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3 years ago

Which of the following is the best solution to | x + 11 | < 17?

Mathematics

2 answers:

worty [1.4K]3 years ago

7 0

Answer:

Where are the choices?

Step-by-step explanation:

It says which of the following so I don't think anyone can determine this without looking at the choices. For all we know, someone could give you an answer that isn't in the multiple choice answers.

muminat3 years ago

5 0

Hey there!

| x + 11| < 17

Solving for your ABSOLUTE VALUE

x + 11 < 17 ; x + 11 > -17

Solving solution #1

x + 11 < 17

SUBTRACT by 11 on your sides

x + 11 - 11 < 17 - 11

Cancel out: 11 - 11 because it gives you 0

Keep: 17 - 11 because it helps us compare with x

17 - 11 = 6

Answer #1: x < 6

Solving solution #2

x + 11 > -17

SUBTRACT by 11 on your sides

x + 11 - 11 > -17 - 11

Cancel out: 11 - 11 because it gives you the value of 0

Keep: -17 - 11 because it helps us compare with x

-17 - 11 = -28

Answer #2: x > -28

Overall answer: x < 6 and x > -28

Its an OPEN circle shaded to the left

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

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What does x equal in -0.4 (x+3)=4

Novosadov [1.4K]

Answer:

x=-13

Step-by-step explanation:

1. Divide both sides by -0.4

2. Subtract -3 on both sides.

3. -10-3=-13

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4 years ago

PLZ HELP 50 POINTS AND BRAINLIEST!!!!!!!! Karen has a large pile of colored rods. Each color is a different length. She is tryin

lukranit [14]

Answer:

9 possible combinations: RGB, RYG, RGB, OYG, OGB, OBP, YGB, YBP, GBP

Step-by-step explanation:

We need to consider The Triangle Inequality Theorem which states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

Let's see what are the possible combinations:

3+4= 7 so possible 3rd side is 5

3, 4, 5 or ROY

3+5= 8 so possible 3 rd side is 7

3, 5, 7 or RYG

3+7= 10 so possible 3rd side is 5 or 9 (5 is repeat of the one above)

3, 7, 9 or RGB

3+9= 12 so possible 3rd side is 7, see one above

3+12= 15 so possible 3 rd side is none

4+5=9 so possible 3rd side is 7

4, 5, 7 or OYG

4+7= 11 so possible 3rd side is 9

4, 7, 9 or OGB

4+9= 13 so possible 3rd side is 12

4, 9, 12 or OBP

5+7= 12 so possible 3rd side is 9

5, 7, 9 or YGB

5+9= 14 so possible 3rd side is 12

5, 9, 12 or YBP

7+9= 16 so possible 3rd side is 12

7, 9, 12 or GBP

So the possible 9 combinations are:

RGB, RYG, RGB, OYG, OGB, OBP, YGB, YBP, GBP

6 0

3 years ago

A bag contains 31 red blocks, 47 green blocks, 23 yellow blocks, and 24 purple blocks. You pick one block from the bag at ran

svp [43]

Answer:

0.07072

Step-by-step explanation:

Red Blocks= 31

Green Blocks= 47

Yellow blocks = 23

Purple blocks= 24

Total= 31+47+23+24= 125

P(Yellow) = 23/125

P(Purple)=24/125

NOTE: AND (X), OR (+)

P(yellow yellow or purple purple)

= P(Y and Y) + P(P and P)

=(23/125 X 23/125) + (24/125 X 24/125)

=529/15625 + 576/15625

=1105/15625

=221/3125

=0.07072

Therefore:

Probability of Picking Yellow Yellow or Purple Purple is 0.07072.

4 0

3 years ago

) How many degrees of freedom are available for hypothesis tests and confidence intervals for single regression coefficient

sladkih [1.3K]

Answer:

We use students' t distribution therefore degrees of freedom is v= n-2

Step-by-step explanation:

Confidence Interval Estimate of Population Regression Co efficient β.

To construct the confidence interval for β, the population regression co efficient , we use b, the sample estimate of β. The sampling distribution of b is normally distributed with mean β and a standard deviation σ.y.x / √(x-x`)². That is the variable z = b - β/σ.y.x / √(x-x`)² is a standard normal variable. But σ.y.x is not known so we use S.y.x and also student's t distribution rather than normal distribution.

t= b - β/S.y.x / √(x-x`)² = b - β/Sb [Sb = S.y.x / √(x-x`)²]

with v= n-2 degrees of freedom.

Consequently

P [ - t α/2< b - β/Sb < t α/2] = 1- α

P [ b- t α/2 Sb< β < b+ t α/2 Sb] = 1- α

Hence a 100( 1-α) percent confidence for β the population regression coefficient for a particular sample size n <30 is given by

b± t α/2 Sb

Using the same statistic a confidence interval for α can be constructed in the same way for β replacing a with b and Sa with Sb.

a± t α/2 Sa

Using the t statistic we may construct the confidence interval for U.y.x for the given value X0 in the same manner

Y~0 ± t α/2(n-2) SY~

Y~0= a+b X0

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3 years ago

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Elena L [17]

Answer:

complementary

Step-by-step explanation

Im not positive but theres a high chance its B

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2 years ago