Write 4 ⅔ as a decimal.

Answer:

Dimensions of the tabletop is 2.8 cm × 2.8 cm.

Step-by-step explanation:

From the picture attached,

ABCD is a tabletop with leaves AEG, BEF, CFH and GDH.

Dimensions of the tabletop ABCD,

Length = AB

Width = BC

Coordinates of A → (1, 3)

Coordinates of B → (3, 5)

Coordinates of C → (5, 3)

Coordinates of D → (3, 1)

Length of segment = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

AB = [tex]\sqrt{(3-1)^2+(5-3)^2}[/tex]

     = [tex]\sqrt{4+4}[/tex]

     = [tex]2\sqrt{2}[/tex]

     ≈ 2.8 units

BC = [tex]\sqrt{(5-3)^2+(3-5)^2}[/tex]

     = [tex]\sqrt{4+4}[/tex]

     = [tex]2\sqrt{2}[/tex]

     = 2.8 units

Therefore, dimensions of the tabletop is 2.8 cm × 2.8 cm.

The mean of the test that has a normal distribution is 55.

Let's denote the mean of the test by μ, and the standard deviation by σ. We can use the information given to set up a system of two equations:

49 = μ - 3σ  equation (1)

59 = μ + 2σ  equation (2)

To solve for μ, we can eliminate σ by adding equations (1) and equation (2) to get:

49 + 59 = μ - 3σ + μ + 2σ

Simplifying, we get:

108 = 2μ - σ

We can also solve for σ by subtracting equation (1) from equation (2) to get:

59 - 49 = μ + 2σ - (μ - 3σ)

Simplifying, we get:

10 = 5σ

Therefore, σ = 2.

Substituting this value of σ into the equation we found earlier, we get:

108 = 2μ - σ

108 = 2μ - 2

Solving for μ, we get:

2μ = 108 + 2

2μ = 110

μ = 110/2

μ = 55

Therefore, the mean of the test is 55.

Learn more about normal distribution here: https://brainly.com/question/29509087

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Answer:

n = 6

Step-by-step explanation:

f(n) = 0 is on the n- axis at (6, 0 )

When f(n) = 0 then n = 6

Answer: 15 percent of 28.50 is 4.275

So 28.50 + 4.275 = 32.775

So $32.77

Answer:

32.78 100% correct did usa test prep

Step-by-step explanation:

Angle B = ADC arc / 2

32 = ADC arc / 2

ADC arc = 2 × 32

ADC arc = 64

_________________________________

ADC arc + ABC arc = 360

64 + ABC arc = 360

ABC arc = 360 - 60 - 4

ABC arc = 300 - 4

ABC arc = 296

_________________________________

Angle D = ABC arc / 2

x = 296 / 2

x = 148

_________________________________

Angle A = x - 40

Angle A = 148 - 40

Angle A = 108 degrees

Answer:

cos B = 8/17

Step-by-step explanation:

The cosine function is defined as (adjacent side) / (hypotenuse), and in this case is 8/17.

let be the real price x :

x - x × ( 25/100 ) = 1350

x - x × ( 1/4 ) = 1350

x - x/4 = 1350

4x - x / 4 = 1350

3x / 4 = 1350

3x = 1350 × 4

3x = 5400

x = 5400 ÷ 3

x = Rs 1800

Answer:

a) 2x + 6y + 7x

9x + 6y

b) 3a + 8b + 5a

8a + 8b

c) 6u + 3v - 2u

4u + 3v

d) 9p + 8q - p

8p + 8q

e) 2m + 5n + 4m + 3n

6m + 5n + 3n

6m + 8n

f) 6u + 9v + u + 3v

12v + 6u + u

12v + 7u

g) 8b + 7c + 3b - 2c

8b + 3b + 5c

11b + 5c

h) a + 2b + a - b

2a + 2b - b

2a + b

i) 5a + 2b - 5a + 6b

8b + 5a - 5a

8a

h) 9p + 3q - 2p - 3q

7p + 3q - 3q

7p

Answer:acute angle less than ninety so around fourth five

Step-by-step explanation:

good job guys ik math is hard sometimes

Answer:

what is question?

Step-by-step explanation:

Answer:

see my explantion!!

