In a normal distribution, what percentage of the data falls within 2 standard
deviations of the mean?
A. 99.7%
B. 68%
C. 34%
D. 95%

Answer: 76 cubic feet

Step-by-step explanation:

Think about breaking it into two rectangular prisms:

Total volume = Volume of longer prism + volume of shorter prism

Total volume = 8x4x2 + 2x2x3

Total volume = 76 cubic feet

The requreid Mona's phone call was 13 minutes long.

Let's let the variable "m" represent the length of the phone call in minutes.

We know that Mona pays $1.00 for the first call of the day plus $0.15 per minute of the call. So the total cost of the call can be represented by the expression:

$1.00 + $0.15m

We also know that Mona paid $2.95 for her first call today. So we can set the expression for the total cost of the call equal to $2.95:

$1.00 + $0.15m = $2.95

To solve for the length of the call in minutes, we can first subtract $1.00 from both sides of the equation:

$0.15m = $1.95

Then we can divide both sides by $0.15:

m = 13

Therefore, Mona's phone call was 13 minutes long.

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The calculated area of this triangle is 43.50 sq units

From the question, we have the following parameters that can be used in our computation:

The triangle

The area of the triangle is calculated as

Area = 1/2 * Product of adjacent legs * sin of middle angle

Substitute the known values in the above equation, so, we have the following representation

Area = 1/2 * 12 * 8 * sin(65)

Evaluate

Area = 43.50

Hence, the area is 43.50 sq units

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Answer:

v=-5

Step-by-step explanation:

Answer:

[tex]23 = 10v - 7 \\ 23 + 7 = 10v \\ 30 = 10v \\ v = 3 \\ \\ [/tex]

The simplified value of 8y + 4 - 3y + 12 is 5y+16

An expression or algebraic expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. For example , 4x+5 , 2x²+2, 10y³+5y²+6

To simplify an expression means to write the expression Ina simpler form. for example 6y²+2y can be written as 2y( 3y+1)

Simplifying 8y + 4 - 3y + 12,

collecting like terms

8y-3y+4+12

= 5y+16

therefore the simplification of 8y + 4 - 3y + 12 is 5y+16

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Answer:

188.5 ft

Step-by-step explanation:

One Circle = perimeter

= 2 nr

= 2 x 3.14 x 30

= 188.5 ft

Answer:

not sure sorry -(1,0)and (2,0)

The price of the motorcycle not including tax will be $12,000.

Given that:

Lenny bought a motorcycle. He paid 10.5% in tax.

The percentage is given as,

Percentage (P) = [Tax] / Initial value x 100

The price of the motorcycle not including tax is calculated as,

10.5 = (1260 / Initial value) x 100

0.105 = 1260 / Initial value

Initial value = 12,000

The price of the motorcycle is $12,000.

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Where the above factors are given, a sale price of approximately $84 for the immersion blenders will allow Kitchen Masters to achieve a profit of $89,300.

The profit equation for the sale of pressure cookers for the company Kitchen Masters is:

P = −120p² + 19,800p − 727,450

To find the sale price for the immersion blenders, p, that will allow Kitchen Masters to achieve a profit, P, of $89,300,


Let the profit equation =  89,300.

Now, we solve for p:

89,300 = −120p² + 19,800p − 727,450

Adding 727,450 to both sides:

816,750 = -120p² + 19,800p

Dividing both sides by -120:

-6,805 = p² - 165p

Rearrange the equation to make it Quadratic

p² - 165p + 6,805 = 0

Now we can solve for p using the quadratic formula:

p = (-b ± √(b² - 4ac)) / 2a

where a = 1, b = -165, and c = 6,805.

p = (-(-165) ± √((-165)² - 4(1)(6,805))) / 2(1)

p = (165 ± √((27,225 - 27220)) / 2

p ≈ 83.618 or p ≈ 81.382

Therefore, a sale price of approximately $84 for the immersion blenders will allow Kitchen Masters to achieve a profit of $89,300.

