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3 years ago

What is the answer to this equation? x - 0.4x

1 answer:

3 0

X-0.4x if the term doesn't have a coefficient, it is considered that the coefficient is 1

1x-0.4x Collect the light terms by subtracting their coefficients

(1x-0.4)x Subtract the numbers

0.6x is the answer

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Please help!

Ne4ueva [31]

A. The v-intercept in the year 2010 is less than the y-intercept in the year 2015

6 0

3 years ago

Which equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4)? Select t

Kruka [31]

Answer:

y+4=-(2/5)(x-5) ----> equation of the line into point slope form

y=-(2/5)x-2 ----> equation of the line into slope intercept form

2x+5y=-10 ----> equation of the line in standard form

Step-by-step explanation:

step 1

Find the slope of the given line

we have

5x-2y=-6

isolate the variable y

2y=5x+6

y=2.5x+3

The slope m of the given line is m=2.5

step 2

Find the slope of the line perpendicular to the given line

We know that

If two lines are perpendicular, then their slopes are inverse reciprocal each other

m1=5/2

the inverse reciprocal is

m2=-2/5

step 3

Find the equation of the line into point slope form

y-y1=m(x-x1)

we have

m=-2/5

point (5,-4)

substitute

y+4=-(2/5)(x-5) ----> equation of the line into point slope form

y=-(2/5)x+2-4

y=-(2/5)x-2 ----> equation of the line into slope intercept form

Multiply by 5 both sides

5y=-2x-10

2x+5y=-10 ----> equation of the line in standard form

4 0

3 years ago

Read 2 more answers

a standard sheet of white lined paper measures 8.5 inches by 10 inches to the nearest tenth of an inch , what is the length of t

alexgriva [62]

Im pretty sure its 37 because

8.5 x 2 = 17 10 x 2 = 20
then add
17 + 20 = 37 :)) hope this helps

(you multiply by 2 because on a sheet a paper there 4 sides on the paper and two for each number)

37 is your awnser :))

7 0

3 years ago

Read 2 more answers

The measure of the angles of a triangle are in the extended ratio of 3 : 7 : 10. Find the measures of the angles.

olga2289 [7]

Answer:

A. 27 degrees, 63 degrees, 90 degrees.

Step-by-step explanation:

Let the angle of the triangle be x

Given the following data;

3 : 7 : 10 = 3x : 7x : 10x

We know that the sum of the sides of a triangle is equal to 180 degrees.

3x + 7x + 10x = 180

20x = 180

x = 180/20

x = 9

For the first side;

3x = 3 × 9 = 27°

For the second side;

7x = 7 × 9 = 63°

For the third side;

10x = 10 × 9 = 90°

Therefore, the ratio of the angles of the triangle is 27° : 63° : 90°.

7 0

3 years ago

Read 2 more answers

In a study, 42% of adults questioned reported that their health was excellent. A researcher wishes to study the health of people

kobusy [5.1K]

Answer:

The probability that when 11 adults are randomly selected, 3 or fewer are in excellent health is 0.6483.

Step-by-step explanation:

The random variable X can be defined as the number of adults questioned reported that their health was excellent.

A random sample of n = 11 adults are selected randomly selected from an area a nuclear power plant.

Of these 11 adults X = 3 reported that their health was excellent.

The proportion of adults who reported that their health was excellent is:

$p=\frac{X}{n}=\frac{3}{11}$

An adult's health condition is not affected by others, i.e. they are independent.

The random variable X follows a Binomial distribution with parameters n = 11 and p = $\frac{3}{11}$ .

The probability mass function of X is:

$P(X=x)={11\choose x}(\frac{3}{11})^{x}(1-\frac{3}{11})^{11-x};\ x=0,1,2,3...$

Compute the probability that when 11 adults are randomly selected, 3 or fewer are in excellent health as follows:

P (X ≤ 3) = P (X = 0) + P (X = 1) + P (X = 2) + P (X = 3)

$=\sum\limits^{3}_{x=0}{{11\choose x}(\frac{3}{11})^{x}(1-\frac{3}{11})^{11-x}}\\=0.02998+0.12385+0.23254+0.26197\\=0.64834\\\approx 0.6483$

Thus, the probability that when 11 adults are randomly selected, 3 or fewer are in excellent health is 0.6483.

5 0

3 years ago