The heights of adult men in America are normally distributed, with a mean of 69.2 inches and a standard deviation of 2.64 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.2 inches and a standard deviation of 2.53 inches.

Point d is at (5, -5), which is five units to the right of the origin on the x-axis and five units below the origin on the y-axis. Similarly, point e is at (7, 3), point f is at (-1, 5), and point G is at (-3, -3).

The given points, d (5, -5), e (7, 3), f (-1, 5), and G (-3, -3) form quadrilateral DEFG. To plot these points, we can first draw the x and y axes on a graph paper.

Then, we can plot each point by locating its x-coordinate on the x-axis and its y-coordinate on the y-axis.

After plotting the points, we can click on the "Graph Quadrilateral" button to see the quadrilateral DEFG. It should be a closed shape with four sides, connecting the four points in the given order.

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Answer: 5th degree polynomial with a leading term of 3/4

Step-by-step explanation:

The Nearest tenth of a second, the flag is in the air for approximately 0.1 seconds before Zack catches it.

To determine the time the flag is in the air before Zack catches it, we can use the kinematic equation for vertical motion:

h = 16t^2 + vt + s

Where:

h is the height of the flag,

t is the time in seconds,

v is the initial vertical velocity of the flag,

s is the initial height of the flag.

In this case, the flag is thrown into the air from a height of 5 feet (s = 5) with an initial vertical velocity of 30 feet per second (v = 30). Zack catches it at a height of 7 feet (h = 7).

We can rewrite the equation as:

7 = 16t^2 + 30t + 5

To find the time (t) when the flag is at a height of 7 feet, we can rearrange the equation and solve for t. However, since this is a quadratic equation, we can also use the quadratic formula.

The quadratic equation in this case is:

16t^2 + 30t + 5 - 7 = 0

16t^2 + 30t - 2 = 0

Now, we can use the quadratic formula:

t = (-b ± √(b^2 - 4ac)) / (2a)

Applying the values from the quadratic equation, we have:

t = (-30 ± √(30^2 - 4 * 16 * (-2))) / (2 * 16)

Simplifying further:

t = (-30 ± √(900 + 128)) / 32

t = (-30 ± √1028) / 32

Using a calculator, we find two solutions:

t ≈ -1.08 seconds or t ≈ 0.06 seconds

Since time cannot be negative in this context, we discard the negative solution.

Therefore, to the nearest tenth of a second, the flag is in the air for approximately 0.1 seconds before Zack catches it.

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The required present value needed now to get $700 after 4 years at 11% compounded monthly is $451.73.

To find the present value of $600 after 4 years at 7% compounded monthly, we can use the formula for compound interest:

Compound Interest =P(1+r/n)^rt

Substituting the given values, we get:

Compound Interest =600 (1+7/n)^4

Simplifying this equation, we get

P = 600 / 1.487

P = 451.73

Therefore, the present value needed now to get $600 after 4 years at 7% compounded monthly is $451.73.

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The estimate the number of households in the sample that lost electricity by giving the mean of the relevant distribution is 3.5 and the quantify the uncertainty of your estimate by giving the standard deviation of the distribution is 1.64.

As per the question given,  

Imagine you're in Portland, Oregon, and a rainstorm has just passed through, causing a power outage in 7% of the households in the city. Now suppose you take a random sample of 50 households to see how many of them were affected by the outage. How can you estimate the number of households in the sample that lost electricity, and how certain can you be of your estimate?

By using the binomial distribution with parameters n=50 and p=0.07, we can calculate that the average number of households in a random sample of 50 that lost electricity is 3.5. This means that we can expect around 3 or 4 households in the sample to have been affected by the power outage on average.

But we don't just want to know the average - we also want to know how much variation we can expect in our sample. By calculating the standard deviation of the distribution, we can see that the number of households that lost electricity in a sample of 50 is likely to vary by around 1.64 on average.

