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3 years ago

Find the probability of selecting a multiple of 2 or a multiple of 3 from the integers 1-20

Mathematics

1 answer:

katovenus [111]3 years ago

4 0

Answer:

Step-by-step explanation:

I have listed every number and unbolded the numbers that are divisible by 2 and 3

so it is 13/20

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Find the whole 25% of is 21

Nat2105 [25]

25% of 84 is 21

21 divided by 25%=84

5 0

4 years ago

Read 2 more answers

The number of "destination weddings" has skyrocketed in recent years. For example, many couples are opting to have their wedding

melamori03 [73]

Answer:

We conclude that the mean wedding cost is less than $30,000 as advertised.

Step-by-step explanation:

We are given the following data set:(in thousands)

29100, 28500, 28800, 29400, 29800, 29800, 30100, 30600

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.

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

$Mean =\displaystyle\frac{236100}{8} = 29512.5$

Sum of squares of differences = 3408750

$S.D = \sqrt{\frac{3408750}{7}} = 697.82$

Population mean, μ = $30,000

Sample mean, $\bar{x}$ = $29512.5

Sample size, n = 8

Alpha, α = 0.05

Sample standard deviation, s = $ 697.82

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 30000\text{ dollars}\\H_A: \mu < 30000\text{ dollars}$ We use one-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

$t_{stat} = \displaystyle\frac{29512.5 - 30000}{\frac{697.82}{\sqrt{8}} } = -1.975$

Now,

$t_{critical} \text{ at 0.05 level of significance, 7 degree of freedom } = -1.894$

Since,

$t_{stat} < t_{critical}$

We fail to accept the null hypothesis and reject it.

We conclude that the mean wedding cost is less than $30,000 as advertised.

8 0

4 years ago

The output is eleven more than the input

Y_Kistochka [10]

X is the input and y is the output, "more" indicates addition, so 11 more than the input equals x + 11. Answer: y = x + 11

8 0

3 years ago

Read 2 more answers

The table shows the battery life of four different mobile phones:

Pie

Answer:

A 20

Step-by-step explanation:

Given

Phone Battery Life (hours)

A 20

B 25

C 10

D 18

8.45% of the battery life of each mobile phone is used in a day by a typical user

Calculating Hours of battery life in a day for each mobile

A 20

Battery life for A = $\frac{8.45}{100}\times 20 = 1.69$ hours

B 25

Battery life for B = $\frac{8.45}{100}\times 25 = 2.11$ hours

C 10

Battery life for C = $\frac{8.45}{100}\times 10 = 0.845$ hours

D 18

Battery life for D = $\frac{8.45}{100}\times 18 = 1.52$ hours

Therefor Mobile phone A 20 uses a total of 1.69 hours of battery life in a day

4 0

4 years ago

What is the graph of x=-5

asambeis [7]

x = a - is a vertical line, where a is any real number

x = -5 - the vertical line passes through any points in the form (-5, y). Where y is any real number.

Look at the picture.

7 0

3 years ago