Answer the question based on the data in the two-way table.
Grades
Gender
Below Above
Average Average
Boy 14 23
Total
37
Girl
16
22
38
Total
30
45
75
Which statement is true?
O A. Aboy above average grades) = P(boy)
B.
Pabove average grades boy) = Pabove average grades)
Ос.
Pboy above average grades) # Pabove average grades)
OD. Pabove average grades| boy) = P(boy)

Answer:

what's the question?

Answer:

The probability that the sample mean of men heights is more than 5 inches greater than the sample mean of women heights is 0.0885.

Step-by-step explanation:

We are given that the population of men at UMBC has a mean height of 69 inches with a standard deviation of 4 inches. The women at UMBC have a mean height of 65 inches with a standard deviation of 3 inches.

A sample of 50 men and 40 women is selected.

The z-score probability distribution for the two-sample normal distribution is given by;

                          Z  =  \(\frac{(\bar X_M-\bar X_W)-(\mu_M-\mu_W)}{\sqrt{\frac{\sigma_M^{2} }{n_M}+\frac{\sigma_W^{2} }{n_W} } }\)  ~ N(0,1)

where, \(\mu_M\) = population mean height of men at UMBC = 69 inches

           \(\mu_W\) = population mean height of women at UMBC = 65 inches

           \(\sigma_M\) = standard deviation of men at UMBC = 4 inches

           \(\sigma_M\) = standard deviation of women at UMBC = 3 inches

           \(n_M\) = sample of men = 50

           \(n_W\) = sample of women = 40

Now, the probability that the sample mean of men heights is more than 5 inches greater than the sample mean of women heights is given by = P(\(\bar X_M-\bar X_W\) > 5 inches)

 P(\(\bar X_M-\bar X_W\) > 5 inches) = P( \(\frac{(\bar X_M-\bar X_W)-(\mu_M-\mu_W)}{\sqrt{\frac{\sigma_M^{2} }{n_M}+\frac{\sigma_W^{2} }{n_W} } }\) > \(\frac{(5)-(69-65)}{\sqrt{\frac{4^{2} }{50}+\frac{3^{2} }{40} } }\) ) = P(Z > 1.35)

                                         = 1 - P(Z \(\leq\) 1.35) = 1 - 0.9115 = 0.0885

The above probability is calculated by looking at the value of x = 1.35 in the z table which has an area of 0.9115.      

The exponential function will be equal to y = 20ˣ.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Carter shared his post with 10 friends, who each share with only 2 people each day.

The exponential function will be written as,

y = abˣ

y = 10(2)ˣ

y = 20ˣ

Therefore, the exponential function will be equal to y = 20ˣ.

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Answer:

f(x) = 10(2)^x

Step-by-step explanation:

Rule for solving: The first number is the first part of the equation, and the second number is in parenthesis.

After simplifying the given equation we get x as 150.

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

here, it is given that :

4(x+15)=640 and we have to solve for x.

first, open bracket to multiply 4 :

4(x+15)=640

4x + 4.15 = 640

4x + 60 = 640

Now, subtract 60 both side :

4x + 60 - 60 = 640 - 60

4x = 600

Now, divide "4" both side to get value of x :

x = 600/4

x = 150

Therefore, after simplifying the given equation we get x as 150.

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Answer: 4 to 10 then it’s 6 to 20 then it’s 8 to 25   Then it’s 10 to 30 then it’s 12 to 35  I hope this is the answer

Step-by-step explanation:

Step-by-step explanation:

Ava is walking at a constant rate of 5 feet each 2s so :

We should keep adding 2s in the time and 5 feet in the distance

Let's complete the chart:

Answer:

Number of dimes = d

number of quarters = q

0.1d + 0.25q = 12.80

d + q =74

q = 74 - d

0.1d + 0.25 (74 - d) = 12.80

d = 38

q = 74 - 38 = 36

Step-by-step explanation:

I have a you tube channel "Sciency Sergei". You may want to stop by and see if there is anything useful for you. You may also suggest a topic to discuss or a problem to solve.

Q1: (D) -37.5

Q2: (B) 18.5

Answer: In decimal form, 14.85

Answer in fraction form: 297/20

Step-by-step explanation:

Answer:

r=ln3/10

Step-by-step explanation:

The daily rate is given by 3 to the power x divided by 10.

We have given that a sample of bacteria is growing at a continuously compounding rate.

The sample triples in 10 days.

The daily rate of the bacteria growth is. exponential growth is in the form

y = abˣ

where y, x are variables.

a is the initial value

Sample triples, in 10 days. therefore the value of b=3.

Therefore we get,

\(y=3a^{\frac{x}{10}\)

\(y=a3^{\frac{x}{10}\)

Therefore the daily rate is given by \(3^{\frac{x}{10}\).

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Answer:

3.999 millimeters.

Step-by-step explanation:

To find the height of the cylinder, we can use the formula for the volume of a cylinder:

V = πr²h

Given that the radius (r) of the cylinder is 4 millimeters and the volume (V) is 200.96 cubic millimeters, we can substitute these values into the formula and solve for the height (h).

200.96 = π(4²)h

200.96 = 16πh

To solve for h, we can divide both sides of the equation by 16π:

200.96 / (16π) = h

Using a calculator, we can calculate the approximate value of h:

h ≈ 200.96 / (16 × 3.14159)

h ≈ 3.999

Therefore, the height of the cylinder is approximately 3.999 millimeters.

Answer:

2

Step-by-step explanation:

12/8 is equal to 6/4.

6 divided by 3 is 2.

Answer:

A. 35 ft.

B. 35 ft

Step-by-step explanation:

Please see attached photo for diagram.

A. Determination of the diagonal using pythagorean theorem.

A square has all sides equal. Thus, the diagonal of the square can be obtained as follow:

Ist leg (L₁) = 25 ft

2nd leg (L₂) = 25 ft

Diagonal (d) =?

d² = L₁² + L₂²

d² = 25² + 25²

d² = 625 + 625

d² = 1250

Take the square root of both side

d = √1250

d = 35 ft

B. Determination of the diagonal using trigonometry.

Since all the sides in a square are equal, the angle between each leg will be 90°. Thus, the diagonal will bisect the angle between the two leg equally i.e

Angle between Diagonal and each leg = 90/2 = 45°

Finally, we shall determine the length of the diagonal. This can be obtained as follow:

Angle θ = 45°

Opposite = 25 ft

Hypothenus = d

Sine θ = Opposite / Hypothenus

Sine 45 = 25 / d

0.7071 = 25 / d

Cross multiply

0.7071 × d = 25

Divide both side by 0.7071

d = 25 / 0.7071

d = 35 ft

Answer:

Greatest common factor (GCF) of 18 and 34 is 2.

Step-by-step explanation:

The common factors among the factors of 18 and 34 are 1 and 2 thus the greatest common factor will be 2 only.

The Highest Common Factor (HCF) of two numbers is the highest possible number that is divisible by both numbers.

In other words, the highest common factor is the common factor between the two numbers but it should be the highest among all common factors.

Factors of 18 = 1,2,3,6,9 and 18

Factors of 34 = 1,2,17, and 34

Common factors = 1 , 2

Highest = 2

Hence "The common factors among the factors of 18 and 34 are 1 and 2 thus the greatest common factor will be 2 only".

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Answer:

72yd^2

Step-by-step explanation:

Answer:

87

Step-by-step explanation:

14*3 + 9*5

Answer:

2 hours

Step-by-step explanation:

oof do u really want it

Answer:

More than half of the players are under age

40.

Step-by-step explanation:

Evaluating the expression : More than half of the players are under age 40.

Below 40s :

Number of players in 20s = 19

Number of players in 30s = 24

(19 + 24) = 43 players

40s and above :

40s = 8 players

50s = 10 players

60s = 5 players

70s = 2 players

(8 + 10 + 5 + 2) = 25 players

Hence, total number of players below 30s is more Than half of the total players

Answer: a cylinder with a height that is double the height of the original mold, and a radius that is the same as the radius of the original mold

Step-by-step explanation:

Answer:

Answer: a cylinder with a height that is double the height of the original mold, and a radius that is the same as the radius of the original mold.

Step-by-step explanation:

Answer:

2

LOL - I need the kiss tho!

Hope this helps!

Answer:

Summarizing User Request.

User

hissan

ChatGPT

Hello! How can I assist you today?

User

Hissan

ChatGPT

Hello, Hissan! How can I help you?

User

Hi

ChatGPT

Hello! How can I assist you today?

User

I love oyu

ChatGPT

Thank you for your kind words, but I'm just an AI language model created by OpenAI. I'm here to provide information and assist with any questions you may have. How can I help you today?

2 / 2

User

Let p and q represent the following simple statements.

p: You are human.

q: You have horns.

Write the following compound statement in symbolic form.

You have horns if you are not human.

The compound statement written in symbolic form is ___

ChatGPT

The compound statement "You have horns if you are not human" can be written in symbolic form as:

¬p → q

Here, ¬p represents "not human" and q represents "you have horns." The arrow (→) denotes the implication, which means "if... then."

User

The length of a pool is 2 times its width plus 5, and the pool is surrounded by a deck which is 2 meters wide. If the total combined area is 741 square meters, find the dimensions of the pool.

Width: square meters

Length: square meter

ChatGPT

Let's denote the width of the pool as 'w' (in meters).

According to the given information, the length of the pool is 2 times its width plus 5. Therefore, the length can be represented as (2w + 5) meters.

The pool is surrounded by a deck that is 2 meters wide on all sides. This means that both the width and length of the deck should be added to the dimensions of the pool to get the total combined area.

The total combined area is given as 741 square meters.

To calculate the dimensions of the pool, we need to subtract the area of the deck from the total combined area.

The area of the deck can be calculated as follows:

Area of the deck = 2 × (w + 2) + 2 × (2w + 5)

Now, we can calculate the area of the pool:

Area of the pool = Total combined area - Area of the deck

Area of the pool = 741 - (2 × (w + 2) + 2 × (2w + 5))

Simplifying the expression:

Area of the pool = 741 - (2w + 4 + 4w + 10)

Area of the pool = 741 - (6w + 14)

Area of the pool = 741 - 6w - 14

Area of the pool = 727 - 6w

Since we have the formula for the area of the pool, we can set it equal to the length multiplied by the width:

Area of the pool = Length × Width

727 - 6w = (2w + 5) × w

Now, let's solve this equation to find the value of 'w'.

727 - 6w = 2w² + 5w

2w² + 5w + 6w - 727 = 0

2w² + 11w - 727 = 0

We can solve this quadratic equation to find the value(s) of 'w'. By factoring or using the quadratic formula, we can determine the width of the pool.

Answer: width: 15 meters

               length: 35 meter.

Step-by-step explanation:

Let the length of a pool is x and the  width  of a pool is y.

Hence x=2y+5.

The length of a pool  with a deck is x₁=2y+5+2+2 = 2y+9

The  width of a pool  with a deck is y₁=y+2+2=y+4

The total combined area is S₁=x₁*y₁=741 square meters.

So (2y+9)*(y+4)=741

 2y²+8y+9y+36=741

 2y² +17y-705=0

2y²-30y+47y-405=0

2y*(y-15)+47y*(x-15)=0

(y-15)*(2y+47)=0      

y-15=0

y₁=15.

2y+47=0

2y=-47

Divide both parts of the equation by 2:

y=-23.5 ∉

Hence

x=2*15+5

x=30+5

x=35 meters

y=15 meters.

The missing statement is the quadratic formula and the correct option therefore is the third option;

The quadratic formula is used to find the solution of a quadratic equation. The quadratic formula is; \(x = \frac{-b\pm\sqrt{b^2-4\cdot a\cdot c} }{2\cdot a}\)

The statements and reasons can be presented algebraically as follows;

Statements \({}\)                                          Reasons

\(x^2+\frac{b}{a}\cdot x+(\frac{b}{2\cdot a} )^2 = -\frac{4\cdot a\cdot c}{4\cdot a^2}+ \frac{b^2}{4\cdot a^2}\)        Find a common denominator on the

                                                            right side of the equation

\(x^2 + \frac{b}{a} \cdot x+(\frac{b}{2\cdot a} )^2 = \frac{b^2-4\cdot a \cdot c}{4\cdot a^2}\)                 Add the fractions together on the

                                                     \({}\)        right side of the equation

\((x +\frac{b}{2\cdot a} )^2 = \frac{b^2 - 4\cdot a \cdot c}{4\cdot a^2}\)                             Rewrite the perfect squared equation

                                                      \({}\)      to the left side of the equation as a

                                                        \({}\)    binomial squared

\(x + \frac{b}{2\cdot a} = \pm\sqrt{\frac{b^2 - 4\cdot a \cdot c}{4\cdot a^2} }\)                   Take the square root of both sides of  the

                                                    \({}\) equation

\(\underline{x = \frac{-b\pm\sqrt{b^2 - 4\cdot a \cdot c} }{2\cdot a}}\)                                 Simplify the right side of the equation    

The correct option is therefore;

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Answer:

A

Step-by-step explanation:

i took the test

have a great day :) .!

Answer:

x = 10

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

10 = 28

Step-by-step explanation:

6 x 1= 6 = 4x1+24=28

Answer:

m<A = 107

m<B = 73

m<C = 107

m<D = 73

Step-by-step explanation:

2(4x + 1) + 2(5x + 17) = 360

8x + 2 + 10x + 34 = 360

18x + 36 = 360

18x = 324

x = 18

4x + 1

4(18) + 1

73

5x + 17

5(18) + 17

107

Answer:

The searchlight should be 6.25ft deep

Step-by-step explanation:

Given

\(Across = 20ft\)

\(Base = 4ft\)

Required

The depth of the searchlight

\(Across = 20ft\) implies that the search light span 10 units to either side of the x-axis

\(Base = 4ft\) implies that the search light span 4 units to the y-axis

The attached image illustrates the revolution.

From the attached image, the endpoints of the searchlight is:

\((x,y) = \{(-10,4), (10,4)\}\)

The depth (a) of the search light is calculated using:

\(x^2 = 4ay\)

Make a the subject

\(a = \frac{x^2}{4y}\)

Substitute -10 or 10 for x and 4 for y

\(a = \frac{(-10)^2}{4*4}\)

\(a = \frac{100}{16}\)

\(a = 6.25ft\)

Answer:

2

Step-by-step explanation:

becaue i siad so

Answer:

Step-by-step explanation: learn yourself yw -dabay

The operations E-A,  A+E and B+D are defined for the matrices.

A matrix (plural matrices) is a set of numbers arranged in rows and columns so as to form a rectangular array.

The number of rows of a matrix can be determined by counting from top to bottom and the number of columns can be determined by counting from left to right.

Matrices can only be added or subtracted only when they have the same dimensions, i.e. the same number of rows and the same number of columns. When adding or subtracting matrices, the corresponding elements of the matrices are added or subtracted.

Matrices A and E have the same dimensions i.e. They have 4 rows and 2 columns each.

Thus, the operations E-A (subtraction) and A+E (addition) are defined for the matrices.

Also, matrices B and D have the same dimensions i.e. They have 2 rows and 2 columns each.

Thus, the operations  B+D (addition) is defined for the matrices.

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Answer:

152

Step-by-step explanation:

a = 3; b = -8

2b² − 4a + 4a² =

= 2(-8)² - 4(3) + 4(3)²

= 2(64) - 12 + 4(9)

= 128 - 12 + 36

= 116 + 36

= 152

Using lexicographic ordering of 4-sets, the two correct inequalities are {2,1,4,5}<{1,16,67,4} {1,5,7,8}<{1,6,67,8}

Lexicographic ordering, also known as a dictionary or alphabetical order, is a method of comparing sequences of elements. In this case, we are comparing 4-sets. When comparing two sets, we start by comparing the first elements of each set. If they are equal, we proceed to compare the second element, and so on until we find a pair of elements that are different. The set with the smaller element at that position is considered smaller in lexicographic order.

1. In the first inequality, {2,1,4,5}<{1,16,67,4}, we can see that the first element of the first set (2) is greater than the first element of the second set (1). Therefore, the second set is smaller in lexicographic order, making the inequality correct.

2. In the second inequality, {1,5,7,8}<{1,6,67,8}, the first elements are equal (1). So, we proceed to compare the second elements. The second element of the first set (5) is smaller than the second element of the second set (6), so the first set is smaller in lexicographic order, making the inequality correct.

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True, The Laffer curve shows the exclusively direct relationship that exists between tax rates and tax revenues

The Laffer Curve was developed by Arthur Laffer. Arthur, a supply side economist used this curve to show the relationship that existed between tax rates and also the amount of tax revenue which the government takes or collects. This curve provides an illustration to his argument that sometimes when tax rates are cut there could be increase in total tax revenue.

True, The Laffer curve shows the exclusively direct relationship that exists between tax rates and tax revenues

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Answer:

27.5

Step-by-step explanation:

Answer: I got 27.5

Step-by-step explanation:

This is a fraction equal to

220 miles ÷ 8 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 8

220 miles ÷ 8

8 hours ÷ 8

=

27.5 miles

1 hour

=

27.5 miles

hour

= 27.5 miles per hour