Solve each equation.Check your solution

The probability that X is greater than 145.28 is approximately 0.0465.

Given that X is normally distributed with mean (μ) of 110 and standard deviation (σ) of 21. We are to find the probability that X is greater than 145.28. It can be calculated as follows: We can calculate the Z-score value with the help of the following formula, Z = (X - μ) / σWhere X is the random variable value, μ is the mean, and σ is the standard deviation. Substituting the values in the formula, we get: Z = (145.28 - 110) / 21Z = 1.68476 Using the Z-table, we can find the probability that X is greater than 145.28 as follows: From the Z-table, we get: P(Z > 1.68) = 0.0465

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. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.

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There ought to be infinitely many solutions.

How many solutions can a system of 3 linear equations with 5 variables have?

There are infinitely many solutions. Assuming the 3 linear equations are linearly independent you have 2 free variables that can be chosen freely and depending on those two values you can find the 3 remaining variables as function of those two so for any choice of those two variables you can find a solution. If the equations are not linearly independent you have effectively only 1 or two equations so you can pick 4 or 3 variables freely and then the remaining variable or variables are function of these.

How do you solve a system of equations with 3 variables?
Simultaneous equations. Easy, if they are all linear. Possibly difficult otherwise. Basically pick 1 variable and 1 equation to rearrange so that variable is expressed in terms if the other 2. Then simplify. Now you have 2 equations in 2 variables. Repeat with the remaining 2 variables. When you have solved for the last variable, you can then substitute to solve for the second last. Then backtrack to the original substitution and solve that. General advice that works even for nonlinear equations.

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The best answer is approximately Normal with a mean of 3.2 million and a standard deviation of 0.32 million.

The sampling distribution of the mean of a sample is approximately normal if the sample size is sufficiently large, regardless of the distribution of the population from which the sample is drawn.

According to the Central Limit Theorem, the mean of the sampling distribution is equal to the population mean, which is $3.2$ million. The standard deviation of the sampling distribution is equal to the population standard deviation divided by the square root of the sample size, which is \($2/\sqrt{40} \approx 0.3162$\) million.

Therefore, the best answer is approximately Normal with a mean of 3.2 million and a standard deviation of 0.32 million.

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Answer: 1/5

Step-by-step explanation:

From the question, we are informed that the gem on the queen's ring weighed 9/10 of a carat and the stone on the princess's ring weighed 7/10 of a carat.

To calculate how heavier the stone on the queen's ring was than the stone on the princess will be:

= 9/10 - 7/10

= 2/10

= 1/5

The ratio of false positives to true positives is 8 over 54.

According to the Question

Results of a strep throat test performed on a sample of 400 ill people are displayed in the table's data. People who have the flu and those who don't are separated into two categories. The patients are then separated into groups based on whether they tested positive or negative for strep throat within each of these categories.

We must first define what a true positive and a false positive are in order to calculate the ratio of false positives to true positives. A patient who tests positive for strep throat but does not actually have the illness is said to have a false positive. The 8% of patients in this instance who tested positive for strep throat but did not have the flu would fall under that category. A patient who tests positive for strep throat and truly has the illness is said to have a true positive. That would be the 54% of patients who tested positive for both the flu and strep throat in this instance.

We divide the percentage of false positives (8%) by the percentage of true positives (54%), which gives us the ratio of false positives to true positives.

As a result, the ratio becomes 8% / 54%, or 8/54.

It's critical to remember that this ratio is dependent on the sample and test performed and may not be the same for different populations or testing methodologies.

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This query relates to prices. Let's use the rate for a cold tap to represent Rc and hot water to represent Rh.

Therefore,

Since R = V/t, where t is the fill-in time, determines the rate at which the volume V tab is filled. The following can be written for both of them:

Rc = V/17

Rh = V/t

Rc + Rh = V/7

where t is the time that we need to find.

V/17 + V/t = V/7

Divide both sides by V to get:

1/17 + 1/t = 1/7

Rearrange:

1/t = 1/7 - 1/17

Bring to common denominator:

1/t = (17 - 7)/(7*17) = 10/119

Take an inverse:

t = 119/10 = 11.9 minutes.

The complete question is?

Left on together, the cold and hot water faucets of a certain bathtub take 7 minutes to fill the tub. If it takes the cold water faucet 17 minutes to fill t?

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Answer:

Step-by-step explanation:

take reference angle as A

using sin rule

sin A=opposite/hypotenuse

sin A=5/13

sin A=0.38

A=sin 22.5

A =22.5 degree

Answer:The total number of tennis ball did store sell in all is 948 

Step-by-step explanation:

Answer:

D. 12 months

Step-by-step explanation:

I got 100%

The number of months you will have to save for so that you can place a down payment of 10% is 10 months.

Option B is the correct answer.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Price of the home = $115,732.80

Downpayment = 10%

This means,

= 10/100 x 115732.80

= $11573.28

Now,

Monthly savings.

