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irinina [24]
3 years ago
13

Factor completely 9ab + 12ax − 6b − 8x.

Mathematics
1 answer:
Len [333]3 years ago
5 0
Okay so you split 9ab + 12ax - 6b - 8x 
<span>             into two 2-term polynomials </span>
              + 12ax + 9ab   and     - 6b - 8x
             doesn't look that good to me so lest try other one : 
             9ab + 12ax   and     - 6b - 8x
              looks good for now 

<span>      </span>      Pull out from each binomial separately
             9ab + 12ax   =   3a • (3b + 4x)
              - 6b - 8x   =    - 2 • (3b + 4x)

<span>     </span>      Add up to arrive at the desired factorization so now you have
            <span> (3a - 2) • (3b + 4x)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Hope that Helped!</span>
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Jada is visiting New York City to see the Empire State building. She is 100 feet away when she spots it. To see the top, she has
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Lightbulbs of a certain type are advertised as having an average lifetime of 750 hours. The price of these bulbs is very favorab
Katyanochek1 [597]

Answer:

(a) Customer will not purchase the light bulbs at significance level of 0.05

(b) Customer will purchase the light bulbs at significance level of 0.01 .

Step-by-step explanation:

We are given that Light bulbs of a certain type are advertised as having an average lifetime of 750 hours. A random sample of 50 bulbs was selected,  and the following information obtained:

Average lifetime = 738.44 hours and a standard deviation of lifetimes = 38.2 hours.

Let Null hypothesis, H_0 : \mu = 750 {means that the true average lifetime is same as what is advertised}

Alternate Hypothesis, H_1 : \mu < 750 {means that the true average lifetime is smaller than what is advertised}

Now, the test statistics is given by;

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

where, X bar = sample mean = 738.44 hours

               s  = sample standard deviation = 38.2 hours

               n = sample size = 50

So, test statistics = \frac{738.44-750}{\frac{38.2}{\sqrt{50} } } ~ t_4_9

                            = -2.14

(a) Now, at 5% significance level, t table gives critical value of -1.6768 at 49 degree of freedom. Since our test statistics is less than the critical value of t, so which means our test statistics will lie in the rejection region and we have sufficient evidence to reject null hypothesis.

Therefore, we conclude that the true average lifetime is smaller than what is advertised and so consumer will not purchase the light bulbs.

(b) Now, at 1% significance level, t table gives critical value of -2.405 at 49 degree of freedom. Since our test statistics is higher than the critical value of t, so which means our test statistics will not lie in the rejection region and we have insufficient evidence to reject null hypothesis.

Therefore, we conclude that the true average lifetime is same as what it has been advertised and so consumer will purchase the light bulbs.

6 0
3 years ago
A rectangular block has square base of area 64 cm². If the thickness of the block is 5 cm, find its total surface area. ​
Andrej [43]

Answer:

total surface area of cube is <u>6 * area of one side</u>

therefore area of one side is given 64cm^2

thickness is also given 5cm .

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4 0
3 years ago
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A little help?!? Pleaseee
Ksju [112]

Answer:

I think no. Because degree is the sum all variables in first equation degree. Is14 but second equation degree not 14.

4 0
3 years ago
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