A number cube with six sides numbered 1 through 6 is rolled. the probability of rolling a 5 is 16. what is the probability of not rolling a 5?

The domain of the exponential function in this problem is given as follows:

0 ≤ n ≤ 5.

The exponential function in this problem is defined by the rule presented as follows:

g(n) = 10(1.02)^n.

In which the variables are listed as follows:

When the study was finished, the height of the flower was of 11.04 inches, hence the day at which the study was finished is obtained as follows:

10(1.02)^n = 11.04

(1.02)^n = 11.04/10

log[(1.02)^n] = log(11.04/10)

Applying the logarithm of power property, we have that:

nlog(1.02) = log(11.04/10)

n = log(11.04/10)/log(1.02)

n = 5.

The domain is the number of days for which the student was realized, hence:

0 ≤ n ≤ 5.

As the number of days cannot assume negative values.

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aₙ=a+(n-1)d is the formula can be used to find the nth term of the sequence.

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

Given sequence is 5,9,13,17,21

Five comma nine comma thirteen comma seventeen comma twenty one.

We need to find the nth term of the sequence.

Firstly we need to find the sequence is AP or GP.

An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same.

so 9-5=4,

13-9=4

Hence the sequence is a Aritmetic sequence.

In arithmetic sequence the nth term can be find by using the formula

aₙ=a+(n-1)d

where a is first term and d is common difference.

Hence aₙ=a+(n-1)d is the formula can be used to find the nth term of the sequence.

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I need help too on this one

Answer:

you lowest tempeture in the mesosphere is -96

Step-by-step explanation:

Answer:

The answer is III: 4.5

Step-by-step explanation:

It's not the first option since there has to be more than one person living in those houses. It's not the second since 3 is greater than 0, and median is in order from least to greatest. It's three since it's reasonable and is in order from least to greatest.

If the remainder is paid in equal monthly payments of $250. the number of month that the payments must be made is 24.

First step is to find the remainder after down payment

Remainder  = 6500-500

Remainder  = 6000

Now let find the number of monthly payment

Number of monthly payment = Remainder  / Monthly payment

Number of monthly payment = 6000 / 250

Number of monthly payment = 24

Therefore the monthly payment is 24.

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Answer:

this One...............

Answer:  30 in.

Step-by-step explanation:

So when you look at the right triangle closely, you can see that the c is the same length as the 30 in. That's why I think it is 30 in. (May be wrong)

The total number of pages that he read will be 210 pages.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Based on the equation given, the equation to represent Amir's information will be:

y = 35 × x

y = 35x

Jesse's equation will be:

y = 30(x + 1)

Then, we'll equate both equations together. This will be:

35x = 30(x + 1)

35x = 30x + 30

35x - 30x = 30

5x = 30

x = 30/5

x = 6

Therefore, the number of pages read will be:

y = 35x

y = 35 × 6

y = 210 pages.

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Answer:

-6a -13b - 12c + 4

Step-by-step explanation:

-12a + -5b - 12c + 6a - 8b - (-4)

-12a + -5b - 12c + 6a - 8b + 4   [a "- -" = +]

(-12a + 6a) -(5b -8b) - 12c + 4    [Group like terms.]

-6a -13b - 12c + 4

There can be different possible ways in which we can remove the objects and can form possibilities within the rows and columns

What are rows and columns?

Rows and columns are used to properly distinguish categories, classifications, types, etc., when they occur in matrices, spreadsheets, etc. The usage of these words is a bit confusing for most. Rows are a group of cells arranged horizontally to provide uniformity. Columns are a group of cells aligned vertically, and they run from top to bottom. Although the main reason for both rows and columns is to bifurcate groups, categories, and so on,

In the question, It is given that:

There are 16 objects.

and Number of rows = 4;

Number of column = 4;

The task to do is to remove 6, leaving an even number of objects in each row.

So, we can do that in the following manner;

So, we can remove the 2nd object, 4th object, 6th object,8th object,10th object, and 12th object. when we are dealing with rows.

So, we can remove the 2nd object, 4th object, 6th object,8th object,10th object, and 12th object. when we are dealing with the column.

Hence,

There can be different possible ways in which we can remove the objects and can form possibilities.

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The circumference of the circle to the nearest hundredth is 21.98 inches.

The circumference of a circle is the measure of the boundary or the length of the complete arc of a circle.

The circumference of a circle is the perimeter of the circle. It's the wholes boundary of the circle.

The circumference of the circle can be found as follows:

circumference of a circle = 2πr

where

Therefore,

diameter of the circle = 7 inches

radius of the circle = 7 / 2 = 3.5 inches

Hence,

circumference of a circle = 2 × 3.14 × 3.5

circumference of a circle = 21.98 inches

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The different ways that are there for the students to be ordered in the list so that Ed is higher on the list than Ned is 19,958,400

In the order, if Ned comes first on the list then Ed will not be on the list before Ned. (remember for Ed to be higher than Ned on the list, it should come after Ned on the list).

So if Ned is first on the list, then all the remaining (including Ed) can occur anywhere in the remaining list. Hence the total permutations will be 10!

Ned's corresponding choices: 1 109 8 7 6 5 4 3 -2 1

If Ned comes in the second position, then Ed can't come in the first position. Hence in the first position, there are only 9 choices.

*(excluding Ed) Ned * corresponding choices:

= 9*9!

*(including Ed (including Ed) Ned corresponding choices: *k

= 9*8*8!

Total combinations will be:

10! + 9*9! + 9*8*8! + 9*8*7*7! + 9*8*7*6*6! + 9*8*7*6*5*5! + 9*8*7*6*5*4*4! + 9*8*7*6*5*4*3*3! +9*8*7*6*5*4*3*2*2! + 9*8*7*6*5*4*3*2*1*1! .

= 19,958,400

We can directly compute it. Since there will be a total of 11! combinations in which 11!/2 times Ed comes after Ned and 11!/2 times Ed comes before Ned.

and 11!/2 = 39,916,800/2 = 19,958,400

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Answer:

  16 square inches

Step-by-step explanation:

You want the largest rectangle that can be inscribed in a semicircle with radius 4 inches.

The equation of a circle centered at the origin with radius 4 is ...

  x² +y² = 16

The height (y) of a rectangle whose corner is on the circle will be ...

  y = √(16 -x²)

The width of such a rectangle is 2x, so the area of it is ...

  A = WH = (2x)√(16 -x²)

The maximum area will be had when the derivative of the area with respect to x is zero.

  A' = 2√(16 -x²) - 2x²/√(16 -x²) = 0

Multiplying by √(16 -x²)/2 gives ...

  16 -x² -x² = 0

  16 = 2x²

  x = √(16/2) = 2√2

The corresponding area of the rectangle is ...

  A = 2(2√2)√(16 -(2√2)²) = 16

The largest rectangle has an area of 16 square inches.

__

Additional comment

As is often the case with rectangle optimization problems, the largest rectangle that can be inscribed in the quarter circle in each quadrant is a square. It has a diagonal of 4 inches, so an area of 4²/2 = 8 square inches.

The attachment shows the cubic curve representing the area of that square as a function of its width. As above, the rectangle area is double this value.

the equation representing amount paid by Peggy and Daniel for songs is

the cost per download for members and for non-members

from the question the following information can deduced

Daniel is not a member of the club and downloaded 85 at rate of $0.35

total amount paid by Daniel

= 85 * 0.35

= 29.75

Peggy is a member and downloaded 105 songs at a rate of $x

Total amount paid by Peggy

= 105 * $x

= 105x

equating both amounts

105x = 29.75

cost of downloading a song for members, x0.28

105x = 29.75

x = 29.5 / 105

x = 0.28

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A and B are two sets, and the set formula is given as n(AB) = n(A) + n(B) - n(AB), where n(AB) denotes the number of elements present in either A or B, and n(AB) is the number of elements present in both A and B.

Drawing Venn diagrams, as seen below, is the simplest method for solving set issues.

The total number of elements in any set A or B is n(AB).

The total number of elements in sets A and B is n(AB).

n(AB) is equal to n(A) + n(B) - n(AB)

U={a,b,c,d,e,f}

X={a,b,c,d},

Y={c,d,e}

Z={b,d,f}

(XUY) =  (a,b,c,d,e)

(XUZ)​ =(a,b,c,d,f)

(XUY)U(XUZ)  =  (a,b,c,d,e,f)

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[tex]\frac{3}{4}[/tex] of a 6-ounce glass will be drink by Logan in one hour.

What is Quantity?

Quantity is any number or variable and any algebraic combination of other quantities.

Define Average?

The average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values .

Explanation for the answer:

Given time [tex]= \frac{2}{3}[/tex] of hours

                =  [tex]\frac{2}{3}\times 60[/tex] ([tex]\because[/tex] 1hrs = 60min)

                [tex]= \frac{120}{3}[/tex]

               = 40 minutes

Given quantity of water [tex]=\frac{1}{2}\ of\ 6\ ounce[/tex]

                                       [tex]= \frac{1}{2}\times6\\ =3 ounce[/tex]

So,

In 40 mins, water intake is 3 ounce

In 1 min, water intake is [tex]\frac{3}{40}[/tex]

 In 60 mins, water in take is  [tex]\frac{3}{40}\times 60 = 4.5\ ounce[/tex]

Quantity of water intake in 60 mins:

4.5 ounce or 3/4 of 6-ounce glass

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The time taken to reach the maximum height is 1.25 seconds.

The maximum height is 32 feet.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

h(t) = -16t² + 40t + 7

Differentiating with respect to t.

h'(t) = -16 x 2t + 40

0 = -32t + 40

32t = 40

t = 40/32

t = 1.25

The maximum height.

h(t) = -16t² + 40t + 7

h(1.25):

= -16 x 1.25 x 1.25 + 40 x 1.25 + 7

= -25 + 50 + 7

= 32 feet

Thus,

The time taken to reach the maximum height is 1.25 seconds.

The maximum height is 32 feet.

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The solution of the system of equations are x = 4 and y = 4.

The system of equations would be solved using the elimination method.

−10x+2y=−32 equation 1

-2x-2y=−16 equation 2

In order to determine the value of x, take the following steps:

Add equation 2 and equation 1 together

-12x = - 48

Divide both sides of the equation by -12

x = -48 / - 12

x = 4

In order to determine the value of y, substitute for x in equation 1:

-(10 x 4) + 2y = -32

-40 + 2y = -32

Combine similar terms:

2y = -32 + 40

Add similar terms:

2y = 8

Divide both sides of the equation by 2

y = 8 / 2

y = 4

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Step-by-step explanation:

so basically, because Painting C costs £368 and Painting B is half that cost, Painting B costs £184. And Painting A is three times that amount Painting A costs £552.

You're Welcome ♡.

The value of k so that the system of equation has no solution is k = -4

Since we have the system of equations

kx + 6y = 6

y = 2/3x - 4

For the system of equations to have no solution, the determinant coefficient matrix must be zero.

Re-arranging the equations, we have

kx + 6y = 6

-2/3x  + y = - 4

So, the coefficient matrix is

[tex]\left[\begin{array}{ccc}k&6\\-2/3&1\end{array}\right][/tex]

So, the determinant D = k × 1 - (-2/3) × 6

= k + 2/3 × 6

= k + 2 × 2

= k + 4

Since the determinant must be zero for the system of equations to have no solution, we have that

D = 0

k + 4 = 0

k = -4

So, the value of k = -4

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Answer:

  0.591

Step-by-step explanation:

You want the probability that a height falls between 50.5 and 53.7 when the distribution of heights is normal with mean 53.4 and standard deviation 1.2. All measurements are in inches.

The area under the normal distribution curve with mean 53.4 and standard deviation 1.2 can be found using a suitable calculator. The one in the attachment shows the area between 50.5 and 53.7 is about 0.591

P(50.5 < X < 53.7) ≈ 0.591

__

Additional comment

Any spreadsheet and most graphing calculators have the necessary probability functions. Many special-purpose apps also can answer this question. A calculator answer is shown in the second attachment.

Answer:

x = - 7 , x = 10

Step-by-step explanation:

(x - 10)(x + 7) = 0

equate each factor to zero and solve for x

x - 10 = 0 ⇒ x = 10

x + 7 = 0 ⇒ x = - 7

Answer:

y = 2.60 (to 3sf)

Step-by-step explanation:

Since x is directly proportional to y², then x = ky², where k is a constant.

When x = 4, y = 3,

 4 = k(3)²

 4 = 9k

9k = 4

∴[tex]k =\frac{4}{9}[/tex]

∴ When x = 3,

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

∴y = 2.60 (to 3sf)

For the given normal distribution, 95% of the values lie between 40 and 60.

Let the said distribution be X

Here it is given that X follows a normal distribution and it has a mean of 50 and a standard deviation of 5.

Therefore we can write X~ N(50, 25)

Now we need to find P(40< X< 60)

= P(40< X< 60) = P(X < 60) - P(X<40)

To find this we need to convert it into the form of a standard normal and then look up the p-values from the Z-table.

To do this we need to use the formula

P(X < x) = Φ[(x - μ) / σ]

where,

μ is the mean

σ is the standard deviation

Therefore we get

P(X < 60) - P(X<40) = Φ[(60 - 50) / 5] - Φ[(40 - 50) / 5]

= Φ[2] - Φ[-2]

Φ(-x) = 1 - Φ(x)

Therefore,

Φ[2] - Φ[-2]

= 2Φ(2) - 1

We get the p-value

2 X .97725 - 1

= 1.9545 - 1

= 0.9545

= 95% (approx)

Hence 95% of the values are between 40 to 60.

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According to the discriminant, the quadratic equation y = 2 · x² - x + 1 has two roots that are complex and conjugate.

Quadratic equations are algebraic expressions of the form a · x² + b · x + c, where a, b, c are real coefficients. In this case, we can infer the nature of its roots by means of a discriminant:

D = b² - 4 · a · c

Whose possible results are listed below:

If we know that a = 2, b = - 1 and c = 1, then the nature of the roots of the polynomial:

D = (- 1)² - 4 · 2 · 1

D = 1 - 8

D = - 7

Then, the quadratic equation has two conjugate complex roots.

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Answer:

200

Step-by-step explanation:

Answer:

x=81

steps

From the concept of similarity

Answer:

0, 6 * 0,6 = 0.36

Step-by-step explanation:

Keyword is AND.First AND second matches both. It means you need to use *.

The probability of winning both matches is 0.36 or 36%.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

Since the outcome of each match is independent, we can use the multiplication rule of probability to find the probability of winning the next two matches:

P(win both matches) = P(win first match) x P(win second match)

The probability of winning a single match is given as 0.6.

Therefore, the probability of winning the first match is 0.6.

Now, assuming you won the first match, you still have a probability of 0.6 of winning the second match.

Therefore, the probability of winning both matches is:

P(win both matches) = P(win first match) * P(win second match)

= 0.6 x 0.6

= 0.36

Therefore,

The probability of winning both matches is 0.36 or 36%.

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Answer:90 t shirts

Step-by-step explanation: 20:30 is the ratio and if they make 60 sweatshirts, they would have to make 90 tshirts as well. this would keep the same ratio