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viktelen [127]
3 years ago
9

Identify the slope of the line for the equation y = 10x + 3.

Mathematics
1 answer:
Mrrafil [7]3 years ago
8 0

Answer:

D) 10

Step-by-step explanation:

The slope of the line y=10x+3 is 10 because in the slope form y=mxtb m represents the slope. In this case 10 is m, therefore the slope is 10. This mean the slope rises 10 units and runs 1 unit since slope is also known as rise/run.

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6,780,000 in scientific notation
klio [65]

Answer:

105 = 100,000 x 6.78 = 678,000

Step-by-step explanation:

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2 years ago
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Bengus the expert blacksmith forged 32 swords from copper, twice as many swords from iron, and 19 swords from mythril. Estimate
Anna35 [415]

Answer: 115 swords

Step-by-step explanation:

He forged 32 swords from copper, 2*32 from iron and 19 from mythril.  Thus, he forged 32+(32*2)+19, or 32+64+19, or 115 swords.

<em>Hope it helps <3</em>

8 0
3 years ago
Statistics can help decide the authorship of literary works. Sonnets by a certain Elizabethan poet are known to contain an avera
slega [8]

Complete question is;

Statistics can help decide the authorship of literary works. Sonnets by a certain Elizabethan poet are known to contain an average of 8.88 new words (words not used in the poet's other works). The standard deviation of the number of new words is 3. Now a manuscript with 6 new sonnets has come to light, and scholars are debating whether it is the poet's work. The new sonnets contain an average of 12.4 words not used in the poet's known works. We expect poems by another author to contain more new words, so to see if we have evidence that the new sonnets are not by our poet we test the following hypotheses.

H0 : µ = 8.88 vs Ha : µ > 8.88

Give the z test statistic and its P-value. What do you conclude about the authorship of the new poems? (Let a = .05.)

Use 2 decimal places for the z-score and 4 for the p-value.

a.What is z ?

b.The p-value is greater than ?

c. What is the conclusion? A)The sonnets were written by another poet or b) There is not enough evidence to reject the null.

Answer:

a) z = 2.87

b) P-value ≈ 0.0021

c) The sonnets were written by another poet

Step-by-step explanation:

We are given the hypothesis as;

Null hypothesis; H0 : µ = 8.88

Alternative hypothesis; Ha : µ > 8.88

We are also given;

Sample size; n = 6

Population Standard deviation; σ = 3

Sample mean; x¯ = 12.4

a) formula for z - value is;

z = (x¯ - µ)/(σ/√n)

z = (12.4 - 8.88)/(3/√6)

z = 2.87

b) we are given the significance value as α = 0.05.

From online p-value from z-score calculator attached and using z = 2.87; one tail distribution; α = 0.05, we have;

P-value = 0.002052

Approximating to 4 decimal places;

P-value ≈ 0.0021

c) The p-value is less than the significance level, thus we react the null hypothesis and conclude that the sonnets were written by another poet

5 0
2 years ago
How far did Eddie travel after his break? (The break is the part with only the straight line!)
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The break ended at 4pm when he was at 15 km.

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