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1 year ago

Decompose a fraction equal to one whole

1 answer:

5 0

To decompose a fraction to one whole, there are different methods to use. The fraction can be decomposed either by division, multiplication(if there are more than one fraction), or addition(if there are more than one fractions).

Example:

Given 8/2, decompose by division:

To do this, divide the numerator by denominator

$\frac{8}{2}=4$

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In a recent year the fuel economy of all passenger vehicles was 19.8 mpg. A trade organization sampled 50 passenger vehicles for

salantis [7]

Answers and Step-by-step explanation:

Hypotheses are:

H o=19.8

H 1 ≠19.8

Here we have following information:

s=2.45, X bar=20.1, n=50

So test statistics will be

t=20.1-19.8/(2.45/ $\sqrt{50}$ =0.87

Degree of freedom : d f = n - 1 = 50 - 1 =49

Test is two tailed so critical value of the test is -1.30 and 1.30.

Rejection region:

if t < -1.30 and t > 1.30, reject H o

Since test statistics lie in the rejection region so we fail to reject the null hypothesis.

(b)

The observed significance of the test is

P value =0.3885

(c)

Since p value is greater than 0.20 so we fail to reject the null hypothesis.

5 0

3 years ago

Calculate the total surface area of a cuboid with the following dimensions. 4m by 6m by 8m

bonufazy [111]

Answer:

V = 192 m^3

Step-by-step explanation:

The volume of a cuboid is given by

V = l*w*h

V = 4m * 6m *8m

V = 192 m^3

6 0

2 years ago

The scale on a map reads 3⁄4 inches = 60 miles. If two cities are 2 1⁄2 inches apart on the map, find the actual distance betwee

const2013 [10]

200 miles. 2.5 divided by 3/4 is 3.33333-, multiplying the given by 60 would give us 199.98, which you can round to 200.

8 0

3 years ago

Help please!!

bazaltina [42]

Answer: Part A = (100% - 80%)P = 35, Part B = 140

Step-by-step explanation:

Percentage: Like + Don't like = 100%

80% + Don't like = 100%

-80% -80%

Don't like = 20%

People: 20% of Patrons = Don't Like

0.20 x Patrons = 35

÷ 0.20 ÷ 0.20

Patrons = 175

Now, let's write the equation we used to get that answer:

Let P represent the total number of patrons, then the equation is:

(100% - 80%)P = 35

= (1.00 - 0.80)P = 35

= 0.20P = 35

= P = 175

Part B:

80% of Patrons = Like

0.80 x 175 = Like

140 = Like

6 0

3 years ago

What is the equation of the line that is perpendicular to the

kotegsom [21]

Answer:

y=x-6

Step-by-step explanation:

The x-intercept is found replacing y = 0, as follows:

Function: y = -3x + 8

x-intercept:

0 = -3x + 8

3x = 8

x = 8/3

Function: y = -3x + 6

x-intercept:

0 = -3x + 6

3x = 6

x = 6/3 = 2

Function: y = -x - 8

x-intercept:

0 = -x - 8

x = -8

Function: y = x - 6

x-intercept:

0 = x - 6

x = 6

The last option is the only one in which x-intercept is x = 6.

7 0

3 years ago