Answer:
the critical value for 0.87 level of confidence is 1.51
Step-by-step explanation:
Given the data in the question;
level of confidence = 0.87
now,
1 - c = 0.87
c = 1 - 0.87
c = 0.13
c/2 = 0.13/2 = 0.065
now
1 - c/2 = 1 - 0.065 = 0.935
so our level of significance ∝ = 0.935
Now, the critical value will be;
is obtained as follows;
P( Z < z ) = 0.935
so we find the value from ( standard normal distribution table )
P( Z < 1.51 ) = 0.935
Therefore, the critical value for 0.87 level of confidence is 1.51
Divide by the coefficient of y.
y = (45/9)x
y = 5x
The constant of proportionality is 5.
Answer:
There are 23 dimes in the box
Step-by-step explanation:
Let nickels=n
Let dimes=(35-n)
Equation: 0.05n+0.10(35-n)=2.90
Multiply both sides by 100: 5n+10(35-n)=290
-5n+350=290
-5n=-60
n=12
35-12=23
Therefore, there are 23 dimes in the box
Y = -3/2x + 4...slope is -3/2
A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So that means the slope we will need is 2/3...see how I flipped the slope and changed the sign.
Now we use y = mx + b....slope(m) = 2/3....(3,9)...x = 3 and y = 9.
Time to sub...we r looking for b, the y intercept.
9 = 2/3(3) + b
9 = 2 + b
9 - 2 = b
7 = b
so the perpendicular equation is : y = 2/3x + 7...but we need it in Ax + By = C form....
y = 2/3x + 7....multiply by common denominator of 3 to get rid of fractions
3y = 2x + 21...subtract 2x from both sides
-2x + 3y = 21....<== ur answer...normally, I would have multiplied this by -1 to make x positive...but that is not an answer choice
