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3 years ago

Which expression is a factor x^2-5x-6

Mathematics

1 answer:

Rainbow [258]3 years ago

5 0

Answer:

(x-6)(x+1)

Step-by-step explanation:

Why this is, is because of the negative signs. You have to find two numbers that when times together equaled 6, but when minused equaled -5. That would be -6 and 1. So you just put those in parenthesis to get (x-6)(x+1).

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What adds to 20 and multiplies to 84

gregori [183]

6 and 14
6+14=20
6x14=84

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2 years ago

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Factor <img src="https://tex.z-dn.net/?f=15x%2B%2040" id="TexFormula1" title="15x+ 40" alt="15x+ 40" align="absmiddle" class="la

dlinn [17]

Answer:

The answer is 5(3x + 8)

Step-by-step explanation:

Find the Greatest Common Factor (GCF).

$gcf = 5$

Factor out the GCF.

$5( \frac{15x}{5} + \frac{40}{5} )$

Simplify each term in parentheses.

$5(3x + 8)$

hence, the answer will be 5(3x + 8).

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3 years ago

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A simple random sample of size nequals81 is obtained from a population with mu equals 83 and sigma equals 27. (a) Describe the

Ivanshal [37]

Answer:

a) $\bar X \sim N (\mu, \frac{\sigma}{\sqrt{n}})$

With:

$\mu_{\bar X}= 83$

$\sigma_{\bar X}=\frac{27}{\sqrt{81}}= 3$

b) $z= \frac{89-83}{\frac{27}{\sqrt{81}}}= 2$

$P(Z>2) = 1-P(Z$

c) $z= \frac{75.65-83}{\frac{27}{\sqrt{81}}}= -2.45$

$P(Z$

d) $z= \frac{89.3-83}{\frac{27}{\sqrt{81}}}= 2.1$

$z= \frac{79.4-83}{\frac{27}{\sqrt{81}}}= -1.2$

$P(-1.2$

Step-by-step explanation:

For this case we know the following propoertis for the random variable X

$\mu = 83, \sigma = 27$

We select a sample size of n = 81

Part a

Since the sample size is large enough we can use the central limit distribution and the distribution for the sampel mean on this case would be:

$\bar X \sim N (\mu, \frac{\sigma}{\sqrt{n}})$

With:

$\mu_{\bar X}= 83$

$\sigma_{\bar X}=\frac{27}{\sqrt{81}}= 3$

Part b

We want this probability:

$P(\bar X>89)$

We can use the z score formula given by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we find the z score for 89 we got:

$z= \frac{89-83}{\frac{27}{\sqrt{81}}}= 2$

$P(Z>2) = 1-P(Z$

Part c

$P(\bar X$

We can use the z score formula given by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we find the z score for 75.65 we got:

$z= \frac{75.65-83}{\frac{27}{\sqrt{81}}}= -2.45$

$P(Z$

Part d

We want this probability:

$P(79.4 < \bar X < 89.3)$

We find the z scores:

$z= \frac{89.3-83}{\frac{27}{\sqrt{81}}}= 2.1$

$z= \frac{79.4-83}{\frac{27}{\sqrt{81}}}= -1.2$

$P(-1.2$

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4 years ago

The diameter of the wheel of a unicycle is 0.5m. David tries to ride the unicycle and manages to go in a straight line for 27 fu

Tema [17]

Answer:

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M=(x1+x2/2, y1+y2/2)
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