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3 years ago

Which shows two expressions that are equivalent to (-8)(-12)(2)

Mathematics

2 answers:

Nataliya [291]3 years ago

7 0

(-8)(-12)(2) = -8 • -12 • 2

192 //It's positive because - - = +.

Answer: 192

//Hope it helps.

bogdanovich [222]3 years ago

3 0

Answer with explanation:

Here the meaning of equivalent expression is that, the value of the expressions after applying operations ,that is original expression and equivalent expression is Identical.

We have to find that expression which is equivalent to:

(-8)×(-12)×(2)

Integers follows Associative Property, that is for any three Integers

→→ a × (b×c)=(a×b)×c=(a×c)×b

So, equivalent expression of →→ (-8)×(-12)×(2)

1.→ [(-8)× (-12)]× (2)

2.→[(-8)×(2)]×(-12)

3.→[(2)×(-12)]×(-8)

4.→ 192

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Answer:

the slope is -2

Step-by-step explanation:

(1,0) (0,2)

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2 years ago

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Answer:

a) 2.09167

b) 0.2

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d) 5.38 hours per day

e) 69%

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

Mean = 2.98hrs/day, Standard Deviation = 2.4

a) What is the Z score for a person who watches more than 8 hrs/day.

z = 8 - 2.98/2.4

= 2.09167

b) What proportion of people watch 5 hrs/day or more television?

z = 5 - 2.98/2.4

z = 0.84167

Determining the Probabilityvalue from Z-Table:

P(x<5) = 0.80001

The proportion of people watch 5 hrs/day or more television

P(x>5) = 1 - P(x<5) = 0.19999

Approximately = 0.2

c) How many does this correspond to in the sample?

From the question above, we are told that: there are 650 GSS respondents in 2006 watched television

Hence the proportion that corresponds to Question b is

0.2 × 650

= 130 correspondents

Therefore, 130 correspondents watch 5 hrs a day or more television

d) What number of television hours per day corresponds to a Z = +1.

z score formula is given as:

z = (x-μ)/σ

Z = +1

x = unknown

Mean = 2.98

Standard deviation = 2.4

Hence:

1 = x - 2.98/2.4

Cross Multiply

1 × 2.4 = x - 2.98

2.4 = x - 2.98

2.4 + 2.98 + x

= 5.38 hours per day.

e)What is the percentage of people who watch between 1 and 6 hours of television per day?

For x = 1

z = 1 - 2.98/2.4

z = -0.825

Probability value from Z-Table:

P(x= 1) = 0.20469

For x = 6

z = 6 - 2.98/2.4

z = 1.25833

Probability value from Z-Table:

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The percentage of people who watch between 1 and 6 hours of television per day is calculated as:

P(x = 6) - P(x = 1)

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Converting to percentage,

0.69117 × 100%

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To the nearest whole number = 69%

Therefore, 69% of the people who watch between 1 and 6 hours of television per day

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3 years ago

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Answer:

The calculated |t| = |-26.517|=26.517 > 2.326 at 0.01 level of significance

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Step-by-step explanation:

Step(i):-

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Mean of the sample x⁻ = 1000

Standard deviation of the sample = 225

Null Hypothesis:-

There is no difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012.

Alternative Hypothesis :-

There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012

Step(ii):-

Test statistic

$t = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }$

$t = \frac{1000-1900 }{\frac{225}{\sqrt{45} } }$

t = -900 /33.54 = -26.517

|t| = |-26.517|=26.517

Degrees of freedom

γ = n-1 = 45-1 =44

t₍₀.₀₁ , ₄₄₎ = 2.326

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