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Sophie [7]
3 years ago
5

Find the distance between (3,4) and (4,-6) if necessary, round to the nearest tenth.

Mathematics
1 answer:
Ratling [72]3 years ago
4 0

Answer:

The distance is:

d = 10.0 units (Rounded to the nearest the Tenths Place)

Step-by-step explanation:

Given the points

  • (3,4)
  • (4,-6)

The distance 'd' between (3,4) and (4,-6)

\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):

d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}

substituting the points values

   =\sqrt{\left(4-3\right)^2+\left(-6-4\right)^2}

   =\sqrt{1+10^2}

   =\sqrt{1+100}

   =\sqrt{101}

   =10.0  units (Rounded to the nearest the Tenths Place)

Thus, the distance is:

d = 10.0 units (Rounded to the nearest the Tenths Place)

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about this question the sequence of the pattern is according to the table of 12.

Step-by-step explanation:

Table of twelve is.

12

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then the answer will be 60

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Consider the equation x^2 = 36. Which of the statements below are true? Select all that apply.
Dmitry [639]

Answer:

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Step-by-step explanation:

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3 years ago
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mafiozo [28]

Given that:

- A race car game takes 6 points each time the player hits a cone.

- You must find the integer that represents the change in total points if the player hits 10 cones.

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Then, by analyzing the data given in the exercise, you can identify two integers that must be multiplied, in order to calculate the total points if the player hits 10 cones. These are:

\begin{gathered} 10\text{ } \\ -6 \end{gathered}

Since the game takes 6 points from the player each time this hits a cone, the integer that represents the points taken from the player must be negative.

In order to multiply the integers, you need to remember the Sign Rules for Multiplication:

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Therefore, you get this result:

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8 0
1 year ago
The probabilities that a customer selects 1, 2, 3, 4, or 5 items at a store are 0.32, 0.12, 0.23, 0.18, and 0.15, respectively.
Andrew [12]

Answer:

a. This is a probability distribution as ∑pi=1

b. 2.72

c. 1.45

Step-by-step explanation:

a. To verify the probability distribution we simply add all given probabilities and see whether they sums up to 1 or not. According to definition of probability distribution sum of probabilities should be 1 so,

∑pi=0.32+0.12+0.23+0.18+0.15=1

Hence it is verified that given distribution is a probability distribution.

b. Mean number of items selected= E(x)= ∑x*p(x)

here x =1,2,3,4,5 and p(x)=0.32,0.12,0.23,0.18,0.15.

mean number of items=1*0.32+2*0.12+3*0.23+4*0.18+5*0.15=2.72

c. standard deviation of number of items=sqrt[(∑x²*p(x))-(∑x*p(x))²]

∑x²*p(x)=1*0.32+4*0.12+9*0.23+16*0.18+25*0.15=9.5

(∑x*p(x))²=(2.72)²=7.4

standard deviation of number of items=sqrt[(∑x²*p(x))-(∑x*p(x))²]=sqrt(9.5-7.4)=sqrt(2.1)=1.45

6 0
3 years ago
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