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ikadub [295]
2 years ago
12

Nelson Mandela was a South African politician known for fighting racism and inequality. He was president of South Africa until h

e stepped down in the year 199919991999. Let xxx represent any year. Write an inequality in terms of xxx and 199919991999 that is true only for values of xxx that represent years after the year that Nelson Mandela stepped down from his presidency.
Mathematics
2 answers:
user100 [1]2 years ago
6 0
One possible inequality would be

1999-x<0.

If you subtract any year after he stepped down from 1999, the year he stepped down, the result will be a negative number.
Lady bird [3.3K]2 years ago
4 0
We know Nelson was president in the year 1999. If x, represents any year at all then we have to write an equality to represent years after the year that Nelson stepped down from the presidency.

1999-x<0

Because 1999 has to be less than the value it is up for. Any year after 1999 would be greater than 1999. This has to be a negative number because if you subtract any year after he stepped down the result will have to be negative, because the year will be after 1999. Hope this helps!
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In choice situations of this type, subjects often exhibit the "center stage effect," which is a tendency to choose the item in t
victus00 [196]

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

The probability that he or she would choose the pair of socks in the center position is   p =\frac{1}{5}

The correct answer choice is

X has a binomial distribution with parameters n=100 and p=1/5  

b

The mean is  \mu = 20

The standard deviation is \sigma=4

c

The probability, P =0.0002

d

The correct answer is

The experiment supports the center stage effect. If participants were truly picking the socks at random, it would be highly unlikely for 34 or more to choose the center pair.

Using the R the probability Pe = 0.0003

The probabilities P \approx Pe

Step-by-step explanation:

Since the person selects his or her desired pair of socks at random , then the probability that the person would choose the pair of socks in the center position from all the five identical pair is mathematically evaluated as

                  p =\frac{1}{5}

                    =0.2

The mean of this distribution is mathematical represented as

           \mu = np

substituting the value

         \mu = 100 * 0.2

             \mu = 20

The standard deviation is mathematically represented as

         \sigma = \sqrt{np (1-p)}

substituting the value

           = \sqrt{100 * 0,2 (1-0.2)}

           \sigma=4

Applying normal approximation the probability that 34 or more subjects would choose the item in the center if each subject were selecting his or her preferred pair of socks at random would be mathematically represented as

               P=P(X \ge 34 )

By standardizing the normal approximation we have that

              P(X \ge 34) \approx P(Z \ge z)

Now z is mathematically evaluated as

               z = \frac{x-\mu}{\sigma }

Substituting values

             z = \frac{34-20}{4}

               =3.5

So  using the z table the P(Z \ge 3.5) is  0.0002

The probability P and Pe that 34 or more subject would choose the center pair is very small  So

The correct answer is

The experiment supports the center stage effect. If participants were truly picking the socks at random, it would be highly unlikely for 34 or more to choose the center pair.

 

6 0
2 years ago
A pound of oranges costs $2 less than a pound of pears. Together, ten pounds of oranges and eight pounds of pears cost $61. How
Thepotemich [5.8K]

Let us say that:

o = cost of oranges per pound

p = cost of pears per pound

 

so that:

o = p – 2

 

Therefore:

10o + 8p = 61

10 (p – 2) + 8p = 61

10p – 20 + 8p = 61

18p = 81

p = 4.5

p = $4.5 per pound

 

So 3 pounds of pears would cost:

total cost = 3 * 4.5

total cost = $13.5

3 0
2 years ago
Which expression has the same value as -18÷(-9)
erma4kov [3.2K]
Negative dividing by negative gives positive,
so 18:9=2
6 0
2 years ago
Read 2 more answers
Triangle ABC was dilated and translated to form similar triangle A'B'C'.
Hunter-Best [27]
Dilation refers to a non rigid motion where a figure is transform and its image has the same form but a different size measure.

On this exercise is asked to find the scale factor by which the triangle ABC was 
dilated to produce the triangle A'B'C'. 
Dilation is define by the rule (x,y)-- (kx, ky) where k represents the scale factor.

As can be see on the picture the dilation produce was an enlargement meaning that the image is larger that the preimage.
Of this form you can discard the choices A and B as possible solutions.

Lets try 5/2 as the possible scale factor:
(x,y)-- (kx, ky)
A(0,2)--(5/2(0),5/2(2))=A'(0,5)
B(2,2)--(5/2(2),5/2(2))=B'(5,5)
C(2,0)--(5/2(2),5/2(0))=C'(5,0)

Lets try 5/1 or 5 as the scale factor:
A(0,2)--(5(0),5(2))=A'(0,10)
B(2,2)--(5(2),5(2))=B'(10,10)
C(2,0)--(5(2),5(0))=C'(10,0)

As said at the beginning of the question the triangle was not only dilated.
After a dilation and a translation, the scale factor of the dilation is letter C or 5/2.  

3 0
2 years ago
Read 2 more answers
Write an equation for “a number decreased by -4 is equal to 15”. Then solve the equation.
Alexxx [7]

Answer:

c

Step-by-step explanation:

6 0
2 years ago
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