What is the volume of the figure, in cubic centimeters?

Answer:

The two integers should be 3 and 1

To determine the lower price, the formula should use a z-value that is less than -1.

We are given;

Mean; x' = $6.32

Standard deviation; s = $0.47

A positive z-score indicates the raw score is higher than the mean average while a negative z-score indicates the raw score is below the mean average.

Now, we want to find out the lower price from the definition above, we have to use a negative z-score which in this case will be -1.

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When x = 1:

1³ + 1 - 3 = -1

When x = 2:

2³ + 2 - 3 = 7

Since f(x) = x³ + x - 3 is continuous, it follows from the intermediate value theorem that for some c in the interval (1, 2), we have f(c) = 0, since f(1) < 0 < f(2).

The square pyramid with a base with edges of 6 inches and slant height of 4 inches have a surface area of 84 in².

The net of the square pyramid have a base of 6 inches and the height of each triangle is 4 inches.

An equation is an expression that shows the relationship between two or more numbers and variables.

The square pyramid with a base with edges of 6 inches and slant height of 4 inches. Hence:

Surface area = (6 * 6) + 2(6 * 4) = 84 in²

The net of the square pyramid have a base of 6 inches and the height of each triangle is 4 inches.

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Ok then im doing the 3rd one:

Area of a parallelogram =b.h

[tex]11 \frac{3}{4} \times 8 \frac{1}{3} \\ = 11.75 \times 8.33 \\ = 97.8775 \\ = \boxed {97.9}[/tex]

Answer:

90%

Step-by-step explanation:

Do 72/80 to find the decimal

72/80=0.9

Then to convert decimal to percent move the decimal point two times to the right.

0.9=90%

Answer:

27 degress; complementary

Step-by-step explanation:

complementary is when is adds up to 90 and you need 27 more degrees to make it 90

Answer:27 degrees

Step-by-step explanation:

just need points

Answer:

17/18pi or 2.97

Step-by-step explanation:

170 degrees to radian

170 * pi / 180 degrees

so, 170pi/180

17/18pi or 2.97

Answer:

≈2825

Step-by-step explanation:

28250*10%≈2825

Pay attention to the ≈ sign

(3/5) × 30 = 3 × 6 = 18 days it won't rain

30 - 18 = 12 days it will rain

hope it helps...!!!

Answer: The median is 96

Step-by-step explanation:

It diverges

Step-by-step explanation:

it is an alternating sequence hence it will diverge

Answer:

36+2.67

Step-by-step explanation:

I hope this is correct

We are given that, a computer can sort x objects in t seconds, and the below relations is satisfied for each x and t

For 12 objects, we can substitute x = 12

⇒ t = (3/1000) (12)² + (1/1000) 12

⇒ t = (12/1000) (3 × 12 + 1)

⇒ t = (12×37/1000)

⇒ t = 444/1000

⇒ t = 0.444

⇒ t ≈ 0.40 seconds (2 dp)

Answer:

Step-by-step explanation:

Answer:

the no. are -10 and -24

when we add -10 with -24 we get -34

Step-by-step explanation:

x + 5 = 3x -12 + 5

x + 5 = 3x - 7

Subtract 5 from both sides....

x + 5-5 = 3x -7 - 5

x = 3x - 12

Change the sign ...

12 = 3x - x

12 = 2x

12/2 = x

x = 6

hence 6 is the answer.......

[tex]\large\textsf{\textbf{Answer\::}}[/tex]

x=6

[tex]\large\textsf{\textbf{Calculations\::}}[/tex]

First , use the Distributive Property :

x+5=3(x-4)+5

x+5=3x-12+5

x+5=3x-7

subtract 3x on both sides :

x-3x+5=-7

-2x+5=-7

Subtract 5 on both sides :

-2x=-7-5

-2x=-12

divide by -2 on both sides :

x=6

We've found the value of x : x = 6 .

[tex]\footnotesize\text{hope\:helpful~}[/tex]

Answer:

y = 2x

Step-by-step explanation:

Parallel line share the same slope, therefore we can put any parallel line of y = 2 (x + 1) in equation as: y = 2x + k

As the parallel has to intercept with point (2/3, 1/3), simply put the coordinate into the equation to get value of k

2/3 = 2(1/3) + k

k = 0

Therefore the equation of this parallel line is y = 2x

Answer:

The scale factor is 5 because the increase in each side of the shape is *5

Using it's concept, it is found that:

In this problem, the mean of the data-set is given by:

M = (4.6 + 8.5 + 7.2 + 6.6 + 5.1 + 6.2 + 8.1 + 10.3)/8 = 7.075.

Hence, the mean absolute deviation is given by:

MAD = (|4.6-7.075| + |8.5-7.075| + |7.2-7.075| + |6.6-7.075| + |5.1-7.075| + |6.2-7.075| + |8.1-7.075| + |10.3-7.075|)/8 = 1.45

Then:

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Find the slope:

(-19 - 11) / (-8 - 2) = (-30/-10) = 3

Find the y intercept:

y = mx + b

11 = 3(2) + b

b= 5

So equation is:

y = 3x + 5

Answer:

See below ~

Step-by-step explanation:

This is a combination because the order in which the players are selected is not important.

Number of ways

Apply combination

[tex]\\ \rm\Rrightarrow ^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]

So

[tex]\\ \rm\Rrightarrow ^{14}C_3[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{14!}{3!(14-3)!}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{14(13)(12)(11!)}{3!11!}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{14(13)(12)(11)}{6}[/tex]

[tex]\\ \rm\Rrightarrow 14(13)(2)(11)[/tex]

[tex]\\ \rm\Rrightarrow 4004[/tex]

Answer:

c/6 or c divided by 6

Step-by-step explanation:

Answer:

[tex]y = 3x - 27[/tex]

Step-by-step explanation:

[tex]y - y0 = m(x - x0) \\ y - ( - 9) = 3(x - 6) \\ y + 9 = 3x - 18 \\ y = 3x - 27[/tex]

Using a system of equations, it is found that each Celine episode is 65 minutes long and each Paul episode is 127 minutes long.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are given by:

Last year, Celine released 39 episodes and Paul released 42 episodes, for a total of 7,869 minutes of content, hence:

39x + 42y = 7869

Then:

[tex]y = \frac{7869 - 39x}{42}[/tex]

This year, Celine released 14 episodes and Paul released 41 episodes, which lasted a total of 6,117 minutes, hence:

14x + 41y = 6117.

Since [tex]y = \frac{7869 - 39x}{42}[/tex]:

[tex]14x + 41\frac{7869 - 39x}{42} = 6117[/tex]

14x - 38.07x = -1564.64.

x = 1564.64/24.07

x = 65.

[tex]y = \frac{7869 - 39 \times 65}{42} = 127[/tex]

Hence, each Celine episode is 65 minutes long and each Paul episode is 127 minutes long.

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