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
lana [24]
2 years ago
6

Find the equation of the straight line with the gradient -2/3 and passing through the point(1,1)

Mathematics
1 answer:
adell [148]2 years ago
4 0

Answer:

y = -2/3 x + 5/3

Step-by-step explanation:

y = mx + b

y = -2/3 x + b

1 = -2/3 × 1 + b

3/3 + 2/3 = b

b = 5/3

y = -2/3 x + 5/3

You might be interested in
If ZP and ZQ are complementary angles,
nikdorinn [45]
The answer for this question is A because x is equivalent to 4
8 0
2 years ago
Jumbo eggs in Australia, on average, are supposed to weigh 68g. Margot is in charge of a quality control test that involves weig
Andrej [43]

Answer:

0.9987 = 99.87% probability that the mean weight of 4 eggs in a package is less than 68.5g

Step-by-step explanation:

To solve this question, we use 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 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.

Central Limit Theorem

The Central Limit Theorem estabilishes 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.

Mean weight of 67g and a sample standard deviation of 1g.

This means that \mu = 67, \sigma = 1

Sample of 4

This means that n = 4, s = \frac{1}{\sqrt{4}} = 0.5

What is the probability that the mean weight of 4 eggs in a package is less than 68.5g?

This is the pvalue of Z when X = 68.5. So

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

By the Central Limit Theorem

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

Z = \frac{68.5 - 67}{0.5}

Z = 3

Z = 3 has a pvalue of 0.9987

0.9987 = 99.87% probability that the mean weight of 4 eggs in a package is less than 68.5g

6 0
3 years ago
Read 2 more answers
Why is -2.2 x (-3.7) = -8.14 wrong ?? I need a reason to see why it’s wrong
Lorico [155]

it is a positive integer because there are 2 negatives. when you are multiplying or dividing negatives, it always makes a positive

4 0
3 years ago
Read 2 more answers
&gt;…_~§-+*First Answer Gets Brainliest*+-§~_…&lt;<br> Questions In the picture!
zysi [14]

Answer:

1. If x=5, 3*5=15, 15*15=225 + y (3) = 228.

2. If y=4, then 10*4 = 40, 4^2 is 16, so 40 + 16 is 56.

I might be wrong, but the first one you answered, x^2, x= 1/2, I think that is wrong. when something is squared, you don't go, "Oh, well since 1/2 equals 1, that's the answer." The way to figure out something like this is... 1/2 times 1/2, which is .25, or 1/4. Another example: 3^5 . The way to find this out is 3*3*3*3*3 = 243. But  you don't go 3*5, because that answer would be 15, which is not correct.

7 0
3 years ago
Arlene is comparing the prices of two truck rental companies. Company A charges $7 per hour and an additional $30 as service cha
max2010maxim [7]
Part A:
Company A:  $7 per hour +$30 service charge =money spent
Company B:  $8 per hour +$40 service charge =money spent

Part B:
Company A:  $7(8)+$30 = $86
Company B:  $8(8)+$40 = $104

Part C:
Company A:  $7(2)+$30 = $44
Company B:  $8(2)+$40 = $56
      You would save $12 if you use Company A instead of Company B's truck rental.

7 0
3 years ago
Other questions:
  • 2x+3y=23<br> 3x-y=7<br> Solve for x
    11·1 answer
  • If a point is selected at random in the interior of a circle, find the probability that the point is closer to the center than t
    15·1 answer
  • What is f(x)=x3+2x2−5x−6 in factored form given that 2 is a zero of the function?
    10·2 answers
  • 2.80=9(70)/I. I need a answer for i
    6·1 answer
  • The regular price for a pair of shoes is $48. The store is having a buy one get one 1/2 off sale. If you buy 2 pairs of shoes fo
    5·2 answers
  • According to the University of Nevada Center for Logistics Management, of all merchandise sold in the United States gets returne
    9·1 answer
  • The product of 3 and a number is greater then 15
    14·2 answers
  • Whats the answer? ( BRANLIEST )
    9·2 answers
  • 4. A man who is 40 years old wants to begin exercising daily. Calculate his target heart
    9·1 answer
  • Find the height of each pyramid.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!