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3 years ago

Determine if the set of numbers create a Pythagorean triple. 2.1, 7.2, and 7.5

Mathematics

1 answer:

Minchanka [31]3 years ago

8 0

Answer:

Yes, the set of numbers create a Pythagorean triple

Step-by-step explanation:

we know that

If a set of numbers create a Pythagorean triple, then the set of numbers must satisfy the Pythagorean Theorem

$c^2=a^2+b^2$

where

c is the greater side

a and b are the legs (perpendicular sides)

we have

$c=7.5\\a=2.1\\b=7.2$

substitute

$7.5^2=2.1^2+7.2^2$

$56.25=4.41+51.84$

$56.25=56.25$ ----> is true

therefore

Yes, the set of numbers create a Pythagorean triple

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How do you write 5.9 in expanded form

tresset_1 [31]

Answer:
(5 * 1) + (9 * 0.1).

Explanation:
To write a number in expanded form you have each digit multiplied by its numbers place and add each digit together. 5 is in the ones place so it becomes (5 * 1).
9 is in the tenths place so it becomes (9 * 0.1).
add them together to get (5 * 1) + (9 * 0.1)

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3 years ago

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tapes-r-us is have a sale on hq tape players. The regular price is $60. The discount is $18. What percent discount is this?

olga nikolaevna [1]

The discount is 30%

Step-by-step explanation:

Given

Price of tape = $60

Discount = $18

In order to find the percentage, we will use the percentage formula

$Percentage = \frac{discount}{Price}*100\\= \frac{18}{60} *100\\=0.3 * 100\\= 30\%$

Hence,

The discount is 30%

Keywords: Percent, sale

Learn more about percentage at:

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3 years ago

Rational number 7/3 has terminating decimal

vfiekz [6]

Answer:

2.33

Step-by-step explanation:

Plug "7/3" in your calculator and round to the nearest hundredth (by finding the hundredth's place, looking at the digit before it, and moving the hundredth's place up one value if you deciphering that the digit before is greater/equal to 5). If you need a terminating decimal, you need to round. If you don't need it as a terminating decimal, add a ling over the last digit where the decimal begins to repeat.

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3 years ago

I need help with this question

vlabodo [156]

K= 52!!

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3 years ago

A national grocery store chain wants to test the difference in the average weight of turkeys sold in Detroit and the average wei

Arte-miy333 [17]

Answer:

Calculated value t = 1.3622 < 2.081 at 0.05 level of significance with 42 degrees of freedom

The null hypothesis is accepted .

Assume the population variances are approximately the same

Step-by-step explanation:

Explanation:-

Given data a random sample of 20 turkeys sold at the chain's stores in Detroit yielded a sample mean of 17.53 pounds, with a sample standard deviation of 3.2 pounds

The first sample size 'n₁'= 20

mean of the first sample 'x₁⁻'= 17.53 pounds

standard deviation of first sample S₁ = 3.2 pounds

Given data a random sample of 24 turkeys sold at the chain's stores in Charlotte yielded a sample mean of 14.89 pounds, with a sample standard deviation of 2.7 pounds

The second sample size n₂ = 24

mean of the second sample "x₂⁻"= 14.89 pounds

standard deviation of second sample S₂ = 2.7 pounds

Null hypothesis:-H₀: The Population Variance are approximately same

Alternatively hypothesis: H₁:The Population Variance are approximately same

Level of significance ∝ =0.05

Degrees of freedom ν = n₁ +n₂ -2 =20+24-2 = 42

Test statistic :-

$t = \frac{x^{-} _{1} - x_{2} }{\sqrt{S^2(\frac{1}{n_{1} } }+\frac{1}{n_{2} } }$

where $S^{2} = \frac{n_{1} S_{1} ^{2}+n_{2}S_{2} ^{2} }{n_{1} +n_{2} -2}$

$S^{2} = \frac{20X(3.2)^2+24X(2.7)^2}{20+24-2}$

substitute values and we get S² = 40.988

$t= \frac{17.53-14.89 }{\sqrt{40.988(\frac{1}{20} }+\frac{1}{24} )}$

t = 1.3622

Calculated value t = 1.3622

Tabulated value 't' = 2.081

Calculated value t = 1.3622 < 2.081 at 0.05 level of significance with 42 degrees of freedom

Conclusion:-

The null hypothesis is accepted

Assume the population variances are approximately the same.

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3 years ago