Answer: 44%
Step-by-step explanation:
There are 25 squares in the rectangle. This means that the percentage of each square is:
= 1/25 * 100
= 4%
There are 11 shaded squares so the percentage represented is:
= 11 * 4%
= 44%
Answer:
7 (units)
Step-by-step explanation:
If E is placed at the number 6- then it would take 6 to get to 0. If B is placed at -1, then it would be one more backward to get to B- so it would take 7 to get from E to B.
Sin(x)=40/50
x= sin^-1(40/50)
x= 53.1301023542—>53.1 rounded to the nearest tenth
angle of elevation is 53.1
Answer:
The heaviest 5% of fruits weigh more than 747.81 grams.
Step-by-step explanation:
We are given that a particular fruit's weights are normally distributed, with a mean of 733 grams and a standard deviation of 9 grams.
Let X = <u><em>weights of the fruits</em></u>
The z-score probability distribution for the normal distribution is given by;
Z =
~ N(0,1)
where,
= population mean weight = 733 grams
= standard deviation = 9 grams
Now, we have to find that heaviest 5% of fruits weigh more than how many grams, that means;
P(X > x) = 0.05 {where x is the required weight}
P(
>
) = 0.05
P(Z >
) = 0.05
In the z table the critical value of z that represents the top 5% of the area is given as 1.645, that means;



x = 747.81 grams
Hence, the heaviest 5% of fruits weigh more than 747.81 grams.
25 = 5*5 and 9 = 3*3, which we can exploit to write

so that this expression is actually a difference of squares. We can factorize this to get

and given that
, we divide both sides by this to get
