1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
german
4 years ago
9

What are the x-intercept and the y-intercept of the graph of y=−3x−18 ? Enter your answers in the boxes.

Mathematics
2 answers:
NeX [460]4 years ago
5 0
Y-intercept:x=0
Y=-3(0)-18
Y=-18

X-intercept:y=0
0=-3x-18
3x÷3=-18÷3
x=-6
Svetlanka [38]4 years ago
3 0
X-intercept (where x=0) is at -18, the y-intercept (where y=0) is -6
You might be interested in
A boat traveling upstream goes 84 kilometers in 7 hours. If the return trip takes only 3 hours, what is the speed (in kilometers
Hunter-Best [27]
Speed = Distance ÷ time 

Speed upstream = 84 ÷ 7 = 12 km/h

Speed downstream = 84 ÷ 3 = 28 km/h

Speed in still water = 1/2(28 + 12) = 20 km/h

Answer: 20 km/h
8 0
3 years ago
The probability of flu symptoms for a person not receiving any treatment is 0.038. In a clinical trial of a common drug used to
alexgriva [62]

Answer:

36.32% probability that at least 47 people experience flu symptoms. This is not an unlikely event, so this suggests that flu symptoms are not an adverse reaction to the drug.

Step-by-step explanation:

I am going to use the normal approximation to the binomial to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 1164, p = 0.038

So

\mu = E(X) = np = 1164*0.038 = 44.232

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = 6.5231

Estimate the probability that at least 47 people experience flu symptoms.

Using continuity correction, this is P(X \geq 47 - 0.5) = P(X \geq 46.5), which is 1 subtracted by the pvalue of Z when X = 46.5.

Z = \frac{X - \mu}{\sigma}

Z = \frac{46.5 - 44.232}{6.5231}

Z = 0.35

Z = 0.35 has a 0.6368

1 - 0.6368 = 0.3632

36.32% probability that at least 47 people experience flu symptoms. This is not an unlikely event, so this suggests that flu symptoms are not an adverse reaction to the drug.

6 0
3 years ago
Consider the function y = -2-3cos (x+pi). What effect does the -2 have on the basic graph
Elenna [48]

ANSWER

-2 shift the graph of the basic function down by 2 units.

EXPLANATION

The given cosine function is:

y =  - 2 - 3 \cos(x + \pi)

This equation can be rewritten as:

y =  - 3 \cos(x + \pi)  +  - 2

We compare this to

y = a \cos(bx + c)  + d

The effect d has on the graph is that, it shifts the graph up by d units.

If d is negative the graph shifts down by d units.

Since d=-2, the graph will shift down by 2 units.

5 0
3 years ago
Rewrite 105,000 in scientific notation.
Damm [24]
Your answer is B) 1.05 x 10 5
6 0
3 years ago
The whole is greater than the part
Alik [6]

Answer:

most definitely

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • Solve for x <br> 1/2(6x-4)=3x-2
    8·1 answer
  • Answers are <br> A:4 square root 5<br> B:16<br> C:6<br> D:8 square root 5
    14·1 answer
  • Which describes the graph in words?
    12·1 answer
  • Here is the question
    10·2 answers
  • HELP MEEEE PLEASE ;C
    5·2 answers
  • Match each polynomial with its degree
    8·1 answer
  • Can ya help me with the answer please and thank you so much
    8·1 answer
  • 2/3x − 1/5x = x −1 equals what? I'm confused on this
    14·1 answer
  • Name 2 alternate exterior angles
    8·1 answer
  • put the following equation of a line into slope-intercept form, simplifying all fractions 16x - 4y = -20
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!