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Aleks04 [339]
3 years ago
8

I have been stuck on number 10 (this problem) for a while now. Can anyone help me with it and walk me through every step in orde

r to get a correct answer for the math problem in the picture? Thanks!! I’ll be giving away as many points as I can for a response! It must follow the criteria listed above though. Help and steps.

Mathematics
2 answers:
Serga [27]3 years ago
6 0

You know that a number divided by itself is 1, so this is

\dfrac{7^{-1}\times 7^{-7}}{7^{-7}}=7^{-1}\times\left(\dfrac{7^{-7}}{7^{-7}}\right)\\\\=7^{-1}\times 1=7^{-1}=\bf{\dfrac{1}{7}}

Something to a negative power is the reciprocal of that thing to the opposite positive power.

kotykmax [81]3 years ago
5 0
When you multiply a same number but with different powers, you can simply add the powers together. So, in your question, add the powers -1 and -7 together.
7^(-1) x 7^(-7) = 7^(-8)

When you divide a same number but with different powers, you subtract the power at the top with the power from the denominator. So, -8 - (-7) = -1.
7^(-8) / 7^(-7) = 7^(-1)

So your answer would be 7^(-1).
Hopefully my explanation was clear?
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What is the approximate value for the modal daily sales?
Aleksandr [31]

Answer:

Step-by-step explanation:

Hello!

<em>The table shows the daily sales (in $1000) of shopping mall for some randomly selected  days </em>

<em>Sales 1.1-1.5 1.6-2.0 2.1-2.5 2.6-3.0 3.1-3.5 3.6-4.0 4.1-4.5 </em>

<em>Days 18 27 31 40 56 55 23 </em>

<em>Use it to answer questions 13 and 14. </em>

<em>13. What is the approximate value for the modal daily sales? </em>

To determine the Mode of a data set arranged in a frequency table you have to identify the modal interval first, this is, the class interval in which the Mode is included. Remember, the Mode is the value with most observed frequency, so logically, the modal interval will be the one that has more absolute frequency. (in this example it will be the sales values that were observed for most days)

The modal interval is [3.1-3.5]

Now using the following formula you can calculate the Mode:

Md= Li + c[\frac{(f_{max}-f_{prev})}{(f_{max}-f_{prev})(f_{max}-f_{post})} ]

Li= Lower limit of the modal interval.

c= amplitude of modal interval.

fmax: absolute frequency of modal interval.

fprev: absolute frequency of the previous interval to the modal interval.

fpost: absolute frequency of the posterior interval to the modal interval.

Md= 3,100 + 400[\frac{(56-40)}{(56-40)+(56-55)} ]= 3,476.47

<em>A. $3,129.41 B. $2,629.41 C. $3,079.41 D. $3,123.53 </em>

Of all options the closest one to the estimated mode is A.

<em>14. The approximate median daily sales is … </em>

To calculate the median you have to identify its position first:

For even samples: PosMe= n/2= 250/2= 125

Now, by looking at the cumulative absolute frequencies of the intervals you identify which one contains the observation 125.

F(1)= 18

F(2)= 18+27= 45

F(3)= 45 + 31= 76

F(4)= 76 + 40= 116

F(5)= 116 + 56= 172 ⇒ The 125th observation is in the fifth interval [3.1-3.5]

Me= Li + c[\frac{PosMe-F_{i-1}}{f_i} ]

Li: Lower limit of the median interval.

c: Amplitude of the interval

PosMe: position of the median

F(i-1)= accumulated absolute frequency until the previous interval

fi= simple absolute frequency of the median interval.

Me= 3,100+400[\frac{125-116}{56} ]= 3164.29

<em>A. $3,130.36 B. $2,680.36 C. $3,180.36 D. $2,664</em>

Of all options the closest one to the estimated mode is C.

5 0
3 years ago
What is the value of 6 + 2x when x = 5?<br><br> (A) 4<br> (B) 13<br> (C)16<br> (D) 40
jasenka [17]

so x=5

substituting for x in the equation we get:

6+2 \times 5 \\  = 6 + 10 = \\  = 16

Ans C: 16

4 0
2 years ago
A carpenter can make at most 20 tables and at most 30 chairs per day. Each
baherus [9]

Answer:Its B

Step-by-step explanation:

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Doug's bar is 50 km away from Ben's bar. let me know if I need to explain.
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2 years ago
Is there a proportional relationship between x and y? Explain.
Vlad1618 [11]
I don’t think so but divide the top one by the bottom one for every one of them and if it is all the same answer they are proportional x/y
4 0
2 years ago
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