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Zielflug [23.3K]
3 years ago
11

What is 193.492 rounded to the nearest hundredth?

Mathematics
2 answers:
AnnZ [28]3 years ago
4 0
The answer is 193.49
Neko [114]3 years ago
3 0
193.49 2 rounds down instead of up
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Construct a 90% confidence interval for μ1-μ2 with the sample statistics for mean calorie content of two​ bakeries' specialty pi
DIA [1.3K]

Answer:

The 90% confidence interval for the difference in mean (μ₁ - μ₂) for the two bakeries is; (<u>49</u>) < μ₁ - μ₂ < (<u>289)</u>

Step-by-step explanation:

The given data are;

Bakery A

\overline x_1<em> </em>= 1,880 cal

s₁ = 148 cal

n₁ = 10

Bakery B

\overline x_2<em> </em>= 1,711 cal

s₂ = 192 cal

n₂ = 10

\left (\bar{x}_1-\bar{x}_{2}  \right ) - t_{c}\cdot \hat \sigma \sqrt{\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}}}< \mu _{1}-\mu _{2}< \left (\bar{x}_1-\bar{x}_{2}  \right ) + t_{c}\cdot \hat \sigma \sqrt{\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}}}

df = n₁ + n₂ - 2

∴ df = 10 + 18 - 2 = 26

From the t-table, we have, for two tails, t_c = 1.706

\hat{\sigma} =\sqrt{\dfrac{\left ( n_{1}-1 \right )\cdot s_{1}^{2} +\left ( n_{2}-1 \right )\cdot s_{2}^{2}}{n_{1}+n_{2}-2}}

\hat{\sigma} =\sqrt{\dfrac{\left ( 10-1 \right )\cdot 148^{2} +\left ( 18-1 \right )\cdot 192^{2}}{10+18-2}}= 178.004321469

\hat \sigma ≈ 178

Therefore, we get;

\left (1,880-1,711  \right ) - 1.706\times178 \sqrt{\dfrac{1}{10}+\dfrac{1}{18}}< \mu _{1}-\mu _{2}< \left (1,880-1,711  \right ) + 1.706\times178 \sqrt{\dfrac{1}{10}+\dfrac{1}{18}}

Which gives;

169 - \dfrac{75917\cdot \sqrt{35} }{3,750} < \mu _{1}-\mu _{2}< 169 + \dfrac{75917\cdot \sqrt{35} }{3,750}

Therefore, by rounding to the nearest integer, we have;

The 90% C.I. ≈ 49 < μ₁ - μ₂ < 289

4 0
3 years ago
I need help with this... I don't understand geometry at all lol.
Kitty [74]
1. vertical angle theorem and triangle angle sum theorem

2. The sum of the interior angles of a triangle = 180
    so < x = 180 - (70 + 30) = 180 - 100 = 80
    and < y is a vertical angle to < x...and vertical angles are equal..
    so < y = 80
8 0
3 years ago
Give one example of when you would make a frequency table to solve a problem
Ulleksa [173]
<span>For example, you are trying to study the effects of depression in women and men.
Suppose you used a scale for depression in a form of test. There are a lot of raw scores given since your participants are over a hundred. You can use a frequency table to cluster and categorize the parameters which are the raw scores in a more tabled setting for example

Raw scores f
1-5                1
6-10              5
11-15            9
16-20            55



Statistics. </span><span>Statistics is a branch of mathematics which is the scientific study of mathematical values pertaining to qualitative descriptions and transcribe them into quantifying values such as the descriptive statistics and infuses these quantities in the field of inferential statistics. In these two categories involve probabilities, distribution and deviations which are mainly compositions of the descriptive statistics. Inferential statistics will involve comparison and variation of the given values. Methods are t-test, analysis of variance, and two-way analysis of variance and other methods.<span>
</span></span>
3 0
3 years ago
At which root does the graph of f(x) = (x – 5)3(x + 2)2 touch the x-axis?
Sophie [7]

Answer:

-2

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Find the perimeter of a square with sides of length 16.5 m
masya89 [10]

perimeter of a shape is just adding all side lengths together. Since it is a square, all sides are the same so just multiply 16.5 x 4

which is = 66 m.

3 0
3 years ago
Read 2 more answers
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