The price of an item has been reduced by 45%. The original price was $85.

The z-score for the raw score of 39 is 1.The z-score for the raw score of 30 is -0.8.Z-scores measure the number of standard deviations a raw score is from the mean. A positive z-score indicates a raw score above the mean, while a negative z-score indicates a raw score below the mean.

To find the z-scores, we need to use the formula:

z = (x - μ) / σ

where:

z is the z-score,x is the raw score,μ is the mean, andσ is the standard deviation.

Let's calculate the z-scores for the given mean of 34 and standard deviation of 5.For a raw score of 39:

z = (39 - 34) / 5

z = 5 / 5

z = 1

So, the z-score for the raw score of 39 is 1.For a raw score of 30:

z = (30 - 34) / 5

z = -4 / 5

z = -0.8

The z-score for the raw score of 30 is -0.8.

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Answer:

Surface Area = (2 • π • r²) + (2 • π • r • height)

Surface Area = 2 * 3.14 * 3*3 + 2 * 3.14 * 3 * 15

Surface Area = 56.52 +  282.60

Surface Area = 339.12

Formulas: http://www.1728.org/diamform.htm

Step-by-step explanation:

Step-by-step explanation:

the wrong ratios were compared.

the ratio of corresponding line segments is the same :

RS/RQ = ST/QU

5/6 = 10/x

5x = 60

x = 12

also the second question can be seen as 2 projections with the same angle at different distances of the projection screen.

the baseline has 2 segments : 11 and 29-11 = 18.

the ratio between both segments is the same as the ratio of both legs:

11/18 = 16.5/p

11p = 297

p = 297/11 = 27

and the 3rd question is exactly based on the same structure.

the ratio of the baseline segments is the same as the ratio of the legs, as both sides of the central line are equal projections of different distances at the same projection screen :

4/6 = 8/y

4y = 48

y = 12

If wheel on a scooter completes 124 revolutions and travels 22.4 meters then  diameter of the wheel is 57 mm

Each revolution of the wheel covers a distance equal to the circumference of the wheel.

The diameter of the wheel "d".

The distance covered in 124 revolutions is:

distance = 124 x circumference

= 124 x pi x d

= 124 x 3.14 x d

We know that this distance is equal to 22.4 meters, so we can set up an equation:

124 x 3.14 x d = 22.4

Simplifying and solving for d:

d = 22.4 / (124 x 3.14)

d = 0.057 meters

As we know that 1 meter is equal to thousand millimeters so multiply by 1000 to get in millimeters

d = 57 millimeters

Therefore, the diameter of the wheel is approximately 57 mm.

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Answer:

(x,y)=(0,4)

Step-by-step explanation:

write as systems as equations, multiply both sides of the equation by -1, sum the equations vertically to eliminate at least one variable, divide both sides of the equation by -19, substitute the given value of x into the equation 5x+y=4, The possible solution of the system is the ordered pairs (x,y) =(0,4), then you're done. whew. ;)

Therefore, the equation of the line passing through the point (1,5) with a slope of 7 is y = 7x - 2.

The equation of a line in the point-slope form is given by the following equation:

y-y_1 = m(x-x_1)

where m is the slope of the line and (x1, y1) is any point on the line.

Therefore, we can write the equation of the line passing through the point (1,5) with a slope of 7 as follows:

y-5 = 7(x-1)

Expanding the right-hand side of the equation gives:

y-5 = 7x-7

Adding 5 to both sides of the equation gives:

y = 7x-2

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The simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

To simplify the expression √([2m5z6]/[xy]), we can break it down step by step:

Simplify the numerator:

√(2m5z6) = √(2) * √(m) * √(5) * √(z) * √(6)

= √2m√5z√6

Simplify the denominator:

√(xy) = √(x) * √(y)

Combine the numerator and denominator:

√([2m5z6]/[xy]) = (√2m√5z√6) / (√x√y)

Thus, the simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

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ABC  Company has sales forecasts of the following .cash receipts for March are $45,820

What is calculation?.

The calculation involves applying the given collection percentages to the sales forecasts and then subtracting the uncollectible percentage from the total amount of sales. The calculation steps are as follows:

Calculate the amount of January sales that will be collected in March: $40,000 x 0.20 = $8,000

Calculate the amount of February sales that will be collected in March: $65,000 x 0.50 = $32,500

Calculate the amount of March sales that will be collected in March: $52,850 x 0.25 = $13,212.50

Add up the three amounts of collections: $8,000 + $32,500 + $13,212.50 = $53,712.50

Calculate the uncollectible amount: $157,850 x 0.05 = $7,892.50

Subtract the uncollectible amount from the total collections: $53,712.50 - $7,892.50 = $45,820

Therefore, the calculation shows that the cash receipts for March are $45,820.

