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liq [111]
2 years ago
7

Mai runs 3 laps around the track in 4 minutes How many minutes per lap is that?

Mathematics
1 answer:
Zigmanuir [339]2 years ago
5 0
I think it might be 1.2
You might be interested in
Two construction workers, Tyrone and Diego, are standing 15 yards apart, looking up at a piano hanging between the two men from
Yanka [14]

Answer:

The distance between Tyrone and the piano is 23.7 yards

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of angle P

Remember that the sum of the internal angles of a triangle must be equal to 180 degrees

∠T+∠D+∠P=180°

substitute the given values

65°+77°+∠P=180°

142°+∠P=180°

∠P=180°-142°=38°

step 2

applying the law of sines

\frac{TD}{sin(P)}=\frac{TP}{sin(D)}

substitute the given values

\frac{15}{sin(38\°)}=\frac{TP}{sin(77\°)}

TP=\frac{15}{sin(38\°)}(sin(77\°))\\\\TP=23.7\ yd

therefore

The distance between Tyrone and the piano is 23.7 yards

6 0
3 years ago
in a sample 3/15 of the computers were defective which of thr following anwer choices represents 3/15 as a decimal​
Aliun [14]

Answer:

.20

Step-by-step explanation:

3/15 -- lets simplify

3/15 = 1/5, which is 20% or .20

8 0
2 years ago
Read 2 more answers
Ignoring those who said they weren't sure, there were 297 men asked, and 183 said yes, they had driven a car when they probably
USPshnik [31]

Answer:

z=\frac{0.616-0.5}{\sqrt{\frac{0.5(1-0.5)}{297}}}=3.998  

p_v =2*P(z>3.998)=0.0000639  

With the most common significance levels used \alpha= 0.1, 0.05, 0.01 we see that the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can say that the true proportion is significantly higher than 0.5

Step-by-step explanation:

Information given  

n=297 represent the random sample of male taken

X=183 represent the  men who said yes, they had driven a car when they probably had too much alcohol

\hat p=\frac{183}{297}=0.616 estimated proportion of men who said yes, they had driven a car when they probably had too much alcohol

p_o=0.5 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)  

Hypothesis to test

We need to conduct a hypothesis in order to test the claim that the majority of men in the population (that is, more than half) would say that they had driven a car when they probably had too much alcohol, and the system of hypothesis are:  

Null hypothesis:p\leq 0.5  

Alternative hypothesis:p > 0.5  

The statistic is given by:

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

After replace we got:

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

z=\frac{0.616-0.5}{\sqrt{\frac{0.5(1-0.5)}{297}}}=3.998  

Decision

We have a right tailed test so then the p value would be:  

p_v =2*P(z>3.998)=0.0000639  

With the most common significance levels used \alpha= 0.1, 0.05, 0.01 we see that the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can say that the true proportion is significantly higher than 0.5

7 0
3 years ago
What solid 3D object is produced by rotating the triangle about line m?
elena55 [62]

Answer: A cone with height 3 and radius 1

Step-by-step explanation:

Hi, searching I found the image for the question, attached down below.

By rotating the triangle about line m, a cone with height 3 and radius 1 is produced.

Solid 3d objects are produced by rotating a 2d figure around a straight line that lies in the same place.

in our case, if we rotate the triangle around the line, the vertices in touch with the line m remains stationary, while the  remaining vertex follows the path of a circle, creating a cone.

6 0
3 years ago
Read 2 more answers
Just number 2 please
Nezavi [6.7K]

Answer:

It has 3 sides and the measure is 3

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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