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goldenfox [79]
3 years ago
11

Nigel is planning his training schedule for a marathon over a 4-day period. He is uncertain how many miles he will run on two da

ys. One expression for the total miles he will run is 12+y+17+z. Use the Commutative Property to write an equivalent expression.
Mathematics
1 answer:
KengaRu [80]3 years ago
4 0

Answer:

12+17+y+z or 29+y+z.

Step-by-step explanation:

We have been given that Nigel is planning his training schedule for a marathon over a 4-day period. He is uncertain how many miles he will run on two days. One expression for the total miles he will run is 12+y+17+z.

The Commutative Property of Addition states that we can add numbers in any order. For example a and b be two numbers.

According to Commutative Property of Addition a+b=b+a.

Similarly, we can write an equivalent expression to our given expression as:

12+17+y+z

We can simplify our expression as:

29+y+z.

Therefore, our required expression would be 12+17+y+z or 29+y+z.

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The perimeter of a semicircle is 81.212 yards. what is the semicircle's diameter?
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2 years ago
6. A psychology professor of a large class became curious as to whether the students who turned in tests first scored differentl
grigory [225]

Answer: Z is less than Zc ∴ 1.342 < 1.96

Therefore, Null hypothesis is not Rejected.

There is no sufficient evidence to claim that students turning in their test first score is significantly different from the mean.

Step-by-step explanation:

Given that;

U = 75

X = 78

standard deviation α = 10

sample size n = 20

population is normally distributed

PROBLEM is to test

H₀ : U = 75

H₁ : U ≠ 75

TEST STATISTIC

since we know the standard deviation

Z =  (X - U) / ( α /√n)

Z = ( 78 - 75 ) / ( 10 / √20)

Z = 1.3416 ≈ 1.342

Now suppose we need to test at ∝ = 0.05 level of significance,

Then Rejection region for the two tailed test is Zc = 1.96

∴ Reject H₀ if Z > Zc

and we know that Z is less than Zc ∴ 1.342 < 1.96

Therefore, Null hypothesis is not Rejected.

There is no sufficient evidence to claim that students turning in their test first score is significantly different from the mean.

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3 years ago
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Answer:

87.965

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surface area of a cylinder,

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given, h = 5, r = 2

so,

2πr²+2πrh

= 2π×2²+2π×2×5

= 8π+20π

= 28π

= 87.9645943..

= 87.965 (rounded to the nearest thousand)

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3 years ago
If <br> f(x) = 7 sec x − 5x, find f '(x).
Lena [83]
F'(x) = 7sec x . tan x - 5.
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4 years ago
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