Step-by-step explanation:

8000*0.05=400

400*18=7200$

Answer:

not good destroy body mind effect

Answer:

7

Step-by-step explanation:

Answer:

the answer is 2/3

hope this helps

have a good day :)

Step-by-step explanation:

Given:

The compound inequality is:

[tex]-1>n\geq 5[/tex]

To find:

The reason for no solution of the given inequality.

Solution:

We have,

[tex]-1>n\geq 5[/tex]

This inequality can be written as two separate inequalities.

[tex]-1>n[/tex] and [tex]n\geq 5[/tex]

The inequality [tex]-1>n[/tex] represents all real values less than -1.

The inequality [tex]n\geq 5[/tex] represents all real values greater than or equal to 5.

Both inequalities [tex]-1>n[/tex] and [tex]n\geq 5[/tex] have no common values. Therefore, the given inequality has no solution. Hence proved.

[tex]C. \: 8 \sqrt{3} [/tex]✅

Step-by-step explanation:

[tex] \sqrt{192} \\ = \sqrt{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3} \\ = \sqrt{ {2}^{2} \times {2}^{2} \times {2}^{2} \times 3} \\ = \sqrt{ {8}^{2} \times 3 } \\ = 8\sqrt{3}[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

a=8/2

a=4

Step-by-step explanation:

Answer:

[tex]a = 4[/tex]

Step-by-step explanation:

[tex](2a) = 8[/tex]

[tex]a = \frac{8}{2} [/tex]

[tex]a = 4[/tex]

Answer:

805

Step-by-step explanation:

Answer:

D) 146

Step-by-step explanation:

Exterior angle thm:

42 + 104 = x

x = 146

Answer:

I assume AC = 49.89 since the number is cut off

Step-by-step explanation:

tangent(degree) = opposite / adjacent

To find AC, you can set up tan(29) = AC / CB

tan(29) = AC / 90 (the picture is cutted off, so I assume....)

[tex]90*tan(29)[/tex] = AC

Answer:

Its D because the x axis can repeat itself

Step-by-step explanation:

A function is a relation in which the members of the domain (x-values) DO NOT repeat. So, for every x-value there is only one y-value that corresponds to it. y-values can be repeated.

Answer:

D, the last one

Step-by-step explanation:

A function, f(x), cannot have repeating x-values. Option D has the number 5 repeated twice, {1, 5, 5, 7}, in the x-column, therefore it cannot be a function of x.

Answer:

0.2%

Step-by-step explanation:

The given parameters are;

The percentage of product within the correct range = 95%

The percentage of the times the sensor reject boxes of incorrect weight = 98%

The percentage of the times the company reject boxes with correct weight = 1%

[tex]\begin{array}{cccc}&P&N&T\\P&TP&0.9&90\\N&FP&9.8&10\end{array}[/tex]

We have, FN = 0.9, TN = 9.8, TP = 90 - 0.9 = 89.1, FP = 10 - 9.8 = 0.2

FNR = FN/(FN + TP) = 0.9/(0.9 + 89.1) = 0.01

FPR = 0.2/(0.2 + 9.8) = 0.02

TPR = 89.1/(89.1 + 0.9) = 0.99

TNR = 9.8/(9.8 + 0.2) = 0.98

P(C/A) = TPR × P(C)/((TPR × P(C) + FPR×(1 - P(C)))

Where;

P(C/A) = The probability that a correct weight package is accepted

∴ P(C/A) = 0.99*0.9/(0.99*0.9 + 0.02*0.1) ≈ 0.99776

The probability that a correctly weighed package is rejected, P(C/R), is given as follows;

P(C/R) = 1 - P(C/A)

∴ P(C/R) ≈ 1 - 0.99776 = 0.00224 ≈ 0.2%

The probability that a correctly weighed package is rejected, P(C/R) ≈ 0.2%

Answer:0.9%

Step-by-step explanation:

good luck!!!

Answer:

10

Step-by-step explanation:

360=95+95+15+7x+15+7x

360-95-95-15-15=7x+7x

140=14x

140/14=x

10=x

Answer:

C

Step-by-step explanation:

Doug:  400/1042 = .3838 = 38.4%

Ben:  342/1042 = .3282 = 32.8%

Chris:  300/1042 = .2879 = 28.8%

Answer:

Doug 38.4%, Ben 32.8%, Chris 28.8%

Answer:

C. 0.305

Step-by-step explanation:

100 - 39 = 61

.5 x .61 = .305

30.5%