Hi Kristian
a - 3b = 22
a = b - 2
We need to solve a = b -2 for a
First, we need to substitute b - 2 for a in a - 3b = 22
a - 3b = 22
b - 2 - 3b = 22
-2b - 2 = 22
-2b = 22 + 2
-2b = 24
b = 24/-2
b = -12
Now substitute -12 for b in a = b - 2
a = b -2
a= -12 - 2
a= -14
Thus, the solution is a = -14 and b = -12
The correct option is the last one (-14,-12)
If you have questions about my answer, please let me know.
Good luck!
5. 53.96 - 19.99 = 33.97
33.97 / 53.96 = 0.629 = 63%
6. a 62% discount means she would pay 38% of the original price
2.15 * 0.38 = 0.82 . the 0.82 is not the discount, but the amount she would actually pay.
to check: the discount is 62% 2.15 x 0.62 = 1.33
2.15 - 1.33 = 0.82
Note absolutely sure on part 7
7. A) the number of votes per vertical line is missing.
B) darken the vertical lines and total the number of colored squares there are then divide the number the winner got by total so 6/16 = 0.375 = 37.5% MAY NEED TO ROUND TO 38%
C) amber got 2/16 squares = 0.125. 420 * 0.125 = 52.5 = 53 votes
Answer:
The probability that a random sample of 16 SAT scores has a sample mean between 1440 and 1480 is 0.1464
Step-by-step explanation:
The probability that the sample mean is between 1440 and 1480 is equal to the probability that the sample mean is below 1480 minus the probability that the sample mean is below 1440, or
P(1440 < sample mean < 1480)
=P(sample mean<1480) - P(sample mean<1440)
To find these probabilities we need to calculate the statistic of 1440 and 1480, and it can be calculated as:
t=
where
- X is the sample mean (1440,1480)
- M is the mean SAT scores (1518)
- s is the standard deviation (325)
- N is the sample size (16)
then
t(1440)=
=-0.96
t(1480)=
= -0.4677
using the t table with 15 degrees of freedom we can find that
P(sample mean<1480) = P(t<-0.4677) = 0.3225
P(sample mean<1440) = P(t<-0.96) = 0.1761
Then P(1440 < sample mean < 1480) =0.3225 - 0.1761 = 0.1464
The theorem that can be used to prove that both right triangles are congruent is: A. LL
<h3>What is the Leg-leg Congruence Theorem (LL)?</h3>
The LL congruence theorem states that if two legs of one right triangle are congruent to two corresponding legs of another right triangle, then both right triangles are congruent triangles.
From the image given, both triangles have the following:
Two pairs of congruent legs - GM ≅ EO and MO ≅ OM
Therefore, the theorem that can be used to prove that both right triangles are congruent is: A. LL
Learn more about the LL congruence theorem on:
brainly.com/question/2102943