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3 years ago

Match each term with its notation.

Mathematics

1 answer:

Ugo [173]3 years ago

7 0

Answer:

_<u>k_</u> The number of treatment conditions

<u>_n_</u> The number of scores in each treatment.

<u>_N_ </u>The total number of scores in the entire study.

<u>_T</u>_ The sum of the scores for each treatment condition.

<u>_G</u>_ The sum of all of the scores in the research study.

<u>_F</u>_ The F-ratio

Step-by-step explanation:

These notations are ANOVA (Analysis of variance) notations, where

k is the number of treatment conditions

n is the number of scores in the treatment

N is the total number of scores in the entire study

T is the sum of scores for a specific treatment

G is the sum of all scores in the study

and F is the F-ratio.

Now, for the question, we will match each term with its notation

_<u>k_</u> The number of treatment conditions

<u>_n_</u> The number of scores in each treatment.

<u>_N_ </u>The total number of scores in the entire study.

<u>_T</u>_ The sum of the scores for each treatment condition.

<u>_G</u>_ The sum of all of the scores in the research study.

<u>_F</u>_ The F-ratio

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Given that a function, g, has a domain of -1 ≤ x ≤ 4 and a range of 0 ≤ g(x) ≤ 18 and that g(-1) = 2 and g(2) = 8, select the st

Juli2301 [7.4K]

Answer:

Option 4 is correct.

Step-by-step explanation:

Consider a function g, it has a domain of -1 ≤ x ≤ 4 and a range of 0 ≤ g(x) ≤ 18. It is given that g(-1) = 2 and g(2) = 8.

The statement g(5) = 12 is not true because the value of x is 5 which is not in its domain.

The statement g(1) = -2 is not true because the value of function g(x) is -2 which is not in its range.

The statement g(2) = 4 is not true because g is a function and each function has unique output for each input value.

If g(2)=8 and g(2)=4, then the value of g(x) is 8 and 4 at x=2. It means g(x) is not a function, which is contradiction of given statement.

The statement g(3) = 18 is true because the value of x is 3 which is in the domain and the value of function g(x) is 18 which is in its range.

Therefore, the correct option is 4.

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3 years ago

Read 2 more answers

X-intercept=2; containing the point (-5,4), using either the general form or the slope-intercept form of the equation of a line.

Rus_ich [418]

The line contains point (2, 0) and (-5, 4).
y - 0 = (4 - 0)/(-5 - 2) (x - 2)
y = -4/7 (x - 2)
7y = -4(x - 2)
7y = -4x + 8
4x + 7y = 8

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4 years ago

200 σ j=1 2j( j 3) describe the steps to evaluate the summation. what is the sum?

ziro4ka [17]

The sum of the equation is = 5494000.

<h3>What does summation mean in math?</h3>

The outcome of adding numbers or quantities mathematically is a summation, often known as a sum. A summation always has an even number of terms in it. There may be just two terms, or there may be 100, 1000, or even a million. Some summations include an infinite number of terms.

<h3>Briefing:</h3>

Distribute 2j to (j+3).

Rewrite the summation as the sum of two individual summations.

Evaluate each summation using properties or formulas from the lesson.

The lower index is 1, so any properties can be used.

The sum is 5,494,000.

<h3>Calculation according to the statement:</h3>

$\sum_{j=1}^{200} 2 j(j+3)$

simplifying them we get:

$\sum_{j=1}^{200} 2 j^{2}+6 j$

Split the summation into smaller summations that fit the summation rules.

$\sum_{j=1}^{200} 2 j^{2}+6 j=2 \sum_{j=1}^{200} j^{2}+6 \sum_{j=1}^{200} j$

$\text { Evaluate } 2 \sum_{j=1}^{200} j^{2}$

The formula for the summation of a polynomial with degree 2

is:

$\sum_{k=1}^{n} k^{2}=\frac{n(n+1)(2 n+1)}{6}$

Substitute the values into the formula and make sure to multiply by the front term.

$(2)$$\left(\frac{200(200+1)(2 \cdot 200+1)}{6}\right)$$$

we get: 5373400

Evaluating same as above : $6 \sum_{j=1}^{200} j$

we get: 120600

Add the results of the summations.

5373400 + 120600

= 5494000

The sum of the equation is = 5494000.

To know more about summations visit:

brainly.com/question/16679150

#SPJ4

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2 years ago

Aubrey's dinner cost $85. She tips the waitstaff 30%, for excellent service.

Olin [163]

30% is equal to 0.3 (found by dividing the percentage by 100). Then we multiply the cost of dinner, $85, by 0.3 to find an answer of $25.50.

Answer: $25.50

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3 years ago

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Lana71 [14]

Answer:

∠ B = 85°

Step-by-step explanation:

Complementary angles sum to 90° , then

x - 23 + 2x + 29 = 90 , that is

3x + 6 = 90 ( subtract 6 from both sides )

3x = 84 ( divide both sides by 3 )

x = 28

Then

∠ B = 2x + 29 = 2(28) + 29 = 56 + 29 = 85°

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3 years ago