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3 years ago

Give the equivalent value of the fraction in decimal form, and then determine if it is a terminating or repeating decimal.

Mathematics

1 answer:

maxonik [38]3 years ago

5 0

Answer:

The decimal equivalent of 34/5 is 6.8. It is a terminating decimal.

Step-by-step explanation:

A fraction will have a terminating decimal representation if its denominator is some product of powers of 2 and powers of 5. Here, the denominator is 5, so the decimal fraction will terminate.

34/5 = 68/10 = 6.8 . . . . . this is a terminating decimal value

_____

If the denominator has any other factor (other than 2 or 5), the decimal representation will repeat. The length of the repeat may be up to n-1 digits, where n is the factor of the denominator that remains after powers of 2 and 5 have been removed. For example, the decimal representation of 1/7 has a 6-digit repeat; 1/19 has an 18-digit repeating decimal representation.

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Being timed help asappp picture attatched

nirvana33 [79]

Answer:

The answer to your question is ∠3 = 24°

Step-by-step explanation:

Data

∠4 = 11x

∠3 = 4x

Process

1.- From the picture, we know that angles 3 and 4 are complementary so if we sum them up the result is 90°.

∠3 + ∠4 = 90°

2.- Substitution

4x + 11x = 90°

3.- Simplification and result

15x = 90°

x = 90/15

x = 6

4.- Find angle 3

∠3 = 4(6)

∠3 = 24°

6 0

3 years ago

Read 2 more answers

A zoning board in Pine County is interested in estimating the proportion of its residents in favor of larger school zones in tha

Levart [38]

Answer:

C) At the 95% confidence level, the estimate of 0.48 is within 0.02 of the true proportion of county residents in favor of larger school zones in that county.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

In this question:

95% CI between 0.48 - 0.02 = 0.46 and 0.48+0.02 = 0.5.

The interpretation is that we are 95% sure that the true population proportion is in this interval, that is, with 95% confidence, the estimate is within 0.02 of the true proportion, and so the correct answer is given by option C.

4 0

2 years ago

The mean cost of domestic airfares in the United States rose to an all-time high of $385 per ticket (Bureau of Transportation St

saveliy_v [14]

Answer:

a)0.067

b)0.111

c)0.612

d)$687.28

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $385

Standard Deviation, σ = $110

We are given that the distribution of domestic airfares is a bell shaped distribution that is a normal distribution.

Formula:

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

a) P(domestic airfare is $550 or more)

P(x > 550)

$P( x > 550) = P( z > \displaystyle\frac{550 - 385}{110}) = P(z > 1.5)$

$= 1 - P(z \leq 1.5)$

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

$P(x > 550) = 1 - 0.933 = 0.067= 6.7\%$

b) P(domestic airfare is $250 or less)

$P(x \leq 250) = P(z \leq \displaystyle\frac{250-385}{110}) = P(z \leq -1.22)$

Calculating the value from the standard normal table we have,

$P( x \leq 250) = 0.111 = 11.1\%$

c))P(domestic airfare is between $300 and $500)

$P(300 \leq x \leq 500) = P(\displaystyle\frac{300 - 385}{110} \leq z \leq \displaystyle\frac{500-385}{110}) = P(-0.77 \leq z \leq 1.04)\\\\= P(z \leq 1.04) - P(z < -0.77)\\= 0.851 - 0.239 = 0.612 = 61.2\%$