Find the x 44in 55in

The relative frequency for the range 16 - 20 is 0.27.

The frequency of a data set refers to the number of times a data or an event is occurring.

From the given information:

Range         Number of values

1 - 5                       3

6 - 10                     1

11 - 15                    4

16 - 20                  5

21 - 25                   2

Total                     15          

Relative Frequency = Subgroup frequency/ Total frequency

Relative Frequency for the range 16 - 20:

= 4/15

= 0.27

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Answer:

.27

Step-by-step explanation:

Answer:

Your answer is $16.40

By applying the definitions of rigid transformation ((x, y) → (0.5 · x, 0.5 · y)) and dilation, we conclude that the coordinates of Q'(x, y) are (0.1).

Herein we must apply a rigid transformation into a given point to determine an image. Rigid transformations are transformations applied on a geometric locus such that Euclidean distance is conserved. Dilations are a kind of rigid transformations such that:

(x, y) → (k · x, k · y), for k > 0

If we know that Q(x, y) = (0, 2) and k = 0.5, then the coordinates of Q' are:

Q'(x, y) = (0.5 · 0, 0.5 · 2)

Q'(x, y) = (0, 1)

By applying the definitions of rigid transformation ((x, y) → (0.5 · x, 0.5 · y)) and dilation, we conclude that the coordinates of Q'(x, y) are (0.1).

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Answer: Q' = (0,1)

Step-by-step explanation: just did it on edge

Answer:

$420

Step-by-step explanation:

100.80/x = 24/100

with x being the regular price

x = (100.8*100)/24

x = 420

The value of the given logarithm using calculator is 2.031

Logarithm are inverse of exponential functions. Given the following logarithm expression;

log(7)52

This can also be expressed as:

log(7)52 = log52/log7

log(7)52 = 0.5399/0.9804

log(7)52  = 2.031

Hence the value of the given logarithm using calculator is 2.031

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Answer:

22

Step-by-step explanation:

The correct answers are option an x>2 for inequality 17x-16>18 and option b x>(4/3) for an inequality 3x-91>-87.

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than, or < ‘less than.

Given inequalities are:-

The inequalities will be solved as:-

i ) 3x - 91 > -87

3x > -87 + 91

3x > 4

x > ( 4 / 3 )

ii) 17x-16>18

17x > 18 + 16

17x > 34

x > 34 /17

x > 2

Therefore the correct answers are option an x>2 for inequality 17x-16>18 and option b x>(4/3) for an inequality 3x-91>-87.

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Answer:

Step-by-step explanation:

f(2x) means that we have to substitute x with 2x

So, the answer is

2x + 3

The value of x from the given equation is ±√10

Linear equations are equation that has a leading degree of 1. Given the equation below:

Given the equation below;

x² = 10

Take the square root of both sides

√x² = ±√10

x = ±√10

Hence the value of x from the given equation is ±√10

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The coefficient of the last term in the binomial expansion is 1.

Given term is (x + 1)⁹.

The algebraic expansion of a binomial's powers is expressed by the binomial theorem or binomial expansion. The process of expanding and writing terms that are equal to the natural number exponent of the sum or difference of two terms is known as binomial expansion.

The binomial expansion formula for (a + b)ⁿ= ⁿC₀(aⁿb⁰)+ⁿC₁(aⁿ⁻¹b¹)+ⁿC₂(aⁿ⁻²b²)+ⁿC₃(aⁿ⁻³b³)+...............+ⁿCₙ(a⁰bⁿ)

Here, a = x, b = 1 and n = 9.

Substituting the values in the formula,

⁹C₀(x⁹{1}₀)+⁹C₁(x⁹⁻¹{1}¹)+⁹C₂(x⁹⁻²{1}²)+⁹C₃(x⁹⁻³{1}³)+......+⁹C₉(x⁰{1}⁹)

The last term is ⁹C₉(x⁰{1}⁹)

The coefficient of the last term = ⁹C₉ = 1.

Hence, the coefficient of the last term in the binomial expansion of (x+1)⁹ is 1.

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The confidence interval for the true mean number of reproductions per hour is (7.5,7.7)

Given mean of 7.6 , standard deviation of 2.2, n=707 and 90% confidence level.

We have to find the confidence interval for the true mean number of reproductions per hour for the bacteria.

α=0.90

μ=7.6

σ=2.2

m=707

α/2=0.45

We have to calculate z value for the p value of 0.45 which is z=1.64.

Margin of error=z*μ/[tex]\sqrt{n}[/tex]

=1.64*2.2/[tex]\sqrt{707}[/tex]

=0.13

Lower level=mean -m

=7.6-0.13

=7.47

after rounding upto 1 decimal

=7.5

Upper level= mean +m

=7.6+0.13

=7.73

after rounding upto 1 decimal

=7.7

Hence the confidence interval is (7.5,7.7) for the true mean number of reproductions per hour.

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Answer:

In interval notation, the solution of |3 x-2|<7 is [tex]$-\frac{5}{3} < x < 3$[/tex] or [tex]$\left\{-\frac{5}{3}, 3\right\}$[/tex].

Step-by-step explanation:

The given absolute value function is |3 x-2|<7.

It is required to solve the inequality and express the solution using interval notation. -B<x-A<B and solving them separately for x

Step 1 of 3

Given absolute value equation is |3 x-2|<7.

It can be written as -7<3 x-2<7.

To solve for the equality, 3x-2=7 and

[tex]$$3 x-2=-7$$[/tex]

First, solve the equation 3x-2=7, then add 2 on both sides.

[tex]$$\begin{aligned}&3 x=7+2 \\&3 x=9\end{aligned}$$[/tex]

Step 2 of 3

Simplify 3x=9 further, by dividing each side with 3 .

[tex]$$\begin{aligned}&\frac{3 x}{3}=\frac{9}{3} \\&x=3\end{aligned}$$[/tex]

Step 3 of 3

Similarly, 3x-2=-7

From the above term 3x-2=-7,

Add 2 on each side.

[tex]$$\begin{aligned}&3 x=-7+2 \\&3 x=-5\end{aligned}$$[/tex]

Simplify $3 x=-5$ further, by dividing each side with 3 .

[tex]$$\begin{aligned}&\frac{3 x}{3}=-\frac{5}{3} \\&x=-\frac{5}{3}\end{aligned}$$[/tex]

Therefore, the solution is [tex]$-\frac{5}{3} < x < 3$[/tex] or [tex]$\left\{-\frac{5}{3}, 3\right\}$[/tex]

On the number line after 10 moves frog is at the integer -96.

Given that, a frog starts at 0 on a number line.

It jumps 100 units to the right then jumps 200 units to the left=+100-200=-100 (2 moves).

It then jumps 199 units to the right followed by 198 units to the left =-100+199-198=-99 (2 moves).

It then jumps 197 units to the right followed by 196 units to the left =-99+197-196=-98 (2 moves).

It then jumps 195 units to the right followed by 194 units to the left =-98+195-194=-97 (2 moves).

It then jumps 193 units to the right followed by 192 units to the left =-97+193-192=-96 (2 moves).

Hence, on the number line after 10 moves frog is at the integer -96.

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Answer:

y = - 6x + 7.5

Step-by-step explanation:

the perpendicular bisector of BC passes through the midpoint of BC at right angles to BC.

calculate the slope m of BC using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = B (- 2, 1 ) and (x₂, y₂ ) = C (4, 2 )

[tex]m_{BC}[/tex] = [tex]\frac{2-1}{4-(-2)}[/tex] = [tex]\frac{1}{4+2}[/tex] = [tex]\frac{1}{6}[/tex]

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{6} }[/tex] = - 6

the midpoint of BC is the average of the x and y coordinates

midpoint = ( [tex]\frac{-2+4}{2}[/tex] , [tex]\frac{1+2}{2}[/tex] ) = ( [tex]\frac{2}{2}[/tex] , [tex]\frac{3}{2}[/tex] ) = ( 1, 1.5 )

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 6 , then

y = - 6x + c ← is the partial equation

to find c substitute (1, 1.5 ) into the partial equation

1.5 = - 6 + c ⇒ c = 1.5 + 6 = 7.5

y = - 6x + 7.5 ← equation of perpendicular bisector of BC

Answer:

D .2

Step-by-step explanation:

3-(-9)

5-(-1)

=3+9

5+1

12

6

= 2

Answer: (–∞, –6)

Step-by-step explanation:

From the given information, the function is never non-negative over (-8,-6), which is the only subset of the interval that is given.

Using proportions, it is found that both can be right, as the amounts found from each operation are the same.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Considering you have 73 cards, and your cousin says that you have 7 less than half the cards he has, his amount is found as follows:

0.5x - 7 = 73

0.5x = 80

x = 160.

Then, one-fourth of his amount is:

(1/4) x 160 = 40.

33 more than this is:

33 + 40 = 73.

Both operations have results (73,160), hence the both can be right.

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The equation has no solutions when m = 0, and when m ≠ 0, the equation has only one solution.

Here we have the equation:

m*x = 5

If we solve for x, we get:

x = 5/m

So, as long as m is different than zero, we will have one solution.

We can't have m = 0 because we can't divide by zero.

Then:

m > 0 or m < 0.

We have no solutions when m = 0, the equation becomes:

0*x = 5

0 = 5

This equation has no solution

And we never can have infinite solutions.

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The inverse of the given function is y = [tex]\rm \sqrt {x/2}[/tex].

A function is a mathematical statement used to relate a dependent and an independent variable.

The function given is

y = 2x²

To find the Inverse of a function ,

The x and y are interchanged and the function is again written in terms of x

Here

x = 2y²

y² = x/2

y = [tex]\rm \sqrt {x/2}[/tex]

Therefore the inverse of the given function is y = [tex]\rm \sqrt {x/2}[/tex].

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Answer:

AED 3

Step-by-step explanation:

Let tacos: t

Let burritos: b

1) Set up equations.

2t + 3b = 18

4t + 2b = 20

2) Solve the system of equations using substitution.

2t = 18 - 3b

t = 18/2 - 3b/2

t = 9 - 3b/2

Substitute this into the second equation and simplify.

4(9 - 3b/2) + 2b = 20

36 - 12b/2 + 2b = 20

36 - 6b + 2b = 20

36 - 4b = 20

-4b = 20 - 36

-4b = -16

b = -16/-4

b = 4

3) Substitute the found answer in any one of the two equations.

2t + 3(4) = 18

2t + 12 = 18

2t = 18 - 12

2t = 6

t = 6/2

t = 3

Therefore, a soft taco costs AED 3.

Answer:

B

Step-by-step explanation:

-0.5244 will separates the highest 70% of the scores in a normal distribution from the lowest 30%

Normal Distribution is bell shaped and symmetrical in nature.

We use standard normal to find probabilities of normal distribution.

Fig 1 represents Graph of standard normal

and Fig 2 is % points Table for standard normal distribution.

From % points Table the value separates the highest 70% of the scores in a normal distribution from the lowest 30% is 0.5244 since 30% lies left side from 0 it will be negative

⇒  value separates the highest 70% of the scores in a normal distribution from the lowest 30% is -0.5244

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Answer: 17 players

Step-by-step explanation: 1780.50-1151.50=629, 629/37 = 17

The number of players the team can bring to the tournament is 17.

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

As per the given,

Budget = $1780.50

Fixed cost (bus rent) = $1151.50

Variable cost = $37 per player.

For n number of players.

Total cost = 1151.50 + 37n

Total cost ≤ total budget

1151.50 + 37n ≤ $1780.50

37n ≤ 629

n ≤ 17

Hence "The number of players the team can bring to the tournament is 17".

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Answer:

A quadratic function

Step-by-step explanation:

Answer:

f(x) = 2|x – 2|  + 6

Step-by-step explanation:

On edg 2022

The required probability is 0.45

We have total 26 letters in english, of which 21 are consonants and 5 are vowels.

According to the question, we have to select 5 of them of which 4 will be consonants and 1 will be vowel.

Suppose we want to have the vowel in the first selection, so the probability of picking a vowel is equal to the quotient between the number of vowels and the number of total number of letters.

So the probability is 5/26

Now, a letter has been selected, so in the set, we have 25 letters left.

In the next 4 selections, we must select consonants.

In the second selection the probability is 21/25

In the third selection the probability is 20/24

In the fourth selection the probability is 19/23

In the last selection the probability is 18/22

So, the probability is (5/26)×(21/25)×(20/24)×(19/23)×(18/22)

Now, remember that we take that the vowel must be in the first place, but it can be in any five places, so if we add the permutations of the vowel letter we have,

P = 5×(5/26)×(21/25)×(20/24)×(19/23)×(18/22) = 0.45

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Answer:

the x-values of the relation are the y-values of the inverse.

The computation shows that the number of flowers will be 10.

The information illustrates the flowers that were brought for the nursery.

Based on the information given, the total number of flowers bought for the nursery will be:

= 5 freesias + 3 rosebrushes + 2 calls lilies

= 10

In conclusion, the total number of flowers is 10.

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Step-by-step explanation: