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Maurinko [17]
3 years ago
6

Evaluate the expression 12-3x+4(10-2 cubed) for x=2/3

Mathematics
1 answer:
suter [353]3 years ago
4 0
12 - 3x + 4 ( 10 - 2^3 )
12 - 3 ( 2/3 ) + 4 ( 10 - 2^3 )
12 - 2 + 4 ( 10 - 8 )
12 - 2 + 40 - 32
10 + 8
18
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What are the zeros of f(x)=x^2+x-20?
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F(x) = x² + x - 20 = x² + 5x - 4x - 20 = x(x + 5) - 4(x + 5) = (x + 5)(x - 4)

f(x) = 0 ⇔ (x + 5)(x - 4) = 0 ⇔ x + 5 = 0 or x - 4 = 0 ⇒ x = -5 or x = 4

Answer: C. x = -5 and x = 4.
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Plz need help <br> It’s for geometry
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Angle x = 48

Angle y = 42

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What is the schumer box?
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5 0
2 years ago
A data includes 108 body temperature od healthy adult humans having a mean of 98.2 f and a standard deviation of .64f. Contruct
leonid [27]

Answer: ( 98.04f, 98.40f ), it is not accepted

Step-by-step explanation: the question is suggesting we construct a 99% confidence interval for mean body temperature.

The formulae for Constructing a 99% confidence interval is given below as

u = x + Zα/2 × (s/√n)........... For the upper limit

u = x - Zα/2 × (s/√n)........... For the lower limit

Where u = population mean

x = sample mean = 98.2

s = sample standard deviation = 0.64

n = sample size = 108.

Zα/2 = critical value for a 2 tailed test performed at a 1% level of significance ( 100% - 99%) = 2.58

We are making use of our z test because sample size is greater than 30 ( n = 108).

By substituting the parameters, we have that

For upper limit

u = x + Zα/2 × (s/√n)

u = 98.2 + 2.58 ( 0.64/√108)

u = 98.2 + 2.58 ( 0.0616)

u = 98.2 + 0.1589

u = 98.4

For lower limit

u = x - Zα/2 × (s/√n)

u = 98.2 - 2.58 ( 0.64/√108)

u = 98.2 - 2.58 ( 0.0616)

u = 98.2 - 0.1589

u = 98.04.

Hence the 99% confidence interval for mean temperature of human is ( 98.04f, 98.40f )

Using 98.6f as the average mean body temperature is wrong because it is out of the confidence interval calculated above.

Our confidence interval states that at 99% confidence interval, an average human temperature should be at least 98.04f and at most 98.40f.

98.6f is out of the range.

4 0
3 years ago
If Fran were to paint her living room alone, it would take 6 hours. Her sister Denise
GalinKa [24]

Answer:

It will take Fran and Denise 3\frac{3}{7} hours to paint the living room.

Step-by-step explanation:

Given that:

Time taken by Fran to paint living house = 6 hours

Time taken by Denise = 8 hours

Let,

x be the time taken by both of them.

\frac{1}{Fran's\ share}+\frac{1}{Denise's\ share}=\frac{1}{x}\\\\\frac{1}{6}+\frac{1}{8}=\frac{1}{x}\\\\\frac{4+3}{24}=\frac{1}{x}\\\\\frac{7}{24}=\frac{1}{x}\\\\x = \frac{24}{7}

x = 3\frac{3}{7} hours

Hence,

It will take Fran and Denise 3\frac{3}{7} hours to paint the living room.

4 0
3 years ago
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