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3 years ago

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Use the elimination method to solve the system of equations. Choose the correct ordered pair. 4x + 8y = 16 4x - 8y = 0 A. (4, 2)

B. (2, 4) C. (2, 1) D. (4, 0)

1 answer:

balu736 [363]3 years ago

7 0

Adding both equations cancels y:

<span>4x + 8y = 16
</span><span>4x - 8y = 0
-----------------+
8x = 16 => x=2

filling in x=2 in the first equation gives:

4*2 + 8y = 16 => 8y = 8 => y=1

So (2,1) is the (x,y) pair that solves the two equations. Answer C.</span>

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A manufacturer knows that their items have a normally distributed lifespan, with a mean of 15 years, and standard deviation of 3

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Answer:

The probability that their mean life will be longer than 13 years = .9943 or 99.43%

Step-by-step explanation:

Given -

Mean $(\nu )$ = 15 years

Standard deviation $(\sigma )$ = 3.7 years

Sample size ( n ) =22

Let $\overline{X}$ be the mean life of manufacturing items

the probability that their mean life will be longer than 13 years =

$P(\overline{X}> 13)$ = $P(\frac{\overline{X} - \nu }{\frac{\sigma }{\sqrt{n}}}> \frac{13 - 15 }{\frac{3.7}{\sqrt{22}}})$ $(Z =\frac{\overline{X} - \nu }{\frac{\sigma }{\sqrt{n}}})$

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3 years ago

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4 years ago

Fatima earned an 85 average in her science class. The average is based on 6 tests that she takes over the span of the marking pe

LenaWriter [7]

Answer:

Fifth Score = 87

Sixth Score = 95

Step-by-step explanation:

Given

$Average = 85$

$Scores = 83, 78, 87, 80$

$Fifth\ score = x$

$Sixth\ Score = 8 + x$

Required

Set up an equation

Solve for the fifth and sixth score

Average is calculated as thus:

$Average = \frac{\sum x}{n}$

$Average = \frac{83 +78 + 87 + 80 + x + 8 + x}{6}$

Substitute 85 for Average

$85 = \frac{83 +78 + 87 + 80 + x + 8 + x}{6}$

$85 = \frac{83 +78 + 87 + 80 + 8+ x + x}{6}$

$85 = \frac{336+ 2x}{6}$

Multiply both sides by 6

$85 * 6 = 336 + 2x$

$510= 336 + 2x$

Solve for 2x

$2x = 510 - 336$

$2x = 174$

Solve for x

$x = 174/2$

$x = 87$

Hence:

<em></em> $Fifth\ Score = 87$ <em></em>

<em></em> $Sixth\ Score = 87 + 8$ <em></em>

<em></em> $Sixth\ Score = 95$ <em></em>

3 0

3 years ago

HELP ME OMG!!!!!!

AURORKA [14]

66.5
Thats your answer

6 0

4 years ago

Read 2 more answers

enyata [817]

9514 1404 393

Answer:

451.6 km

Step-by-step explanation:

You can write the proportion ...

distance in km/distance in miles = 1/0.62 = x/280

Multiplying by 280 gives x:

x = 280/0.62 ≈ 451.61

The distance between Lowell and Shelby is 451.6 km.

5 0

3 years ago