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solong [7]
2 years ago
12

Question choices: A: I, IV B: II, III, IV C: III, IV D: II, III

Mathematics
1 answer:
gulaghasi [49]2 years ago
4 0

0Answer:

A

Step-by-step explanation:

Find the zeros by letting y = 0 , that is

x² - x - 6 = 0 ← in standard form

(x - 3)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x + 2 = 0 ⇒ x = - 2

Since the coefficient of the x² term (a) > 0

Then the graph opens upwards and will be positive to the left of x = - 2 and to the right of x = 3 , that is in the intervals

(-∞, - 2) and (3, ∞ ) → option A

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The line plot shows the number of letters in the last name of 12 children.
Ainat [17]

Answer:

The mode is 9 letters: True

The median is 7.5 letters: True

The mean is 7 letters: False

The graph is skewed right with an outlier of 2: False

Step-by-step explanation:

1) The mode is 9 letters. (True)

The mode is the value that shows up the most. 9 letters shows up the most as the length of a child's last name.

2) The median is 7.5 letters. (True)

The median is one of the middle points of a data set. This can be found by writing out all of the results from least to greatest, and crossing out each number starting from the ends.

2, 6, 6, 7, 7, 7, 8, 8, 9, 9, 9, 9

Once you meet in the middle, you should be left with 7 and 8. In this case, we find the mean of the two numbers, which is 7.5. (In cases where the data set has an odd amount - if there were 13 children instead of 12), you'd just use the middle piece of data.

3) The mean is 7 letters. (False)

The mean is also a middle point of a data set. However, this one is different. The mean can be found by adding up all of the numbers in the data set (2+6+6+7+7+7+8+8+9+9+9+9) and then dividing that number by the amount of numbers are in the data set. Setting this up as an expression would look like: \frac{2+6+6+7+7+7+8+8+9+9+9+9}{12}. By plugging this into a calculator you'd get 7.25 instead of just 7.

4) The graph is skewed right with an outlier of 2.

Although the outlier of 2 part of the statement is correct, the graph is not skewed right; it is skewed left.

5 0
1 year ago
Carol's starting pay for her summer job is $10.25 per hour. Carol earns exactly 3 raises this summer.
kvv77 [185]
She starts off with $10.25 and gets a raise of $0.50, so she earns $10.75 per hour. Then she gets a raise of 10%, so then 10.75 x 0.10 = 1.075, so she earns $11.825 per hour. Then her third raise is $0.50 so she earns $12.325 per hour. The raise for next summer is 5%, so 12.325 x 0.05 = 0.61625, so she earns $12.94125.
She will earn about $12.94 per hour starting off next summer.
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3 years ago
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raketka [301]
52÷8=6.5

This is because 8 can go into 52, six times then your decimal pops up.

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3 years ago
Solve 2 3/4a=19 1/4
melamori03 [73]
2 3/4a=19 1/4
÷2 3/4    ÷2 3/4
a=1/7
8 0
3 years ago
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