Answer:
False. It is not possible for a triangle to have two right angles.
Step-by-step explanation:
Every triangle has 3 sides and, therefore, 3 angles (hence its name "tri" (three) "angle" (angles). Always, the sum of the three angles of a triangle will have a value of 180º. Therefore If two of the angles of a triangle were right, that is, they measured 90º, the third angle would be 0º, that is, it would be non-existent.Therefore, it is impossible for two angles of a triangle to be right angles.
Answer:
P(x< 18) = 0.986
Step-by-step explanation:
Step 1: find the z-score using the formula, z = (x - µ)/σ
Where,
x = randomly chosen values = 18
µ = mean = 7
σ = standard deviation = 5
Proportion of the population that is less than 18 = P(x < 18)
Plug in the values into z = (x - µ)/σ, to get z-score.
z = (18 - 7)/5
z = 11/5 = 2.2
Step 2: Find P(x< 18) = P (z<2.2) using z-table.
The probability that corresponds with z-score calculated is 0.986.
Therefore,
P(x< 18) = 0.986
Answer:
125
Step-by-step explanation:
1,000/8 because all the outcomes are evenly likely
Answer:
Step-by-step explanation:
Let t represent the time it took Emanuel to drive home from college. If the total round trip took 11 hours, it means that the time it took
Emanuel to drive from home back to college would be (11 - t) hours.
Emanuel drove home from college traveling an average speed of 70 mph.
Distance = speed × time
Distance covered by driving from college to home is
70 × t = 70t
He drove back to the college the following week at an average speed of 62.7 mph.
Distance covered by driving back to college from home is
62.7(11 - t) = 689.7 - 62.7t
Since the distance travelled is the same, then
689.7 - 62.7t = 70t
70t + 62.7 = 689.7
132.7t = 689.7
t = 689.7/132.7
t = 5.19 hours.
Therefore, the time that it took Emanuel to drive from home back to college is
11 - 5.19 = 5.81 hours
Answer:
36/6 and 6/1 is equivalent
20/5 and 3/1 is not equivalent
18/3 and 9/1 is not equivalent
35/7 and 5/1 is equivalent
32/4 and 8/1 is equivalent
100/10 and 5/1 is not equivalent.
Step-by-step explanation:
36 divided by 6 is 6.
20 divided by 5 is 4.
18 divided by 3 is 6.
35 divers by 7 is 5.
32 divided by 4 is 8.
100 divided by 10 is 10.
