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
Harlamova29_29 [7]
2 years ago
9

(x + y , x - y) = (4 , 2)​

Mathematics
1 answer:
Naddika [18.5K]2 years ago
6 0

Step-by-step explanation:

(x + y , x - y) = (4 , 2)

x+y=4 ------(1)

x-y=2 ------(2)

_____ (adding two equation)

2x=6

x=3

From equation 1

3+y=4

y=1

You might be interested in
The mean annual cost of an automotive insurance policy is normally distributed with a mean of $1140 and standard deviation of $3
DerKrebs [107]

Using the normal distribution, it is found that the probabilities are given as follows:

a) 0.8871 = 88.71%.

b) 0.0778 = 7.78%.

c) 0.8485 = 84.85%.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

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

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
  • By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation s = \frac{\sigma}{\sqrt{n}}.

The parameters in this problem are given as follows:

\mu = 1140, \sigma = 310, n = 16, s = \frac{310}{\sqrt{16}} = 77.5

Item a:

The probability is the <u>p-value of Z when X = 1250 subtracted by the p-value of Z when X = 1000</u>, hence:

X = 1250:

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

By the Central Limit Theorem

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

Z = \frac{1250 - 1140}{77.5}

Z = 1.42

Z = 1.42 has a p-value of 0.9222.

X = 1000:

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

Z = \frac{1000 - 1140}{77.5}

Z = -1.81

Z = -1.81 has a p-value of 0.0351.

0.9222 - 0.0351 = 0.8871 = 88.71% probability.

Item b:

The probability is <u>one subtracted by the p-value of Z when X = 1250</u>, hence:

1 - 0.9222 = 0.0778 = 7.78%.

Item c:

The probability is the <u>p-value of Z when X = 1220</u>, hence:

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

Z = \frac{1220 - 1140}{77.5}

Z = 1.03

Z = 1.03 has a p-value of 0.8485.

0.8485 = 84.85% probability.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

3 0
2 years ago
How to solve this<br><img src="https://tex.z-dn.net/?f=540in%20%3D%20%20%5C%3A%20yd" id="TexFormula1" title="540in = \: yd" alt
Gnom [1K]

Answer:

15 yds

Step-by-step explanation:

12 in = 1ft

3 ft = 1yd

to convert

540 in * 1ft/12 in   * 1yd /3 ft = (540 * 1 * 1)/ (12*3) = 540/36 =15 yds

all the units canceled except for yds

5 0
2 years ago
Read 2 more answers
The ratios of boys to girls on a soccer league is 2:5. If there are 28 boys, how many girls are playing soccer? EXTRA POINTS! WI
Leviafan [203]
If it’s 2:5 then there should be 70 girls!
4 0
3 years ago
Read 2 more answers
Place the Parentheses to make the expression equal to the number behind the door.
prisoha [69]

Answer:

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
How do you turn 1/10 into a decimal
Neporo4naja [7]
1.10 is how u would turn it to a decimal. Plesae make me the Brainliest.
3 0
2 years ago
Other questions:
  • Please help!<br><br> Fill in the missing number.
    13·1 answer
  • What’s the domain and range
    13·1 answer
  • the length of side AB is twice the length of side AC. Write an expression for the perimeter of the triangle
    10·1 answer
  • "If you subtract18 from my number and multiply the difference by -4 ​, the result is ​-40." What is ​my number
    7·1 answer
  • 1) Graph by making a<br> table.<br> y=1/2x+2
    11·1 answer
  • MathsWatch
    9·1 answer
  • how much water must be added to a 6-liter solution that contains 7% extract of baneberry to get a solution that contains 5% extr
    6·1 answer
  • What transformation is shown below?
    13·1 answer
  • Which of the following is not a function?
    6·1 answer
  • Counterexamples and Logic Symbols HW
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!