3(x − 5) is equivalent to 3x − 15. False True

Answer:

265

Step-by-step explanation:

since take the 100 on the left if u put 2 lying down it wont fit, about half of that would fit. So it would be about 265

Mark as brainliest plz

Answer:

A)  P(Z > 5000) = 0.0322

B)  P( Y = 2 or 3) ≅  0.9032

Step-by-step explanation:

From the given information;

Suppose the sales for the first week are denoted by X and the sales for the second week are denoted by Y.

Then;

X & Y are independent and they follow a normal distribution.

i.e.

[tex]XY \sim N(\mu,\sigma^2)[/tex]

[tex]XY \sim N(2200,230^2)[/tex]

If we set Z to be equal to X+Y

Then, [tex]Z \sim N(2 \times 2200,2 \times 230^2)[/tex] since two normal distribution appears normal

[tex]Z \sim N(4400,105800)[/tex]

So;

[tex]P(Z > 5000) = 1 - P( Z< \dfrac{x = \mu}{\sqrt{\sigma}})[/tex]

[tex]P(Z > 5000) = 1 - P( Z< \dfrac{5000-4400}{\sqrt{105800}})[/tex]

[tex]P(Z > 5000) = 1 - P( Z< \dfrac{600}{325.2691})[/tex]

[tex]P(Z > 5000) = 1 - P( Z< 1.844626495)[/tex]

[tex]P(Z > 5000) = 1 - P( Z< 1.85)[/tex]

From the Z - tables;

P(Z > 5000) = 1 - 0.9678

P(Z > 5000) = 0.0322

B)

Let Y be the random variable that obeys the Binomial distribution.

Y represents the numbers of weeks in the next 3 weeks where the gross weekly sales exceed $2000

Thus;

[tex]Y \sim Bin(3,p)[/tex]

where;

[tex]p = 1 - P( Z < \dfrac{2000-2200}{230})[/tex]

[tex]p = 1 - P( Z < \dfrac{-200}{230})[/tex]

p = 1 - P( Z < - 0.869565)

From the Z - tables;

p = 1 - 0.1924

p = 0.8076

Now;

P(Y ≥ 2) = P(Y = 2) + P( Y =3 )

Using the formula

[tex]P(X = r ) = ^nC_r \times p^r \times q ^{n-r}[/tex]

[tex]P( Y = 2 \ or \ 3) =^ 3C_2 \times 0.8076^2 \times ( 1- 0.8076) ^ {3-2} + ^ 3C_3 \times 0.8076^3 \times ( 1- 0.8076) ^ {3-3}[/tex]

[tex]P( Y = 2 \ or \ 3) =\dfrac{3!}{2!(3-2)!} \times 0.8076^2 \times ( 0.1924) ^ 1 + \dfrac{3!}{3!(3-3)!}\times 0.8076^3 \times ( 0.1924) ^ {0}[/tex]

[tex]P( Y = 2 \ or \ 3) =0.3764600911 +0.526731063[/tex]

P( Y = 2 or 3) = 0.9031911541

P( Y = 2 or 3) ≅  0.9032

Answer:

A point travels East 3 spaces and South 8 spaces.

Algebraic equation

[tex]P'(x,y) = (x+3, y-8)[/tex]

Step-by-step explanation:

From the viewpoint of Linear Algebra, the description can be described by means of translation, which is defined as:

[tex]P'(x,y) =P(x,y) +T(x,y)[/tex] (1)

Where:

[tex]P(x,y)[/tex] - Initial position of the traveller, dimensionless.

[tex]T(x,y)[/tex] - Translation vector, dimensionless.

[tex]P'(x,y)[/tex] - Final position of the traveller, dimensionless.

Let suppose that [tex]y > 0[/tex] represents the number of steps to the north, and [tex]x> 0[/tex], the number of steps to the east.

If we know that [tex]P(x,y) =(x,y)[/tex] and [tex]T(x,y) = (3, -8)[/tex], then the resulting equation is:

[tex]P'(x,y) = (x,y) +(3,-8)[/tex]

[tex]P'(x,y) = (x+3, y-8)[/tex]

The annual interest rate on a loan of $ 25,500 if the interest payments are $ 956.25 will be equal to 3.75 %.

We are given that the principal loan amount is equal to $ 25,500

That is

Principal = p = $ 25,500.

The interest payments is $ 956.25

That is the amount of interest = SI = $ 956.25.

Let the rate of interest on the loan amount be r.

Time period = t = 1

Simple Interest = p r t / 100

956.25 = 25,500 × r × 1 / 100

956.25 = 255 r

r = 956.25 / 255

r = 3.75 %

Therefore, the annual interest rate on a loan of $ 25,500 if the interest payments are $ 956.25 will be equal to 3.75 %.

Learn more about simple interest here:

https://brainly.com/question/20690803

#SPJ9

Step-by-step explanation:

Marie had 160

Josh has 150

Trey has 600

9514 1404 393

Answer:

  the difference of 2 or 3 rectangles

Step-by-step explanation:

In every case, the "shaded" area can be computed by finding the area of a "bounding" rectangle, and subtracting the areas of the rectangular cutouts that give the figure its shape.

(a) The cutout is the white space at upper right. (Insufficient dimensions are given.)

(b) The cutout is the white space at lower left. The bounding rectangle is 8×7, and the cutout is 4×3.

(c) The cutout is the rectangle in the middle. The bounding rectangle is 13×7, and the cutout is 4×1.

(d) The cutouts are the rectangles on either side. They could be considered as a single unit. The bounding rectangle is 20×25; the cutouts have a total width of 16 and a height of 20, so total 16×20.

(e) Similar to (d), the cutouts are the white spaces on either side. The bounding rectangle is 14×12. The cutouts total 12 in width and 3 in height, so total 12×3.

