What is 23/20 as a mixed number

Answer: 0.0046

Step-by-step explanation:

First, let's calculate the total number of outcomes that you can see from a pair of dice.

Each dice has 6 options, so the total number of combinations is:

6*6 = 36.

Now, the combinations that are equal to 3 are:

3 and 1

1 and 3

2 combinations.

So the probability is equal to the quotient between the number of combinations that are equal to 3, and the total number of combinations:

P = 2/36 = 0.055

Now, the combinations that are equal to 10 are:

5 and 5

4 and 6

6 and 4.

3 combinations.

Then the probability is:

P = 3/36 = 0.0833

Now, the probability of both events happening is equal to the product of the probabilities for each event, so the total probability is equal to:

P = ( 0.0833)*( 0.055) = 0.0046

it is isosceles triangle as you see

so that 62 = other unknown angle

as it is a triangle interior angles sum = 180

124 + x = 180

x = 180 - 124

x = 56

The answer is B. Shooting. Shooting is a sport on dry land, while the other three are aquatic sports, that is, they are on or in the water.

Answer:

C

Step-by-step explanation:

If (x + h) is a factor of f(x) then remainder is zero and x = - h is a root

Since division of 2x² + 2x + 9 by (x + 3) is zero , then

(x + 3) is a factor and x = - 3 is a root of the polynomial → C

You should use a T distribution to find the critical T value based on the level of confidence. The confidence level is often given to you directly. If not, then look for the significance level alpha and compute C = 1-alpha to get the confidence level. For instance, alpha = 0.05 means C = 1-0.05 = 0.95 = 95% confidence

Use either a table or a calculator to find the critical T value. When you find the critical value, assign it to the variable t.

Next, you'll compute the differences of each pair of values. Form a new column to keep everything organized. Sum everything in this new column to get the sum of the differences, which then you'll divide that by the sample size n to get the mean of the differences. Call this dbar (combination of d and xbar)

After that, you'll need the standard deviation of the differences. I recommend using a calculator to quickly find this. A spreadsheet program is also handy as well. Let sd be the standard deviation of the differences

The confidence interval is in the form (L, U)

L = lower bound

L = dbar - t*sd/sqrt(n)

U = upper bound

U = dbar + t*sd/sqrt(n)

Answer:

see below

Step-by-step explanation:

The feasible region is the shaded area. We just need to find the coordinates of its vertices. These are (200, 200), (300, 0), (500,0) and (300, 200).

Answer:

The slope is 1/3 and the y intercept is 6

Step-by-step explanation:

The slope intercept form of a line is

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

3y -x =18

Add x to each side

3y = x+18

Divide each side by 3

3y/3 = x/3 +18/3

y = 1/3x +6

The slope is 1/3 and the y intercept is 6

We need to solve for y (y = mx + b):

3y - x = 18

~Add x to both sides

3y = 18 + x

~Divide 3 to everything

y = 6 + x/3 or y = 6 + 1/3/x

So... 1/3 is the slope and 6 is the y-intercept.

Best of Luck!

Answer:

  £531.52

Step-by-step explanation:

We are given the profit in week 1 and information about week 2. We are asked for the difference between week 2 profit and week 1 profit.

__

In week 2, pizza is sold 4 ways. The diagram shows the numbers of pizzas sold each way. The table shows the profit made for each way the pizza was sold. We need to add up the profits from each of the sales to find the profit for week 2.

Then the total profit in week 2 is ...

  £1514.04 -175.42 +888.94 -5.68 = £2221.88

So, profit in week 2 exceeds profit in week 1 by ...

  £2221.88 -1690.36 = £531.52 . . . more profit in week 2

Answer:

[tex]\boxed{f^{-1}(x)= \frac{\sqrt{8x+9}+3}{4}}[/tex]

Step-by-step explanation:

[tex]f(x)=2x^2-3x[/tex]

[tex]f(x)=y[/tex]

[tex]y=2x^2-3x[/tex]

Switch variables.

[tex]x=2y^2-3y[/tex]

Solve for y.

Multiply both sides by 8.

[tex]8x=16y^2-24y[/tex]

Add 9 on both sides.

[tex]8x+9=16y^2-24y+9[/tex]

Take the square root on both sides.

