Answer:
the expression would be: 18x-12y
Step-by-step explanation:
Answer:
Step-by-step explanation:
![\frac{49}{24} \times \frac{15}{14} =\frac{7 \times 7 \times 3 \times 5}{3 \times 8\times 2 \times 7} \\=\frac{35}{16}](https://tex.z-dn.net/?f=%5Cfrac%7B49%7D%7B24%7D%20%5Ctimes%20%5Cfrac%7B15%7D%7B14%7D%20%3D%5Cfrac%7B7%20%5Ctimes%207%20%5Ctimes%203%20%5Ctimes%205%7D%7B3%20%5Ctimes%208%5Ctimes%202%20%5Ctimes%207%7D%20%5C%5C%3D%5Cfrac%7B35%7D%7B16%7D)
Answer:
0.5
Step-by-step explanation:
The equation for finding increase in interest is y = a * b^x
a= initial value
b= increase rate ( 1 + r)
x= time
to find the 6.8% increase:
y = 25,250 (1 + 0.068)^10
**0.068 = 6.8% as a decimal
Solve using a calculator:
y = 48749.92 (round to the hundredth place since it is money)
Now solve the same equation using the 3.4% interest rate.
y = 25,250 (1 + 0.034)^10
Solve using a calculator.
y = 35274.98 (round to the hundredth place since it's money)
To find how it compares, subtract 35274.98 from 48749.92
48749.92 - 35274.98 = 13474.94
It increases at a faster rate as compared with the interest rate of 3.4%
The z-scores of the scores are -1.34, -0.73, 0.48, 0.48 and 1.10
<h3>How to transform the scores?</h3>
The sample scores are given as:
2, 3, 5, 5, 6.
Calculate the mean and the standard deviation using a statistical calculator.
From the statistical calculator, we have:
--- mean
--- standard deviation
The z-score is then calculated using
![z= \frac{x - \bar x}{\sigma}](https://tex.z-dn.net/?f=z%3D%20%5Cfrac%7Bx%20-%20%5Cbar%20x%7D%7B%5Csigma%7D)
Where:
x = 2, 3, 5, 5, 6.
So, we have:
![z_1= \frac{2 - 4.2}{1.64} = -1.34](https://tex.z-dn.net/?f=z_1%3D%20%5Cfrac%7B2%20-%204.2%7D%7B1.64%7D%20%3D%20-1.34)
![z_2= \frac{3 - 4.2}{1.64} = -0.73](https://tex.z-dn.net/?f=z_2%3D%20%5Cfrac%7B3%20-%204.2%7D%7B1.64%7D%20%3D%20-0.73)
![z_3= \frac{5 - 4.2}{1.64} = 0.48](https://tex.z-dn.net/?f=z_3%3D%20%5Cfrac%7B5%20-%204.2%7D%7B1.64%7D%20%3D%200.48)
![z_4= \frac{5 - 4.2}{1.64} = 0.48](https://tex.z-dn.net/?f=z_4%3D%20%5Cfrac%7B5%20-%204.2%7D%7B1.64%7D%20%3D%200.48)
![z_5= \frac{6 - 4.2}{1.64} = 1.10](https://tex.z-dn.net/?f=z_5%3D%20%5Cfrac%7B6%20-%204.2%7D%7B1.64%7D%20%3D%201.10)
Hence, the z-scores of the scores are -1.34, -0.73, 0.48, 0.48 and 1.10
Read more about z-scores at:
brainly.com/question/25638875
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