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3 years ago

LET me know how you go the answer

Mathematics

1 answer:

matrenka [14]3 years ago

4 0

D , 3 ;Use the order of operations, parenthesis, exponents, multiplication, division, addition, subtraction (PEMDAS).

(7-2)^2

5^2

25 (numerator)

3^4

4+81-10

85-10

75 (denominator)

25/75

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Help?? *****10 Points*****

BartSMP [9]

Use the power rule (which says to multiply the exponents)

1) n⁴ˣ⁸ = n³²

2) x³ˣ⁻⁵ = x⁻¹⁵ = $\frac{1}{x^{15} }$

3) c³ˣ⁵ * d³ˣ⁰ = c¹⁵ * d⁰ = c¹⁵ * 1 = c¹⁵

8 0

3 years ago

What is the answer to2x-3=9-4x

Oliga [24]

I don't know if you need to solve the x but that what are going to do

Answer: 13/6

Step-by-step explanation:

2x - 3 = 9-4x

2x + 4x = 9 + 4

6x = 13

X= 13/6

X= 2.16

8 0

3 years ago

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

3 years ago

A 12 pack of soda is roughly $2.52. What is the cost per one can of soda?

Natalka [10]

Answer:

$2.52/12= $.21

the cost of one can of soda is $.21

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Which property justifies the following statement<br> If 13x=104,then x=8

Elena-2011 [213]

This is a a reflective property because it is an if then statement.

8 0

3 years ago