[tex]\sqrt{8x+9} =\sqrt{16y^2-24y+9}[/tex]

Add 3 on both sides.

[tex]\sqrt{8x+9}+3 =\sqrt{16y^2-24y+9}+3[/tex]

Divide both sides by 4.

[tex]\frac{\sqrt{8x+9}+3}{4}= \frac{\sqrt{16y^2-24y+9}+3}{4}[/tex]

Simplify.

[tex]\frac{\sqrt{8x+9}+3}{4}= \frac{4y-3+3}{4}[/tex]

[tex]\frac{\sqrt{8x+9}+3}{4}= \frac{4y}{4}[/tex]

[tex]\frac{\sqrt{8x+9}+3}{4}=y[/tex]

Inverse y = [tex]f^{-1}(x)[/tex]

[tex]f^{-1}(x)= \frac{\sqrt{8x+9}+3}{4}[/tex]

Answer:

[tex] f^{-1}(x) = \dfrac{3}{4} \pm \dfrac{1}{4}\sqrt{8x + 9} [/tex]

Step-by-step explanation:

[tex] f^{-1}(x) = 2x^2 - 3x [/tex]

Change function notation to y.

[tex] y = 2x^2 - 3x [/tex]

Switch x and y.

[tex] x = 2y^2 - 3y [/tex]

Solve for y.

[tex] 2y^2 - 3y = x [/tex]

Complete the square on the left side. We must divide both sides by 2 to have y^2 as the leading term on the left side.

[tex] y^2 - \dfrac{3}{2}y = \dfrac{x}{2} [/tex]

1/2 of 3/2 is 3/4. Square 3/4 to get 9/16.

Add 9/16 to both sides to complete the square.

[tex] y^2 - \dfrac{3}{2}y + \dfrac{9}{16} = \dfrac{x}{2} + \dfrac{9}{16} [/tex]

Find common denominator on right side.

[tex] (y - \dfrac{3}{4})^2 = \dfrac{8x}{16} + \dfrac{9}{16} [/tex]

If X^2 = k, then [tex] X = \pm \sqrt{k} [/tex]

[tex] y - \dfrac{3}{4} = \pm \sqrt{\dfrac{1}{16}(8x + 9)} [/tex]

Simplify.

[tex] y = \dfrac{3}{4} \pm \dfrac{1}{4}\sqrt{8x + 9} [/tex]

Back to function notation.

[tex] f^{-1}(x) = \dfrac{3}{4} \pm \dfrac{1}{4}\sqrt{8x + 9} [/tex]

Answer:

log 12 = 1.0761

Step-by-step explanation:

log 12

=log(3*2*2)

= log 3 +log 2+ log 2

=0.4771+0.3010+0.3010

=1.0761

Answer:

Log 12 = 1.0791

Step-by-step explanation:

=> log (12)

Prime Factorizing 12

=> log (2×2×3)

Using log rule : [tex]log (a*b) = log a+logb[/tex]

=> Log 2 + log 2 + log 3

Given that log 2 = 0.3010 , log 3 = 0.4771

=> 0.3010 + 0.3010 + 0.4771

=> 1.0791

Answer:

19

Step-by-step explanation:

Inscribed Angle = 1/2 Intercepted Arc

< DBG = 1/2 ( DG)

< DBG = 1/2 ( 360 - BD - BG)

           = 1/2 ( 360 - 172 - 150)

           = 1/2 (38)

           = 19

Answer:

Maximum is 14 inches so maybe 5 inches?

Step-by-step explanation:

Answer:

Cuadrilátero solo significa "cuatro lados" (quad significa cuatro, lateral significa lado). Un cuadrilátero tiene cuatro lados, es bidimensional (una forma plana), cerrado (las líneas se unen) y tiene lados rectos.

Un cuadrilátero es un polígono con cuatro aristas y cuatro vértices.

Step-by-step explanation:

Answer with explanation:

Two or more Algebraic expressions are said to be equivalent, if both the expression produces same numerical value , when variable in the expressions are replaced by any Real number.

The two expressions are

1. 7 x +4

2. 3 x +5 +4 x =1

Adding and subtracting Variables and constants

→7 x +5=1

→7 x +5-1

→7 x +4

→ When x=2,

7 x + 4 =7×2+4

=14 +4

=18

So, Both the expression has same value =18.

