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3 years ago

Solving one step equation x/9=-5

Mathematics

1 answer:

kogti [31]3 years ago

4 0

Answer:

x=-45

Step-by-step explanation:

You do inverse operation. Since x/9=-5, you would have to multiply -5 by 9 to get -45 because multiplication is the inverse of division.

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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

Given that €1= £0.72 what is the £ to € what is the exchange rate

Black_prince [1.1K]

The exchange rate from <span>£ to € would be 1/0.72 or 1 to 1.889</span>

4 0

3 years ago

74 is a rational number but not a whole number. 74 is a whole number but not a rational number. 74 is a whole number and a ratio

Lady_Fox [76]

Answer:

Option C: 74 is both a whole number and a rational number.

Step-by-step explanation:

A rational number is defined as a number which can be written as a fraction of two integers, an integer, a whole number and a natural number. The integer could be positive or negative.

Examples include -1/4, 1/2, 12

So it's obvious that the given number of 74 is a rational number.

Now, a whole number is simply a non - negative integer.

An integer is a number that is not a fraction.

Thus, examples of whole numbers are 0, 1, 2, 3, 4...

So 74 is clearly a whole number.

Therefore, we can conclude that 74 is both a whole number and a rational number.

5 0

3 years ago

A diver went 3 feet below the surface of the water and tagged a rock with a flag, and then went down an additional 2 feet to tag

masha68 [24]

Answer: B

Step-by-step explanation:

if he went from 3 ft under and proceeded to go 2 more feet, he’ll end at at 5 feet under (-5 ) making B the right answer with -3 to -5

3 0

3 years ago

Read 2 more answers

Test worth 50 points; test score of 96 write a proportion to find how many points a student needs to score on the test to get th

Semmy [17]

Answer: The student needs 144 points to get a score of 96%

Step-by-step explanation:

6 0

3 years ago