Answer:
192
Step-by-step explanation:
12:49 - 12:17 = 32min
if 60min = 360°
32min = ?
<u>3</u><u>2</u><u>×</u><u>3</u><u>6</u><u>0</u>
60
=192°
Answer:
In the sample, 61% chose wooden chairs (4% less than that claimed by the company), 24.2% chose plastic chairs (4.2% more than that claimed by the company), and 14.8 % chose metal chairs (0.2% less than what the company claimed). Therefore, given that these are differences of less than 5%, we can affirm that these samples are consistent with what the company said.
Step-by-step explanation:
Given that a large furniture company claims that 65% of all individuals who buy chairs from its stores choose wood chairs, 20% choose plastic chairs, and 15% choose metal chairs, and to investigate this claim researchers collected data from a random sample of the companys customers, whose results were 305 wood, 121 plastic, and 74 metal, to determine if the data from the sample consistent with the companys claim the following calculations should be performed:
305 + 121 + 74 = 500
500 = 100
305 = X
305 x 100/500 = X
30,500 / 500 = X
61 = X
500 = 100
121 = X
121 x 100/500 = X
12,100 / 500 = X
24.2 = X
100 - 61 - 24.2 = X
39 - 24.2 = X
14.8 = X
Therefore, in the sample, 61% chose wooden chairs (4% less than that claimed by the company), 24.2% chose plastic chairs (4.2% more than that claimed by the company), and 14.8 % chose metal chairs (0.2% less than what the company claimed). Therefore, given that these are differences of less than 5%, we can affirm that these are samples that are consistent with what the company said.
Answer:
2: 99° 3: 81° 4: 81°
Step-by-step explanation:
2 is supplementary to 1 so subtract 81 from 180 = 99.
3 is vertical angle with 1 so they are equal
4 is alternate interior angle with 3 so they are equal
hope this helps stay safe :)
Answer:
The approximate measure of angle K is 34°
Step-by-step explanation:
In ΔJKL
∠L = 105°
JK = 4.7
JL = 2.7
Sine Rule:
So,
K ≈ 34°
So, Option B is true
Hence The approximate measure of angle K is 34°
Answer:
Step-by-step explanation:
What we know is that A + S = 111. That is, the miles Andre drove plus the miles Scott drove totalled 111 miles. What we also know is that Scott drove quite a bit more than Andre did. Scott drove 7 miles more that ( +7 ) 3 times the number of miles Andrea drove. That looks like this algebraically:
S = 3A + 7
Now we can sub in that value for S to the original equation:
If A + S = 111 and S = 3A + 7, then
A + 3A + 7 = 111 and
4A + 7 = 111 and
4A = 104 so
A = 26 and
S = 3(26) + 7 so
S = 85 miles.
Scott drove 85 miles.
