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3 years ago

What is the value of "twelve more than the quotient of a number and two, decreased by four" when n = 4?

Mathematics

1 answer:

Blizzard [7]3 years ago

7 0

Answer:

Step-by-step explanation:

Let

the number = n

The quotient of a number and two = n / 2

twelve more than the quotient of a number and two,

(n/2 + 12)

twelve more than the quotient of a number and two, decreased by four

(n/2 + 12) - 4

when n = 4?

(n/2 + 12) - 4

= (4/2 + 12) - 4

= (2 + 12) - 4

= 14 - 4

= 10

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What is the height of this triangle?

zavuch27 [327]

Answer:

XY (height) is approximately 20.8 feet

Step-by-step explanation:

let h = XY

tan60° = h/12

h = 12·tan60°

h = 20.78 ft

3 0

3 years ago

Find the mean and standard deviation for the set of data.

dem82 [27]

The mean and standard deviation for the set of data will be 16 and 5.87. Then the correct option is A.

<h3>What is a standard deviation?</h3>

It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in a variation.

The set of data is given below.

16, 22, 8, 5, 20, 18, 14, 17, 24

The mean of the data set will be

μ = (16 + 22 + 8 + 5 + 20 + 18 + 14 + 17 + 24) / 9

μ = 144 / 9

μ = 16

Then the standard deviation of the data set will be

$\rm \sigma = \sqrt{\dfrac{\Sigma (x_i - \mu)^2}{n}} \\\sigma = \sqrt{\dfrac{(16 - 16)^2 +(22 - 16)^2 + (8-16)^2 + ......+(24-16)^2 }{9}} \\\sigma = \sqrt{\dfrac{310}{9}}\\$

Simplify the expression further, then we have

σ = √34.44

σ = 5.87

The mean and standard deviation for the set of data will be 16 and 5.87.

Then the correct option is A.

More about the standard deviation link is given below.

brainly.com/question/12402189

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3 0

1 year ago

X+2y=8 x-2y=-4 solve by system of equations

Vsevolod [243]

Answer:

Step-by-step explanation:

x + 2y = 8 -----------(I)

x - 2y = -4 -----------(II)

Add equation (I) & (II) and thus y will be eliminated and we can get the value of 'x'

(I) x + 2y = 8

(II) <u>x - 2y = -4</u><u> </u>{Now add}

2x = 4

x = 4/2

x = 2

Substitute x = 2 in equation (I)

2 + 2y = 8

2y = 8 - 2

2y = 6

y = 6/2

y = 3

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2 years ago

When Gabby went food shopping, she spent $14.90 on 5 bags of marshmallows to make Rice Krispie treats. She has to go to the stor

dusya [7]

the answer is $20.70

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3 years ago

An increased the quantities of all the ingredients in a recipe by 60, percent. She used 80 grams left parenthesis, right parenth

iogann1982 [59]

Answer:

The recipe did require 50 grams of cheese.

Step-by-step explanation:

Since, 60 percent extra cheese is used, therefore the given amount of cheese is 160% of recipe requirement. Or in other words, the given amount of cheese is 1.6 times the requirement.

80 grams = (1.6)(Recipe Requirement)

Recipe Requirement = 80/1.6 grams

<u>Recipe Requirement = 50 grams</u>

8 0

3 years ago