Find the area of this rectangle

Answer:

ux = 78

s= 0.8485

P ( z>0.33)  = 0.3707

Step-by-step explanation:

According to central limit theorem the mean of the population is equal to the mean of the sample and the standard deviation is found by dividing the standard deviation of the population with the square root of the sample size

Thus

ux = u= 78

σ= 6

s= σ/√n= 6/√50= 6/7.07106= 0.8485

We find the z score

Z= X- u / σ

z= 80-78/6

z= 2/6= 1/3=0.333

P ( z>0.33) = 1 - P(z=0.33)

                  = 1- 0.6293

                     = 0.3707

We see in the figure that the blue area represents the area greater than z= 0.333 or area greater than 1/3.

The probability of z= 0.33 from the table is 0.6293

We find the probability of area greater than 0.33 by subtracting from 1 .

Answer:

4 ft down as per the image attached.

5 ft down as per the question statement.

Step-by-step explanation:

Given that:

A Pallet of concrete blocks is at the back of a truck.

The pallet is lifted by the crane to a height of 8 ft (as per image attached ) or 7 ft (as per question statement) and then the truck moves forward.

Now, the pallet is lowered down to a distance of 12 ft.

To find:

The final position of the pallet relative to the position from the back of the truck?

Solution:

If we closely look at the figure attached, it can be interpreted that the pallet is taken 8 feet above and then 12 feet down.

Therefore, if we subtract 8 feet from 12 feet, we will have our answer.

So, the position of the pallet with respect to its position in the truck is =

12 ft - 8 ft = 4 ft down.

If we consider the question statement:

12 ft - 7 ft = 5 ft down

Answer:

The final position is 5feet below the back of the truck

Step-by-step explanation:

Answer:

8 * 10^6

Step-by-step explanation:

The question is asking us to represent the value 8,406,000 in standard. The standard form of an expression is expressed as;

A * 10^n

A is any integer between 1 and 10

n is any integer.

Given the value 8,406,000

8,406,000.

We are going to move the decimal point at the end to first digit value. This point will be shifted 6 times to have;

8,406,000 = 8.6 * 10^6 (Note that n is positive since the value given is greater than 1)

Since we are to express as a single digit times a power of ten, the required answer will be 8 * 10^6

Answer:

0.0055

Step-by-step explanation:

i answered the same on , mark me brainliest

Answer:

0.0055

Step-by-step explanation:

I dont have a step by step explanation.

Answer:

379.5¢

Step-by-step explanation:

Given that :

Number of oranges = 1,518

Cost per orange = 0.25¢ each

Amount made = (number of oranges * cost per orange)

Amount made = 1518 * 0.25

Amount made = 379.5¢

Answer: The screen is blank

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

2

Answer:

11 buses

Step-by-step explanation:

Divide 42 by 4 to get 10 and a remainder of 2. The 2 students not on the bus need another bus so you need 10+1=11 buses

Answer:

A Rational Number can be made by dividing two integers

The cordinate plane can be used to plot points and graph lines

Answer:

one part = 20.5

the other part = 61.5

Step-by-step explanation:

let one part = x

let another part = y

(1) create two equations

i) 82 is separated into 2 parts, x and y. it means x plus y equals to 82

x+y = 82

ii) one part is bigger than the other. if x is the bigger part, it is 3 times bigger than y

x = 3y

(2) use substitution method to find the value of x and y

x+y = 82 -------- (1)

x = 3y ---------- (2)

substitute (2) into (1)

x+y = 82

3y+y = 82

4y = 82

y = 82/4

y = 20.5

substitute y = 20.5 into (2)

x = 3y

x = 3(20.5)

x = 61.5

Answer:

8x + 1

Step-by-step explanation:

8x + 4 -3

Answer:

8x+1

Step-by-step explanation:

I dunno why my answer has to be at least 20 characters

Answer: The triangles are not similar.

===============================================

Explanation:

Create a 3x3 table. It has 3 rows and 3 columns.

Above the top row, we'll have the side lengths of triangle VUW

Along the left side of the table, we'll have the lengths of triangle LNM

Refer to the diagram below to see what I mean. I used a spreadsheet program to create the table.

Once you have those table headers set up, you'll divide each possible pair of side lengths between the two triangles. For example, VU/LN = 35/20 = 1.75 which is represented as the green cell in the upper left corner (row1,column1). The other 8 green table cells are filled out the same way. This table is a handy way to keep track of all the terms since it's easy to lose track. Again, refer to the diagram below.

After the table is filled out, we need to ask ourselves: "Does a certain value show up 3 times in the green cells?". If so, then we could have similar triangles assuming this value shows up in every row and every column in some fashion.

Unfortunately, we don't have a value show up 3 times in the green cells. The values 1.4 and 1.75 come close by showing up twice, but not three times.

