If the monthly cost for 23 HCF is <br> $48.31 , what is the monthly cost for 18 HCF?

Jose has scored 562 points on his math tests so far this semester he must score atleast 650 points write and solve an inequality

solniwko [45]

562 + X >= 650
subtract 562 from both sides
X >= 88

5 0

3 years ago

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6x-2y=24<br> how do u solve for y

Tatiana [17]

It's <span>Diophantine equation.
First, we need to found gcd(6,(-2)):</span>
6=2*3
(-2)=(-1)*2

So, gcd(6,-2)=2
Now, the question is. Can we dived c=24, by gcd(6,-2) and in the end get integer?
Yes we can.
$\frac{24}{2} =12$
So, we can solve it.

Now is the formula:
${\begin{cases}x=x_{0}+n{\frac {b}{\gcd(a,\;b)}}\\y=y_{0}-n{\frac {a}{\gcd(a,\;b)}}\end{cases}}\quad n\in \mathbb {Z} .$

Second, we need the first pair (x0,y0)
if
x=0
then
$y=(-12)$

Third, we gonna use that formula:
${\begin{cases}x=-n}\\y=-3(4+n)}\end{case}\quad n\in \mathbb {Z} .$
Congratulations! We solve it.

8 0

3 years ago

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One year Ron had the lowest ERA (earned-run average, mean number of runs yielded per nine innings pitched)

Arada [10]

Answer:

Ron's ERA has a z-score of -2.03.

Karla's ERA has a z-score of -1.86.

Due to the lower z-score, Ron had a better yean than Karla relative to their peers.

Step-by-step explanation:

Z-score:

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

Since the lower the ERA, the better the pitcher, whoever's ERA has the lower z-score had the better year relative to their peers.

Ron

ERA of 3.06, so $X = 3.06$