= 2624 - (1150.12 + (6.2/100 x 2624) + (1.45/100 x 2624) + 53 + 101.35)

= 2624 - (1150.12 + 162.88 + 38.048 + 53 + 101.35)

=  2624 - 1505.398

= 1118.602

Now,

The number of months to save.

= 11573.28 ÷ 1118.602

= 10.35

Thus,

The number of months to save is 10 months.

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The solution is: 3.7%, is the probability that the next customer will be a woman who requests a convertible.

Here, we have,

given that,

At a car rental office, 63% of the customers are men and 37% are women.

If 25% of people request a compact car, 37% request a full-sized, 10% request a convertible,16% request an SUV, and 12% request a luxury car

As per given

P(woman)= 37%

P(convertible) = 10%

So combined probability is:

P = 37%*10%

  = 37%*0.1

  = 3.7%

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complete question:

At a car rental office, 63% of the customers are men and 37% are women. If 25% of people request a compact car, 37% request a full-sized, 10% request a convertible,16% request an SUV, and 12% request a luxury car, what is the probability that the next customer will be a woman who requests a convertible?

Answer:

Ihdjiefsoaekfjfbskidnkalo

On a number line where A is at 5 and B is at 50, and X is the midpoint and T is somewhere between A and B, the coordinates of point T is 15 and the distance of XB is 22.5.

A number line is straight line divided by equal measures that serves as a visual representation of the real numbers.

If on a number line, a is at 5 and b is at 50, then AB = 50 - 5 = 45.

If point X is the midpoint of A and B, then X divides the distance of A to B into two equal parts.

let n = AX = XB

AB = AX + XB

45 = n + n

45 = 2n

n = 22.5

AX = XB = 22.5

If point T is 2/3 of the way from X to B, then

T = 2/3XB

T = 2/3(22.5)

T = 15

Hence, the coordinates of T is at 15 and the distance of XB is 22.5.

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Answer:

37% ;-;

Step-by-step explanation:

Answer:

37%

Step-by-step explanation:

It's kinda obvious...

The parabola's vertex is located at (-2, 8). The parabola's graph is then depicted below.

Let a be the leading coefficient and the parabola's vertex be the point (h, k). The parabola's equation will therefore be stated as,

y = a(x - h)² + k

The parabola's equation is stated as,

y = -(x + 2)² + 8

The downward-pointing parabola is represented by the negative sign.

The vertex of the parabola is at (-2, 8), according to the equation above. The parabola's graph is then depicted below.

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Answer:

No, one of the angles has to be 90º for it to be a right triangle

Step-by-step explanation:

Answer:

no. it doesn't have a right angle.

Answer: First, order them in the order of smallest to largest, which is 40, 60, 70, 80, 80. Then, since there are 5 numbers, the 3rd number, which is 70, would be the median.

Then, add all numbers:

40+60+70+80+80=330

and divide that by 5:

330/5=66

So, the median is 70 and the mean is 66.

Step-by-step explanation:

First, we want to note two things:

We can describe this with an inequality:  x ≥ -10
Be sure you use ≥ and not >, since -10 is included.

We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.

You can also use set-builder notation: { x | x ≥ -10 }

Based on the information in the image, we can infer that the volume of the cone would be 29.01mi³

To find the volume of the cone we must perform the following mathematical operation, in this case we must use the following formula:

The formula for the volume of a cone is V=1/3hπr².

Then we must replace the values as shown below:

According to the above, the volume of this cone would be: 29.01mi³

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Answer:

529 cm²

Step-by-step explanation:

\(\boxed{Area \: of \: square= side ×side}\)

Area of the square

= 23 ×23

= 529 cm²

Answer:

736x-89

Step-by-step explanation:

i think all you can do here is add the numbers that have an X in them so adding 689x+47x=736x and you leave the 89 so it becomes 736x-89

Answer:

736x-89

Step-by-step explanation:

first add the like terms (numbers with the same variables)

so now the equation is 736x-89

Answer:

x×2+13=5

Step-by-step explanation:

We use x as the unknown number, and we just put what's in the word problem! The answer is in the question.

Equation Set-Up

x×2+13=5

Remember order of operations! (PEMDAS)

Then you solve the equation.

Because of PEMDAS, we know that multiplication is the first thing we have to do.

x×2=2x

So now, our equation looks like this.

2x+13=5

We subtract 13 from the +13 to cancel it out, but that means that we also have to subtract 13 from the 5 on the other side. We are now left with this.

2x=-8

Then, we divide -8 by 2, which gives us...

x=-4

Pablo's number is -4.

I hope I helped! Have a great day.

Answer:

92

Step-by-step explanation:

68+74+86+x/4 ≤ 80

Answer:

$3.3 tax

Final price is 36.3

Step-by-step explanation:

Firstly, if the tax is expressed in percent, divide the tax rate by 100. You can do this by simply moving the decimal point two spaces to the left. In this example, we do 10/100 = 0.1

tax= 33 * 0.1

tax=3.3

Finally, add tax to the before tax price to get the final price including tax.

The final price including tax = 33 + 3.3 = 36.3

The correct answer is 2 (C) - 2 days is the total slack for activity F. To determine the total slack for activity F, we need to calculate the slack for each activity in the network. Slack refers to the amount of time an activity can be delayed without affecting the project completion time.

1. First, let's draw the network using the information provided:
  - A is the start node and G is the stop node.
  - Activity A has a duration of 5 days and has no predecessor.
  - Activities B, C, and D have durations of 8, 7, and 6 days respectively, and their predecessors are A.
  - Activity E has a duration of 9 days and its predecessors are B, C, and D.
  - Activity F has a duration of 10 days and its predecessors are B, C, and D.
  - Activity G has a duration of 5 days and its predecessors are E and F.

                 A
                /|\
               / | \
              /  |  \
             B   C   D
              \  |  /
               \ | /
                \|/
                 E
                 |
                 F
                 |
                 G

2. Now, let's calculate the slack for each activity:
  - Slack is calculated by subtracting the earliest start time of an activity from the latest start time without delaying the project completion time.
  - The earliest start time for activity F is 17 days.
  - The latest start time for activity F is 19 days (project completion time is 22 days).
  - Total slack for activity F = latest start time - earliest start time = 19 - 17 = 2 days.

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The maximum magnitude of acceleration is approximately 4.085 m/s².

To find the period of the motion, we need to determine the time it takes for the peg to complete one full revolution around the circle. The period can be calculated using the formula:

T = 2πr/v

where T is the period, r is the radius of the circle, and v is the tangential speed of the peg.

Given:

r = 0.19 m

v = 0.88 m/s

Substituting these values into the formula, we have:

T = 2π(0.19 m)/(0.88 m/s)

T ≈ 0.432 s

Therefore, the period of the motion is approximately 0.432 seconds.

Part E: To find the amplitude, we can use the radius of the circle since the motion is along a circular path. The amplitude is equal to the radius of the circle:

Amplitude (A) = 0.19 m

Part F: The maximum displacement is equal to the diameter of the circle since the peg moves from one extreme point to the other:

Maximum Displacement = 2 * 0.19 m = 0.38 m

Part G: The maximum magnitude of acceleration occurs at the extreme points of the circular path. It can be calculated using the formula:

amax = v²/r

where amax is the maximum acceleration, v is the tangential speed, and r is the radius of the circle.

Substituting the given values, we have:

amax = (0.88 m/s)² / 0.19 m

amax ≈ 4.085 m/s²

Therefore, the maximum magnitude of acceleration is approximately 4.085 m/s².

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It will take to complete the entire order of sneakers in 8 days.

To find out how long it will take to complete the entire order of sneakers, you need to multiply the time it takes to complete 1/10 of the order by the total number of orders. Since there are 10 orders in the entire order of sneakers, it will take 10 times as long to complete the entire order as it does to complete 1/10 of the order.

Since it takes 4/5 of a day to complete 1/10 of the order, it will take 4/5 * 10 = 8 days to complete the entire order. Therefore, the answer is 8 days.

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At given rate, it will take 8 days to complete the entire order of sneakers

In this questiion we have been given at Sami's Shoe Warehouse, it takes 4/5 day to complete 1/10 of an order of sneakers.

We need to find the number of days it will take to complete the entire order of sneakers, at this rate.

It takes 4/5 day to complete 1/10 of an order of sneakers.

If we multiply a fraction by 10 then it would be 10/10

This means, 10/10 represents the complete order of sneakers.

4/5 days are required to complete 1 of 10 order of sneakers.

For 10 of 10 order of sneakers:

By unitary method,

10 × 4/5

= 2 × 4

= 8 days

So, it will take 8 days to complete the order.

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Answer:

374 feet^2

Step-by-step explanation:

Surface area:

area of cross section x 2 = 110feet^2

area of tope x 2 = 264 feet^2

sum / Surface area: 374 feet^2

Answer:

1. x = \(3\frac{5}{8}\)

2. x = \(4\frac{3}{4}\)

3. x = 125

4. x = 3

Step-by-step explanation:

Fraction = number of parts / total parts

Every fraction has a numerator that equals the number of parts we have and a denominator equaling the total number of parts in a whole.

\(\\ \rm\rightarrowtail x+3\dfrac{5}{8}=7\dfrac{1}{4}\)

\(\\ \rm\rightarrowtail x+\dfrac{29}{8}=\dfrac{29}{4}\)

\(\\ \rm\rightarrowtail x=\dfrac{29}{4}-\dfrac{29}{8}\)

\(\\ \rm\rightarrowtail x=\dfrac{29}{8}\)

\(\\ \rm\rightarrowtail x=3\dfrac{5}{8}\)