Suppose that in a particular sample, the mean is 12.31 and the standard deviation is 1.47. What is the raw score associated with a z score of –0.76?

1) Note that we can see the following function:

Note that we can see that this function f is vertically stretched, translated 1 unit to the side, and vertically shifted one unit

2) Now, let's visualize h(x):

Note that the difference between the graph of f and the graph of h(x) is h(x) is translated 5 units to the right.

So h(x) is horizontally translated 5 units to the right

Answer:

11:27 am.

Step-by-step explanation:

The time which has passed when Tom overtakes Hazel is after Hazel has walked 1 hr 15 minutes and in that time Hazel has walked

1.25 * 4.8

= 6 km.

So, Tom runs 6 km in 10:15 - 9.39 = 36 minutes

= 0.6 hrs.

So, Tom's speed is 6/0.6 = 10 km/hr.

,

and Tom will take 18/10 = 1.8 hours to finish the route,

= 1 hr 48 minutes

So he finishes the route at

9:39 + 1:48

= 11:27 am.

Answer: 22

Step-by-step explanation:

I got it right on khan academy

Mrs. Richardson makes a profit of $21.33 from each flower arrangement for the wedding.

To calculate the profit, we subtract the cost from the selling price. Mrs. Richardson's cost for arranging the bouquet is $13.67, and she charges the bride $35 for the arrangement.

Profit = Selling Price - Cost

Profit = $35 - $13.67

Profit = $21.33

Therefore, Mrs. Richardson makes a profit of $21.33 from each flower arrangement for the wedding.

In this scenario, the profit is calculated by subtracting the cost of arranging the bouquet from the selling price. The cost incurred by Mrs. Richardson is $13.67, which includes the expenses for materials, labor, and any other associated costs. On the other hand, the selling price is $35, which is what the bride pays for the arrangement.

By subtracting the cost from the selling price, we find that the profit per arrangement is $21.33. This means that Mrs. Richardson earns $21.33 for each bouquet she arranges for a wedding, after covering her costs.

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You need to find 84% of 4200 to get the amount of students.  First change the percent to a decimal, and multiply 0.84 x 4200.

There were 3528 total students at the theater.

The equations of the parabola are y = (x - 1)(x - 7), y = -(x + 1)(x - 5) and y = (x + 8)(x + 4)

Other properties are below

The equation of a parabola in factored form is represented as

y = a(x - x₁)(x - x₂)

Where

x₁ and x₂ are the x-intercepts of the function

Using the above as a guide, we have the following:

Function 1

y = a(x - 1)(x - 7)

Using the points in the graph, we have

a(4 - 1)(4 - 7) = -9

a = 1

So, the function is

y = (x - 1)(x - 7)

Set x = 0 for the y-intercept

y-intercept = (0 - 1)(0 - 7)

y-intercept = (0, 7)

The x-intercepts are (1, 0) and (7, 0)

Lastly the vertex is (4, -9)

Function 2

y = a(x + 1)(x - 5)

Using the points in the graph, we have

a(2 + 1)(2 - 5) = 9

a = -1

So, the function is

y = -(x + 1)(x - 5)

Set x = 0 for the y-intercept

y-intercept = -(0 + 1)(0 - 5)

y-intercept = (0, 5)

The x-intercepts are (-1, 0) and (5, 0)

Lastly the vertex is (2, 9)

Function 3

y = a(x + 8)(x + 4)

Using the points in the graph, we have

a(-6 + 8)(-6 + 4) = -4

a = 1

So, the function is

y = (x + 8)(x + 4)

Set x = 0 for the y-intercept

y-intercept = (0 + 8)(0 + 4)

y-intercept = (0, 32)

The x-intercepts are (-8, 0) and (-4, 0)

Lastly the vertex is (-6, -4)

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9514 1404 393

Answer:

Step-by-step explanation:

The diagonals of a parallelogram cross at their midpoints. This means the segments of each diagonal are equal in length:

  RT = PT

  x = 5x -28

  28 = 4x . . . . . add 28-x

  7 = x . . . . . . . .divide by 4

__

  QT = ST

  5y = 2y +12

  3y = 12 . . . . .subtract 2y

  y = 4 . . . . . . divide by 3

The values of x and y that make the figure a parallelogram are x=7 and y=4.

