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3 years ago

Graph the inequality x>2

Mathematics

1 answer:

denis23 [38]3 years ago

5 0

Answer:

no problem :) have a nice day

Step-by-step explanation:

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Directions for questions 4 & 5: We selected a random sample of 100 StatCrunchU students, 67 females and 33 males, and analyz

GaryK [48]

Answer:

The 95% confidence interval for the difference between means is (-2164.21, -299.13).

The lower limit on the confidence interval is -$2164.21.

The upper limit on the confidence interval is -$299.13.

Step-by-step explanation:

The sample data is:

Gender Mean Std. dev. n

Female 2577.75 1916.29 67

Male 3809.42 2379.47 33

We have to calculate a 95% confidence interval for the difference between means, with a T-model.

The sample 1, of size n1=67 has a mean of 2577.75 and a standard deviation of 1916.29.

The sample 2, of size n2=33 has a mean of 3809.42 and a standard deviation of 2379.47.

The difference between sample means is Md=-1231.67.

$M_d=M_1-M_2=2577.75-3809.42=-1231.67$

The estimated standard error of the difference between means is computed using the formula:

$s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{1916.29^2}{67}+\dfrac{2379.47^2}{33}}\\\\\\s_{M_d}=\sqrt{54808.468+171572.045}=\sqrt{226380.513}=475.795$

The t-value for a 95% confidence interval is t=1.96.

The margin of error (MOE) can be calculated as:

$MOE=t\cdot s_M=1.96 \cdot 475.795=932.54$

Then, the lower and upper bounds of the confidence interval are:

$LL=M_d-t \cdot s_{M_d} = -1231.67-932.54=-2164.21\\\\UL=M_d+t \cdot s_{M_d} = -1231.67+932.54=-299.13$

The 95% confidence interval for the difference between means is (-2164.21, -299.13).

6 0

3 years ago

Help me fast please. What are the advantages and disadvantages of using a double-bar graph?

tester [92]

This type or graph is used to show comparisons between values, with a bar representing each separate value. Categories or groups are commonly plotted on the horizontal axis (axis X) and a quantitative or numerical scale is plotted on the vertical axis (axis Y). Bar graphs are used to plot both continuous and discontinuous, or discrete, data.

advantages: show each data category in a frequency distribution, display relative numbers/proportions of multiple categories, summarize a large amount of data in a visual, easily intepretable form, make trends easier to highlight than tables do, estimates can be made quickly and accurately, permit visual guidance on accuracy and reasonableness of calculations, accessible to a wide audience

disadvantages: often require additional explanation, fail to expose key assumptions, causes, impacts and patterns, can be easily manipulated to give false impressions

4 0

3 years ago

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erik [133]

Answer:

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Step-by-step explanation:

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3 years ago

Solve this quadratic equation using the quadratic formula. x 2 + 8x - 5 = 0

nadezda [96]