Of course, it's important to keep in mind that these calculations assume that our sample is random and representative of the population of Portland households, and that there are no dependencies or correlations between households that could affect the probability of losing electricity during the rainstorm. But armed with this information, we can make a reasonable estimate of the number of households affected by the power outage and have a sense of how uncertain our estimate is likely to be.

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Answer:

Question 1: The appropriate measures of center for this data set would be (1) Mean and (2) Median. There is no mode in this data set as there are no repeating values.

Question 2: To find the standard deviation, we first need to find the mean:

Mean = (513 + 490 + 496 + 380 + 490 + 513 + 503 + 513 + 500 + 492) / 10 = 494.0

Next, we find the difference between each data point and the mean:

(513 - 494.0), (490 - 494.0), (496 - 494.0), (380 - 494.0), (490 - 494.0), (513 - 494.0), (503 - 494.0), (513 - 494.0), (500 - 494.0), (492 - 494.0)

19, -4, 2, -114, -4, 19, 9, 19, 6, -2

Then we square each difference:

361, 16, 4, 12996, 16, 361, 81, 361, 36, 4

The sum of these squared differences is:

361 + 16 + 4 + 12996 + 16 + 361 + 81 + 361 + 36 + 4 = 14136

To find the variance, we divide the sum of squared differences by the number of data points minus one:

Variance = 14136 / 9 = 1570.7

Finally, we find the standard deviation by taking the square root of the variance:

Standard deviation = √1570.7 ≈ 39.6 (rounded to the tenths place)

Step-by-step explanation:

Answer:

49.680

Step-by-step explanation:

the tenth is not small

The coordinates of B after translation of (x, y-6) is (3, 4-6) = (3, -2)

We can use a system of equations to solve x + 8 = 12 and the both equations are true, we can conclude that the number is 4.

What is system of equations ?

A system of equations is a collection of two or more equations that are solved simultaneously to find the values of the variables that satisfy all of the equations. Each equation in the system represents a constraint on the variables, and the solution to the system is the set of values for the variables that satisfy all of the constraints.

We can use a system of equations to solve this problem. If the number in question is called "x", we can write:

x + 8 = 12

y

3 * x = 12

Now we can solve for "x". First, we will isolate "x" from the first equation:

x + 8 = 12

x = 12 - 8

x = 4

Now we can check if this result also satisfies the second equation:

3 * x = 12

3 * 4 = 12

Since both equations are true, we can conclude that the number is 4.

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Answer:

The total value of the discount is $14

Step-by-step explanation:

40 x 0.35 = 14

Answer:

y = 15 , x = 6

Step-by-step explanation:

you can easily find y from first equation

Move y to the other side of the equation and reverse its sign

so (-11) changes to (+11) and now we have this equation

y = 15

now you must replace 15 instead of y in second equation ,then we have this equation

15 = 2x + 3

now we have to find x

move (+3) to other side of equation and reverse its sign

(+3) changes to (-3)

we have this equation now

15 - 3 = 2x

12 = 2x

x = 12 ÷ 2 = 6

Answer: 0.00923521

Step-by-step explanation:

Given : The probability U.S households play video or computer games=69%=0.69

here, the probability of each U.S household play video or computer games is fixed as 0.69

Then, the probability of each U.S household not play video or computer games= 1-0.69=0.31

For independent events the probability of their intersection is product of probability of each event.

Now, the probability that none play video/computer games will be :-

\((0.31)^4=0.00923521\)

The income under variable costing for 2023 for Concord Corporation is $73600.

The formula to calculate the net income will be:

= Total sales - Total variable cost - Total fixed cost

= (7600 × 24) - (4400 + 50 × 24) - 2000

= 182400 - 106800 - 2000

= 73600

Therefore, the income under variable costing for 2023 for Concord Corporation is $73600.

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Answer:

804

Step-by-step explanation:

Just use a calculator.

Multiply liters per minute by number of minutes and add that to the starting amount.

