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Furkat [3]
3 years ago
7

Mike wants to make meatloaf. His recipe uses a total of 8 lbs of meat. If he uses a 3 to 1 ratio of beef to pork how much pork w

ill he use?
Mathematics
2 answers:
Nady [450]3 years ago
5 0
2 pounds of pork, 6 pounds beef
sergey [27]3 years ago
3 0
Let x represent the amount of beef and y represent the amount of pork Mike used in recipe.

He used total 8 lbs of meat, so we can write:

x + y = 8

He uses 3:1 ratio of beef to pork, so we can write:

x :y  = 3 : 1
x = 3y

Using this value of x in first equation, we get:

3y + y =8
4y = 8
y = 2

x = 3y = 3(2) = 6

This means Mike used 6 lbs of beef and 2 lbs of pork for his recipe
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What is meant by the term "90% confident" when constructing a confidence interval for a mean? Group of answer choices
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Answer:

The question is not complete, below is the complete question:

What is meant by the term 90% confident? when constructing a confidence interval for a mean?

a. If we took repeated samples, approximately 90% of the samples would produce the same confidence interval.

b. If we took repeated samples, approximately 90% of the confidence intervals calculated from those samples would contain the sample mean.

c. If we took repeated samples, approximately 90% of the confidence intervals calculated from those samples would contain the true value of the population mean.

d. If we took repeated samples, the sample mean would equal the population mean in approximately 90% of the samples.

Answer:

The correct answer is:

If we took repeated samples, approximately 90% of the confidence intervals calculated from those samples would contain the true value of the population mean.  (c)

Step-by-step explanation:

a 90% confidence level means that if repeated samples were taken, 9 out of 10 times, the confidence intervals of the sample chosen will be close to the mean (true value), which is a true representation of the population parameter. when using confidence intervals, there are always margins of allowable accuracy, and this is suggested by using standard diviations snd variances.

I attached a simple document to this answer that will give you more insight into confidence intervals used in statistics.

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The square of the sum of two numbers is 144 and the sum of of their square is 180, find the number... Please I really need the a
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Answer:

The numbers are either ±13.35 and ±1.35 or ±1.35 and ±13.3

Step-by-step explanation:

Let the two numbers be 'x' and 'y'.

Given:

The squares of the sum of two numbers = 144

The sum of their squares = 180

The sum of the numbers = x+y

The square of the sum of numbers = (x+y)^2

Square of first number = x^2

Square of second number = y^2

The sum of their squares = x^2+y^2

Now, as per question:

(x+y)^2=144---(1)\\\\x^2+y^2=180---(2)

Expanding equation (1) using the formula (a+b)^2=a^2+b^2+2ab

This gives,

(x+y)^2=144\\\\x^2+y^2+2xy=144\\\\\textrm{Plug in the value of }x^2+y^2\textrm{ from equation (2)}\\\\180+2xy=144\\\\2xy=144-180\\\\2xy=-36\\\\xy=-\frac{36}{2}\\\\xy=-18\\\\y=-\frac{18}{x}---(3)

Plug in the value of 'y' from equation (3) in equation (1). This gives,

x^2+(-\frac{18}{x})^2=180\\\\x^2+\frac{324}{x^2}=180\\\\x^4+324=180x^2\\\\x^4-180x^2+324=0\\\\\textrm{On solving, we get:}\\\\x^2=178.2\ or\ x^2=1.8\\\\\textrm{Square root both sides, we get:}\\\\x=\pm13.35\ or\ x=\pm1.35

Therefore,

y=-\frac{18}{x}=-\frac{18}{\pm13.35} = \pm1.35\ or\\\\y=-\frac{18}{x}=-\frac{18}{\pm1.35}=\pm13.3

Therefore, the numbers are either ±13.35 and ±1.35 or ±1.35 and ±13.3

6 0
3 years ago
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