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Answer:

4 minutes and 44 seconds.

Answer: $9,000 is invested in the 5% bond, and $24,000 is invested in the 6.5% bond.

Step-by-step explanation: x + y = 33,000 (the full sum contributed)

We too know that the yearly intrigued earned is $2,010.00, which is the whole of the intrigued earned from each bond. Utilizing the equation for basic intrigued:

intrigued = principal x rate x time

ready to calculate the intrigued earned from each bond:

0.05x (for the 5% bond)

0.065y (for the 6.5% bond)

So we have another condition:

0.05x + 0.065y = 2,010

Presently we have two conditions with two factors, which we are able illuminate utilizing substitution or end.

Let's utilize substitution:

x + y = 33,000 --> y = 33,000 - x

0.05x + 0.065y = 2,010 --> 0.05x + 0.065(33,000 - x) = 2,010

Streamlining:

0.05x + 2,145 - 0.065x = 2,010

-0.015x = -135

x = 9,000

So the sum contributed within the 5% bond is $9,000, and the sum contributed within the 6.5% bond is:

y = 33,000 - x = 33,000 - 9,000 = $24,000

Answer:

Step-by-step explanation:

20.9 is solution

The coordinates of the new point  is (-6, -2)

From the question, we have the following parameters that can be used in our computation:

Point = (6, 2)

Rule: 180 degrees rotation

The rule of 180 degrees rotation is

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

substitute the known values in the above equation, so, we have the following representation

image = (-6, -2)

Hence, the image = (-6, -2)

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It is cheaper to buy 18-kilogram bag of soil. The cost of the 18-kilogram is $10 and the cost of the cost of the other option is $12.

Cost of buying 18,000 grams of soil using the 4500 gram bag = (18,000 / 4,500) x $3 = $12

The second step is to convert 18 kilogram to grams.

1 kg = 1000 grams

18 x 1000 = 18,000 grams

18,000 grams cost $10.

Thus, it is cheaper to buy 18-kilogram bag of soil.

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Answer:

Let's denote the two legs of the right triangle as a and b, and the hypotenuse as c. We know that c = √41, so we can use the Pythagorean theorem to relate a and b to c:

c^2 = a^2 + b^2

Substituting c = √41, we get:

(√41)^2 = a^2 + b^2

41 = a^2 + b^2

We also know that the perimeter of the triangle is:

perimeter = a + b + c = 9 + √41

Substituting c = √41, we get:

a + b + √41 = 9 + √41

a + b = 9

Now we have two equations with two unknowns (a and b):

a^2 + b^2 = 41

a + b = 9

We can solve this system of equations by substitution. Solving the second equation for a, we get:

a = 9 - b

Substituting this into the first equation, we get:

(9 - b)^2 + b^2 = 41

81 - 18b + 2b^2 = 41

2b^2 - 18b + 40 = 0

b^2 - 9b + 20 = 0

(b - 4)(b - 5) = 0

So we have two possible solutions: b = 4 and b = 5. We can find the corresponding value of a using a = 9 - b:

a = 5 and b = 4 or a = 4 and b = 5

Therefore, the two legs of the right triangle are 4 and 5.

The exact value of x  in the right triangle is 3√10

From the question, we have the following parameters that can be used in our computation:

Similar triangles

Using the theorem of corresponding sides in similar triangles, we have

x/15 = 6/x

When both sides of the equation are cross multplied, we have

x^2 = 90

Take the square root of both sides

So, we have

x = 3√10

Hence, the exact value of x is 3√10

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length, l=16in

width, b=13in

thickness, t=3in

To Find:-

Area of wrapping paper required.

Explanation:-

Since, wrapping paper is to be wrapped over the whole rectangular box.Therefore, we have to calculate the total surface area of the rectangular box.



Therefore, 590 of paper is required to wrap the whole rectangular box.

Based on the information regarding the data, B. Mike burns more calories per minute than Anna

The calorie consumption of Mike was between 12.5 and 16.67, averaging out at nearly 13.75 per minute.

