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icang [17]
4 years ago
8

Calculate the upper and lower limit for a 95% confidence interval about this mean. a family needs a new car, but isn't sure they

can fit the payment into their budget. a sample of 36 months of grocery bills yields a mean of $94 with a standard deviation of $10. if the upper limit of a 95% confidence level is below $100, the family can afford to buy the car. standard error = (standard deviation)/(square root of sample size) upper limit (dollars and cents) lower limit (dollars and cents)
Mathematics
1 answer:
Ket [755]4 years ago
8 0
<span>Answer: Where:
θ = confidence value
n = number of observations
μ = mean
Θ = standard deviation
... then your interval will be:
μ - θΘ/√n ≤ X ≤ μ - θΘ/√n
For some reason they want you to calculate the standard error, which is the Θ/√n section, and I mentioned the 1.96 value, so the above equation simplifies to: μ - 1.96SE ≤ X ≤ μ - 1.96SE</span>
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If the difference of a number and four is doubled the result is 1/4 less than the number. find the number
sukhopar [10]
The formula is  (2)(n-4) = n-1/4

Mult both sides by 4: 

                         8n - 32 = 4n -1, or 4n = 31, or n=31/4.

If this is not what you expected, please ensure that you have copied down the original problem correctly.  What do you mean by "1/4 less?"

Let's try    (2)(n-4) = 1n-(1/4)n = (3/4)n.  Then,

2n-8 = (3/4)n, or (5/4)n = 8.  Mult. both sides by (4/5), we get:

n = (5/4)(8) = 10.  Is that what you were hoping for?

8 0
3 years ago
The sum of three consecutive odd integers is-219. What is the first number in the set?
Alex73 [517]

Answer:

-75

Step-by-step explanation:

Let us consider the first  odd number to be 'x'.

Thus:

  1. 1st odd number: x
  2. 2nd odd number: x+2
  3. 3rd odd number: x+3

According to the question, the sum of these three consecutive ODD numbers should be equal to -219

So,

x + x + 2 + x + 4 = -219

3x + 6 = -219

3x = -225

x = -75

3 0
3 years ago
How to write into an equation
Rama09 [41]

\bf \stackrel{\textit{sum of 22 and \underline{g}ail's height}}{22+g}~~\stackrel{is}{=}~~74\implies 22+g=74

5 0
3 years ago
How can I factor 5x^2 + 26x - 24 = 0 using the completing the square method.
kifflom [539]
<h2><u>QUADRATIC EQUATION</u></h2>

<h2>\mathbb{ANSWER:}</h2>
  • \bold{x = 0.8 \: } \:  \sf \:  {\color{grey}or} \:  \:  \:  \bold{ x=  \frac{4}{5} } \\

  • \bold{x =  - 6}

— — — — — — — — — —

<h3>Step-by-step explanation:</h3>

<u>How can </u><u>we</u><u> factor 5x^2 + 26x - 24 = 0 using the completing the square </u><u>method?</u>

Let's solve your equation step-by-step.

\bold{Given \:  Equation: \color{brown} 5x²+26x-24=0}

First, add 24 to both sides.

  • \bold{5x²+26x-24 - \purple{ 24} = 0 +  \purple{24}}

  • \bold{ \implies \: 5x²+26x = 24 }

Since the coefficient of 5x² is 5, divide both sides by 5.

  • \bold{ \frac{5 {x}^{2} + 26x }{5} =  \frac{24}{5}  } \\

  • \bold{ \implies \:  {x}^{2} +  \frac{26}{5} x =  \frac{24}{5}  } \\

The coefficient of 26/5x is 26/5. So, let b=26/5.

Then we need to add (b/2)²=169/25 to both sides to complete the square.

Add 169/25 to both sides.

  • \bold{ {x}^{2} +  \frac{26}{5} x +  \frac{  \purple{169}}{ \purple{25}}=  \frac{24}{5}    +  \frac{ \purple{169}}{ \purple{25}} } \\

  • \bold{ \implies \:\bold{ {x}^{2} +  \frac{26}{5} x +  \frac{  169}{ {25}}=  \frac{289}{25}  } } \\

Factor the left side.

  • \bold{(x +  \frac{13}{5} ) {}^{2} =  \frac{289}{25}  } \\

Take square root.

  • \bold{x +  \frac{13}{5} = ±  \:  \sqrt{ \frac{289}{25}  }} \\

Then, add (-13)/5 to both sides.

  • \bold{x +  \frac{13}{5} +  \frac{\purple{ - 13} }{\purple{ 5}} = \frac{{ - 13} }{{ 5}} ± \:      \sqrt{ \frac{289}{25}}} \\

  • \bold{  \: x =  \frac{ - 13}{5} ± \sqrt{ \frac{289}{25} } } \\

  • \implies \: \underline{ \boxed{ \bold{   \frac{4}{5}  } \sf  \:  \: or \:  \:  \bold{ x =  - 6}}} \\

_______________❖_______________

3 0
2 years ago
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the expression 12(x+4) represents the total number of CDs Mie bought in April and May at $12 each. Which property is applied to
Georgia [21]
Distributive Property because 12(x+4)= 12x (the first number or letter in the parenthesis times 12) plus 12x4 (the second number in the parenthesis)
So together it is:
12x+(12x4)
4 0
3 years ago
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