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vichka [17]
3 years ago
9

-k+0.03+1.01k=-2.45-1.81k?

Mathematics
1 answer:
Mrrafil [7]3 years ago
4 0

Answer:

-1.362637

or if you round your answer -1.36

Step-by-step explanation:

solve for k by simplifying both sides of the equation and isolating the variable.

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Find the area of the figure. Round to the nearest hundredth when necessary
dexar [7]

Answer:

  745.44 square mm

Step-by-step explanation:

The figure can be decomposed into ...

  • a semicircle of radius 12.5 mm
  • a rectangle 12.5 mm by 25 mm
  • a triangle 12.5 mm by 30 mm

The relevant area formulas are ...

  Semicircle: A = 1/2πr² = 1/2π(12.5 mm)² ≈ 245.437 mm²

  Rectangle: A = LW = (12.5 mm)(25 mm) = 312.500 mm²

  Triangle: A = 1/2bh = 1/2(12.5 mm)(30 mm) = 187.500 mm²

Total area of the figure is ...

  245.437 +312.500 +187.500 = 745.437 . . . mm²

The area of the figure is about 745.44 square mm.

6 0
3 years ago
Read 2 more answers
The sum of two numbers is twelve. One number is eight less than the other. Find the numbers.
Ilya [14]

Answer:

10 and 2

Step-by-step explanation:

One number is 8 less than the other.

10+2=12

10-8=2

10+2=12

7 0
3 years ago
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Write a expression for the calculation 84 divided into sevenths added to 9 divided into thirds
Dennis_Churaev [7]
(84÷7)+(9÷3) The parentheses are not necessary but I just put them.
I think that's what you meant. If you meant the other thing this would be the equation: (84÷7+9)÷3. Here the parentheses are nessasary
4 0
3 years ago
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What is the total area drained by a stream and its tributaries?
Katyanochek1 [597]
Where is the information? orz
8 0
3 years ago
Examination of court records in a particular state shows that the mean sentence length for first-offense drug dealers is 26 mont
Zigmanuir [339]

Answer and explanation:

Given : Examination of court records in a particular state shows that the mean sentence length for first-offense drug dealers is 26 months with a standard deviation of 2 months. The records show that the sentence lengths are normally distributed.

i.e. Mean \mu=26, Standard deviation \sigma=2

Using Z-score formula,

Z=\frac{\bar{x}-\mu}{\sigma}

1) What is the Z score for a 23 month sentence length? What is the probability of getting a sentence below that?

The Z score value for a \bar{x}=23 is given by,

Z=\frac{23-26}{2}

Z=\frac{-3}{2}

Z=-1.5

The probability of getting a sentence below that is P(X

i.e. P(X

P(X

2) A defense attorney is concerned that his client's sentence was unusually harsh at 30 months. What percent of sentences are 30 months or longer? Calculate the Z score and report the area.

The Z score value for a \bar{x}=30 is given by,

Z=\frac{30-26}{2}

Z=\frac{4}{2}

Z=2  

The probability of getting a sentence below that is P(X\geq 30)

i.e. P(X\geq 30)=1-P(Z\leq 2)

P(X\geq 30)=1-0.977

P(X\geq 30)=0.023

Into percentage, P(X\geq 30)=2.3\%

3) Would you consider a 30 month sentence harsh? Explain

Since the percentage for 30 months or greater is harsh because the smaller value of percentage of P(X\geq 30)=2.3\%

7 0
2 years ago
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