If the areas of two equilateral triangles are 27 yd² and 75 yd², then the ratio of these areas is 27/75 = 9/25
If the ratios of the areas are 9:25, then their similarity ratio and the ratio of their perimeters is √9:√35 = 3:5.
3 : 5; 3 : 5 <==ANSWER
Answer:
slope is -2
Step-by-step explanation:
1. go to geogebra.org/classic (this is a graphing calculator)
2. enter your two points by using the second button on the top of the screen
3. connect a line from one point to the other using the 3rd button on the top of the screen
4. click on the line and it shall tell you the equation, including the slope :O))))
the slope is -2 and the equation is y = -2x + 18
Answer:
Step-by-step explanation:
1.
The cash flow from operating activities is = $28000.
Working Note:
Net Income $20000
Depreciation expense $3000
Increase in accounts receivable ($2000)
Increase in accounts payable $4000
Decrease in inventory $3000
Net Cash Flow from Operating Activities = 20000 + 3000 – 2000 + 4000 + 3000
Net Cash Flow from Operating Activities = $28000
2.
The cash flow from investing activities = $6000.
Working Note:
Proceeds from sale of equipment $6000
Net cash flow from investing activities = $6000
3.
The cash flow from financing activities = - $2000 or ($2000)
Working Note:
Payment of dividends ($2000)
Net Cash flow from financing activities = - $2000 or ($2000)
Answer:
1125.
Step-by-step explanation:
I'm going to work out the answer is <u><em>grams</em></u>.
1kg = 1000g
0.225kg of butter = 225g, 225g of sugar, 225g of flour, 0.2kg of eggs = 200g, 250g of berries.
225 + 225 + 225 + 200 +250 = 1125.
Hope that helps. x
Answer:
a) 40.13% probability that a laptop computer can be assembled at this plant in a period of time of less than 19.5 hours.
b) 34.13% probability that a laptop computer can be assembled at this plant in a period of time between 20 hours and 22 hours.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:

a)Less than 19.5 hours?
This is the pvalue of Z when X = 19.5. So



has a pvalue of 0.4013.
40.13% probability that a laptop computer can be assembled at this plant in a period of time of less than 19.5 hours.
b)Between 20 hours and 22 hours?
This is the pvalue of Z when X = 22 subtracted by the pvalue of Z when X = 20. So
X = 22



has a pvalue of 0.8413
X = 20



has a pvalue of 0.5
0.8413 - 0.5 = 0.3413
34.13% probability that a laptop computer can be assembled at this plant in a period of time between 20 hours and 22 hours.