Cos(5π/3)=

A. -√2/2
B. √3/2
C. √2/2
D. 1/2

Answer:

The appropriate answer is "0.437".

Step-by-step explanation:

Given:

P(rain) = 0.14

then,

P(no-rain) = 1-P(rain)

                 = 1-0.14

                 = 0.86

P(delay) = 0.16

P(rain and on time) = 0.79

then,

By using the conditional probability, we get

⇒ [tex]P(A|B)=\frac{P(A \cap B)}{P(B)}[/tex]

or,

⇒ [tex]P(no \ rain|delay) = \frac{P(no \ rain \cap delay)}{P(delay)}[/tex]

By substituting the values, we get

⇒                             [tex]=\frac{0.07}{0.16}[/tex]

⇒                             [tex]=0.437[/tex]  

There are many shapes of a star. It depends on the shape of the star. If you’re referring to this star, then the number of triangles is 5.

Hope this answers your question!

Answer:

The answer is "6, 58, 6 and 58"

Step-by-step explanation:

Using formula:

[tex]Cell\ value = \frac{(row \ total) \times (column \ total)}{total}[/tex]

                 [tex]Gluten-free \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Not\ gluten \ free \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Row \ total[/tex]

[tex]Positive\ \ \ \ \ \ \ \ \ \ \ \frac{12\times 64}{128}=6 \ \ \ \ \ \ \ \ \ \ \ \ \frac{116\times 64}{128}=58 \ \ \ \ \ \ \ \ \ \ \ 64 \\\\Negative\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{12\times 64}{128}=6 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{116\times 64}{128}=58\ \ \ \ \ \ \ \ \ \ \ 64 \\\\Column\ Total \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 12\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 116\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 128[/tex]

Answer:

y>1

Step-by-step explanation:

Answer:

(B) Second Graph

Step-by-step explanation:

Edge 2021

Answer:

C on edge 2022

Step-by-step explanation:

y = 2^x–2 + 3

Answer:

1.6 or 1.67

Step-by-step explanation:

Answer:

Area of the rectangle + area of trapezium

(6×20)m² + 1/2×(8+20)× 5m²

120+ 70m²

190 m²

OPTION D

Answer:

c

Step-by-step explanation:

0 is at 3 so its +3

the difference between y's is -2 and between x's is 1 so -2/1 is -2 as you slope

Answer:

5x+4y = 24

Step-by-step explanation:

We know the y intercept = 6

We can find the slope

(0,6) and (4,1)

m = ( y2-y1)/(x2-x1) = ( 1-6)/(4-0) = -5/4

The slope intercept form is y = mx+b where m is the slope and b is the y intercept

y = -5/4x+6

Multiply each side by 4

4y = -5x+24

Add 5x to each side

5x+4y = 24

The standard form of a line is

Ax +By = C  where A,B C are integers and A > 0

Answer:

yes. In highschool the passing grade is

80-89 (B) thats pretty much good.

70-79 (C) average

65-69 (D) passing

BELOW 65 (F) FAILING

Although A - is the highest grade you can receive on an assignment, and it's between 90% and 100% ... D - this is still a passing grade, and it's between 59% and 69% F - that pretty much a failing grade.

Answer:

1/8

Step-by-step explanation:

FREEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answer:

c

Step-by-step explanation:

.

sure Yan pre

jhhhhhhhh

x = 109

Step-by-step explanation:

1. All of a triangles angles will add up to 180 degrees

2. Take 180 then subtract 48 from 180

3. Your new number is now 132. Take 132 then subtract 23.

4. Answer is 109

Answer:

x=109°

Step-by-step explanation:

In a triangle, all the angles have to add up to 180° and so add and then subtract to find x

48+23=71

180-71=109

so, x=109°

Answer:

4h55m57.69ssss

Step-by-step explanation:

2,25×114÷52

Answer:

6

Step-by-step explanation:

Graphically, this is a very easy question to cheat through.  I'll show the easiest way to solve.

First, add the four squares that make up the square in the center of the quadrilateral.  Now, notice that the two triangles left on the ends are exactly the same size.  So if you put them together, the cover up two more squares.  Which gives you 2 + 4 =6.

Or the mathematical way which is to find the area of the square as 2 * 2 = 4

and the area of one triangle as 1/2 * 2 * 1 = 1 ad the other triangle is the same.  So add all three 4 + 1 + 1 = 6

Answer:

0.2051

Step-by-step explanation:

The probability of follppping a coin 10 tones and getting a tail 6 times can be solved in different ways :

One way is to use the binomial probability relation :

Where :

P(x = x) = nCx * p^x * q^(n-x)

Number of trials, n = 10

p = 1/2 (probability of obtaining a tail per flip)

q = 1- 1/2 = 1/2

x = 6

P(x = 6) = 10C6 * 0.5^6 * 0.5^4

P(x = 6) = 0.205078125

P(x = 6) = 0.2051

Answer:

Three-week moving average forecast

[tex]\begin{array}{ccc}{Week} & {Time\ Series\ Value} & {Forecast} & {1} & {18} & { } & 2 & {13} & { } & {3} & {16} & { } & {4} & {11} & {15.67 } & 5 & {17} & {13.33 } & {6} & {14} & {14.67 } \ \end{array}[/tex]

