Answer:
f. 260 in by 100 in
Step-by-step explanation:
13 + 5 = 18
720/18 = 40
Find length:
40*13 = 520
520/2 = 260 <-- must divide by 2, 520 is the sum of twice the length
Find width:
40*5 = 200
200/2 = 100 <-- must divide by 2, 200 is the sum of twice the width
The conditional relative frequency for female students who prefer playing sports is 34%.
<h3>How to determine the statistic calculated?</h3>
The table of values is given as:
Sports Dancing Row totals
Male students 18 16 34
Female students 18 35 53
Column totals 36 51 87
Mason's calculation is given as:
P = 21%
This is gotten by
18/87 = 21%
The above represents the joint relative frequency of female students who prefer playing sports.
To calculate the conditional relative frequency, he should divide 18 by the row total.
So, we have
18/53 = 34%
Hence, the conditional relative frequency for female students who prefer playing sports is 34%.
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Answer:
(- 2, - 1 )
Step-by-step explanation:
Given the 2 equations
2x - 3y = - 1 → (1)
x + 4y = - 6 → (2)
Rearrange (2) expressing x in terms of y by subtracting 4y from both sides
x = - 6 - 4y → (3)
Substitute x = - 6 - 4y into (1)
2(- 6 - 4y) - 3y = - 1 ← distribute and simplify left side
- 12 - 8y - 3y = - 1
- 12 - 11y = - 1 ( add 12 to both sides )
- 11y = 11 ( divide both sides by - 11 )
y = - 1
Substitute y = - 1 into (3) for corresponding value of x
x = - 6 - 4(- 1) = - 6 + 4 = - 2
Solution is (- 2, - 1 )
Answer:
yessir
Step-by-step explanation:
Answer:
Step-by-step explanation:
1. AB * BE = CB * BD ------------------- 1. GIVEN
2. CB/BE = AB/BD ------------------- 2. Property of cross multiplication
3. ∠ABC ≅ ∠DBE ------------------- 3. Vertical angles
4. ΔABC ~ ΔDBE ------------------- 4. SAS property of similarity
