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
il63 [147K]
3 years ago
9

What is the equation of the line in slope-intercept form?

Mathematics
2 answers:
Karo-lina-s [1.5K]3 years ago
7 0
Y=mx + b . "You may already be familiar with the "y=mx +b" form (called the slope-intercept form of the equation of a line). It is the same equation, in a different form! The "b" value (called the y-intercept) is where the line crosses the y-axis."
stepladder [879]3 years ago
6 0
Slope intercept form is y=mx+b where m is the slope and b is the y part of an intercept where x is 0. So the equation for slope (y1-y2)/(x1-x2) with y1 and y2 the y values of 2 points and x1 and x2 those points' x values, so if you would use the points (-2,0) and (0,5) (I used intercepts because they are easier, but you can use any points on the line) you would get (0-5)/(-2-0) and then 5/2 for the slope. plugging in then you get y=5/2*x+5
You might be interested in
16 2/3 percent of what number is 72
MArishka [77]
The answer is about 432.178
6 0
3 years ago
A statistician calculates that 8% of Americans own a Rolls Royce. If the statistician is right, what is the probability that the
hichkok12 [17]

Answer:

0.007 = 0.7% probability that the proportion of Rolls Royce owners in a sample of 595 Americans would differ from the population proportion by more than 3%

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

A statistician calculates that 8% of Americans own a Rolls Royce.

This means that p = 0.08

Sample of 595:

This means that n = 595

Mean and standard deviation:

\mu = p = 0.08

s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.08*0.92}{595}} = 0.0111

What is the probability that the proportion of Rolls Royce owners in a sample of 595 Americans would differ from the population proportion by more than 3%?

Proportion above 8% + 3% = 11% or below 8% - 3% = 5%. Since the normal distribution is symmetric, these probabilities are equal, and so we find one of them and multiply by 2.

Probability the proportion is less than 5%:

P-value of Z when X = 0.05. So

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

By the Central Limit Theorem

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

Z = \frac{0.05 - 0.08}{0.0111}

Z = -2.7

Z = -2.7 has a p-value of 0.0035

2*0.0035 = 0.0070

0.007 = 0.7% probability that the proportion of Rolls Royce owners in a sample of 595 Americans would differ from the population proportion by more than 3%

8 0
3 years ago
Help me pleaseeee !!!
galina1969 [7]

Answer:

you save $5, i can't send a diagram to help though.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the sum of 5/12 and 1/3. Write the answer in simplest form
beks73 [17]

Answer:

Step-by-step explanation:\frac{5}{12}

8 0
3 years ago
Please help it’s finding sin C , cos C and tan C
Aloiza [94]

The given triangle has a right angle.

We use the mnemonics SOH-CAH-TOA.

1i) \sin C =\frac{Opposite}{Hypotenuse},\implies \sin C =\frac{30}{34},\implies \sin C =\frac{15}{17}

ii) \cos C =\frac{Adjacent}{Hypotenuse},\implies \cos C =\frac{16}{34},\implies \cos C =\frac{8}{17}

\tan C =\frac{Opposite}{Adjacent},\implies \tan C =\frac{30}{16},\implies \tan C =\frac{15}{8}

2. We want to find the hypotenuse.

We know an angle to be 23 degrees.

We were also given the side opposite to this angle to be 1200km.

Therefore we use the sine ratio.

6 0
3 years ago
Read 2 more answers
Other questions:
  • sofia can paint a house in 10 hours juana can paint the same in 9 hours how long would it take them if they worked together
    14·1 answer
  • Find the arc length of a central angle of pi/4 in a circle whose radius is 8 inches
    8·2 answers
  • Im stuck on my homework plz help
    6·2 answers
  • How can you check the correctness of a division answer that has no remainder
    10·1 answer
  • 4a to 3rd power b to 4power times b to 3rd power times 2b to 3rd power divided by 4b
    5·1 answer
  • Wes is pouring some ketchup for his potato wedges. Is it reasonable to say that Wes will use 2 fluid ounces?
    12·2 answers
  • A school band found they could arrange themselves in rows of 6, 7, or 8 with no one left over. What is the minimum number of stu
    6·1 answer
  • If the amount of waking time 4 year old children spend alone with their fathers each day is 42 minutes while the daily waking ti
    11·1 answer
  • Can someone PLEASE help with this one question!?
    14·2 answers
  • Please help! I’ll give brainliest!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!