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nexus9112 [7]
4 years ago
8

4b×3b-2b=102 what is b

Mathematics
2 answers:
jeka944 years ago
7 0
4b×3b-2b=102
12b^2 - 2b = 102
12b^2 - 2b - 102 = 0
divide by 2
6b^2 - b - 51
(6b + 17)(b - 3) = 0
6b + 17 = 0
6b = -17
b = -17/6 or 2 5/6
b - 3 = 0
b = 3
Over [174]4 years ago
7 0
4b\cdot3b-2b=102\\
12b^2-2b-102=0\\
6b^2-b-51=0\\
6b^2+17b-18b-51=0\\
b(6b+17)-3(6b+17)=0\\
(b-3)(6b+17)=0\\\
b=3 \vee b=-\frac{17}{6}
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seropon [69]

Answer:

Probability = 0.4443

Step-by-step explanation:

The provided information is:

Consider X be the weight of extra-large egg that is normally distributed with mean \mu=3 \,oz and standard deviation \sigma = 0.1 \,oz

Also, sample size n = 12.

Thus, the probability that an egg in a carton of a dozen eggs weights more than 3.5 oz is:

\begin{aligned}P( X > 3.5) &= P(Z >\frac{3.5-3}{\frac{0.1}{\sqrt{12}}})\\&=P(Z>0.14)\\&=1-P(Z\leq0.14)\\&=1-0.557\\&=0.4443\end{aligned}

6 0
3 years ago
The diagram shows FGH, its medians, centroid P, and the lengths of some of the subsegments. Apply the Centroid Theorem to find o
nadezda [96]

Answer:

Step-by-step explanation:

We will use two properties to solve this problem,

1). Medians of a triangle bisect the sides of a triangle.

2). Centroid of a triangle divides the medians in the ratio of 2 : 1.

Length of FH = 2 × Length of HX

                      = 2 × 12

                FH = 24

PF : PZ = 2 : 1

\frac{PF}{PZ}=\frac{2}{1}

\frac{PF}{4}=\frac{2}{1}

PF = 8

GX = GP + PX

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Since, \frac{GP}{PX}=\frac{2}{1}

PX = \frac{9}{2} = 4.5

Therefore, GX = 9 + 4.5

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4 0
3 years ago
I ALWAYS DO MY BROS WORK sO can u help him?
Nady [450]

Answer:

the probability is closer to 1 than it is to 0

Step-by-step explanation:

8 0
3 years ago
17 POINTS
notsponge [240]

This problem can be solved with a series of additions and subtractions.

The starting value is 500 and we first subtract 120 because on Monday they withdrew 120 dollars which leaves us with 380 dollars.

Next, we add 50 because on Wednesday they deposited 50 dollars which results in 430.

And, If I am not mistaken, we are done because when Braxton bought their basketball ticket, they used their debt card and did not withdrew from their checking account.

So, the answer is 430 dollars.

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3 years ago
Distance between parallel lines y=3x+10 and y=3x-20
Alecsey [184]

1. Take an arbitrary point that lies on the first line y=3x+10. Let x=0, then y=10 and point has coordinates (0,10).


2. Use formula d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+B^2}} to find the distance from point (x_0,y_0) to the line Ax+By+C=0.


The second line has equation y=3x-20, that is 3x-y-20=0. By the previous formula the distance from the point (0,10) to the line 3x-y-20=0 is:

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Answer: d=3\sqrt{10}.

4 0
3 years ago
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