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Maurinko [17]
2 years ago
6

Bella baked a two layer cake.The bottom layer has dimensions of 4 inch x 6inch x 8inch.The dimensions of the top layer are half

bottom.What is the volume of the top layer.
Mathematics
1 answer:
Flura [38]2 years ago
3 0

Answer:

30 is the answer because you need to multiple 4 and 6

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82 because it is the opposite of -(-82)
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Show the fraction, decimal, and final percent for each. Round your percent to the
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66 to 70 and 85 to 90

Step-by-step explanation:

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public accountant financial planner 50.2 48.0 59.8 49.2 57.3 53.1 59.2 55.9 53.2 51.9 56.0 53.6 49.9 49.7 58.5 53.9 56.0 52.8 51
ddd [48]

Using the formula of test statistic, the value of the test statistic is 2.6961.

The mean of the public accountant is

Mean x(p) =50.2+59.8+57.3+59.2+53.2+56.0+49.9+58.5+56.0+51.9/10

x(p) = 55.2

Now the standard deviation of public accountant is

SD(p) = √{∑(x-x(p))^2/n-1}

SD(p) = √(50.2-55.2)^2+(59.8-55.2)^2+..................+(51.9-55.2)^2/n-1

After solving;

SD(p) = 3.34

The mean of the financial planner is

Mean x(F) =48.0+49.2+53.1+55.9+51.9+53.6+49.7+53.9+52.8+48.9/10

x(F) = 51.6

Now the standard deviation of financial planner is

SD(F) = √{∑(x-x(p))^2/n-1}

SD(F) = √(48.0-51.6)^2+(49.2-51.6)^2+..................+(48.9-51.6)^2/n-1

After solving;

SD(F) = 2.57

Test Statistic (t) = \frac{x(P)-x(f)}{\sqrt{\left(\frac{(n(p)-1)s(p)^2+(n(f)-1)s(f)^2}{n(p)+n(f)-2}\left(\frac{1}{n(p)}+\frac{1}{n(f)}\right)\right)}}

t = \frac{55.2-51.61}{\sqrt{\left(\frac{(10-1)(3.34))^2+(10-1)(2.57)^2}{10+10-2}\left(\frac{1}{10}+\frac{1}{10}\right)\right)}}

After solving

t = 2.6961

Hence, the value of the test statistic is 2.6961.

To learn more about test statistic link is here

brainly.com/question/14128303

#SPJ4

The right question is

public accountant  50.2  59.8  57.3  59.2  53.2  56.0  49.9  58.5  56.0  51.9

financial planner   48.0  49.2  53.1   55.9  51.9   53.6  49.7  53.9 52.8  48.9

Use a 0.05 level of significance and test the hypothesis that there is no difference between the starting annual salaries of public accountants and financial planner

Find the value of the test statistic.

4 0
1 year ago
Loren drove 200 miles at a certain rate, and his wife, Lois, drove 100 miles at a rate 10 mph slower. If Loren had driven for th
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As long as Loren drove, the law of motion was

200 = st_1 \implies t_1 = \dfrac{200}{s}

As long as Loid drove, the law of motion was

100 = (s-10)t_2 \implies t_2 = \dfrac{100}{s-10}

So, the total time they took is

t_1+t_2=\dfrac{200}{s}+\dfrac{100}{s-10}

Had Loren driven the whole time, the law of motion would have been

300=st_3 \implies t_3 = \dfrac{300}{s}

And we know that this time would have been 30 minutes (i.e. 0.5 hours) faster. So, we have

t_3 = t_1+t_2-0.5

This translates into

\dfrac{300}{s}=\dfrac{200}{s}+\dfrac{100}{s-10}-\dfrac{1}{2}

If we subtract 200/s from both sides, we have

\dfrac{100}{s}=\dfrac{100}{s-10}-\dfrac{1}{2}

We can simplify the right hand side by summing the two fractions:

\dfrac{100}{s-10}-\dfrac{1}{2} = \dfrac{200-(s-10)}{2(s-10)}=\dfrac{210-s}{2(s-10)}

So, we have to solve

\dfrac{100}{s}=\dfrac{210-s}{2(s-10)}

If we cross multiply the denominators, we have

200(s-10)=s(210-s) \iff 200s-2000=210s-s^2 \iff s^2-10s-2000=0

Which yields the solutions

s=-40,\quad s=50

We accept the positive solution, because the negative would mean to travel backwards, so Loren's rate was 50mph

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125664.3 m²

I'm required 20 characters minimum

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