We know that d equals the dollar amount needed to buy one hundred seventy-six tickets.
2 answers:
Answer:
d = 110
Step-by-step explanation:
From the table of values given, we know that the ratio of dollar to ticket is 5 : 8.
Therefore, the amount of dollar to 176 dollars would be d : 176.
Using this proportion, we can find the value of d as shown below:
5 : 8 = d : 176
Multiply both sides by 176
d = 110
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Answer:
The probability that all 70 messages are transmitted in less than 12 minutes is 0.117.
Step-by-step explanation:
Let <em>X</em> = the transmission time of each message.
The random variable <em>X</em> follows an Exponential distribution with parameter <em>λ</em> = 5 minutes.
The expected value of <em>X</em> is:
The variance of <em>X</em> is:
Now define a random variable <em>T</em> as:
T = X₁ + X₂ + ... + X₇₀
According to a Central limit theorem if a large sample (<em>n</em> > 30) is selected from a population with mean μ and variance σ² then the sum of random variables <em>X</em> follows a Normal distribution with mean, and variance,
.
Compute the probability of T < 12 as follows:
*Use a <em>z</em>-table for the probability.
Thus, the probability that all 70 messages are transmitted in less than 12 minutes is 0.117.
Answer:
Only one solution.
Step-by-step explanation:
We have to solve for x from a linear single variable equation of x.
We have to determine the number of the solution of the given equation.
The equation is
⇒ x + 12 = 8x - 2
⇒ 7x = 14
⇒ x = 2
So, there is only one solution of the given equation of x. (Answer)
The answer will be 17 tons.
Step-by-step explanation:
Since we have given that
14 T 1,000 lb. + 2 T 1,000 lb.
As we know that
So, 14 T 1,000 lb. is given by
Similarly,
so,
2T 1,000 lb. is given by
So, 14 T 1,000 lb. + 2 T 1,000 lbs is given by
Hence, the answer will be 17 tons.