To calculate the cash receipts for March, we need to first determine how much of the January, February, and March sales will be collected in March.

For January sales, 20% will be collected in March, which is $40,000 x 0.20 = $8,000.

For February sales, 50% will be collected in March, which is $65,000 x 0.50 = $32,500.

For March sales, 25% will be collected in March, which is $52,850 x 0.25 = $13,212.50.

To account for the 5% uncollectible, we need to subtract 5% of the total amount of sales from the total cash receipts. The total sales are $40,000 + $65,000 + $52,850 = $157,850. So, 5% of $157,850 is $7,892.50.

Therefore, the total cash receipts for March are:

$8,000 + $32,500 + $13,212.50 - $7,892.50 = $45,820

The cash receipts for March are $45,820

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Answer:

y-3=-4(x-1)

Step-by-step explanation:

the 2 points are 1,3. 1 being the X value and 3 being the Y value. If you put those in to the blanks, then you wil get the point slope form

point slope form: y-y(1)=m(x-x(1))

The 1s are the graph points

Answer:

34

Step-by-step explanation:

20% of 70 + 80% of 25 = 14 + 20 = 34.

Answer:

61

Step-by-step explanation:

Assuming a linear relationship between the percent chance for rain and the number of attendees, the number is 20% of the way from 70 (0% chance) to 25 (100% chance).

The expected number of people with a 20% chance of rain would be 61.

(hope it helps)

Answer:

£1,049

Step-by-step explanation:

The computation of the amount after 5 years is shown below:

Here we have to determined the future value

As we know that

Future value = Present value × (1 + rate of interest)^number of years

=  £950 × (1 + 0.02)^5

=  £950 × 1.02^5

=  £950 × 1.1040808032

= £1,049

Answer:

130° and 310°

Step-by-step explanation:

the bearing of A from B is the measure of the clockwise angle from a north line at B to A

the angle at B and A are same- side interior angles and sum to 180°

angle at B = 180° - 50° = 130°

the bearing of A from B is then 130°

the bearing of B from A is the measure of the clockwise angle from the north line at A to B

the complete angle about A = 360° then clockwise angle from north line at A to B is

360° - 50° = 310°

the bearing of B from A is 310°

Answer:

x = 10 or x = 2

Step-by-step explanation:

Solve for x:

x^2 - 12 x + 20 = 0

Hint: | Solve the quadratic equation by completing the square.

Subtract 20 from both sides:

x^2 - 12 x = -20

Hint: | Take one half of the coefficient of x and square it, then add it to both sides.

Add 36 to both sides:

x^2 - 12 x + 36 = 16

Hint: | Factor the left hand side.

Write the left hand side as a square:

(x - 6)^2 = 16

Hint: | Eliminate the exponent on the left hand side.

Take the square root of both sides:

x - 6 = 4 or x - 6 = -4

Hint: | Look at the first equation: Solve for x.

Add 6 to both sides:

x = 10 or x - 6 = -4

Hint: | Look at the second equation: Solve for x.

Add 6 to both sides:

Answer: x = 10 or x = 2

Answer: The distance of the ship from the lighthouse is 546.4 feet.

Step-by-step explanation:

What is the angle of elevation?

The angle of elevation is an angle that is formed between the horizontal line and the line of sight. If the line of sight is upward from the horizontal line, then the angle formed is an angle of elevation.

The beacon light is 126 feet high, the angle of elevation to the beacon is 13° and the distance from the lighthouse to the ship = x

These from a right-angled triangle,

from trigonometry

tan 13 = 126/x

making x the subject of the equation we have

x tan 13 = 126

x = 126/tan 13

but tan 13 = 0.2308

x = 126/0.2308

x = 546.4 feet

In conclusion, the ship's distance from the lighthouse is 546.4 feet.

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The distance around the given figure above which is its perimeter would be = 17.6cm.

The distance around the given figure can be calculated using the formula for perimeter= addition of all the sides of the shape which is made up of three different figures.

That is =

Figure 1 = a+a+d+d

= 0.3+0.3+1.8+1.8

= 4.2cm.

figure 2 = 3a + 3a + 2e

=6(0.3) + 1.0(2)

= 1.8+2 =2.8cm

figure 3 = 2c + 2f

= 2(1.7) + 2(3.6)

= 3.4 + 7.2 = 10.6cm.

Therefore the perimeter of the figure = 4.2+2.8+10.6 = 17.6cm.

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Answer:

The 6 oz bottle

Step-by-step explanation:

When you simplify it to see how much per ounce each costs, the 6-oz has the better price.

2.29/6 = 0.381666....

