Answer:
8:02 AM
Step-by-step explanation:
Find out how many minutes it takes to travel one mile:
60 divided by 45= 1.333334 minutes
It takes 1.333334 minutes to travel 1 mile, how long will it take to travel 100 miles:
1.333 times 100 = 133.3334
133.3334 rounds to 133 minutes
Add 15 minutes because you want to arrive early
133+15=148
Divide it by 60
148 divided by 60 = 2.466667
or do
148-120 (2 hours) = 28 minutes
It will take 2 hours and 28 minutes to get there
10:30-2:28= 8:02
Answer:
x = 136/35; y = -⁹/₁₀
Step-by-step explanation:
(1) 7x + 8y = 20
(2) 7x – 2y = 29 Subtract (2) from (1)
10y = -9 Divide each side by 10
(3) y = -⁹/₁₀ Substitute (3) into (1)
7x - 2(-⁹/₁₀) = 29
7x + 18/10 = 29 Subtract 18/10 from each side
7x = 29 - 18/10
7x = (290 - 18)/10
7x = 272/10 Divide each side by 7
x = 272/70
x = 136/35
x = 136/35; y = -⁹/₁₀
Check:
(1) 7(136/35) + 8(-⁹/₁₀) = 20
136/5 - 72/10 = 20
136/5 - 36/5 = 20
100/5 = 20
20 = 20
(2) 7(136/35) – 2(-⁹/₁₀) = 29
136/5 + 18/10 = 29
136/5 + ⁹/₅ = 29
145/5 = 29
29 = 29
1/7 the speed of a cheetah is 10 mph because an average cheetah can run 70 miles per hour. This means time to do some division. Envision the denominator of 1/7 (7) as 70 and then the numerator (1) should be 10. Divide 70 by 7 should be 10. Hope this helps.
Answer:
4.924 years
Step-by-step explanation:
Lets denote X the lifetime of a tv tube (In years). X has distribution
, with
unknown.
We know that P(X < 4) = 0.2. Using this data, we can find the value of
throught standarization.
Lets call
the standarization of X. Z has distribution N(0,1), and its cummulative function,
is tabulated. The values of
can be found in the attached file.

The value q such that
doesnt appear on the table. We can find it by using the symmetry of the normal density function. The opposite of q, -q must verify that
, hence -q must be equal to 0.84. Thus, q = -0.84
But this value of q should match with the number
, so we have



Thus, the expected lifetime of TV tubes is 4.924 years.
I hope this works for you!
Answer:
<h2>The length of RT is 3.6 units.</h2>
Step-by-step explanation:
In the image attached, you can observe a representation of the problem.
Notice that we have two parallel lines with two transversal. That means we can use the proportionality theorem to create the following expression

Where
,
and
.
Replacing all values, and solving for the unknown quantity, we have


Therefore, the length of RT is 3.6 units.