about 9% of the population has a particular genetic mutation. 800 people are randomly selected. find the mean for the number of people with the genetic mutation in such groups of 800.

The expression which is equivalent to −12(8a − 7b) + 8(4x + 3y) is - 96a + 84b + 32x + 24y.

The correct answer option is option a

Equivalent expression are expressions which when solved, the results are equal to the old expression.

-12(8a − 7b) + 8(4x + 3y)

Using PEMDAS

- 12(8a − 7b) + 8(4x + 3y)

- 96a + 84b + 32x + 24y

Therefore, the equivalent expression for −12(8a − 7b) + 8(4x + 3y) is - 96a + 84b + 32x + 24y.

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The value of subtracting the expressions (4.97n − 3.6) − (3 + 15.6n) is -10.63n − 6.6

Expressions are mathematical statements that are represented by variables, coefficients and operators

The expression is given as

(4.97n − 3.6) − (3 + 15.6n)

Start by opening the brackets

So, we have

(4.97n − 3.6) − (3 + 15.6n) = 4.97n − 3.6 − 3 - 15.6n

Next, we collect the like terms

So, we have

(4.97n − 3.6) − (3 + 15.6n) = 4.97n  - 15.6n − 3.6 − 3

Next, we evaluate the like terms

So, we have

(4.97n − 3.6) − (3 + 15.6n) = -10.63n − 6.6

Hence, the value of the expression is -10.63n − 6.6

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The Grand Answer is....

A!

I got the exam right...

Can I get brainliest?

The number of traditional viewing theater is 14 , number of 3D movie viewing theaters is 2 , and number of luxury movie viewing theater is 5 .

In the question ,

it is given that

The 21-screen movie complex has  three types of movie theaters,

let the number of traditional movie viewing theater be  "a" ,

let the number of 3D movie viewing theater be  "b" ,

let the number of luxury movie viewing theater be  "c" ,

So , a+b+c=21      ...(i)

given that ,

Traditional viewing theaters are twice of the combined number of 3D and luxury theaters ,

So the equation is

a=2(b+c)         ...(ii)

also , the number of luxury theaters exceeds the number of 3D theaters by 3 ,

So , the equation is

c=b+3     ....(iii)

Substituting value of c from (iii) in (ii) and (i) we get ,

a-4b=6 and a+2b=18

Solving , we get a=14 and b=2 .

Substituting a=14 and b=2 in (iii) , we get

c=5 ,

So , a =14 , b=2 and c=5

Therefore , the number of traditional viewing theater is 14 , number of 3D movie viewing theaters is 2 , and number of luxury movie viewing theater is 5.

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Each member of the club needs to pay £ 4.895 to cover the cost of hiring the buses.

A youth club's 143 members and eight leaders ride a bus to a bowling alley.

The buses for hire by the beezer bus company hold 32 passengers each.

The cost of each bus to hire is £140.

There are eight leaders and 143 members.

Therefore, there are a total of 143 + 8 = 151 passengers.

So, the number of buses required will be:

= 151 / 32 =  4.7 ≈ 5 buses

Therefore, the cost of hiring 5 buses will be:

= 5 × £140 = £ 700

As the eight leaders will not ay.

Therefore, the amount each member needs to pay is:

= £ 700 / 143

= £ 4.895

Each member of the club needs to pay £ 4.895 to cover the cost of the buses.

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Answer:-50x+36

Step-by-step explanation:

Answer:

-50+36

Step-by-step explanation:

i hope that helps

a. 8 + 0 = 4 +4

d. 5+1 = 6 +0

b. 7+2=9+0

e. 6 +1= 4 + 3

C. 5+2=4+3

f. 5+4= 6+3

How can I locate a lost number?

Missing numbers are those that were omitted from the offered series of numbers with comparable discrepancies. Finding similar differences between the missing numbers and adding their missing values to the appropriate series is how the missing numbers are written.

example

Children are frequently asked to solve number sentences, which are compositions of numbers and mathematical processes. Number phrases contain the following: 32 + 57 =? 5 x 6 = 10 x?

