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STatiana [176]
2 years ago
13

What is the slope of the line between (−4, 4) and (−1, −2)? a. 1 b. 2 c.−2 d. −1

Mathematics
2 answers:
Vikki [24]2 years ago
7 0
M= \frac{ Y_{2}- Y_{1} }{X_{2}-X_{1}}

m= (-2 - 4) / (-1 - -4)
m= -6 / (-1 + 4)
<span>m= -6 / 3
</span>m= -2

the slope is -2 (C.)
dlinn [17]2 years ago
4 0

Answer: C. -2

Step-by-step explanation:

The slope of a line passing through (a,b) and (c,d) is given by :-

\text{Slope}=\dfrac{d-b}{c-a}

The given points : (-4, 4) and (-1, -2)

Then, the  slope of the line passing through(-4, 4) and (-1, -2) is given by :-

\text{Slope}=\dfrac{-2-4}{-1-(-4)}=\dfrac{-6}{-1+4}\\\\=\dfrac{-6}{3}=-2

Hence, the slope of a line with endpoints (-4, 4) and (-1, -2) =-2.

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My name is Ann [436]

Answer:

25.4

Step-by-step explanation:

1/3 ( 2.55+.75) +3* 8.1

Using pemdas, parentheses first

1/3 ( 3.3) +3* 8.1

Then multiply

1.1 + 24.3

Then add

25.4

7 0
2 years ago
A hog producer is feeding soybean meal and corn to his pigs. He needs to know how many pounds he needs to feed of each in order
Mazyrski [523]

Answer:

Feed 1, Soybean meal required =  \dfrac{2000}{3} \text{ lbs.}

Feed 2, Corn meal required = \dfrac{4000}{3} \text{ lbs.}

Step-by-step explanation:

Total feed is <em>1 ton</em> i.e. <em>2000 lbs</em>.

Let <em>x</em> be the amount of Feed 1 required.

Feed 1 has 45\% of protein.

\text{Protein in Feed 1 = }x \times \dfrac{45}{100} ..... (1)

Then, amount of Feed 2 required = (2000 - x) \text{ lbs.}

Feed 2 has 15\% of protein.

\text{Protein in Feed 2 = }(2000 - x) \times \dfrac{15}{100} ..... (2)

As per question, total protein required is 25\% of 2000 lbs .

Adding (1) and (2) and putting it equal to total protein required.

\Rightarrow x \times \dfrac{45}{100} + (2000 - x) \times \dfrac{15}{100} = 2000 \times \dfrac{25}{100}\\\Rightarrow 45x + 30000 - 15x = 50000\\\Rightarrow 30x = 20000\\\Rightarrow x = \dfrac{2000}{3}

Feed 1 required = \dfrac{2000}{3}\text{ lbs .}

Feed 2 required = 2000 - \dfrac{2000}{3}\\

\Rightarrow \dfrac{4000}{3}\text{ lbs.}

7 0
3 years ago
Which property of multiplication is shown? (9 + 4)×8=9×8+4×8​
dybincka [34]
Yes I can do that if I can go get my mom is your name or what I can get it
7 0
3 years ago
Solve in systems by substitution y=x+2 and 3x+3y=6
Vesnalui [34]

Answer:

x = 0, y = 2

Step-by-step explanation:

Substitute the first equation into the second equation so 3x + 3(x+2) = 6. Simplify this to get x = 0. Plug x = 0 back into the first equation to get y = 2.

5 0
2 years ago
Read 2 more answers
Since 1936, the Gallup Organization has been asking Americans: "Are you in favor of the death penalty for a person convicted of
USPshnik [31]

Answer:

98% confidence interval for the proportion of all American females who support the death penalty for convicted murders is [0.59 , 0.64].

Step-by-step explanation:

We are given that the results of the most recent survey; in a sample of 3100 females, 62% said that they were in favor of the death penalty for convicted murders.

Firstly, the pivotal quantity for 98% confidence interval for the population proportion is given by;

                                 P.Q. =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion of females who were in favor of the death penalty for convicted murders = 62%

n = sample of females = 3100

p = population proportion of all American females who support the death penalty

<em>Here for constructing 98% confidence interval we have used One-sample z proportion statistics.</em>

<u>So, 98% confidence interval for the population proportion, p is ;</u>

P(-2.33 < N(0,1) < 2.33) = 0.98  {As the critical value of z at 1% level

                                                   of significance are -2.33 & 2.33}  

P(-2.33 < \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } < 2.33) = 0.98

P( -2.33 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } < {\hat p-p} < 2.33 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } ) = 0.98

P( \hat p-2.33 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } < p < \hat p+2.33 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } ) = 0.98

<u>98% confidence interval for p</u> = [ \hat p-2.33 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } , \hat p+2.33 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } ]

= [ 0.62-2.33 \times {\sqrt{\frac{0.62(1-0.62)}{3100} } } , 0.62+2.33 \times {\sqrt{\frac{0.62(1-0.62)}{3100} } } ]

 = [0.59 , 0.64]

Therefore, 98% confidence interval for the proportion of all American females who support the death penalty for convicted murders is [0.59 , 0.64].

4 0
2 years ago
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