Answer:
464 feet
Step-by-step explanation:
<em>The Sine of the angle of inclination gives the increase in altitude.</em>
<em>This is because the Sine of an angle is equal to the Opposite side divided by the Hypotenuse side. i.e</em>
Sin Ф = Opposite ÷ Hypotenuse
Sin 5° = O ÷ 5328
0·08716 = O ÷ 5328
<em>Make </em>O<em> the subject and multiply every fraction by </em>5328
(0·08716/1 × 5328)= (O/5328 × 5328)
464·388 = O
∴ The increase in altitude is 464·388 feet
<em>This is supposed to be to the nearest foot so we round off</em>
464·388 becomes 464 feet
82 times 0.35
the answer is 28.7
The correct form of expression after solving the errors is :
-5.83b + 24
Given Margie's work for adding linear expressions are:
the expression is (−1.56b + 10) − (4.27b − 14)
step 1: −1.56b + 10 + (−4.27b) + 14
In the first step of margie, she did not used the proper method of opening the brackets.
The negative sign is used to multiply the terms inside the brackets.
so the correct step is:
step 1: -1.56b + 10 - 4.27b + 14
in the next step arrange the variables and constants.
step 2 : -1.56b - 4.27b +10 + 14
next add the variables and the constants:
step 3: (-1.56b - 4.27b) +(10 + 14)
step 4: -5.83b + 24
Hence we get the required results.
Learn more about Solving expressions here:
brainly.com/question/723406
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Answer:
0.0228 = 2.28% probability that a randomly selected firm will earn more than Arc did last year
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Suppose the mean income of firms in the same industry as Arc for a year is 45 million dollars with a standard deviation of 7 million dollars
This means that 
What is the probability that a randomly selected firm will earn more than Arc did last year?
Arc earned 59 million, so this is 1 subtracted by the pvalue of Z when X = 59.
has a pvalue of 0.9772
1 - 0.9772 = 0.0228
0.0228 = 2.28% probability that a randomly selected firm will earn more than Arc did last year
