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katen-ka-za [31]
3 years ago
12

I need help i have limited time to finish and it's a big test!

Mathematics
1 answer:
allsm [11]3 years ago
5 0

Answer:

first one

Step-by-step explanation:

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Five students visiting the student health center for a free dental examination during National Dental Hygiene Month were asked h
Andrews [41]

Answer:

[0.9 months, 32.69 months]

Step-by-step explanation:

The mean is

\bf \bar x=\frac{5+17+12+21+29}{5}=16.8

The standard deviation is

\bf s=\sqrt{\frac{(5-16.8)^2+(17-16.8)^2+(12-16.8)^2+(21-16.8)^2+(29-16.8)^2}{5}}=8.1092

Now, we have to find two values a and b such that the area under the Normal curve with mean 16.8 and standard deviation 8.1092 between a and b equals <em>95% = 0.95 </em>

Using a spreadsheet we find these values are

a = 0.906

b = 32.694

<h3>(See picture) </h3>

and our 95% confidence interval for the mean number of months elapsed since the last visit to a dentist for the population of students participating in the program rounded to two decimal places is

[0.9 months, 32.69 months]

4 0
3 years ago
Given that x=3sin​​θ-2 and y=3cos​​​θ+4.Show that (x+2)²+ (y-4)²=9​​​​​​
asambeis [7]

Answer:

First, plug-in x and y as 3sin​​θ-2 and 3cos​​​θ+4 into the equation, respectively:

((3\sin (\theta)-2)+2)^2 + ((3\cos (\theta)+4)-4)^2 = 9

Then, +2 and -2 cancel out and +4 and -4 cancel out as well, leaving you with:

(3\sin(\theta))^2+(3\cos(\theta))^2=9

We can factor out 3^2 = 9 from both equations:

9(\sin(\theta)^2+cos(\theta)^2) = 9

We know from a trigonometric identity that \sin(\theta)^2+cos(\theta)^2 = 1, meaning we can reduce the equation to:

9(1) = 9

9=9

And therefore, we have shown that (x+2)^2 + (y-4)^2 = 9, if x=3sin​​θ-2 and y=3cos​​​θ+4.

Hope this helped you.

7 0
3 years ago
Write the following equation in slope-intercept form: y-8= 4(x+10)
tamaranim1 [39]

Answer:

y = 4x + 48

Step-by-step explanation:

Slope intercept form: y = mx + b

y - 8 = 4x + 40

y = 4x + 48

7 0
3 years ago
Read 2 more answers
If there is an open circle on a number on a number line, is that number included in the inequality
natta225 [31]
The answer is NO open circle is not included in an inequality. The other person answered it incorrectly
8 0
3 years ago
A sandwich shop serves 4 ounces of meat and 3 ounces of cheese on each sandwich. After making sandwiches for an hour, the shop o
mote1985 [20]

Answer:

7 oz, 13 sandwiches, 22.75 oz, and  30.33 oz.

Step-by-step explanation:

4 0
3 years ago
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