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3 years ago

Can be used to compare changes from one period to another.

Mathematics

1 answer:

vlada-n [284]3 years ago

8 0

Answer:

c) Percentages

Step-by-step explanation:

Percentages can be used to compare changes from one period to another.

In calculating a percentage change, either a percentage increase or percentage decrease, we must have both the new and old measurement of the specific quantity.

For example, let's find percentage increase of the number of students that joined a book club using the parameters below;

Original number of students = 32

New number of students = 36

We will calculate the increase using;

$Increase = original \; number - new \; number$

Substituting the values, we have;

Increase = 36 - 32 = 4

$Percentage \; increase = \frac{increase}{original \; number} * 100$

$Percentage \; increase = \frac{4}{32} * 100$

$Percentage \; increase = 0.125 * 100$

Percentage increase = 12.5%

Therefore, the number of students in the school club increased by 12.5%.

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PLSSS HELP ME WITH MATH

labwork [276]

Step-by-step explanation:

always remember, equations and inequalities are like a scale with 2 pans (left and right).

a variable is like a placeholder, an empty spot on the pans. and the expressions on both sides are kind of the conditions for the things to put in these empty spots so that the status of the scale stays unchanged.

for an equation the scale has to stay balanced all the time.

and in an inequality one side is heavier that the other (it normally does not matter how much heavier) with "<" or ">" signs, or the scale can be also balanced with "<=" or ">=" signs. just the other side must never be heavier.

so, in our case here

2x - 5 = 3

yes, the solution (the ONLY solution, actually) is x = 4. no other value of x allows the scale to be balanced.

2x - 5 >= 3

well, since it is a ">=" sign, we can be lazy and treat it like the equation above, and x = 4 is therefore a valid solution for the inequality too.

but so is every other value of x that makes the left side "heavier". what about e.g. 5 ?

2×5 - 5 >= 3

10 - 5 >= 3

5 >= 3

true, great ! so, e.g. x = 5 is also a valid solution.

what else ?

let's simplify the inequality

2x - 5 >= 3

2x >= 8

x >= 4

so, really every value of x that is greater or equal to 4 is a valid solution for the inequality.

-2x - 5 = 3

yes, the solution (the ONLY solution, actually) is x = -4. no other value of x allows the scale to be balanced.

-2x - 5 >= 3

well, since it is a ">=" sign, we can be lazy and treat it like the equation above, and x = -4 is therefore a valid solution for the inequality too.

but so is every other value of x that makes the left side "heavier". what about e.g. -5 ?

-2×-5 - 5 >= 3

remember, -×- = +

10 - 5 >= 3

5 >= 3

true, great ! so, e.g. x = -5 is also a valid solution.

what else ?

let's simplify the inequality

-2x - 5 >= 3

-2x >= 8

x <= -4

a multiplication or division by a negative value flips the inequality sign, because such an operation makes a light weight heavy and a heavy weight light.

so, really every value of x that is less or equal to -4 is a valid solution for the inequality.

3 0

2 years ago

The average systolic blood pressure was found to be 140 mm for people who have high responsibility jobs, specifically investment

9966 [12]

Answer:

Option B)

$H_{0}: \mu = 140\text{ mm}\\H_A: \mu < 140\text{ mm}$

Step-by-step explanation:

We are given the following in the question:

Hypothesis:

The doctors and u=instructor claims that practicing yoga reduces blood pressure and hence is beneficial to people.

Population mean, μ = 140 mm

Sample mean, $\bar{x}$ = 139 mm

Sample size, n = 51

Sample standard deviation, s = 5 mm

Thus, we can design the null hypothesis and alternate hypothesis as

$H_{0}: \mu = 140\text{ mm}\\H_A: \mu < 140\text{ mm}$

The null hypothesis states that the population have a blood pressure of 140 mm. The alternate hypothesis states that yoga reduces the blood pressure and the sample has a blood pressure less than 140 mm.

Thus, the correct answer is

Option B)

$H_{0}: \mu = 140\text{ mm}\\H_A: \mu < 140\text{ mm}$

3 0

2 years ago

Finding domain f(x)=3x+1/x-5

arlik [135]

The function is undefinded if the denominator, x-5, equals 0.
So $x-5 \neq 0 \\ 
x \neq 5$ .
The domain is $x \neq 5$ .
In interval notation, this is (-infinity, 5) u (5, infinity).

4 0

3 years ago

Y=(x+4)^3 what transformation will the following equation have from its parents ?

Contact [7]

Parent function: y =x3 ; shift
4 units to the left

4 0

2 years ago

Use each of the numbers 2, 3, 4, and 6 once to make each equation correct.

N76 [4]

Answer:

(3-4)+2*6=11

Step-by-step explanation:

3-4=-1,

2*6=12

-1+12=11

5 0

3 years ago

Read 2 more answers