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3 years ago

3y- 12x = 18 2y-8x= 12

Mathematics

2 answers:

timofeeve [1]3 years ago

8 0

the answers would be -4 for the first and for the second it would be 15

arlik [135]3 years ago

7 0

Answer:

x=0

y=6

Step-by-step explanation:

3y- 12x = 18

2y-8x= 12

rearrange the equation

2y-8x=12

add 8x to both sides

2y=8x+12

divide both sides by 2

y=4x+6

now substitute it into 3y-12x=18

3(4x+6)-12x=18

simplify

12x+18-12x=18

simplify

18=18

x=0

substitute to find y

2y-8(0)=12

2y=12

y=6

Recheck:

3(6)-12(0)=18

18=18

2(6)-8(0)=12

12=12

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6.6 x 10^7 : 1

7 0

3 years ago

genetic experiment with peas resulted in one sample of offspring that consisted of green peas and yellow peas. a. Construct a %

Andreas93 [3]

Complete Question

A genetic experiment with peas resulted in one sample of offspring that consisted of 432 green peas and 164 yellow peas. a. Construct a 95% confidence interval to estimate of the percentage of yellow peas. b. It was expected that 25% of the offspring peas would be yellow. Given that the percentage of offspring yellow peas is not 25%, do the results contradict expectations?

Answer:

The 95% confidence interval is $0.2392 < p < 0.3108$

No, the confidence interval includes 0.25, so the true percentage could easily equal 25%

Step-by-step explanation:

From the question we are told that

The total sample size is $n = 432 + 164 =596$

The number of offspring that is yellow peas is $y = 432$

The number of offspring that is green peas is $g = 164$

The sample proportion for offspring that are yellow peas is mathematically evaluated as

$\r p = \frac{ 164 }{596}$

$\r p = 0.275$

Given the the confidence level is 95% then the level of significance is mathematically represented as

$\alpha = (100 - 95)\%$

$\alpha = 5\% = 0.0 5$

The critical value of $\frac{\alpha }{2}$ from the normal distribution table is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically evaluated as

$E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\r p (1- \r p )}{n} }$

=> $E = 1.96 * \sqrt{\frac{0.275 (1- 0.275 )}{596} }$

=> $E = 0.0358$

The 95% confidence interval is mathematically represented as

$\r p - E < p < \r p + E$

=> $0.275 - 0.0358 < p < 0.275 + 0.0358$

=> $0.2392 < p < 0.3108$

6 0

3 years ago

A box contains two purple marbles nine orange marbles and seven yellow marbles if you pick two without looking what is the proba

maw [93]

Answer:

1/4

Step-by-step explanation:

First, add up the marbles:

2 + 9 + 7 = 18

Multiply by 2 because you pick two:

18 × 2 = 36

Simplify:

9/36 = 3/12 = 1/4

Hope this helped.

8 0

3 years ago

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vodka [1.7K]

Answer:

Step-by-step explanation:

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Therefore the rectangular prism will have a volume of 2 $*$ 4 $*$ 9