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Sauron [17]
3 years ago
8

Help with question 8 a and b)

Mathematics
1 answer:
Artist 52 [7]3 years ago
5 0
I think when you subtract 4 from x, you are shifting the graph right horizontally 4 units.  When you add 84 at the end of the function, you are shifting it up vertically 84 units.  When you times it by -5, you are stretching it by a factor of 5 and flipping it upside down.

just think of how each term effects the y value.  
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What is the upper quartile, Q3, of the following data set? 54, 53, 46, 60, 62, 70, 43, 67, 48, 65, 55, 38, 52, 56, 41
scZoUnD [109]
The original data set is 
{<span>54, 53, 46, 60, 62, 70, 43, 67, 48, 65, 55, 38, 52, 56, 41}

Sort the data values from smallest to largest to get
</span><span>{38, 41, 43, 46, 48, 52, 53, 54, 55, 56, 60, 62, 65, 67, 70} 
</span>
Now find the middle most value. This is the value in the 8th slot. The first 7 values are below the median. The 8th value is the median itself. The next 7 values are above the median. 

The value in the 8th slot is 54, so this is the median

Divide the sorted data set into two lists. I'll call them L and U 
L = {<span>38, 41, 43, 46, 48, 52, 53}
U = {</span><span>55, 56, 60, 62, 65, 67, 70}
they each have 7 items. The list L is the lower half of the sorted data and U is the upper half. The split happens at the original median (54).

Q3 will be equal to the median of the list U
The median of U = </span>{<span>55, 56, 60, 62, 65, 67, 70} is 62 since it's the middle most value. 

Therefore, Q3 = 62

Answer: 62</span>
4 0
3 years ago
The area of a rectangle is<br> 3/8 in and the length is 5/8 What is the width?
liberstina [14]

Answer:

The width W is :

W=\frac{3}{5}

Step-by-step explanation:

<em>Let A be the area of the rectangle </em>

<em>Let L be the length of the rectangle</em>

<em>Let W be the width of the rectangle </em>

______

Formula:

A = L × W

__________

\begin{aligned}A &=L \times W \\\Rightarrow W &=\frac{A}{L} \\\Rightarrow W &=\frac{\frac{3}{8}}{\frac{5}{8}} \\&=\frac{3}{8} \times \frac{8}{5} \\&=\frac{3 \times 8}{8 \times 5} \\&=\frac{3}{5}\end{aligned}

6 0
2 years ago
U(-3,6), V(-8, 1), W(-3,1)<br> 180° rotation about the origin
Ad libitum [116K]

Answer:

<em>U'</em>(3, -6), <em>V</em><em>'</em>(8, -1), <em>W</em><em>'</em>(3, -1)

Step-by-step explanation:

According to the <em>180°-rotation rule</em>, you take the OPPOSITE of both the y-coordinate and x-coordinate:

<u>Extended Rotation Rules</u>

270°-clockwise rotation [90°-counterclockwise rotation] >> (x, y) → (-y, x)

270°-counterclockwise rotation [90°-clockwise rotation] >> (x, y) → (y, -x)

180°-rotation >> (x, y) → (-x, -y)

I am joyous to assist you anytime.

7 0
3 years ago
Use the table of systolic blood pressures (in mm Hg) in each arm
e-lub [12.9K]

Answer:

The 90% confidence interval would be given by (63.330;81.070)

Step-by-step explanation:

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=left arm , y = right arm

x: 175 169 182 146 144

y: 102 101 94 79 79

Since the Confidence is 0.90 or 90%, the value of a = 0.1 and a/2= 0.05we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,4)".And we see that ta/2= 2.13

3 0
2 years ago
Solve the equation by factoring the expression 8x2 − 50 and then using Zero Product Property. 8x2 − 50 = 0 Hint: You may have to
Mnenie [13.5K]

Answer:

this equation id 2=0 meaning no solution

Step-by-step explanation:

6 0
3 years ago
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