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3 years ago

Number of seconds equal to 1/5 hour

Mathematics

2 answers:

kirill115 [55]3 years ago

8 0

1/5 of an hour is 12 minutes. 60 seconds x 12 minutes= 720 seconds

Minchanka [31]3 years ago

7 0

There are 720 seconds in a fifth of an hour.
$\frac{1}{5}$ of an hour (60 minutes) is 12 minutes.
12×60 is 720.

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3 Sean has 8-inch pieces of toy train track and Ruth has 18-inch pieces of train track. How

Morgarella [4.7K]

Answer:

Step-by-step explanation:

The smallest number that is divisible by two given numbers is called the Least Common Multiple (LCM) of those numbers.

What's the smallest number that is a multiple of 8 and also a multiple of 18?

One way to find out is to start making lists of multiples:

Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, and so on,

Multiples of 18: 18, 36, 54, 72, 90, 108, and so on.

This method can be a bit tedious, but in this case, it's clear that 72 is the LCM of 8 and 18.

Another method is to use the prime factorization of the two numbers.

Write 8 and 18 as the product of prime numbers; each number has a unique prime factorization.

8 = 2 x 2 x 2 = 2^3

18 = 2 x 3 x 3 = 2^1 x 3^2

To form the LCM, build a product of primes using the highest exponent in either of the two numbers.

LCM = 2^3 x 3^2 = 8 x 9 = 72.

7 0

3 years ago

Suppose a sample of 100 families of four vacationing at Niagara Falls resulted in sample mean of $282.45 spent per day and a sam

Juli2301 [7.4K]

Given Information:

Mean = μ = $282.45

Standard deviation = σ = $64.50

Sample size = n = 100

Confidence level = 95%

Required Information:

95% Confidence interval = ?

Answer:

95% Confidence interval = ($269.81, $295.09)

Step-by-step explanation:

We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.

What is Confidence Interval?

The confidence interval represents an interval that we can guarantee that the target variable will be within this interval for a given confidence level.

The confidence interval is given by

$CI = \bar{x} \pm MoE\\$

Where $\bar{x}$ is the mean and MoE is the margin of error given by

$MoE = z_{\alpha/2}(\frac{\sigma}{\sqrt{n} } ) \\$

Where σ is the standard deviation, n is the sample size and $z_{\alpha/2}$ is the z-score corresponding to 95% confidence level.

$z_{\alpha/2} = 1 - 0.95 = 0.05/2 = 0.025\\\\z_{0.025} = 1.96$

$MoE = 1.96\cdot \frac{64.50}{\sqrt{100} } \\\\MoE = 1.96\cdot 6.45\\\\MoE = 12.64\\$

Finally, the confidence interval is

$CI = \bar{x} \pm MoE\\\\CI = 282.45 \pm 12.64\\\\CI = 282.45 - 12.64 \: and \: 282.45 + 12.64\\\\CI = \$269.81 \: and \:\:\$295.09\\$

Therefore, we are 95% sure that the true population mean amount spent per day by a family of four visiting Niagara Falls is within the interval of ($269.81, $295.09)

3 0

3 years ago

Explain how you can find the sign of the product of two or more rational numbers

Solnce55 [7]

Comparing two rational numbers

Use fraction form:

Make the denominators the same and compare the numerators. The number with the smaller numerator is smaller. For example, to compare a/b and c/d, we rewrite

a/b=a*d/b*d

= ad/bd and c/d = c*b/d*b=bc/bd

Now just compare the numerators : "ad" and "bc"

Multiplying and Dividing Rational Numbers

Multiplying and dividing rational numbers in decimal form is the same as multiplying and dividing integers. The decimal place of the product is the same of all decimals of all multiplied numbers. For example, 3.12*2.4.

Solution => 3.12*2.4=7.488

When multiplying or dividing rational numbers in fractional form, you multiply the numerators (N*N) and then multiply the denominators (D*D).

When dividing rational numbers in fractional form, first take the reciprocal of the divisor, and then multiply the numerators and the denominators.

Example => 5/9 divided by 2/7 .

Solution => 5/9 * 7/2 = 35/18

Adding Rational numbers

Adding and Subtracting rational numbers in decimal form is the same as adding and subtracting integers.

Example => -3.54+2.79=-0.75

When adding or subtracting rational numbers in fractional form, first make the denominator equal, and then add or subtract the numerators.

8 0

3 years ago

PLEASE HELP I GIVE BRAINLIST! THIS IS ALMOST DUE!

labwork [276]

Answer:

"B A C" 16x20=320

Step-by-step explanation:

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3 years ago

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Artyom0805 [142]

Answer:

Step-by-step explanation:

Use the pythagorean theorem ( $a^2+b^2=c^2$ ). A and b are the two legs of the triangle, and c is ALWAYS the hypotenuse. Plug in the values for a and c

$a^2+b^2=c^2$

$5^2+b^2=13^2$

$25+b^2=169$

$b^2=144$

$b=12$

6 0

3 years ago

Read 2 more answers