can someone please help me solve this

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In a population of 9500 subjects, 72% possess a certain characteristic. In a sample of 400 subjects selected from this population, 73% possess the same characteristic. How many subjects in the population and the sample, respectively, possess this characteristic?

Answer:

Population = 6840 subjects

Samples = 292 subjects

Step-by-step explanation:

In a population of 9500 subjects, 72% possess a certain characteristic.

The number of subjects in the population with this characteristics =

9500 × 72%

= 6840 subjects

In a sample of 400 subjects selected from this population, 73% possess the same characteristic.

The number of subjects in this sample with this characteristics is :

400 subjects × 73%

= 292 subjects

6840 subjects in the population posses this characteristic, while 288 subjects in the sample posses this characteristic

The given parameters are:

[tex]\mathbf{n = 9500}[/tex] --- population

[tex]\mathbf{x = 400}[/tex] -- sample size

[tex]\mathbf{p =72\%}[/tex] ---- the proportion

The number of subjects that posses the characteristics is simply the average of the sample or the population.

For the population, the average is calculated as:

[tex]\mathbf{\mu =np}[/tex]

So, we have:

[tex]\mathbf{\mu =9500 \times 72\%}[/tex]

[tex]\mathbf{\mu =6840}[/tex]

This means that:

6840 subjects in the population posses this characteristics

For the sample, the average is calculated as:

[tex]\mathbf{\bar x=px}[/tex]

So, we have:

[tex]\mathbf{\bar x=72\%\times 400}[/tex]

[tex]\mathbf{\bar x=288}[/tex]

This means that:

288 subjects in the sample posses this characteristics

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Answer:

the scale dilation is 2 times

Step-by-step explanation:

the scale is 2 because the size of the original is 2X2 and the dotted square is 4X4.

You learn multiplication in 3rd grade but ok buddy, kinda sad you are doing algebra not knowing that 6x3=18

Answer:

18 lollllllllllllllllllllllllllll

Answer:

pretty sure it's 9

Step-by-step explanation:

if u could subscribe to my friend penny_pg3d that would be great

Answer:

Answer is 9

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) This is a binomial distribution.

p = probability it is defective = 3% = 0.03, q = 1 - p = 1 - 0.03 = 0.97

This is a binomial distribution is given by the formula:

[tex]P(x)=C(n,x)*p^xq^{n-x}[/tex]

But n = 70

[tex]P(x=0)=C(70,0)*0.03^0*(0.97)^{70}=0.1186[/tex]

b) n = 102. Hence there can be 2 defective components, hence:

[tex]P(X\leq2)=P(X=0)+P(X=1)+P(X=2)=C(102,0)*0.03^0*(0.97)^{102}+C(102,1)*0.03^1*(0.97)^{102-1}+C(102,2)*0.03^2*(0.97)^{102-2}=0.0447+0.1441+0.2204=0.4062[/tex]

c) n = 105, there can be 5 defective products:

[tex]P(X\leq2)=P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)=C(102,0)*0.03^0*(0.97)^{102}+C(102,1)*0.03^1*(0.97)^{102-1}+C(102,2)*0.03^2*(0.97)^{102-2}+C(102,3)*0.03^3 *(0.97)^{102-3}+C(102,4)*0.03^4*(0.97)^{102-4}+C(102,5)*0.03^5*(0.97)^{102-5}=0.0447+0.1411+0.2204+0.2273+0.174+0.1054=0.913[/tex]

Answer:

13.75

Step-by-step explanation:

Slash and dash.  turn the both minuses into positives and add like normal.  6.5 plus 7.25 equals 13.75.

Answer:

-7

_____

because

2x+30=-2x+2

is

4x+30=2

which is

4x=-28

then

x=-7

Answer:

[tex]x=18[/tex]

Step-by-step explanation:

[tex](4x-11)\\(2x+25)[/tex]

According to the Alternate Exterior Angles Theorem, "when two lines are cut by a transversal, the resulting alternate exterior angles are congruent."

This means that the two expressions above are to be set equal to each other because they are representative of two alternate exterior angles, which are congruent:

[tex]4x-11=2x+25[/tex]

Add [tex]11[/tex] to both sides of the equation:

[tex]4x=2x+36[/tex]

Subtract [tex]2x[/tex] from both sides of the equation:

[tex]2x=36[/tex]

Divide both sides of the equation by the coefficient of [tex]x[/tex], which is [tex]2[/tex]:

[tex]x=18[/tex]

~

Check your work by substituting [tex]18[/tex] for [tex]x[/tex] in the initial equation:

[tex]4(18)-11=2(18)+25[/tex]

[tex]61=61[/tex]

It's correct!

Answer:

18

Step-by-step explanation:

From the given figure, we can see that angle (4x - 11) will be equal to angle 1 since they are corresponding angles

We notice that angle 1 is vertically opposite to angle (2x + 25)

Hence,

angle (4x - 11) = angle 1 = angle (2x + 25)

So, we can say that angle (4x - 11) = angle (2x + 25)

Now, solving for x:

4x - 11 = 2x + 25

2x = 36

x = 18

Answer:

B and C

Step-by-step explanation:

A linear graph, that is a graph showing a straight line connecting the points plotted, shows a proportional relationship between two variables quantities if it cuts across the point of origin at (0, 0).

Graph A represents a proportional relationship between x and y variables, because the line that connects the points on the graph is a straight line, and also intercepts at (0, 0).

Graph B is a straight line graph, however, it does not intercepts the point of origin (0, 0). Graph B cannot represent proportional relationship.

Graph C is not a linear graph. If you try connecting the points together by drawing a line, the line would not be a straight line. Also, the line of the graph does not intercept at (0, 0). Therefore, it is safe to conclude that graph C does not represent a proportional relationship.

Graph D is a straight line graph. The rate of change between any two points on the lines of both graphs would be constant and the same all through, as the line of the graph intercepts at the point of origin, (0, 0). This connotes a proportional relationship.

Answer:

Step-by-step explanation:

its 27/35, so 27/1 * 1/35

The equivalent expression is obtained by changing the division sign to multiplication and taking the reciprocal of the denominator. Hence, we have 3/5 × 9/7 = 27/35

Reciprocal of denominator = 1 ÷ 7/9 = 9/7

Therefore, change the division operator to multiplication and use the reciprocal of the denominator.

3/5 ÷ 7/9 = 3/5 × 9/7

Hence, we have 3/5 × 9/7 = 27/35.

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Answer:

B. 64

Step-by-step explanation:

1×8=8

2×8=16

3×8=24

4×8=32

5×8=40

6×8=48

7×8=56

8×8=64

There will be 64 crayons in 8 boxes.

9514 1404 393

Answer:

Step-by-step explanation:

Let x, y, z represent the numbers of A330, B767, and B787 aircraft to order, respectively. The problem statement suggests 3 equations:

  330x +270y +240z = 6750 . . . . . total seats

  250x +200y +250z = 5550 . . . . . total cost (millions)

  2x -y -z = 0 . . . . . . . . . . . . . . . . . . . ratio of orders

__

These can be solved by a variety of methods, including on-line equation solvers. If you want to do it by hand, substitution can help.

First divide by common factors:

  11x +9y +8z = 225

  5x +4y +5z = 111

Write an expression for z and substitute:

  z = 2x -y

  11x +9y +8(2x -y) = 225   ⇒   27x +y = 225

  5x +4y +5(2x -y) = 111   ⇒   15x -y = 111

Adding the second of these to the first gives ...

  (27x +y) +(15x -y) = (225) +(111)

  42x = 336 . . . simplify

  x = 8 . . . . . . . . divide by 42

  15(8) -111 = y = 9

  z = 2(8) -9 = 7

The solution to the equations is (x, y, z) = (8, 9, 7).

The order should be for 8 A330s, 9 B767s, and 7 B787s.

Answer:sum: -1/6

Step-by-step explanation:

Answer:10x+y+2xy^2-4x^2-4x?y[(-4,-2).(-4x+y)+10

Step-by-step explanation:

Answer:

[tex]7x + 10 + x + 20 + 2x \\ 7x + x + 2x + 10 + 20 \\ 10 x + 30 \\ x = \frac{30 }{10} \\ x = 3 \\ (7x + 10) = 7 \times 3 + 10 = 31 \\ (x + 20) = 3 + 20 = 23 \\ (2 \times 3) = 6[/tex]

Step-by-step explanation:

Please mark as brainliest

Answer:

25

Step-by-step explanation:

common denominator is 10, so 4/10 plus 5/10 plus 1/10 is 1x. 6 minus 1 is 5. 1x+5 is 26. 1x=25 x=25

Answer:

85

Step-by-step explanation:

let ,

17=17x

23=23x

now,

17x+23X=200

40x=200

x=200÷40

x=5

then,

17x=17×5=85

Answer:8023

Step-by-step explanation:

Answer:  95%

Step-by-step explanation:

mean = 100, standard deviation (sd) = 8

mean ± 1 sd = z-score of 1  which is 68%

100  ± 8 = 92 to 108

mean ± 2 sd = z-score of 2  which is 95%

100  ± 2(8) = 84 to 116

mean ± 3 sd = z-score of 3  which is 99.7%

100  ± 3(8) = 76 to 124

The internet speeds are between 84 and 118 which is 2 standard deviations from the mean, which is 95% of their internet customers.

Answer:

17

Step-by-step explanation:

the answer above me is wrong and silly how are you supposed to get a 17.6 rides makes no sense

The greatest number of rides you can go on at the carnival will be 17.6.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

A carnival charges $6 for admission and $2.50 per ride. You have $50 to spend at the carnival.

Let x be the number of rides.

Then the equation is given as,

2.50x + 6 = 50

Simplify the equation, then we have

2.5x + 6 = 50

2.5x = 44

x = 17.6

Thus, the greatest number of rides you can go on at the carnival will be 17.6.

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Answer:

option B...for every headband there are two hair ties

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

The given statement can be modelled to a equation as -

f(x) = x² - 6.

Given is the statement - the difference of a number squared and six.

The given statement can be modelled as a equation as follows. Assume the number to be [x]. Then, we can write -

f(x) = x² - 6

Therefore, the given statement can be modelled to a equation as -

f(x) = x² - 6.

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The number line which the points representing negative five and one over two (-5 1/2) and +2 would be on is: D. Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed between the 5th and 6th tick marks to the left of 0. A point labeled T is placed on the 2nd tick mark to the right of 0.

In Mathematics, a number line can be defined as a type of graph that has a graduated straight line and comprises both positive and negative numbers that are placed at equal intervals along its length.

Generally speaking, a number line primarily decreases in numerical value towards the left and increases in numerical value towards the left.

Note: Each interval on this number line represents 1 unit.

Next, we would add the given numbers together in order to determine the distance between these points:

Distance = -5 1/2 + 2

Distance = -11/2 + 2

Distance = -7/2 or -3.5 units.

In conclusion, a distance of -7/2 or -3.5 units is shown in the number line shown in the image attached below.

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c(2) = 8

Hi there !

c(x) = 4x + 2

replace x = 2

c(2) = 4×2 + 2

= 8 + 2

= 10

Good luck !

Answer:

LOL WHAT

Step-by-step explanation:

Answer:

Yes, this is true

Step-by-step explanation:

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