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ipn [44]
2 years ago
12

Ian has 12.2 ounce bottle of ketchip. He uses 1/20 of the ketchup every time he has a buffalo burger How many ounces of ketchup

are left after Ian has eaten 4 buffalo burgers?
Mathematics
1 answer:
tatiyna2 years ago
4 0
If Ian uses 1/20 of the ketchup 4 times, this is equal to 4/20, or \frac{4}{20}.

\frac{4}{20} can be simplified to \frac{1}{5}, which means we need to work out \frac{1}{5} of 12.2

\frac{1}{5} is equivalent to 20%, which as a decimal is 0.2

0.2 x 12.2 = 2.44 - however, this is how much he has used, and we need to figure out how much is left.

12.2 - 2.44 = 9.76

So, Ian has 9.76 oz remaining :)

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The average rate of change from x = 0 to x = 15 is about −4.667. How does the average rate of change from x = 0 to x = 20 compar
Amanda [17]
First we calculate the ambio rate from x = 0 to x = 15:
 We have:
 R = ((80-10) / (0-15))
 R = -4.666666667
 We now calculate for the entire interval:
 from x = 0 to x = 20:
 R = ((80-2) / (0-20))
 R = -3.9
 Answer:
 What is the average rate of change over the entire slide?
 R = -3.9
 The average rate of change from x = 0 to x = 15 is about -4.667. How does the average rate change from x = 0 to x = 20 compare to this number?
 The percentage difference is:
 (-3.9 / -4.666666667) * (100) = 83.57142857%
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6 0
2 years ago
What is the sum of 2/10 + 6/100
kogti [31]

Answer:

26/100 which is simplified to 13/50

Step-by-step explanation:

you have to get equal denominators so multiply 2/10 by 10 on top and bottom to get 20/100 then you can add 6/100 plus 20/100 which is 26/100 . denominators stay the same 26/100 can be simplified to 13/50

6 0
2 years ago
Read 2 more answers
An engineering student answered 81 questons correctly on a 90 question test. What percent of the question did she answer correct
anyanavicka [17]

Answer:

90% of the questions she answered correctly

Step-by-step explanation:

%age = 81/90 * 100= 90 % correctness

6 0
2 years ago
If ∆ABC and ∆GEF are congruent, the value of x is___? and the value of y is ___?
attashe74 [19]

<u>Answer-</u>

<em>The value of y is </em><em>6 units</em><em>.</em>

<u>Solution-</u>

Given ∆ABC ≅ ∆GEF

If two triangles are congruent, then the corresponding sides are also congruent.

So,

EF = BC, GF = AC

Putting the values,

\Rightarrow x-y=4 --------------1

\Rightarrow x-8=2

\Rightarrow x=10 --------------------2

Putting the values of x in equation 1,

\Rightarrow 10-y=4

\Rightarrow y=10-4=6

Therefore, the value of y is 6 units.

7 0
2 years ago
Read 2 more answers
A survey conducted five years ago by the health center at a university showed that 18% of the students smoked at the time. This
podryga [215]

Answer:

test statistic (Z) is 2.5767 and p-value of the test is .009975

Step-by-step explanation:

H_{0}: percentage of students who smoke did not change

H_{a}: percentage of students who smoke has changed

z-statistic for the sample proportion can be calculated as follows:

z=\frac{p(s)-p}{\sqrt{\frac{p*(1-p)}{N} } } where

  • p(s) is the sample proportion of smoking students (\frac{50}{200} =0.25)
  • p is the proportion of smoking students in the survey conducted five years ago (18% or 0.18)
  • N is the sample size (200)

Then, z=\frac{0.25-0.18}{\sqrt{\frac{0.18*0.82}{200} } } ≈ 2.5767

What is being surveyed is if the percentage of students who smoke has changed over the last five years, therefore we need to seek two tailed p-value, which is .009975.

This p value is significant at 99% confidence level. Since .009975 <α/2=0.005, there is significant evidence that the percentage of students who smoke has changed over the last five years

5 0
2 years ago
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