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Sever21 [200]
2 years ago
12

State all integer values of x in the interval (2,8) that satisfy the following inequality:

Mathematics
1 answer:
lidiya [134]2 years ago
3 0

Answer:

3,4,5,6 and 7

Step-by-step explanation:

Given

5x + 4 \ge 19

Required

State the values of x within 2 and 8

5x + 4 \ge 19

Collect Like Terms

5x \ge 19 - 4

5x \ge 15

Divide both sides by 5

\frac{5x}{5} \ge \frac{15}{5}

x \ge 3

(2,8) is an open interval which means that 2 and 8 are not inclusive of the values of x.

So:

The values of x \ge 3 are: 3,4,5,6 and 7

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faust18 [17]

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3 0
3 years ago
Based on the attendance at past picnics, Luis expects 95% of the students in his class to attend this years picnic. If 120 stude
Sever21 [200]

Answer:

95 / 100 * 120 = 114 students

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6 0
3 years ago
A four year old is going to spin around with his arms stretched out 100 times. From past experience, his father knows it takes a
Sati [7]

Answer:

P(X \geq0.55) \leq 0.22

Step-by-step explanation:

Using central Limit Theorem (CLT), The sum of 100 random variables;

Y=X_1+X_2+...+X_{100} is approximately normally distributed with

Y ~ N (100 × \frac{1}{3^2} ) = N ( 50, \frac{100}{9} )

The approximate probability that it will take this child over 55 seconds to complete spinning can be determined as follows;

N ( 50, \frac{100}{9} )

P(Y>55) =P(Z>\frac{55-50}{10/3})

P(Y>55) =P(Z>1.5)

P(Y>55) =\phi (-1.5)

P(Y>55) =0.0668

Using Chebyshev's inequality:

P(|X-\mu\geq K)\leq \frac{\sigma^2}{K^2}

Let assume that X has a symmetric distribution:

Then:

2P(X-\mu\geq K)\leq) \frac{\sigma^2}{K^2}

2P(X \geq \mu+K)\leq) \frac{\sigma^2}{K^2}

2P(X\geq0.5+0.05)\leq \frac{\frac{1}{\frac{3^2}{100} } }{0.05^2}               where: (\sigma^2 = \frac{1}{3^2/100})

P(X \geq0.55) \leq 0.22

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3 years ago
Jess bought a can of paint, whose label stated that the contents of the can were su cient to cover 150 square feet. The surface
professor190 [17]
This is not an appropriate way of completing your homework.
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3 years ago
Which of these are the constant?<br> 4y+1+9x
kupik [55]

Answer:

1 is the constant

Step-by-step explanation:

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3 years ago
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