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Anuta_ua [19.1K]
2 years ago
10

What did you do today? 3 things

Mathematics
1 answer:
nlexa [21]2 years ago
4 0

Answer:

eat sleep play

Step-by-step explanation:

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An object moves at a constant rate. The graph shows the object's height at different times. Which equation represents the situat
zlopas [31]
<span>d. y = 15x 900</span>

Although you do not give the rates I assume the answer is D as it is the only positive multiplication. You cannot have negative height.
3 0
3 years ago
Read 2 more answers
The random variable x has the following probability distribution: x f(x) 0 .25 1 .20 2 .15 3 .30 4 .10 a. Is this probability di
Reptile [31]

Answer and Explanation:

Given : The random variable x has the following probability distribution.

To find :

a. Is this probability distribution valid? Explain and list the requirements for a valid probability distribution.

b. Calculate the expected value of x.

c. Calculate the variance of x.

d. Calculate the standard deviation of x.

Solution :

First we create the table as per requirements,

x      P(x)         xP(x)           x²            x²P(x)

0    0.25           0               0                0

1     0.20        0.20             1              0.20

2    0.15          0.3               4             0.6

3    0.30         0.9               9             2.7

4    0.10          0.4               16             1.6

   ∑P(x)=1     ∑xP(x)=1.8               ∑x²P(x)=5.1

a) To determine that table shows a probability distribution we add up all five probabilities if the sum is 1 then it is a valid distribution.

\sum P(X)=0.25+0.20+0.15+0.30+0.10

\sum P(X)=1

Yes it is a probability distribution.

b) The expected value of x is defined as

E(x)=\sum xP(x)=1.8

c) The variance of x is defined as

V=\sum x^2P(x)-(\sum xP(x))^2\\V=5.1-(1.8)^2\\V=5.1-3.24\\V=1.86

d) The standard deviation of x is  defined as

\sigma=\sqrt{V}

\sigma=\sqrt{1.86}

\sigma=1.136

5 0
2 years ago
Figure one and figure 2 are similar quadrilaterals. Which proportion must be true?
amm1812

Step-by-step explanation:

option C is the correct answer of this question

5 0
3 years ago
The sum of three guys ages is 62. Angelo is two years younger than Aaron and Alfred is four years older than twice Aaron's age.
marishachu [46]

Answer: Angelo is 13 years old.

Aaron is 15 years old

Alfred is 34 years old

Step-by-step explanation:

Let x represent the age of Angelo.

Let y represent the age of Aaron.

Let z represent the age of Alfred

The sum of three guys ages is 62. It means that

x + y + z = 62 - - - - - - - - - - -1

Angelo is two years younger than Aaron. It means that

x = y - 2

Alfred is four years older than twice Aaron's age. It means that

z = 2y + 4

Substituting x = y - 2 and z = 2y + 4 into equation 1, it becomes

y - 2 + y + 2y + 4 = 62

4y + 2 = 62

4y = 62 - 2 = 60

y = 60/4 = 15

x = y - 2 = 15 - 2

x = 13

z = 2y + 4 = 2 × 15 + 4

z = 34

6 0
3 years ago
Y - 4x = 5<br> 8x - 2y = 16<br> Solve using system of equations
kumpel [21]

Answer:

No solution

Step-by-step explanation:

Let's solve this system using elimination through addition/subtraction.  Multiply the second equation by (1/2), which results in the system

y - 4x = 5

4x - y = 8

--------------

0x + 0y = 13.  This is NEVER true.  This system of equation has NO  SOLUTION.

8 0
3 years ago
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