Answer:
The rectangle has a width of 4 and a height of 8
Step-by-step explanation:
Let the height of the rectangle be H and the width be W.
We know the height of the rectangle is twice the width, so:
H = 2W
The area of a rectangle, A, is given by A = W * H, so in this case:
32 = W * 2W
32 = 2W²
W² = 16
W = 4
Knowing that the width is 4, the height must be 8. This gives us an area of 32.
56% women and 44% men. To solve add total number of people (750). Divide the number of men by the number of total people to get the percent of men in decimal form (0.44) and multiply by 100 to get 44%. The remaining 56% is the amount of women.
Answer:
Fraction form: x > 1/4
Decimal form: x > 0.25
Step-by-step explanation:
Answer:
Step-by-step explanation:
f(x)=x^2 represents a parabola with vertex at (0, 0), that opens up.
If we translate this graph h units to the right, then g(x) will be:
g(x) = (x - h)^2.
If we translate the graph of f(x)=x^2 k units up, then g(x) will be:
f(x)=x^2 + k
Next time, please indicate whether you are shifting the original graph to the right or to the left, and/or up or down.
Using the binomial distribution, it is found that there is a:
a) 0.9298 = 92.98% probability that at least 8 of them passed.
b) 0.0001 = 0.01% probability that fewer than 5 passed.
For each student, there are only two possible outcomes, either they passed, or they did not pass. The probability of a student passing is independent of any other student, hence, the binomial distribution is used to solve this question.
<h3>What is the binomial probability distribution formula?</h3>
The formula is:


The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- 90% of the students passed, hence
.
- The professor randomly selected 10 exams, hence
.
Item a:
The probability is:

In which:




Then:

0.9298 = 92.98% probability that at least 8 of them passed.
Item b:
The probability is:

Using the binomial formula, as in item a, to find each probability, then adding them, it is found that:

Hence:
0.0001 = 0.01% probability that fewer than 5 passed.
You can learn more about the the binomial distribution at brainly.com/question/24863377