Comment: RMS value is equal to the average value. This means that the signal does not have any high-frequency content. It can be inferred that the function y(t) does not oscillate. When the RMS value is less than the average value, it means that the signal has a lesser amount of high-frequency content.

Average and rms values for the function y(t)=25+10sin6πt over the time periods (a) 0 to 0.1 s, (b) 0.4 to 0.5 s, (c) 0 to 1/3 s, and (d) 0 to 20 s are as follows:

a) For t=0 to t=0.1s:

Average value, y_avg = 25

RMS value, y_RMS = 25.1987

Comment: RMS value is greater than the average value. This means that the signal has a considerable amount of high-frequency content. It can be inferred that the function y(t) oscillates rapidly.

b) For t=0.4 to t=0.5s:

Average value, y_avg = 25

RMS value, y_RMS = 28.2843

Comment: RMS value is greater than the average value. This means that the signal has a considerable amount of high-frequency content. It can be inferred that the function y(t) oscillates rapidly.

c) For t=0 to t=1/3 s:

Average value, y_avg = 25

RMS value, y_RMS = 23.7176

Comment: RMS value is less than the average value. This means that the signal has a lesser amount of high-frequency content. It can be inferred that the function y(t) oscillates slowly.

d) For t=0 to t=20 s:

Average value, y_avg = 25

RMS value, y_RMS = 25

Comment: RMS value is equal to the average value. This means that the signal does not have any high-frequency content. It can be inferred that the function y(t) does not oscillate. Comment on the nature and meaning of the results in terms of analysis of dynamic signals.The results indicate that the function y(t) oscillates rapidly at the start and end of the time period and slowly in the middle. When the RMS value is greater than the average value, it means that the signal has a considerable amount of high-frequency content.

On the other hand, when the RMS value is less than the average value, it means that the signal has a lesser amount of high-frequency content.

Furthermore, if the RMS value is equal to the average value, it means that the signal does not have any high-frequency content.

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Answer: 75

solve:

For gym A

total cost= membership fee+monthly fee

membership fee=25

monthly fee=25

cost of x month=25x

total cost=25+25x

for gym B

membership fee=10

total cost=55+10x

now total cost are same

25+25x=55+10x

15x=30

x=30/15

x=2.

2 months

and amount =25+25*2=75

Answer:

2 months, they will have paid 75 dollars

Step-by-step explanation:

Gym A

25+ 25m  where m is the number of months

Gym B

55 + 10m

Set them equal

25+25m = 55+10m

Subtract 10m from each side

25+25m-10m = 55+10m-10m

25+15m = 55

Subtract 25 from each side

25+15m-25 = 55-25

15m = 30

Divide by 15

15m/15 = 30/15

m=2

After 2 months

25+25(2) = 25+50 = 75

The cost is 75 dollars

The exact cost of producing the 21st food processor is $2,277. The approximate cost of producing the 21st food processor using the marginal cost is $1,930.

To find the exact cost of producing the 21st food processor, we substitute x = 21 into the cost function C(x) = 1900 + 20x - 0.3x^2:

C(21) = 1900 + 20(21) - 0.3(21)^2

= 1900 + 420 - 0.3(441)

= 1900 + 420 - 132.3

= 2,277.7

Therefore, the exact cost of producing the 21st food processor is $2,277.

To approximate the cost using the marginal cost, we need to find the derivative of the cost function C(x) with respect to x, which gives us the marginal cost function MC(x):

MC(x) = dC(x)/dx = 20 - 0.6x

The marginal cost represents the rate at which the cost is changing with respect to the number of food processors produced. At x = 21, the marginal cost is:

MC(21) = 20 - 0.6(21)

= 20 - 12.6

= 7.4

This means that for each additional food processor produced beyond the 20th, the cost is increasing by approximately $7.4.

To estimate the cost of producing the 21st food processor, we can add the marginal cost to the cost of producing the 20th food processor:

Estimated cost = Cost of 20th food processor + Marginal cost

= C(20) + MC(21)

= 1900 + 20(20) - 0.3(20)^2 + 7.4

= 1900 + 400 - 0.3(400) + 7.4

= 1,907.6

Therefore, using the marginal cost, the approximate cost of producing the 21st food processor is $1,930.

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The probability would be 4/8, 1/2, or 50%.

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

a) Any set of functions that has a total degree of 4 and a total number of x-intercepts of 4 will do. Shown in the first attachment are 4 linear functions. A quadratic function with two x-intercepts could replace two of the linear functions, or a cubic with 3 x-intercepts could replace 3 of the linear functions.

__

b) Again, the total degree must be 3. Since there can only be one x-intercept, the quadratic factor must have none. A possible choice is shown in the second attachment.

As per the given data, loan amount is $35,000 with 2% simple interest for the time period of 8 years then monthly payment is equal to

$422.92.

As given in the question,

Loan amount taken from the bank is equal to $35,000

Simple interest rate is 2%

Time period = 8 years

Total interest paid is equal to

= Loan amount × Interest rate × time period

= 35,000 × 2% × 8

= (35,000 × 2 × 8) / 100

= $5600

Total amount to be paid

= Loan amount + Interest amount

= $35,000 + $ 5,600

= $ 40,600

Monthly payment done based on given interest and time period

= $40,600 / ( 8 × 12 )

= $ 40,600 / 96

= $ 422.92

Therefore, for the given data, loan amount is $35,000 with 2% simple interest for the time period of 8 years then monthly payment is equal to $ 422.92.

The complete question is:

Attending the university of Houston main campus ,the bank agrees to give you a loan of $35,000 with 2% simple interest over 8 years. How much will your monthly payments be?

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Answer:

south america and north america

Step-by-step explanation:

Answer:

c.

Step-by-step explanation:

In table one , the rate of change is by adding 7 to each number

in table 2, the rate of change is by adding 6 to each number

in table 4, the rate of change is by adding 8 to each number

but in table 3, there is no precuse addition of numbers

Answer:

<

Step-by-step explanation:

25+(-14)-18 --->   25-32=-7
25+(-14)-(-18)  --->   43-14=29

Answer:

5198.4 grams of sand

Step-by-step explanation:

The bottom cube:

12*12*13= 144*13= 1872

The top pyramid:

144*6= 864

1872+864= 2736 cubic cm

THEN

2736*1.9= 5198.4 g of sand!

Brainliest plsss

Answer:

5.586 kg

Step-by-step explanation:

2940 ×1.9=  5586 kg or 5586 g

The complete two way relative frequency table shown below:

A statistical table called a two-way or contingency table displays the observed quantity or frequency for two variables, with the rows denoting one category and the columns denoting the other. In this case, the gender (male or female) row category. They can opt to have a yes or no column category.

Given:

Color     Car      Truck      Total

Blue       25          16            41

Red        21           13            34

Total       46         29            75

Now, the two way relative frequency table

Blue Car:   25 /75 x 100 = 33.33%

Blue Truck: 16/75 x 100 = 21.33%

Blue total = 41 /75 x 100 = 54.66%

Red car: 21/75 x 100 = 28%

Red Truck: 13/75 x 100 = 17.33%

Red total: 34/75 x 100 = 45.33%

Total car: 46/75 x 100 = 61.33%

Total truck: 29/75 x 100 = 38.66%

Total to total = 75/75 x 100 = 100%

so, the table is

Color     Car               Truck            Total

Blue       33.33%        21.33%       54.66%

Red        28%             17.33%        45.33%

Total       61.33%        38.66%          100%

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Answer:

0, 1, 2, 3

Step-by-step explanation:

-1 < x < 4 means that x has to be an integer (whole number aka no fractions)  between -1 and 4. Note that the < and > means that x cannot be -1 or 4 since it has to be greater than -1, or smaller than 4.

Answer: B.) 8 Puzzles and 840 pieces

The probabilities of at least 10 are repairable is 1/3. and probabilities of from 3 to 8 are repairable is 1/5*8/15 and probabilities of exactly 5 are repairable is 1/3.

According to the statement

we have given that If 15 actuators have failed and we have to find the probabilities on some conditions.

we know that the formula of probabilities is

probability = possible outcomes / total outcomes

So,

at least 10 are repairable = 1 - 10/15

at least 10 are repairable = (15 - 10)/15

at least 10 are repairable = (5)/15

at least 10 are repairable = 1/3

from 3 to 8 are repairable = 1/5 *8/15

exactly 5 are repairable = 1/3

These are the probabilities of the given conditions.

So, The probabilities of at least 10 are repairable is 1/3. and probabilities of from 3 to 8 are repairable is 1/5*8/15 and probabilities of exactly 5 are repairable is 1/3.

