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Answer:

The probability that you win at least $1 both times is 0.25 = 25%.

Step-by-step explanation:

For each game, there are only two possible outcomes. Either you win at least $1, or you do not. Games are independent. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

Probability of winning at least $1 on a single game:

The die has 6 sides.

If it lands on 4, 5 or 6(either of the three sides), you win at least $1. So

\(p = \frac{1}{2} = 0.5\)

You are going to play the game twice.

This means that \(n = 2\)

The probability that you win at least $1 both times is

This is P(X = 2).

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 2) = C_{2,2}.(0.5)^{2}.(0.5)^{2} = 0.25\)

The probability that you win at least $1 both times is 0.25 = 25%.

The probability that you win at least $ 1 both times is 25%.

Since in a particular game, a fair die is tossed, and if the number of spots showing is either four or five, you win $ 1, while if the number of spots showing is six, you win $ 4, and if the number of spots showing is one, two, or three, you win nothing, and you are going to play the game twice, to determine the probability that you win at least $ 1 both times the following calculation must be performed:

Therefore, the probability that you win at least $ 1 both times is 25%.

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Answer:

BCD=100

hope it helps

Step-by-step explanation:

Brainliest please

The total number of oranges present in the bag was 21.

For the stated question.

Let the total number of oranges in the bag be 'x'.

Total stale oranges = 7.

Thus,

Probability (first orange is stale) = Total stale oranges/ Total oranges.

Probability (first orange is stale) = 7/x

Probability (second orange is stale) = 6/(x - 1).

But, probability to pick two stale oranges is 2/21

7/x . 6/(x - 1) = 2/21

On solving,

x ² - x - 441 = 0

x = 21

Thus, the total number of oranges present in the bag was 21.

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Answer:

y = 3x + 2

Step-by-step explanation:

Slope-intercept form looks like this: y=mx+b

First, you must do⤵⤵⤵:

\( \frac{y _{2} - y _{1} }{x _{2} - x _{1} } = \frac{rise}{run} = slope\)

y: 5 - (-1) = 5 + 1 = 6

x: 1 - (-1) = 1 + 1 = 2

6/2 = 6 ÷ 2 = 3

Slope = 3 (This automatically means 3/1 btw)

Now, from the first coordinates (-1, -1), go upwards 3 units and to the right 1 unit. Do this until you get to the second point. (Here it is graphed for you, above⤴⤴⤴) You can see that the y-intercept is 2.

Now that you know slope is 3, and y-intercept is 2, all you have to do is put it in slope-intercept form. Answer is y = 3x + 2

Hope this helps :)

Th volume of the scented candle is 401.9 cubic centimeters

Given en, Diameter of the scented candle, d = 16 cm Height of the scented candle, h = 20 cm

Formula used for finding the volume of a cylinder is: Volume = πr²h

where r is the radius of the cylinder, h is the height of the cylinder.

Now, Diameter of the scented candle = 16 cm

Radius of the scented candle, r = Diamete

r/2= 16/2= 8 cm

Height of the scented candle, h = 20 cm

Substitute the values in the formula, we get:Volume of the scented candle = πr²h = π(8)²(20)= π(64)(20)= 1280π cubic cm

We have to round the result to the nearest tenth.

Hence, the volume of the scented candle is 401.9 cubic centimeters (rounded to the nearest tenth).

Note: The value of π (pi) is constant and is approximately equal to 3.14159265 or 22/7.

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Answer: \(\frac{33}{65}\)

Step-by-step explanation:

cosine of ∠T = \(\frac{adjacent}{hypotenuse}\)

For ∠T,

cosine of ∠T = \(\frac{33}{65}\)

The value of the trigonometric relation cos ∠T = 0.507

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the triangle be represented as ΔTUV

where the measure of ∠UVT = 90°

And , the measure of side UT = 65 units

The measure of VU = 56 units

And , the measure of TV = 33 units

From the trigonometric relations ,

cos θ = adjacent / hypotenuse

On simplifying , we get

cos ∠T = TV / UT

cos ∠T = 33 / 65

cos ∠T = 0.50769

Hence , the trigonometric relation is solved

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Answer:

3.55

Step-by-step explanation:

First you must reduce the problems so they do not have a whole. then just divide. You can also use a calculator.

Answer:

the g.c.f is 44,46,

i not sure but hope it help

\(\text {Hey! To solve this problem you must...}\)

\(\text {Simplify the Equation:}\)

\(\text {Multiply (x+8) by 2.}\)

\(\text {x becomes 2x. 8 becomes 16}\)

\(2x+16>x+14 \text { will be your answer once you simplify it.}\)

\(\text {The Next Step is to Subtract x:}\)

\(\text {Q: Why Subtract x instead of adding x?}\)

\(\text {A: We need x to cancel out. So x-x will cancel out each other.}\)

\(\text {Note: In equations like these x-x is another way of saying 1-1.}\)

\(2x+16-x>x+14-x\\x+16>14 \text { would be your answer once you subtract x.}\)

\(\text {The Final Step is to Subtract 16.}\)

\(\text {Note: Subtracting 16 will cancel out 16-16 and just leave x by itself.}\) \(\text {That's what we are working towards.}\)

\(x+16-16>14-16\\x>-2 \text { would be your final answer.}\)

\(\text {Best of Luck!}\)

\(\text {-LimitedX}\)

Hey there!

