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olchik [2.2K]
2 years ago
7

Shana, who lives in Canada, and Pearl, who lives in Pennsylvania, were discussing the weather. Shana complained about the cold t

emperature of Negative 20 degrees Celsius. Pearl, who lives in Pennsylvania, mentioned that her temperature was the opposite of Shana's. Which is the correct way to represent "the opposite of Shana's temperature is equal to Pearl's"? Negative 20 = 20 Negative (negative 20) = negative 20 Negative (20) = negative 20 Negative (negative 20) = 20
Mathematics
1 answer:
Nikolay [14]2 years ago
3 0

Answer:

<h3>Negative (negative 20) = 20</h3>

Step-by-step explanation:

Given Shana temperature = -20°C

°If Pearls temperature is opposite that of Shana's then Pearls temparature = -(-20) = 20°C

Hence the correct way to represent "the opposite of Shana's temperature is equal to Pearl's

Opposite of shana = -(-20°C)

Pearls temperature = +20°C

Since Opposite of shana = Pearls temperature, hence  -(-20°C) = 20°C

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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
The function f(t) represents the cost to connect to the Internet at an online gaming store. It is a function of t, the time in m
dolphi86 [110]

Answer:

<u>The correct answer is D. Any amount of time over an hour and a half would cost $10.</u>

Step-by-step explanation:

f (t), when t is a value between 0 and 30

The cost is US$ 0 for the first 30 minutes

f (t), when t is a value between 30 and 90

The cost is US$ 5 if the connection takes between 30 and 90 minutes

f (t), when t is a value greater than 90

The cost is US$ 10 if the connection takes more than 90 minutes

According to these costs, statements A, B and C are incorrect. The connection doesn't cost US$ 5 per hour like statement A affirms, the cost of the connection isn't US$ 5 per minute after the first 30 minutes free as statement B affirms and neither it costs US$ 10 for every 90 minutes of connection, as statement C affirms. <u>The only one that is correct is D, because any amount of time greater than 90 minutes actually costs US$ 10.</u>

3 0
2 years ago
Read 2 more answers
Which description best compares the graphs of the two functions below?
Pavlova-9 [17]
Some of your pic is cut off so it's difficult to give the exact answer.  But if you plot the points from the table you get that the equation for that set of data is linear and is y = 1/3x -2.  This tells me that the y-intercepts are the same for both equations, so your answer is not the first or the third.  Because the slope of the function A is 3 and for B is 1/3, the line for function A is steeper, the second of your choices above.
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2 years ago
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The original cost of an item is $64, but you have to pay $78.08. What is the markup of the item (as a percent)?
Neko [114]

Answer:

Step-by-step explanation:

The answer is 22 percent.

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2 years ago
Which equation combines with the given equation to form a system of equations with the solution x = 3 and y = 9? x + 2y = 21
max2010maxim [7]
Yes. x=3 and y =9 are the solutions.
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3+2* 9 =21
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2 years ago
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