Answer:
Length and the width of the rectangle is 15.5 inches and 8.5 inches respectively.
Step-by-step explanation:
Given:
Length = 7 inches + Width
=> P = 48 inches
=> L = (7 + W) inches............. (1)
Perimeter 'P' is the sum of all sides of the rectangle 2 (L + W)
∴ 48 inches = 2 (L + W) .................(2)
Substitute for L in equation (2)
∴ 48 inches = 2 [(7 + W) + W]
48 = 2[7 + 2W]
48 = 14 +4W
48 - 14 = 4W
34 = 4W
W = 8.5 inches
Recall that: Length, L = (7 + W)
∴ L = (7 + 8.5)
L = 15.5 inches
Answer:
1. slope is 2
2. a is 5
3. b is 6
4. 0
Step-by-step explanation:
Using the binomial distribution, it is found that there is a 0.0328 = 3.28% probability that at least 2 of them choose the same quote.
<h3>What is the binomial distribution formula?</h3>
The formula is:


The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem, we have that:
- There are 6 students, hence n = 6.
- There are 20 quotes, hence the probability of each being chosen is p = 1/20 = 0.05.
The probability of one quote being chosen at least two times is given by:

In which:
P(X < 2) = P(X = 0) + P(X = 1).
Then:



Then:
P(X < 2) = P(X = 0) + P(X = 1) = 0.7351 + 0.2321 = 0.9672.

0.0328 = 3.28% probability that at least 2 of them choose the same quote.
More can be learned about the binomial distribution at brainly.com/question/24863377
Answer:
$25.10
Step-by-step explanation:
lunch=$7.52
dinner=$9.74
breakfast=$5.16
money left=$2.68
make total money he began with ‘x’
to find the total money he began with it will be
x-lunch+dinner+breakfast=money left
x-$7.52+$9.74+$5.16=$2.68
x-$22.42=$2.68
x=$2.68+$22.42
x=$25.10
Answer:
Before this problem gets an answer, can you define "gotta." Does this work mean isosceles?
Step-by-step explanation: