The smaller number is 15 and larger number is 36.
Step-by-step explanation:
Let,
Smaller number = x
Larger number = y
According to given statement;
The sum of two numbers is 51.
x+y = 51 Eqn 1
Four times the smaller number is 24 more than the larger number.
4x = y+24
4x - 24 = y
y = 4x-24 Eqn 2
Putting value of y from Eqn 2 in Eqn 1

Dividing both sides by 5

Putting x=15 in Eqn 2

The smaller number is 15 and larger number is 36.
Keywords: linear equation, substitution
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Answer:
0.81859
Step-by-step explanation:
We solve using z score method
The formula for calculating a z-score is is z = (x-μ)/σ,
where
x is the raw score
μ is the population mean
σ is the population standard deviation.
Mean 0.8 pound
Standard deviation 0.25 pound
For x = 0.55 pound
z = 0.55 - 0.8/0.25
= -1
Probability -value from Z-Table:
P(x = 0.55) = 0.15866
For x = 1.3 pounds
Z = 1.3 = 0.8/0.25
= 2
Probability value from Z-Table:
P(x = 1.3) = 0.97725
The probability that a randomly selected zucchini will weigh between 0.55 pound and 1.3 pounds is
P(x = 1.3) - P(x = 0.8)
0.97725 - 0.15866
0.81859.
Answer:
Step-by-step explanation:
3. Area = pie r2
A = (22/7) (4)2
= 50.27
4. Circumference = pie d
C = (22/7) (13)
= 40.84
Answer:
28.3 yards per hour
Step-by-step explanation:
36 inches=1 yard
17inches*1 yard =.47 yards
/36 inches
In one minute, the turtle moves .47 yards.
60 minutes=1 hour
60minutes * .47 yards =28.3 yards per hour