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3 years ago

2x+5y=-6 , wht is the x intercept, what is the y intercept

1 answer:

7 0

These are the xx and yy intercepts of the equation 2x−5y=62x-5y=6.x-intercept: (3,0)(3,0)y-intercept: (0,−65)

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How many kilograms are equivalent to 5 pounds

Mashutka [201]

Answer:2.26796

Step-by-step explanation:

6 0

3 years ago

Given the two expressions shown below: A. square root of 64 plus square root of 5 B. square root of 64 plus square root of 4 Whi

ElenaW [278]

$A.\ \sqrt{64}+\sqrt5=8+\sqrt5\ -\ irrational\\\\B.\ \sqrt{64}+\sqrt4=8+2=10\ -\ rational\\\\\text{Answer:}\ d.\ A\ is\ irrational,\ but\ B\ is\ rational.$

6 0

3 years ago

If LN = 6x - 5, LM = x + 7, and MN = 3x + 20, find MN. A.68 B.16 C.23 D.18

borishaifa [10]

Answer : The correct option is (A) 68.

Step-by-step explanation :

As we are given that:

LN = 6x - 5

LM = x + 7

MN = 3x + 20

Now we have to determine the value of MN.

According to the question:

LN = LM + MN

Now putting all the given values in this expression, we get:

6x - 5 = (x + 7) + (3x + 20)

6x - 5 = 4x + 27

6x - 4x = 27 + 5

2x = 32

x = 16

The value of MN = 3x + 20 = 3(16) + 20 = 48 + 20 = 68

Therefore, the value of MN is 68.

7 0

2 years ago

Kiyo used to wire fencing to form a border around a circular region in his backyard. If the radius of the circular region was 5

kakasveta [241]

Answer:

The total length of the border is $31.4\ yd$

Step-by-step explanation:

we know that

The circumference of a circle is equal to

$C=2\pi r$

we have

$r=5\ yd$

assume

$\pi=3.14$

substitute

$C=2(3.14)(5)=31.4\ yd$

6 0

3 years ago

Quit smoking: In a survey of 444 HIV-positive smokers, 202 reported that they had used a nicotine patch to try to quit smoking.

Flauer [41]

Answer:

The p-value of the test is of 0.0287 < 0.05(standard significance level), which means that it can be concluded that less than half of HIV-positive smokers have used a nicotine patch.

Step-by-step explanation:

Test if less than half of HIV-positive smokers have used a nicotine patch:

At the null hypothesis, we test if the proportion is of at least half, that is:

$H_0: p \geq 0.5$

At the alternative hypothesis, we test if the proportion is below 0.5, that is:

$H_1: p < 0.5$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

0.5 is tested at the null hypothesis:

This means that $\mu = 0.5, \sigma = \sqrt{0.5*(1-0.5)} = 0.5$

In a survey of 444 HIV-positive smokers, 202 reported that they had used a nicotine patch to try to quit smoking.

This means that $n = 444, X = \frac{202}{444} = 0.455$

Value of the test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.455 - 0.5}{\frac{0.5}{\sqrt{444}}}$

$z = -1.9$

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion below 0.455, which is the p-value of z = -1.9.

Looking at the z-table, z = -1.9 has a p-value of 0.0287.

The p-value is of 0.0287 < 0.05(standard significance level), which means that it can be concluded that less than half of HIV-positive smokers have used a nicotine patch.

5 0

2 years ago