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ch4aika [34]
1 year ago
12

Solve the inequality and graph the solution. −0.8b + 2.3 ≥ 8.7

Mathematics
1 answer:
zlopas [31]1 year ago
5 0

The solution of the inequality is -8 ≥ b, and the correct graph is the one in option D.

"number line with a closed circle plotted at negative eight and arrow pointing left."

<h3>How to solve the inequality?</h3>

Here we have the inequality:

-0.8*b + 2.3  ≥ 8.7

And we want to solve this, to do so, we need to isolate the variable b in one of the sides of the inequality.

-0.8*b + 2.3  ≥ 8.7

2.3 - 8.7 ≥ 0.8*b

-6.4  ≥ 0.8*b

-6.4/0.8  ≥ b

-8 ≥ b

So the solution is the set of all numbers equal to or smaller than -8, then the correct graph will be the one described by D.

Learn more about inequalities:

brainly.com/question/24372553

#SPJ1

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Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 22 days and
Alika [10]

Answer:

25.5 days

Step-by-step explanation:

Mean number of days (μ) = 22 days

Standard deviation (σ) = 6 days

Z-score for the 72nd percentile (according to tabulated values) = 0.583

The z-score for any number of days, X, is determined by:

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

The value of X that is greater than 72% of the trial times is:

0.583=\frac{X-22}{6}\\ X=25.5\ days

Therefore, 72% of all of these types of trials are completed within 25.5 days.

6 0
3 years ago
X - (-20) = 5 _________________
tamaranim1 [39]

X - (-20) = 5

When you subtract a negative, change it to addition:

X + 20 = 5

Subtract 20 from both sides:

X = -15

8 0
3 years ago
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Is .21 (with only the one repeating) a rational number? please explain why! thanks!
Nostrana [21]

21 is a rational number because it is an integer, which can be converted into a fraction.

<u>Step-by-step explanation:</u>

When a denominater and numerator are integers and gives a quotient then it is a rational number.

21/1, where 21 is denominator and 1 is numerator the quotient is 21. Therefore 21 is a rational number which can also be considered as a ratio.

8 0
3 years ago
Given: triangle ABC and triangle EDC, C is the midpoint of BD and AE. <br>Prove: AB || DE
VladimirAG [237]

Step-by-step explanation:

1. ΔABC=ΔCDE: a) according to the condition BC=CD and AC=CE; b) m∠(BCA)=m∠(DCE).

2. if ΔABC=ΔCDE, then m∠(BAC)=m∠(DEC) and m∠(ABC)=m∠(CDE).

3. if m∠(BAC)=m∠(DEC), then AB || DE (or if m∠(ABC)=m∠(CDE), then AB || DE).

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3 years ago
3,666 = 39(p +25)<br><br> 20 POINTS + BRANLIESTTT PLEASE HELP
iVinArrow [24]

Answer:p=69

Step-by-step explanation:

Let's solve your equation step-by-step.

3666=39(p+25)

Step 1: Simplify both sides of the equation.

3666=39(p+25)

3666=(39)(p)+(39)(25)(Distribute)

3666=39p+975

Step 2: Flip the equation.

39p+975=3666

Step 3: Subtract 975 from both sides.

39p+975−975=3666−975

39p=2691

Step 4: Divide both sides by 39.

39p /39  =  2691 /39

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3 years ago
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