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1 year ago

Which of the following represents 2x - 5y + 15 = 0 written in slope-intercept form? y = -x + 3 y = x - 3 y = x + 3

2 answers:

5 0

-5y = -2x - 15
5y = 2x + 15
y = (2/5)x + (15/5)
y = (2/5)x + 3

I would think that y = (2/5)x + 3 is the answer. However, that doesn't appear to be a choice...

Llana [10]1 year ago

4 0

Y=2/5x+3 is the answer
Hope it helped!

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HELP! 50 POINTS!

Alexxandr [17]

(4, -1) ---> x = 4 and y = -1

If you look at the graph you can se this

Mark points (0, 2) and (8, -4) in the coordinate plane

Plot the line going through both of these points.

Read the coordinates of the intersection of the line so you can see the solution!

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1 year ago

An observer from the top of a lighthouse 370 feet above sea level sees two sailboats in the water. The angles of depression to t

noname [10]

Answer:the sailboats are 358 feet apart.

Step-by-step explanation:

The diagram of the triangle representing the situation is shown in the attached photo.

B represents the position of the lighthouse.

D represents the position of the first sailboat.

C represents the position of the second sailboat.

x represents the distance between the two sailboats

We would apply trigonometric ratio

Tan # = opposite/adjacent

For triangle ABD,

Tan 12 = 370/AD

AD = 370/Tan 12 = 370/0.2126 = 1740.357 feet

For triangle ABC,

Tan 10 = 370/AC

AD = 370/Tan 10 = 370/0.1763 = 2098.695 feet

x = AC - AD = 2098.695 - 1740.357 = 358 feet

5 0

2 years ago

A survey conducted five years ago by the health center at a university showed that 18% of the students smoked at the time. This

podryga [215]

Answer:

test statistic (Z) is 2.5767 and p-value of the test is .009975

Step-by-step explanation:

$H_{0}$ : percentage of students who smoke did not change

$H_{a}$ : percentage of students who smoke has changed

z-statistic for the sample proportion can be calculated as follows:

z= $\frac{p(s)-p}{\sqrt{\frac{p*(1-p)}{N} } }$ where

p(s) is the sample proportion of smoking students ( $\frac{50}{200}$ =0.25)

p is the proportion of smoking students in the survey conducted five years ago (18% or 0.18)
N is the sample size (200)

Then, z= $\frac{0.25-0.18}{\sqrt{\frac{0.18*0.82}{200} } }$ ≈ 2.5767

What is being surveyed is if the percentage of students who smoke has changed over the last five years, therefore we need to seek two tailed p-value, which is .009975.

This p value is significant at 99% confidence level. Since .009975 <α/2=0.005, there is significant evidence that the percentage of students who smoke has changed over the last five years

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1 year ago

A recent study reported that 22% of adults in France admitted to texting or e-mailing while driving. A random sample of 110 Fren

laila [671]

Answer:

Step-by-step explanation:

ported that 22% of adults in France admitted to texting or e-mailing while driving. A random sample of 110 French adults was randomly selected. What is the probability that 26

Using a binomial distribution with mean = n*p = 110*0.22 = 24.2 and variance = n*p*(1-p) = 24.2*(1-0.22) = 18.876

Approximating it to a normal distribution,

$P(x\geq 26)\\\\=P(Z\geq \frac{26-24.2}{\sqrt{18.876} } )\\\\=P(Z\geq 0.41)\\\\=0.3481$

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1 year ago

A problem states: "There are 2 more horses than cows in a field. There are 16 animals in the field in all. How many horses are t

Murljashka [212]

Answer: 2c + 2 = 16

Step-by-step explanation:

One group has 2 more than the other.

That means in total, they are the same but + 2.

Only 2c + 2 = 16 represents this.

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1 year ago