Answer:

Step-by-step explanation:
Any time a number has a negative exponent that means that the resulting number will be a fraction (ex.
). Therefore this number is the smallest number.
Anytime a number has an exponent of 0, it will always equal 1
The equation that has the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p are as follows;
<h3>How to rewrite an equation? </h3>
2.3p – 10.1 = 6.5p – 4 – 0.01p
The equation that has the same solution as above can be found as follows;
2.3p – 10.1 = 6.5p – 4 – 0.01p
combine like terms
2.3p – 10.1 = 6.5p – 0.01p - 4
2.3p – 10.1 = 6.49p – 4
Multiply through by 100.
Therefore,
230p - 1010 = 649p - 400
learn more on equation here: brainly.com/question/26005958
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Since we don't know how much Eric makes per dog, let's let <em>x </em>represent that value. Let's also let <em>y</em> represent our answer.
First, let's consider the two numbers we KNOW will be in the equation. The 56 that Eric made dog sitting and the 168 he made in total on Tuesday. Now, we're going to need to use subtraction and division in this equation.
(168 - 45) ÷ <em>x</em> = <em>y</em>
Hope this answer helped you out. :)
Answer:
0.0918
Step-by-step explanation:
We know that the average amount of money spent on entertainment is normally distributed with mean=μ=95.25 and standard deviation=σ=27.32.
The mean and standard deviation of average spending of sample size 25 are
μxbar=μ=95.25
σxbar=σ/√n=27.32/√25=27.32/5=5.464.
So, the average spending of a sample of 25 randomly-selected professors is normally distributed with mean=μ=95.25 and standard deviation=σ=27.32.
The z-score associated with average spending $102.5
Z=[Xbar-μxbar]/σxbar
Z=[102.5-95.25]/5.464
Z=7.25/5.464
Z=1.3269=1.33
We have to find P(Xbar>102.5).
P(Xbar>102.5)=P(Z>1.33)
P(Xbar>102.5)=P(0<Z<∞)-P(0<Z<1.33)
P(Xbar>102.5)=0.5-0.4082
P(Xbar>102.5)=0.0918.
Thus, the probability that the average spending of a sample of 25 randomly-selected professors will exceed $102.5 is 0.0918.
Answer:
Sure, what do you need
Step-by-step explanation: