Answer:
Step-by-step explanation:
<u>Answer: </u>
Option(D) -each roll of the die has two equally likely outcomes
<u>Explanation: </u>
In probability theory, the binomial statistical distribution refers to a distinct distribution of no. of desired effects in sequential autonomous experiments, where each experiment ask a question for ‘yes’/’no’, and each with its own probable boolean-assessed outcome.
A binomial experiment must satisfy the following 4 conditions: (a) Number of trials should be fixed; (b) Every trial should be independent of another; (c) Only two outcomes are there; (d) the chance of each result from trial to trail remains
PR must be less than 26cm as PQ + QR = 26cm
PR must be more than 16cm as PD- QR = 16cm
At both those limits the sides would lay on top of each other.
Answer:
Step-by-step explanation:
Let largest value of data be L
and smallest value of data be S.
We are given that the range and coefficient of range of the data are 17 and 0.2 respectively.
Range formula is given by = Largest value - Smallest value
17 = L - S
L = 17 + S ---------- [Equation 1]
Coefficient of range formula = (Largest - Smallest) ÷ (Largest + Smallest)
0.2 = l-s/l+s
0.2 = 17/l+s
L + S = 17/0.2 = 85
So, L + S = 85
17 + S + S = 85 {using equation 1}
2*S = 80
S = 80/2 = 40
Putting value of S in equation 1, we get L = 20 + 40 = 60
Therefore, Largest value, L = 60
smallest value, S = 40
Answer:
Step-by-step explanation:
Let x represent the cost of one white chocolate pretzel.
Let y represent the cost of one dark chocolate pretzel.
Rico bought 4 white chocolate pretzels and 6 dark chocolate pretzels for $10.50. This means that
4x + 6y = 10.5 - - - - - - - - - - -1
Holden bought 8 white chocolate and 3 dark chocolate pretzels for $9.75. This means that
8x + 3y = 9.75 - - - - - - - - - 2
Multiplying equation 1 by 8 and equation 2 by 4, it becomes
32x + 48y = 84
32x + 12y = 39
Subtracting, it becomes
36y = 45
y = 45/36 = $1.25
Substituting y = 1.25 into equation 1, it becomes
4x + 6 × 1.25 = 10.5
4x + 7.5 = 10.5
4x = 10.5 - 7.5 = 3
x = 3/4 = $0.75
the total cost for 6 white chocolate pretzels and one dark chocolate pretzel would be
6 × 0.75 + 1 × 1.25 = 4.5 + 1.25 = $5.75
