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Dahasolnce [82]
3 years ago
7

Help me answer these questions asap ​

Mathematics
1 answer:
konstantin123 [22]3 years ago
8 0

Answer:

the corc is 3/4 it means that 3 gallons leak every 4 minutes

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The probability distribution of a random variable X is given. x 1 2 3 4 P(X = x) 0.4 0.1 0.3 0.2 Compute the mean, variance, and
Readme [11.4K]

Mean:

E(X) = \displaystyle \sum_{x\in\{1,2,3,4\}}x\,P(X=x) = 1\times0.4 + 2\times0.1 + 3\times0.3 + 4\times0.2 = \boxed{2.3}

Variance:

\displaystyle V(X) = E\left((X-E(X))^2\right) = E(X^2) - E(X)^2 \\\\ E(X^2) = \sum_{x\in\{1,2,3,4\}}x^2\,P(X=x) = 1^2\times0.4 + 2^2\times0.1 + 3^2\times0.3 + 4^2\times0.2 = 6.7 \\\\ \implies V(X) = 6.7 - 2.3^2 = \boxed{1.41}

Standard deviation:

\sigma_X = \sqrt{V(X)} = \sqrt{1.41} \approx \boxed{1.19}

5 0
3 years ago
Can anyone help me? I'm having trouble.
lozanna [386]
Sure!! Tell me the equation :)
5 0
3 years ago
Read 2 more answers
10 points for two questions please don’t write anything just to take my points
Westkost [7]

Answer:

5) J:(-1,1) A:(-1,-3) I:(3,-2)

6) J:(0,0) M:(3,1) E:(0,-1) X:(5,0)

Step-by-step explanation:

5) x + 4, y - 4

6) x + 2, y + 3

5 0
3 years ago
The question is below
jekas [21]

1. The rule is that for something to be a function, one input(x-value) can ONLY HAVE ONE output(y-value). If one input has more than one output, it is not a function. Your answer is #1 because you can only have 1 output

2. Since you've been given the input -> x = -10, substitute/plug it into the equation to find the output:

y=\frac{3}{2} x+6      Plug in -10 into "x"

y=\frac{3}{2} (-10)+6

y = -15 + 6

y = -9         Your answer is #2

5 0
3 years ago
Ashley is making bracelets to sell. She wants to make at least $450. Each bracelet costs $18 to make. She is selling them for $3
Anvisha [2.4K]

Answer:

144 bracelets

Step-by-step explanation:

Ashley is making bracelets to sell. She wants to make at least $450. Each bracelet costs $18 to make. She is selling them for $30 each. What is the minimum number she can sell to reach her goal

Let us represent the minimum number of bracelets she can sell= x

Hence, our Equation is

$18 + $30 × x ≤ $450

$18 + 3x ≤ 450

3x ≤ $450 - $18

3x ≤ $432

x ≤ $432/3

x ≤ 144

The minimum number of bracket = 144 bracelets

8 0
3 years ago
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