Use the Distributive Property and simplify the expression.9 + 4(2x – 1) + 8
I got 9?
Answers
9 + 4(2x - 1) + 8 = 9 + 4·2x - 4·1 + 8 = 9 + 8x - 4 + 8 = 8x +13
Expand the bracket
=> 9 + (4 * 2x) + (4 * -1) + 8
simplify the bracket
9 + 8x - 4 + 8
make the expression equal to 0 and solve
9 + 8x - 4 + 8 = 0
9 - 4 + 8 + 8x = 0
13 + 8x = 0
8x = -13
x =
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Answer:
The best measure of center is median = 37.50.
Step-by-step explanation:
The complete question is:
The data set gives the number of bottles filled by each of the workers in a bottling plant in one day.
{36, 18, 16, 28, 68, 35, 37, 66, 38, 40, 41, 44, 72, 29}
The best measure of center for this data set is the , and its value expressed up to one decimal place is?
Solution:
The three measures of center are:
- Mean
- Median
- Mode
The mean is the average value of the data set and uses all the values of the data set.
The median is the middle value of the data set.
Mode is the value of the data st with the highest frequency or number of occurrence.
Compute the mean, median and mode of the data set provided as follows:
So, the mean is 40.57.
The data set in ascending order is:
{16, 18, 28, 29, 35, 36, 37, 38, 40, 41, 44, 66, 68, 72}
There are 14 values in the data set. That is an even data set.
The median for an even data set is the average of the middle two values.
The middle two values are: 37, 38
Average of {37, 38} =
So, the median is 37.50.
None of the values are repeating itself. Thus, the data does not have a mode.
For the provided data:
Mean > Median
Implying that the data set is right-skewed.
For a skewed distribution or data set the median is the measure of center.
Thus, the best measure of center is median = 37.50.
Answers
So one rotation of the pedals will cause the front chain drive to complete one full turn, so it will move the chain the same distance as it's circumference.
So it will move the chain (2.2 Pi )inches. Then the back drive has a circumference of 3pi inches, but it only turns 2.2pi inches. So it turns 2.2pi/3pi = 11/15 of a full rotation. Since the wheel turns at the same rate as the back chain drive, the wheel will turn 11/15 of a full turn as well.
And since the back wheel is 26 inches in diameter, it's circumference is 26pi inches. If it turned a full rotation, it would go this distance along the ground, but it is only going 11/15 of this distance, so it is going (11/15)x 26pi =(286/15)pi inches. Or approximately 59.8997 inches.
Answers
Answer:
2
Step-by-step explanation:
Since the 12 + 6 are parenthesis, we do these first
12 + 6 = 18
Then will solve the rest, 20 - 18
20 - 18 = 2, therefore leaving us with the answer of 2
what is this answer ?
Answers
Answer:
44x/5
Step-by-step explanation:
Answer: what method are you using to solve this?
Step-by-step explanation:
Answers
Answer:
x=81
Step-by-step explanation:
Rewrite log_3 (x)=4 in exponential form using the definition of a logarithm. If x and b are positive real numbers and b≠1, then log_b(x)=y is equivalent to b^y=x.
Rewrite the equation as x=3^4
Raise 3 to the power of 4
x=81
Answers
If the discount is 30% then the amount paid is 70% of the original price. Sally paid $20, it is the discounted price, equivalent to 70%.
We need to divide $20 by 70% to get the original price or the 100%.
$20 / 70% = $28.57 original price.
Since the handbag was has discount of 30%, we multiply the original price with the 30% to get the discount value.
$28.57 * 30% = $8.57 discount
To check: deduct the discount from the original price to get the discounted price.
$28.57 - $8.57 = $20 discounted price. price paid by Sally