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2 years ago

Larger is 32 ounces and sells for 2.99 and smaller is 18 ounce and sells for 1.59

Mathematics

1 answer:

Dominik [7]2 years ago

4 0

Divide price by size of each and compare the u it price:

2.99/32 = 0.0934 per ounce

1.59/18 = 0.0883 per ounce

The 18 ounce do $1.59 has a lower cost per ounce so is the better buy

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A nutrition laboratory tested 25 "reduced sodium" hotdogs of a certain brand, finding that the mean sodium content is 310 mg wit

inessss [21]

Answer:

The 95% confidence interval is $295.9 < \mu< 324.1$

A 95% level of confidence mean that there is 95% chance that the true population mean will be in this interval

Step-by-step explanation:

From the question we are told that

The sample size is $n = 25$

The mean is $\= x = 310 \ mg$

The standard deviation is $\sigma = 36 \ mg$

Given that the confidence level is 95% then the level of significance is mathematically represented as

$\alpha = 100 - 95$

=> $\alpha = 5\%$

=> $\alpha = 0.05$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table , the value is

$Z_{\frac{\alpha }{2} } =Z_{\frac{0.05 }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

substituting values

$E = 1.96 * \frac{36 }{\sqrt{25} }$

$E = 14.1$

The 95% level of confidence interval is mathematically represented as

$\= x - E < \mu$

substituting values

$310- 14.1 < \mu< 310+ 14.1$

$295.9 < \mu< 324.1$

The 95% level of confidence mean that there is 95% chance that the true population mean will be in this interval

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3 years ago

What are the restrictions for y <br> X=10/5+y

Naya [18.7K]

Answer:

$y\ne-5$

Step-by-step explanation:

So you have the equation:

$x=\frac{10}{5+y}$ . As you may know, you cannot divide by 0, so y has to be restricted in a way that the denominator is never equal to 0. So to find when y makes the denominator 0, simply set the denominator equal to 0, and solve for y. This gives you the equation: 5+y = 0, y=-5. So the y value CANNOT be equal to -5. Because it makes the denominator 0. so $y\ne-5$ would be the restriction.

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2 years ago

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Answer:

hexagon

Step-by-step explanation:

it has 6 sides making it a hexagon

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Answer:

Step-by-step explanation:

1+1=2

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3 years ago

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The sum of the areas of two circles is 8pie square meters. Find the length of a radius of each circle ifone of them is twice as

NeX [460]

Nice

area=pir^2
the areas are
pir^2+pi(2r)^2
they add to 8pi

8pi=pir^2+pi(2r)^2
undistribute pi
8pi=pi(r^2+(2r)^2)
divide both sides by pi
8=r^2+(2r)^2
expand
8=r^2+4r^2
add
8=5r^2
divide by 5
8/5=r^2
sqrt both sides
√(8/5)=r
double since it is double
2√(8/5) is radius of bigger aka (4√10)/5

radius=(4√10)/5

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