Answer:
Probability that the student scored between 455 and 573 on the exam is 0.38292.
Step-by-step explanation:
We are given that Math scores on the SAT exam are normally distributed with a mean of 514 and a standard deviation of 118.
<u><em>Let X = Math scores on the SAT exam</em></u>
So, X ~ Normal(
)
The z score probability distribution for normal distribution is given by;
Z = 
~ N(0,1)
where, 
= population mean score = 514
= standard deviation = 118
Now, the probability that the student scored between 455 and 573 on the exam is given by = P(455 < X < 573)
P(455 < X < 573) = P(X < 573) - P(X 
455)
P(X < 573) = P( < 
) = P(Z < 0.50) = 0.69146
P(X 2.9) = P( 
) = P(Z -0.50) = 1 - P(Z < 0.50)
= 1 - 0.69146 = 0.30854
<em>The above probability is calculated by looking at the value of x = 0.50 in the z table which has an area of 0.69146.</em>
Therefore, P(455 < X < 573) = 0.69146 - 0.30854 = <u>0.38292</u>
Hence, probability that the student scored between 455 and 573 on the exam is 0.38292.
Answer: The probability of picking 7 and then picking a number greater than 7 is 
or 0.3
Step-by-step explanation: Probability
Probability shows us the chances of an event occurring.
Now, given that we have already picked three cards. therefore, 7, 8, and 9.
The number of possible outcomes is 3.
the probability of card 7,
Now, as card seven is already picked up cards 8 and 9 are the only card left.
therefore, the sample size(possible outcomes) was reduced to 2 only.
Also, cards 8 and 9 both are greater than 7, thus the desired outcome is also 2.
Further the probability of the number greater than 7 occurring,
Probability picking a number greater than 7
The probability of picking a 7 and then picking a number greater than 7
= Probability of card 7 occurring x probability of card 8 and 9 occurring.
You're welcome. Pls give me brainiest
If the question is asking how many trees can be planted with 6 cubic yards of compost, here is the solution.
6 divided by 1/6 means to take 6 wholes and break them into groups the size of 1/6.
One whole can be broken into 6 groups of 1/6 (6/6), so 6 wholes can be broken into 36 groups of 1/6 (6 x 6 = 36/6).
Mathematically, you will multiply 6 by 6/1 to get the 36.
You can plant 36 trees with 6 cubic yards of compost.
Answer:
The area of the sector is 
Step-by-step explanation:
step 1
Find the area of the circle
The area of the circle is equal to
we have
----> the radius is half the diameter
substitute
step 2
Find the area of a sector with a central angle of (2pi/3)
Remember that
The area of 
subtends a central angle of 
so
by proportion
Let
x----> the area of the sector