Since we don't have a value show up 3 times, this means that the sides are not proportional to one another. Therefore, the triangles are not similar.

Answer:

1) x=1

2)x=4

Step-by-step explanation:

Solved the equation and checked using calculator

Answer:

Options (2) and (3)

Step-by-step explanation:

Let, [tex]\sqrt{-8+8i\sqrt{3}}=(a+bi)[/tex]

[tex](\sqrt{-8+8i\sqrt{3}})^2=(a+bi)^2[/tex]

-8 + 8i√3 = a² + b²i² + 2abi

-8 + 8i√3 = a² - b² + 2abi

By comparing both the sides of the equation,

a² - b² = -8 -------(1)

2ab = 8√3

ab = 4√3 ----------(2)

a = [tex]\frac{4\sqrt{3}}{b}[/tex]

By substituting the value of a in equation (1),

[tex](\frac{4\sqrt{3}}{b})^2-b^2=-8[/tex]

[tex]\frac{48}{b^2}-b^2=-8[/tex]

48 - b⁴ = -8b²

b⁴ - 8b² - 48 = 0

b⁴ - 12b² + 4b² - 48 = 0

b²(b² - 12) + 4(b² - 12) = 0

(b² + 4)(b² - 12) = 0

b² + 4 = 0 ⇒ b = ±√-4

                     b = ± 2i

b² - 12 = 0 ⇒ b = ±2√3

Since, a = [tex]\frac{4\sqrt{3}}{b}[/tex]

For b = ±2i,

a = [tex]\frac{4\sqrt{3}}{\pm2i}[/tex]

  = [tex]\pm\frac{2i\sqrt{3}}{(-1)}[/tex]

  = [tex]\mp 2i\sqrt{3}[/tex]

But a is real therefore, a ≠ ±2i√3.

For b = ±2√3

a = [tex]\frac{4\sqrt{3}}{\pm 2\sqrt{3}}[/tex]

a = ±2

Therefore, (a + bi) = (2 + 2i√3) and (-2 - 2i√3)

Options (2) and (3) are the correct options.

Answer: b and c

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

"Dividing by a fraction is multiplying by the inverse".

(memorize something like this)

So:

[tex]\frac{2}{\frac25} = 2 \cdot \frac52 = \frac{10}{2} = 5[/tex]

Answer:

third one

bottom left

Step-by-step explanation:

Answer:

6) b(3a^4-5c³)

7) 3x³yz(2x+5y)

8) 4a²b²c³(2bc-3a)

9) 4xy(2y+7z-1)

10) 2mn(5n²+2m-3n)

Step-by-step explanation:

6) Factor out the b and you get b(3a^4-5c³)

7) Factor out the 3x³yz and you get 3x³yz(2x+5y)

8) Factor out the 4a²b³c³ and you get 4a²b²c³(2bc-3a)

9) Factor out the 4xy and you get 4xy(2y+7z-1)

10) Factor out the 2mn and you get 2mn(5n²+2m-3n)

Answer: True

Step-by-step explanation:

The function is even and negative. A negative function opens down. With this information, the statement is true: the function opens down.

Answer:

True

Step-by-step explanation:

Given a parabola in vertex form

f(x) = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

• If a > 0 then the graph opens up

• If a < 0 then the graph opens down

Given

f(x) = - (x + 3)² + 2 ← in vertex form

with a = - 1 < 0 then graph opens down is True

Step-by-step explanation:

y = -5x² + 2x - 3 and y = -3x - 3.

=> -5x² + 2x - 3 = -3x - 3

=> 5x² - 5x = 0

=> 5x(x - 1) = 0

=> x = 0 or x = 1.

When x = 0, y = -3(0) - 3 = -3.

When x = 1, y = -3(1) - 3 = -6.

The solutions are (0,-3) and (1,-6).

Answer:

81.82%

Step-by-step explanation:

cuz meth

Answer:

81.82

Step-by Step

In order to round to the nearest thousand, you simply have to move the decimal point to the RIGHT. Hope it helps!

                     ~Happy holidays

Answer:

Step-by-step explanation:

$220

5 members

220/5

=44

Answer:

40 with a remainder of 6

Step-by-step explanation:

Answer:

The main answer is 40, and the Remainder is 2/3

Step-by-step explanation:

The main answer is 40, and the Remainder is 2/3

Answer:

Step-by-step explanation:

Answer

V = lwh

V = 3*4*12

V = 144

$1.25*144 = 180

he will spend $180

Step-by-step explanation:

Answer:

Step-by-step explanation:

triangles that are the same are congruent

A) no

B) no

C) yes

D) yes

E) no

Answer:

Photo is the answer

Step-by-step explanation:

Answer:

3 miles per hour

Step-by-step explanation:

If he walks 3/2 in half hour then you just have to double it to get how much he  fast he walks in one hour.

3/2 +3/2 = 6/2 = 3

3 miles per hour