The ratio is 4/3
there's 4 As and 3 Bs so compared it's 4/3
Answer:
Wait what is the question
Step-by-step explanation:
5
------------
15
kinda looks like division
5 numerator
----- division line
15 denominator
how many time does 5 go into 15?
3 times
3
----
5
Answer:
<u> 2y + 3x = 3</u>
Step-by-step explanation:
The standard form of equation of a line is expressed as;
y = mx+c
m is the slope
b is the intercept
We are to find the equation of a line passing through the points (-3,19) and (6,-2)
First get the slope
m = y2-y1/x2-x1
m = -2-19/6-(-3)
m = -21/9
m = -7/3
Get the y- intercept b;
Substitute the coordinate (6, -2) and m = -7/3 into the expression y = mx+b and get b;
-2 = -7/3(6) + c
-2 = -7/2 + c
c = 7/2 - 2
c = (7-4)/2
c = 3/2
Substitute the slope and intercept into the formula
y = mx+b
y = -7x/2 + 3/2
Multiply through by 2;
2y = -7x + 3
2y + 7x = 3
Hence the required equation is<u> 2y + 7x = 3</u>
Answer:
0.5 = 50% probability a value selected at random from this distribution is greater than 23
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
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 = 23, \sigma = 7](https://tex.z-dn.net/?f=%5Cmu%20%3D%2023%2C%20%5Csigma%20%3D%207)
What is the probability a value selected at random from this distribution is greater than 23?
This is 1 subtracted by the pvalue of Z when X = 23. So
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{23 - 23}{7}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B23%20-%2023%7D%7B7%7D)
![Z = 0](https://tex.z-dn.net/?f=Z%20%3D%200)
has a pvalue of 0.5
0.5 = 50% probability a value selected at random from this distribution is greater than 23