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ale4655 [162]
3 years ago
5

Ba + 3ca = -2 Solve for a

Mathematics
1 answer:
monitta3 years ago
3 0

We have:

ba + 3ca = -2

Extract common factor "a":

a(b + 3c) = -2

Divide by the term (b + 3c):

a = \dfrac{-2}{b+3c}

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Given parallelogram ABCD, solve for X
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Opposite sides of a parallelogram are congruent, so make BC and AD equal to each other in an equation.

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Subract 2x from both sides.

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3 years ago
In a normal distribution, what percent of the values lie above the mean?​
Leya [2.2K]

In statistics, the 68–95–99.7 rule, also known as the empirical rule, is a shorthand used to remember the percentage of values that lie within a band around the mean in a normal distribution with a width of two, four and six standard deviations, respectively; more accurately, 68.27%, 95.45% and 99.73% of the values lie .

5 0
4 years ago
Assume that there are 22 frozen dinners: 12 pasta, 6 chicken, and 4 seafood dinners. The student selects 5 of them. What is the
Stells [14]

Since, there are 22 frozen dinners. Out of these, 22 are pasta, 6 chicken and 4 seafood dinners.

We have to determine the probability that at least 2 of the dinners selected are pasta dinner. At least 2 of the dinners selected are pasta, it means that there can be 2 pasta, 3 , 4 or 5.

So, Probability with at least 2 of dinners

= \frac{(^{12}C_{2} \times ^{10}C_{3})+ (^{12}C_{3} \times ^{10}C_{2})+(^{12}C_{4} \times ^{10}C_{1})+(^{12}C_{5})}{^{22}C_{5}}

We will use the combination formula, which states ^nC_r = \frac{n!}{r! (n-r)!}

= \frac{(66 \times 120)+(220 \times 45)+(495 \times 10)+(792)}{26334}

=\frac{7920+9900+4950+792}{26334}

= \frac{23562}{26334}

= 0.894

=0.90

Therefore, the probability that at least 2 of the dinners selected are pasta is 0.90

3 0
3 years ago
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