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Nikolay [14]
3 years ago
5

A recipe for 4 dozen cookies calls for 3/4 cup of sugar. How much sugar is needed to make 2 dozen cookies?

Mathematics
2 answers:
Veronika [31]3 years ago
6 0
3/8 cups of sugar............
timama [110]3 years ago
6 0
I think it might be 1/4 cups, im not really sure, sorry if i wrong
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Connecticut families were asked how much they spent weekly on groceries. Using the following data, construct and interpret a 95%
Amanda [17]

Answer:

The 95% confidence interval for the population mean amount spent on groceries by Connecticut families is ($73.20, $280.21).

Step-by-step explanation:

The data for the amount of money spent weekly on groceries is as follows:

S = {210, 23, 350, 112, 27, 175, 275, 50, 95, 450}

<em>n</em> = 10

Compute the sample mean and sample standard deviation:

\bar x =\frac{1}{n}\cdot\sum X=\frac{ 1767 }{ 10 }= 176.7

s= \sqrt{ \frac{ \sum{\left(x_i - \overline{x}\right)^2 }}{n-1} }       = \sqrt{ \frac{ 188448.1 }{ 10 - 1} } \approx 144.702

It is assumed that the data come from a normal distribution.

Since the population standard deviation is not known, use a <em>t</em> confidence interval.

The critical value of <em>t</em> for 95% confidence level and degrees of freedom = n - 1 = 10 - 1 = 9 is:

t_{\alpha/2, (n-1)}=t_{0.05/2, (10-1)}=t_{0.025, 9}=2.262

*Use a <em>t</em>-table.

Compute the 95% confidence interval for the population mean amount spent on groceries by Connecticut families as follows:

CI=\bar x\pm t_{\alpha/2, (n-1)}\cdot\ \frac{s}{\sqrt{n}}

     =176.7\pm 2.262\cdot\ \frac{144.702}{\sqrt{10}}\\\\=176.7\pm 103.5064\\\\=(73.1936, 280.2064)\\\\\approx (73.20, 280.21)

Thus, the 95% confidence interval for the population mean amount spent on groceries by Connecticut families is ($73.20, $280.21).

7 0
2 years ago
Bryce has 220 feet of fencing that will enclosure a rectangular corral. One side of the corral will be 48 feet long. What will b
Gala2k [10]

Answer:

10560 square feet

Step-by-step explanation:

If 2 sides are 48 feet, then we are left with

220-2*48=124 feet for the remaining side pieces.

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So our dimensions must be 48 x 62.

This gives us an area of

220*48=10560ft^{2}

6 0
3 years ago
<img src="https://tex.z-dn.net/?f=-2%5Csqrt%7B18%7D%20%2B2%5Csqrt%7B2%7D" id="TexFormula1" title="-2\sqrt{18} +2\sqrt{2}" alt="-
UkoKoshka [18]

Answer:

- 4\sqrt{2}

Step-by-step explanation:

Using the rule of radicals

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2 years ago
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