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3 years ago

Write an inequality for each situation.

Mathematics

2 answers:

katovenus [111]3 years ago

7 0

It is less than or equal to 45

AlekseyPX3 years ago

5 0

S> less than or equal to 45

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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

#SPJ1

3 0

1 year ago

If s(x) = x - 7 and t(x) = 4x2 – x + 3, which expression is equivalent to<br> to (t•s )(x)?

serg [7]

Answer:

(t•s )(x) = 4x^3 - 29x^2 + 10x - 21

Step-by-step explanation:

(t•s )(x) is the product of functions s and t:

(t•s )(x) = ( 4x^2 - x + 3)(x - 7). Applying the Distributive Property of Multiplication, we get:

(t•s )(x) = 4x^3 - 28x^2 - x^2 + 7x + 3x - 21

which needs to be simplified by combining like terms:

(t•s )(x) = 4x^3 - 29x^2 + 10x - 21

7 0

3 years ago

Garret has a bag that contains cubic 2 7/16 feet of mulch. If he uses 8/9 of the bag in his garden how much mulch is left in the

Dimas [21]

Answer:

0.27 cubic feet of mulch is remaining

Step-by-step explanation:

Quantity in the bag = 2 7/16 cubic feet of mulch

Quantity used = 8/9 of the bag in his garden

Mulch used = 8/9 of 2 7/16

= 8/9 × 39/16

= 1/9 × 39/2

= 39/18

= 2 3/8 used

Total mulch left = Total mulch in the bag - mulch used

= 2 7/16 - 2 3/8

= 39/16 - 39/18

= 702-624/288

= 78/288

= 0.27 cubic feet of mulch is remaining

3 0

3 years ago

The bisector of an obtuse angle forms:acute anglesright anglesobtuse anglesstraight angles

Lerok [7]

It forms an acute angle.

The obtuse angle is greater than 90 degrees but less than180 degrees. So if a bisector is introduced, the resulting angle is acute. An acute is less than 90 degrees.

7 0

3 years ago

Parallel slope of 2/5

KIM [24]

Answer:

2/5

Step-by-step explanation:

parallel slop of 2/5 is 2/5. (same slope)

7 0

4 years ago