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3 years ago

Darren kept track of the number of e-mails he received from one of his customers each day for 14 days on the dot plot.

Mathematics

2 answers:

liraira [26]3 years ago

8 0

<span>A) The data is skewed left and shows that on half of the days, Darren received 11 or 12 e-mails from the customer.</span>

hoa [83]3 years ago

6 0

Answer: The answer is (A) The data is skewed left and shows that on half of the days, Darren received 11 or 12 e-mails from the customer.

Step-by-step explanation: Given that Darren kept track of the number of e-mails he received from one of his customers each day for 14 days on the dot plot.

We are to select the correct statement out of the given options about the dot plot.

Since the dot plot has a long tail on the left side of the plot, so the data will be skewed left. Also, for 7 days that is half of 14 days, the number of e-mails received by Darren were 11 or 12.

Thus, the correct option is (A).

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Which statements are true about the ordered pair (10, 5) and the system of equations?

Alexeev081 [22]

Answer:

Step-by-step explanation:

We have the system of equations:

$\left\{\begin{array}{ll}2x-5y=-5 \\ x+2y=11\end{array}$

And an ordered pair (10, 5).

In order for an ordered pair to satisfy any system of equations, the ordered pair must satisfy both equations.

So, we can eliminate choices A and B. Satisfying only one of the equations does not satisfy the system of equations.

Let’s test the ordered pair. Substituting the values into the first equation, we acquire:

$2(10)-5(5)\stackrel{?}{=}-5$

Evaluate:

$20-25\stackrel{?}{=}-5$

Evaluate:

$-5\stackrel{\checkmark}{=} -5$

So, our ordered pair satisfies the first equation.

Now, we must test it for the second equation. Substituting gives:

$(10)+2(5)\stackrel{?}{=} 11$

Evaluate:

$20\neq 11$

So, the ordered pair does not satisfy the second equation.

Since it does not satisfy both of the equations, the ordered pair is not a solution to the system because it makes at least one of the equations false.

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2 years ago

How can csc^2-cot^2 = 1?

Softa [21]

ANSWER

By simplifying the left hand side using the Pythagorean Identity.

EXPLANATION

The given identity is

$\csc^{2} (x) - \cot^{2} (x) = 1$