Answer:
30 goals last season
Step-by-step explanation:
Goals this season = 8
Goals this season = 1/3 of goals last season - 2
Let Goals scored last season = x
Therefore,
8 = 1/3x - 2
8 = x/3 - 2
8 + 2 = x / 3
10 = x / 3
x = 10 * 3
x = 30
Sara scored 30 goals last season
Answer:
The measures of ∠BOC is 25.4° and that of ∠AOB is 15.8°.
Step-by-step explanation:
Given that,
∠AOC = 31°
∠BOC = 2x+10
∠AOB = 4x-15
As we can seen from the figure that,
∠AOC = ∠AOB + ∠BOC
Put all the values,
31 = 4x-15+2x+10
31 = 6x-15
31+15 = 6x
46 = 6x
x = 7.7
∠BOC = 2(7.7)+10 = 25.4°
∠AOB = 4(7.7)-15 = 15.8°
So, the measures of ∠BOC is 25.4° and that of ∠AOB is 15.8°.
Answer:
The question is not so clear and complete
Step-by-step explanation:
But for questions like this, since the equation has been given, what is expected is for us to make comparison, compare the RHS with the LHS or by method of comparing coefficients.
We follow the stated conditions since we are told that b and c are both integers which are greater than 1 and b is less than the product of cb. from these conditions, we can compare and get the values of b , c and d.
Another approach is to assume values, make assumptions with the stated conditions, however, our assumptions must be valid and correct if we substitute the assumed values of b, c and d in the equation, it must arrive at the same answer for the RHS. i.e LHS = RHS
Answer:
sandwiches is £1.8
bottle water = £1.2
Step-by-step explanation:
Given data
let cheese sandwiches be x
and bottle water be y
3x+2y= 7.8------------1
5x+4y= 14.20---------2
solve 1 and 2
3x+2y= 7.8------------1*5
5x+4y= 14.20---------2*3
15x+10y= 39
- 15x+12y= 42.6
-2y = -3.6
y= 3.6/2
x=1.8
Put x= 1.8 in 1
3(1.8)+2y= 7.8
5.4+2y= 7.8
2y= 7.8-5.4
2y=2.4
y= 2.4/2
y= 1/2
Hence cheese sandwiches is £1.8
bottle water = £1.2
Answer:
Only option d is not true
Step-by-step explanation:
Given are four statements about standard errors and we have to find which is not true.
A. The standard error measures, roughly, the average difference between the statistic and the population parameter.
-- True because population parameter is mean and the statistic are the items. Hence the differences average would be std error.
B. The standard error is the estimated standard deviation of the sampling distribution for the statistic.
-- True the sample statistic follows a distribution with standard error as std deviation
C. The standard error can never be a negative number. -- True because we consider only positive square root of variance as std error
D. The standard error increases as the sample size(s) increases
-- False. Std error is inversely proportional to square root of n. So when n decreases std error increases
