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amid [387]
3 years ago
11

Jonathan bought a new pair of tennis shoes that originally cost $35 but was only on for sale for 20%off.How much did he pay (wit

hout sales tax)
Mathematics
1 answer:
jolli1 [7]3 years ago
8 0
Your answer would be $28
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Can somebody please solve this and explain it with steps?
Rina8888 [55]
The lateral surface area consists of 2 sides with 11 unit long and 4 unit high, and 2 sides with 8 unit long and 4 unit high. Each side is a rectangle. So basically you use area of rectangle to determine the lateral surface area
lat sa = 2 × area of rectangle + 2 × area of rectangle

In this case, it will be
lat sa = (2 × l × h) + (2 × w × h)
lat sa = (2 × 11 × 4) + (2 × 8 × 4)
lat sa = 88 + 64
lat sa = 152

The lateral surface area is 152 squares unit
5 0
3 years ago
There are 169 million registered voters in the us. determine an interval for the number (how many) of registered democrats in th
VashaNatasha [74]
Part A:

Given that in a sample of 400 registered voters, 204 were democrats, i.e. n = 400, <span>\hat{p}= \frac{204}{400} =0.51

</span>The 95% confidence interval for the proportion of registered democrats voters in the population is given by:

95\%\ C.I.=\hat{p}\pm z_{\alpha/2}\sqrt{\frac{\hat{p}(1-\hat{p})}{n}} \\  \\ =0.51\pm1.96\sqrt{\frac{0.51(1-0.51)}{400}}=0.51\pm1.96\sqrt{\frac{0.2499}{400}} \\  \\ =0.51\pm1.96(0.025)=0.51\pm0.049=(0.51-0.049,\ 0.51+0.049) \\  \\ =\bold{(0.461,\ 0.559)}



Part B:

Given that t<span>here are 169 million registered voters in the US, the interval for the number of registered democrats in the population is given by

[0.461(169,000,000), 0.559(169,000,000)] = (77,909,000, 94,471,000)
</span>
6 0
3 years ago
There are 5 different coloured cups in a row.
Marizza181 [45]

There are 12 possible arrangements.

------------------------

  • Considering that the blue cup has to be on one end, we consider the number of arrangements possible with the other 4 cups, then multiply by 2(considering the blue on each end).

------------------------

  • Considering green and yellow before red and purple, there are 2 \times 2 = 4 outcomes(G-Y-R-P, G-Y-P-R, Y-G-R-P and Y-G-P-R).
  • Another two possible outcomes are yellow-purple and green-red, or vice-versa, thus 4 + 2 = 6 outcomes.
  • To account for the blue on the end, multiplying by 2. 2 \times 6 = 12
  • There are 12 possible arrangements.

A similar problem is given at brainly.com/question/24617788

6 0
3 years ago
Write the equation of the line that passes through (1, 3) and has a slope of 2 in point-slope form
raketka [301]

Answer:

y-3= 2(x-1)

Step-by-step explanation:

1. The equation of a line in point slope form is y-y1= m(x-x1)

2. m=slope and (x1,y1) is the point the line passes through

3. The point the line passes through is (1,3)

4, The slope is 2

5. Therefore the answer is y-3=2(x-1)

3 0
3 years ago
Read 2 more answers
A student wants to report on the number of books her friends read each week. The collected data are below: 0 24 1 4 5 2 5 4 Whic
barxatty [35]

Median: middle number

Mean: average

How to calculate the median:

1) line the numbers in order from least to greatest

0 1 2 4 5 24

(you do not need to write all the fours or fives, one four or five is enough to represent it)

2) Next, take one number off each end at a time until you have one number in the middle left (if there are two numbers left in the middle, add them together, than divide them by two)

3) The median is 4 becuase it is in the middle.

How to calculate the mean:

1) Add all the numbers together

0+24+1+4+5+2+5+4 = 45

2) Now we divide 45 by 8 because there are eight numbers in the list

45/8 = 5

3) The mean is 5.

Answer: Median = 4, Mean = 5

live with love, live with Jesus

4 0
3 years ago
Read 2 more answers
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