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Setler79 [48]
3 years ago
9

6. A pedestrian underpass is constructed using a cylindrical pipe of radius 2.6 m. The bottom of

Mathematics
1 answer:
Ivanshal [37]3 years ago
4 0

Answer:

4.5 m

Step-by-step explanation:

Distance from center to the the bottom part where headroom begins is 3.9 m-2.6 m=1.3 m

Since the radius is 2.6 m and acts as hypotenuse(see attached image), then the other length will be

\sqrt {2.6^{2}-1.3^{2}=5.07}=2.25166605


Approximately 2.25 m

The half width is 2.25 m hence full width will be 2.25*2=4.5 m

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Which phrase best describes the translation from the graph y = 2(x - 15)2 + 3 to the graph of y = 2(x - 11)2 + 3?
ivolga24 [154]

Answer:

4 units to the left

Step-by-step explanation:

y = a (x - h)² + k

The h is a horizontal translation of <em>h</em> units.

For h > 0, move right

For h < 0, move left

8 0
3 years ago
The mayor of a town has proposed a plan for the annexation of an adjoining community. A political study took a sample of 900 vot
Stells [14]

Answer:

z=\frac{0.75 -0.72}{\sqrt{\frac{0.72(1-0.72)}{900}}}=2.00  

Now we can calculate the p value. Since is a bilateral test the p value would be:  

p_v= P(Z>2) =0.0228

Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true proportion of residents favored annexation is higher than 0.72 or 72%

Step-by-step explanation:

Information given

n=900 represent the random sample selected

\hat p=0.75 estimated proportion of residents favored annexation

p_o=0.72 is the value that we want to test

represent the significance level

z would represent the statistic

p_v represent the p value

Hypothesis to test

The political strategist wants to test the claim that the percentage of residents who favor annexation is above 72%.:  

Null hypothesis:p\leq 0.72  

Alternative hypothesis:p > 0.72  

The statistic for this case is given by:

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

Replacing the data given we got:

z=\frac{0.75 -0.72}{\sqrt{\frac{0.72(1-0.72)}{900}}}=2.00  

Now we can calculate the p value. Since is a bilateral test the p value would be:  

p_v= P(Z>2) =0.0228

Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true proportion of residents favored annexation is higher than 0.72 or 72%

3 0
3 years ago
Which is greater. -7/12 or -5/9
ANEK [815]

Answer:

Damian here! (ノ◕ヮ◕)ノ*:・゚✧

Step-by-step explanation:

-5/9 is the answer

-5/9 >  -7/12

Hope this helps? :))

7 0
3 years ago
HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!
AleksAgata [21]
Your answer would be b.2 

6 0
3 years ago
Read 2 more answers
Hey guys it's been a while can you just help me with these two problems?​
lutik1710 [3]

Answer:

Your already right on both of them lol

Step-by-step explanation:

Pls brainliest thx! :D

7 0
3 years ago
Read 2 more answers
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