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Answer:17

Step-by-step explanation:

|-3|^3 + 8

3^3 +8

9+8

17

Answer:

Any number raised to 0 is equal to 1

hence: 2^0 = 1

If the steps are shaped like rectangular prism, then the expression that can be used to find the volume is option (B)  (6×16×6)+(14×16×7)

The steps are shaped like rectangular prism

The length of the rectangular prism = l×w×h

Where l is the length

w is the width

h is the height

First we have to separate the given steps in to two rectangular prism and find the volume of each prism

The volume of the top prism = l×w×h

= 6×16×6 cubic inches

The volume of the bottom prism = l×w×h

= 14×16×7 cubic inches

The total volume = (6×16×6)+(14×16×7) cubic inches

Hence, if the steps are shaped like rectangular prism, then the expression that can be used to find the volume is option (B)  (6×16×6)+(14×16×7)

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Answer:

24

Step-by-step explanation:

b= (2,-1);

(3,1) - left 1, down 2

The remainder when [tex]5^{400}[/tex] is divided by 19, the remainder is 17.

Remainder

The Remainder is the value left after the division. If a number (dividend) is not completely divisible by another number (divisor) then we are left with a value once the division is done. This value is called the remainder.

We can write,

[tex]5^{400} = (5^4)^{100} = 625^{100}[/tex]

We know that,

19*33 = 627

Hence, we can write 625 as 627 - 2

It will become,

[tex]\frac{(627-2)^{100}}{19}=\frac{(-2)^{100}}{19}[/tex]

We know that, even power of any number and its negative counterpart will be same.

Hence, we can write,

[tex]\frac{(-2)^{100}}{19}=\frac{(2)^{100}}{19} = \frac{2*2^{99}}{19}[/tex]

We know that 99 = 11*9

Hence, we can write,

[tex]\frac{2*({2^9})^{11}}{19} =\frac{2*512^{11}}{19}[/tex]

We know that,

19*27 = 513

Hence, we can write, 512 as 513 - 1

[tex]\frac{2*(513-1)^{11}}{19}=\frac{2(-1)^{11}}{19}[/tex]

2*(-1)/19 = -2/19

It means the remainder will be 19 - 2 = 17.

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Answer: 37/20 1 17/20

Step-by-step explanation:

Hope this helps

Answer:

93/20

Step-by-step explanation:

7/10 + 2/5 + 3/4

= (70+8+15)/20 [.°. L. C. M. of 10, 5 , 4 ]

=93/20

For the given inequality 2(b + 2) ≥ 24 solution of the graph represented by number line with closed point at 10 with arrow pointing right.

As given in the question,

Given inequality is :

2(b + 2) ≥ 24

Solution of the given inequality 2(b + 2) ≥ 24 is equal to :

2(b + 2) ≥ 24

Divide both the sides by 2

[2(b  + 2 )] / 2 ≥ 24 /2

Subtract 2 from both the sides

b + 2 -2 ≥ 12 - 2

⇒ b ≥ 10

Interval form is represented by [10, ∞)

Solution of the graph represent 10 is included to arrow moves towards positive infinity.

Therefore, for the given inequality 2(b + 2) ≥ 24 solution of the graph represented by number line with closed point at 10 with arrow pointing right.

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A scatter plot for the data shown in the table is plotted and illustrated in the attachment below.

A scatter plot is also referred to as scatter diagram, scatter chart, or scattergram and it can be defined as a type of graph which is used for the graphical representation of the values of two (2) variables, with the resulting points showing any association (correlation) between the data set.

In this scenario, the text messages would be plotted on the x-axis of the scatter plot while the age would be plotted y-axis of the scatter plot as depicted in the image attached below.

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Answer:

answer is 4

because y is directly proportional to x2

Answer:

y is directly proportional to x

y=kx^2

20=2^2k

20=4k

k=5

y=6k

y=6(5)

y=30

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The value of X and Y in the length of each side of an equilateral triangle is X = 3 and Y = 4

In this question we have been given the equations for the three sides of an equilateral triangle.

3X +12, 8X -3 and 5Y + 1

We need to find the value of X and Y.

We know that all sides of an equilateral triangle are equal.

so, 3X +12 = 8X -3 = 5Y + 1

Consider 3X +12 = 8X -3

3X -8X = - 3 - 12

-5X = - 15

X = 3

Now consider an equation 8X - 3 = 5Y + 1

substitute above value of X in this equation.

8(3) -3 = 5Y + 1

24 - 3 = 5Y + 1

21 - 1 = 5Y

5Y = 20

Y = 4

Therefore, the value of X and Y in the length of each side of an equilateral triangle is X = 3 and Y = 4

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Answer:

All four of these numbers are rational.

