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Ilya [14]
2 years ago
7

Hey pls help !!! worth 25 points

Mathematics
1 answer:
amm18122 years ago
5 0

Start with the point-slope form: y-y_1 = m(x-x_1).

Then you substitue in the slope and coordinates from the point:

    y-5 = 2(x-(-7))

You don't do a lot of clean up to the form, with the exception of turning "minus negative 7" into "plus 7".

    y-5 = 2(x+7)

Thar be yer answer!

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Find the probability of each event.
jeka57 [31]

Using the binomial distribution, it is found that there is a 0.0108 = 1.08% probability of the coin landing tails up at least nine times.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • The coin is fair, hence p = 0.5.
  • The coin is tossed 10 times, hence n = 10.

The probability that is lands tails up at least nine times is given by:

P(X \geq 9) = P(X = 9) + P(X = 10)

In which:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 9) = C_{10,9}.(0.5)^{9}.(0.5)^{1} = 0.0098

P(X = 10) = C_{10,10}.(0.5)^{10}.(0.5)^{0} = 0.001

Hence:

P(X \geq 9) = P(X = 9) + P(X = 10) = 0.0098 + 0.001 = 0.0108

0.0108 = 1.08% probability of the coin landing tails up at least nine times.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

5 0
2 years ago
What is the total surface area of the rectangular prism?​
bogdanovich [222]

Answer:

Total surface = 102.4 cm^2 (second answer in the list of options)

Step-by-step explanation:

Notice that we need to add the surface of 4 rectangles, two have smaller sizes than the other two. A pair of rectangles are 7.2 cm x 4 cm = 28.8 cm^2, while the other pair has 7.2 cm x 2 cm = 14.4 cm^2

There are also two equal bases each one of size 4 cm x 2 cm = 8 cm^2

Now we add two of each of the individual surfaces discussed above to complete the total surface area:

2 * 28.8 + 2 * 14.4 + 2 * 8 =  102.4 cm^2

which agrees with the second answer option provided.

3 0
3 years ago
5. Simplify: 56 = 7 - 3 [4 + {8 - 4 ( 4 + 5 - 3 )}]​
shutvik [7]

Answer:

36

Step-by-step explanation:

56=7-3[4+{8-4(4+5-3)}]

56=7-3[4+{4(4+5-3)}]

56=7-3[4+{16+20-12)}]

56=7-3[4+24]

56=4[28]

56=92

56-56=92-56

36

3 0
3 years ago
What is the geometric mean of 3 and 18
anyanavicka [17]

Answer:

3 \sqrt{6}

7 0
3 years ago
Read 2 more answers
Is 12.56 greater than or less than 125.6
Flauer [41]
Less than because !2.56 bascically means just 12 and 125.6 means bascally just 125 and 125 is waay more than 12
5 0
3 years ago
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