B = block p = park
2b + p = 10 min 2 runs around the block takes 10 minutes
2b + 3p = 22 min 2 runs around the block plus 3 runs around the park takes 22 minutes
To solve, I will use substitution. First, I will divide the first equation by 2 to get b by itself and subtract p from both sides to get b by itself. Then, substitute 5 - 1/2p in for b in the second equation because they have equal values. Then, subtract 10 from both sides to eliminate it. Divide by 2 to both sides to get 'p' by itself.
2b + p = 10 min ---------→b + 1/2p = 5 ----------→ b = 5 - 1/2p
2(5 - 1/2p) + 3p = 22 ---------→ 10 -p + 3p = 22 --------→ 10 + 2p = 22
10 + 3p = 22 ----------→ 2p = 12
2p = 12 -------------→ p = 6
It takes 6 minutes to jog around the park
Hope this helps!
The property shown is commutative multiplication. This property says that the product of two factors is not affected by the order in which they're multiplied. In this case, the product remains the same i.e., 2*8*5 = 80 while 2*5*8 <em>also </em>equals 80.
The answer to the above math expression is . See the computation below.
<h3>What is the calculation justifying the above?</h3>
First we solve for the numerator. The numerator is:
7√2 - 2√16
Where:
7√2 = 9.89949493661; and
2√16 = 8
Hence,
7√2 - 2√16 = 1.89949493661
Next we solve for the denominator. This is given as:
3√8=8.48528137424
Hence,
(7√2 - 2√16)/3√8 = 1.89949493661/8.48528137424
= 0.22385762508
0.224
Learn more about math expressions:
brainly.com/question/4344214
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Answer:
c. 0.1391 < Ï < 0.2311
Step-by-step explanation:
The formula for Confidence Interval is given as:
Mean ± z × Standard deviation/√n
Z score for 98% confidence interval = 2.326
Mean = Significance level = 100% - 98%
= 2% = 0.02
Standard deviation = S=0.0165
n= 37
Hence,
Confidence Interval =
0.02 ± 2.326 × 0.0165/√37
0.02 ± 0.0063094687
Confidence Interval
0.02 - 0.0063094687
= 0.1391
0.02 ± 0.0063094687
= 0.2311
Hence, the Confidence Interval = (0.1391, 0.2311)
= c. 0.1391 < Ï < 0.2311
Y = x - 2. Then graph the equation and verify your answers.