In contrast, Anna burned around 13.33 each minute.

So the answer is B - Mike burns more calories per minute than Anna.

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The ratio to show the relationship is 13 : 12

From the question, we have the following parameters that can be used in our computation:

For every 13 white tiles used, she wants to use 12 gray tiles.

This means that

Ratio = White : Gray

Substitute the known values in the above equation, so, we have the following representation

Ratio = 13 : 12

Hence, the ratio of white tiles and the number of gray tiles is 13 : 12

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Complete question

Demetria is tiling a square area of her bathroom floor. For every 13 white tiles used, 'she wants to use 12 gray tiles.

Write a ratio to show the relationship between the number of white tiles and the number of gray tiles.

The probability that both events occur is 0.06.

The probability that both events occur is calculated as follows;

P(A and B) = P(A) x P(B)

The probability of event A is;

P(A) = number of outcomes / total number of outcomes

P(A) = 2/6

P(A) = 1/3

The probability of event B is;

P(B) = number of outcomes / total number of outcomes

P(B) = 1/6

The probability of both events is;

P(A and B) = P(A) x P(B)

P(A and B) = (1/3) x (1/6)

P(A and B) = 1/18 = 0.06

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Katrina will need 24 bricks to build the wall around her backyard.

We have,

To determine the number of bricks needed for the wall, we need to divide the total length of the wall (432 inches) by the length of each brick (18 inches):

So,

Number of bricks = Total length of the wall / Length of each brick

Number of bricks = 432 inches / 18 inches

Number of bricks = 24 bricks

Therefore,

Katrina will need 24 bricks to build the wall around her backyard.

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The complete question:

Katrina is building a wall around her backyard using bricks that are 18 inches long. The wall needs to be 36 feet, or 432 inches, long.

Find the number of bricks needed to build around he backyard.

Answer: Everyone in your population must have an equal, non-zero chance of being selected. (In other words, everyone has an equal chance of receiving a survey.) You must know, specifically, what that chance of being selected is for each person.

The inequality is -8 < √74  < 9. A mathematical expression that's values on the left and right are not equal is referred to as having an inequality.

A mathematical expression that's values on the left and right are not equal is referred to as having an inequality. In essence, an inequality analyses any two values that demonstrates whether one is bigger than, less than, or neither greater nor equal to the other quantity. Numbers are compared using inequalities to determine a range of quantities that are contained inside the parameters of a variable.

Let A = √74

A² = 74

8² < A² < 9²

Hence, the inequality is -

8 < √74  < 9

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Since the waiting times are uniformly distributed between 0 and 7 minutes, the probability density function (PDF) of the waiting time is:

f(x) = 1/7 for 0 ≤ x ≤ 7

0 otherwise

To find the probability that the waiting time is less than 0.75 minutes, we need to integrate the PDF from 0 to 0.75:

P(X < 0.75) = ∫[0,0.75] f(x) dx

P(X < 0.75) = ∫[0,0.75] 1/7 dx

P(X < 0.75) = [1/7 * x] [0,0.75]

P(X < 0.75) = 1/7 * 0.75

P(X < 0.75) = 0.1071

Therefore, the probability that the waiting time is less than 0.75 minutes is 0.1071 (rounded to three decimal places).

Answer: The box goes from Q1 to Q3, with the middle spoken to by a line interior the box at Q2. The bristles expand from the box to the least and most extreme values. There's one exception, spoken to by an bullet (*), at the esteem of 90.

Step-by-step explanation: box and whisker plot:

|

90 ---| *

84 ---|

83 ---|

80 ---|_____

79 ---| |_____

| | |

76 ---| | |

| | |

72 ---|_____| |

71 ---| |

70 ---|___________|

66 75

log(75) = log( 3 • 5 • 5 )

           = log(3) + log(5) + log (5)

           = s + t + t

           = s + 2t

To go from log( 3 • 5 • 5 ) to log(3) + log(5) + log (5), we use the log rule that says log( a • b ) = log(a) + log(b).