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nadezda [96]
2 years ago
6

Ms. Patel invested a total of $825 in two stocks. At the time of her investment, one share of Stock A was valued at $12.41 and a

share of Stock B was valued at $8.62. She purchased a total of 79 shares. a. Select the system of equations that model the situation. Solve by using substitution.
A)
12.41a+b=79; a+8.62b=825; a= 41, b=38
B)
a+8.62b=79; 12.41a+b=825; a=38, b=41
C)
a+8.62b=825; 12.41a+8.62b=79; a=41, b=38
D)
a+b=79; 12.41a+8.62b=825; a=38, b=41
Mathematics
1 answer:
Rom4ik [11]2 years ago
7 0

Answer:

D

Step-by-step explanation:

a+b=79(compares the number of stocks purchased)

12.41a+8.62b=825(compares the prices of the stocks purchases)

a=38, b=41

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Select the correct interpretation of the probability of getting an 11 when a pair of dice is rolled. Interpret an event as signi
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Answer:

c. Not significant at .055

Step-by-step explanation:

When a pair of dice is rolled, we have 6²=36 possible outcomes. Only 2 of these outcomes have a total score of 11:

  1. When the first dice is 5 and the second is 6.
  2. When the first dice is 6 and the second is 5.

Then, we can calculate the probability of getting 11 as the quotient between the successs outcomes and the total outcomes.

Then, the probability of getting 11 is:

P=\dfrac{X}{N}=\dfrac{2}{36}=0.055

This probability is not equal or less than 0.05, so it is not significant at 0.055.

3 0
2 years ago
Hope researches the impact of one variable on another. She graphs the data from her research and sees that the data forms a shap
BigorU [14]

The <em><u>correct answer</u></em> is:

She can determine that while there is an association between the variables, there is no correlation, and she cannot determine causation.

Explanation:

Since there is an arch shape to her graph, we know that as one variable changes, the other changes in the same manner. This means there is an association between the variables.

However, since the graph is not linear, there is no correlation between the variables. Since there is no correlation, we cannot determine causation.

6 0
2 years ago
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This table represents a quadratic function. x y 0 -3 1 -3.75 2 -4 3 -3.75 4 -3 5 -1.75 What is the value of a in the function’s
serg [7]

Answer:

a = 0.25

Step-by-step explanation:

Our strategy to solve this problem will be to use the information given in the table to obtain  first the value of c in the quadratic equation which has the form ax^2 + bx + c and then form a system of 2 linear equations  and solve for the coefficients a and b as follow:

from x=0 and y=-3   a*0 + b* 0 + c = - 3

c = -3

from x=1 and  y= -3.75

a*(1) + *(1) + (-3) = -3.75

a + b = -3.75 + 3 = -0.75

from x= 2 and y = -4

a* (2)^2 + b*(2) + (-3) = -4

4a + 2b = -4 +1

4a + 2b = -1

Now we can solve the system f equations by elimination:

a + b = -0.75

4a + 2b = -1

multiply first equation by -2 and add to the second and  get

-2a - 2b = +1.50

4a + 2b = -1

2a = 0.50 and substituting into any of the equations get b =  -1

so the quadratic equation has a= 0.25 b= -1  c= -3

we can even  plug the any of the other values for  x given in the table and check the answer.

8 0
2 years ago
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International Juice Inc. plans to introduce a new line of fruit juices with three different flavors: cherry, grape and apple. 50
Tanya [424]
Cherry sales as a % of total sales = (0.5 x 1.2)/(0.5 x 1.2 + 0.2 x 1.4 + 0.3 x 1.6) = 0.6 / (0.6 + 0.28 + 0.48) = 0.6 / 1.36 = 0.4412 = 44.12%

Therefore, 44.12% of the total sales will be cherry.
8 0
2 years ago
A recent study showed that women who lived near a freeway had an unusually high rate of rheumatoid arthritis. Sarah said, "They
mote1985 [20]

Answer:

Step-by-step explanation:

Sarah is falling for Pitfalls 5 and 6.

A statistical association does not mean causation. there must be proof to support the cause and effect and even if there were proof to support the cause and effect, extending the result about groups to an individual is not proper

6 0
2 years ago
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