I need the simplified expression for this please ​

Answer:

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Answer:

68.27%.

Step-by-step explanation:

Here we have [tex]\mu=500,\sigma=100[/tex]

Let X shows the SAT score. z-score for X=400 is

[tex]z=\frac{X-\mu}{\sigma}=\frac{400-500}{100}= -1[/tex]

z-score for X=600 is

[tex]z=\frac{X-\mu}{\sigma}=\frac{600-500}{100}=1[/tex]

So the proportion of SAT scores falls between 400 and 600 is

[tex]P(400<X<600)=P(-1<z<1)=0.6827[/tex]

hence, required percentage is 68.27%.

one can use the same method to find the% for all other cases as

well.

Answer:

(2, 4)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

y = 2x

x = -y + 6

Step 2: Solve for y

Substitution

Step 3: Solve for x

I got it wrong so oof

Step-by-step explanation:

Area of Square picture = 20.25 in²

Side lengths of Square picture

= √(20.25 in²) = 4.5 in.

Therefore the dimensions of the picture

is 4.5in by 4.5in.

Step-by-step explanation:

An open circle means that it isn't equal to the number so the sign would either be < or >

The number that the circle is on is -1 so x is either < or > to -1

x is anything to the left to -1 so the inequality would be x< -1

I hope this helps!!!

Answer:

A. y- 3 = -12(x - 5)

Step-by-step explanation:

Answer:

-12y + 20

Step-by-step explanation:

First, you simplify each term:

apply the distributive property:

4 - 5y - 2 (3.5y) - 2 x -8

Multiply 3.5 by -2:

4 - 5y - 2 (3.5y) - 2 x -8

Multiply -2 by -8:

4 - 5y - 7y +16

Next, we simplify by adding terms:

Add 4 + 16:

-5y - 7y + 20

Subtract 7y from 5y:

-12y + 20

Hence the simplified form is -12y + 20

Answer:

-4·(3y-5)

Step-by-step explanation:

Answer:

2.6 tuna

Step-by-step explanation:

Amount of tuna salad rob has = 7.8ounces

Amount of sanndwiches made = 3sandwiches

If she had equal amount of tuna on each sandwiches

Amount of tuna in each = Total amount of tuna/Amount of sandwiches

Amount of tuna in each = 7.8/3

Amount of tuna in each  = 2.6 tuna

Hence she put 2.6 tuna in each sandwiches

Answer:  24 Pumpkin cupcakes.

Step-by-step explanation:

We know that:

They recently sold 6 Pumpkin cupcakes and 8 other cupcakes.

Then we can model this with the ratio  6:8

This means that for each 6 Pumpkin cupcakes sold, they also sell 8 of another type of cupcakes.

With this information, if they sell 56

Answer:

80%

Step-by-step explanation:

Since this is an 80% chance we can say that on these days with same conditions, the probability of extreme high winds is 80% of the time in Miami.

Answer:

0.12$ , I'm probably wrong lolol

Answer:

21 quarters and 11 dimes = 32 coins

Step-by-step explanation:

x + y = 32

0.25x + 0.10y = 6.35 [take the first equation and make it equal to x]

x = 32 - y [now take this equation and plug it in the above]

0.25 (32-y) + 0.10y = 6.35

8 - 0.25y + 0.10y = 6.35

8 - 0.15y = 6.35  [subtract 8 from both sides]

-0.15y = -1.65 [divide by -0.15 to isolate y]

y = 11 so there are 11 dimes

plug it into the first equation: x + 11 = 32; x = 21 so there are 21 quarters

Answer:

60

Step-by-step explanation:

Assuming that all 54 shelves hold the same number of books its just a matter of dividing them (or sharing them equally) on each shelf.

3240 / 54 = 60

Each shelf holds 60 books.

Answer:

lol fr

Step-by-step explanation:

Answer:

Big pp

Step-by-step explanation:

Answer:

An equation in point-slope form for the line will be:

[tex]y - (-3) = 8 (x - (-4))[/tex]

Please check the attached line graph also.

Step-by-step explanation:

Given

The point (-4, -3)

The slope m = 8

To determine

Write an equation in point slope form for the line.

