If SS= 162 from a sample of 15 data, find s^2

Julie can type 3 pages in x minutes; to find the time to type 11 pages, set up a proportion and solve, resulting in 11x/3 minutes.

Since Julie can type 3 pages in x minutes, the rate at which Julie types is 3 pages per x minutes. If we want to find out how many minutes it will take her to type 11 pages, we simply set up a proportion based on her typing rate:

3 pages / x minutes = 11 pages / y minutes

To solve for y, which is the time it will take to type 11 pages, we cross-multiply and get:

3y = 11x

Then, we divide both sides of the equation by 3, yielding:

y = 11x / 3

The answer is option (e): 11x / 3.

Answer:The symbol means greater than

Step-by-step explanation:

Answer:

The symbol '>' is always read from left to right, and it means greater than.

Step-by-step explanation:

In mathematics, such relationships between the two expressions which are not equal to one another are said to be inequalities.

To express these inequalities, certain symbols are used which include the following ones:

<, >, ≤, ≥ and ≠

All these symbol are always read from the left side towards the right side and the symbol '>' means greater than.

Answer:

The Answer is 8

Step-by-step explanation:

1) C2-B2=A2

C2=100 because 10 squared is 100 or 10x10= 100

B2=36 because 6 squared is 36 or 6x6=36

2) Subtract

100-36=64

√(64)=8

Your answer is 8.

Answer:

The Answer is 8

Answer:  [tex]\frac{5}{6}[/tex]

Step-by-step explanation:

Let's call the  time he carried the ball: t

You know that he bounced the  ball for 1/3 of his recess.

You also know that he threw the ball in the air and caught it 3/6 of the time.

Therefore, to solve the exercise you only need to add both fractions, as you can see below. Therefore, the result is:

[tex]t=[/tex][tex]\frac{1}{3}[/tex]+[tex]\frac{3}{6}[/tex]

[tex]t=[/tex][tex]\frac{5}{6}[/tex]

Answer:

-2/8

Step-by-step explanation:

Since both numbers are negative we want to find which ever is closer to 0. -2/8 is -1/4 which is closer to 0 then -2/3 so -2/8 is larger

To represent the scale of a drawing in ratio, if the length in drawing is a, and the matching length on the real thing is b, the ratio of the scale of the drawing is a:b.

The drawing is missing, however, here is a clue to solving a problem like this.

Therefore, to represent the scale of a drawing in ratio, if the length in drawing is a, and the matching length on the real thing is b, the ratio of the scale of the drawing is a:b.

Learn more about scale of a drawing on:

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Answer:

The zero would be -2.714 (x-intercept)

[tex]\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (y^6)^{-2}\implies y^{-2\cdot 6}\implies y^{-12}\implies \cfrac{1}{y^{12}}[/tex]

Answer:

The correct answer is 3πcm

Step-by-step explanation:

The length of an arc is calculated using the formula P=∅/360×2πr

where ∅is the angle the arc subtends at the center of the circle, and r is the radius of the circle of which the arc is part.

2r gives the diameter which from the diagram corresponds to AB=36 cm

therefore P=30/360×π×36

=3πcm

5pi is the answer

..............................

Answer:

Solve e + 5 = 3e − 11 to find the value of e

Step-by-step explanation:

Let

j------> Jamie's age

e----> Ella's age

we know that

[tex]j=e+5[/tex] -----> equation A

[tex]j=3e-11[/tex] -----> equation B

equate equation A and equation B and solve for e

[tex]e+5=3e-11[/tex]

[tex]3e-e=5+11[/tex]

[tex]2e=16[/tex]

[tex]e=8[/tex]

Find the value of j

[tex]j=8+5=13[/tex]

Jamie's age is 13 years old

Ella's age is 8 years old

Answer:

28.4

Step-by-step explanation:

Translate the statement into an equation, and then solve the equation.

Let x be the number we are looking for.

155% of what number is 44?

155% of x is 44

In math "of" usually means multiplication.

155% * x = 44

To change a percent to a decimal, divide by 100 which means move the decimal point 2 places left. 155% = 155/100 = 1.55

1.55x = 44

Divide both sides by 1.55 to solve for x.

1.55x/1.55 = 44/1.55

x = 28.4

Answer: 28.4 (rounded to the nearest tenth)

1/5 this shows that each can be picked up at Least 1/5 or 2/10

P(A and B) =

1

2

·

1

2

Two events A and B are independent if the probability of A and B occurring together is the product of their probabilities,

P(A and B) =

1

2

·

1

2

P(red, blue) =

1

2

·

1

2

1

4

=

1

2

·

1

2

Answer: Third option.

Step-by-step explanation:

A ⊂ B this means that A is subset of B.

If A is subset of B (A ⊂ B), then all the elements of A belong to the subset B.

For example, the set of the Natural numbers is a subset of the Real Numbers.

Then, A ∩ B are all the elements that belong to AB at the same time.

A ∪ B are all the elements of A and all the elements of B.

But if we already said that A is inside of B, then:

 A ∩ B = A ≠ A ∪ B

A ∩ B = A ∪ B only happen when the set A=set B.

Therefore, the answer is: NEVER.

Answer: Off the top of my head, I can see that B is a correct statement.

Step-by-step explanation: 4 x 2 = 8

3 x 2 = 6

this multiplication shows that statement B is true.

4(xsquared -2) thats the answer

So, this is technically (4x×4x)-8. Therefore, the answer is 16x-8.

Answer:

The answer is 165 in.

Step-by-step explanation:

The first shape (On the right) has a length of 3in. If you look at the top. and the height is 9in. Now you can find the width by looking at the other shape on the left and its width is 3in. Good thing the width on that shape matches the width on the right shape. so now you multiply 3, 3, and 9 and you get 81.

Now you look at the shape on the left. We already know the width which is 3in. and the height is 4in. to find the length don't look at the 10in. the 10 is the 1st and 2nd shape put together. look at the top of the shape on the left and there is a 7. That 7 is your length. now you multiply 7, 3, and 4 and you should get 84. Now you add 84 and 81 and you are left with the answer of 165in squared.

The total surface area of the two cubical figures is A = 224 inches²

A cuboid is defined as a three-dimensional shape, that has six rectangular faces, eight vertices and twelve edges

The total surface area of the cuboid is given by the formula

Surface Area = 2 ( LH + LW + HW )

where ,

Length of the cuboid = L

Width of the cuboid = W

Height of the cuboid = H

Given data ,

Let the surface area of the figure be represented as A

Now , let the surface area of the first cuboid be A₁

And , let the surface area of the second cuboid be A₂

On simplifying the equation , we get

The surface area of the cuboid A₁ = ( 3 x 4 ) + 2 ( 7 x 3 ) + 2 ( 7 x 4 )

The surface area of the cuboid A₁ = 12 + 42 + 56

The surface area of the cuboid A₁ = 110 inches²

And ,

The surface area of the cuboid A₂ = 2 ( 3 x 3 ) + 3 ( 9 x 3 ) + ( 5 x 3 )

The surface area of the cuboid A₂ = 18 + 81 + 15

The surface area of the cuboid A₂ = 114 inches²

So , the total surface area of the figure A = surface area of the cuboid A₁ + surface area of the cuboid A₂

The total surface area of the figure A = 110 inches² + 114 inches²

The total surface area of the figure A = 224 inches²

Hence , the total surface area of the figure A = 224 inches²

To learn more about surface area of cuboid click :

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#SPJ6

that's too easy question anyway thanks for giving me points.

it's x+x+x

Answer:

B. [tex]x+x+x[/tex]

Step-by-step explanation:

We are asked to find the equivalent expression to [tex]3x[/tex].

Our given expression stands for 3 times x. This means x is multiplied by 3 or we can say that x is added to itself 3 times.

We can rewrite [tex]3x[/tex] as [tex]x+x+x[/tex].

Upon looking at our given choices, we can see that only option B is the correct choice.

The answer is A: 225

Answer:

[tex]\frac{7x + 7}{(x-3)(x+4)}[/tex]

Excluded values are 3 and -4

Step-by-step explanation:

To simplify the expression multiply to create a common denominator.

Multiply the first fraction by (x-3) and the second fraction by (x+4).

[tex]\frac{3}{x+4} + \frac{4}{x-3}\\\\\frac{3(x-3)}{(x+4)(x-3)} + \frac{4(x+4)}{(x-3)(x+4)}[/tex]

[tex]\frac{3(x-3)}{(x+4)(x-3)} + \frac{4(x+4)}{(x-3)(x+4)} \\\\\frac{3(x-3) + 4(x+4)}{(x-3)(x+4)}\\\\\frac{3x - 9 + 4x + 16}{(x-3)(x+4)}\\\\\frac{7x + 7}{(x-3)(x+4)}[/tex]

Excluded values are values which make the denominator 0. This means (x-3)(x+4) cannot be 0. This means x cannot be 3 or -4. These are excluded values.

Answer:

I believe your answer is 7

Step-by-step explanation:

When dividing numbers with exponents, you subtract the exponents.

11 - ? = 4

The missing exponent is 7.

The answer is they are perpendicular

Answer:

C

Step-by-step explanation:

y = -7x - 3 is a linear function that follow y = mx+b. M is the slope or rate. Here m = -7 so the fish descends 7 meters per second. B is the y-intercept or starting position. Here the starting position is -3 so the fish starts 3 feet below sea level.

Answer:

You are looking for your first credit card. You plan to use this credit card only for emergencies and to pay the credit card balance in full each month. Which credit card feature is most important?

b. Low APR

c. Generous rewards program

d. No balance transfer fee

Final answer:

0.600 written in word form is 'six hundred thousandths'. This is based on identifying the place value of the last digit and expressing the number as a fraction of that place value.

Explanation:

The number 0.600 written in word form is six hundred thousandths.

Here's a step-by-step guide on how to express the decimal in words:

Answer:

serious??? D-180

Step-by-step explanation:

the perimeter of the triangle shown on the coordinate plane to the nearest tenth of a unit is 21 units. Therefore, option c is the correct answer.

To find the perimeter of the triangle shown on the coordinate plane, we need to calculate the lengths of each side and then add them together.

Step 1: Calculate the length of the first side.

Using the distance formula, the length of the side connecting (-3, 3) and (3, -3) is:

√[(3 - (-3))^2 + (-3 - 3)^2] = √[6^2 + (-6)^2] = √[36 + 36] = √72.

Step 2: Calculate the length of the second side.

Using the distance formula, the length of the side connecting (3, -3) and (3, 3.5) is:

√[(3 - 3)^2 + (3.5 - (-3))^2] = √[0^2 + 6.5^2] = √[0 + 42.25] = √42.25.

Step 3: Calculate the length of the third side.

Using the distance formula, the length of the side connecting (3, 3.5) and (-3, 3) is:

√[(-3 - 3)^2 + (3 - 3.5)^2] = √[-6^2 + (-0.5)^2] = √[36 + 0.25] = √36.25.

Step 4: Calculate the perimeter by adding the lengths of the sides.

Perimeter = √72 + √42.25 + √36.25.

Now we can simplify the answer to the nearest tenth:

Perimeter ≈ 8.5 + 6.5 + 6 = 21.

Therefore, the perimeter of the triangle shown on the coordinate plane to the nearest tenth of a unit is 21 units.

Therefore, option c is the correct answer.

Answer:  option C

[tex]x=-10\\y=11[/tex]

Step-by-step explanation:

You can apply the elimination method:

- Multiply the second equation by 3.

- Add both equations to cancel out the variable x.

- Solve for y:

[tex]\left \{ {{-3x+5y=85} \atop {(3)(x+4y)=34(3)}} \right.\\\\\left \{ {{-3x+5y=85} \atop {3x+12y=102}} \right.\\-------\\17y=187\\y=11[/tex]

- Substitute y=11 into any of the original equations ans solve for x. Then:

[tex]x+4(11)=34\\x=34-44\\x=-10[/tex]

The answers are:

[tex]x=-10\\y=11[/tex]

We can solve system of equations using several methods, but the simplest way to solve it, is isolating variables in terms of another variables.

So, isolating "x" from the second equation we have:

[tex]x + 4y =34\\x=34-4y[/tex]

Then, substituting "x" into the first equation, we have:

[tex]-3(34-4y) +5y =85\\-102+12y+5y=85\\17y=85+102\\17y=187\\y=\frac{187}{17}=11\\[/tex]

Now, substituting "y" into the second equation to calculate "x", we have:

[tex]x + 4(11) =34\\x=34-44\\x=-10[/tex]

So, the solutions for the system of equations are:

[tex]x=-10\\y=11[/tex]

Have a nice day!

Answer:

21

Step-by-step explanation:

Note that n! = n(n - 1)(n - 2) ..... × 3 × 2 × 1, thus

7! = 7 × 6 × 5 × 4 × 3 × 2 × 1

5! = 5 × 4 × 3 × 2 × 1

2! = 2 × 1

Hence

cancel 5 × 4 × 3 × 2 × 1 on numerator/ denominator, leaving

[tex]\frac{7(6)}{2(1)}[/tex] = [tex]\frac{42}{2}[/tex] = 21

After evaluating the given information about the algebraic and graphed functions, we can conclude that the algebraic function f(x) = -5x^2 - 8x, which is a downward-opening parabola, has a greater maximum value than the graphed function in question. Therefore, the correct answer is option A.

To compare the algebraically expressed function f(x) = -5x^2 - 8x with a given graphed function, we need to look at their respective shapes and key features. Since f(x) is a quadratic function with a negative coefficient for the x^2 term, it is a downward-opening parabola that will have a maximum value. Without more information about the graphed function, we can still analyze the given description to ascertain its nature.

Based on the given statements, let's identify which function has a greater maximum or a lower minimum value:

In conclusion, given that f(x) = -5x^2 - 8x is a downward-opening parabola with a definite maximum value, and none of the provided statements about the graphed function suggest it has a maximum value higher than a constant value or a parabola, we can conclude that:

The algebraic function has a greater maximum value, so the correct answer would be option A.

The graphed function has a greater maximum value. The algebraic function's downward-opening parabola indicates a maximum value, and the graphed function's characteristics suggest it may have a higher maximum (option c).

To determine the maximum values of the algebraic function [tex]\(f(x) = -\frac{5}{2}x^2 - 8x\)[/tex] and the graphed function, we need to analyze the coefficient of the quadratic term in the algebraic expression. The quadratic term is [tex]\(-\frac{5}{2}x^2\)[/tex], and since the leading coefficient is negative, the parabola opens downwards. This means that the algebraic function has a maximum value, and the coefficient [tex]\(-\frac{5}{2}\)[/tex] determines the concavity.

Comparatively, the graphed function on the graph may have a different leading coefficient, affecting the concavity. If the graphed function has a positive leading coefficient, it opens upwards, suggesting a minimum value. Conversely, if it has a negative leading coefficient, it opens downwards, indicating a maximum value (option c).

In the case of the given options, statement C is correct. The graphed function has a greater maximum value because the leading coefficient of the quadratic term in the algebraic function is negative, resulting in a downward-opening parabola with a maximum point. Therefore, the graphed function, depending on its characteristics, may exhibit a greater maximum value.

The complete question of the given answer is:

Compare the algebraically expressed function [tex]\(f(x) = -\frac{5}{2}x^2 - 8x\)[/tex] to the function shown in the graph to determine which statement is true.

A) The algebraic function has a greater maximum value.

B) The algebraic function has a lower minimum value.

C) The graphed function has a greater maximum value.

D) The graphed function has a lower minimum value."