Multiply the second equation by 3, so 4x-y=6 becomes 12x-3y=18.
x + 3y = -5
+ (12x-3y = 18)
______________
13x = 13
So x = 1
Plug x = 1 into any of these, such as 1 + 3y = -5, which becomes 3y = -6, and then y = -2.
x = 1
y = -2
44°, because the measure of the left side of angle B=112°, 180°-112°=68°, so the measure of the right side of angle B=68°, and since side BE and side CE are congruent and have the same length measurements, then angle C and the right side of angle B are also congruent. All angles of a triangle must add up to 180°, and since you have angle C as 68° and angle B as 68°, 68°+68°= 136°, and 180°-136°=44°
Answer:
The probability that the sample proportion will be greater than 13% is 0.99693.
Step-by-step explanation:
We are given that a large shipment of laser printers contained 18% defectives. A sample of size 340 is selected.
Let = <u><em>the sample proportion of defectives</em></u>.
The z-score probability distribution for the sample proportion is given by;
Z = ~ N(0,1)
where, p = population proportion of defective laser printers = 18%
n = sample size = 340
Now, the probability that the sample proportion will be greater than 13% is given by = P( > 0.13)
P( > 0.13) = P( > ) = P(Z > -2.74) = P(Z < 2.74)
= <u>0.99693</u>
The above probability is calculated by looking at the value of x = 2.74 in the table which has an area of 0.99693.
<span>Nate’s method works because multiplication and division are the inverse of each other. This means that when you divide 15 (the dividend) by 5 (the divisor) and get 3 (the quotient), the quotient and the divisor multiplied together are factors of the dividend, which becomes a product.</span>