Answer:
c. the solution is 3 times as large as 5x(465x4)
Step-by-step explanation:
I assume you are using the letter x as the multiplication sign.
Start with:
15 x (465 x 4)
We know that 15 = 3 x 5
Now we replace 15 with 3 x 5 in the original expression.
15 x (465 x 4) = 3 x 5 x (465 x 4)
Answer: c. the solution is 3 times as large as 5x(465x4)
Answer: 20 seconds
Step-by-step explanation:
The distance is 540 feet
speed of the girl = 15ft/s
speed of the puppy = 12 ft/s
If we stand in the frame of reference where the girl is still, in this frame the speed of the puppy will be equal to the speed of the puppy in our previus frame plus the speed of the girl in the previous frame (because they are running in opposite directions)
S = 15 ft/s + 12ft/s = 27ft/s
Now we can use the equation:
time = distance/speed
T = 540ft/27ft/s = 20s
Answer:
-7 degrees
Step-by-step explanation:
Dropping 12 degrees means that it will get colder by 12 degrees. The colder it gets, the lower the temperature. 5 degrees - the current temperature, is going to be dropped by 12 degrees. To calculate this: 5-12 = -7 (degrees)
Considering the conversion from exponent to radical, the equation that justifies why the expression
is correct is.

<h3>How is the conversion from exponent to radical realized?</h3>
The conversion of rational exponents to radical notation is modeled by:
![a^{\frac{n}{m}} = \sqrt[m]{a^n}](https://tex.z-dn.net/?f=a%5E%7B%5Cfrac%7Bn%7D%7Bm%7D%7D%20%3D%20%5Csqrt%5Bm%5D%7Ba%5En%7D)
In this problem, the expression is:
![9^{\frac{1}{3}} = \sqrt[3]{9}](https://tex.z-dn.net/?f=9%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%20%3D%20%5Csqrt%5B3%5D%7B9%7D)
And the equation that shows that this is correct is:

More can be learned about the conversion from exponent to radical at brainly.com/question/19627260
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Answer
given,
mean = 12 Kg
standard deviation = 0.5 Kg
assume the observed statistic is = 11.1
now, 
assuming the number of sample = 4
n = 4
Hypothesis test:
H₀ : μ≥ 12
Ha : μ < 12
now,
significant level α = 0.05


z* = -3.60
Test statistics, Z* = -3.60
P-value
P(Z<-3.60) = 0.002 (from z- table)
P- value = 0.002
now,
reject the value of H₀ when P-value < α
0.002 < 0.05
since, it is less P-value < α , we have to reject the null hypothesis