Answer:
So there is a 2 in 13 chance to pull out either an ace or king from the deck
Step-by-step explanation:
Answer: The null and the alternative hypotheses are given below:


Under null hypothesis, the test statistic is:




Now we have to find the left tailed critical value at 0.01 significance level using the standard normal table.
The critical value is:

Since the test statistic is -0.26 lies in acceptance region because the critical region is beyond -2.33, therefore, we fail to reject the null hypothesis.
Answer:The wall is 8 ft wide and the picture frame is about 2 ft wide. The sides of the picture frame will be about (8-2)/4 = 3 ft from each wall.
However, since the picture frame is actually 22 inches wide, the exact distance would be (8*12 - 22)/2 = (96 - 22)/2 = 74/2 = 37inches (3 ft 1 inch) from the wall.
Solve the problem by first subtracting the width of the picture frame from the width of the wall. That will give the length of the wall that is not covered by the frame, or the "free length". Since the picture is centered in the width of the wall, there will be an equal distance from the frame to the wall on each side of the frame. Divide the free length by 2 to get the distance from the frame to the wall. Hope its helps ;)
Answer:
Step-by-step explanation:
√13.7/(3.05^2+2.6)
Answer:
10cm ( A )
Step-by-step explanation:
This would use the Pythagorean Theorem. That means it would be -
a^2_b^2= c^2, in this case, you have 2 of your legs already so those two values would be a&b. you would stick those two into the equation and it should look like this:
6^2+8^2=c^2
then 36+64=c
and then 100=c
after that, you would take the square root of c to get
10!