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Anastaziya [24]
3 years ago
9

Which statement would be true if you evaluate the expression (560 + 70) ÷ 10?

Mathematics
1 answer:
Elena L [17]3 years ago
3 0
The first one, ten times as small and then the answer in parenthesis
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Given the function f(x) = -5x + 11 + 3, for what values of x is f(x) = -12?<br> Bleaseeeeee
Nitella [24]

Answer:

x = 5.2

Step-by-step explanation:

f(x) = -5x + 11 + 3

Let's first simplify our first function:

f(x) = -5x + 11 + 3\\f(x) = -5x + 14

Now, we just need to set this function equal to our other given function.

f(x) = -5x+14\\f(x) = -12\\-5x + 14 = -12

Now, we can add 12 to both sides:

-5x + 14 + 12 = -12 + 12\\-5x + 26 = 0

Now, add 5x to both sides:

-5x+26 = 0\\26 = 5x\\

Finally, we'll divide both sides by 5:

26/5 = 5x / 5\\5.2 = x\\x = 5.2

Answer: x = 5.2

6 0
3 years ago
Read 2 more answers
Write the fraction 29/7 as a repeating decimal
marshall27 [118]

Answer:

See below.

Step-by-step explanation:

7 ) 29.0

    = 4 1/7

= 4.142857142857.........

The 142857 repeats itself without bounds.

4 0
3 years ago
What is the equation of a circle with center (-4 2) and diameter 6?
ASHA 777 [7]

Use the general form:-

(x - a)^2 + (y - b)^2 = r^2 where (a, b) is the centre and r = radius

Here the radius = 1/2 * 6 = 3 so r^2 = 9 and we have the equation:-

(x + 4)^2 + (y - 2)^2 = 9 (answer)

7 0
3 years ago
Hannah starting playing video games as soon as she got home from school. She played video games for 20 minutes. Then, it took Ha
kap26 [50]
She got home from school at 2:45 pm
3 0
3 years ago
One year had the lowest ERA​ (earned-run average, mean number of runs yielded per nine innings​ pitched) of any male pitcher at
lord [1]

Answer:

Thomas had the better year relative to their​ peers.

Step-by-step explanation:

<u>The complete question is</u>: One year Thomas had the lowest ERA​ (earned-run average, mean number of runs yielded per nine innings​ pitched) of any male pitcher at his​ school, with an ERA of 3.31. ​Also, Karla had the lowest ERA of any female pitcher at the school with an ERA of 3.02. For the​ males, the mean ERA was 4.837 and the standard deviation was 0.541. For the​ females, the mean ERA was 4.533 and the standard deviation was 0.539. Find their respective​ z-scores. Which player had the better year relative to their​ peers, or ​? ​(Note: In​ general, the lower the​ ERA, the better the​ pitcher.)

We are given that for the​ males, the mean ERA was 4.837 and the standard deviation was 0.541. For the​ females, the mean ERA was 4.533 and the standard deviation was 0.539.

As, we know that the z-score is calculated by the following formula;

                                 Z  =  \frac{X-\mu}{\sigma} ~ N(0,1)

where, \mu = population mean

           \sigma = standard deviation

Now, firstly we will calculate the z score for Thomas;

z-score = \frac{X-\mu}{\sigma}

            = \frac{3.31-4.837}{0.541}  = -2.823

{Here, the mean ERA for the males was 4.837 and the standard deviation was 0.541}

Similarly, we will calculate the z score for Karla;

z-score = \frac{X-\mu}{\sigma}

            = \frac{3.02-4.533}{0.539}  = -2.807

{Here, the mean ERA for the females was 4.533 and the standard deviation was 0.539}

Now, it is stated in the question that the lower the​ ERA, the better the​ pitcher.

So, we can clearly see that Thomas had a lower ERA of z-score as -2.823 < -2.807. This means that Thomas had the better year relative to their​ peers.

5 0
3 years ago
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