Answer:
x = 87
Step-by-step explanation:
the ratio SR / RV is equal the ratio ST / TU (both ratios are equal to 1), and the angle in the vertex S is the same for both triangles SUV and STR, so we can affirm that these triangles are similar (case S-A-S).
Then, we have that the ratio SR / SV is the same as RT / UV:
SR / SV = RT / UV = 1 / 2
RT * 2 = UV
2*(x - 37) = x + 13
2x - 74 = x + 13
x = 87
Answer:
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Step-by-step explanation:
3x + 2 is one possible choice
In order to draw the Box-whisker plot, we need to rewrite the data in increasing order.
42 43 47 48 51 52 56 56 58 60 62 64 65 66
Mean of the data = (42 + 43 + 47 + 48 + 51 + 52 + 56 + 56 + 58 + 60 + 62 + 64
+ 65 + 66) ÷ 14
Mean of the data = 770 ÷ 14
Mean of the data = 55
Median = (56 + 56) ÷ 2
Median = 112 ÷ 2
Median = 56
Lowest value = 42
Highest value = 66
Range = Highest value - Highest value
Range = 66 - 42
Range = 24
Lower Quartile = 25% of the data
Lower Quartile = 48
Upper Quartile = 75% of the data
Upper Quartile = 62
The function is f(x) = [2/3] [6^x]
It is an exponential function whose range is all the positive values. This is, for any value of x that exponential function yields a value that is greater than 0. The graph never crosses the x-axis.
When you reflect the function over the x-axis, you flip the graph over x, and you can see that the range of the new fucntion iis all the negative values, this is all the real numbers less than zero.
Answer: all the real numbers less than zero.
Answer:
Explanation:
<u>1) Write the changes in the temperature of the city over the 4 days in an easy way to read.</u>
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<u>2) Write the expression to show the average daily change in temperature.</u>
The average of a set of data is calculated with the expression:
- Average = (sum of the data) / amount of data
Hence, you need to add the four change of temperature data and divide by 4.
The expression is:
- Average = [ 1.34 °C + (- 5 / 7 °C) + ( - 0.75 °C) + 4/9 ° C ] / 4
<u>3) Write the steps to solve the expression:</u>
You can choose between adding fractions or adding the decimal forms of the numbers.
If you choose adding decimals, keep the complete decimals in your calculator, to avoid the accumulation of errors due to rounding. Round only the final result.
These are the steps.
<u>a. Find the decimal forms of the fractions:</u>
<u>b. Add the four data:</u>
- 1.34°C + (- 0.71428 °C) + (-0.75 °C) + 0.44444 °C ≈ 0.32019 °C
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<u>c. Divide the sum by the number of data (4)</u>
- 0.32019 °C / 4 ≈ 0.080004 °C
<u>4. Round to the nearest hundredth</u>
The place of the hundreth is the second after the decimal point, which is 8 in this case:
