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3 years ago

Solve equation by factoring.

Mathematics

1 answer:

3241004551 [841]3 years ago

8 0

Hi ;-)

$x^2+6x-10=30 \ \ /-30\\\\x^2+6x-40=0\\\\a=1, \ b=6, \ c=-40\\\\\Delta=b^2-4ac=6^2-4\cdot1\cdot(-40)=36+160=196\\\\\sqrt{\Delta}=\sqrt{196}=14\\\\x_1=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-6-14}{2}=\boxed{-10}\\\\x_2=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-6+14}{2}=\boxed4$

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Answer:

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3 years ago

3. The completion of a construction job may be delayed because of a strike. The probabilities are 0.60 that there will be a stri

xxTIMURxx [149]

Answer:

0.55 = 55% probability that the construction job will be completed on time

Step-by-step explanation:

We have these following probabilities:

0.6 probability there is a strike. In this case, 0.35 probability that the construction will be completed on time.

1 - 0.6 = 0.4 probability that is not a strike. In this case, 0.85 probability that the construction will be completed on time.

What is the probability that the construction job will be completed on time?

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8 0

3 years ago

Subtract and simplify 3g-1/9-g+1/6

zlopas [31]

Final Answer: 2g + 1/18

3g - 1g - 1/9 + 1/6
2g - 1/9 + 1/6

- 1 × 2 -2
------- -------
9 × 2 18

+ 1 × 3 3
------- -------
6 × 3 18
__________________
- 2 + 3 1
------------- = -----------
18 18

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3 years ago

Jon earns $3 for every package he wraps. To take a package to the post office, Jon earns 1.65 times as much as he earns for wrap

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3 years ago

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Reika [66]

Answer:

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Step-by-step explanation:

Let X = number of hours a 4th grader reads comics and Y = number of 4th grader addicted to reading comics.

The random variable X is continuous and follows a normal distribution with mean, μ = 6 hours and standard deviation, σ = 2 hours.

And the random variable Y is discrete and follows a binomial distribution with success defined as a 4th grader is addicted to reading comics.

Compute the probability that a 4th grader is addicted to reading comics as follows, i.e. determine the value of P (X > 11) .

$P(X>11) = P(\frac{X-\mu}{\sigma} >\frac{11-6}{2})\\=P(Z >2.5)\\=1-P(Z$

Use the <em>Z</em>-table for the probability value.

Now compute the probability that out of 20 fourth graders at least 1 is addicted to comics as follows:

The Binomial probability function is:

$P(Y)=^{n}C_{y} p^{y} (1-p)^{n-y}$

Compute the value of $P(Y\geq 1)$ as follows:

$P(Y\geq 1)=1-P(Y$

Thus, the probability that at least one of the 20 4th graders is addicted to comic books is 0.12.

8 0

3 years ago