The heights of the starting players on each of two basketball teams are shown in the table below. Heights of Starters on Team A and Team B Team A 70 in. 72 in. 75 in. 68 in. 70 in. Team B 71 in. 73 in. 71 in. 72 in. 73 in. Jacob found that the mean height of Team A is 71 and the mean height of Team B is 72. He believes that because Team B has a greater mean, it also has a greater mean absolute deviation. Which explains Jacob's error? One of the means is incorrect, but the reasoning is correct. Both of the means are incorrect, and the reasoning is also incorrect. Both of the means are correct, but the reasoning is incorrect. O One of the means is incorrect, and the reasoning is also incorrect.​

Answer:

Average Mean = 1.8

Step-by-step explanation:

Missing:

X:0 1 2 3 4 5 6

P(x): 0.20 0.30 0.20 0.15 0.10 0.05

Computation:

Average Mean [Probability distribution]

∑[P(x) × X]

= 0 x 0.20 + 1 x 0.30 + 2 x 0.20 + 3 x 0.15 + 4 x 0.10 + 5 x 0.05

= 1.8

Average Mean = 1.8

Answer:

730 days =

2 calendar years

Time

730

2 years

Calendar year

Formula

divide the time value by 365

Answer:

2 years

Step-by-step explanation:

There are 365 days in a given year.

In order to solve this, divide 730 by 365:

730/365 = 2

Therefore, 730 days is 2 years.

Answer:

Step-by-step explanation:

add then subtact D from 3

Answer:

24

Step-by-step explanation:

39-15=24

Answer:

24

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

Set up a proportion. The ratio number of gray mice corresponds (is across from) the total number of gray mice (24)

5/2 = x/24                            Cross multliply

2*x = 5*24                            Multiply 5 by 24

2x = 120                               Divide by 2

x = 120/2

x = 60 Which represents the number of white mice.

So the white mice + gray mice = 60 + 24 = 84

Answer: 11x - 9y - 3

Step-by-step explanation:

Collect like terms - start with x

9x - 8y +2x - 6 - y + 3

11x - 8y - 6 - y + 3

Collect all y terms

11x - 9y - 6 +3

Collect all integers

11x - 9y - 3 - final answer

Answer:

The zeros of f(x) are:

[tex]x=5,\:x=4,\:x=2[/tex]

Step-by-step explanation:

Given the expression

[tex]f\left(x\right)\:=\:\left(x\:-\:5\right)\left(x\:-\:4\right)\left(x\:-\:2\right)[/tex]

substituting f(x) = 0 to determine zeros of f(x)

[tex]0\:=\:\left(x\:-\:5\right)\left(x\:-\:4\right)\left(x\:-\:2\right)[/tex]

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

[tex]x-5=0\quad \mathrm{or}\quad \:x-4=0\quad \mathrm{or}\quad \:x-2=0[/tex]

solving x-5=0

[tex]x-5=0[/tex]

adding 5 to both sides

[tex]x-5+5 = 0+5[/tex]

[tex]x = 5[/tex]

solving x-4=0

[tex]x-4=0[/tex]

adding 4 to both sides

[tex]x-4+4 = 0+4[/tex]

[tex]x = 4[/tex]

solving x-2=0

[tex]x-2=0[/tex]

adding 2 to both sides

[tex]x-2+2 = 0+2[/tex]

[tex]x = 2[/tex]

Therefore, the zeros of f(x) are:

[tex]x=5,\:x=4,\:x=2[/tex]

i can give a better answer if you give the recipe but for 24 pancakes its double and for 6 pancakes is half

Answer:

2

Step-by-step explanation:

20/10=2

The answer is:

30 seconds!

Answer:

2x^3

2*-2^3

2*-8

-16

therefore answer is -16

Answer:

The answer is below

Step-by-step explanation:

The slope of a line (m) is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Two lines are parallel if they have the same slope and perpendicular if the product of their slope is -1.

1)

[tex]Slope\ of\ PQ=\frac{1-(-2)}{9-(-3)}=\frac{1}{4} \\\\Slope\ of\ UV=\frac{-2-6}{5-3}=-4[/tex]

Since the product of their slope is -1, they are perpendicular

2)

[tex]Slope\ of\ PQ=\frac{1-7}{2-(-10)}=-\frac{1}{2} \\\\Slope\ of\ UV=\frac{1-0}{6-4}=\frac{1}{2}[/tex]

Since the slope is not the same or product of their slope is not -1, they are neither parallel or perpendicular

3)

[tex]Slope\ of\ PQ=\frac{8-1}{9-1}=\frac{7}{8} \\\\Slope\ of\ UV=\frac{8-1}{2-(-6)}=\frac{7}{8}[/tex]

Since the slopes are the same, they are parallel

4)

[tex]Slope\ of\ PQ=\frac{3-0}{9-(-4)}=\frac{3}{4} \\\\Slope\ of\ UV=\frac{6-(-3)}{8-(-4)}=\frac{3}{4}[/tex]

Since the slopes are the same, they are parallel

5)

[tex]Slope\ of\ PQ=\frac{1-2}{0-(-9)}=-\frac{1}{9} \\\\Slope\ of\ UV=\frac{-1-8}{-2-(-1)}=9[/tex]

Since the product of their slope is -1, they are perpendicular

Answer:

9

Step-by-step explanation:

Answer:

Step-by-step explanation:

total cost= c

containers of slime=s

c=5s+10

Answer:

Concept: Linear Systems

Answer:

Step-by-step explanation:

9

3

4

Answer:

1. 9

2. 3

3. 4

Step-by-step explanation:

I have taken the test and got 100% on it so I hope this helped you!

Answer:

The solution for given system of equation is: [tex]x=\frac{1}{5}\:and\:y=\frac{-9}{5}[/tex] and ordered pair is: [tex]\mathbf{(\frac{1}{5},\frac{-9}{5})}[/tex]

So, (1,3) is not solution to the given system of equations.

Step-by-step explanation:

we can solve the system of equations to find the value of x and y and then verify if (1,3) is a solution or not.

The system of equation given is:

[tex]y=6x-3\\y=x-2[/tex]

Solving:

Let:

[tex]y=6x-3--eq(1)\\y=x-2--eq(2)[/tex]

Put value of y from equation 2 into equation 1

[tex]y=6x-3\\Put\:y=x-2\\x-2=6x-3\\x-6x=-3+2\\-5x=-1\\x=\frac{-1}{-5}\\x=\frac{1}{5}[/tex]

Now, put value of x in equation 2 to find value of y

[tex]y=x-2\\Put\:x=\frac{1}{5} \\y=\frac{1}{5} -2\\y=\frac{1-2*5}{5} \\y=\frac{1-10}{5}\\ y=\frac{-9}{5}[/tex]

So, the solution for given system of equation is: [tex]x=\frac{1}{5}\:and\:y=\frac{-9}{5}[/tex] and ordered pair is: [tex]\mathbf{(\frac{1}{5},\frac{-9}{5})}[/tex]

So, (1,3) is not solution to the given system of equations.

Answer:

469

Step-by-step explanation:

1. use the formula:

[tex]a_n=a_1+d*(n-1);[/tex]

where d - the step between two nearest terms, n - number of required term; a₁ - the first term of the given sequence.

2. according the formula above:

[tex]a_{59}=5+8*(59-1)=5+464=469.[/tex]

Answer:

4/7

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome/Total outcome

Given

Total outcome = 2blue ties+1red tie+2blue coats+2orange coats

Total outcome = 7

If he wears a blue tie, then the expected outcome will be 2.

Probability that he wears blue tie = 2/7

If he wears a blue coat, then the expected outcome will be 2.

Probability that he wears blue coat = 2/7.

The probability that he wears either a blue tie or a blue coat will be 2/7+2/7 = 4/7

Answer:

Diane is faster since her speed is higher.

Step-by-step explanation:

We can find each speed in yards per second.

Tom:

25 yards / 4 seconds = 6.25 yards/second

Diane:

20 yards / 3 seconds = 6.67 yards/second

Diane's speed is higher, 6.67 yd/s vs 6.25 yd/s, so Diane is faster.

Answer: Diane is faster since her speed is higher.

Answer:

12p + 8q

Step-by-step explanation:

Answer:150

Step-by-step explanation:

The equation represents the selling price of a ticket with 65% off on the original price x is y = 0.35x and its graph has been drawn.

A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.

After that, we need to substitute the values of x's and y's into the coordinate geometry.

In order to plot the graph, we need to find out y's values corresponding to x's value

As per the given,

x = original price

y = selling price

Since tickets sold 65% off x = (65/100)x = 0.65x

y = x - 0.65x

y = 0.35x

The graph of the above function has been drawn below with a slope of 0.65.

For more information about the graph of a function

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Answer:

Answer: B. 5

Step-by-step explanation:

Combination

It's a selection of items from a collection, such that the order of selection does not matter.

It can be calculated by using factorials with the formula:

[tex]\displaystyle _mC_n=\frac{m!}{(m-n)!\ n!}[/tex]

Let's calculate:

[tex]\displaystyle _5C_1=\frac{5!}{(5-1)!\ 1!}[/tex]

[tex]\displaystyle _5C_1=\frac{5!}{(4)!\ 1!}[/tex]

Since 5!=5*4! and 1!=1:

[tex]\displaystyle _5C_1=\frac{5*4!}{(4)!\ 1!}[/tex]

Simplifying:

[tex]\displaystyle _5C_1=\frac{5}{1}=5[/tex]

Answer: B. 5

Answer:

30

Step-by-step explanation:

Well 8 x 4 is 32. And if Mrs. Kirti's 2 years younger than that, we subtract 2 from 32. So therefore 32-2=30.

This question is incomplete, the remaining part of the question is upload as an image alongside this answer.

Answer:

Width = 2x = 2( r/√2 ) =  √2 r units

Height = 2y = 2( r/√2 ) =  √2 r units

Step-by-step explanation:

From the Figure on the image; lets consider the circle of radius r, centered at the origin.  

let ABCD be the largest rectangle that can be inscribed inside the circle.  

Let the half width of the rectangle be x, then in right triangle ONB using Pythagorean theorem,  

half height of rectangle y = √(r² - x²)

Thus the width of the inscribed rectangle = 2x and height of the inscribed rectangle = 2√(r² - x²)

thus the area of the inscribed rectangle = length × width

⇒ A(x) = 2x(2√(r² - x²))

⇒ A(x) = 4x√(r² - x²)  

now in order to maximize the area, we find critical points.

so we find the derivative and set that zero, that is Ai(x) = 0.

so using product rule, we get

A'(x) = 4x × ( -2x / 2√(r² - x²) ) + ( 4 × √(r² - x²)  )

A'(x) = ( -4x² / √(r² - x²) ) + ( 4√(r² - x²)  )

Now for critical points, set A'(x) = 0

so

( -4x² / √(r² - x²) ) + ( 4√(r² - x²)  ) = 0

( 4x² / √(r² - x²) ) =  ( 4√(r² - x²)  )

x² = r² - x²

2x² = r²

x² = r²/2

x = ±√(r²/2)

Now since x represent the with, it cannot be negative, Thus

x = r/√2

hence

y = √(r² - x²) = √(r² -  r²/2) = √(r²/2) =  r/√2

Therefore, the dimensions of the rectangle of largest area will be;

Width = 2x = 2( r/√2 ) =  √2 r units

Height = 2y = 2( r/√2 ) =  √2 r units

The sampling is a an example of random sampling.

Probability is a measure of the likelihood of an event occurring. The probability formula is defined as the possibility of an event happening is equal to the ratio of the number of favorable outcomes and the total number of outcomes. Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes.

Given here: A truck manufacturer selects 3 trucks at random from each of 6 models for safety testing.

From each of six models selects 3 models and Random sampling is a part of the sampling technique in which each sample has an equal probability of being chosen. A sample chosen randomly is meant to be an unbiased representation of the total population.

Thus clearly the sample is random sampling.

Hence, The sampling is a an example of random sampling.

Learn more about probability here;

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Answer:

144

Step-by-step explanation:

The sequence is:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946

so you can see the first term larger than 120 is the 144.

The first term in the sequence to exceed 120 will be 144.

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.

The sequence is given below.

1, 1, 2, 3, 5, 8.

The sequence is given as,

aₙ = aₙ₋₁ + aₙ₋₂

The first and second terms are given as,

a₁ = 1 and a₂ = 1

Then the 7th term is given as,

a₇ = a₆ + a₅

a₇ = 5 + 8

a₇ = 13

Then the 8th term is given as,

a₈ = a₇ + a₆

a₈ = 13 + 8

a₈ = 21

Then the 12th term is given as,

a₁₂ = a₁₁ + a₁₀

a₁₂ = 89  + 55

a₁₂ = 144

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, and 144.

The first term in the sequence to exceed 120 will be 144.

More about the sequence link is given below.

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Step-by-step explanation:

I have no idea what you are asking to do lol

Answer:

i think its a hope it helps

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

did the test on ape x and 25 was the answer