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3 years ago

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In 17 weeks, Bruce earns $5,644 doing yard work. He earns the same amount each week. Let b stand for the amount earned each we

ek. How much does Bruce earn in 1 week
HElp pls

1 answer:

Marrrta [24]3 years ago

4 0

5,644 / 17 = b
b = 332

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Water boils at 100LaTeX: ^\circ∘ Celsius or 212LaTeX: ^\circ∘ Fahrenheit. Water freezes at 0LaTeX: ^\circ∘ Celsius or 32LaTeX: ^

Lubov Fominskaja [6]

Answer:

$F = 1.8C +32$

$F = 86^{\circ}F$

Step-by-step explanation:

Represent Celsius with C and Fahrenheit with F.

So, we have:

$(C_1,F_1) = (100,212)$

$(C_2,F_2) = (0,32)$

Solving (a): Represent as a linear equation

First, we calculate the slope:

$m = \frac{F_2 - F_1}{C_2 - C_1}$

This gives:

$m = \frac{32 - 212}{0 - 100}$

$m = \frac{-180}{- 100}$

$m = 1.8$

The linear equation is then calculated using:

$F - F_1 = m(C -C_1)$

Where

$(C_1,F_1) = (100,212)$

$m = 1.8$

$F - 212 = 1.8(C -100)$

$F - 212 = 1.8C -180$

Make F the subject

$F = 1.8C -180+212$

$F = 1.8C +32$

Solving (b): The value of F when C = 30

Substitute 30 for C in $F = 1.8C +32$

$F = 1.8 * 30 + 32$

$F = 54 + 32$

$F = 86$

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3 years ago

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Quick.!! Il pick the brainliest.!! Tha value of x is.?

aleksklad [387]

If you add up all the angles in a triangle it will always be 180.
180 - 45x is angle TRS
Therefore 180 - 45x + 25x + 57 + x = 180
Subtract 180 from both sides
-45x + 25x + 57 + x = 0
Subtract 57 frok both sides
-45x + 25x + x = -57
Combine like terms
-19x = -57
divide both sides by -19 and you get
x = 3

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What topic is this?

mash [69]

Answer:

That my fellow sir is mathematics.

Step-by-step explanation:

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3 years ago

What goes into 20/16

Troyanec [42]

That equals 1 4/16 or 1 1/4.

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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:

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

<em>Null hypothesis is rejected </em>

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

Step-by-step explanation:

<u>Step(i):</u>-

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

<u><em>Step(ii):-</em></u>

<em>Null hypothesis :H₀: σ²₁ =σ²₂</em>

<em>Alternative Hypothesis:H₁: σ²₁ > σ²₂</em>

<em>Test statistic </em>

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

<em> </em>

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

t = - 7.72

|t| = |- 7.72| = 7.72

Degrees of freedom

<em> ν = n₁ + n₂ -2 = 9 +8 -2 = 15</em>

<em>t₀.₀₅ = 2.1314</em>

<u><em>Final answer</em></u><em>:-</em>

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

<em>Null hypothesis is rejected </em>

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

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3 years ago