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dsp73
3 years ago
10

C an anyone solve this 3(2b + 3)2 = 36 and if so what is it

Mathematics
2 answers:
vodomira [7]3 years ago
6 0
Assuming it's linear:

3(2b+3)2 = 36

6(2b+3) = 36
12b + 18 = 36
12b = 18
b = 1.5

Assuming you meant to put the 2 as an exponent:
3(2b+3)² = 36

First do the exponent:
3(4b² + 12b + 9) = 36

Multiply it out:
12b² + 36b + 27 = 36
12b² + 36b - 9 = 0

Factor:
3(4b² + 12b - 3) = 0

Apply Quadratic Formula:

x = (-12 +- √(144 + 48)) / 8
x = (-12+√192) / 8 and x = (-12 - √192) / 8

This makes it so that the variable you're solving for = .232 and -3.232.

Natali [406]3 years ago
5 0
3(2b + 3)^2 = 36

Divide by 3 on both sides:
(2b + 3)^2 = 12

Square root both sides:
2b + 3=  \pm \sqrt{12}

Take away 3 from both sides:
2b= \pm \sqrt{12} - 3

Divide by 2 on both sides:
b=  \dfrac{ \sqrt{12} -3 }{2}  \ or \ b=  \dfrac{ -\sqrt{12} -3 }{2}

Answer:
b=  0.23 \ or \ -3.23


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Answer:

No, at alpha equals 0.10​, we do not have enough evidence to support the​ county's claim.

Step-by-step explanation:

We are given that a county is considering raising the speed limit on a road because they claim that the mean speed of vehicles is greater than 30 miles per hour.

A random sample of 15 vehicles has a mean speed of 31 miles per hour and a standard deviation of 4.7 miles per hour.

<em><u>Let </u></em>\mu<em><u> = true mean speed of the vehicles.</u></em>

SO, <u>Null Hypothesis</u>, H_0 : \mu \leq  30 miles per hour   {means that the mean speed of vehicles is lesser than or equal to 30 miles per hour}

<u>Alternate Hypothesis,</u> H_A : \mu > 30 miles per hour   {means that the mean speed of vehicles is greater than 30 miles per hour}

The test statistics that will be used here is <u>One-sample t test statistics</u> as we don't know about the population standard deviation;

                        T.S.  = \frac{\bar X -\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample mean speed of 15 vehicles = 31 mph

             s = sample standard deviation = 4.7 mph

             n = sample of vehicles = 15

So, <em><u>test statistics</u></em>  =   \frac{31-30}{\frac{4.7}{\sqrt{15} } }  ~ t_1_4

                               =  0.824

<u><em>Hence, the value of test statistics is 0.824.</em></u>

<em />

<em>Now at 0.10 significance level, the t table gives critical value of 1.345 at 14 degree of freedom for right-tailed test. Since our test statistics is less than the critical value of t as 0.824 < 1.345, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.</em>

<em />

Therefore, we conclude that the mean speed of vehicles is lesser than or equal to 30 miles per hour which means that the county's claim is not supported.

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Answer:

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Step-by-step explanation:

Yards: 1 yard = 36 inches

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So if each yard is 36 inches and there are 83.58 sets of 36 inches in 3009 then that's how many yards you have.

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Again, if each foot is 12 inches and there are 250.75 sets of 12 inches in 3009 then that's how many feet you have.

Inches: It's already in inches :)

I hope this isn't confusing and I could help!

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