HELP PLZZZZZZ!!!!!<br>Explain <br> 56.8−17.9<br> and answer

What is the equation of a line that passes through the point (5, −4) and is parallel to the line whose equation is 2x + 5y = 10?

dybincka [34]

What you should do first is simplify the equation into the y = mx + b format. Move 2x to the other side. Know that in doing this, 2x must become the opposite of what it currently is (-2) in order for the equation to remain true. We also have to take away the '10' because the line is parallel, not exactly the same, which means a different y intercept. This looks like:

$5y = -2x + b$

Next, simplify y to make things easier. This can be done by dividing both sides by 5, like so:

$\frac{5}{5}y = -\frac{2}{5}x + b$

What you should also know is that if a line is parallel to another, then this means the slope has to be the same because they both have the same changes in rise and run. With this in mind, simply plug in the x and y values.

$(-4) = -\frac{2}{5} * (5) + b$

$--> -4 = \frac{10}{5} + b$

$---> -4 = -2 + b$

Add 2 to both sides to isolate b.

$-4 + 2 = b$

Which means that -2 = b.

Now that we have the y intercept, we can write the equation of the line, which is $y = -\frac{2}{5}x - 2$ .

Hope this was helpful.

3 0

3 years ago

Which best describes the incenter of a triangle?

zhannawk [14.2K]

The correct answer of the given question above about the incenter of a triangle is option B. The statement that best describes the incenter of a triangle is that, it is the point where the three angle bisectors of the triangle intersect. In geometry, an incenter of a triangle is described as the triangle center.

7 0

3 years ago

Read 2 more answers

Tomas has $1,000 to spend on a vacation. His

Jobisdone [24]

Answer:

He can spend $118.50 each day

Step-by-step explanation:

1000 - 348.25 = 651.75

651.75 / 5.5 = 118.5

4 0

3 years ago

Suppose the contact rate for a phone survey is 78% and that 22% of people will participate in that survey. Assume that agreeing

Gnoma [55]

Remember that, for independent events, the probability that both occurr is the product of the individual probabilities.

a) Probability of being contacted: 78% = 0.78

Probaility of refusing: 1 - 22% = 1 -0.22 = 0.78

Combined probability: 0.78*0.78 = 0.6084

b) The probability of failing to contact or making contact and not geeting them to agree 1 - the probability of contacting and getting them to agree.

The probabilityof contacting and getting them to agree is 0.78*0.22 = 0.1716

The the answer to this question is 1 - 0.1716 = 0.8284

8 0

3 years ago

A sample of salary offers (in thousands of dollars) given to management majors is: 48, 51, 46, 52, 47, 48, 47, 50, 51, and 59. U

balu736 [363]

Answer:

Step-by-step explanation:

number of samples, n = 10

Mean = (48 + 51 + 46 + 52 + 47 + 48 + 47 + 50 + 51 + 59)/10 = 49.9

Standard deviation = √(summation(x - mean)/n

Summation(x - mean) = (48 - 49.9)^2 + (51 - 49.9)^2 + (46 - 49.9)^2+ (52 - 49.9)^2 + (47 - 49.9)^2 + (48 - 49.9)^2 + (47 - 49.9)^2 + (50 - 49.9)^2 + (51 - 49.9)^2 + (59- 49.9)^2 = 128.9

Standard deviation = √128.9/10 = 3.59

Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

The sample mean, x is the point estimate for the population mean.

Margin of error = z × s/√n

Where

s = sample standard deviation

From the information given, the population standard deviation is unknown and the sample size is small, hence, we would use the t distribution to find the z score

In order to use the t distribution, we would determine the degree of freedom, df for the sample.

df = n - 1 = 10 - 1 = 9

Since confidence level = 95% = 0.95, α = 1 - CL = 1 – 0.95 = 0.05

α/2 = 0.05/2 = 0.025

the area to the right of z0.025 is 0.025 and the area to the left of z0.025 is 1 - 0.025 = 0.975

Looking at the t distribution table,

z = 2.262

Margin of error = 2.262 × 3.59/√10

= 2.57

the lower limit of this confidence interval is

49.9 - 2.57 = 47.33

the lower limit of this confidence interval is

49.9 + 2.57 = 52.47

So it is false

6 0

3 years ago

HELP PLZZZZZZ!!!!!Explain 56.8−17.9 and answer