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Alchen [17]
2 years ago
5

If x3=64 and y3=125, what is the value of y−x?

Mathematics
1 answer:
Verdich [7]2 years ago
3 0

Answer:First we use equation 1

x=64/3

Second we solve equation 2

y=125/3

Now combine equation 1 and 2

y-x=125/3 -64/3

=61/3

Step-by-step explanation:

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In general, the probability that a blood donor has Type A blood is 0.40.Consider 8 randomly chosen blood donors, what is the pro
postnew [5]

Answer:

The probability that more than half of them have Type A blood in the sample of 8 randomly chosen donors is P(X>4)=0.1738.

Step-by-step explanation:

This can be modeled as a binomial random variable with n=8 and p=0.4.

The probability that k individuals in the sample have Type A blood can be calculated as:

P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{8}{k} 0.4^{k} 0.6^{8-k}\\\\\\

Then, we can calculate the probability that more than 8/2=4 have Type A blood as:

P(X>4)=P(X=5)+P(X=6)+P(X=7)+P(X=8)\\\\\\P(x=5) = \dbinom{8}{5} p^{5}(1-p)^{3}=56*0.0102*0.216=0.1239\\\\\\P(x=6) = \dbinom{8}{6} p^{6}(1-p)^{2}=28*0.0041*0.36=0.0413\\\\\\P(x=7) = \dbinom{8}{7} p^{7}(1-p)^{1}=8*0.0016*0.6=0.0079\\\\\\P(x=8) = \dbinom{8}{8} p^{8}(1-p)^{0}=1*0.0007*1=0.0007\\\\\\\\P(X>4)=0.1239+0.0413+0.0079+0.0007=0.1738

3 0
2 years ago
Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2
olga55 [171]

Answer:

x^2 + (y – 3)^2 = 36

Step-by-step explanation:

The standard equation of a circle with center at (h, k) and radius r is

(x - h)^2 + (y - k)^2 = r^2.

If the center lies on the y-axis, then h = 0:  (x - 0)^2 + (y - k)^2 = r^2

If the circle diameter is 12, then the circle radius is 6, and so r^2 = 36

So, among the given equations, your

x^2 + (y – 3)^2 = 36 is correct (but only if you use " ^ " for exponentiation).

3 0
2 years ago
Read 2 more answers
On a very hot summer day, 5 percent of the production employees at Midland States Steel are absent from work. The production emp
Katyanochek1 [597]

Answer:

a) 60%

Step-by-step explanation:

This problem can be solved through binomial probability

Let's say probability of success is the probability of absent

p = 5% = 0.05

Probability of failure

q = 1-p = 0.95

The number of trial in this case is the number of employees randomly selected

n = 10

Since we are looking for 0 absent employee, we are looking for the probability that the success is nil (i.e 0)

x = 0

Binomial therorem

B(n,x,p) = B(10,0,0.05)

= C(10,0) * p^x * q^(n-x)

= 1 * (0.05^0) * (0.95^10)

= 1 * 1 * 0.95^10

= 0.59873693923

= 0.6 or 60%

6 0
2 years ago
according to the rule of 72,in about how many years will $82 be worth $41 if the rate of inflation in 5.6%?
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What is the rule?????
4 1
2 years ago
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* An ant is crawling around this cube. The cube is made of wire. Each side of the cube is 3 inches long. (Those sides are called
ladessa [460]
A cube has 12 edges and each edge is 3 inches. If the ant only crawls on the edges it would be a distance of 36 (3*12)
6 0
2 years ago
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