Answer:
1) 6x+3y=5
Step-by-step explanation:
1) First, find the slope of the line passing through (-4, -1) and (-1, -7). Use the slope formula
. Substitute the x and y values of the two points into the formula and solve:
So, the slope is -2.
2) Now, identify the slopes of the lines in the options. We already know the slope of
is
since it is in slope-intercept form. y = -2 must have a slope of 0 since it's horizontal, and all equations with the format of y = a number are horizontal.
To find the slope of
, isolate y to put the equations into slope-intercept form (
format), and whatever the coefficient of the x-term is will be the slope.
.
So, the slope of the first option is -2. It matches the slope we calculated in the first step, so that must be the answer.
It is 1/2 because Ik it is
Answer:
a) 281 days.
b) 255 days
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:

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:

(a) What is the minimum pregnancy length that can be in the top 8% of pregnancy lengths?
100 - 8 = 92th percentile.
X when Z has a pvalue of 0.92. So X when Z = 1.405.




(b) What is the maximum pregnancy length that can be in the bottom 3% of pregnancy lengths?
3rd percentile.
X when Z has a pvalue of 0.03. So X when Z = -1.88




Answer:
0.9689
Step-by-step explanation:
Given:
banks in Switzerland are private organizations, p = 51% = 0.51
Sample size, n = 544 banks
To find:
Probability (the sample proportion of private banks will be greater than 47%)
Now,
Mean of the sample, μ = np = 544 × 0.51 = 277.44
= 544 × 0.47 = 255.68
Standard deviation = 
or
Standard deviation = 
or
Standard deviation = 11.6595
Now,
=
=
= 
= 
Now, from standard z value table, we get
= 1 - 0.031021
= 0.9689