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Oksanka [162]
3 years ago
15

Which choices are equivalent to the expression below? Check all that apply.

Mathematics
2 answers:
iVinArrow [24]3 years ago
6 0

Answer:

Answer is option a,b and d.

Step-by-step explanation:

Property of exponents:

\frac{ {a}^{m} }{ {b}^{n} }  =  {a}^{m - n}

Alekssandra [29.7K]3 years ago
4 0
The answer is B, 5^3
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If you can mow 90 lawns in 45 hours, how long will it take to mow 12?
Alex777 [14]
<h3>Answer:  6 hours</h3>

Work Shown:

(90 lawns)/(45 hours) = (12 lawns)/(x hours)

90/45 = 12/x

2 = 12/x

2x = 12

x = 12/2

x = 6

It takes 6 hours to mow 12 lawns.

5 0
2 years ago
The function g is defined by g(x) = 1/2x - 1. What is<br> the value of g(6) ?
Alex777 [14]

Answer:

2

Step-by-step explanation:

g(x) = 1/2x - 1

g(6= 1/2*6-1= 3-1= 2

6 0
3 years ago
Someone please help me!!!!
Sunny_sXe [5.5K]

Answer:

180+54sqrt3

You have to use the formula that is contained within the lessons, the answer you should have before you format it like this is: 273.530743609

5 0
3 years ago
According to a polling​ organization, 24% of adults in a large region consider themselves to be liberal. A survey asked 200 resp
Varvara68 [4.7K]

Answer:

z=\frac{0.375 -0.24}{\sqrt{\frac{0.24(1-0.24)}{200}}}=4.47  

Now we can calculate the p value based on the alternative hypothesis with this probability:

p_v =P(z>4.47)=0.00000391  

The p value is very low compared to the significance level of \alpha=0.05 then we can reject the null hypothesis and we can conclude that the true proportion of people liberal is higher than 0.24

Step-by-step explanation:

Information given

n=200 represent the random sample taken

X=75 represent the number of people Liberal

\hat p=\frac{75}{200}=0.375 estimated proportion of people liberal

p_o=0.24 is the value that we want to test

z would represent the statistic

p_v represent the p value

Hypothesis to test

We want to verify if the true proportion of adults liberal is higher than 0.24:

Null hypothesis:p \leq 0.24  

Alternative hypothesis:p > 0.24  

The statistic is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the info given we got:

z=\frac{0.375 -0.24}{\sqrt{\frac{0.24(1-0.24)}{200}}}=4.47  

Now we can calculate the p value based on the alternative hypothesis with this probability:

p_v =P(z>4.47)=0.00000391  

The p value is very low compared to the significance level of \alpha=0.05 then we can reject the null hypothesis and we can conclude that the true proportion of people liberal is higher than 0.24

6 0
3 years ago
Laquita practiced 60 math facts. Kinman practiced 15 more facts than Laquita. How many math facts did they practice in all?
Afina-wow [57]

Answer:

They practiced a total of 75 math facts in all!

60 + 15 = 75 :D

5 0
3 years ago
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