10.19/15 = 0.6793....

the second bottle cost more per ounce, so the 6 oz bottle has the better deal

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Answer:

59/1

Step-by-step explanation:

-3-2g+6+4g

3+2g

hope it helps

Answer:

-2g + 18

Step-by-step explanation:

-3(2g - 6) + 4g

First we use distributive property.

-3 × 2g = -6g

-3 × -6 = 18

now we have

-6g + 18 + 4g

Now we combine the like terms

-6g + 4g = -2g

Finally we have

-2g + 18

and they are not like terms so we leave them and the equation is solved.

The statement that is true about the function is:

A function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given:

The minimum value of the curve = (1.9, -5.7),

The maximum value = (0, 2)

The point the function crosses the x-axis (the x-intercept) = (-0.7, 0), (0.76, 0), and (2.5, 0)

The point the function crosses the y-axis (the y-intercept) = (0, 2)

The given points can be plotted using MS Excel, from which we have:

F(x) is less than 0 over the interval from x = -∞, to x = -0.7, and the interval from x = 0.76 to x = 2.5.

Hence, the correct option is A.

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Answer:

B. 2\(\pi\)r  

Step-by-step explanation:

Answer:

\(\frac{1}{2} x+5\)

Step-by-step explanation:

h(x)=2x-10

    y =2(x-5)

   interchanging the value of x and y,

x=2(y-5)

\(\frac{x}{2} =y-5\)

\(\frac{1}{2} x+5\)=y

so,h(x)=\(\frac{1}{2}x+5\)

Answer:

Step-by-step explanation:

Given function

Its inverse is

Correct option is D.

Answer:

2.88 markup per rose

Step-by-step explanation:

12.24/12 = 1.02 per rose

46.8/12 = 3.9 per rose

3.9 - 1.02 = 2.88 markup per rose

Answer:

distribution

Step-by-step explanation:

(4xb)+(4x2)

4b+8

Answer

The property that was used to simplify this equation was the distributive property.

Step-by-step explanation:

All you do is distribute the 4 both to the b and to the 2, which would result in the other side of the equation, 4b+8.

\(A = 9(12) - 4^{2} = 108 - 16 = \bf 92 \ in^{2}\)

Answer:

$3606.44

Step-by-step explanation:

The question asks us to calculate the principal amount that needs to be invested in order to earn an interest of $6180 in 28 years at an annual interest rate of 6.12%.

To do this, we need to use the formula for simple interest:

\(\boxed{I = \frac{P \times R \times T}{100}}\),

where:

I = interest earned

P = principal invested

R = annual interest rate

T = time

By substituting the known values into the formula above and then solving for P, we can calculate the amount that James needs to invest:

\(6180 = \frac{P \times 6.12 \times 28}{100}\)

⇒ \(6180 \times 100 = P \times 171.36\)     [Multiplying both sides by 100]

⇒ \(P = \frac{6180 \times 100}{171.36}\)    [Dividing both sides of the equation by 171.36]

⇒ \(P = \bf 3606.44\)

Therefore, James needs to invest $3606.44.

Answer: 8.06 Inches

The area of the circle is 28.26 ft². 3. The diameter of the circle is 8.06 inches.

The median score on the quiz is 10. The answer is (d)10.

We must arrange the scores from lowest to highest in order to determine the median score. The cumulative frequency for each score can also be calculated.

Score Frequency Cumulative Frequency

5                     1                                     1

6                     2                                    3

7                     5                                    8

8                     5                                    13

9                     7                                    20

10                   10                                   30

The score that distinguishes the upper half of the scores from the lower half is the median, or middle score. Since there are 30 scores, the center score is the fifteenth score.

We can begin by adding the frequencies until we reach or exceed the 15th position in order to accomplish this:

Scores 5 and 6 have a cumulative frequency of 3 (1 + 2)

Scores 7 and 8 have a cumulative frequency of 13 (8 + 5)

Therefore, the median score must be in the 9-10 range. We can further break down this range to find the exact median value:

The cumulative frequency of score 9 is 20, indicating that it is not the median value.

Score 10 has a combined recurrence of 30, which is more noteworthy than the fifteenth position.

As a result, this dataset's median score is 10.

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The median of the statistics quiz will be 9.

What is median ?

The value of the middle observation found after the data are arranged in ascending order is referred to as the median of the data. In many cases, it is challenging to take all of the facts into account when representing something, and in these cases, median is helpful. The median is one of the simple to compute statistical summary metrics. The median is also known as the place average since it uses the data that is in the centre of a sequence to determine its value.

To find the median score on the quiz, we need to arrange the scores in order from lowest to highest. Using the frequency table, we can write out all the scores:

5, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10

There are 30 scores in total, so the median will be the average of the 15th and 16th scores (in order).

So, the median score on the quiz is:

(9 + 9) / 2 = 9

Hence the median of the statistics quiz will be 9.

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