Answer:
The Area of the parallelogram = 144 m²
Step-by-step explanation:
<u><em>Formula</em></u>:
Area of a parallelogram = b × h
Where , b is the base of the parallelogram
and h is its height.
………………………………
In our case :
b = 12 ; h = 12
Then
The Area of the parallelogram = 12 × 12 = 144 m²
Question 1: <span>
The answer is D. which it ended up being <span>
0.9979</span>
Question 2: </span>
The expression P(z > -0.87) represents the area under the standard normal curve above a given value of z. What is P(z > -0.87)? Express your answer as a decimal to the nearest ten thousandThe expression P(z > -0.87) represents the area under the standard normal curve above a given value of z. What is P(z > -0.87)? Express your answer as a decimal to the nearest ten thousandth (four decimal places). So being that rounding it off would mean your answer would be = ?
Question 3: <span>
Assume that the test scores from a college admissions test are normally distributed, with a mean of 450 and a standard deviation of 100. a. What percentage of the people taking the test score between 400 and 500?b. Suppose someone receives a score of 630. What percentage of the people taking the test score better? What percentage score worse?c. A university will not admit a student who does not score in the upper 25% of those taking the test regardless of other criteria. What score is necessary to be considered for admission? </span>
z = 600-450 /100 = .5 NORMSDIST(0.5) = .691462<span><span>
z = 400-450 /100 = -.5 NORMSDIST(-0.5) = .30854
P( -.5 < z <.5) = .691462 - .30854 = .3829 Or 38.29%
Receiving score of 630:
z = 630-450 /100 = 1.8 NORMSDIST(1.8) = .9641
96.41% score less and 3.59 % score better
upper 25%
z = NORMSINV(0.75)= .6745
.6745 *100 + 450 = 517 Would need score >517 to be considered for admissions
</span><span>
Question 4: </span>
The z-score for 45cm is found as follows:</span>
Reference to a normal distribution table, gives the cumulative probability as 0.0099.<span>
Therefore about 1% of newborn girls will be 45cm or shorter.</span>
Answer:
Step-by-step explanation:
surface area of sphere=4πr²=4π×12²=576π
≈576×3.1416
≈1809.5616 cm²
cost to cover=1809.5616×0.05=$90.47808≈$90.48
So you have
8 digits (number available) to form
3 digit numbers (number selected).
Using the formula
where a is the number of available digits, P is the permutation function and c is the number of digits to be selected.
The number of three digit numbers that can be formed =
=
336 <span>
O R</span>By using the formula
where a is the number of available digits and c is the number of digits to be selected.<span>
</span>⇒
<span>
</span>⇒
<span>
</span>⇒ Permutation =
336<span>
</span>
The answer is 9x -27 because I distribute
