Answer:
(-2/17, 5/17)
Step-by-step explanation:
Given the coordinates A (-3,-5) to B (9,4), we are to find the coordinate of the point cutting the line using the ratio 7:10
Using the midpoint formula;
M(X,Y) = {(ax1+bx2/a+b, (ay1+by2/a+b))
Given
x1 = -3, y1 = -5, x2 = 9, y2 = 4, a = 7 and b = 10
get the required coordinates;
X = ax1+bx2/a+b
X = 7(-3)+10(9)/7+10
X = -21+19/17
X = -2/17
Get the Y coordinate;
Y = ay1+by2/a+b
Y = 7(-5)+10(4)/7+10
Y = -35+40/17
Y = 5/17
Hence the required coordinate is (-2/17, 5/17)
Answer:
1
Step-by-step explanation:
S = {,10,11,12,13,14,15,16,17,18,19,}
n(s) = 10
P(a) = n(a) / n(s)
= 10 / 10
= 1 / 1
= 1
<em>hope this helps.....</em>
Answer:
Step-by-step explanation:
Given that random sample of 25 values is drawn from a mound-shaped and symmetrical distribution. The sample mean is 10 and the sample standard deviation is 2.
95 % CI for mean 9.1744 to 10.8256
Since p >0.05 accept null hypothesis.
a) Yes because std dev sigma not known. df = 24
b)
H0: x bar = 9.5
Ha: x bar not equals 9.5
c) t-statistic 1.250
d) P = 0.2234
e) We fail to reject null hypothesis
f) There is no statistical evidence at 5% level to fail to reject H0.
Answer:
x=5/12
Step-by-step explanation:
3x3+2x2-12x-8=0
9+4-12x-8=0
13-12x-8=0
-12x+5=0
-12x=-5
x=5/12
Hope this helps plz hit the crown :D
Bernardo travels the same distance at 25mph as he does at 50mph. However, since 25mph is only half of 50 mph, he must travel twice as long at 25mph. If you call the time he traveled 50mph "t", then
<span>t+2t=3 </span>
<span>3t=3 </span>
<span>t=1 </span>
<span>This means he traveled 1 hour at 50mph. In this time, he traveled 50 miles. He traveled the same distance at 25mph, so his total distance was </span>
<span>50miles+50miles=100miles </span>
<span>so the round trip was 100 miles.</span>