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olga nikolaevna [1]
2 years ago
5

Is the expression 3/4a (16b + 24) equivalent to 12ab + 18a? SHOW YOUR WORK

Mathematics
1 answer:
ipn [44]2 years ago
5 0

Answer:

Yes they are equivalent.

Step-by-step explanation:

since 16 times 3/4 is 12 and a times b is ab. Put those together and you get 12ab. Since 3/4 of 24 is 18 and the variable is a, it is 18a. Hope this helped.

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To test if the mean IQ of employees in an organization is greater than 100, a sample of 30 employees is taken and the value of t
ivolga24 [154]

Answer:

p_v =P(t_{(29)}>1.42)=0.0831  

For this case the p value calculated is higher than the significance level used of 0.05 so then we have enough evidence to FAIL to reject the null hypothesis and the best conclusion for this case would be:

a) do not reject the null hypothesis and conclude that the mean IQ is not greater than 100

Step-by-step explanation:

Information given

We want to verify if he mean IQ of employees in an organization is greater than 100 , the system of hypothesis would be:  

Null hypothesis:\mu \leq 100  

Alternative hypothesis:\mu > 100  

The statistic for this case is given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

The statistic calculated for this case  t_{calc}= 1.42

The degrees of freedom are given by:

df=n-1=30-1=29  

Now we can find the p value using tha laternative hypothesis and we got:

p_v =P(t_{(29)}>1.42)=0.0831  

For this case the p value calculated is higher than the significance level used of 0.05 so then we have enough evidence to FAIL to reject the null hypothesis and the best conclusion for this case would be:

a) do not reject the null hypothesis and conclude that the mean IQ is not greater than 100

5 0
3 years ago
What is the product of 2p + q and -39 - 6p + 1?
zlopas [31]

Answer:

Option (2)

Step-by-step explanation:

In this question we have to find the multiplication of the two expressions.

(2p + q)(-3q - 6p + 1)

= 2p(-3q - 6p + 1) + q(-3q - 6p + 1) [By distributive property]

= -6pq - 12p²+ 2p - 3q² - 6pq + q

= -12p² - (6pq + 6pq) - 3q² + 2p + q

= -12p² - 12pq + 2p - 3q² + q

Therefore, Option (2) will be the correct option.

3 0
3 years ago
Help please<br> ......................
prohojiy [21]

Plug -2 in for x and -5 in for y.

A. 1 - 2(-2) + 3(-5) = -10

B. - |(-2) - (-5)| = -3

C. Sqrt((-2)^2) + cubert((-5)^3) = -7

D. 1/2(-2) + 1/3(-5) = -8/3

5 0
3 years ago
The domain of the following relation is R:(-4,3),(3,6),(-2,1),(3,6) is
svetoff [14.1K]
The domain of a relation is always the set of the first coordinate of each pair,

\bf  R:(\stackrel{\downarrow }{-4},3),(\stackrel{\downarrow }{3},6),(\stackrel{\downarrow }{-2},1),(\stackrel{\downarrow }{3},6)
7 0
3 years ago
Giving brainlyest to the person with the correct answer :)
Arada [10]

Answer:

13.44 meters ahead

Step-by-step explanation:

phil distance = 6.59 m/s *12 sec     meters

Mary dist = 5.47 *12     meters  

difference :

6.59 *12   - 5.47 *12  = 13.44 meters

6 0
1 year ago
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