Answer:
18
Step-by-step explanation:
4x + 5x = 180
10x = 180
x = 18
9514 1404 393
Answer:
m = 35
n = 110
Step-by-step explanation:
Adjacent angles in a parallelogram are supplementary.
n° = 180° -70°
n = 110
Opposite angles in a parallelogram are congruent.
2m° = 70°
m = 35 . . . . . . divide by 2°
Answer:
Yes
Step-by-step explanation:
First, suppose that nothing has changed, and possibility p is still 0.56. It's our null hypothesis. Now, we've got Bernoulli distribution, but 30 is big enough to consider Gaussian distribution instead.
It has mean μ= np = 30×0.56=16.8
standard deviation s = √npq
sqrt(30×0.56×(1-0.56)) = 2.71
So 21 is (21-16.8)/2.71 = 1.5494 standard deviations above the mean. So the level increased with a ˜ 0.005 level of significance, and there is sufficient evidence.
Answer:
a; she will have $8812
b: It will be enough for her trip
Step-by-step explanation:
In this question, we are tasked with calculating how much a certain value in a savings account that is earning an interest that is compounded annually will be worth.
To calculate this, we use the compound interest formula;
A = P(
Where A is the amount after that number of years which of course we want to calculate
P is the principal amount which is the amount we are investing which is $6439 according to the question
r is the interest rate which is 4% = 4/100 = 0.04
t is the time which is 8 years
n is 1 which is the number of times interest will be compounded annually
We plug these values as follows;
A = 6439(1 + 0.04/1)^8
A = 6439(1.04)^8
A = $8,812.22
This amount is greater then the needed $8,500 for the trip and of course it will be enough
get a common denominator of 18
5/6 * 3/3 +4/9 * 2/2 - -2*18/18
15/18 +8/18 + 36/18
23/18 + 36/18
59/18
change to a mixed number
18 goes into 59 3 times with 5 left over
3 and 5 /18