Using it's concept, it is found that there is a 0.5 = 50% probability that one of the fair number cubes is a 1.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
The outcomes of the pair of cubes that result in a sum of 5 are as follows:
(1,4), (2,3), (3,2), (4,1).
Of those 4 outcomes, 2 involve a number 1, hence the probability is given by:
p = 2/4 = 0.5.
More can be learned about probabilities at brainly.com/question/14398287
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Answer:
167.10
Step-by-step explanation:
Here, we write out the general form for an exponential equation;
y = I (1 + r)^n
where y is the current value which we want to calculate
I is the initial value which is 160
r is the growth rate = 0.65% = 0.65/100 = 0.0065
402 minutes to hours will be 402/60 = 6.7 hours which is n
Substituting these values, we have
y = 160( 1 + 0.0065)^6.7
y = 160(1.0065)^6.7
y = 167.10
Answer:
-6 ≤ x ≤ 16
Step-by-step explanation:
First, apply absolute value rule:
x - 5 ≤ 11 and x - 5 ≥ -11
Then, we add 5 on both sides with both inequalities:
x ≤ 16 and x ≥ -6
Finally, combine the inequalities:
-6 ≤ x ≤ 16
And we're done ^^
Answer:
10.1 years.
Step-by-step explanation:
It is given that,
Principal = 9000
Rate of interest = 5%
No. of times interest compounded = 2 times in an year
Amount after certain time = 14800
The formula for amount:
where, P is principal, r is rate of interest, n is no. of times interest compounded in an year and t is time in years.
Substitute the given values in the above formula.
Taking log both sides.
![[\because \log a^b=b\log a]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Clog%20a%5Eb%3Db%5Clog%20a%5D)
Therefore, the required time is 10.1 years.
The simplified polynomial that represents how many more economy cars are rented in w weeks than full-size cars is 53 - w.
<h3>Linear equation:</h3>
Linear equation is an equation in which the highest power of the variable is equals to one.
Therefore, the number of economy-size cars rented in w weeks is represented as follows:
The number of full-size cars rented in w weeks is represented as follows:
where
w = number of weeks
A simplified polynomial that represents how many more economy cars are rented in w weeks than full-size cars is as follows:
- 152 + 3w - (99 + 2w)
- 152 + 3w - 99 - 2w
- 53 - w
learn more on polynomial here: brainly.com/question/2566362
