A) you can combine any of the 5 ice-creams with any of the 3 toppings and any of the 4 drinks.
This means a total of 5*3*4=60 ways.
B) assuming that the first digit can be 0, we have 10 choices for the 1. digit, 9 for the 2., 8 for the third and 7 choices for the fourth digit.
In total, there are 10*9*8*7=5040 passwords we can create.
C) Selection of 3 objects out of 8, can be done in
C(8, 3)=8!/(3!5!)=(8*7*6)/3!=8*7=56 many ways.
D.
P(prime)=n(prime)/n{1, 2, 3, 4, 5, 6}=n{2, 3, 5}/6=3/6=1/2=0.5
E.
any of the 6 outcomes of rolling a die, can be combined with any of the 4 colors.
for example (1, red), (1, yellow), (1, green), (1, blue).
so in total, there are 6*4=24 items in the sample space.
F.
(5, red) is just one of the 24 items in the sample space, so its probability is 1/24= 0.0417
G.
the mode, as it is the size which appears the most.
Answers:
A.60
B.5040
C.56
D. 0.5
E.24
F.1/24= 0.0417
G.mode
The area of carpet square is 81 square inches
<h3><u>Solution:</u></h3>
Given that carpet squares has sides that are 9 inches long
<u><em>To find: area of carpet square</em></u>
Since given that carpet is of square shape, we can use area of square formula
<u><em>The area of square is given as:</em></u>
Where "s" is the length of side
Given s = 9 inches
Substituting the values in above formula, we get
Thus the area of carpet square is 81 square inches
Answer:
i think geometry
Step-by-step explanation:
a straight line = 180 degrees
so the missing angle is 180 - 130 = 50 degrees
Applying the angles of intersecting secants theorem, the measures of the arcs are:
m(KL) = 20°; m(MJ) = 80°.
<h3>What is the Angles Intersecting Secants Theorem?</h3>
When two secants intersect and form an angle outside the circle, the measure of the angle formed is half the positive difference of the measures of the intercepted arcs.
Given the following:
m∠MEJ = 1/2(MJ - KL)
30 = 1/2(MJ - KL)
60 = MJ - KL
KL = MJ - 60
m∠MFJ = 1/2(MJ + KL)
50 = 1/2(MJ + MJ - 60)
100 = 2MJ - 60
2MJ = 100 + 60
2MJ = 160
MJ = 160/2
MJ = 80°
KL = MJ - 60 = 80 - 60
KL = 20°
Thus, applying the angles of intersecting secants theorem, the measures of the arcs are:
m(KL) = 20°; m(MJ) = 80°.
Learn more about angles of intersecting secants theorem on:
brainly.com/question/1626547