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3 years ago

What is the equation of the line, in general form, that passes through the point (1, 1) and has a y-intercept of 2.

Mathematics

2 answers:

Nuetrik [128]3 years ago

8 0

the answer seems to be x+y-2=0

iragen [17]3 years ago

7 0

To solve this problem we need to know the form of the general equation of the line. That is, y= mx+b where m is the slope and b is the intercept. We are already given the y-intercept (2) our next step is to fin the slope. Substitute the point give (1,1) in the equation y= mx+2 and then solve for m. The slope is then -6. The final equation is y = -x+2 or <span>x + y - 2 = 0</span>

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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

Solve the equation.<br><br> 3(n+4)=12(6n+4)

Crank

Answer:

n = -12/23

Step-by-step explanation:

8 0

2 years ago

calvin paints pictures and sells them at art shows.he charges $56.25 for a large paiting.he charges $25.80 for a small pating.la

Orlov [11]

Calvin made a total of $414.90

8 0

3 years ago

The equation of liner is y = -x - 6. Line s includes the point (-1, -3) and is parallel to line

Reptile [31]

Answer:

90 hardcover books

Step-by-step explanation:

We can solve this by setting up a couple of equations.

Let's allow x to represent the number of paperbacks Tim owns, and allow y to represent the number of hardcover books he owns.

Using the information in the question, we can write the equations:

1)x = 4y-3

2) x+y=447

Let's rearrange equation 1 so that it is in standard form:

x-4y=-3

And then let's multiply equation 2 by 4 so that we can cancel out y when we solve the system of equations:

4(x+y=447)

4x+4y=1,788

Then we can add the two equations and solve for x:

1) x-4y=-3

+ 2)4x+4y=1,788

------------------------------------

5x=1,785

x=357

So now we now the number of paperback books Tim has is 357. Let's plug this into one of the original equations to solve for the number of hardcover books (y):

357+y=447

y=90

And now we know that Tim owns 90 hardcover books.

4 0

2 years ago

Veseljchak [2.6K]

Answer:

15000

Step-by-step explanation:

7 0

3 years ago