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where

In our case,

substituting the values m = 8 and the point (-4, -3)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y - (-3) = 8 (x - (-4))[/tex]

Therefore, an equation in point-slope form for the line will be:

[tex]y - (-3) = 8 (x - (-4))[/tex]

Please check the attached line graph also.

Answer:

There are 43 nickels in the piggy bank.

Step-by-step explanation:

Given that:

Number of coins = 91

Worth of coins = $6.95 = 6.95*100 = 695 cents

Let,

x be the number of nickles

y be the number of dimes

According to given statement;

x+y=91     Eqn 1

5x+10y=695     Eqn 2

Multiplying Eqn 1 by 5

5x+5y = 455    Eqn 3

Subtracting Eqn 3 from Eqn 2

(5x+10y)-(5x+5y)=695-455

5x+10y-5x-5y=240

5y = 240

[tex]\frac{5y}{5}=\frac{240}{5}[/tex]

y = 48

Putting y=48 in Eqn 1

x+48=91

x=91-48

x= 43

Hence,

There are 43 nickels in the piggy bank.

[tex]\boxed{\pink{\sf \leadsto Yes \ there \ is \ a \ solution \ of \ the \ given \ inequality .}}[/tex]

A inequality is given to us and we need to convert it into standard form and see whether if it has a solution . So let's solve the inequality.

The inequality given to us is :-

[tex]\bf\implies |2y + 3 | - 1 \leq 0 \\\\\bf\implies |2y+3|\leq 1 \\\\\bf\implies (|2y+3|)^2 \leq 1^2 \\\\\bf\implies (2y+3)^2 \leq 1 \\\\\bf\implies (2y)^2+3^2+2(2y)(3) \leq 1 \\\\\bf\implies 4y^2+9+12y - 1 \leq 0 \\\\\bf\implies 4y^2+12y+8 \leq 0 \\\\\bf\implies 4( y^2 + 3y + 2 ) \leq 0 \\\\\bf\implies y^2+3y +2 \leq 0 \:\:\bigg\lgroup \purple{\bf Standard \ form \ of \ inequality }\bigg\rgroup \\\\\bf\implies y^2y+2y+y+2 \leq 0 \\\\\bf\implies y(y+2)+1(y+2)\leq 0 \\\\\bf\implies ( y+2)(y+1)\leq 0 \\\\\bf\implies \boxed{\red{\bf y \leq (-2) , (-1) }}[/tex]

Let's plot a graph to see its interval . Graph attached in attachment .

Now we can see that the Interval notation of would be ,

[tex]\boxed{\boxed{\orange \tt \purple{\leadsto}y \in [-2,-1] }}[/tex]

Answer:

P=32cm

Step-by-step explanation:

Answer: 32

Step-by-step explanation: 9+9 =18

                                             7+7= 14

                                               14+18=32

Answer:

r1 =6

r2 =8

t = ?

[(1/r1) * t] + [(1/r2)*t] = 1

t/6 + t/8 = 1

multiply by common denominator... 24

24 (t/6 + t/8 = 1)

4t + 3t =24

7t = 24

t = 24/7 = 3.4hrs

Answer:

18.87 km/hr

Step-by-step explanation:

First boat is heading North with a speed of 10 km/hr.

Second boat is heading West with a speed of 16 km/hr.

Time for which they move = 2.5 hours

To find:

The speed at which the distance is increasing between the two boats.

Solution:

Let the situation be represented by the attached diagram.

Their initial position is represented by point O from where they move towards point A and point B respectively.

[tex]Distance = Speed \times Time[/tex]

[tex]Distance\ OA = 10 \times 2.5 = 25\ km[/tex]

[tex]Distance\ OB = 16 \times 2.5 = 40\ km[/tex]

We can use Pythagorean Theorem to find the distance AB.

AB is the hypotenuse of the right angled [tex]\triangle AOB[/tex].

According to Pythagorean theorem:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow AB^{2} = OA^{2} + OB^{2}\\\Rightarrow AB^2 = 25^2 + 40^2\\\Rightarrow AB^2 = 2225^2\\\Rightarrow AB^2 \approx 47.17\ km[/tex]

The speed at which distance is increasing between the two boats is given as:

[tex]\dfrac{47.17}{2.5} \approx 18.87\ km/hr[/tex]