Answer:
y=2 and x=1
Step-by-step explanation:
sub 2 into 1
3(15-7y) + 4y= 11
45 - 21y +4y =11
-21y+4y= 11-45
-17y= - 34
y=2
Therefore sub y into x equation
x=15-7(2)
x= 1
Answer:
3/4= 75 % of the data is greater than the first quartile in a box-and-whisker plot.
Step-by-step explanation:
75 % of the data is greater than the first quartile in a box-and-whisker plot.
The first quartile denoted by Q1 is the median of the lower half of the data set.
This means that 25% of the values lie in the first quartile and 75 % of the values lie above the first quartile.
In the box and whisker plot the longer box indicates the interquartile range whereas the sides represent the 1st and 3rd quartile. The first quartile is the region where the values start and increase to the interquartile range.
75 % means = 75/100 or 0.75 or 3/4
75/100= 15/20= 3/4
Answer:
ρ = 35% or 0.35
ρ with ^ = 
or equivalently 46%
Step-by-step explanation:
ρ represents the population proportion of the bus riders, with a monthly pass, who are students.
The population proportion is simply the percentage of the entire population with a particular characteristic. We have been informed that in a city, 35% of the bus riders with a monthly pass are students. This means that 35% of the whole population of bus riders with a monthly pass are students. Therefore, our ρ is simply 35% or 0.35.
ρ with ^ represents the sample proportion of the bus riders, with a monthly pass, who are students. This is a statistic or an estimator as it is normally used to estimate the value of ρ, the population proportion. It is calculated using the formula;
ρ with ^ = 
where n represents the size of the sample and x the number of individuals in the sample with a certain desired characteristic. We have been informed that;
in a random sample of 50 bus riders with monthly passes, 23 are students.
Using the above formula and the values given we have;
ρ with ^ = or equivalently 46%
Answer:
B
Step-by-step explanation:
Using the law of sines, we can make a proportion.
But first, we'll need to solve for the unknown angle.
We add up the two known angles and subtract that by 180.
90 + 41 = 131
180 - 131 = 49
So the unknown angles is 49.
Then, we can use the law of sines.
Make the equation.
sin(90)/55 = sin(49)/x
Simplify this using a calculator and you get around 41.51 or option B.
Answer:
D
Step-by-step explanation:
