Answer:
<h2>Hey option A is correct......</h2>
X= # of miles
.55x+1.75 is greater than or equal to 10
So if she has to go more than 2 miles we will put 2 in for X
.55(2)+1.75 is greater than or equal to 10
.55×2= 1.10+1.75= 2.85
2.85 is greater than 10 is false so now we know she has to go more than 2 miles.
Let's guess and check. Now let's say 15 miles
.55×15= 8.25+1.75= 10
10=10 So she needs to drive at least 15 miles
x is greater than or equal to 15
Please don't solely rely on my answer I don't know if it's correct
Area= length*width
width=W
W*(3W-4)=615
3W^2-4W=615
3W^2-4W-615=0
W=41
W=-45
But W cant be a negative number so it is 41m (width)
The length is (41*3)-4=119m (length)
we are given that 35 students do not like skating and that 75 % of the students like skating otherwise. This means 25 % of the students dont like skating. Hence the total number of students is 35/0.25 equal to 140 students. 75 percent of 140 students is the answer equal to 105 students
Answer:
z = 2.1784 > 1.96,
Reject the null hypothesis
Step-by-step explanation:
For the males:
n1 = 162, x1 = 63
P1 = x 1/ n1 = 0.3889
For the Females:
n2 = 333,
x2 = 97
P 2 = x2/n2
= 0.2913
P 1= P2 Null hypothesis
P 1 is not equal to P 2 alternative hypothesis
Pooled proportion:
P= (x1 + x2) /( n1+ n2)
= (63 + 97) / (162 + 333)= 0.3232
Test statistics :
Z= (p1 - p2) /√p(1-p)× (1/n1 + 1/n2)
0.3889- 0.2913 / √0.3232 × 0.6768 × (1/162 +1/333)
=2.1784
c) Critical value :
Two tailed critical value, z critical = Norm.S .INV (0.05/2) = 1.960
Reject H o if z < -1.96 or if z > 1.96
d) Decision:
z = 2.1784 > 1.96,
Reject the null hypothesis