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3 years ago

So far you have completed 80% of the problems for your math exam. Your exam

Mathematics

2 answers:

Nataly [62]3 years ago

7 0

Answer:

I think 9.

Step-by-step explanation:

Good Luck have the best day ever!!!༼ つ ◕_◕ ༽つ

zmey [24]3 years ago

5 0

Answer:

Problems left to complete = 9

Step-by-step explanation:

Given that:

Number of problems on the test = 45

Percent of completed problems = 80%

Number of completed problems = $\frac{80}{100}*45$

Number of completed problems = 0.8 * 45 = 36

Problems left to complete = 45 - 36

Problems left = 9

Hence,

Problems left to complete = 9

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xz_007 [3.2K]

The answer is C good luck on ur test

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2 years ago

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Carl earns $8 per hour in his summer job. He hopes to earn between $120 and $200 per week. How many hours (x) will he need to wo

yanalaym [24]

He would need to work

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8 0

3 years ago

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Q6. (15 points) IQ examination scores of 500 members of a club are normally distributed with mean of 165 and SD of 15.

melamori03 [73]

Answer:

a) 0.8413

b) 421

c) $P_{95} = 189.675$

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 165

Standard Deviation, σ = 15

We are given that the distribution of IQ examination scores is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(IQ scores at most 180)

P(x < 180)

$P( x < 180) = P( z < \displaystyle\frac{180 - 165}{15}) = P(z < 1)$

Calculation the value from standard normal z table, we have,

$P(x < 180) = 0.8413 = 84.13\%$

b) Number of the members of the club have IQ scores at most 180

n = 500

$\text{Members} = n\times \text{P(IQ scores at most 180)}\\= 500\times 0.8413\\=420.65 \approc 421$

c) P(X< x) = 0.95

We have to find the value of x such that the probability is 0.95

$P( X < x) = P( z < \displaystyle\frac{x - 165}{15})=0.95$

Calculation the value from standard normal z table, we have,

$P(z < 1.645) = 0.95$

$\displaystyle\frac{x - 165}{15} = 1.645\\\\x = 189.675$

$P_{95} = 189.675$

8 0

3 years ago

Find x: 3/(x-4)(x-7) + 6/(x-7)(x-13) + 15/(x-13)(x-28) - 1/x-28 = -1/20

Novay_Z [31]

The value of x in the polynomial fraction 3/((x-4)•(x-7)) + 6/((x-7)•(x-13)) + 15/((x-13)•(x-28)) - 1/(x-28) = -1/20 is x = 24

<h3>How can the polynomial with fractions be simplified to find x?</h3>

The given equation is presented as follows;

$\frac{3}{(x - 4) \cdot (x - 7) } + \frac{6}{(x - 7) \cdot (x - 13) } + +\frac{15}{(x - 13) \cdot (x - 28) } - \frac{1}{(x - 28) } = - \frac{1}{20}$

Factoring the common denominator, we have;

$\frac{3\cdot(x - 13) \cdot(x - 28) + 6 \cdot(x - 4) \cdot(x - 28) + 15 \cdot(x - 4) \cdot(x - 7) - (x - 4) \cdot (x - 7)\cdot(x - 13)}{(x - 4) \cdot (x - 7)\cdot(x - 13) \cdot(x - 28)} + = - \frac{1}{20}$

Simplifying the numerator of the right hand side using a graphing calculator, we get;

By expanding and collecting, the terms of the numerator gives;

-(x³ - 48•x + 651•x - 2548)

Given that the terms of the numerator have several factors in common, we get;

-(x³ - 48•x + 651•x - 2548) = -(x-7)•(x-28)•(x-13)

Which gives;

$\frac{-(x - 7) \cdot(x - 28)\cdot (x - 13)}{(x - 4) \cdot (x - 7)\cdot(x - 13) \cdot(x - 28)} + = - \frac{1}{20}$

Which gives;

$\frac{-1}{(x - 4)} + = - \frac{1}{20}$

x - 4 = 20

Therefore;

x = 20 + 4 = 24

Learn more about polynomials with fractions here:

brainly.com/question/12262414

#SPJ1

5 0

1 year ago

0=-20.5x+16.35x-0.1245

Pachacha [2.7K]

The value of x in the given equation $-20.5x+16.35x -0.1245 = 0\\$ is 0.03

Step-by-step explanation:

The given equation is that $-20.5x+16.35x -0.1245 = 0\\$

The steps to be followed to solve the equation are :

Add the like terms together to reduce the equation in a simplified form.

Here, there are two x terms and they must be reduced to a single term.

For this, add the both terms together so that the equation is simplified into one x term and a constant term.

⇒ $(-20.5x+16.35x) - 0.1245 = 0$

⇒ $4.15x-0.1245 = 0$

To eliminate the constant term on the left side of the equation, add 0.1245 on both sides.

⇒ $4.15x -0.1245+0.1245 = 0.1245$

⇒ $4.15x = 0.1245$

Now, the equation is further simplified by dividing 4.15 on both sides,

⇒ $4.15x / 4.15 = 0.1245/4.15$

⇒ $x = 0.03$

Therefore, the value of x is 0.03

7 0

3 years ago