W = 34t + 400

now replace t with 16 and solve:

W = 34(16) = 400

W = 544 + 400

W = 944

After 16 minutes there are 944 liters in the pond

Answer:

C - 403

Step-by-step explanation:

Answer:

After calculating values from test statics we come to know that value of if null hypothesis is true then it will rejected

As critical values of z is ±1.96 after apply the test statics formula , we get the value of z that is - 4.50 As we consider the equation that

H₀ > z

Apply test statistic we fine the true value . So there is sufficient evidence to reject the claim.

Step-by-step explanation:

critical values z₀ = ±1.96; standardized test statistic z ≅ -4.50;

reject H₀

There is sufficient evidence to reject the claim.

Answer:

LOL i don't even know

Step-by-step explanation:

Answer:

63

Step-by-step explanation you just killed my brainmeats

Answer:

x = 11

Step-by-step explanation:

The two angles measuring (7x + 14)° and (9x - 8)° are corresponding angles, which are always congruent to each other and thus equal to each other.  

Step 1:  Thus, we can find the value of x by setting the two angles equal to each other:

7x + 14 = 9x - 8

7x + 22 = 9x

22 = 2x

11 = x

Optional Step 2:  We can check that we've found the correct answer by plugging in 11 for x in both (7x + 14) and (9x - 8) and checking that we get the same number:

7(11) + 14 = 9(11) - 8

77 + 14 = 99 - 8

91 = 91

Answer: The percentage of people surveyed who liked blue cars is 50%.

Step-by-step explanation:

Total number of people partaking in survey= 36

number of people who like blue cars= 18

therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)

hence, percentage of people who liked blue cars= (18/36)*100 %

                                                                                  = 50%  

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Answer:

Percentage of people who like blue-coloured cars is 50%

Number of people who were surveyed=36

Number of people who like blue-colored cars=18

Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100

=(18/36)*100

=50%

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The circumcenter of the triangle will be at (-1, 0.5). Then the correct option is B.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

The triangle is a right-angle triangle. And the endpoints of the hypotenuse will be (-3, 3) and (1, -2).

We know that circumcircle passes through all the vertices of the triangle.

But in the case of a right-angle triangle, the center of the circumcircle lies in the middle of the hypotenuse. Then we have

(x, y) = [(- 3 + 1) / 2, (3 - 2) / 2]

(x, y) = (-2 / 2, 1 / 2)

(x, y) = (-1, 0.5)

The circumcenter of the triangle will be at (- 1, 0.5). Then, at that point, the right choice is B.

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The money he will have in this account if he keeps it for 5 years is $358.

Compound interest is the term used to describe interest on savings that is calculated using both the initial principal and interest that has accrued over time. You can earn interest on interest, which is known as compound interest.

WE have given $100 and it earns 5% interest annually, you will have $105 at the end of the first year. You will have $110.25 by the conclusion of the second year.

Given,

P = $800

Time t=5 years

Interest rate= 2.9%

Hence, the amount will have in his account is:

=\(P(1 + 10 / 2000)^{2t}\)

Here, the interest is compounded semiannually.

\(800 (1 + 2.9 / 200)^{10}\)

=$358

Therefore, if the interest rate is compounded semiannually then the money he will have in this account if he keeps it for 5 years is $358.

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Answer:

B

Step-by-step explanation:

From the graph, we know when x -> -∞, y -> 3

Note x -> -∞, 2^x -> 0

so only A and B may be right.

Note y-intercept is 7 when x = 0, so only B is right

Answer:

ST and WX

Step-by-step explanation:

flipped around st and wx mathched

Answer:

ST and WX

Step-by-step explanation:

Answer:

X = 32

Step-by-step explanation:

Angle BEC = 43 degrees

You find X by setting up the equation 137 = 3x+41

Solve for x

You find angle BEC by subtracting 137 from 180, finding the acute angle that brings the obtuse angle up to 180 degrees (a flat line)

Answer:

x = 32 degree and angle BEC = 43 degree

Step-by-step explanation:

3x + 41 = 137 degree (being vertically opposite angles)

3x = 137 - 41

x = 96/3

x = 32

angle BEC be y

137 + y =180 degree (being linear pair)

y = 180 - 137

y = 43 degree

therefore angle BEC = 43 degree

The angles that we have in the image here are:

When two angles are measured, they sum up to 180. They are said to be supplementary angles.