[tex]MSE = 11.90[/tex]

Step-by-step explanation:

Given

[tex]\begin{array}{ccccccc}{Month} & {1} & {2} & {3} & {4} & {5}& {6} & {Value} & {18} & {13} & {16} & {11} & {17} & {14} \ \end{array}[/tex]

Solving (a): Three-week moving average forecast

This is calculated as:

[tex]F_{t+1} = \frac{\sum recent\ k\ data}{k}[/tex]

Since it is three-week, we start from t = 3

For t = 3; we consider months 1, 2 and 3

[tex]F_{3+1} = \frac{18 + 13 + 16}{3}[/tex]

[tex]F_{4} = \frac{47}{3}=15.67[/tex]

For t = 4; we consider months 2, 3 and 4

[tex]F_{4+1} = \frac{13 + 16+11}{3}[/tex]

[tex]F_{5} = \frac{40}{3}=13.33[/tex]

For t = 5; we consider months 3, 4 and 5

[tex]F_{5+1} = \frac{16+11+17}{3}[/tex]

[tex]F_{6} = \frac{44}{3}=14.67[/tex]

So, the forecast are:

[tex]F_{4} =15.67[/tex]

[tex]F_{5} = 13.33[/tex]

[tex]F_{6} = 14.67[/tex]

[tex]\begin{array}{ccc}{Week} & {Time\ Series\ Value} & {Forecast} & {1} & {18} & { } & 2 & {13} & { } & {3} & {16} & { } & {4} & {11} & {15.67 } & 5 & {17} & {13.33 } & {6} & {14} & {14.67 } \ \end{array}[/tex]

Solving (b): MSE

To do this, we simply calculate the square of the forecast error

The forecast error (E) is:

[tex]E = Time\ Series\ Value - Forecast[/tex]

So, we have:

Forecast error                                                     The square

[tex]E_4 = 11 - 15.67 = -4.67[/tex]                                       [tex]E_4^2 =21.81[/tex]

[tex]E_5 = 17 - 13.33 = 3.67[/tex]                                          [tex]E_5^2 = 13.45[/tex]

[tex]E_6 = 14 - 14.67 = -0.67[/tex]                                       [tex]E_6^2 = 0.45[/tex]

[tex]MSE = \frac{E_4^2 + E_5^2 + E_6^2}{3}[/tex]

[tex]MSE = \frac{21.81 + 13.45 + 0.45}{3}[/tex]

[tex]MSE = \frac{35.71}{3}[/tex]

[tex]MSE = 11.90[/tex]

Answer:

Adding, Substracting, multiplication and division. If you add the same number to both sides of an equation, both sides will remain equal.

Step-by-step explanation:

Answer:

y =1/3x+20

Step-by-step explanation:

He starts 20 minutes late so we need to add 20 minutes to the time

He travels 3 times faster so he takes 1/3 of the normal time x

y =1/3x+20

Answer:

A) y = 1/3x + 20

Answer:

112+31=143

180-143=37

DF-->DE-->EF

Step-by-step explanation:

Answer:

[tex]22\frac{1}{6}[/tex]

Step-by-step explanation:

2+4=6

21X6=126

126+7=133

133/6= 22R1

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

Explanation:

We want to avoid having a negative number under the square root. Solving [tex]x-4 \ge 0[/tex] leads to [tex]x \ge 4[/tex]

So it appears the domain could involve x = 4 itself; however, if we tried that x value, then we'd get a division by zero error.

So in reality, the domain is x > 4.

-------------

The range of y = sqrt(x) is the set of positive real numbers. So y > 0 is the range for this equation. Shifting left and right does not affect the range, so the range of y = sqrt(x-4) is also y > 0.

We are dividing a positive number (3) over some positive number in the denominator. Overall, the expression [tex]\frac{3}{\sqrt{x-4}}[/tex] is positive because positive/positive = positive.

Therefore, the range of the given equation is y > 0

-------------

The graph is shown below. We have a vertical asymptote at x = 4 and a horizontal asymptote at y = 0. The green curve is fenced in the upper right corner (northeast corner).

Answer:

x = 8

Step-by-step explanation:

Since the lines are parallel:

the given angles are alternate exterior angles and alternate exterior angles has same measures

8x = 64 divide both sides by 8

x = 8

Answer:

N

Step-by-step explanation:

the first 3 is the x value, or the horizontal line value, and the second 3 is the y value, or the vertical line value.

Answer:

[tex]y=\frac{3}{4} x-\frac{9}{2}[/tex]

Step-by-step explanation:

Y=mx+c

Y=-3, X=2, m=3/4

(2)(3/4)=6/4=3/2

-3-3/2=-9/2

SO,

c=-9/2

Answer:

x = 44.3°

Step-by-step explanation:

Redrawing the triangle,

To obtain x, we can apply the trigonometric relation :

Sin x = opposite / hypotenus

Opposite side = 6.5

Hypotenus = 9.3

Sin x = 6.5/9.3

x = sin^-1(6.5 / 9.3)

x = 44.34

x = 44.3°

Answer:

7.85 in³

Step-by-step explanation:

π · r² · h

3.14  · 0.5² · 10

7.85 in³