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Answer:

12

Step-by-step explanation:

72 / 2 =36

36 / 3 = 12

12, 24, 36, 48, 60, 72.

Let's consider two cases:

Case 1: Both m and n are even integers

If m and n are even, then we can write m = 2k and n = 2j for some integers k and j. Then,

m1n = (2k)1(2j) = 2kj

m2n = (2k)2(2j) = 4k2j

Both 2kj and 4k2j are even integers, so m1n and m2n are both even.

Case 2: Both m and n are odd integers

If m and n are odd, then we can write m = 2k + 1 and n = 2j + 1 for some integers k and j. Then,

m1n = (2k + 1)1(2j + 1) = 2kj + k + j + 1

m2n = (2k + 1)2(2j + 1) = 4k2j + 4kj + 2k + 2j + 1

Both 2kj + k + j + 1 and 4k2j + 4kj + 2k + 2j + 1 are odd integers, so m1n and m2n are both odd.

Therefore, we have shown that for all integers m and n, m1n and m2n are either both odd or both even.

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The probability of selecting two red beads from Eva's pocket, given that she has 3 red and 4 blue beads, is 3/7 * 2/6 = 1/7.

To find the probability of selecting two red beads, we need to determine the total number of possible outcomes and the number of favorable outcomes.

Eva has a total of 7 beads in her pocket (3 red and 4 blue). When she selects the first bead, there are 7 possible beads she could choose from. If she selects a red bead, there are now 6 beads left in her pocket, including 2 red beads. On the other hand, if she selects a blue bead, there are still 6 beads left, but only 1 red bead.

So, the probability of selecting a red bead as the first one is 3/7 because there are 3 red beads out of 7 total beads. After selecting the first red bead, the probability of selecting a second red bead is 2/6 because there are 2 red beads remaining out of 6 total beads.

To find the probability of both events occurring (selecting two red beads), we multiply the probabilities of each event together:

P(both red beads) = P(first red bead) * P(second red bead)

= 3/7 × 2/6

= 6/42

= 1/7

Therefore, the probability of selecting two red beads from Eva's pocket is 1/7.

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No, its not appropriate to reach a causal conclusion from data collected in a scientific study that showed a statistically significant effect.

No, reaching a causal conclusion solely based on statistical significance is not appropriate. Statistical significance indicates that an observed effect is unlikely to have occurred by chance, but it does not imply causation. There may be other factors or confounding variables that have not been considered or controlled for, which could be responsible for the observed effect.

Establishing causation requires additional evidence beyond statistical significance, such as a well-designed experimental study with proper control groups, randomization, and replication. Additionally, causal conclusions often involve a combination of statistical analysis, scientific theory, and a comprehensive understanding of the underlying mechanisms at play.

Therefore, while statistical significance is an important criterion in scientific studies, it should be considered as part of a broader analysis and interpretation of the results, taking into account other relevant factors before making any causal conclusions.

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Answer:

23.4

Step-by-step explanation:

The opening area for a 7 inch diameter channel is approximately 38.484 square inches.

The area of ​​a circular opening can be found using the circle area formula given by \(A = \pi r^2\). where A is the area and r is the radius of the circle. In this case, the duct diameter is 7 inches. The radius can be calculated by dividing the diameter by 2, so the radius is 7/2 = 3.5 inches.

Substituting the radius into the equation gives A = π(3,5)^2. Evaluating this formula gives A = \(\pi\)(12.25) ≈ 38.484 square inches. Rounding the result to the nearest thousandth, the area of ​​the channel opening is approximately 38.484 square inches.

Therefore, a 7 inch diameter duct has an orifice area of ​​approximately 38.484 square inches. 

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Answer:

x=-12

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

80=4x+4(−4x−16)

80=4x+(4)(−4x)+(4)(−16)(Distribute)

80=4x+−16x+−64

80=(4x+−16x)+(−64)(Combine Like Terms)

80=−12x+−64

80=−12x−64

Step 2: Flip the equation.

−12x−64=80

Step 3: Add 64 to both sides.

−12x−64+64=80+64

−12x=144

Step 4: Divide both sides by -12.

-12x/-12=144/-12

x=-12

Answer:

x = -12

Step-by-step explanation:

-4x - 16  =   -4 • (x + 4)

80 -  (4x +  -16 • (x + 4))  = 0

12x + 144  =   12 • (x + 12)

12 • (x + 12)  = 0

x+12 = 0