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
Answer:
380
Step-by-step explanation:
1200 + 700 = 1900/5 = 380
Pythagorean Theorem is:
c² = a² + b²
Let’s find the values of a and b.
Looking at the image provided in the question we have 2 number already, 70 and 120.
Let’s name the side with length 120 as a, and the side with length 70 as b.
Then we should substitute these values into the Pythagorean Theorem:
c² = 120² + 70²
c² = 14400 + 4900
c² = 19300
Then we should work out the value of c by square rooting both sides:
√c = √19300
c = 138.92444
Therefore the ball would have to be hit a total of 138.92444 units.
If you have to round, that would be 139 units.
<u>Answer:</u>
<u>Step-by-step explanation:</u>
We know that:
First, we need to change the 'y' sign.
- => -y = -x + 6
- => y = x - 6
Now, let's compare both of the equations to find slope.
- => (y = x - 6) = (y = mx + b)
We can see that the slope is 1 and the y-intercept is -6.
<u>Conclusion:</u>
Therefore:
Hoped this helped.
Answer:
7x² + 4x + 32
Step-by-step explanation:
13x² + 7x +21
<u>- 6x² + 3x - 11 </u>
7x² +4x + 32
