Answer: C. 17.5 feet
Step-by-step explanation:
The attached photo shows the triangle ABC formed by the ladder and the wall. It is a right angle triangle because one of its angles is 90 degrees. The ladder is the hypotenuse of the triangle. To determine the height of the wall, we would find BC by applying Pythagoras theorem
Hypotenuse^2 = opposite ^2 + adjacent^2
18^2 + 4.5^2 + BC^2
BC^2 = 324 - 20.25 = 303.75
BC = √303.75 = 17.5 feet.
Answer:
-16x + 14 4/5
Step-by-step explanation:
Perform the indicated multiplication. We get:
2x + 14 - 18x + 4/5
Next, combine like terms: We get:
-16x + 14 4/5
Answer: 0.935
Explanation:
Let S = z-score that has a probability of 0.175 to the right.
In terms of normal distribution, the expression "probability to the right" means the probability of having a z-score of more than a particular z-score, which is Z in our definition of variable Z. In terms of equation:
P(z ≥ S) = 0.175 (1)
Equation (1) is solvable using a normal distribution calculator (like the online calculator in this link: http://stattrek.com/online-calculator/normal.aspx). However, the calculator of this type most likely provides the value of P(z ≤ Z), the probability to the left of S.
Nevertheless, we can use the following equation:
P(z ≤ S) + P(z ≥ S) = 1
⇔ P(z ≤ S) = 1 - P(z ≥ S) (2)
Now using equations (1) and (2):
P(z ≤ S) = 1 - P(z ≥ S)
P(z ≤ S) = 1 - 0.175
P(z ≤ S) = 0.825
Using a normal distribution calculator (like in this link: http://stattrek.com/online-calculator/normal.aspx),
P(z ≤ S) = 0.825
⇔ S = 0.935
Hence, the z-score of 0.935 has a probability 0.175 to the right.
Answer:
920 points.
Step-by-step explanation:
We have been given that the mean score for a standardized test is 800 and the standard deviation is 120. To qualify for a special summer camp for accelerated students, a student must score within the top 16% of all scores on the test.
First of all we will find probability of 0.16 using normal distribution table.
Using normal distribution our Z score will be 0.994458
Now we will use raw-score formula to find the score (x) that a student must make to qualify for summer camp.
Upon substituting our given values in above formula we will get,
Upon rounding to nearest whole number we will get,
Therefore, a student must make 920 points to qualify for summer camp.
Answer:
The answer is A. 105
Step-by-step explanation:
it's more tilted so it can't be a lower number, the only option is 105