On the question, we have two angles that are 90 degrees on a straight line. Hence they are supplementary.

This is an angle that is at 90 degrees. We have to two right angles on the diagram that we have here.

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Answer:

y=0x-5

Step-by-step explanation:

hope this helps :3

if it did pls mark brainliest

In June, A.B.C company invested $20,000, purchased equipment, paid insurance premium, bought office supplies, billed students for tutorial services, received cash, paid for supplies, withdrew personal funds.

Accounting Cycles:

1. June 1:

  - A.B.C company invests $20,000 in the business.

  - Prepare the journal entry:

    - Debit: Cash ($20,000)

    - Credit: Capital ($20,000)

2. June 3:

  - Purchased equipment for $12,100.

  - Prepare the journal entry:

    - Debit: Equipment ($12,100)

    - Credit: Cash ($12,100)

3. June 4:

  - Paid $220 premium for an insurance policy.

  - Prepare the journal entry:

    - Debit: Insurance Expense ($220)

    - Credit: Cash ($220)

4. June 6:

  - Purchased office supplies on account for $140.

  - Prepare the journal entry:

    - Debit: Office Supplies ($140)

    - Credit: Accounts Payable ($140)

5. June 9:

  - Purchased a new computer for $9,000. Paid 40% in cash and agreed to pay the remainder later.

  - Prepare the journal entry for the cash payment:

    - Debit: Computer ($3,600) [40% of $9,000]

    - Credit: Cash ($3,600)

  - Prepare the journal entry for the remaining amount:

    - Debit: Computer ($5,400)

    - Credit: Accounts Payable ($5,400)

6. June 10:

  - Billed student Omar $58 for tutorial services performed.

  - Prepare the journal entry:

    - Debit: Accounts Receivable ($58)

    - Credit: Tutorial Services Revenue ($58)

7. June 14:

  - Paid for the supplies purchased on June 6th ($140).

  - Prepare the journal entry:

    - Debit: Accounts Payable ($140)

    - Credit: Cash ($140)

8. June 15:

  - The owner suggested purchasing a new building for the company for $22,000.

  - No journal entry is required at this point. It is a decision made by the owner.

9. June 25:

  - Received $85 cash from student Salim Ali for tutorial services performed.

  - Prepare the journal entry:

    - Debit: Cash ($85)

    - Credit: Accounts Receivable ($85)

10. June 30:

   - Student billed on June 10 pays the amount due ($58).

   - Prepare the journal entry:

     - Debit: Cash ($58)

     - Credit: Accounts Receivable ($58)

11. June 30:

   - A.B.C company withdraws $60 for personal use.

   - Prepare the journal entry:

     - Debit: Withdrawals ($60)

     - Credit: Cash ($60)

These transactions represent the accounting cycles for the given period.

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Answer:

$61.29 per day.

Step-by-step explanation:

Checking account balance on February 1st: $443

Checking account balance on February 7th: $872

Difference in balances: $872 - $443 = $429

Number of days between February 1st and February 7th: 7 days

Rate of change = Difference in balances / Number of days

Rate of change = $429 / 7 days

To find the rate of change per day, divide the difference in balances by the number of days:

Rate of change = $429 / 7 days ≈ $61.29 per day

Therefore, the rate of change in your checking account balance during that period was approximately $61.29 per day.

Work Shown:

Complementary angles add to 90 degrees.

A+B = 90

(3x+18)+(2x+17) = 90

5x+35 = 90

5x = 90-35

5x = 55

x = 55/5

x = 11

Then we can determine each angle:

As a check: A+B = 51+39 = 90 to confirm the answer.