Answer:
AC = { 4, 5, 6, 7 }
Step-by-step explanation:
If you see, the diagonal AC forms two triangles, Δ ABC, and Δ ADC. In Δ ABC, AC = 3 units and BC = 6 units, while AC is yet to be known. Respectively in Δ ADC, AD = 4 units and CD = 4 units, while AC is again yet to be known.
In both triangles the triangle inequality can help find the possible value( s ) of AD, as this inequality only restricts some of the possible values with which AC can take. At the same time AC is shared among the two triangles, so if we can apply the Triangle Inequality to both of these triangles, the value of AC can be " further restricted. "
And there we have two inequalities, 3 < AC < 9, and 0 < AC < 8. Combining both inequalities the only possible integer values for AC would be 4, 5, 6, and 7.
Answer:
A) 0.072 = 7.2%
B) 8.3333 at-bats (8 to 9 at-bats)
Step-by-step explanation:
A)
If the chance of hitting a home run is 0.12, the chance of not hitting a home run is 1 - 0.12 = 0.88.
To find the probability of the next home run being in the fifth strike, we need the four other strikes to not be a home run, so the probability is:
P = (0.88)^4 * 0.12 = 0.072 = 7.2%
B)
To find the expected number of at-bats until the next home run, we just need to divide 100% by the probability of hitting a home run (0.12 = 12%):
100/12 = 8.3333
So the expected number is 8 to 9 at-bats
Answer:
95% Confidence interval: (0.2291,0.3015)
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 418+151 = 569
Number of yellow peas, x = 151
a) 95% Confidence interval:
Putting the values, we get:
b) Interpretation of confidence interval
We are 95% confident that the proportion of yellow peas in the sample lies within the range (0.2291,0.3015)
Answer:
A
Step-by-step explanation:
the function for M is y=5x+1 and its rate of change is 2 off of P
