Answer:
11.7613636364
Step-by-step explanation:
or just round up to 12
Answer:
Step-by-step explanation:
I don't know what a tape diagram is but I can give you the equation and the answer.
Let Victor have x points
Let Maria have y points
y = x + 424
y/x = 5/3 Cross multiply
3y = 5x Divide by 3
y = 5x/3 I Could have just multiplied by x
y = x + 424
5x/3 = x + 424 Multiply both sides by 3
5x = 3x + 1272 Subtract 3x from both sides.
5x-3x = 1272 Combine the left.
2x = 1272 Divide by 2
2x/2 = 1272/2
x = 636
Victor Scored 636 points
Maria Scored 636 + 424 = 1060
Step-by-step explanation:
As ANC are collinear,
AB+BC=AC
so,
18+BC = 41
BC = 41-18
BC = 23 is the answer.
Answer:
The calculated value of t= 0.1908 does not lie in the critical region t= 1.77 Therefore we accept our null hypothesis that fatigue does not significantly increase errors on an attention task at 0.05 significance level
Step-by-step explanation:
We formulate null and alternate hypotheses are
H0 : u1 < u2 against Ha: u1 ≥ u 2
Where u1 is the group tested after they were awake for 24 hours.
The Significance level alpha is chosen to be ∝ = 0.05
The critical region t ≥ t (0.05, 13) = 1.77
Degrees of freedom is calculated df = υ= n1+n2- 2= 5+10-2= 13
Here the difference between the sample means is x`1- x`2= 35-24= 11
The pooled estimate for the common variance σ² is
Sp² = 1/n1+n2 -2 [ ∑ (x1i - x1`)² + ∑ (x2j - x`2)²]
= 1/13 [ 120²+360²]
Sp = 105.25
The test statistic is
t = (x`1- x` ) /. Sp √1/n1 + 1/n2
t= 11/ 105.25 √1/5+ 1/10
t= 11/57.65
t= 0.1908
The calculated value of t= 0.1908 does not lie in the critical region t= 1.77 Therefore we accept our null hypothesis that fatigue does not significantly increase errors on an attention task at 0.05 significance level
Laura's age is 9 years.
Solution:
Let x be the age of April.
Laura's age = 2 years more than half of April's age
<u>Convert statement into algebraic expression:</u>
Half of April's age = 
2 years more than half of April's age = 
Combined age of April and Laura = 23
⇒ April's age + Laura's age = 23
To add the fractions make the denominators same.
Multiplying 2 on both numerator and denominator of unlike terms, we get
Denominators are same, now add the fractions.
Do cross multiplication.
Aprils's age = 14 years
Laura's age = 
= 7 + 2
Laura's age = 9
Hence Laura's age is 9 years.
