Answer:
51.60% probability that a randomly selected adult has an IQ between 86 and 114.
Step-by-step explanation:
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.
In this problem, we have that:
Find the probability that a randomly selected adult has an IQ between 86 and 114.
Pvalue of Z when X = 114 subtracted by the pvalue of Z when X = 86. So
X = 114
has a pvalue of 0.7580
X = 86
has a pvalue of 0.2420
0.7580 - 0.2420 = 0.5160
51.60% probability that a randomly selected adult has an IQ between 86 and 114.
Answer:
3/4 X -6/7 = -18/28 = -9/14
Step-by-step explanation:
According to the given cubic equation 8x³-10x² - 21x + 18 = 0 the other value of x will be 4.
<h3>How does one solve a three-degree equation?</h3>
Traditionally, a cubic problem can be solved by converting it to a quadratic equation and then solving it using factoring or the quadratic formula. A cubic equation, like a quadratic equation, has three roots.
<h3>What is the simplest method for solving a cubic equation?</h3>
The typical strategy for solving a cubic problem is to convert it to a quadratic equation and then solve the quadratic using the standard methods, either factoring or using the formula. All of them are cubic equations. A cubic equation, like a quadratic equation, may have two or three real roots.
<h3>According to the given data:</h3>
8x³-10x² - 21x + 18 = 0
x= 2
substituting the value in the equation we get:
8x³-10x² - 21x + 18 = 0
8(2)³-10(2)² - 21(2) + 18 = 0
68 - 40 - 42 + 18 = 0
4 = 0
According to the given equation 8x³-10x² - 21x + 18 = 0 the other value of x will be 4.
To know more about cubic equation visit:
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Answer:
{ 11, 19, 27, 35 }
Step-by-step explanation:
To find the range substitute each value of x from the domain into the relation
x = 3 : y → 4(3) - 1 = 12 - 1 = 11
x = 5 : y → 4(5) - 1 = 20 - 1 = 19
x = 7 : y → 4(7) - 1 = 28 - 1 = 27
x = 9 : y → 4(9) - 1 = 36 - 1 = 35
range is { 11, 19, 27, 35 }
Answer:
Volume = 350 inches cubed
Volume = 1.515151.. gal
Step-by-step explanation:
I'm replying to this one so I can show you the steps (whether you look at them or not).
..check the image. I couldn't write everything I wanted to write by typing it out. I hope that helps. Sorry the handwriting is bad, I can't write well on the computer.
