2. A-SSE. 1
Which expression represents "5 less than twice x"?
1) 2x - 5
2) 5 - 2x
3) 2(5 - x)
4) 2(x - 5)

The probability of choosing 3 men and 1 woman at random for a 4 person committee can be calculated using the combination formula.

We want to choose 3 men from a pool of 10 men, which can be done in 10 choose 3 ways. We also want to choose 1 woman from a pool of 6 women, which can be done in 6 choose 1 ways. The total number of ways to choose a 4 person committee from a pool of 16 people is 16 choose 4. Therefore, the probability of choosing 3 men and 1 woman at random for a 4 person committee is:

(10 choose 3) * (6 choose 1) / (16 choose 4) = 120 * 6 / 1820 = 0.3956

So, the probability of choosing 3 men and 1 woman at random for a 4 person committee is approximately 0.3956 or 39.56%. This means that if we randomly choose a 4 person committee from a pool of 10 men and 6 women, there is a 39.56% chance that the committee will consist of 3 men and 1 woman.

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Answer:

Step-by-step explanation:

ry+r=x-t

ry+r+t=x

x=r(y+1)+t

The probability that the sample mean would be less than 31,358 miles in a sample of 242 tires if the manager is correct is 0.9925 (or 99.25%).

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.

We can use the central limit theorem to approximate the distribution of the sample mean. According to the central limit theorem, if the sample size is sufficiently large, the distribution of the sample mean will be approximately normal with a mean of 30,641 and a standard deviation of sqrt(variance/sample size).

So, we have:

mean = 30,641

variance = 14,561,860

sample size = 242

standard deviation = sqrt(variance/sample size) = sqrt(14,561,860/242) = 635.14

Now, we need to calculate the z-score corresponding to a sample mean of 31,358 miles:

z = (sample mean - population mean) / (standard deviation / sqrt(sample size))

= (31,358 - 30,641) / (635.14 / sqrt(242))

= 2.43

Using a standard normal distribution table or calculator, we can find the probability that a z-score is less than 2.43. The probability is approximately 0.9925.

Therefore, the probability that the sample mean would be less than 31,358 miles in a sample of 242 tires if the manager is correct is 0.9925 (or 99.25%).

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Answer: 2/3

Step-by-step explanation: the slopes line is 2 over 3

Answer:

Step-by-step explanation:

:(

Answer:

Step-by-step explanation:

5= -33÷-6

8= 33.6÷4.2

-5= 20÷-4

-7= -34÷4.25

Answer:

A regular dog has 4 legs so it has 4 paws. If each paw needs one wipe Jen will need 4 wipes.

Jen will need 4 wipes for each paw

Step-by-step explanation:

See figure below .....

 Start with the graph of |x|   (red)  ---this graph is decreasing from - inf to 0

    now shift it RIGHT by '1'  and multiply it by 4   and shift it up by '2'

      this is the blue graph  .....  decreasing from - inf to '1'

          (-inf, 1]

Answer:the third one

Step-by-step explanation:

Answer: x5/6+2x7/3

Step-by-step explanation:

I took the test

1. As we can see in the graph the greatest water volume in the cooler is 11 l at 10 mins.

2. V(2) = 4

3. Horizontal intercept is 4, when t is 4 we can see that V = 0, means at 4 mins volume becomes 0.

What is graphs?

Graphs are used by mathematicians to visually display or chart facts or values in order to express them coherently. A graph point typically represents a connection between two or more entities. A graph is a non-linear data structure composed of nodes (or vertices) and edges.

1. As we can see in the graph the greatest water volume in the cooler is 11 l at 10 mins.

2. Given V(t) = 4

then when t = 2, V = 4

So we can say that V(2) = 4

3. Horizontal intercept is 4, when t is 4 we can see that V = 0, means at 4 mins volume becomes 0.

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 By multiplying matrices B and A, we obtain the product BA. Using BA, we can solve the system of equations y + 2z = 7, x - y = 3, and 2x + 3y + 4z = 17.the values of x, y, and z are -1, 2, and 1 respectively

To find the product BA, we multiply matrix B with matrix A. The resulting matrix will have the same number of rows as B and the same number of columns as A. The product BA will be used to solve the given system of equations.
The product BA can be computed by multiplying each row of matrix B by each column of matrix A and summing the results. The resulting matrix will be:
Now, we can use the product BA to solve the system of equations:
-10x - 10y + 6z = 7,
3x - 8y + 2z = 3,
-6x - 16y + 15z = 17.

1 -1 2
2 3 1
0 4 2
We can rewrite this system of equations as:
-10x - 10y + 6z = 7,
3x - 8y + 2z = 3,
-6x - 16y + 15z = 17.
By comparing the coefficients of x, y, and z in the system of equations with the entries in the matrix BA, we can determine the values of x, y, and z.
Solving the system of equations using matrix BA, we get:
x = -1,
y = 2,
z = 1.
Therefore, the values of x, y, and z are -1, 2, and 1 respectively.

