile and carry greater risks for buyers.

Large-cap stocks, commonly referred to as large caps, are stocks that are traded for businesses with a market value of at least $10 billion. Because investors gravitate toward quality and stability and become more risk-averse during challenging markets, large-cap companies often exhibit lower volatility.

Thus, the conditions for constructing a 90% confidence interval for the difference in the true mean growth of all large- and small-cap stocks for the last 60 days are met.

To know more about sample visit: brainly.com/question/11045407

#SPJ4

Based on the above figures and the formula for calculating the debt-assets ratio, the company's debt-assets ratio (where debt is defined to include both short-term and long-term debt) is 0.413 or 41.3%.

The given balance sheet data,

Balance Sheet Data

Cash on Hand 2,000

Total Current Assets 78,000

Total Assets 315,000

Overdraft Loan Payable 4,000

1- Year Bank Loan Payable 8,000

Current Portion of Long-Term Loans 13,000

Total Current Liabilities 48,000

Long-Term Bank Loans Outstanding 105,000

Shareholder Equity Year11 Balance Year 12 Change Common Stock 10,000 0 10,000

Additional Capital 100,000 0 100,000

Retained Earning 30,000 22,000 52,000

Total Shareholder Equity 140,000 +22,000 162,000

          The debt-assets ratio is calculated by dividing the total debt (current liabilities + long-term loans) by the total assets.

           In this case, the total debt is 48,000 + 105,000 = 153,000

           and the total assets are 315,000.

   Thus, the debt-assets ratio is 153,000/315,000 = 0.413.

           Also, the debt-assets ratio is 0.413 * 100 = 41.3%

           The correct answer is b) 0.413.

Learn more about Balance Sheet Data at: https://brainly.com/question/17131502

#SPJ11

The subtended arc for the second circle is 31.2 cm long.

Given a circle with a radius of 6 cm and a subtended arc of 15.6 cm, we can find the angle's measure in radians using the formula: angle (in radians) = arc length/radius. Plugging in the values, we get angle = 15.6 cm / 6 cm = 2.6 radians.
For the second circle with a radius of 12 cm, we can find the subtended arc length by rearranging the formula: arc length = angle (in radians) * radius. Using the angle of 2.6 radians, we get arc length = 2.6 radians * 12 cm = 31.2 cm. Therefore, the subtended arc for the second circle is 31.2 cm long.

Learn more about subtended arc here:

https://brainly.com/question/2506683

#SPJ11