Assume the random variable X is normally distributed with
mean μ = 50 and standard deviation o=7. Find the 80th
percentile.

Answer:

x=-9

Step-by-step explanation:

\(13-x=21\\\\12-x+x=21+x\\\\12+0=21+x\\\\21+x=12\\\\21-21+x=12-21\\\\0+x=-9\\\\x=-9\)

Answer:

- 8

Step-by-step explanation:

13 - x = 21

-x = 8             Subtract 13 from both sides

x = -8             Divide both sides of -1 since x still has a negative.

Kimberly had 2 times as many marshmallows as Chris. After eating 15 each, Kimberly had 3 times as many marshmallows as Chris. Kimberly had 60 marshmallows at first.

Generally, Let's call the number of marshmallows that Kimberly had at first X.

We know that Kimberly had 2 times as many marshmallows as Chris at first, so Chris had X/2 marshmallows.

After eating 15 each, Kimberly had X - 15 marshmallows, and Chris had X/2 - 15 marshmallows.

We also know that Kimberly had 3 times as many marshmallows as Chris after eating 15 each, so

(X - 15) = 3 * (X/2 - 15).

(X - 15) - 3 * (X/2 - 15) = 0

Then, we can simplify the left side of the equation:

X - 15 - 3 * X/2 + 45 = 0

Combining like terms, we get:

-3 * X/2 + X - 15 + 45 = 0

Simplifying further:

-X/2 =-30

X = 60

Therefore, Kimberly had 60 marshmallows at first.

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Answer:

Step-by-step explanation:

r(x)= (x-3)(x+5)

= x²+5x-3x-15

=x²+2x-15

Answer:

\({\huge{\pink{\underline{\underline{QuEsTiOn}}}}}\)

rewrite r(x) in expanded form

\({\huge{\pink{\underline{\underline{SoLuTiOn}}}}}\)

\((x-3)(x+5)\\

=>x(x + 5) - 3(x + 5) \\

= > {x}^{2} + 5x - 3x + 15\\

=> {x}^{2} + 2x + 15 \)

Answer:

The greatest number of bracelets she can buy is 63.

Step-by-step explanation:

12 + 0.60x ≤ 50

1.) 12 + 0.60(63) ≤ 50

12 + 37.8 ≤ 50

49.8 ≤ 50

Since 49.8 ≤ 50 is always true, there are infinitely many solutions.

2.) 12 + 0.60(64) ≤ 50

12 + 38.4 ≤ 50

50.4 ≤ 50

Since 50.4 ≤ 50 is false, there is no solution.

Answer:

63

Step-by-step explanation:

did the test on edge

Answer:

\( \frac{15}{100} \times 1600\)

Answer:

Step-by-step explanation:

i) Vat % = 15%

Tax = 15% of 1600

       \(= \dfrac{15}{100}*1600\\\\= 15*16\)

       = $ 240

Total amount =  selling price + tax

                      = 1600 + 240

                       = $ 1840

ii) Original price  = $ x

The sale price was 20% less than the original price. $ 1600 is (100-20) = 80% of the original price.

80% of x = 1600

\(\dfrac{80}{100}*x = 1600\\\\\\x = 1600*\dfrac{100}{80}\\\\\\x = 20*100\)

Original price = $ 2000

Answer:

zeros are ±2

Step-by-step explanation:

y = x² - 4

this can be factored into (x+2)(x-2)

if you then set each factor equal to zero you will get zeros of ±2

3. The volume of the Pringle Chips container is approximately 2034.72 cubic inches.

4. The cake takes up approximately 7317 cubic inches of space.

5. The volume of foam in the model of the volcano is approximately 7234.08 cubic centimeters.

1. The units for Volume are always cubed.

2. Volume is the amount of space an object takes up. True.

3. To calculate the volume of the Pringle Chips container, we need to find the volume of a cylinder. The formula for the volume of a cylinder is V = πr^2h, where π is a constant (approximately 3.14), r is the radius, and h is the height. Given that the diameter is 9 inches, the radius would be half of that, which is 4.5 inches. Substituting the values into the formula, we have:

V = 3.14 * (4.5)^2 * 32

V = 3.14 * 20.25 * 32

V ≈ 2034.72 cubic inches

4. To find the volume of the 3-tier cake, we need to find the volume of each tier separately and then add them together. Since all the tiers are cylinders, we can use the formula V = πr^2h.

Tier 1:

V1 = 3.14 * (12)^2 * 10 = 4521.6 cubic inches

Tier 2:

V2 = 3.14 * (8)^2 * 10 = 2010.4 cubic inches

Tier 3:

V3 = 3.14 * (5)^2 * 10 = 785 cubic inches

Total volume:

Total V = V1 + V2 + V3

Total V = 4521.6 + 2010.4 + 785

Total V ≈ 7317 cubic inches

5. To find the volume of the Styrofoam model of the volcano, we can use the formula for the volume of a cone, V = (1/3)πr^2h. Given that the diameter is 48 centimeters, the radius would be half of that, which is 24 centimeters. Substituting the values into the formula, we have:

V = (1/3) * 3.14 * (24)^2 * 12

V = (1/3) * 3.14 * 576 * 12

V ≈ 7234.08 cubic centimeters

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Answer:

Linear Equations In One Variable =

[6(x-1)6] / 7 = 12

[(6x - 6)6] = 84

[36x - 36] = 84

36x = 84 + 36

36x = 120

x = 120/36

x = 10/3

equation solved (Answer : 10/3)

the area of the given fig will be (12 × 7) +(12 × 7)

What is square?

Having four equal sides, a square is a quadrilateral. There are numerous square-shaped objects in our immediate environment. Each square form may be recognized by its equal sides and 90° inner angles. A square is a closed form with four equal sides and interior angles that are both 90 degrees. Numerous different qualities can be found in a square.

a floor covered with white tiles and gray tiles.

the area of the given figure will be

(12 × 7)  and another (12 × 7)

So the total area will be (12 × 7) +(12 × 7)

Hence the area of the given fig will be (12 × 7) +(12 × 7)

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The baker can only make peanut butter cookies and cannot make any chocolate chip cookies with the given amount of ingredients.

Let's denote the number of batches of peanut butter cookies as "x" and the number of batches of chocolate chip cookies as "y."

From the given information, we can set up the following system of equations:

For the flour:

2x + 3y = 26

For the butter:

34x + y = 9

To solve this system of equations, we can use the substitution method or the elimination method. Let's use the elimination method:

Multiply the first equation by 17 (to make the coefficients of x in both equations the same):

34x + 51y = 442

Now we have the system of equations:

34x + y = 9

34x + 51y = 442

Subtract the first equation from the second equation:

34x + 51y - (34x + y) = 442 - 9

50y = 433

Divide both sides by 50:

y = 433/50

Since the number of batches of cookies cannot be fractional, we need to find a whole number solution for y. However, in this case, y is a fraction, indicating that the given amount of butter is not sufficient to make even one batch of chocolate chip cookies.

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Answer:

3:6:9

Step-by-step explanation:

1/1+2+3 × 90 = 15

2/1+2+3 × 90 = 30

3/1+2+3 × 90 = 45

Assuming that there is an triangle ABC and it is rotated to create a new image, A'B'C', we can check each of the presented rules.

1° - (x,y) - (x,y)

In this rule, every X will stil be the same X after the change. And so will the Y. This rule does not bring any change at all.

2° - (x,y) - (y,x)

In this rule , the coordinates X will become Y, and vice versa. It will mirror the image through an x=y line. This is not a rotation!!!

3° - (x,y) - (-x,y)

In this rule, the value of each X will become -X, and Y will keep unchanged. This rule just mirror the image through Y-axis.

4° - (x,y) - (y,-x)

In this rule, every point will have the X-values becoming the Y-axis value, in the oposite sigh. And for the Y-values, it will just become the X-axis. In this rule, what we got is a clockwise rotation.

Answer:

c

Step-by-step explanation:

180= 45+ (5x+35)

-45 -45

135 = 5x + 35

-35 -35

100 = 5x

/5 /5

x=20

The monthly income of the first person is $600.

Given that, the average monthly income of three persons is RS 3,600.

The income of the first is 1/5 of the combined income of the other two.

Here, Let income of the first be A, let income of the second be B and let Income of the third be C.

