Question 1 (1 point)
(03.01 LC)
Which expression is equivalent to 2m - 4) + 1? (1 point)
a
2m - 7
b
2m - 3
ос
2m +9
2m + 10

Answer: D 3sqrt2

Step-by-step explanation:

6x3=18

Sqrt of 18 = 3sqrt2

Answer:

400

Step-by-step explanation:

Answer: He retrieved 75$ from his account then he put back 170$ so +75 and -170 so in total the answer would be 245$

Answer:  He would have $100 in his bank account from the information provided .

Answer:

Yes, the probability distribution for the number of years of experience can be modelled by a binomial probability distribution

Step-by-step explanation:

We are told that on a recent sample, the paper claims that 45% of all employees believe their company president possesses low ethical standards.

This means the chance of success is p = 45% = 0.45

Now, 20 of the company's employees are randomly and independently sampled. This means that for any amount of success within this sample number can be represented by;

P(X = x) = C(n, x) × p^(x) × (1 - p)^(n - x)

Where;

x is the number of possible successes

n is the number of trials

p is the chance or probability of success

C(n, x) is the number of possible combinations that could occur

This formula represents the binomial probability distribution formula.

So yes, the probability distribution for the number of years of experience can be modelled by a binomial probability distribution

Answer:

h(2)=6

Step-by-step explanation:

just plug in 2 where you have an x, and you’d have 2 + 6, which equals 6

Answer: 1,176

Step-by-step explanation:  -3 times -7 is positive 21.

21 times -8 is negative -168

-168 times -8 is positive 1,176

Answer:

0.2143

Step-by-step explanation:

Let A be the event denote that getting into a car accident and B be the event denote being a texter-and-driver.

Thus, P(A)=0.04, P(B)=0.14.

P(A or B)=0.15.

We have to find P(A/B).

P(A/B)=P(A and B)/P(B)

P(A and B)= P(A)+P(B)-P(A or B)

P(A and B)=0.04+0.14-0.15

P(A and B)=0.03.

Thus, P(A/B)=0.03/0.14

P(A/B)=0.2143 (rounded to four decimal places)

Thus, the probability a person was in a car accident given that they are a texter-and-driver is 0.2143. This probability is higher than the probability among the general population because texting while driving is fatal.

Answer:

The cost of a can of popcorn is $10.

The cost of a box of cookies is $5.

The cost of a can of popcorn is $20

Step-by-step explanation:

First you must propose a system of equations, a set of two or more equations with several unknowns in which you want to find the value of each unknown so that all the equations of the system are fulfilled.

Defining the variables:

Amy sold 2 pounds of candy, 3 boxes of cookies and 1 can of popcorn for a total sale of $65. Then:

2*x + 3*y + 1*z=65 Equation 1

Brian sold 4 pounds of candy, 6 boxes of cookies and 3 cans of popcorn for a total sale of $140. So:

4*x + 6*y + 3*z=140 Equation 2

Paulina sold 8 pounds of candy, 8 boxes of cookies and 5 cans of popcorn for a total sales of $250. Then:

8*x + 8*y + 5*z=250 Equation 3

Then the system of equations is formed by these three equations.

A method to solve a system of equations is by means of the substitution method, which consists of isolating one of the two unknowns in an equation to substitute it in the other equation.

Isolating z from Equation 1:

[tex]z=65-2*x-3*y[/tex] Equation 4

Replacing in Equation 2:

4*x + 6*y + 3*(65 -2*x-3*y)=140

4*x + 6*y + 195 - 6*x  - 9*y= 140

-2*x - 3*y=140-195

-2*x - 3*y=-55

2*x + 3*y= 55

and isolating x:

[tex]x=\frac{55-3*y}{2}[/tex] Equation 5

Replacing in Equation 4:

[tex]z=65-2*\frac{55-3*y}{2} -3*y[/tex]

z=65 - (55-3*y) - 3*y

z= 65 -55 + 3*y - 3*y

z= 10

So the cost of a can of popcorn is $10.

Replacing equation 5 and the value of z in equation 3:

8*[tex]\frac{55-3*y}{2}[/tex] + 8*y + 5*10=250

[tex]\frac{8}{2}[/tex]*(55 -3*y)+ 8*y + 5*10=250

4*(55 -3*y)+ 8*y + 5*10=250

4*55 - 4*3*y + 8*y + 50=250

220 - 12*y + 8*y + 50=250

-12*y + 8*y= 250 -220 - 50

-4*y= -20

[tex]y=\frac{-20}{-4}[/tex]

y= 5

So the cost of a box of cookies is $5.

Finally replacing the value of y in Equation 5 you get the value of x:

[tex]x=\frac{55-3*5}{2}[/tex]

[tex]x=\frac{55-15}{2}[/tex]

[tex]x=\frac{40}{2}[/tex]

x=20

Finally, the cost of a can of popcorn is $20

Answer: X=2.9

Step-by-step explanation:

The required x-intercept and y-intercept of the given line in the graph are 1 and -2 respectively.

