Using the normal distribution, it is found that a weight of 3125 grams would given a newborn a z-score of −0.75.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean and standard deviation is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
Researching the problem on the internet, it is found that the mean and the standard deviation for the weight of newborns is given as follows:
Hence, the weight associated with Z = -0.75 is given by X:
X - 3500 = -0.75(500)
X = 3125.
More can be learned about the normal distribution at brainly.com/question/24663213
#SPJ4
Answer:
Refer to the following information on full-term births in the United States over a given period of time.
Type of Birth Number of Births
Single birth 47,200,000
Twins 600,000
Triplets 3000
Quadruplets 200
Use this information to estimate the probabilities of the following events.
(a) A randomly selected pregnant woman who reaches full term delivers twins. (Give the answer to three significant figures.)
(b) A randomly selected pregnant woman who reaches full term delivers quadruplets. (Give the answer to three significant figures.)
(c) A randomly selected pregnant woman who reaches full term gives birth to more than a single child. (Give the answer to three significant figures
-6x <= 4x + 2
Subtract 4x from both sides
-10x <= 2
Divide -10 on both sides
Final Answer: x >= -1/5
Answer:
0.8
Step-by-step explanation:
We see that there are 5 equal sections, 4 of which have beavers on them.
P(beaver) basically means that we want to find the probability of landing on a beaver; in other words, we're looking for a fraction:
(# sections you can land on a beaver) / (total # of sections)
Here, the number of sections you can land on a beaver is 4, while the total number of sections is 5. So, P(beaver) = 4/5.
Thus, the answer is 4/5, which can be written as the decimal 0.8.
Hope this helps!
Answer:
Between 1000 and 5000 snowboards will make the function AP(x) >0.
Step-by-step explanation:
Since x can only take possitive values, we have that AP(x) = P(x)/x > 0 if and only if P(x) > 0.
In order to find when P(x) > 0, we find the values from where it is 0 and then we use the Bolzano Theorem.
P(x) = R(x) - C(x) = -x²+10x - (4x+5) = -x²+6x - 5. the roots of P can be found using the quadratic formula:
Therefore, P(1) = P(5) = 0. Lets find intermediate values to apply Bolzano Theorem:
- P(0) = -5 < 0 ( P is negative in (-∞ , 1) )
- P(2) = -4+6*2-5 = 3 > 0 (P is positive in (1,5) )
- P(6) = -36+36-5 = -5 < 0 (P is negative in (5, +∞) )
The production levels that make AP(x) >0 are between 1000 and 5000 snowboards (because we take x by thousands)