A+B+C=3600 -----(i)

Income for the first person = 1/5(B+C) -----(ii)

Substitute equation (ii) in equation (i), we get

(B+C)/5 +B+C =3600

B+C+5B+5C=3600×5

6B+6C=18000

6(B+C)=18000

B+C=3000 ------(iii)

Substitute (iii) in equation (i), we get

A=$600

Therefore, the monthly income of the first person is $600.

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Answer:

Undefined.

Step-by-step explanation:

Answer: 88 cm^3

Step-by-step explanation:

= 1/2 • bh

= 1/2 • 6 • 8

= 24

= 1/3 • 24 • 11

= 88 cm^3

The volume of the oblique triangle-based pyramid, having dimensions 6 cm, 8 cm, 11 cm, and 36.2 cm, is 88 cm³.

The capacity occupied by a three-dimensional solid shape is known as volume. It is difficult to visualize in any shape, yet it may be compared among shapes. For instance, a compass box has a larger volume than an eraser placed inside of it.

Given:

The dimension of the pyramid are 6 cm, 8 cm, 11 cm, and 36.2 cm,

Calculate the volume as shown below,

The Volume of the pyramid = 1 / 3 × Area of the triangle × height

The volume of the pyramid =  1 / 3 × 1 / 2 × 6 × 8 × 11

The volume of the pyramid = 528 / 6

The volume of the pyramid = 88

Thus, the volume of the pyramid is 88 cm³.

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Answer: A is your answer

Step-by-step explanation:

The transformation that occurs from f(x) to g(x) is that the graph of f(x) is shifted upward to create g(x).

Option A is the correct answer.

We have,

Parent function f(x) = |x|

Transformed function g(x) = |x| + 4

In the transformation from f(x) = |x| to g(x) = |x| + 4, a vertical shift occurs.

Adding a positive value (4 in this case) to the absolute value function f(x) results in the entire graph being shifted upward by 4 units.

A vertical shift on a graph refers to the transformation of a function in which the entire graph is moved up or down without changing its shape or orientation.

This vertical displacement occurs by adding or subtracting a constant value to the function's output (y-coordinate) for all input (x) values.

Thus,

a. The graph of f(x) is shifted upward to create g(x).

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Answer:

Mark brainliest please if i am correct one more brainliest please

Step-by-step explanation:

A=a+b

2h=15+25

2·5=100

Answer:

51.2

Step-by-step explanation:

plz mark me as brainliest

Answer:

It is linear

Step-by-step explanation:

every time x goes up by 4

y goes up by 16

Answer:70 miles per hour

Step-by-step explanation:350 divided by 50 is 70

Answer:

y = \(\sqrt{55}\)

Step-by-step explanation:

using the Altitude- on- Hypotenuse theorem

(altitude)² = product of parts of hypotenuse

then

y² = 11 × 5 = 55 ( take square root of both sides )

y = \(\sqrt{55}\)

Answer:for solving equations your trying to get the x by itself so multiplying 1/3 on both sides doesn't eliminate 1 so that you can have 3x by itself

Step-by-step explanation:hope that helps

The number of night of work each performers will have equal amount is 1 night

The buskers gets permit which cost $30. They can make an average of $45 per night (n),

Therefore,

y = 45n - 30

Without a permit they may only make an average of $15 per night.

Therefore,

y = 15n

The number of night the money made are both equal.

45n - 30 = 15n

45n - 15n  = 30

30n = 30

n = 30 / 30

n = 1

Therefore, the number of night of work each performers will have equal amount is 1 night

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Answer:

?

Step-by-step explanation:

Answer:

a reflection across the x axis

Step-by-step explanation:

triangle ABC is reflected across the x axis to create triangle DEF
we know this because the triangles are essentially mirrored about the x axis

Answer:

The groups are round shapes, triangles, quadrilaterals, pentagons, and hexagons.

Step-by-step explanation:

The groups are round shapes, triangles, quadrilaterals, pentagons, and hexagons.

It should be noted that AP'Q'R' a 180° rotation about the origin of APQR.

It should be noted that to perform a 180° rotation about the origin, one has to draw the original figure and label its coordinates and draw the origin and label it O.

One can also use the following formula to find the coordinates of the image of a point (x,y) after a 180° rotation about the origin:

(x', y') = (-x, -y)

Here, P'Q'R' represents the coordinates of the image of the point PQR. We simply take the negative of the original x and y coordinates to find the new coordinates after the rotation.

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