The intercept of the line is defined as points where the line intersects the principle axes.

Here,
The x-intercept and y-intercept of the line are defined as the points where the given line cuts the coordinate axes.
So, from the above definition, the line intersects the x-axis at +1 and intersects the y-axis at -2.

Thus, the required x-intercept and y-intercept of the given line in the graph are 1 and -2 respectively.

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Answer:

44 km

Step-by-step explanation:

8/5 is the conversion between m and km which is 1.6 and then we can simply multiply 27.5 times 1.6 which is 44 km I hope this helps.

Answer:

I'd say 1/2 a gallon

Step-by-step explanation:

Answer: 5 x 15= 75

Step-by-step explanation:

Answer:

75*1=75

Step-by-step explanation:

Answer:

try 130.4, I got my answer by subtracting 47.6 with 180. How'd I get 180? the angles are obtuse so that means it'll add up to 180. Thus the answer is 130.4

Answer:

The cost to manufacture 63 chairs, and that cost is 2268.

Step-by-step explanation:

Mathematical Models

The cost to manufacture x chairs is given as the math model:

C(x)=36x

For example, to manufacture 10 chairs, we write:

C(10)=36*10=360

According to the explained above, the statement C(63)=2268 means we are calculating the cost to manufacture 63 chairs, and that cost is 2268.

Answer:

la respuesta correcta es laC

han ku po ammo paumahin

Answer:

D) 132.67 (this seems to be the closest to the answer, I hope it helps)

Step-by-step explanation:

First, have the area of circle formula: A = π r²

Then, you need to find the radius to be able to complete the area formula. So, since you have the circumference, you will need to use it to find the radius:

C = 2 π r

40.82 = 2 π r

20.41 = π r

r = 6.496704777 . . . Do not round! Rounding will not give an exact answer!

Now that you have the radius, plug in:

A = π r²

   = π (6.49 . . .)²

   = π  (42.20717296 . . .) Do not round! Rounding will not be exact!

   = 132.5977445 . . .

   ≈ 132.6

Answer:

[tex] \sqrt{2} - \sqrt{2} = 0[/tex]

0 is real number, rational number, integers, whole numbers,

Answer:

Greater

Step-by-step explanation:

since it has a 0.0001 and not just 1 its greater 43.5

Answer:y=4

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

7x7 = 49

49 + 23 = 72

PEMDAS causes the multiplication to come before the addition.

Answer:

yes

Step-by-step explanation:

same slope

Answer:

yes same slope

Step-by-step explanation:

Answer:

No it's not

Step-by-step explanation:

The reason is because 8/1 becomes a whole number unlike the other.

Step-by-step explanation:

b - no:of students on bus

V - " " on van

so the eqtn is

12v+10b=698

14v+2b=244

so when you solve these two eqtns you get

V=9

b=59

Answer:

y=-3x+5

bring (4,-7) in other three lines

you will know that it is unreasonable that

-7=-14

-7=-17

-7=14

The equation for the line perpendicular to the line represented by the equation  [tex]y= \ \frac{1}{3} x-2[/tex]  that passes through the point [tex](4,-7)[/tex] will be  [tex]y=-3x+5[/tex].

Equation for the perpendicular line, the perpendicular lines have opposite-reciprocal slopes.

Now,

The equation of a perpendicular line must have a slope that is the negative reciprocal of the original slope.

Equation of a perpendicular line   [tex]y=mx-b[/tex]

Here, [tex]m=[/tex] slope

So,

We have

     [tex]y= \ \frac{1}{3} x-2[/tex]  

Here,

[tex]m = \frac{1}{3}[/tex]

As mentioned above, we have to find the slope of perpendicular,

i.e.

 (slope of perpendicular)  [tex]m[/tex] [tex]=-3[/tex]      

So,

     [tex]y=mx-2[/tex]

[tex]y=(-3)x-b[/tex]

We have

Point [tex](4,-7)[/tex] through which line passes. i.e.

[tex]x=4[/tex]

[tex]y=(-7)[/tex]

Therefore,

    [tex]-7=(-3)*4-b[/tex]

⇒  [tex]b=7-12[/tex]

    [tex]b=(-5)[/tex]

So, Equation of a perpendicular line,

 [tex]y=-3x+5[/tex]

So, Equation of a perpendicular line,  [tex]y=-3x+5[/tex] which is derived from  [tex]y=mx-b[/tex] .

Hence, we can say that the equation for the line perpendicular to the line represented by the equation  [tex]y= \ \frac{1}{3} x-2[/tex]  that passes through the point [tex](4,-7)[/tex] will be  [tex]y=-3x+5[/tex].

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