Answer:
Step-by-step explanation:
This is what I got
Answer: in order to qualify, the time must be at least 15.93 minutes
Step-by-step explanation:
Let x be a random variable representing the average response times of fire departments to fire calls. Since it follows a normal distribution, we will determine the z score by applying the formula,
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = population standard deviation
From the information given,
µ = 12.8 minutes
σ = 3.7 minutes
in order to qualify for the special safety award, the probability value would be to the right of the z score corresponding to 80%
The z score corresponding to 80% on the normal distribution table is 0.845
Therefore,
0.845 = (x - 12.8)/3.7
0.845 × 3.7 = x - 12.8
3.13 = x - 12.8
x = 12.8 + 3.13 = 15.93
If we use $6.60 then 44 massages will go to be sent.
<h3>What are the ratio and proportion?</h3>
The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
For example 3/8 here 3 is the numerator and 8 is the denominator the value of the fraction will be less than 1 or greater than it depends upon the numerator and denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
Given that,
$9.75 ⇔ 65 text massages
Divide by 9.75
$1 ⇔ 6.67 massages,
Multiply by 6.60
$6.60 ⇔ 44 text messages.
Hence "If we use $6.60 then 44 massages will go to be sent".
For more information about ratio and proportion,
brainly.com/question/26974513
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If p||q then, m∠1=m∠3
9x = 117
x = 117/9
x = 13
