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2 years ago

8- 2 to the root of 4+8*2^3-(3+14-5)/12

Mathematics

1 answer:

Molodets [167]2 years ago

6 0

$8-2^{ \sqrt{4}} +8 \times 2^{3} -\frac{3+14-5}{12}$
$= 8 -2^{2} +8 \times 8 -\frac{12}{12}$
$= 8-4+64-1 = 67$

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The average score of all golfers for a particular course has a mean of 61 and a standard deviation of 3.5 . Suppose 49 golfers p

Nadya [2.5K]

Answer:

The probability that the average score of the 49 golfers exceeded 62 is 0.3897

Step-by-step explanation:

The average score of all golfers for a particular course has a mean of 61 and a standard deviation of 3.5

$\mu = 61$

$\sigma = 3.5$

We are supposed to find he probability that the average score of the 49 golfers exceeded 62.

Formula : $Z=\frac{x-\mu}{\sigma}$

$Z=\frac{62-61}{3.5}$

$Z=0.285$

Refer the z table for p value

p value = 0.6103

P(x>62)=1-P(x<62)=1-0.6103=0.3897

Hence the probability that the average score of the 49 golfers exceeded 62 is 0.3897

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3 years ago

Tasha wants to graph a line that is parallel to the line with equation y = 3x. Give two examples of linear equations that repres

Arturiano [62]

When two lines are <em><u>parallel, that means they have the same slope! </u></em>

The slope is the coefficient of x

In the equation y = 3x, <u>the slope is 3 </u>

An example of a line that is above y = 3x is ...

y = 3x + 2

The "+2" <em>shifts the line up </em>by 2 on the y axis

An examples of a line that is below y = 3x is ...

y = 3x - 3

The "-3" <em>shifts the line down</em> by 3 on the y axis

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2 years ago

Sandy evaluated the expression below

andre [41]

Answer:

Sandy should have evaluated (-2)³ as -8

Step-by-step explanation:

(-2)³ (6 - 3) - 5(2 + 3) = -8 · 3 - 5 · 5 = - 24 - 25 = - 49

Because:

(-2) · (-2) · (-2) = 4 · (-2) = - 8

God with you!!!

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2 years ago

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Mrs.Alvarez bought a new car her monthly payments are $525.If she will pay a total of $25,200 in payments,write and solve a mult

yaroslaw [1]

525 * N = 25200

you can solve it i expect.

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2 years ago

Which figure has the same area as the parallelogram shown below? A. A triangle with a base of 4 mm and a height of 20 mm B. A tr

Arisa [49]

<h2>Answer: A trapezoid with bases of 6 mm and 14 mm and a height of 8 mm </h2>

The parallelogram in the figure has an area of $80mm^{2}$ , according to the following formula, which works for all rectangles and parallelograms:

$A_{parallelogram}=(b)(h)$ (1)

Where $b$ is the base and $h$ is the height

The<u> area of a triangle</u> is given by the following formula:

$A_{triangle}=\frac{1}{2}(b)(h)$ (2)

So, for option A:

$A_{triangle}=\frac{1}{2}(4mm)(20mm)=40mm^{2} \neq 80mm^{2}$

Now, the <u>area of a trapezoid </u>is:

$A_{trapezoid}=\frac{1}{2}(b_{1}+ b_{2})(h)$ (3)

For option B:

$A_{trapezoid}=\frac{1}{2}(15mm+25mm)(2 mm)=40mm^{2} \neq 80mm^{2}$

For option C:

$A_{trapezoid}=\frac{1}{2}(6mm+14mm)(8 mm)=80mm^{2}$ >>>>This is the correct option!

For option D:

$A_{rectangle}=(30mm)(8mm)=240mm^{2} \neq 80mm^{2}$

<h2>Therefore the correct option is C</h2>

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2 years ago