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<u>The genuine articulations of the hypotenuse of a right triangle are: It is the longest side of a right triangle, It is inverse the correct point. The genuine explanations of the hypotenuse of a right triangle are: It is the longest side of a right triangle, It is inverse the correct point</u>
Answer:
−18b+6
Step-by-step explanation:
6(−3b+1)
Use the distributive property to multiply 6 by −3b+1.
−18b+6
The described picture frame can be visualized into two separate parts. The first area is equal to the area using the outermost dimensions for the length and width.
Area = Length x Height
Area = (20 in) x (14 in)
Area = 280 in²
We are given that the area is only equal to 192 in². We subtract this value from the computed area.
Difference = 280 in² - 192 in²
difference = 88 in²
This area is equal to the area of the hollow space inside the frame. That is equal to,
height = 20 in - 2x
length = 14 in - 2x
The area,
88 = (20 - 2x)(14 - 2x)
Simplify the right hand side of the equation.
88 = 280 - 68x + 4x²
Divide the equation by 4,
22 = 70 - 17x + x²
Transposing,
x² - 17x - 48 = 0
The factors of the equation is 58.2.
Thus, the thickenss is equal to 58.2 in
Answer: option C is the correct answer.
Step-by-step explanation:
The television costs $1,350. Chuy decides to save the same amount of money each week, for 27 weeks. After 8 weeks Chuy saved $440. This means that the amount that she saved per week is
440/8 = $55
If she saves $55 in 8 weeks, the number of weeks left is
27 - 8 = 19 week
Amount that she would save in 19 weeks is
19 × 55 = 1045
Total amount saved in 27 weeks is
1045 + 440 = $1485
Therefore, the conclusion that you can make about Chuy's plan is
C. Chuy will save more than he needs and will meet his goal in less than 27 weeks.
Answer:
Step-by-step explanation:
We want to determine a 95% confidence interval for the mean total cholesterol level of all males.
Number of sample, n = 355
Mean, u = 185 mg
Standard deviation, s = 16
For a confidence level of 95%, the corresponding z value is 1.96. This is determined from the normal distribution table.
We will apply the formula
Confidence interval
= mean +/- z ×standard deviation/√n
It becomes
185 +/- 1.96 × 16/√355
= 185 +/- 1.96 × 0.849
= 185 +/- 1.66404
The lower end of the confidence interval is 185 - 1.66404 =183.336
The upper end of the confidence interval is 185 + 1.66404 = 186.66
Therefore, with 95% confidence interval, the mean total cholesterol level of all males is between 183.336 mg and 186.66 mg
