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andriy [413]
4 years ago
12

If you buy a bat and ball for $1.10 and the bat is $1 more than the ball most people would answer that the ball costs 10c. Howev

er 10c is the wrong answer but I don’t understand why. Could someone please explain why in detail
Mathematics
1 answer:
Marina CMI [18]4 years ago
5 0

Answer: the right cost is $1.05 for a bat and 0.5c for a ball.


Step-by-step explanation:

Let's imagine x in the price of bat and y is the price of the ball

From the infor we know that:

x + y= 1.10 (dollars)

and since the bat is $1 more than the ball we can ensure that:

x - 1 = y

Now we can replace y as follow:

x + x - 1 = 1.10

2x - 1 = 1.10

2x = 1.10 + 1

2x = 2.10

x= 2.10/2= 1.05 (dollars)


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SOLUTION:

Case: Hypothesis testing

Step 1: Null and Alternative hypotheses

\begin{gathered} H_0:\mu=P127.50 \\ H_1:\mu\leq P127.50 \end{gathered}

Step 2: T-test analysis

\begin{gathered} t=\frac{\hat{x}-\mu}{\frac{s}{\sqrt{n}}} \\ t=\frac{135-127.5}{\frac{75.25}{\sqrt{450}}} \\ t=2.144 \end{gathered}

Step 3: t-test with the significance level

\begin{gathered} t_{\alpha}=? \\ \alpha=0.05 \\ From\text{ }tables \\ t_{0.05}=1.654 \end{gathered}

Step 4: Comparing

t>t_{\alpha}

So tail to reject the null hypothesis. There is enough evidence at a 0.05 level of significance to claim that the mean spent is greater than P127.50.

Final answer:

Yes, there is evidence sufficient to conclude that the mean amount spent is greater than P127.50 per month at a 0.05 level of significance.

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1 year ago
What is the volume of the rectangular prism?
nignag [31]

Answer: 148.5 m3

Step-by-step explanation: I just took the quiz and got it right.

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1. An endpoint of a line segment is (4,5) and the midpoint of the line segment is (3,−2). Find the other endpoint.
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Step-by-step explanation:

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Lowest common multiple of 12, 18,56
joja [24]

Answer: The lowest common multiple of 12, 18, and 56 would be 504. Why? Well, see below for an explanation!

Step-by-step explanation: What is the lcm? Well, the lcm of two or more numbers is the lowest possible number that each number has in common as a multiple. Because we are dealing with large numbers, we can tell that the lcm will be a multiple of these numbers times at least 5. I multiplied all the numbers by 10, and it was too large and did not work. However, I backed up and tried 9.

56 x 9 = 504.


Why is this acceptable? Well, this is acceptable because I found that 504 can be divided by 12 and 18 both to get a whole number.

504 divided by 18 equals 28.

504 divided by 12 equals 42.


Using this principle, we will find that 504 is the lowest number that 12, 18, and 56 have in common.

Your final answer: 504 is the lowest common denominator. If you need extra help, let me know and I will gladly assist you.

7 0
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