Answer:
Step-by-step explanation:
1. x - 2 = 10
x = 10 + 2 = 12
2. 40 = 5x
40/5 = x
x = 8
3. x/2 = 8
Multiply by 2 on both sides
x = 16
4. x + 14 = 24
x = 24 - 14 = 10
5. x + 2 = 10
x = 10 - 2 = 8
6. x/8 = 1
Multiply by 8 on both sides
x = 8
No 2 5 and 6 is the correct answer
Answer:
1. 68%
2. 50%
3. 15/100
Step-by-step explanation:
Here, we want to use the empirical rule
1. % waiting between 15 and 25 minutes
From what we have in the question;
15 is 1 SD below the mean
25 is 1 SD above the mean
So practically, we want to calculate the percentage between;
1 SD below and above the mean
According to the empirical rule;
1 SD above the mean we have 34%
1 SD below, we have 34%
So between 1 SD below and above, we have
34 + 34 = 68%
2. Percentage above the mean
Mathematically, the percentage above the mean according to the empirical rule for the normal distribution is 50%
3. Probability that someone waits less than 5 minutes
Less than 5 minutes is 3 SD below the mean
That is 0.15% according to the empirical rule and the probability is 15/100
Answer:
a
567 is the answer because of the 7percent
Answer:
Step-by-step explanation:
Right Triangle Similarity
Acute Angle Similarity
If one of the acute angles of a right triangle is congruent to an acute angle of another right triangle, then by Angle-Angle Similarity the triangles are similar.
In the figure, ∠M≅∠Y , since both are right angles, and ∠N≅∠Z .
So, ΔLMN∼ΔXYZ .
Leg-Leg Similarity
If the lengths of the corresponding legs of two right triangles are proportional, then by Side-Angle-Side Similarity the triangles are similar.
In the figure, ABPQ=BCQR .
So, ΔABC∼ΔPQR .
Hypotenuse-Leg Similarity
If the lengths of the hypotenuse and a leg of a right triangle are proportional to the corresponding parts of another right triangle, then the triangles are similar. (You can prove this by using the Pythagorean Theorem to show that the third pair of sides is also proportional.)
In the figure, DFST=DESR .
So, ΔDEF∼ΔSRT .
Taking Leg-Leg Similarity and Hypotenus-Leg Similarity together, we can say that if any two sides of a right triangle are proportional to the corresponding sides of another right triangle, then the triangles are similar.
