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3 years ago

Write a system of equations and solve

1 answer:

3 0

$c+b=7$
$5c+45b=195$

$c+b=7$ --> $c=7-b$
$5c+45b=195$

$5(7-b)+45b=195$
$35-5b+45b=195$
$35+40b=195$
$40b=160$
$b=4$

$c+(4)=7$
$c=3$

$cars:3 \\ 
buses:4$

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Use the confidence level and sample data to find a confidence interval for estimating the population mu. Round your answer to th

Schach [20]

Answer: $(587.67,596.33)$

Step-by-step explanation:

The confidence interval for population mean is given by :-

$\overline{x}\ \pm\ z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

Given : Sample mean : $\overline{x}= 592$ hours

Standard deviation $\sigma= 25$ hours

Sample size : n=90, which is a large sample(n<30), so we use z-test.

Significance level: $1-0.90=0.1$

Critical value : $z_{\alpha/2}=t_{22,0.025}=1.645$

Then , the confidence interval for population mean will be :-

$592\ \pm\ (1.645)\dfrac{25}{\sqrt{90}}\\\\\approx592\pm4.33\\\\=(592-4.33,592+4.33)\\\\=(587.67,596.33)$

Hence, the 90% confidence interval for the mean life $\mu$ of all light bulbs of this type. is $(587.67,596.33)$

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4 years ago

Please help im gonna cry <br> substitute these simultaneous <br> a+2p=4<br> x-2y=6

Cloud [144]

I do not know what this is but don’t cry

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3 years ago

Which fraction converts to a repeating decimal? Question 8 options: A) 412 B) 48 C) 42 D) 410

aleksandr82 [10.1K]

Unfortunately, you have not shared any of the fractions in question. 412, 48, 42 and 410 are all "integer" or "whole" numbers. Please share the entire question.

Example: 48 2/3 can be re-written with a repeating decimal:

48 2/3 = 48.666666666 .....

3 0

4 years ago

Perform the multiplication:

LUCKY_DIMON [66]

First one is 33y^3-22y^2-27y+18
Second one is -3a^4-20a^2 x^2+7x^4
I hope this helps you :)

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4 years ago

A 45 foot ladder is set against the side of a house so that it reaches up 27 feet. If Nicole grabs the ladder at its base and pu

Elina [12.6K]

Mark Brainliest please.

Answer : The ladder will reach 20.6 feet.

Explanation:

Refer the image attached for explanation

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3 years ago