\(2(x+8)>18+x-4\)

In our first step, we will need to simplify the inequality.

\(2x+16>x+14\)

Now we have to subtract x from both sides of the inequality.

\(2x+16-x>x+14-x=x+16>14\\x+16>14\)

In our last step, we will need to subtract 16 from both sides of the inequality.

\(x+16-16>14-16=x>-2\\x>-2\text{(ANSWER)}\)

Hope this helps!

\(\text{Please rate this answer and press the thank button!}\\\text{-TestedHyperr}\)

Answer:

Step-by-step explanation:

The square of a number n is denoted by n^2.

Examples:  The square of 2 is 2^2, or 4; the square of 5 is 5^2, or 25.  To find a perfect square of a number n, multiply the number by itself (obtaining the square of n).

Answer:

f⁻¹(x) = 1/2x + 7

Step-by-step explanation:

To find the inverse of a function, simply switch x and y and solve for y once more.

f(x) = -2x - 14

x = -2y - 14

x + 14 = -2y

(x + 14)/2 = f⁻¹(x)

1/2x + 7 = f⁻¹(x)

The clock minutes rotate 270 degrees in 45 minutes.

While rotating, the clock's hands are seen to move at a speed of six degrees per minute.

The number of degrees for a clock minute is solved by

60 minutes  = 360 degrees

1 minute = ?

cross multiplying

60 * ? = 360

? = 360 / 60

? = 6

hence 1 minute is 6 degrees

The formula to use to get the calculation is multiplying the number of minutes by 6

Number of degrees in 45 minutes = 45 * 6

Number of degrees in 45 minutes = 270 degrees

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\(\large \mathfrak{Solution : }\)

let's find the value of added tax :

The value of added tax (VAT) = ₹ 3277.5

Answer:

10 1/2 pounds are needed.

Step-by-step explanation:

7 x 1.5 = 10.5

Answer:

4z²+4z-15 Square Metre  

Step-by-step explanation:

According To The Question,

Area Of Garden = Length × Breadth

Area Of Garden = (2z+5) × (2z-3)

Area Of Garden = 4z²-6z+10z-15

Area Of Garden=4z²+4z-15 Square Metre

Answer:

1990

Step-by-step explanation:

Since the mother was 50 years old in 2000, she was 50 - (2000-1974) = 50 - 26 = 24 years old in 1974.

Hence, the daughter was 24/6 = 4 years old in 1974.

In "x" years after 1974, the daughter will be 4+x years old, while the mother will be 24+x years old.

We need to find "x" from the equation

2(4 + x) = 24+x.

8 + 2x = 24 + x,

x = 24 - 8 = 16.

1974 + 16 = 1990.

Answer In 1990 the mother doubles her daughter's age

Check In 1990 mother's age is/was 24 + 16 = 40 years.

In 1990 the daughter's age is/was 4 + 16 = 20 years.

The mode is one of the measures of central tendency in statistics. It represents the number that appears most frequently in a given list of numbers. In the example above, the mode for the list of numbers {5, 9, 12, 11, 12, 19, 18} is 12.

The mode is defined as the number that occurs most frequently in a list of numbers. In a set of numbers, there can be one mode, more than one mode, or no mode at all.

To find the mode for the list of numbers {5, 9, 12, 11, 12, 19, 18}, we need to identify the number that appears most frequently. Here, we can observe that 12 is the number that appears twice, while all the other numbers only appear once.

Therefore, the mode for this list of numbers is 12. It's important to note that if there are multiple numbers that appear with the same highest frequency, then all of them are considered as modes. For instance, if the list of numbers was {5, 9, 12, 11, 12, 19, 19, 18}, then both 12 and 19 would be modes since they each appear twice.

In conclusion, the mode is one of the measures of central tendency in statistics. It represents the number that appears most frequently in a given list of numbers. In the example above, the mode for the list of numbers {5, 9, 12, 11, 12, 19, 18} is 12.

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Answer:

For three points to be collinear, the vectors connecting the first point to the second point and the first point to the third point must be parallel. That is, the cross product of these two vectors must be equal to the zero vector.

The vector connecting the first point (1, 2, 3) to the second point (4, 7, 1) is:

v = <4-1, 7-2, 1-3> = <3, 5, -2>

The vector connecting the first point (1, 2, 3) to the third point (x, y, 2) is:

w = <x-1, y-2, 2-3> = <x-1, y-2, -1>

To check if these two vectors are parallel, we can take their cross product and see if it is equal to the zero vector:

v x w = <(5)(-1) - (-2)(y-2), (-2)(x-1) - (3)(-1), (3)(y-2) - (5)(x-1)>

     = <-5y+12, -2x+5, 3y-5x-6>

For this cross product to be equal to the zero vector, each of its components must be equal to zero. This gives us the system of equations:

-5y + 12 = 0

-2x + 5 = 0

3y - 5x - 6 = 0

Solving this system, we get:

y = 12/5

x = 5/2

Therefore, the values of x and y that make the three points collinear are x = 5/2 and y = 12/5.

Explanation

Step 1

remember some properties of the potentiation

then

Now we have

Step 2

using some properties of ln

I hope this helps you

The volume of the box is 4032cm³.

Rectangular:

A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.

Here a rectangular copper plate measures 36cm and 26cm is given.

A small square of 8cm is cut from the corner of the rectangle.

After cutting we have:

length (l) = 36 - 8 = 28

breadth(b) = 26-8 = 18

width(w) = 8cm

Formula to find the volume:

volume= length × breadth× width

= 28 × 18 × 8

= 4032cm³

Therefore we get the volume as 4032cm³.

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The values of the missing sides are;

a.  x = 35. 6 degrees

b. x = 15

c. x = 22. 7 ft

d. x = 31. 7 degrees

To determine the values, we have;

a. Using the tangent identity;

tan x = 5/7

Divide the values

tan x = 0. 7143

x = 35. 6 degrees

b. Using the Pythagorean theorem

x² = 9² + 12²

find the square

x² = 225

x = 15

c. Using the sine identity

sin 29= 11/x

cross multiply the values

x = 11/0. 4848

x = 22. 7 ft

d. sin x = 3.1/5.9

sin x = 0. 5254

x = 31. 7 degrees

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Answer:

52 + 13x

Step-by-step explanation:

To distribute something means to divide / share a part of something. The distributive property works similarly. The distributive property states that multiplying the total sum of two variables by a number is the same as the total sum of each product of individual variables and the number.

For example: a(b+c) = ab + ac

Therefore, in order to distribute the 13 into the terms inside the parentheses, you follow the distributive property and multiply each individual variable in the parentheses by 13 and add all the resulting products.

13(4 + x) = (13*4) + (13*x) = 52 + 13x

Answer:

24496

Step-by-step explanation:

40912 * (1-5%) ^10 = 24495.5

becuase they are humans, so round up to 24496

Answer:

2/15 of a yard, or 4.8 inches wide each

Step-by-step explanation:

Answer:62

Step-by-step explanation:

Answer:

it is 5.16

Step-by-step explanation:

Answer:

-5/8

Step-by-step explanation:

make them common denominatiers

(1/4)2 = 2/8

-7/8+2/8 = -5/8

The expression that will help to calculate the area of the figure is A = (n-6)² and the area will be 25 units² when n = 11.

A term may be a number, a variable, the product of two or more variables, a number and a variable, or any combination of these.

A single term or a collection of phrases can be used to create an algebraic expression.

For instance, 4x and y are the two terms in the formula 4x + y.

So, we have a square as a figure.

The side of the figure is (n - 6).

Now, the expression to find the area of the square will be:

A = (n-6)²

Now, evaluate when n = 11 as follows:

A = (n-6)²

A = (11-6)²

A = (5)²

A = 25 units²

Therefore, the expression that will help to calculate the area of the figure is A = (n-6)² and the area will be 25 units² when n = 11.

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The correct answer for the equation is: solutions (2,0) and (5,3).

According to the question, the expression can be simplified by substituting the values in the expression:

Therefore the required expression can be written as:

(x = 2; y = 0) and (x = 5; y = 3)

\(y = x-2 = 2-2 =0\)

\(y = x-2 = 5-2 =3\)

Both the solutions satisfied the given expression.

(x = 2; y = 0) and (x = 5; y = 3)

\(y=x^{2} -6x+ 8 = 4 -12+8=0\)

\(y=x^{2} -6x+ 8 = 25 -30+8=3\)

Both the solutions satisfied the given expression.

Hence, the correct answer for the equation is: solutions (2,0) and (5,3).

What is simplification?

The word simplification is the procedure in which complicated expression can be written in a simpler form to make the calculation easy. This method is used to calculated the answers for the unknown quantity.

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Step-by-step explanation:

Let the other endpoint be (x,y)

Since, (1,6) is the midpoint between (9,1) and (x,y)

Therefore,

1=(9+x)/2

=> 2=9+x

=> x= -7

and,

6=(1+y)/2

=>12= 1+y

=> y=11

So, the other endpoint is ( -7, 11)

Answer:

Step-by-step explanation:

Let the coordinates of Endpoint 2 be

(x ,y)

The midpoint of the endpoints is given by

\((1,6) = ( \frac{9 + x}{2} , \frac{1 + y}{2} )\)

Where x and y are coordinates of Endpoint 2

Comparing with the midpoint we have

\(1 = \frac{9 + x}{2} \\ 2 = 9 + x \\ \\ x = 2 - 9 \\ \\ x = - 7\)

\(6 = \frac{1 + y}{2} \\ 12 = 1 + y \\ \\ y = 12 - 1 \\ \\ y = 11\)

Therefore x = - 7 and y = 11

The coordinates of Endpoint 2 are

Hope this helps you