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Maurinko [17]
3 years ago
5

The Cost Of 3 Tickets to the concert is $27. What Is The Constant Proportionality

Mathematics
2 answers:
victus00 [196]3 years ago
5 0
To find the constant proportionality you would need to find the cost of one ticket which would be 9 dollars
UNO [17]3 years ago
3 0
9$ , 3x9 equals 27 so each ticket costs 9$
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What is 9 + 10? This is hard homework
Lubov Fominskaja [6]
9 + 10=21 :)
9=3 x3
10= 2 x 5
3x5=15
3x2=6
15 + 6 = 21 :)
4 0
3 years ago
HELP HELP HELPH EPLHEPLHEPLHEPLHEPLEP
Soloha48 [4]

<u>Answers:</u>

1a) y=-10/3x+90

1b) 20

1c) -18

2a) 2.8

2b) How much the heights of five basketball players vary from the average height.

----------------------------------------------------------------------------------------------------------------

<u>Explanations:</u>

<u>1a)</u> The trend line is linear, so we just need to find the slope and y-intercept to find an equation for it. Our y-intercept is (0,90), or 90, and our slope is -10/3. <em>Our equation is now y=-10/3x+90.</em>

<u>1b) </u>To find when x=21, we plug 21 into our equation where the x is. Now we do the math.

y=-10/3(21)+90 (plug in)

y=-70+90 (simplify by multiplying -10/3 by 21)

y=20 (simplify by adding -70 to 90)

<em>Therefore, we can predict that when x is 21, y is 20.</em>

<u>1c) </u>To find when y=150, we plug 150 into our equation where the y is. Now we do some more math.

150=-10/3x+90 (plug in)

60=-10/3x (subtract 90 from both sides

-18=x (divide both sides by -10/3)

<em>Therefore, we can predict that when y is 150, x is -18.</em>

----------------------------------------------------------------------------------------------------------------

<u>2a) </u>The mean absolute deviation (or MAD for short) of a data set is calculated as such:

<u>Step 1) </u>Find the mean (average) by finding the sum of the data values, then dividing the sum of the data values by the number of data values. In this case, we have the numbers 65, 58, 64, 61, and 67, which add up to 315. The data set has 5 numbers, so we divide our sum of 315 by 5 to get 63. <em>Therefore, our mean is 63.</em>

<u>Step 2) </u>Find the absolute value of the distance between each data value and the mean. In this case, we find out how far away each data value is from 63, our mean.  To do this, we subtract 63 from each number.

65-63=2

58-63=-5

64-63=1

61-63=-2

67-63=4

Some of these values are negative, but we're using absolute value so they all become positive. <em>We now have a new set of values: 2, 5, 1, 2, and 4.</em>

<u>Step 3)</u> Finally, we calculate the mean of our new set of values. In this case, we will add up 2, 5, 1, 2, and 4 to get 14 and divide by 5 to get our MAD of 2.8. <em>Therefore, the MAD (and the answer to problem 2a) is 2.8.</em>

<u>2b)</u> Now we just find out what the MAD means in this context. The MAD always is a measure of variance in a data set. In this context, it's describing how much the heights (in inches) of five people on a basketball team vary from the average height.

Hope this helps!

3 0
3 years ago
(Please help HURRY!) (Don't delete this!) (I WILL GIVE BRAINY!)
ipn [44]
1. A or B

2. C

3. I think B
4 0
3 years ago
Read 2 more answers
A study was conducted to measure the effectiveness of hypnotism in reducing pain. The measurements are centimeters on a pain sca
saul85 [17]

Answer:

The 95% confidence interval for the difference would be given by (-1.776;0.376)

We are 95% confidence that the true mean difference is between -1.776 \leq \mu_d \leq 0.376. Since the confidence interval contains the value 0, we don't have enough evidence to conclude that hypnotism appear to be effective in reducing pain.

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Let put some notation  

x=test value before , y = test value after

x: 6.4 2.6 7.7 10.5 11.7 5.8 4.3 2.8

y: 6.7 2.4 7.4 8.1 8.6 6.4 3.9 2.7

The differences defined as d_i = y_i -x_i and we got:

d: 0.3, -0.2, -0.3, -2.4, -3.1, 0.6, -0.4, -0.1

We can calculate the mean and the deviation for the sample with the following formulas:

\bar d=\frac{\sum_{i=1}^n d_i}{n}

s_d =\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1}

\bar d=-0.7 represent the sample mean for the difference

\mu_d population mean (variable of interest)

s_d=1.32 represent the sample standard deviation

n=8 represent the sample size  

Confidence interval

The confidence interval for the mean is given by the following formula:

\bar d \pm t_{\alpha/2} *\frac{s_d}{\sqrt{n}}  (1)

In order to calculate the critical value t we need to find first the degrees of freedom, given by:

df=n-1=8-1=7

Since the Confidence is 0.95 or 95%, the value of alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,8)".And we see that t_(\alpha/2)=2.306

Now we have everything in order to replace into formula (1):

-0.7-2.306\frac{1.32}{\sqrt{8}}=-1.776    

-0.7+2.306\frac{1.32}{\sqrt{8}}=0.376    

So on this case the 95% confidence interval for the difference would be given by (-1.776;0.376)

We are 95% confidence that the true mean difference is between -1.776 \leq \mu_d \leq 0.376. Since the confidence interval contains the value 0, we don't have enough evidence to conclude that hypnotism appear to be effective in reducing pain.

6 0
3 years ago
PLEASE HELP!! DESPERATE!
avanturin [10]

Answer:

Lenght: 34.51 mm

Area: 1035.33 mm^2

Step-by-step explanation:

let x be the unknown sidelength

tan(41) = 30/x

x = 34.51

multiply by 30 to get area

7 0
3 years ago
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