→So, by the definition of equivalent expression, when ,you substitute , x by any real number the two expression are equivalent.

Correct options among the given statement about the expressions are:

1.When x = 2, both expressions have a value of 18.

2.The expressions have equivalent values for any value of x.

3.The expressions have equivalent values if x = 8.

Answer:

-5/24 miles

Step-by-step explanation:

The submarine descends at a rate of -5/6 miles every 4 minutes.

To find the depth of the submarine relative to sea level after the first minute, we have to multiply the rate of descent by he time spent (1 minute). That is:

[tex]\frac{\frac{-5}{6} }{4} * 1[/tex]

=> D = -5 / (6 * 4) = -5/24 miles

Therefore, the submarine's depth is -5/24 miles.

Answer:

-1 1/5

Step-by-step explanation:

I took the test and this was the correct answer :D

1st 2nd and last

Step-by-step explanation:

simplify your inequality

6x >= 3 + 4(2x -1)

6x >= 3 + 8x - 4

2x >= 1

x >= 1/2

so indeed the

1st one , the 2nd and the last one

first, second, last

Hope it helps

Answer:

first blank = 10 (for table 1)

second blank = 30 (for table 2)

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

Explanation:

You could use a calculator to determine the value of b, then compute b^x for that first box. But as the instructions state, we don't need to use one. Why is that? Because the tables provide enough information to fill in the blanks.

Table 1 shows x = 2.096 lead to some unknown y value. Meanwhile, table 2 has x = 10 lead to y = 2.096; note the 2.096 shows up again. The exponential and log functions are inverses of each other. They undo each other's operation. This is similar to how division undoes multiplication, and vice versa.

Going in reverse of table 2, we will conclude that 10 must go in the blank for table 1. Therefore, b^x = 10 when x = 2.096

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

Similarly, we will have 30 in the blank for table 2. Table 1 shows x = 3.096 lead to y = 30. Table 2 is the reverse of that as it is the inverse.

Throughout either section, we didn't need to find the value of b.

The missing value in table 1 is 10 and for table 2 it is 30.

The exponent indicates the power to which a base number is raised to produce a given number called a logarithm.

In another word, a logarithm is a different way to denote any number.

In the first table first column

x = 0.369 and bˣ = 1.5 ⇒

By logarithm

logbˣ = log1.5

xlogb = log1.5

Now x = 0.369

logb = 0.1760/0.369

b = 3

Now,

f(x) at x = 2.096 ⇒ [tex]3^{2.096}[/tex] = 10

And

x at g(x) = 3.096

[tex]log_{3}[/tex]x = 3.096 ⇒ x = 30.

Hence "The missing value in table 1 is 10 and for table 2 it is 30".

For more about logarithm,

https://brainly.com/question/20785664

#SPJ2

Answer:

Step-by-step explanation:

m∠UTV = 112°  ⇒  m∠WTV = 180° - 112° = 68°

sin(68°) ≈ 0.9272

sin(∠WTV) = WV/TV

WV/10 ≈ 0.9272

WV ≈ 9.272

WV ≈ 9.3

Answer:

1,475

Step-by-step explanation:

10 + 50

= 60

60 * 25

= 1,500

1,500 - 25

= 1,475

Answer:

Hey there!

25(10+50)-25

25(60)-25

1500-25

1475

Hope this helps :)

Answer:

y=-x-2

Step-by-step explanation:

y-3=-x-5

y=-x-2

Answer:

C

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 4 and (a, b) = (- 3, - 4) , thus

y - (- 4) = 4(x - (- 3)) , that is

y + 4 = 4(x + 3) → C

Answer:

Option A.3

Step-by-step explanation:

If its rise over run the fraction should be right 2 up 6 makeing a fraction of

6/2 which equals 3

The line has a slope of 3

The diagonal of the square is the same as the diameter of the circle.

So, the diameter of the circle is 36.

Circumference formula:

C = 2πr

To find the radius, we just need to divide the diameter by two:

36 / 2 = 18

Now, solve using the given values.

C = 2π(18)

C = 36π

Therefore, the answer is D.

Best of Luck!

Answer:

Players probabilities of winning are 4/7 , 2/7, 1/7 which of course sum to 1.

