Do the ratios 21:45 and 7:15 form a proportion?

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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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]

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).

Answer:

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

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%

It diverges

Step-by-step explanation:

it is an alternating sequence hence it will diverge

Answer:

≈2825

Step-by-step explanation:

28250*10%≈2825

Pay attention to the ≈ sign

Step-by-step explanation:

The answer is 0.8 as a fraction is 4/5

Answer:

The range of an exponential function, or any function is all the possible y values the function can spit out.

In MOST exponential functions they will be x>0

I am talking about the standard form: y = a * b^x

I cannot tell you the range for YOUR exponential function without seeing it first.

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:

Step-by-step explanation:

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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Answer:

36+2.67

Step-by-step explanation:

I hope this is correct

Answer: The median is 96

Step-by-step explanation:

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

30 - 18 = 12 days it will rain

hope it helps...!!!

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:

wE NEED MORE CLARIFICATION

Step-by-step explanation:

What is the equasion
What is the link

Answer:

im passing this concept trust me answer is 34.8

Step-by-step explanation:

Reason:

Multiply each coordinate of D(-2,-4) by the scale factor 3 to get (-6, -12)

In other words, triple each coordinate of point D.

This trick only works if the center of dilatioin is the origin.

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:I guess

represent

expression

degree of 4

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

The value of a where the Limit of g(x) as x approaches alpha not exist are -1 and 1

The limit of a function is the limit of a function as x tends to a value.

From the given graph, you can see that the function g(x) goes large at the point where the arrows orange and purple point down from the x-coordinates -1 and 1.

Hence the value of a where the Limit of g(x) as x approaches alpha not exist are -1 and 1

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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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Answer:

the no. are -10 and -24

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