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3 years ago

Explain how a number line can be used to find the difference for 34-28

Mathematics

2 answers:

Hunter-Best [27]3 years ago

4 0

A bubbler line can be used because you can go up to 34 and go back 34

denis-greek [22]3 years ago

4 0

In the middle of the number line you subtract 34-28 and it gives u the answer

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A group of students estimated the length of one minute without reference to a watch or clock, and the times (seconds) are list

Kitty [74]

Answer:

It does not appear that, as a group, the students are reasonably good at estimating one minute.

Step-by-step explanation:

We are given the following data in the question:

75, 88, 51, 73, 49, 31, 69, 74, 72, 59, 72, 81, 99, 101, 73

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{1067}{15} = 71.13$

Sum of squares of differences = 4739.733

$S.D = \sqrt{\frac{4739.733}{14}} = 18.39$

Population mean, μ = 60 minutes

Sample mean, $\bar{x}$ = 71.13 minutes

Sample size, n = 15

Alpha, α = 0.10

Sample standard deviation, s = 18.39 minutes

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 60\text{ minutes}\\H_A: \mu \neq 60\text{ minutes}$

We use Two-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{71.13 - 60}{\frac{18.39}{\sqrt{15}} } = 2.34$

Calculating the p-value from the table, we have,

P-value = 0.034354

Since the p-value is lower than the significance level, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.

Thus, we conclude that it does not appear that, as a group, the students are reasonably good at estimating one minute.

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3 years ago

Is it possible to make a triangle with sides lengths of 12, 16 and 20? If the answer is yes, is the triangle a right triangle?

Sunny_sXe [5.5K]

Answer: Yes it can form a triangle and its a right triangle.

Step-by-step explanation:

Using the Pythagorean theorem we can see that the longest side (20) is our hypotenuse. From there you just check if its true. :)

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3 years ago

Find the area of the figure. Round to the nearest tenth if necessary. 5.5 ft 6 ft 8 ft

bogdanovich [222]

Answer:

21 savage

Step-by-step explanation:

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3 years ago

Some parts of California are particularly earthquake-prone. Suppose that in one metropolitan area, 32% of all homeowners are ins

Bumek [7]

Answer:

$P(X = 0) = 0.2138$

$P(X = 1) = 0.4025$

$P(X = 2) = 0.2841$

$P(X = 3) = 0.0891$

$P(X = 4) = 0.0105$

Step-by-step explanation:

For each homeowner, there are only two possible outcomes. Either they have invested in earthquake insurance, or they have not. The probability of a home owner having invested in earthquake insurance is independent from other homeowners. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$