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4 years ago

Which of the following is equivalent to 8 × 8/6?

Mathematics

1 answer:

Slav-nsk [51]4 years ago

3 0

Answer:

A. $8\times \frac{8}{6}$

Step-by-step explanation:

We want to find an expression that is equivalent to $\frac{8\times 8}{6}$

This expression can be rewritten as:

$\frac{8}{1}\times \frac{8}{6}$

This expression is also the same as:

$8\times \frac{8}{6}$

Form the given option, the only correct expression is

A. $8\times \frac{8}{6}$

Option B is not correct because:

$\frac{8\times 8}{8\times 6}=\frac{8}{6}$

C is also not equivalent because:

$\frac{8+8}{8+6}=\frac{16}{14}$

D is not equivalent because:

$8+\frac{8}{6}=8\frac{8}{6}$

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You start with $.50 at the beginning of the year. This amount doubles every month. How much will you have at the end of the 12th

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3 years ago

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One stats class consists of 52 women and 28 men. Assume the average exam score on Exam 1 was 74 (σ = 10.43; assume the whole cla

Svetllana [295]

Answer:

(A) What is the z- score of the sample mean?

The z- score of the sample mean is 0.0959

(B) Is this sample significantly different from the population?

No; at 0.05 alpha level (95% confidence) and (n-1 =79) degrees of freedom, the sample mean is NOT significantly different from the population mean.

Step -by- step explanation:

(A) To find the z- score of the sample mean,

X = 75 which is the raw score

¶ = 74 which is the population mean

S. D. = 10.43 which is the population standard deviation of/from the mean

Z = [X-¶] ÷ S. D.

Z = [75-74] ÷ 10.43 = 0.0959

Hence, the sample raw score of 75 is only 0.0959 standard deviations from the population mean. [This is close to the population mean value].

(B) To test for whether this sample is significantly different from the population, use the One Sample T- test. This parametric test compares the sample mean to the given population mean.

The estimated standard error of the mean is s/√n

S. E. = 16/√80 = 16/8.94 = 1.789

The Absolute (Calculated) t value is now: [75-74] ÷ 1.789 = 1 ÷ 1.789 = 0.559

Setting up the hypotheses,

Null hypothesis: Sample is not significantly different from population

Alternative hypothesis: Sample is significantly different from population

Having gotten T- cal, T- tab is found thus:

The Critical (Table) t value is found using

- a specific alpha or confidence level

- (n - 1) degrees of freedom; where n is the total number of observations or items in the population

- the standard t- distribution table

Alpha level = 0.05

1 - (0.05 ÷ 2) = 0.975

Checking the column of 0.975 on the t table and tracing it down to the row with 79 degrees of freedom;

The critical t value is 1.990

Since T- cal < T- tab (0.559 < 1.990), refute the alternative hypothesis and accept the null hypothesis.

Hence, with 95% confidence, it is derived that the sample is not significantly different from the population.

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4 years ago

X = [ ? ]<br><br> BRAINLEST to whoever is right!!

Nataly_w [17]

Answer:

x=125

Step-by-step explanation:

all angles of a triangle add up to 180 degrees.

30+25=55

180-55=125

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3 years ago

A decimal in between 0.25 and 0.125

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2 years ago

How many dots would be in the 7th picture ?

neonofarm [45]

Answer: 28 dots

Step-by-step explanation: In this pattern,

we can see the the first figure is just 1 dot.

The second figure has a new row on the bottom with 2 dots.

The third figure has a new row on the bottom with 3 dots

and the fourth figure has a new row on the bottom with 4 dots.

So continuing with this pattern,

the next figure will have a new row with 5 dots,

the next will have a new row with 6 dots,

and the next will have a new row with 7 dots.

So in the 7th picture, we will have 7 + 6 + 5 + 4 + 3 + 2 + 1 dots.

This simplifies to 28 dots.

Take a look below.

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3 years ago