Answer:
Step-by-step explanation:
1)First convert mixed fraction to improper fraction and them prime factorize
2)
3) 0.00706 = 7.06 * 
<em>4)</em> 144 = 12 * 12
12 = 6*2
6 = 2*3
Prime factorization of 144 = 2 * 3 * 2 * 2 * 3 *2
= 2⁴ * 3²
5) To find LCM, prime factorize 96 & 144
96 = 2 * 2 * 2 * 2 * 2 * 3 = 2⁵ * 3
144 = 2⁴ * 3²
LCM = 2⁵ * 3² = 32 * 9 = 288
6) HCF
105 = 7 * 5 * 3
135 = 5 * 3* 3 * 3
180 = 5 * 3 * 3 * 2 * 2
HCF = 5 * 3 = 15
7) 24 = 3 * 2 * 2 * 2 = 3 * 2³
36 = 3 * 3 * 2 * 2 = 3² * 2²
40 = 5 * 2 * 2 * 2 = 5 * 2³
LCM = 5 * 2³ * 3² = 5 * 8 * 9 = 360
HCF = 2² = 4
Difference = 360 - 4 = 356
8) Multiply each digit of the binary number by the corresponding power of 2, solve the powers and add them all
1111 = 1 *2³ + 1*2² + 1*2¹ + 1*2° = 8 + 4 + 2 + 1 = 15
Ans: 15
9) 36₇ = 102₅
10) 6.9163 = 6.916
Answer:
jim is correct, x <em>does</em> equal 7°. justify your answer by putting seven back into the equation. it gives you back that 180 equals 180, therefore it is correct
Step-by-step explanation:
so, all angles of a triangle have to add up to 180;
(15x) + (8x - 11) + (3x + 9) = 180
15x + 8x - 11 + 3x + 9 = 180
add your common numbers
26x - 2 = 180
add 2
26x = 182
divide 26
x = 7
put it back into the equation
15(7) + 8(7) - 11 + 3(7) + 9 = 180
180 = 180
Answer:
You have to compare if true some of the statements.
Most of these type questions would be compare the first three data
1. Prices of red to yellow mean we need to add them all up to begin with. 10 x £29.95 + 5 x 35.99 etc. = 15 items or add one zero (x10) to 29.95 and for 35.99 we add zero (x10) then divide by 2 ie) 359.9/2 = 360/2-0.2 = 180 - 0.2 = $179.98
2. Higher and lower comparisments we just take away from total.
3. The difference or how much more something is we subtract from the full total.
This would be a 4 way thought process below;
1. Prices in $ could mean groups, mean high or low we need to count how many items and add up all the prices to find the mean by adding them together.
2. Colour's could mean more red than yellow over a certain price or under a certain price.
3. Colour could also mean how many as a combined data were higher or lower than a certain price. ie) Higher than $29.99 would mean all the data set at $30.00 more. LEss would mean lower than $29.98
4. Mean and fx would be all the prices added together + all the items togather for the fx we multiply the individual groups and create a new box. We then multiple it to the other totals. This can also help establish or be compared to the percentage for advanced data tables.
Step-by-step explanation:
Median
Median is the mean of 18 and 32 because they are in the middle, so it's 25. Median is the best representation because most numbers are around 20-30. 115 makes the mean go super high, which is not good, 11 drags the mean down, which is not good either.
Extras:
Mean: 11+11+18+32+34+115 =
221 divided by 6 =
36.88
It is a factor of the following equation because it equals zero
