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3 years ago

The hypotenuse of a right triangle is 17. The lengths of the two legs are whole numbers. What are they?

Mathematics

1 answer:

vlada-n [284]3 years ago

6 0

The legs are 10 and 14 both squared 100+196 =296 find the square root of it = to 17.2

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Convert 498,000 into scientific notation

Paladinen [302]

Hello! The answer to your question would be as followed:

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4 years ago

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Find x and y in the system of equations:

NemiM [27]

Answer:

Y= -8

X= 3

Step-by-step explanation:

apply -(-a)=a rule

-23+4*8/3

-23+4*8=9

9/3

2y-(3)=-19

y= -8

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3 years ago

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On a map, Melbourne, Australia, is 22 centimeters from Sydney, Australia. The actual distance is 880 kilometers. If Canberra, Au

marysya [2.9K]

7 centimeters because you have to find how many kilometers are in each kilometer and that is 40 so then you divide 286 by 49 which is 7.15 then you round

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3 years ago

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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.

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4 years ago

Jacob’s daily tips this work week were $99, $78, $58, $91, $90, and $68. Is Jacob correct in thinking that the median best repre

skad [1K]

Option d: Yes, Jacob is correct. The median amount he makes is $84.00 in a day.

Explanation:

It is given that Jacob's daily tips for week are $99, $78, $58, $91, $90, and $68.

We need to determine the median of how much money he makes in daily tips.

Thus, to determine the median, first let us arrange the tips in ascending order.

Ascending order: $58, $68, $78, $90, $91 and $99

Since, the group is an even number of terms, let us add the two middle terms and divide by 2.

Median = $\frac{78+90}{2} =84$

Thus, the median is 84.

Hence, The median amount Jacob makes is $84.00 in a day.

Thus, Option d is the correct answer.

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3 years ago

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