Can anyone please please help me with this,this is a quiz

Mathematics

1 answer:

kykrilka [37]3 years ago

6 0

Triangle. !!!!!!!!!!!!!!!

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Confidence Interval Application Many people feel that the drying of pavement marking paint is much too slow. You spend several d

djyliett [7]

Answer:

The sample size is $n =33$

Step-by-step explanation:

From the question we are told that

The margin of error is E = 1.5 seconds

The standard deviation is s = 4 seconds

Given that the confidence level is 97% then the level of significance is mathematically represented as

$\alpha =( 100 -97)\%$

=> $\alpha = 0.03$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 2.17$

Generally the sample size is mathematically represented as

$n =[ \frac{Z_{\frac{\sigma }{2 } } * \sigma }{E} ]^2$

=> $n =[ \frac{2.17 * 4 }{1.5} ]^2$

=> $n =33$

7 0

3 years ago

Two locomotives approach each other on parallel tracks. Each has a speed of 87 km/hr with respect to the ground. If they are ini

sergiy2304 [10]

Answer:

9.3

Step-by-step explanation:

if both travel at same speed they will take equal distance and time to reach the middle and collide.

hence, 27/2 =13.5km

speed=distance/time

time = distance/speed

time= 13.5/87 = 0.15517mm hr

0.15517×60 = 9.31minutes

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B%20%5Csec%281%20-%20%20%5Csin%28x%29%20%29%20%7D%20dx" id="TexFormula1" ti

Gnoma [55]

$\displaystyle\dfrac{1}{\sec x(1-\sin x)}=\dfrac{\cos x}{1-\sin x}\\\\\\\int \dfrac{dx}{\sec x(1-\sin x)}=\int\dfrac{\cos x\, dx}{1-\sin x}\\\\\\u=1-\sin x\\du=-\cos x\, dx\\\\\int \dfrac{\cos x\, dx}{1-\sin x}=\int \dfrac{-du }{u}=-\int \dfrac{du}{u}=-\ln |u|+C=-\ln|1-\sin x|+C$