__

You will note in (d) and (e) that the dimensions of the cutouts have something in common with the dimensions of the bounding rectangle. This means the problem can be simplified a little bit by factoring out that common factor. In (e), for example, 14×12 -(12×3) = 12(14 -3) = 12×11

Answer:

f(x) + g(x) = 7x² - 4x + 2

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 5x² - 3x - 1

g(x) = 2x² - x + 3

Step 2: Find f(x) + g(x)

The slides are different from each other so the chance of getting one of them is 1/18.

The chance of getting it again is 1/18 × 1/18 = 1/324

So, P(a number both times) = 1/324

Answer:

9/18 or 1/2

Step-by-step explanation:

you have 9 numbers and 9 letters. you know that you have 18 on the bottom because or 9+9=18. this just means that the probability that you will get a number twice is 1/2 because the two are independant.

Answer:

Half of three fourths is 3/4 divided by 2.

As 2 is 2/1 3/4 divided by 2 is equivalent to 3/4 * 1/2.

This will give you the answer 3/8.

Half of three fourths is 3/8.

Step-by-step explanation:

Answer: 14/15.

Step-by-step explanation:0.9333333333 but in decimal form its 14/15

Answer:

the answer is 2 or c good luck

Answer:

C. 2

Step-by-step explanation:

basket of apples cost $6

Step-by-step explanation:

8/4 bread= $2

8-2=6

$6= 1 bag of orange

19-13=6$

Answer:

D

Step-by-step explanation:

The term "rise over run" is frequently used when talking about slope. It means the vertical distance over the horizontal distance, so the answer is D, rise.

Answer:

the time percentage is 17%

Step-by-step explanation:

The computation of the time percenatge in the case when the detector lie and done with the mistake is as follows:

L denotes the event  in which a person is lying.

NL denotes the event in which a person is not lying.

C denotes the event in which that lie detector works correctly

NC denotes the event in which  lie detector is not working correctly

Now

P(C|L) =0.8

And,

P(NC|L) is

=1 - .8

= 0.2

P(C|NL) =0.9

P(NC|NL) is

= 1 -.9

=.1

P(L) = 0.7

P(NL) is

= 1 - .7

= .3

Now

P(NC) =P(NC|L) × P(L) + P(NC|NL) × P(NL)

=. 2 × .7 + .1 ×.3

=. 14+.03

= 0.17

Hence, the time percentage is 17%

Answer:

true

Step-by-step explanation:

Answer:

liam's answer is correct

Step-by-step explanation:

Answer:

Yes it is Liam

Step-by-step explanation:

Good job other guy! :)

Answer:

x = 2.5

Step-by-step explanation:

y varies directly with x means the times that y increases, the times x increases and vice versa.

If y increases from 3/5 to 12 is being increased:

12 / 3/5 = 20 times

Thus, the value of x is being increased by definition, also 20 times. The value of x is:

x = 0.125 * 20 = 2.5

Answer:

the answer is 18 thanks to ask help

Answer:

III. Functions f and g are inverse functions.

Step-by-step explanation:

Answer:

None of statements are true

Step-by-step explanation:

Answer:

Standard form:

−x − 7 = 0

Factorization:

−(x + 7) = 0

Solutions:

x = −7

Step-by-step explanation:

hope it helps

Answer:

45°

Step-by-step explanation:

The base angle are the same measure and since one angle is already 90° the remaining two are 45°. They have to equal up to 180. 90 + 45 + 45 = 180.

Hope this helps ya!!

Answer:

a = 0 and b = literally any number

Step-by-step explanation:

because anything to the power of 0 = 1,

so e.g. 2^0 = 1 or 8^0 = 1

this is just a rule in powers that you just have to know

and for part b anything × 0 = 0, so it can be anything

hope this helps :)

Answer:

m<FAB = 75°

m<BAC = 105°

Step-by-step explanation:

First, find the value of x.

(13x - 3)° = (3x + 2)° + 55° (exterior angle theorem of a ∆)

Solve for x

13x - 3 = 3x + 2 + 55

13x - 3 = 3x + 57

Collect like terms

13x - 3x = 57 + 3

10x = 60

Divide both sides by 10

x = 6

✔️m<FAB = 13x - 3

Plug in the value of x

m<FAB = 13(6) - 3 = 78 - 3

m<FAB = 75°

✔️m<BAC = 180 - m<FAB (angles on a straight line/supplementary angles)

m<BAC = 180 - 75 (substitution)

m<BAC = 105°

Answer:

[tex]\boxed {\boxed {\sf 9 \ arrangements }}[/tex]

Step-by-step explanation:

Let's set up a proportion using the following setup:

[tex]\frac{arrangements}{minutes} =\frac{arrangements}{minutes}[/tex]

We know that the florist can arrange 4 in 92 minutes.

[tex]\frac{4 \ arrangements}{92 \ minutes} = \frac{arrangements}{minutes}[/tex]

We don't know how many the florist can arrange in 207 minutes, so we say x arrangements can be completed in 207 minutes.

[tex]\frac{4 \ arrangements}{92 \ minutes} = \frac{ x \ arrangements}{ 207 \ minutes}[/tex]

[tex]\frac{4}{92} =\frac{x}{207}[/tex]

Solve for x by isolating it on one side of the proportion.

x is being divided by 207. The inverse of division is multiplication. Multiply both sides of the proportion by 207.

[tex]207*\frac{4}{92}=\frac{x}{207}*207[/tex]

[tex]207*\frac{4}{92}=x[/tex]

[tex]207*0.0434782609=x[/tex]

[tex]9=x[/tex]

The florist can arrange 9 arrangements in 207 minutes.