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3 years ago

1. A spinner has 5 equal sectors numbered 1 through 5. What is the probability that the result of a spin will be an odd number?

Mathematics

1 answer:

allsm [11]3 years ago

8 0

Answer:

60%

Step-by-step explanation:

Possible numebrs that can be picked are 1,2,3,4,5

The only odd numbers are 1,3,5

3 odd numbers out of 5 possible numbers

3/5=0.6=60%

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Find the slope of the line that passes through (-46, -41) and (-11, -8).<br>

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All 6 members of a family work. Their hourly wages (in dollars) are the following.37, 38, 39, 40, 39, 11Assuming that these wage

tiny-mole [99]

We have a sample that in fact represents the population.

We have to calculate the standard deviation of this population.

The difference between the standard deviation of a population comparing it to the calculation of the standard deviation of a sample is that we divide by the population side n instead of (n-1).

We have to start by calculating the mean of the population first:

$\begin{gathered} \mu=\dfrac{1}{n}\sum ^n_{i=1}\, x_i \\ \mu=\dfrac{1}{6}(37+38+39+40+39+11) \\ \mu=\dfrac{204}{6} \\ \mu=34 \end{gathered}$

Now, we can calculate the standard deviation as:

$\sigma=\sqrt[]{\dfrac{1}{n}\sum^n_{i=1}\, (x_i-\mu)^2}$ $\begin{gathered} \sigma=\sqrt[]{\dfrac{1}{6}((37-34)^2+(38-34)^2+(39-34)^2+(40-34)^2+(39-34)^2+(11-34)^2)} \\ \sigma=\sqrt[]{\frac{1}{6}(3^2+4^2+5^2+6^2+5^2+(-23)^2)} \\ \sigma=\sqrt[]{\frac{1}{6}(9+16+25+36+25+529)} \\ \sigma=\sqrt[]{\frac{1}{6}(640)} \\ \sigma\approx\sqrt[]{106.67} \\ \sigma\approx10.33 \end{gathered}$

Answer: the standard deviation of this population is approximately 10.33

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2 years ago

Walkway Over the Hudson, a bridge that crosses the Hudson River in Poughkeepsie, is 2.063 kilometers long. Anping Bridge, which

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a. The total span of both bridges is 4.133 km.

When calculating the total of two different numbers, addition is the correct math operation to be used. We know that we need to add the length of the bridges together because the word <em>span</em> is the same as length. Also, the question asks about both bridges and uses the word <em>total. </em>2.063 + 2.07 = 4.133 km.

b. Leah and her dog will walk 4.126 km.

The question says that Leah walks across and back. This means she goes over the bridge two times. Times indicates that we should use multiplication for our math operation. Since she does the length two times, we need to multiply the length of the Walkway Over the Hudson bridge times 2. The math equation is 2.063 x 2 = 4.126 km.

<h3>Further Explanation</h3>

Addition

Addition is the math operation used to determine the total of a set of different numbers. Total means how many altogether.

Multiplication

Multiplication is the math operation used when finding the total when a number occurs multiple times.

Division

Division is used when breaking a number into an equal number of groups.

Subtraction

Subtraction is used when trying to find the difference between numbers

<h3>Answer Details</h3>

Subject: Math

Level: Middle School

Topic: Word Problems

<h3>Keywords</h3>

multiplication, division, addition, subtraction

<h3>Learn More</h3>

What is multiplication?: brainly.com/question/1135170

What are the properties of addition?: brainly.com/question/11036741

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