Divide
-36
-8
Enter your answer as a mixed number, in simplified form, in the box.

Based on the calculations, the value of x in this geometric sequence is equal to √2

Mathematically, the nth term of a geometric sequence is given by this mathematical expression:

aₙ = a₁rⁿ⁻¹

Where:

Next, we would determine the common ratio of this geometric sequence as follows:

r = a₂/a₁ = a₃/a₁

Substituting the given parameters into the common ratio formula, we have;

1/√X + 1 = √x - 1/1

Taking the square of both sides, we have:

1/x + 1 = x - 1/1

Cross-multiplying, we have:

(x + 1)(x - 1) = 1

x² - x + x - 1 = 1

x² - 1 = 1

x² = 1 + 1

x² = 2

x = √2

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The value of value of 13 squared is 169 and this is between 168 and 170.

It should be noted that a square of a particular number simply means the multiplication of the number by itself.

Based on the information, the value of 13 squared will be:

= 13 × 13

= 169

It should be noted 169 will be between 168 and 170.

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The answer to all the subparts are:

So, the formula for mean calculation:

So, we obtain:

The formula for standard error:

So, we get:

[tex]\begin{aligned}&S E=\sqrt{\frac{0.64+(1-0.64)}{50}} \\&S E=\sqrt{0.004608} \\&S E=0.068\end{aligned}[/tex]

So, the standard error is 0.068, and the mean is 32.

Given the size of the sample, a roughly normal shape can be anticipated.

In order to determine the likelihood of scoring less than 60%, we must first determine the z-score using:

So, we obtain:
[tex]\begin{aligned}&z=\frac{0.60-0.64}{0.068} \\&z=-0.588\end{aligned}[/tex]

Then,

Consequently, the probability of receiving a score below 60% is 0.278.

Therefore, the answer to all the subparts are:

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The complete question is given below:
An exam consists of 50 multiple-choice questions. Based on how much you studied, for any given question, you think you have a probability of 0.64 of getting the correct answer. Consider the sampling distribution of the sample proportion of correct questions out of 50. (a) Find the mean and standard error of the sampling distribution of this proportion. Mean = (2 decimal places) Standard error = (3 decimal places) (b) What do you expect for the shape of this sampling distribution? approximately normal because n is large cannot be determined because p is greater than 0.5 cannot be determined because n is large approximately normal because the population is normal (c) If truly p = 0.64, calculate the probability of getting a sample proportion less than 0.60? (correct answers on less than 60% of the questions) Probability = (3 decimal places)

Answer:

7.5 or 7 1/2

Step-by-step explanation:

A recipe requires 2 1/2 of flour. How much flour is needed to triple the recipe?​

3 × 2 1/2 can be written as 3 × 2.5 = 7.5 or 7 1/2

The unit rate of the can in Hefty bird grocery store is 3

The unit rate of the can in  bulky grocery is 4

The unit rate  at Hefty bird grocery store can be calculated as follows

15= 75

1= x

cross multiply both sides

15x= 75

x= 75/15

x= 3

The unit rate at bulky grocery can be calculated as follows

8= 32

1= y

cross multiply both sides

8y= 32

y= 32/8

y= 4

Hence the unit rates are 3 and 4 respectively.

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Table A matches with x - 3y = 13,  table B matches with 2x - 3y = 9 ,table C matches with 3x -y = -2 and table D matches with 3x - y = -2

What is Linear equation ?

Linear equation can be defined as equation in which highest degree is one.

from the given tables ,

lets first take the values,

x = 0 , y = -4

lets subsitute that in the given equation ,

x - 3y = 12

0 - 3 * -4

= 12

table A matches with equation x - 3y = 13

and subsitute x = 3 and y = - 1

2x - 3y = 9

2*3 - 3* -1

= 9

table B matches with 2x - 3y = 9

put x = -1 and y = 2

3x - y = - 5

3*-1 - 2

= -5

table C matches with 3x -y = -2

put x = -5 y = -13

3x - y = -2

3*-5 - + 13

= -2

table D matches with 3x - y = -2

Therefore, Table A matches with x - 3y = 13,  table B matches with 2x - 3y = 9 ,table C matches with 3x -y = -2 and table D matches with 3x - y = -2

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h divide by 4 = 9

Mathematically, this can be written as

h / 4 = 9

Introduce cross multiplication

h = 4 x 9

h = 36

The answer is 36

The amount of money Mr.Sykes will spend on calculators is £629.2.

Given:

Total Number of students in year 11 = 104

Cost of each calculator =  £6.05

Now to calculate the total cost of all the calculators we have to multiply the number of students by the cost of one calculator.

Amount of money Mr.Sykes will spend on calculators = Total Number of students × Cost of each calculator

= 104 × 6.05

= £629.2

Hence, the total amount of money Mr.Sykes will spend on calculators is £629.2.

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Symbol used to compare the negative two and three tenths repeating and negative eight thirds is :

negative two and three tenths > negative eight thirds.

As given in the question,

Given numbers :

Negative two and three tenths = [tex]-2\frac{3}{10}[/tex]

                                                    = -23 /10

Negative eight thirds = -8/3

To compare two numbers using symbols <, >, or = denominator should be equal

Least common multiple of 10 and 3 is 30.

(-23/10) ×(3/3) = -69/30

(-8/3)×(10/10) =-80/30

-69/30 > -80/30

⇒[tex]-2\frac{3}{10}[/tex] > -8/3

Therefore, symbol used to compare the negative two and three tenths repeating and negative eight thirds is :

negative two and three tenths > negative eight thirds.

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The sets that number 343 belongs to are:

So, 343 is:

Therefore, the sets that number 343 belongs to are:

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The numbers from least to greatest in ascending order is 1/5 , 0.35 , 12/25 , 0.5 , 4/5.

The organization of numbers known as ascending order places the smallest number before the greatest.

The numbers can be written in decimals as:

0.5 , 0.2 , 0.35 , 0.48 and 0.8.

The numbers written from least to greatest in ascending order is :

0.2 < 0.35 < 0.48 < 0.5 < 0.8

Hence the numbers will be:

1/5 , 0.35 , 12/25 , 0.5 , 4/5.

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Answer:

12.

Step-by-step explanation:

During the previous 3 hours before the New York bus leaves, 6 buses would have left Albany so the New York bus will pass them on the way.

Also 6 buses will leave Albany during the three hours of travel,

Tha answer is 6 + 6 = 12.

Answer:

y = -1x

gradient = -1

rise/run= +10-20/-10+20

            = -10/10

            = -1

y intercept is 0 as line is passing through 0 on y axis

For verification:

input any pair of x and y values in y = mx + b

10=-1(-10)+b

10=10+b

b= 10-10

b=0

Equation:

y = -1x

Step-by-step explanation:

write the question properly

The value of the greatest integer is -9.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is the sum of an integer and 4 times the next consecutive integer is -46.

Assume that the integer is x. Then, its consecutive integer will be (x + 1).

Then we can write -

x + 4(x + 1) = - 46

x + 4x + 4 = - 46

5x + 4 = - 46

5x = - 50

x = - 10

Then -

x + 1 = - 9, which is also greater than -10

Therefore, the value of the greatest integer is -9.

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A mathematical connection known as a function is one in which the values of one or more independent variables determine the values of a single dependent variable. Function implies that the independent variable affects the dependent variable (s).

       The answer is -11

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To prove ∠1 = ∠3.

Parallel lines are a grouping of two or more lines that all lie in the same plane but never cross. Both of them have the same slope and are equally spaced apart.

Numerous pairs of angles are created whenever any two parallel lines are intersected by a third line known as a transversal. The other angles are supplementary while some are congruent (equal). The parallel lines L1 and L2, which are divided by a transversal, can be seen in the following figure.

Given : [tex]l||k , m||n[/tex]

∠1= ∠2 {alternate interior angles}

∠2=∠3 {corresponding angles are equal because k is parallel to l }

Thus from the above two equations :

∠1 = ∠3

Hence, proved .

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Answer:

yes you did

Step-by-step explanation:

I hate math and my math teacher

Answer:

50

Step-by-step explanation:

in this equation you will have to add and multiply the Ns together then you will divide whatever value you get by 250

(2N-7N+4N) x (9N-14N)=250

(-1N) x (-5N)=250

5N=250

N=50

The number of units of each type that should be purchased to maximize the number of people processed is 6 unit A and 6 unit B.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Any mathematical object has a symbol, and that symbol is called a variable. A variable can specifically represent a number, a vector, a matrix, a function, its argument, a set, or one of its elements.

Given that,

The budget for new metal detectors is $75,000.

Maximum of 18 security guards available for each shift.

Unit A costs $5000, requires 1 security guard and can process 300 people per hour.

Unit B costs $7500, requires 2 security guards and can process 500 people per hour.

Let x = unit A

Let y = unit B

N = 300x + 500y

Here, 5000x + 7500y ≤ 75000

X+2y≤ 18

y≥4

x≥0

Hence,

(0, 9) = 300(0) + 500(9)

(0, 9) = 4500

(0, 4) = 300(0) + 500(4)

(0, 4) = 2000

(9, 4) = 300(9) + 500(4)

(9, 4) = 4700

since,

(6, 6) = 300(6) + 500(6)

(6, 6) = 4800

Therefore, flywithus should buy 6 unit A and 6 unit B to maximize the number of people processed.

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Answer:

[tex]x = \frac{910000}{207} [/tex]

The expression with rational exponent in radical form as √x⁵ Cassie's expression is correct.

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

We have been given that four students have rewritten the expression with rational exponent in radical form as shown.

As per Sammi's expression: VE

This is an incorrect expression

As per Malik's expression: √7³

This is an incorrect expression

As per Cassie's expression: √x⁵

This is the correct expression

As per Casey's expression: √T

This is an incorrect expression

Thus, the expression with rational exponent in radical form as √x⁵ Cassie's expression is correct.

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Answer:

n=3/2 and 6

Step-by-step explanation:

4n²-30n+36=0

2n²-15n+18=0

2n²-12n-3n+18=0

2n(n-6)-3(n-6)=0

(2n-3)(n-6)=0

2n-3=0 or n-6=0

n=3/2 or n= 6

factorization approach ✨