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mezya [45]
2 years ago
12

a tree with a height of 4m casts a shadow 15 m long on the ground. How high is another tree that casts a shadow which is 20m lon

g? A) draw a picture b) write a proportion c) substitute d)solve
Mathematics
1 answer:
laiz [17]2 years ago
8 0

A) Attached picture

B) \frac{4}{15}=\frac{x}{20}

C) Not sure what this means

D) Multiplying both sides by 20, x=20 \left(\frac{4}{15} \right)=\frac{16}{3} m.

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Find the percent increase. Round to the nearest percent.<br> From 17 friends to 19 friends
enyata [817]

I do believe it would be 12 percent, if rounded.

3 0
3 years ago
According to a Pew Research Center, in May 2011, 35% of all American adults had a smart phone (one which the user can use to rea
Veronika [31]

Answer:

p_v =P(z>1.82)=0.034  

Assuming a standard significance level of \alpha=0.05 the best conclusion for this case would be:

4. There is not enough evidence to show that more than 35% of community college students own a smart phone (P-value = 0.034).

Because p_v

If we select a significance level lower than 0.034 then the conclusion would change.

Step-by-step explanation:

Data given

n=300 represent the random sample taken

X=120 represent the people who have a smart phone

\hat p=\frac{120}{300}=0.4 estimated proportion of people who have a smart phone

p_o=0.35 is the value that we want to test

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

System of hypothesis

We need to conduct a hypothesis in order to test the claim that the true proportion of people who have a smart phone is higher than 0.35, the system of hypothesis are.:  

Null hypothesis:p\leq 0.35  

Alternative hypothesis:p > 0.35  

The statistic is given by:

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

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.4 -0.35}{\sqrt{\frac{0.35(1-0.35)}{300}}}=1.82  

Statistical decision  

Since is a right tailed test the p value would be:  

p_v =P(z>1.82)=0.034  

Assuming a standard significance level of \alpha=0.05 the best conclusion for this case would be:

4. There is not enough evidence to show that more than 35% of community college students own a smart phone (P-value = 0.034).

Because p_v

If we select a significance level lower than 0.034 then the conclusion would change.

4 0
3 years ago
Mrs. Haines paid $43.94 per gallon for 12.7 gallons of gas. She uses some credit card points to get $0.52 off per gallon. What i
rjkz [21]
3.98 cents a gallon this is a rounded to the nearest hundred
8 0
3 years ago
Read 2 more answers
Find the simplified form of (-3)^-4<br><br> A. 12<br><br> B. -81<br><br> C. 1/81<br><br> D. -1/81
denpristay [2]
-3 ^-4  = 1/81

 the answer is C

4 0
3 years ago
Read 2 more answers
An oxygen tank contained 212 12/3 liters of oxygen before 27 1/3 liters were used. If the tank can hold 240 3/8 liters, how much
lukranit [14]
So, initially   240\frac{3}{8} -212 \frac{12}{3} were empty:

this is :

240  \frac{3}{8} - 212  \frac{12}{3}  = 240  \frac{3}{8} - 212  +4 = 240  \frac{3}{8} - 216= 24  \frac{3}{8}

12/4 is 4 so that's why i substituted it with 4.

now, later 27 1/3 were used so we add this tho the original empty space

 24  \frac{3}{8}+ 27  \frac{1}{3} =  24  \frac{9}{24}+ 27  \frac{8}{24} = 51  \frac{17}{24}


which is the result!





5 0
3 years ago
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