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umka21 [38]
3 years ago
12

The area of triangle ABC is?

Mathematics
1 answer:
melisa1 [442]3 years ago
5 0

Answer:

A(\triangle ABC) =17.5 \:  {units}^{2}

Step-by-step explanation:

AB = 4 - (-3) = 4 + 3 = 7 units

BC = 3 - (-2) = 3 + 2 = 5 units

A(\triangle ABC) = \frac{1}{2} \times AB\times BC \\  \\ A(\triangle ABC) = \frac{1}{2} \times 7\times 5 \\  \\ A(\triangle ABC) = \frac{1}{2} \times 35 \\  \\ A(\triangle ABC) =17.5 \:  {units}^{2}

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The director of the library calculates that 29% of the library's collection is checked out. If the director is right, what is th
marusya05 [52]

Answer:

The probability that the proportion of books checked out in a sample of 412 books would differ from the population proportion by less than 4% is P=0.9255.

Step-by-step explanation:

The population's proportion is \pi=0.29

If we take a sample of 412 books (n=412), we have a standard deviation of the sampling distribution of:

\sigma_M=\sqrt{\frac{\pi(1-\pi)}{n}}=\sqrt{\frac{0.29*0.71}{412}}=\sqrt{0.0005} =0.0224

We have to calculate the probabilty that the sample proportion will be between 0.25 and 0.33.

z_1=(0.25-0.29)/0.0224=-0.04/0.0224=-1.7857\\\\z_2=1.7857\\\\\\P(0.25

8 0
4 years ago
Can someone please help? I will give thanks and 5 stars, and if possible, brainlist, if you explain how to solve the question.
Sav [38]

Answer:

1/14

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4 0
3 years ago
What is the inverse of the function F (X) equals 2X +1
Liono4ka [1.6K]

Answer: f^{-1}(x)=\frac{x-1}{2}

Step-by-step explanation:

To find the inverse of a function start by replacing f(x) with x and replace the original x with y.

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Now solve for y

x=2y+1\\x-1=2y+1-1\\x-1=2y\\\frac{x-1}{2} =\frac{2y}{2}\\\frac{x-1}{2} =y

Finally, replace y with the inverse of f(x), f^{-1}(x)

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2 slices per person
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-2

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