Answer:
A. 0.1035
B. 0.1406
C. 0.1025
Step-by-step explanation:
Given that:
the number of sample questions (n) = 5
The probability of choosing the correct choice (p) = 1/4 = 0.25
Suppose X represents the number of question that are guessed correctly.
Then, the required probability that she gets the majority of her question correctly is:
P(X>2) = P(X=3) + P(X =4) + P(X = 5)
P(X>2) = [ 0.0879 + 0.0146 + 0.001 ]
P(X>2) = 0.1035
B.
Recall that
n = 5 and p = 0.25
The probability that the first Q. she gets right is the third question can be computed as:
Since, x = 3
P(X=3) = 0.1406
C.
The probability she gets exactly 3 or exactly 4 questions right is as follows:
P(X. 3 or 4) = P(X =3) + P(X =4)
P(X = 3 or 4) = [ 0.0879 + 0.0146 ]
P(X=3 or 4) = 0.1025
Answer:
y = -1
Step-by-step explanation:
Details have been given in the question, we need to break them apart and create our equations accordingly.
"the sum of two times x and 3 times y is 5"
2x + 3y = 5
"the sum of two times x and 3 times y is 5"
x - y = 5
So, our two equations are:
2x + 3y = 5
x - y = 5
Solve using substitution method, by moving y to the other side.
x = y + 5
2(y + 5) + 3y = 5
2y + 10 + 3y = 5
Combine like terms
5y + 10 = 5
Subtract 10 from both sides
5y = -5
y = -1
It is 5% active, so if we have 10 gallons, the active ingredients would be 5% of 10.
5% of 10
= 0.05 * 10 = 0.5
0.5 gallons.
Answer:
26
Step-by-step explanation:
2*3*5-3(-2)+5(-2)
6*5+6-10
30+6-10
36-10
26
Answer:
Consider a right angle triangle ABC such that B =90 degree as shown in figure given below with all the three sides labelled.
let
Sum of all the measures of an angle in a triangle is 180 degree.
In triangle ABC
or
Simplify:
The side AC (Hypotenuse) = 10 cm
Now, find the other sides i.e, AB and BC;
Using Sine rule
In a right triangle, the sine of an angle is the length of the opposite side divided by the length of the hypotenuse side.
then
or
or
Simplify:
AB = 6.4278761 ≈ 6.43 cm
Now,by using tangent rule to solve for BC
In a right triangle, the tangent of an angle is the length of the opposite side divided by the length of the adjacent side.
then;
or
or
Simplify:
BC = 7.66044443≈ 7.66 cm
therefore, the sides AB and BC of the triangle ABC are 6.43(approx) and 7.66(approx.)