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3 years ago

Find the value of a. (6a+10) (3a + 55)

Mathematics

2 answers:

mojhsa [17]3 years ago

8 0

(6a+10)⋅(3a+55)=18a^2+330+30a+550
=18a^2+330a+30a+550=18a^2+360a+550
a=-5/3 or a=-55/3

hope it helps!

cricket20 [7]3 years ago

3 0

Fist add what’s in the (. ) 16a multiply 58a equals 928

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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:

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

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

$P(-1.2$

8 0

4 years ago

What is the perimeter of a rectangle that has a length of 40 Ft and a width of 17 ft?

statuscvo [17]

Answer:

i think 114ft

Step-by-step explanation:

5 0

1 year ago

Read 2 more answers

At Dubai metro station, in a week 320 trains arrived. Out of these 5% arrived early and 15% arrived late. How many arrived on ti

dybincka [34]

The number of trains that arrived Dubai metro station on time is; 272 trains.

We are told that 320 trains arrived the Dubai metro station in a week.

Now, we are told that 5% got there early and 15% got there late.

This means, the percentage that got there on time is;

100% - % of trains that got there late.

Therefore, percentage of trains that got there on time is;

100% - 15% = 85%

Since 85% of the trains got there on time, then number of trains that got there on time is;

85% × 320 = 272

Therefore, we can conclude that 272 trains arrived on time.

Read more at; brainly.in/question/33336249

4 0

2 years ago

Sabrina threw a coin from a building 160 feet high at an initial speed of 30 feet per second. How many seconds will it take the

nirvana33 [79]

Without speeding up it would take 5 1/3 seconds.. not sure if it speeds up in the question?

3 0

3 years ago

Using y=mx+b find the slope for 7) 8x + 3y = −9

malfutka [58]

Answer:

-8/3

Step-by-step explanation:

8x + 3y = - 9

Let's make y the subject of the formula.

y = - 9/3 - 8x/3

Rearrange

y = - 8x/3 - 3

The slope is the coefficient of x which is - 8/3

If you don't understand, please leave a comment

Please gimme brainliest

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3 years ago