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3 years ago

Solve the two-step equation. -9x + 0.4 = 4

1 answer:

3 0

Hmm ok what thw answer would be is x=-0.4
Since you subtract 0.4 from both sides end up with -9x=3.6 and then divide -9 on both sides -9x/-9 cancel and 3.6/-9 and end up with x=0.4 hope this helped

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At 5:00pm the temperature read 10° above zero. At midnight it read 4 ° below zero. Find the change

larisa86 [58]

The temperature changed a total of 14° over the course of 7 hours with an average change of 2° per hour drop.

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3 years ago

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

Which of the following numbers are less than nine over four

allochka39001 [22]

Answer:

option B and C

Step-by-step explanation:

option B and C

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3 years ago

Identify the property used in the following<br>a+b=b+a<br>(ab)c =a(bc)

KATRIN_1 [288]

Answer: The first one is Commutative Property

The second one is associative property

Step-by-step explanation:

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3 years ago

Read 2 more answers

Help me solve this question please. Thank you

IrinaVladis [17]

Answer:

an = 80. 2^(n-5)

Step-by-step explanation:

r = a6/a5 =160/80 = 2

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= 80. 2^(n-5)

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