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3 years ago

Evaluate the expression for r = –1 and s = 31. 39|r| + s =

Mathematics

1 answer:

solmaris [256]3 years ago

3 0

Answer:

Explanation:

39 |r| + s

Insert -1 For r
Insert 31 for s

39 |-1| + 31

39 |-1| = 39

39 + 31 = 70

- PNW

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It has been suggested that night shift-workers show more variability in their output levels than day workers (σ2N > σ2D). Bel

Murljashka [212]

Answer:

Calculated |t |= 7.72 > 2.1314 at 0.05 level of significance

Null hypothesis is rejected

The night shift-workers show more variability in their output levels are greater than day workers

Step-by-step explanation:

Step(i):-

Given first sample size n₁ = 9

Given mean of the first sample x₁⁻ = 520

Given sample variance of the first sample'S²₁' = = 38

Standard deviation of the first sample 'S₁' = √38 =6.16

Given second sample size n₂ = 8

Given mean of the second sample x₂⁻ = 540

Given sample variance of the second sample ( 'S²₂' = 20

Standard deviation of the second sample 'S₂' = √20 = 4.4712

Step(ii):-

Null hypothesis :H₀: σ²₁ =σ²₂

Alternative Hypothesis:H₁: σ²₁ > σ²₂

Test statistic

$t = \frac{x^{-} _{1} - x^{-} _{2} }{\sqrt{\frac{S^2_{1} }{n_{1} }+\frac{S^2_{2} }{n_{2} } } }$

$t = \frac{520 - 540 }{\sqrt{\frac{38 }{9 }+\frac{20 }{8 } } }$

t = - 7.72

|t| = |- 7.72| = 7.72

Degrees of freedom

ν = n₁ + n₂ -2 = 9 +8 -2 = 15

t₀.₀₅ = 2.1314

Final answer:-

Calculated |t |= 7.72 > 2.1314 at 0.05 level of significance

Null hypothesis is rejected

The night shift-workers show more variability in their output levels are greater than day workers

4 0

3 years ago

Franky puts £1000 in a bank account for six years with 2.5% rate of interest how much will be in the account at the end of that

yanalaym [24]

Answer:

£1159.69

Step-by-step explanation:

Assuming that the rate of interest is compound interest, you perform the equation:

New amount = Original amount × InterestRate^Number of Years

New amount = 1000 × 1.025⁶

New amount = 1159.693418

= £1159.69 (to the nearest penny)

8 0

3 years ago

What is an equation of the line that passes through the points of (0,-4) and (-4,6)

dusya [7]

Answer:

y = -5/2x - 4

Step-by-step explanation:

(0,-4) and (-4,6)

Slope:

m=(y2-y1)/(x2-x1)

m=(6+4)/(-4-0)

m=10/-4

m= -5/2

Slope-intercept:

y - y1 = m(x - x1)

y + 4 = -5/2(x - 0)

y + 4 = -5/2x

y = -5/2x - 4

8 0

3 years ago

A 0.34 kg ball is attached to the end of a cord of length 1.1 m. The ball is whirled in a circular path in a horizontal plane. T

Aleks04 [339]

Answer:

12.86 m/s

Step-by-step explanation:

Centripetal acceleartion formula:

$F=m.(\frac{v^{2} }{r})\\$

$v=\sqrt{(\frac{F.r}{m}) }\\$

$v = \sqrt{\frac{51.1 N * 1.1 m}{0.34 kg} } \\$

$v = 12.86 \frac{m}{s\\}\\$

4 0

3 years ago

Kari has a box with brand new pencils that are all the same size. She has 1 yellow pencil, 5 blue pencils, and 5 red pencils. Sh

Lana71 [14]

Answer: 9

Step-by-step explanation:

1+5+5-2

4 0

3 years ago