Answer:
$75.65
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4.25%/100 = 0.0425 per year,
then, solving our equation
I = 890 × 0.0425 × 2 = 75.65
I = $ 75.65
The simple interest accumulated
on a principal of $ 890.00
at a rate of 4.25% per year
for 2 years is $ 75.65.
Answer:
H0 : μd = 0
H1 : μd ≠ 0
Test statistic = 0.6687 ;
Pvalue = 0.7482 ;
Fail to reject H0.
Step-by-step explanation:
H0 : μd = 0
H1 : μd ≠ 0
Given the data:
Before: 15 26 66 115 62 64
After: 16 24 42 80 78 73
Difference = -1 2 24 35 -18 -9
Mean difference, d ; Σd / n
d = Σx / n = ((-1) + 2 + 24 + 35 + (-18) + (-9))
d = Σx / n = 33 / 6 = 5.5
Test statistic = (d / std / sqrt(n))
std = sample standard deviation = 20.146
Test statistic = 5.5 ÷ (20.146/sqrt(6))
Test statistic = 0.6687
The Pvalue :
P(Z < 0.6687) = 0.7482
At α = 0.05
Pvalue > α ; Hence we fail to reject H0
The data does not suggest a significant mean difference in the average number of accidents after information was added to road signs.
Answer:
-39+5(-41)=244
Step-by-step explanation:
Consider 3 consecutive integers: (smallest) x, x+1 and x+2 (largest)
Five times the smallest means 5x
Sum of the largest and five times the smallest means x+2+5x
This sum is -244 means x+2+5x=-244
Solve this equation
x+2+5x=-244
6x+2=-244
6x=-244-2
6x=-246
x=-41
So, smallest number is -41, second is -40 and largest is -39
= -39+5(-41)=244
Hope this helps, have a nice day/night! :D
Answer:
5/14
Step-by-step explanation:
The total number of cards is 8
There are 5 blue cards
P(1st card is blue) = blue/total = 5/8
We take away a blue card
The total number of cards is 7
There are 4 blue cards
P(2nd card is blue) = blue/total = 4/7
The probability of blue blue is P(blue blue ) =
P(1st card is blue)*P(2nd card is blue) =
5/8* 4/7
20/56
We can divide the top and bottom by 4
5/14
