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Softa [21]
3 years ago
10

(a) Draw the vectors a=[3, 2], b=[2,-1], and c=[7, 1]. (b) Show, by means of a sketch, that there are scalars s and t such that

c=sa+tb. (c) use the sketch to estimate the values of s and t. (d) Find the exact values of s and t.
Mathematics
1 answer:
UNO [17]3 years ago
4 0

Answer:

4

Step-by-step explanation:

s is 2,1 t is 1

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The height of a right cylinder is 2r, where r is the radius. Write a function f in simplest form that represents the ratio of th
makkiz [27]
F = 3/r.

The formula for the volume of a cylinder is

V=πr²h.  We know that h=2r, so this gives us:

V = πr²(2r) = 2πr³

The surface area of a cylinder is the sum of the areas of all of the faces.  The bottom and top are circles, whose areas are both given by A=πr².  The lateral area of a cylinder is given by the circumference multiplied by the height.  C = 2πr, and the height is 2r, so the lateral area would be

A=(2πr)(2r)= 4πr².  This gives us a total surface area of

SA = 4πr²+πr²+πr² = 6πr².

The ratio of surface area to volume would be:

SA/V = 6πr²/2πr³.  After simplifying, we have f=3/r.
8 0
3 years ago
Complete the frequency table:
SOVA2 [1]

The percentage of students age 15 and above travel to school by bus is 47%

<h3>How to complete the table?</h3>

The table of values is given as:

                     Method of Travel to School

                            Walk/Bike    Bus    Car Row totals

Under age 15                            18                 165

Age 15 and above    65                                 195

Column totals          152          110        98      360

Using the column total of column 1, we have:

Under age 15 + 65 = 152

This gives

Under age 15 = 87

Using the column total of column 2, we have:

Age 15 and above + 18 = 110

This gives

Age 15 and above  = 92

Using the row total of row 1, we have:

Car + 87 + 18 = 165

This gives

Car = 60

Using the row total of row 2, we have:

Car + 65 + 92 = 195

This gives

Car = 38

So, the complete frequency table is

                     Method of Travel to School

                            Walk/Bike    Bus    Car Row totals

Under age 15           87              18      60        165

Age 15 and above    65          92        38        195

Column totals          152          110        98      360

The percentage of students age 15 and above travel to school by bus is:

Percentage = 92/195 * 100%

This gives

Percentage = 47%

Read more about frequency table at:

brainly.com/question/12576014

#SPJ1

5 0
2 years ago
The four hand of a clock moves from 12 to 5 o'clock through how many degrees does it move?
julsineya [31]
To find the answer you have to first find how many degrees are there in between each number in the clock. the clock is 360°degrees and there are 12 numbers marked in a clock., so you have to divide 360 by 12 to get the number of degrees in between each number,
360°÷12=30° so there are 30°degrees between each number. 

if a clock hand moves from 12 to 5, it pass 5 numbers, so to get your final answer you have to multiply 30° by 5=150°.

so your answer is 150°degrees.
hope you can understand what i said. :)
8 0
3 years ago
A bag contains 12 discs
trasher [3.6K]

Answer:

If they are both red, 7/22

If both blue, 1/22

Yellow, 1/66

Step-by-step explanation:

7/12 times 6/11 (both decrease by one because there is no replacement)

3/12 times 2/11

2/12 times 1/11

8 0
3 years ago
Here are the scores of students on a history test. 55, 56, 57, 58, 58, 64, 65, 66, 69, 75, 77, 78, 81, 81, 85, 86, 91. Create a
Anarel [89]
The first thing you need to do is get the median of the whole set.

The median is the center so since there are 17 numbers the center is 69 and 69 is Q2

Next we need to find Q1 Q3 and Q4 Also, are whiskers are below.
Whisker minimum = 55
Whisker maximum = 91

Now to find Q1 we have to get the median of the first half of the data.
We need to get the median of the following data set.
55, 56, 57, 58, 58, 64, 65, 66

(58+58) / 2 = 58
Q1 = 58

Now we need to find Q3. To do that we get the median of the second half of the data.
75, 77, 78, 81, 81, 85, 86, 91. 
(81 + 81) / 2 = 81
Q3 = 81

Now we have all our quartiles and whiskers, which are below, it is time to create our box and whisker plot. Note, create a horizontal or vertical number line with appropriate data. Also the box part is from Q1 to Q3 and your whiskers goes from your minimum to your box and from your maximum to your box.

Whisker Minimum = 55
Q1 = 58
Q2 = 69
Q3 = 81
Whisker Maximum = 91

6 0
3 years ago
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