The graph of a line has a slope of 2 and passes through the point (–6, –5). What is the equation of the line in point-slope form?
y – 5 = 2(x – 6)
y + 5 = 2(x + 6)
y – 6 = 2(x – 5)
y + 6 = 2(x + 5)

Answer:

y = -6/5x - 5

Step-by-step explanation:

Use rise over run to find the slope of the line, and the -5 comes from the y-intercept

Answer:

0.09

Step-by-step explanation:

Step-by-step explanation:

we have p=proportion of vegetarian students=0.08

a. FALSE.

for normal approximations we must have np>=5 and n(1-p)>=5

here n=60 so np=60*0.08=4.8 which is less than 5.

hence normal approximation is not applicable.

b. TRUE.

for binomial proportion , the distribution is right skewed if 1-2p>0 or, 0.5>p

here, p=0.08 so 0.5>p is satisfied. hence it is rightly skewed.

c. FALSE.

here, n=125 which is quite large. hence normal approximation is applicable.

let phat be the sample proportion

then phat approximately follows a normal distribution with E[phat]=p=0.08

and variance=V[phat]=p(1-p)/n=0.08(1-0.08)/125=0.0005888

hence standard deviation=sqrt(0.0005888)=0.0242652

hence effective range of phat is [0.08-3*0.0242652,0.08+3*0.0242652]=[0.0072044,0.1527956]

12%=0.12 lies in this effective range.

hence it is not unusual.

In this exercise we have to classify whether the statements are true or false:

a) False

b) True

c) False

d) False

e) False

We have: [tex]p=proportion of vegetarian students=0.08[/tex]

a) FALSE.  

For normal approximations we must have:

[tex]np\geq 5 \\n(1-p)\geq 5[/tex]

Where [tex]n=60[/tex] so [tex]np=60*0.08=4.8[/tex]  which is less than 5. Hence normal approximation is not applicable.

b)TRUE.

For binomial proportion , the distribution is right skewed if :

[tex]1-2p>0 \\ 0.5>p[/tex]

Where, p=0.08 so 0.5>p is satisfied. hence it is rightly skewed.

c) FALSE.

Where, n=125 which is quite large. hence normal approximation is applicable. Let phat be the sample proportion then phat approximately follows a normal distribution with:

[tex]E[phat]=p=0.08[/tex]

and [tex]variance=V[phat]=p(1-p)/n=0.08(1-0.08)/125=0.0005888[/tex]

Hence standard deviation [tex]=sqrt(0.0005888)=0.0242652[/tex]

hence effective range of phat is:

[tex][0.08-3*0.0242652,0.08+3*0.0242652]=[0.0072044,0.1527956][/tex]

12%=0.12 lies in this effective range. Hence it is not unusual.

d) FALSE.

e) FALSE.

See more about proportion at : brainly.com/question/8704765

Answer:

x=6 y=4

Step-by-step explanation:

So, what I did was change positions of 2x to -2x=0-3y -2x=-8-y. Because -2x equal to two equations, I did -3y=-8-y. Once simplified, that equals to y=4. I plugged in to 2x-y(or 4)=8. Once that was simplified, 2x=12 or x=6.

Answer:

  7(1 +3x)

Step-by-step explanation:

The simplest monomial is a constant that is a prime number. That constant is a factor of the coefficient of the only other monomial in the expression, so it can factored from both terms.

  = 7 + 7·3x

  = 7(1 +3x)

Answer:

40

Step-by-step explanation:

If we have to evaluate an expression, we spsolve for whatever variable there is, and simplify. Here, we know x is 17, so we can plug it into the original expression.

17 + 23 = 40

Answer:

similiar and congruent

Step-by-step explanation:

Answer:

triangle

Step-by-step explanation:

only look at the cut off part

Answer:

I believe that the shape is formed to be a circle

Answer:

5  

Step-by-step explanation:

Answer:

+40

Step-by-step explanation:

Answer:

400

Step-by-step explanation:

When completing the square, all you need to do is take half the coefficient of x, and square it.

In this case the coefficient of x is -40, and half of that is -20.  -20 squared is 400, and that is what you need to add to both sides.

Note that when completing the square, you'll always be adding a positive number unless coefficient you're working with is an imaginary or complex number.

Answer:

55

Step-by-step explanation:

Remark

This is a really good question to know the answer to. <PRQ = 1/2 POQ (the central angle. )

The central angle for this question is 110o. So any angle that has its vertex on the circumference is 1/2 110 = 55. The central angle and the angle on the circumference must be related as they are as this question is. (Both are on the same side of PQ which is not drawn but you can draw it).

[tex]\rm\red{\overbrace{\underbrace{\tt\color{orange}{\:\:\:\:\:\:\:\:Answer:\:\:\:\:\:\:\:\:\:}}}}[/tex]

[tex]174[/tex]

[tex]\large\purple{ChaEunWoo2009}[/tex]

#CarryOnLearning

Answer:

Cos 74°= Sin 16°

Sin 20°= Cos 70°

Sin A°=Cos (90°- A°)

Step-by-step explanation:

This is because the three pairs are complementary i.e they add up to 90° and in trigonometric ratios, complementary ratios are equal.

Answer:

seven hundred sixty eight ten thousandths

Step-by-step explanation:

Answer:

Seven hundred sixty-eight ten-thousandths

mark me as brainliest plz

Step-by-step explanation:

area of a triangle is (bh)/2

b=base

h=height

2.1=(2h)/2

2.1=height

Hope that helps :)

Answer:

4.2

Step-by-step explanation:

Multiply 2.1 and 2 to get 4.2

Answer:

= 162

1782 divided by 11 equals

162 with a remainder of 0

Solution:

162

11[tex]\sqrt[n]{x}[/tex]1782

-11  

------

68

66

--------

22

-22

Step-by-step explanation:

Answer:

the correct answer is 904.78 cubic. inches

Answer:

Symmetric point: x = -1; (-1, 5)

Minimum of f: None; approaches -∞.

Maximum of f: y = 5.

Is f(x) a one-to-one: No, it fails the horizontal line test and is not injective.

Increasing from: -∞ to -1; (-∞, -1)

Decreasing from: -1 to ∞. (-1, ∞)

Answer:

Given f(x) = -x^2 - 2x + 4, find each of the following,

Step-by-step explanation:

f(x) = -x²-2x+4

f(2) = (-2)²-2×2+4

f(2) = 4-4+4

f(2) = 4

Answer:

There are many ways you could put this let me demonstrate.

Step-by-step explanation:

If they were to do this for a year (52 weeks) that would be 50x52=2600+1000=3600. Then 75x52=$3900+500=$4400. but if you were to cut that time in half to 6 months it would go something like this. 50x26=1300+1000=2300. Then 75x26=1950+500=2450. It all has to do with the time. I hope this helped.

Answer:

(x-3)²+(y+5)²=16

Step-by-step explanation:

[tex] \large \boxed{ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} }[/tex]

The equation above is an equation of circle with a centre at (h,k) and has radius = r

Substitute h = 3, k = -5 and r = 4 in the equation.

[tex] \large{ {(x - 3)}^{2} + {(y - ( - 5))}^{2} = {4}^{2} } \\ \large{ {(x - 3)}^{2} + {(y + 5)}^{2} = 16}[/tex]

Answer:

Distributive property says that:

(A + B)*C = A*C + B*C

Now let's try to use it in our expression:

3 + 5*c*(2 + 6*c)

Here we can take the two terms inside the parentheses as A and B, and the term that multiplies them as C, then distributing we get:

3 + (5*c)*2 + (5*c)*(6*c)

Now remember that the multiplications are associative and commutative, then we can write this as:

3 + (2*5)*c + (5*6)*(c*c)

3 + 10*c + 30*c^2

And we can't simplify it anymore.

Answer:

The correct answer is D, 11 cm.

Step-by-step explanation:

Given that the third side of a triangle measures (3x-5) cm, if the length of the midline is 14 m, to determine the length of the third side and the correct option, the following calculations must be performed:

X (third side) = midline x 2

X = 14 x 2

X = 28

3X - 5 = 28

3X = 28 + 5

3X = 33

X = 33/3

X = 11

Therefore, the correct option is D: 11 cm.

Answer:

his fees that he will pay in april on his checking account is 34.02$  

Step-by-step explanation:

9514 1404 393

Answer:

  b. iii, v, and vi

Step-by-step explanation:

We assume your equations are intended to be P=(something) where the something has a final factor of ( )^t.

The final factor is called the "growth factor". Subtracting 1 from it gives the "growth rate". When that value is negative, the population is declining.

Equations (iii), (v), and (vi) have growth rates that are negative, so those represent towns decreasing in size.

Answer:

1st

Step-by-step explanation:

Answer:

x < -1/4

Step-by-step explanation:

7x + 2 < 3x + 1

4x + 2 < 1

4x < -1

x < -1/4