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zlopas [31]
3 years ago
7

What is five to the -7th power times five to the 12 power

Mathematics
2 answers:
leva [86]3 years ago
5 0
5^-7 * 5^12

Because the base is the same, add the exponents.
5^ (-7+12)= 5^5

Final answer: 5^5, or 3125
Serga [27]3 years ago
5 0
3,125....................................................................       
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Consider the graph of function, f, below.
svetoff [14.1K]
The graph has a y intercept of 2, that’s where it crosses on the line
3 0
3 years ago
Daniel buys a new car.
Gennadij [26K]

Answer:

Step-by-step explanation:

Value of the car at the end of the first year = £9680

Depreciation = 12 %

Original price = £ x

If we reduce 12% of original price from x, we will get £9680

x - 12% of x  = £ 9680

x-\frac{12}{100}x=9680\\\\\\\frac{88}{100}x=9680\\\\x=9680*\frac{100}{88}\\\\x = 11000

Original price  = £ 11000

4 0
3 years ago
In a certain population, body weights are normally distributed with a mean of 152 pounds and a standard deviation of 26 pounds.
Burka [1]


xBar ± z * sx / sqrt(n)

 

where xBar is the sample mean

z is the zscore for having α% of the data in the tails, i.e., P( |Z| > z) = α

sx is the sample standard deviation

n is the sample size

 

For sample size calcualtions we need the following. The width of the interval, from one end point to the center is:

 

z * sx / sqrt(n) =

 

w and solving for n gives:

 

<span> n = (z * sx / w) ^ 2 </span>

 

remember that n needs to be an integer. Always take the ceiling, i.e., round up. If you round down then the width of the interval will not be correct, it will be too wide. By rounding up, the interval will be more narrow than asked for, but this is a good thing. It means there is more precision in the estimate.

 

<span> here we have </span>

 

z = 2.05

w = 0.04 * 152 = 6.08

n = (z * sx / w) ^ 2 n = (2.05 * 26 / 6.08)^2

n = 76.8506

 

Round of the answer since n must be an integer.

 

<span>n = 77 </span>

7 0
4 years ago
Part A: Using computer software, a correlation coefficient of r = 0. 01 was calculated. Based on the scatter plot, is that an ac
sattari [20]

Part A: Based on the scatter plot given, the correlation coefficient of r = 0.01 is most likely accurate because the data points are far away from each other.

Part B: A casual relationship would be: the number of strawberries picked and the amount of fertilizers used.

<h3>What is Correlation Coefficient?</h3>

Correlation coefficient, r, is quantitative measure that measures the extent to which two variables are associated.

The closer the data points are on a scatter plot, the closer the value of r is to 1 or -1.

<u>Part A:</u>

The data points in the scatter plot are farther apart and the trend slopes upwards to the right, this means that the correlation coefficient, r, would be positive but very low.

Thus, based on the scatter plot given, the correlation coefficient of r = 0.01 is most likely accurate because the data points are far away from each other.

<u>Part B:</u>

A casual relationship would be: the number of strawberries picked and the amount of fertilizers used.

Learn more about correlation coefficient on:

brainly.com/question/4219149

6 0
2 years ago
If the unit selling price is $2.50 and the unit cost is $1.00, what action is needed to maintain the gross margin percentage whe
REY [17]
Get the gross margin percentage of cost and multiply it to the new unit cost to get maintain the same gross margin percentage of cost.

Units Selling Price :  2.50    
Unit Cost                - <u>1.00</u>
Profit Margin          :  1.50

Gross profit margin % on sales: 1.50 / 2.50 = 0.60 x 100% = 60%
Gross profit margin % on cost : 1.50 / 1.00 = 1.50 x 100% = 150%

If the cost increase by $0.25 
Unit cost : 1.00 + 0.25 = 1.25

1.25 * 150% = 1.875 gross margin.

Gross margin + Unit Cost = Unit Price
1.875             + 1.25        = 3.125

Gross margin % on sales : 1.875 / 3.125 = 0.60 x 100% = 60%
Gross margin % on cost   : 1.875 / 1.25   = 1.50 x 100% = 150%


8 0
4 years ago
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