Step-by-step explanation:

The coin theoretically could give a very large number of tails first so each person's probability is made up of an infinite series.

P(1st person wins) = P(H) + P(TTTH) + P(TTTTTTH) + . . . etc

= 1/2 + (1/2)^4 + (1/2)^7 + (1/2)^10 + . . .

This is a geometric series with first term a = 1/2 and common ratio r = 1/8

Using formula a/(1 - r) this is (1/2)/(7/8) = 4/7

P(2nd person wins) = P(TH) + P(TTTTH) + P(TTTTTTTH)

= (1/2)^2 + (1/2)^5 + (1/2)^8 + . . .

Geometric series with sum (1/4)/(7/8) = 2/7

P(3rd person wins) = P(TTH) + P(TTTTTH) + P(TTTTTTTTH) + . . .

= (1/2)^3 + (1/2)^6 + (1/2)^9 + . . .

Geometric series with sum (1/8)/(7/8) = 1/7

Players probabilities of winning are 4/7 , 2/7, 1/7 which of course sum to 1.

Hope this helped!

Answer:

look below

Step-by-step explanation:

hi

Answer:

The correct option is

This is a polynomial function of degree 7 with a leading coefficient of -1

Step-by-step explanation:

Functions that consist of a variable such as x raised to positive integer powers which are equal to or larger than zero added together to make the function are known as polynomial functions

Therefore, the function in the question which is f(X) = x⁴ × (2 - x³) + 1

Which can be expanded as follows

f(x) = 2·x⁴ - x⁷ + 1, which is the same as given as follow equation;

f(x) = -x⁷ + 2·x⁴ + 1

Which is  polynomial function with a leading coefficient of -1 as it consists of only whole number positive powers of x including the powers of x 4 and 7  

Therefore, the correct option is that f(x) is a polynomial function of degree 7 with a leading coefficient of -1.

Answer:

Perimeter = 20cm ; area = 59.5cm

Step-by-step explanation:

Given the following :

Perimeter of entire figure = 42cm

Diameter of circle (d) = 7cm

Find the perimeter of the circle :

The perimeter (p) of a circle equals :

2πr

Where r = radius of circle

r = diameter /2 = 7/2 = 3.5cm

Therefore,

P = 2 * (22/7) * 3.5

P = 22 cm

Looking at the figure, we only take the semicircle :

Therefore perimeter of each semicircle =

22cm / 2 = 11cm

Therefore, perimeter of the red shaded region =

(42 - 22)cm = 20cm

Area of Circle = πr^2

(22/7) * 3.5^2 = 38.5 cm

Area of each semicircle = 38.5/2 = 19.25cm

Total area of semicircle = (19.25 +19.25) = 38.50cm

To find sides of rectangle :

Perimeter of the rectangle :

width = diameter of circle = 7cm

2(l + w) = 42

2(l + 7) = 42

2l + 14 = 42

2l = 42 - 14

2l = 28

l = 28/2

length (l) = 14cm

Therefore, area of rectangle :

Length * width

14 * 7 = 98cm

Area of red portion:

Area of rectangle - (area of the 2 semicircles)

98cm - 38.50cm

= 59.50cm

Sara works 46 hours per week

9 hours are overtime and 37 hours are regular time

pay rate at time and a half: 10.20∗1.5=15.30

regular hours plus overtime pay

37∗10.20=377.40

9∗15.30=137.70

Income due to tips

Total hours worked∗60per hour∗20%

46∗60∗.20=552

Weekly Income=Hourly income + tips

Weekly Income=377.40+137.70+552.00

Weekly Income=1067.10

Annual income=Weekly income∗52

Annual income=55489.20

Answer: -1.8

Step-by-step explanation:

Start at -5.5 and move the point on the number line up 3.7 spaces.

Hope it helps <3

Answer:

Your correct answer is -1.8

Step-by-step explanation:

−5.5 + 3.7

= −5.5+3.7

= −1.8

Answer:

480 liters of natural oil

Step by step Explanation:

ratio of natural to synthetic oil

= 5:3

If 440 liters have to be made then,

Add 5 + 3 = 8

So, 5/8 of 768 liters will be = 480 liters of natural oil

and, 3/8 of 768 liters will be = 288liters of synthetic oil

Therefore, 480 liters of natural oil will be needed