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Alex17521 [72]
4 years ago
7

"Eighty and fifteen hundredths" in numbers(decimals)

Mathematics
1 answer:
Black_prince [1.1K]4 years ago
4 0

Answer:

80.15

Step-by-step explanation:

Eighty and fifteen hundredths = 80.15

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Which is an equation of the line that goes through the points (-4, -1) and (-2, 3)?
Anna007 [38]

Answer:

The answer is B ...........

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Does a point have a length and a width
zaharov [31]

Answer:

The answer is no.

Step-by-step explanation:

A point is neither a line or a ray, or anything that involves a line. It's just a dot, a location.

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3 years ago
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A corner store sells two kinds of baked goods: cakes and pies. A cake costs $5 and a pie costs $7. In one day, the store sold 15
riadik2000 [5.3K]
C+p=15
5c+7p=91

multiply 5 to 1st equation and subtract it from 2nd
multiply 5 to 1st equation to get 5c+5p=75 now subtract this from 2nd equation

thats 2p=16 so
p=8
now we find c from

c+p=15
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6 0
3 years ago
Scrat the squirrel has a few nuts. When he put them in groups of 5 nuts, two nuts were left, and
iragen [17]

Answer:

The options are not shown, so i will solve this in a general way.

Let's suppose that there are N nuts

If we divide the N nuts into groups of 5, there will be a remainder of 2 nuts.

If we divide the N nuts into groups of 3, there is no remainder.

This means taht N is a multiple of 3. then we can write:

N = 3*k

where k is a random integer.

Now, we know that when we divide N by 5, there is a remainder of 2 nuts, this means that N is equal to a multiple of 5 plus 2, then we can write:

N = 5*j + 2

where j is a random integer.

Now we only need to find a pair of k and j (both positive integers) such that:

3*k = 5*j + 2

We can rewrite this as:

k = (5/3)*j + (2/3)

Now we could just input different values of j, and see if k is also an integer:

j = 2

k = (5/3)*2 + 2/3 = 10/3 + 2/3 = 12/3 = 4

Then the pair j = 2, k = 4 is a possible solution.

N = 3*k = 3*4 = 12

N = 5*j + 2 = 5*2 + 2 = 12

From this we can conclude that N = 12, so Scrat has 12 nuts.

Now with the equation

k = (5/3)*j + (2/3)

We can find other possible combinations of j and k, that will give different values for N.

for example, if j = 5:

k = (5/3)*5 + 2/3 = 25/3 + 2/3 = 27/3 = 9

Then the pair j = 5, k = 9 is also a possible solution:

N = 3*k = 3*9 =  27

N = 5*j + 2 = 5*5 + 2 = 27

In this case, Scrat has 27 nuts.

5 0
3 years ago
A machine is designed to fill 16-ounce bottles of shampoo. When the machine is working properly, the amount poured into the bott
Andreyy89

Answer:

(15.8495,16.2505)  

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 16.05 ounces

Standard Deviation, σ = 0.2005 ounces

We are given that the distribution of amount poured into the bottles is a bell shaped distribution that is a normal distribution.

Empirical rule:

  • It states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ).
  1. It shows that 68% falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).

Confidence interval:

\mu \pm 2\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

16.05 \pm 2(\frac{0.2005}{\sqrt{4}} ) = 16.05 \pm 0.2005 = (15.8495,16.2505)

4 0
3 years ago
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