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9966 [12]
3 years ago
5

Please help me with this question!

Mathematics
1 answer:
mezya [45]3 years ago
3 0

Answer:

height =  \frac{12 - 8}{2}  = 2 \\ area =  \frac{(12 + 8) \times 2}{2}  = 20

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A random number is selected from the interval [6.35, 10]. Find the probability that the number is within a distance of 0.25 from
exis [7]

Let <em>X</em> be a random number selected from the interval. Then the probability density for the random variable <em>X</em> is

f_X(x)=\begin{cases}\dfrac1{10-6.35}=\dfrac1{3.65}\approx0.2740&\text{if }6.35\le x\le 10\\0&\text{otherwise}\end{cases}

8 and 10 are the only even integers that fit the given criterion (6 is more than 0.25 away from 6.35), so that we're looking to compute

P(|<em>X</em> - 8| < 0.25) + P(|<em>X</em> - 10| < 0.25)

… = P(7.75 < <em>X</em> < 8.25) + P(9.75 < <em>X</em> < 10.25)

… = P(7.75 < <em>X</em> < 8.25) + P(9.75 < <em>X</em> < 10)

(since P(<em>X</em> > 10) = 0)

… = 0.2740 (8.25 - 7.75) + 0.2740 (10 - 9.75)

… = 0.2055

6 0
3 years ago
A pair of boots costing $299 is marked down 45%.
Paraphin [41]

Answer: 164.45

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
The quadratic equation 2x^2+4x-30=0 has two solutions. one of the solutions is x=3 the other solution is?
BartSMP [9]

Answer:

2x^2+4x-30=0

Step-by-step explanation:

2x^2+10x-6x-30=0

2x(x+5)-6(x+5)=0

(2x-6)(x+5)=0

2x-6=0        x+5=0

x=6/2          x=-5

x=3

6 0
3 years ago
Read 2 more answers
Please hurry! Thanks &lt;3
Gwar [14]

Answer:

they match with each other

A -1

B-2

C-3

Step-by-step explanation:

6 0
2 years ago
I don't know how to do this!!​
saw5 [17]
3x-1=77 (due to exterior alternate angle)
Or, 3x=77-1
or, 3x=76
or, x=76/3
or, x=25.3
6 0
2 years ago
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