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2 years ago

Solve the absolute value inequality. |2x - 3| > 7

Mathematics

1 answer:

s344n2d4d5 [400]2 years ago

6 0

Hi!

NOTE: When solving absolute value inequalities, > or ≥ means OR, and < and ≤ means AND.

|2x - 3| > 7

Since the absolute value is isolated, we can now solve.

First, remove absolute value signs, then solve for x.

2x - 3 > 7

2x > 10

x > 5

Now, we have to solve again, but this time we flip the inequality sign and switch positive 7 to a negative 7, like so:

2x - 3 < -7

2x < -4

x < -2

Now, as stated above, since it's a greater than symbol it means OR.

x > 5 OR x < -2

For more information on solving absolute value inequalities:

brainly.com/question/14473339

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As part of a promotion for a new type of cracker, free trial samples are offered to shoppers in a local supermarket. The probabi

Veronika [31]

Answer:

The probability that fewer than 30 buy a packet after tasting a free sample is approximately

B. 0.9938

Step-by-step explanation:

We have

p = 0.2

q = 1 - 0.2 = 0.8

n = 100

and we need to compute P(X<30). First we need to check if normal distribution can be used or not. If np>5 then we can use normal distribution to solve this problem.

np = 100*0.2 = 20 > 5.

So we can use the normal approximation to solve this problem.

μ = np = 20

σ = √(npq)

= √(100)(0.2)(0.8)

σ = 4

We know that z = (X - μ)/σ, So

P(X<30) = P[(X-μ)/σ < (30 - μ)/σ]

= P(z<(30-20)/4)

= P(z < 10/4)

= P (z<2.5)

Using the normal distribution probability table, we get:

P(z<2.5) = 0.9938

So, the correct option is B. 0.9938

6 0

3 years ago

I honestly have no clue how to do this

Mashcka [7]

Answer:

Angle 1: 95 degrees

Angle 2: 85 degrees

Angle 3: 95 degrees

Step-by-step explanation:

Vertical angles are opposite and equal so in this case angle 1 and 3 are vertical and so are 2 and 85°

So that means angle 2 also equals 85 degrees and because of supplementary angles the other angle must add up to equal 180 degrees

85 + ? = 180

?=95

So both angle 1 and 3 equal 95 degrees

8 0

3 years ago

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LUCKY_DIMON [66]

Answer:

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Step-by-step explanation:

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3 years ago

Noor wants to spend less than $20 on condiments. Each kilogram of salt costs $1.50, and each kilogram of pepper costs 2.50.

nata0808 [166]

Answer:

1.5s+2.5p<20

Step-by-step explanation:

Multiply by each kilo and then make sure it adds up to less than 20!

3 0

3 years ago

1. What is the measure of angle x? O 60° O 90° O 45° O 30°

True [87]

Answer:

Angle x= 60°

Step-by-step explanation:

For the triangle HIL, you're going to add 30+90=120

Angles in a triangle add up to 180.

So, therefore,

180-120=60 so angle L must equal 60.

HJ is a straight line and angles in a straight line add up to 180.

180-90=90

Angle JIL is equal to 90.

To find y you add 90+45 which equals 135.

Again, angles in a triangle add up to 180.

180-135=45

So,

y = 45

Now we are told that IJK is a right angle and that we are given that IJL is 45. 45 is half of 90 so LJK must be 45.

To find angle JLK we must add angle L and angle y.

60+45=105

Angles in a straight line add up to 180. So,

180-105=75

75 = Angle JLK

75+45=120

Angles in a triangle add up to 180 so,

180-120= 60

Angle x= 60°

Hope this helped, if so please award me with the brainliest if possible. If you require further assistance from me comment below! :)

5 0

2 years ago