Answer: a) 6
<u>Step-by-step explanation:</u>
The mean is 375 which has a z-score of 0.
The standard deviation is 24 so:
- z-score of 1 is: 375 + 24 = 399
- z-score of 2 is: 399 + 24 = 423
- z-score of 3 is: 423 + 24 = 477
A z-score of 3 is 99.85% from the left <em>(or 1 - 99.85% from the right = 0.15%)</em>
Since we are looking for the "more than" a z-score of 3, it is 0.15% of the total.
4000
<u>× 0.0015</u>
6.0000
Answer:
The combination of coins would be four quarters and three dimes
Step-by-step explanation:
Answer:
No. of x-intercepts is equal to the no. of distinct species factors of a polynomial
Since this curve has only one distinct factor i.e (x+7)
The only x-intercepts is -7
(-7,0)
Y intercept would be at (0+7)⁷
Which is (0,7⁷)
Or (0,823543)
Since it's an odd power, branch of the curve for x > 7 would approach positive infinity
Branch for x < 7 would approach negative infinity
Answer:
<h2>5</h2>
Step-by-step explanation:
Given the following angles ∠BOC=x+3, ∠AOB=4x−7, and ∠AOC=21, the expression is true about the angles;
∠AOC = ∠BOC+∠AOB
Substituting the given values into the expression, we will have;
21 = x+3+4x-7
collect the like terms
21 = x+4x+3-7
21 = 5x-4
Add 4 to both sides
21+4 = 5x-4+4
25 = 5x
Divide both sides by 5
5x/5 = 25/5
<em>x = 5</em>
<em></em>
<em>Hence the value of x is 5</em>
Answer:
The hang time is 0.63 seconds
Step-by-step explanation:
We want to find out what the cricket's fall time is and we have the function that describes its height as a function of time.
The cricket is on the ground when its height is equal to zero. Therefore we must equal h to zero and solve the equation for t ..
We take t as a common factor
Then the height is zero when t = 0 and when (10-16t) = 0
At t = 0 seconds the cricket is still on the ground.
Then the cricket is in the air and after 0.63 seconds the cricket falls back to the ground