Complete Question :
An apple turnover is in the shape of a right triangle. What is MP rounded to the nearest tenth? NP 4.73 cm PO = 9.08 approximately cm (Image attached)
Answer:
<u>MP = 6.5535 cm</u>
Step-by-step explanation:
<h3><u>
I have attached the explanation in the attachment below.</u></h3>
Hey there!
c² = 5c
Subtract 5c from both sides:
c² - 5c = 5c - 5c
Simplify :
c² - 5c = 0
c = 5 , c = 0
For slope-intercept form is y=mx+b
Therefore the answer should be:
y=-4x+7
Answer:
P(X > 0.3) = 0.3897
Step-by-step explanation:
Normal probability distribution:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central limit theorem:
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation , the sample means with size n of at least 30 can be approximated to a normal distribution with mean and standard deviation
Applying the central limit theorem:
P( > 0.3)
This is 1 subtracted by the pvalue of Z when X = 0.3. So
By the Central Limit Theorem
has a pvalue of 0.6103
1 - 0.6103 = 0.3897
So
P(X > 0.3) = 0.3897
The area of a rectangle is the multiplication of its width times its length, that is:
area = width*length
We have to write as an equation the information about the relationship between the width and the length, they say the width is 1/4 of the lenght, this is:
width = lenght/4
now we substitute the data we have:
area = width*length
144 = (length/4)*length
length^2 = 4*144 = 576
the length is raised to the second power because we had to multiply length*length, so to solve the last equation we had to take the square root to both sides:
length = √576
<span>length = 24
</span>so the length of the banner is 24 feet, and we know that:
<span>width = lenght/4
</span><span>width = 24/4
</span>width = 6
so the width is 6 feet