Answer:
30
Step-by-step explanation:
Work backwards:
- 6 is 3/5 of a number, and that number is 10
- 10 is 1/3 of a number, and that number is 30
Check your work:
- 2/3 of 30=20 toy to Sarah
- 30-20=10 toys left
- 2/5 of 10=4 toys to Ryan
- 10-4=6 toys left
The two numbers are 12 and 5.
Two equations can be derived from this question
5x + 2y = 70 equation 1
4x - 2y = 38 equation 2
Where:
x = larger number
y = smaller number
In order to determine the larger number, the following steps hare to be taken:
Add equation 2 and 1
9x = 108
Divide both sides by 9
x = 108/9
x = 12
In order to determine the smaller number, substitute for x in equation 1
5(12) + 2y = 70
60 + 2y = 70
70 - 60 = 2y
10 = 2y
y = 5
To learn more about simultaneous equations, please check: brainly.com/question/25875552
Answer:
Odd
Step-by-step explanation:
Looking at f(x)=x-3x^3, we see that all powers of x are odd: x^1 and x^3.
Thus, this function is ODD.
Answer:
101.00
Step-by-step explanation:
Given:
P=principal=$1
r=rate=1%=0.01
n=number of periods=12
t=time=1
Compound Interest (A)=P(1+r/n)^nt
=$1(1+0.01/12)^12×1
=$1(1+0.00083)^12
=$1(1.00083)^12
=$1(1.0100055)
=$1.0100055
Approximately
101.00
Answer:
Kindly check explanation
Step-by-step explanation:
The alpha level set at the beginning of of an experiment is used by the researcher to the limit the probability if making a type 1 error. The type 1 error is committed when a true null hypothesis is incorrectly rejected.
The type 2 error on the other hand is committed when fail to reject a false null hypothesis.
Hence, in other to forestall the risk of incorrectly rejecting a true null hypothesis, the alpha level is set.
When critical region is split across both tails of the distribution, The z-score boundaries at an alpha level α = .05
α = .05 (95% confidence level)
When region is split into 2:
α/2 = .05/2
α/2 = 0.025
Loooking up the z table for the Zscore with probability of 0.025
Zscore = ±1.96