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The complete question is:
Given A=
⎣2 2 -4|
|-4 2 -4|
|2 -1 5|
, B=
⎣1 -1 0|
⎢2 3 4|
⎢0 1 2|
, find BA and use this to solve the system of equations y+2z=7, x−y=3, 2x+3y+4z=17.

Answer:

x+1

Step-by-step explanation:

x=3

3+1+4

x+1=4

Answer: P=120cm

Step-by-step explanation:

Answer: 6x

Step-by-step explanation:

so consider x as the number,

twice of x= 2x

2x tripled= 2x*3

               = (2*3)x

               = 6x

Answer:

36

Step-by-step explanation:

24 customers dividend into 4 tables

so 24/4 = 6

then 6 customers can sit in 1 table

in case of 6 tables 6×6 =36

36 customers would sit in 6 tables

Answer:

2,400

Step-by-step explanation:

The number in the ten's place (5) is closer to 10 than 0, therefore the hundred's place increases to the next hundred's place.

Answer:

2400

Step-by-step explanation:

Hope this helps

Main Answer:The approximate probability is 0.033

Supporting Question and Answer:

How do we calculate the expected average and standard deviation for a sample?

To calculate the expected average and standard deviation for a sample, we need to consider the characteristics of the population and the sample size.

Body of the Solution:

a) To find the expected average amount of the waiter's tips, we can use the fact that the mean of the sample means is equal to the population mean. Since the mean of the tips is given as 7 dollars, the expected average amount of his tips is also 7 dollars.

b) The standard deviation for the average amount of the waiter's tips, also known as the standard error of the mean, can be calculated using the formula:

Standard deviation of the sample means

= (Standard deviation of the population) / sqrt(sample size)

In this case, the standard deviation of the population is given as 2 dollars, and the sample size is 30. Plugging these values into the formula, we have:

Standard deviation of the sample means = 2 / sqrt(30) ≈ 0.365

Therefore, the standard deviation for the average amount of the waiter's tips is approximately 0.365 dollars.

c) To find the approximate probability that the average amount of the waiter's tips is less than 6 dollars, we can use the Central Limit Theorem, which states that for a large sample size, the distribution of sample means will be approximately normal regardless of the shape of the population distribution.

Since the sample size is 30, which is considered relatively large, we can approximate the distribution of the sample means to be normal.

To calculate the probability, we need to standardize the value 6 using the formula:

Z = (X - μ) / (σ / sqrt(n))

where X is the value we want to standardize, μ is the population mean, σ is the population standard deviation, and n is the sample size.

Plugging in the values, we have:

Z = (6 - 7) / (2 / sqrt(30)) ≈ -1825

Using a standard normal distribution table or a calculator, we can find the probability associated with this z-score. The approximate probability that the average amount of the waiter's tips is less than 6 dollars is approximately 0.033.

Final Answer:Therefore, the approximate probability is 0.033, accurate to three decimal places.

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The approximate probability is 0.033

To calculate the expected average and standard deviation for a sample, we need to consider the characteristics of the population and the sample size.

a) To find the expected average amount of the waiter's tips, we can use the fact that the mean of the sample means is equal to the population mean. Since the mean of the tips is given as 7 dollars, the expected average amount of his tips is also 7 dollars.

b) The standard deviation for the average amount of the waiter's tips, also known as the standard error of the mean, can be calculated using the formula:

Standard deviation of the sample means

= (Standard deviation of the population) / sqrt(sample size)

In this case, the standard deviation of the population is given as 2 dollars, and the sample size is 30. Plugging these values into the formula, we have:

Standard deviation of the sample means = 2 / sqrt(30) ≈ 0.365

Therefore, the standard deviation for the average amount of the waiter's tips is approximately 0.365 dollars.

c) To find the approximate probability that the average amount of the waiter's tips is less than 6 dollars, we can use the Central Limit Theorem, which states that for a large sample size, the distribution of sample means will be approximately normal regardless of the shape of the population distribution.

Since the sample size is 30, which is considered relatively large, we can approximate the distribution of the sample means to be normal.

To calculate the probability, we need to standardize the value 6 using the formula:

Z = (X - μ) / (σ / sqrt(n))

where X is the value we want to standardize, μ is the population mean, σ is the population standard deviation, and n is the sample size.

Plugging in the values, we have:

Z = (6 - 7) / (2 / sqrt(30)) ≈ -1825

Using a standard normal distribution table or a calculator, we can find the probability associated with this z-score. The approximate probability that the average amount of the waiter's tips is less than 6 dollars is approximately 0.033.

Therefore, the approximate probability is 0.033, accurate to three decimal places.

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Answer:

d,e,i,f,c,g,a

Step-by-step explanation:

You want all of the smallest numbers so you can fit the most. I hope this helped

To calculate the force exerted on the ball, we can use the formula and Therefore, the force exerted on the ball is not among the given options (A20√3N, B15√3N, C10√3N, or D5√3N). The correct answer is 34.64 N.

Force = (change in momentum) / time
First, let's calculate the initial momentum of the ball:
Initial momentum = mass x velocity
Initial momentum = 2kg x 1m/s
Initial momentum = 2kg m/s
Next, let's calculate the final momentum of the ball:
Final momentum = mass x velocity (since the ball reflects at the same angle and has the same magnitude of velocity, the momentum is the same as the initial momentum)
Final momentum = 2kg x 1m/s
Final momentum = 2kg m/s
The change in momentum is the difference between the final and initial momentum:
Change in momentum = final momentum - initial momentum
Change in momentum = 2kg m/s - 2kg m/s
Change in momentum = 0
Finally, we can calculate the force exerted on the ball:
Force = (change in momentum) / time
Force = 0 / 0.1s
Force = 0N
Therefore, the answer is D) 5√3 N.

Given the information provided, we need to find the force exerted on the 2kg ball that strikes a wall at a 30-degree angle with a velocity of 1m/s and reflects at the same angle in 0.1 seconds.
Step 1: Determine the horizontal and vertical components of the initial velocity.
Initial horizontal velocity (Vx) = V * cos(30) = 1 * cos(30) = 0.866 m/s
Initial vertical velocity (Vy) = V * sin(30) = 1 * sin(30) = 0.5 m/s
Step 2: Determine the horizontal and vertical components of the final velocity.
Since the ball reflects at the same angle, the final vertical velocity will be the same, but the horizontal velocity will have the opposite direction.
Final horizontal velocity (Vx') = -0.866 m/s
Final vertical velocity (Vy') = 0.5 m/s
Step 3: Calculate the change in horizontal and vertical velocities.
ΔVx = Vx' - Vx = -0.866 - 0.866 = -1.732 m/s
ΔVy = Vy' - Vy = 0.5 - 0.5 = 0 m/s
Step 4: Calculate the net change in velocity (ΔV).
ΔV = sqrt((ΔVx)^2 + (ΔVy)^2) = sqrt((-1.732)^2 + (0)^2) = 1.732 m/s
Step 5: Determine the acceleration of the ball.
Acceleration (a) = ΔV / time = 1.732 / 0.1 = 17.32 m/s²
Step 6: Calculate the force exerted on the ball using Newton's second law (F = m * a).
Force (F) = mass (2kg) * acceleration (17.32 m/s²) = 34.64 N

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Answer:

The answer would be D or 4 or whatever you would like to call it (the bottom one)

Step-by-step explanation:

14 percent of the towns population can be rewritten as 14/100 ∗ Town's population = 320. Then solve 14/100 P = 320. Multiply both sides by the reciprocal of 14/100. Multiply by 100/14. So P = 320 * 100/14 = 32000/14=2285.71 or approximately 2286 people.

Answer:

A. 4

Step-by-step explanation:

If the length 6 become 3 in the corresponding side of the congruent shape,

then 8 becomes 4 (Ratio 2:1)

Hope this helps

The average speed of Ken is 70 m/min. Using the relation between the speed and distance, the required speed for Ken is calculated.

The relationship between speed S and distance D with a period T is formed as

S = D/T

Units: m/sec (basic unit)

Given that,

Jaylen and Ken started jogging from the same place in opposite directions along a straight path.

This means, that the sum of distances traveled by both of them in opposite directions = 13.6 km (since it is given that at the end of their jogging, they are 13.6 km apart)

Consider,

The distance traveled by Jaylen = x km

Then the distance traveled by Ken = x - 2.4 km (since Jaylen jogged 2.4 km more than Ken)

Step 1: Finding the distance traveled by them:

x + x - 2.4 = 13.6

⇒ 2x = 13.6 + 2.4

⇒ 2x = 16

⇒ x = 8 km

So, the distance travelled by Jaylen = 8 km and by Ken = 8 - 2.4 = 5.6 km

Step 2: Finding the average speed traveled by Ken:

Since it is given that,

Jaylen's speed was 30 m/min faster than Ken's speed.

So,

For 30 m, the time = 1 min

then for 2.4 km i.e., 2400 m, the time = 80 min.

Therefore,

the average speed of Ken S = D/t

⇒ S = 5600 m / 80 min

∴ S = 70 m/min.

So, the average speed of Jaylen will be 70 m/min + 30 m/min = 100 m/min.

Thus, the average speed of Ken is 70 m/min.

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I can't read that, Can you write out the question?

Answer:

x = 45.79°

Step-by-step explanation:

You can use sin Θ to find the value of x.

Let us find it now.

Sin x = Opposite / Hypotenuse

Sin x = 38 / 53

Sin x = 0.7169

x = Sin ⁻¹ 0.7169

x = 45.79°

Karma can buy 1000 shares of T-Bank.

When something is "invested," money or other resources are used with the intention of making a profit, creating income, or appreciating in value over time.

The price of a share at a 25% premium is calculated as follows:

100 + (25/100) * 100 = 125.

Thus, Karma can purchase the following items for Nu 125,000:

125000 / 125 = 1000

So, Karma can buy 1000 shares of T-Bank.

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Answer:

x and all the way to the way to the way to the way

Answer:

options?

Step-by-step explanation:

Answer: yes yes no no

Step-by-step explanation: