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3 years ago

2(2x + 7) = 2 + 2xA. One Solution B. No Solution C. Infinite Solutions

Mathematics

2 answers:

salantis [7]3 years ago

7 0

Answer: c no solution

Step-by-step explanation:

Variables (like x) do not have a actual number, so you can never truly answer the equation. Without a key, like a= 24. Number c.

Rudik [331]3 years ago

5 0

B. I am so sorry if it is not right

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Calculate the sample mean and sample variance for the following frequency distribution of heart rates for a sample of American a

spin [16.1K]

Answer:

$Mean = 68.9$

$s^2 =18.1$ --- Variance

Step-by-step explanation:

Given

$\begin{array}{cccccc}{Class} & {51-58} & {59-66} & {67-74} & {75-82} & {83-90} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}$

Solving (a): Calculate the mean.

The given data is a grouped data. So, first we calculate the class midpoint (x)

For 51 - 58.

$x = \frac{1}{2}(51+58) = \frac{1}{2}(109) = 54.5$

For 59 - 66

$x = \frac{1}{2}(59+66) = \frac{1}{2}(125) = 62.5$

For 67 - 74

$x = \frac{1}{2}(67+74) = \frac{1}{2}(141) = 70.5$

For 75 - 82

$x = \frac{1}{2}(75+82) = \frac{1}{2}(157) = 78.5$

For 83 - 90

$x = \frac{1}{2}(83+90) = \frac{1}{2}(173) = 86.5$

So, the table becomes:

$\begin{array}{cccccc}{x} & {54.5} & {62.5} & {70.5} & {78.5} & {86.5} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}$

The mean is then calculated as:

$Mean = \frac{\sum fx}{\sum f}$

$Mean = \frac{54.5*4+62.5*3+70.5*11+78.5*13+86.5*4}{6+3+11+13+4}$

$Mean = \frac{2547.5}{37}$

$Mean = 68.9$ -- approximated

Solving (b): The sample variance:

This is calculated as:

$s^2 =\frac{\sum (x - \overline x)^2}{\sum f - 1}$

So, we have:

$s^2 =\frac{(54.5-68.9)^2+(62.5-68.9)^2+(70.5-68.9)^2+(78.5-68.9)^2+(86.5-68.9)^2}{37 - 1}$

$s^2 =\frac{652.8}{36}$

$s^2 =18.1$ -- approximated

5 0

2 years ago

PLEASE HELP!!!! Find the value of -7 - 8 - (-8) - 7. 0 14 -14 -30

miskamm [114]

-7 - 8 - (-8) - 7 × 0(14) - 14 - 30

(I think that's what that says)

Do PEMDAS

0(14) = 0

-7 × 0 = 0

You're left with -7 - 8 - (-8) - 14 - 30

Go from left to right

-7 - 8 = -15

-15 - (-8) = -7

-7 - 14 = -21

-21 - 30 = -51

7 0

3 years ago

Read 2 more answers

Factorization of the expression (3x-2y)((a+b)+(4x-3y)(a+b)

Mrrafil [7]

Hi!!
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8 0

2 years ago

What is (2/3) to the 4th power?

Wewaii [24]

$(\frac{2}{3})^4= \frac{2^4}{3^4}= \boxed{\frac{16}{81}}$

8 0

3 years ago

159.98 divided by 6 <br><br> ASAPP

ArbitrLikvidat [17]

159.98 divided by 6 is 26.66, hopefully this is correct...

4 0

3 years ago

2(2x + 7) = 2 + 2xA. One Solution B. No Solution C. Infinite Solutions​

2(2x + 7) = 2 + 2xA. One Solution B. No Solution C. Infinite Solutions