The probability that maximum speed differs from the mean value by at most 1.5 standard deviations is 0.1336.

The probability is typically defined as the proportion of positive outcomes to all outcomes in the sample space. It is written as, P(E) = (Number of favorable outcomes) = Probability of an Event (Sample space).

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

The probability will be illustrated as:

P(|Z|>1.5)

= P(Z<-1.5) + P(Z>1.5)

= 2*P(Z<-1.5)

Look at the value under the distribution table. This is 0.0668.

= 2 × 0.0668

= 0.1336

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The correct answer by simplifying 5√2-9√6 is:

- 14.974

Steps to simplify square roots:

Here given the expression,

  5√2-9√6

simplifying the expression,

5√2 - 9√6

= 5√2 - 9√2 x √3

= - 14.974

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Distance was 10 miles away from home.

What is Distance ?

The measurement of distance is the separation between two objects or points, and it can be quantitative or occasionally qualitative. Distance can refer to a physical length in physics or to an estimate based on other factors in ordinary language.
For a journey to see her cousin, Hannah traveled. She traveled 120 miles one way to visit her cousin and 120 miles the other way to return home.

She traveled halfway to her cousin's home in 1.2 hours.
That is 120 / 2 = 60 miles
(Speed = distance/time) 60 miles in 1.2 hours
Average speed = 60 / 1.2

                          = 50 mph.

For the remainder of the journey to her cousin's home, Hanna's average speed was 40 miles per hour.
Another 60 kilometers remain: Time (= Distance/Speed)
Time = 60/40

         = 1.5 hours.

Hanna averaged 55 miles per hour when she made her way home along the same path. Her automobile broke down after two hours.

Find the distance traveled at 55 mph in 2 hours. (Distance = time * speed)

Distance = 55 * 2 = 110miles

So distance from home will be,

= 120 - 110

= 10 miles

Hence, she was 10miles away from her home

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Answer:

12

Step-by-step explanation:

we enter -3 in for all the x's and rewrite the problem.

-3 (1 - (-3) -4 • 2)

then we calculate ending up with the next problem.

-3 • (-4)

then we simply multiply and end up with 12 as our answer, hope this helped!

The commutative property is a mathematical property that states to combine like terms. Like terms are terms that have the same variables and powers.

In the given:

8x + 4 + 6x +2

By adding 8x and 6x, and 4 + 2, you are using the commutative property to simplify this expression.

8x+6x = 14x

4+2=6

The simplified equation is 14x + 6

-------

If you would like to further simplify this expression, factor out the greatest common factor.

The further simplified expression would look like: 2(7x + 3)

The temperature outside an airplane that took off and climbed to 5000 m will be -15 degrees Celsius.

We will use Unitary method to solve the iven problem.

The ground temperature at Pearson Airport was 10 degrees Celsius.

The temperature drops 5 degrees for every 1000 m above ground. This can be written as,

5 degrees  Celsius      ---------------->   1000m

1m      ---------------->   (5/1000) degrees  Celsius

5000m      ---------------->   (5/1000)×5000 degrees  Celsius

5000m      ---------------->    25 degrees  Celsius

For 5000m above the ground, the drop in temperature will be 25 degrees  Celsius.

The temperature outside an airplane that took off and climbed to 5000 m will be = 10 - 25 = -15 degrees Celsius.

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The change in area is 0.8π [tex]m^{2}[/tex] and percentage is 20%.

What is change in area?

Let A denotes the area of the circle when its radius is r, then A=πr2 Now, the rate of change of the area with respect to its radius is given by, dA dr = d dr(πr2) = 2πr When r= 4cm,(dA dr)r=4= 2π(4) = 8π cm2 per cm Hence, the area of the circle is changing at the rate of 8πcm2/cm

Given,

initial radius = 2m

increased radius = 2.02 m

change in radius dr = 2.02 - 2 = 0.02m

Area = π[tex]r^{2}[/tex] = 4π

dA = 2πrdr

=2π(2)(0.02)

=0.08π [tex]m^{2}[/tex]

Estimated percentage = 0.08/4×100

=2%

Hence, the estimated percentage is 2%.

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Answer:

ok

Step-by-step explanation:

c is  85

360-170

190/2

95

c=85

b=95