Choose the ordered pair that is a solution to the system of equations. 3x - y = 9 2x + y = 6

Mathematics

1 answer:

Inessa [10]3 years ago

7 0

The answer is (3,1), hope that helps

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Alex scored 98,72, and 87 on his first three math test. What must he score on the next test to have an average of at least 86 (P

ss7ja [257]

Answer:

$\huge\boxed{\text{At least an } 87\%}$

Step-by-step explanation:

In order to find what score Alex must earn to have an average of 86 on all his tests, we need to first note what the formula to find the average of a data set is.

$\displaystyle \frac{x_1+x_2+...x_n}{n}$

What the formula means is that we have to add up all the values then divide by the total number of values.

Let's represent our unknown number as $x$ .

$\displaystyle \frac{98+72+87+x}{4} \geq 86$ (since we want AT LEAST an 86).

Let's solve this inequality for x.

$\frac{98+72+87+x}{4} \cdot 4 \geq 86 \cdot 4$
$98+72+87+x \geq 344$
$257 + x \geq 344$
$257 + x - 257 \geq 344 - 257$
$x \geq 87$

So, Alex must score at least an 87% on his next quiz to have an average of 86%.

Hope this helped!

8 0

2 years ago

9 3 -3/4 -10 1/2 -1.75 least to greatest

Mazyrski [523]

-10, -1.75, -3/4, 1/2, 3, 9

_____________________________

-3/4 converts to -0.75,

and 1/2 converts to 0.5. With -10 being farthest from zero on the number line, it would be the smallest. -1.75 would be the second smallest. Keeping in mind that -3/4 converts to -0.75, it would be the 3rd smallest. 1/2, or 0.5 would be greater, as it is the smallest POSITIVE number. Then you do 3, as it as a whole number, but still not the greatest. 9 would be the greatest.

hope i was helpful;-)

5 0

3 years ago

A random sample of size n1 = 16 is selected from a normal population with a mean of 75 and standard deviation of 8. A second ran

gavmur [86]

Answer:

the answer is in the attached image below

Step-by-step explanation: