Answer:
There are 24 girls.
Step-by-step explanation:
56 total students divided into 7 parts (4 parts boys and 3 parts girls) is 8.
8 times 3(ratio of girls) is equal to 24.
Answer:
Step 2; it should be m∠w + m∠z = 180 degrees (supplementary angles)
Step-by-step explanation:
Step 1: m∠x + m∠y + m∠z = 180 degrees (sum of angles of a triangle)
Step 2: m∠w − m∠z = 90 degrees (corresponding angles)
We are adding the angles to form a straight line which is 180 degrees
Step 3: Therefore, m∠x + m∠y + m∠z = m∠w + m∠z
Step 4: So, m∠x + m∠y = m∠w
The rolls are entirely independent. Since P(2)= 1/6,
P(2 on both rolls) = (1/6)(1/6) = 1/36.
Put the coordinates of the points to the equations of the functions and check:
for (1, 4)
y = 5x + 4 → 4 = 5(1) + 4 → 4 = 5 + 4 → 4 = 9 FALSE
y = (x + 1)² → 4 = (1 + 1)² → 4 = 2² → 4 = 4 CORRECT
y = (x + 3)² → 4 = (1 + 3)² → 4 = 4² → 4 = 16 FALSE
y = 7x - 5 → 4 = 7(1) - 5 → 4 = 7 - 5 → 4 = 2 FALSE
Only y = (x + 1)².
Check other points:
for (2, 9)
9 = (2 + 1)² → 9 = 3² → 9 = 9 CORRECT
for (3, 16)
16 = (3 + 1)² → 16 = 4² → 16 = 16 CORRECT
<h3>Answer: Only y = (x + 1)²</h3>
Answer: B
Step-by-step explanation: