Answer:
B) ![2n+4](https://tex.z-dn.net/?f=2n%2B4)
Step-by-step explanation:
The question states that Dai has 4 more cards than twice the number of cards Maura has.
"more" - add
"twice" - multiply by 2
Let n be equal to the number of cards that Maura has.
Let D be equal to the number of cards that Dai has.
When we translate this into an <em>equation</em>, we would get something that looks like...
![D=2n+4](https://tex.z-dn.net/?f=D%3D2n%2B4)
Since Dai has four more cards than twice the number of cards Maura has, 2 times the number of cards Maura has plus four is equal to the number of cards Dai has. Hopefully this is easier to understand written like an equation!
Therefore, the expression would be
.
I hope this helps!
There are 1600 metres in 1 mile, so 10095÷1600= 6.3 miles/s
Answer:
He needs to score below 68.88 in order to advance to the next round
Step-by-step explanation:
Z-score
In a set with mean
and standard deviation
, the zscore of a measure X is given by:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
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 problem, we have that:
![\mu = 71.5, \sigma = 3.12](https://tex.z-dn.net/?f=%5Cmu%20%3D%2071.5%2C%20%5Csigma%20%3D%203.12)
He needs to score below what value in order to advance to the next round?
Below the 20th percentile, so below the value of X when Z has a pvalue of 0.20. So it is X when ![Z = -0.84](https://tex.z-dn.net/?f=Z%20%3D%20-0.84)
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![-0.84 = \frac{X - 71.5}{3.12}](https://tex.z-dn.net/?f=-0.84%20%3D%20%5Cfrac%7BX%20-%2071.5%7D%7B3.12%7D)
![X - 71.5 = -0.84*3.12](https://tex.z-dn.net/?f=X%20-%2071.5%20%3D%20-0.84%2A3.12)
![X = 68.88](https://tex.z-dn.net/?f=X%20%3D%2068.88)
He needs to score below 68.88 in order to advance to the next round
5 equals the whole number 5?
Answer:
D.
Step-by-step explanation:
I am assuming they are not allowing graphing calculators for this, which is kind of wacky, if you ask me.
Anyway, the greater or equal to can technically be used interchangeably, so it looks like this:
y > 2x --> y = 2x
And so, with that equation, the sign just tells you what section of the graph is included. In this case, everything above the line.