11.(A-CED.A.1 ) Write and solve the equation
1 answer:
Answer:
Ahmed runs 6 miles each day
Step-by-step explanation:
∵ Ahmad runs m miles each day
∵ Ali runs twice as many miles as Ahmad
→ That means Ali runs 2 × m miles each day
∴ Ali runs 2m miles each day
∵ Altogether, they run 18 miles each day
→ Add m and 2m, then equate the sum by 18
∴ m + 2m = 18
∴ 3m = 18
→ Divide both sides by 3 to find m
∵
∴ m = 6
∵ m represents the number of miles that Ahmed runs each day
∴ Ahmed runs 6 miles each day
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Using the z-table, the probability that a student taking this test will finish in 100 minutes or less is 0.0824 or 8.24%.
For a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.
First, solve for the z-score using the formula below.
z-score = (x – μ) / σ
where x = individual data value = 100
μ = mean = 125
σ = standard deviation = 18
z-score = (100 – 125) / 18
z-score = (-25) / 18
z-score = -1.39
Find the probability that corresponds to the z-score in the z-table. (see attached images)
-1.39 - (-1.3) : -1.4 - (-1.3) = x - 0.0968 : 0.0808 - 0.0968
-0.09 : -0.1 = x - 0.0968 : -0.016
x - 0.0968 = -0.09(-0.016)/-0.1
x = -0.0144 + 0.0968
x = 0.0824
x = 0.0824
Hence, the probability that a student taking this test will finish in 100 minutes or less is 0.0824 or 8.24%.
Learn more about probability here: brainly.com/question/26822684
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Answer:
Step-by-step explanation:
let denote grams of
formed in
mins.
For of
we have:
of A and
of B
Amounts of A,B remaining at any given time is expressed as:
of A and
of B
Rate at which C is formed satisfies:
Apply the initial condition, ,to the expression above
Now at :
Substitute in X(t) to get
Answer:
a
b
Step-by-step explanation:
From the question we are told that
The proportion that has outstanding balance is p = 0.20
The sample size is n = 15
Given that the properties of the binomial distribution apply, for a randomly selected number(X) of credit card
Generally the probability of finding 4 customers in a sample of 15 who have "maxed out" their credit cards is mathematically represented as
=>
Here C stand for combination
=>
Generally the probability that 4 or fewer customers in the sample will have balances at the limit of the credit card is mathematically represented as
=>