It is equivalent to 7(6) + 14
Step-by-step explanation:
- Step 1: Solve 7(a + 2) when a = 6
⇒ 7 (6 + 2) = 7 × 8 = 56
- Step 2: Find its equivalent
7(6) + 14 = 42 + 14 = 56
Answer:
- Question (2): 1/6 ≈ 0. 17
Explanation:
<u>1. Arrange the information of the balls contained in the bowls in a table:</u>
Bowl X Bowl Y Bowl Z Total
Red balls 2 2 1 5
White balls 2 1 3 6
Blue balls 3 1 2 6
==============================
Totals 7 4 6 17
<u>2. To answer each question use the basic definition of probabilities</u>
- Probability = # of favorable events / # of possible events
<u>3. Question (1) If the ball is blue, what is the probability that it was drawn from bowl X? </u>
<u />
- Number of total blue balls: 6
- Number of blue balls in the bowl X: 3
- Probability that a ball that is blue was drawn from the bowl X: P (b/X)
P (b/X) = number of blue balls in the bowl X / total number of blue balls = 3 / 6 = 1/2 = 0.5
<u>4. Question (2) If the ball is either blue or white, what is the probability that it was drawn from bowl Y?</u>
- Number of total blue and white balls: 6 + 6 = 12
- Number of blue balls and white balls in the bowl Y: 1 + 1 = 2
- Probability that a ball that is either blue or white was drawn from the bowl Y: P (b or w / Y)
P (b or w /Y) = number of blue balls and white balls in the bowl Y / total number of blue balls and white balls = 2 / 12 = 1/6 ≈ 0.17
500= 120+20x, where x is weeks
Subtract 120 from both sides
380=20x
Divide both sides by 20
19=x
19 weeks*7 days per week= 133 days
Final answer: 133 days
Answer:
D 381.7 in^3
Step-by-step explanation:
V=4/3pi r^3
V=4/3pi 4.5^3
4/3x3.14x4.5x4.5x4.5
It is approximately 381.51 when you use 3.14 as pi. This is closest to answer D, so I would assume it is that.
Sorry, I thought it said circle at first.
Answer:
r=1
Step-by-step explanation:
First we need to know the length of each side of the triangle, so we use the formula of the vector modulus:
By doing so, we find:
With this we know that the triangle is not right, but, we assume the longest side as the hypotenuse of the problem.
As we have two equal sides, we know that the line between point |AB| and the center of the hypotenuse is perpendicular, therefore, we can calculate it using Pythagoras theorem:
