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3 years ago

What single decimal multiplier would you use to increase by 4% followed by a 4% decrease?

Mathematics

1 answer:

Triss [41]3 years ago

5 0

Answer:

if you increase by 4%, it means you will have a new total of 104%. In decimals it is 1.04 (divide your percentage by 100) after that you do the same with the 3% increase. you'll have a new total of 103%. In decimals 1.03. If you want to know what single multiplier you can use, you need to multiply the both decimals. So you get 1.04 x 1.03 = 1.0712

Step-by-step explanation:

You might be interested in

Factor out the GCF: 16x + 48

valentinak56 [21]

Answer: 16(x + 3)

Step-by-step explanation: When you're asked to a polynomial, the first thing you want to look for is the greatest common factor between the terms that are involved.

So what is the greatest common factor of 16x and 48?

The greatest common factor of 16x and 48 is 16 because

it's the largest number that divides evenly into 16 and 48.

The x does not qualify because it must appear in every term

to qualify for the GCF but here, it only appears in one term.

So a 16 factors out leaving us with each term divided by it

inside a set of parentheses so w eget 16(x + 3).

Notice that if we distributed the 16 through both terms,

we would end up with our original polynomial.

7 0

3 years ago

Use the given information to find the P-value. Also, use a 0.05 significance level and state the conclusion about the null hypot

Nina [5.8K]

Answer: a. 0.1031; fail to reject the null hypothesis

Step-by-step explanation:

Given: Significance level : $\alpha=0.05$

The test statistic in a two-tailed test is z = -1.63.

The P-value for two-tailed test : $2P(Z>|z|)=2P(Z>|-1.63|)=0.1031$ [By p-value table]

Since, 0.1031 > 0.05

i.e. p-value > $\alpha$

So, we fail to reject the null hypothesis. [When p< $\alpha$ then we reject null hypothesis ]

So, the correct option is a. 0.1031; fail to reject the null hypothesis.

8 0

3 years ago

Which expression represents the ratio of the difference of the two means to Sidney's mean absolute deviation

prohojiy [21]

Answer:

The ratio of the difference of the two means to Sidney's mean absolute deviation = $\frac{4}{3.28}$ = 1.2195

Step-by-step explanation:

P.S - The exact question is -

Given - The means and mean absolute deviations of Sidney’s and Phil’s grades are shown in the table below.

Sidney’s Grades Phil’s Grades

Mean 82 78

Mean Absolute Deviation 3.28 3.96

To find - Which expression represents the ratio of the difference of the two means to Sidney’s mean absolute deviation?

Proof -

Given that Mean of Sidney Grades = 82

Mean of Phil's Grades = 78

So,

The difference of two means = 82 - 78 = 4

Also,

Given, Mean Absolute Deviation of Sydney = 3.28

Now,

The ratio of the difference of the two means to Sidney's mean absolute deviation = $\frac{4}{3.28}$ = 1.2195

4 0

3 years ago

Find the center and radius of the circle (x+3)^2+(y-1)^2=81

sasho [114]

The equation of a circle is written as ( x-h)^2 + (y-k)^2 = r^2

h and k is the center point of the circle and r is the radius.

In the given equation (x+3)^2 + (y-1)^2 = 81

h = -3

k = 1

r^2 = 81

Take the square root of both sides:

r = 9

The center is (-3,1) and the radius is 9

5 0

3 years ago

For the function f(x) and g(x) given in the graph. Find f(g(2))

Katen [24]

Answer:

f(g(2)) = 4

Step-by-step explanation:

find g(2) then substitute the value obtained into f(x)

locate x = 2 on the x- axis, go vertically up to meet g(x) at (2, 5 )

locate x = 5 on the x- axis, go vertically up to meet f(x) at (5, 4 )

then f(g(2)) = 4

3 0

2 years ago