Hello there! So, Mike's soccer team bought 5 pizzas and it costs $12.99 per pizza. To find the total cost of their purchase, all you have to do is multiply the cost of pizza by the amount bought. 12.99 * 5 is 64.95. There. The team spent $64.95 total on pizza. The answer is A: $64.95.
Refer to the diagram shown below.
Assume that approximately all the data is contained under the probability distribution curve within 3 standard deviations from the mean. It is actually 99.7%.
Therefore,
bin #1 corresponds to μ-3σ,
bin #11 corresponds to μ,
bin #21 corresponds to μ + 3σ.
Let x be the random variable for bin 17.
Then by interpolation,
The z-score for x is
The probability corresponding to bin #17 is (from standard tables)
P(z≤1.8) = 0.964
Therefore if there are 1000 balls, the sum of the balls in bins 1 to 17 is
0.964 * 1000 = 96.4 ≠ 96 balls.
Answer: 96 balls
Answer:
g(1) = 2
Step-by-step explanation:
g(x) = x^2 + 1
if x=1
g(1) = 1^2 + 1
g(1) = 1 + 1
g(1) = 2
Hope this helps!
Answer:
The volume of the prism is A. 207cm
Volume of a prism is base x height
For a better understanding of the solution given here please find the attached file which has the relevant diagram.
To answer this question we will have to make use of <u>the Isosceles Triangle Theorem</u> which states that the perpendicular bisector of the base of an isosceles triangle is also the angle bisector of the vertex angle. Thus, as a corollary we know that is EF is the angle bisector of the vertex angle ∠E, then, EF is the perpendicular bisector of the of the base DK.
Please follow the diagram of a complete understanding of the logic and the solution.
As EF is the angle bisector as given in the question, thus we will have:
.
Also, from the Theorem we know that KF will be half of DK and thus, KF will be: centimeters.
Likewise, from the same theorem we have: