Answer:
1.16
Step-by-step explanation:
Given that;
For some positive value of Z, the probability that a standardized normal variable is between 0 and Z is 0.3770.
This implies that:
P(0<Z<z) = 0.3770
P(Z < z)-P(Z < 0) = 0.3770
P(Z < z) = 0.3770 + P(Z < 0)
From the standard normal tables , P(Z < 0) =0.5
P(Z < z) = 0.3770 + 0.5
P(Z < z) = 0.877
SO to determine the value of z for which it is equal to 0.877, we look at the
table of standard normal distribution and locate the probability value of 0.8770. we advance to the left until the first column is reached, we see that the value was 1.1. similarly, we did the same in the upward direction until the top row is reached, the value was 0.06. The intersection of the row and column values gives the area to the two tail of z. (i.e 1.1 + 0.06 =1.16)
therefore, P(Z ≤ 1.16 ) = 0.877
Step-by-step explanation:
If g(a)=0, the limit necessarily doesn't have to not exist. If a limit approach an asymptote, it would approach positive infinity or negative infinity.
Answer:
(x+1)(x−1)(x+4)(x−4)
Step-by-step explanation:
Trapezoids always have 4 sides, so this is true. All rhombuses have parallel sides, so B is true also. A trapezoid has two sides that are not parallel, so C is not true. (remember, you only have to find one instance where your statement is false for it to be false) And for D, all rhombuses are kite-shaped so D is not true. A and B are true. Hope this helps. :)
Answer
Fill the 5 gallon jug.
Pour the 5 gallon jug into the 3 gallon jug.
Empty the 3 gallon jug and pour the remaining 2 gallons in the 3 gallon jug.
Fill the 5 gallon jug and pour 1 gallon into the 3 gallon jug (remember it will only take one gallon)
Viola the remaining 5 gallon jug will have exactly 4 gallons remaining.
