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3 years ago

Solve for p 2(p + 1) = 24

Mathematics

1 answer:

Makovka662 [10]3 years ago

4 0

Answer:

p=11

Step-by-step explanation:

2(p + 1) = 24

Divide each side by 2

2/2(p + 1) = 24/2

p+1 = 12

Subtract 1 from each side

p+1-1 = 12-1

p =11

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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

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2 years ago

What is the range of f(x) = – 4?

aliya0001 [1]

Range is the value of the output
basically
y=f(x)
since it is -4

y=-4 is the range
not listed

7 0

3 years ago

How to Rewrite 8 + 36 as a product of their GCF and the sum of two factors

siniylev [52]

Answer:

4 (2 + 9)

Step-by-step explanation:

Given expression:

8 + 36

The greatest common factor is the highest number that divides a number:

8 and 36 ;

Factors of 8 : 1,2,4, 8

36 : 1, 2, 3, 4, 9, 18, 36

The highest common factor is 4;

8 + 36 = 4 (2 + 9)

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2 years ago

Explain how you can use compatible numbers to estimate the whole-number quotient of 925÷29.

alukav5142 [94]

Answer:

below

Step-by-step explanation:

Round 925 to 900

Round 29 to 30

900/30

= 30

Answer to 925/29:

31.89

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2 years ago

B is 30 more than a. B is 6 times as many as a. What is the value of a and b ?

12345 [234]

Answer:

180 is the answer you multiple 6 times 30

4 0

3 years ago

Read 2 more answers