Y-4=1/4*(x-1)²
<span>y=1/4(x-1)²+4
</span><span>the parabola y=1/4x2 with vertex at the point (1;4),the branches up,x=1 is the axis of symmetry intersects the axis of the OY at the point (0;4 1/4)
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Using the binomial distribution, it is found that there is a 0.056 = 5.6% probability that more than 7 will make a purchase.
<h3>What is the binomial distribution formula?</h3>
The formula is:
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- There are 12 customers, hence n = 12.
- The probability of any of them making a purchase is of p = 0.4.
The probability that more than 7 will make a purchase is given by:
P(X > 7) = P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12).
Hence:
Then:
P(X > 7) = P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) = 0.042 + 0.012 + 0.02 + 0 + 0 = 0.056.
0.056 = 5.6% probability that more than 7 will make a purchase.
More can be learned about the binomial distribution at brainly.com/question/24863377
Answer:
9.33 cm
Step-by-step explanation:
V= whl
w=7/3 or 2.3333333
h=2
l=2
V= 9.33 cm
4x² - 100 = 0
<u> + 100 + 100</u>
<u> 4x²</u> = <u>100</u>
4 4
x² = 25
x = <u>+</u>5
4(5)² - 100 = 0
4(25) - 100 = 0
100 - 100 = 0
0 = 0
4(-5)² - 100 = 0
4(25) - 100 = 0
100 - 100 = 0
0 = 0
The roots of the equation is positive or negative 5.
