Step 1: 13+5x=30
step 2: subtract 13 from both sides; then youd get 5x=17
step 3: divide by 5
step 4: x=3.4
i hope this is what you were looking for
The radius of the circle is 24
Answer:
A)Option D
B)P(X = 15) = 0.1325
Step-by-step explanation:
A) From the question, the information given follows binomial distribution because there are two mutually exclusive outcomes for each trial, there is a fixed number of trials. The outcome of one trial does not affect the outcome of another, and the probability of success is the same for each trial.
So option D is correct.
B) From the question, we are told that the poll reported that 66 percent of adults were satisfied with the job. Thus, probability is; p = 0.66
Let X be the number of adults satisfied with the job. Since 25 are selected,
Thus;
P(X = 15) = C(25, 15) * (0.66)^(15) * (1 - 0.66)^(25 - 15)
P(X = 15) = 3268760 × 0.00196407937 × 0.00002064378
P(X = 15) = 0.1325
Answer:
<em>128</em>
Step-by-step explanation:
<em>Method A.</em>
The volume of the prism is 2 cubic units.
Each cube has side length of 1/4 unit.
The volume of each cube is (1/4)^3 cubic unit.
The volume of each cube is 1/64 cubic unit.
To find the number of cubes that fit in the prism, we divide the volume of the prism by the volume of one cube.
(2 cubic units)/(1/64 cubic units) =
= 2/(1/64)
= 2 * 64
= 128
<em>Method B.</em>
Imagine that the prism has side lengths 1 unit, 1 unit, and 2 units (which does result in a 2 cubic unit volume.) Since each cube has side length 1/4 unit, then you can fit 4 cubes by 4 cubes by 8 cubes in the prism. Then the number of cubes is: 4 * 4 * 8 = 128
the question in English
The route of a stage of a cycle tour is 213 km long and a cyclist covers 2/3 of the route in five hours.
a) How many kilometers are left to finish the stage?
b) If he continues with the same average speed, how much time does he have left to finish the stage?
Step 1
we know that
1) Total kilometers of a stage is 
2) The cyclist covers 
of the route
so
the kilometers remaining to finish the stage is equal to
therefore
<u>the answer Part a) is </u>
Step 2
<u>Find the average speed of the cyclist</u>
we know that
the speed is equal to
we have
substitute
Step 3
<u>Find the time remaining to finish the stage</u>
we know that
Solve for the time
we have
substitute
therefore
<u>the answer Part b) is</u>
