All categories

2 years ago

What is the solution of the system? Use substitution. x - y = -6 6x - 3y = -9

Mathematics

1 answer:

elena-14-01-66 [18.8K]2 years ago

3 0

Answer:1.5,-1.5

Step-by-step explanation:

I just answered it

You might be interested in

Someone help me please.

sattari [20]

The correct answer is C

4 0

3 years ago

Read 2 more answers

Consider a normal distribution curve where the middle 85 % of the area under the curve lies above the interval ( 8 , 14 ). Use t

NeTakaya

Answer:

$\mu = 11$

$\sigma = 2.08$

Step-by-step explanation:

Problems of normally distributed samples are 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.

Middle 85%.

Values of X when Z has a pvalue of 0.5 - 0.85/2 = 0.075 to 0.5 + 0.85/2 = 0.925

Above the interval (8,14)

This means that when Z has a pvalue of 0.075, X = 8. So when $Z = -1.44, X = 8$ . So

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

$-1.44 = \frac{8 - \mu}{\sigma}$

$8 - \mu = -1.44\sigma$

$\mu = 8 + 1.44\sigma$

Also, when X = 14, Z has a pvalue of 0.925, so when $X = 8, Z = 1.44$

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

$1.44 = \frac{14 - \mu}{\sigma}$

$14 - \mu = 1.44\sigma$

$1.44\sigma = 14 - \mu$

Replacing in the first equation

$\mu = 8 + 1.44\sigma$

$\mu = 8 + 14 - \mu$

$2\mu = 22$

$\mu = \frac{22}{2}$

$\mu = 11$

Standard deviation:

$1.44\sigma = 14 - \mu$

$1.44\sigma = 14 - 11$

$\sigma = \frac{3}{1.44}$

$\sigma = 2.08$

7 0

2 years ago

What is the solution to 9e-7=7e-11<br> need it now

oee [108]

The answer is e = -2

I hope this helped! If so, please mark brainliest!

Step by step solution :

Step 1 :

Pulling out like terms :

1.1 Pull out like factors :

2e + 4 = 2 • (e + 2)

Equation at the end of step 1 :

Step 2 :

Equations which are never true :

2.1 Solve : 2 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

2.2 Solve : e+2 = 0

Subtract 2 from both sides of the equation :

e = -2

8 0

3 years ago

Read 2 more answers

a twelve sided die with side labeled 1-12 will be rolled once. What is the probability of rolling a number less than 9?

puteri [66]

12 possible outcomes
any number less than 9 is 8 and below
8 sides of the dice are less than 9 out of 12 total sides
8/12 is the chance you’ll roll lower than 9

2/3 or 66% chance you’ll roll a number lower than 9

7 0

1 year ago

51/68 in simplest form

yanalaym [24]

Answer:3/4

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers