A Pew Research study of 4726 randomly selected U.S. adults regarding scientific human enhancements, found that approximately 69% of the sample stated that they were worried about brain chip implants being used for improving cognitive abilities.

Required:
a. Show that the necessary conditions (Randomization Condition, 10% Condition, Sample Size Condition) are satisfied to construct a confidence interval. Briefly explain how each condition is satisfied.
b. Find the 90% confidence interval for the proportion of all U.S. adults that are worried about brain chip implants used for improving cognitive abilities.
(To show your work: Write down what values you are entering into the confidence interval calculator.)
c. Briefly describe the meaning of your interval from part (b).

Answer:

27

reason:

did it recently

Answer:

170 yards

Step-by-step explanation:

1:10

2:20

3:30

4:40

5:50

6:60

7:70

8:80

9:90

10:100

11:110

12:120

13:130

14:140

15:150

16:160

17:170

or you could just use fractions or find the formula

the formula for this equation: number of yards = number of inches times ten

Answer: option D

Step-by-step explanation:

Given equation:

P = 6 w + 8 [eq1]

l=2w+4 [where l is length]

using eq1 we have:

6w=P-8

w=(P-8)/6

hence  option D

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9514 1404 393

Explanation:

Use the identities ...

  csc(x) = 1/sin(x)

  cot(x) = cos(x)/sin(x)

__

  \(\csc(x)(\sin(x)+\cos(x))=1+\cot(x)\\\\\dfrac{1}{\sin(x)}(\sin(x)+\cos(x))=1+\cot(x)\\\\\dfrac{\sin(x)}{\sin(x)}+\dfrac{\cos(x)}{\sin(x)}=1+\cot(x)\\\\1+\cot(x)=1+\cot(x)\)

Answer:

30+15+12+3=  60

for mammal 30/60=0.50%

reptile 15/60=0.25%

fish  12/60= 0.20%

bird 3/60=0-05%

i hope that helps

Check the picture below.

The Venn diagram for (D ⋃ E) ⋃ F will be the ovarlapped region of D,E and F.

To represent the sets D, E, and F in the Venn diagram, we first construct three overlapping circles. Then, beginning with the innermost operation and moving outward, we shade the regions corresponding to the set operations in the expression.

We shade the area where the circles for D and E overlap because the equation (D ⋃ E)  denotes the union of the sets D and E. All the elements in D, E, or both are represented by this area.

The union of (D ⋃ E) with F is the next step. This indicates that we darken the area where the circle for F crosses over into the area that we shaded earlier. All the components found in sets D, E, F, or any combination of these sets are represented in this region.

The final Venn diagram should include three overlapping circles, with (D ⋃ E) ⋃ F shaded in the area where all three circles overlap.

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The given Quadrilateral D is enlarged by a scale factor of 3.5 to produce its image D'.

The given quadrilateral D and its image D' have corresponding side lengths of 6, 8, 6, 8 and 21, 28, 21, 28 respectively.  the type of dilation shown and the scale factor used, we can compare the corresponding side lengths.

We can see that all the corresponding side lengths of D and D' are multiplied by the same factor of 3.5. Since the scale factor is greater than 1, the dilation is an enlargement.

Therefore, the type of dilation shown is an enlargement and the scale factor used is 3.5.  the given quadrilateral D is enlarged by a scale factor of 3.5 to produce its image D'.

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Answer:

Step-by-step explanation:

Given the expression 3.2 + 2^3, we are to simplify and find the value of the expression.

Note that the dot means multiplication. The equation then becomes;

\(= 3*2 + 2^3\\\\= (3*2) + (2*2*2)\\\\= 6 + (4*2)\\\\= 6 + 8\\\\= 14\)

Hence the value of the expression is 14

Answer:

20

Step-by-step explanation:

percentage error = predictions - actual ÷actual × 100

error

\( \frac{82 - 52 \\ }{52} \times 100\)

=

20

Answer:

2pi/3

Step-by-step explanation:

Using the formula s = r(theta), where s is arc length, r is radius, and theta is the central angle,

s = 2(pi/3)

s = 2pi/3

By answering the presented question, we may conclude that  It is also necessary to examine the game's risk, as losing $1 is a possibility.

Probability theory is an area of mathematics that determines the likelihood that an event will occur or that a proposition is true. A probability is a number between 0 and 1, where 1 represents certainty and 0 represents how likely an event is to occur.

A probability is a numerical expression for the chance or likelihood that a given event will occur. Probabilities may either be stated as percentages ranging from 0% to 100% or as numbers ranging from 0 to 1. the proportion of occurrences among all equally likely alternatives that lead to a certain event relative to all conceivable outcomes.

To compute the expected value of this game, we must first compute the probability of each result and its associated payment.

The likelihood of picking a gold marble is 3/33, or 1/11. The reward for choosing a gold marble is $3.

The odds of picking a silver marble are 9/33, or 3/11. The reward for choosing a silver marble is $2.

The odds of picking a black marble are 21/33, or 7/11. The reward for choosing a black stone is -$1.

To determine the anticipated value, multiply each likelihood by the related reward and add the results:

Value expected = (1/11)($3) + (3/11)($2) + (7/11)(-$1)

$0.27 is the expected value.

This indicates that you can expect to win $0.27 on average for every game played. But, keep in mind that this is an average and you may not always win that much. It is also necessary to examine the game's risk, as losing $1 is a possibility.

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complete question - A bag contains 3 gold marbles, 9 silver marbles, and 21 black marbles. Someone offers to play this game: You randomly select one marble from the bag. If it is gold, you win $3. If it is silver, you win $2. If it is black, you lose $1.

what is the expected value if you play this game ?

Answer:

  4

Step-by-step explanation:

You are given a table of function values in which x increases by 2, and you want to know the factor by which f(x) increases when x increases by 1.

Let k represent the factor by which f(x) increases when x increases by 1. This means ...

  f(2) = k·f(1)

  f(3) = k·f(2) = k·(k·f(1)) = k²·f(1)

  64 = k²·4

  k² = 64/4 = 16

  k = √16 = 4

The output value increases by a factor of 4 as the input value increases by 1.

__

Additional comment

The table values would also be obtained if the factor of increase were -4. That is, f(x) = -(-4)^x would give the same table. In that case, f(x) would not be a continuous function.

Answer:

  (a)  twenty-eight ninths, square root of nineteen, cube root of eighty-eight

Step-by-step explanation:

When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.

The attachment shows the ordering, least to greatest, to be ...

  \(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)

__

Additional comment

We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.

One way to do the comparison is to convert these to values that need to have the same root:

  √19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)

  ∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)

The roots will have the same ordering as 19³ and 88².

Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...

  19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859

  88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744

Then the ordering is ...

  28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Answer:

the ordering is

28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Step-by-step explanation:

Answer:

b) y=3

Step-by-step explanation:

X=1.33

Y=4.9875;approx. 5.0

Answer:

(2/120=X/80)=Y/300

2×80=120×X

X=160/120

X=1.33

X/80=Y/300

But X=1.33

By substituting

X=1.33, We have that

1.33/80=Y/300

80×Y=1.33×300

80Y=399

Y=399/80

Y=399/80

Y=5.0 approx.

Answer:

1= B 2=A 3=B

Step-by-step explanation:

there I think that right

Answer:

Option (2)

Step-by-step explanation:

Given:

∠1 ≅ ∠3

To Prove:

∠AXD ≅ ∠CXB

Solution:

Given question is incomplete; find the complete question in the attachment.

            Statements                                                              Reasons

1). m∠1 ≅ m∠3 because m∠1 ≅ m∠3          1). Given

2). m∠1 + m∠2 = m∠CXB and                    

    m∠2 + m∠3 = m∠AXD                            2). Angle addition postulate

3). m∠1 + m∠2 = m∠AXD                             3). Because you can substitute

                                                                          m∠1 for m∠3

4). m∠CXB = m∠AXD                                   4).Transitive property of equality

5). ∠AXD ≅ ∠CXB

Therefore, Option (2) will be the correct option.

The equation of parabola will be;

⇒ y = 3x² - 2x + 5

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The table is shown for the equation of parabola.

Now,

Let the equation of parabola is,

⇒ y = ax² + bx + c

Since, The given points on table is satisfy the equation.

Hence, Substitute x = - 1, y = 10, we get;

⇒ y = ax² + bx + c

⇒ 10 = a (-1)² + b(-1) + c

⇒ 10 = a - b + c  ...(i)

Substitute x = 0, y = 5, we get;

⇒ y = ax² + bx + c

⇒ 5 = a (0)² + b(0) + c

⇒ 5 = c  ...(ii)

Substitute x = 2, y = 13, we get;

⇒ y = ax² + bx + c

⇒ 13 = a (2)² + b(2) + c

⇒ 13 = 4a + 2b + c  ...(iii)

Substitute c = 5 in (i), we get;

⇒ 10 = a - b + c

⇒ a - b + 5 = 10

⇒ a - b = 5

⇒ a = b + 5

Substitute a = b + 5 in (iii),

⇒ 13 = 4a + 2b + c

⇒ 13 = 4(b + 5) + 2b + 5

⇒ 13 = 4b + 20 + 2b + 5

⇒ 13 - 25 = 6b

⇒ - 12 = 6b

⇒ b = - 2

And,

⇒ a = b + 5

⇒ a = - 2 + 5

⇒ a = 3

Substitute all the values of a, b and c, we get;

⇒ y = ax² + bx + c

⇒ y = 3x² - 2x + 5

Thus, The equation of parabola is,

⇒ y = 3x² - 2x + 5

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Answer:

Cost: $247

Discount: $133

Step-by-step explanation:

Simply multiply 380 and 35% off together to get your answer:

380(1 - 0.35)

380(0.65)

247

To find the discount amount, simply subtract the 2 numbers to get your answer:

380 - 247 = 133

Answer:

The original number is -22

Step-by-step explanation:

We'll label our mystery number x.

2x + 36 = 4x/11
Multiply both sides by 11
4x = 22x + 396
Isolate x to one side (for this I subtract 4x from both sides, but you can also subtract 22x if you'd like)
0 = 18x + 396
Isolate x pt 2
18x = -396
Divide both sides by 18 to find your answer!
x = -22

Plug in to confirm

-44 + 36 = -88/11S
8 = 8

Equations are statements that have equal values, when compared

The true statement about \(x^2 + 10x = 11\) are x = 1 and x = -11

The equation is given as:

\(x^2 + 10x = 11\)

Rewrite as:

\(x^2 + 10x - 11 = 0\)

Expand

\(x^2 + 11x - x - 11 = 0\)

Factorize

\(x(x + 11) -1( x + 11) = 0\)

Factor out x + 11

\((x -1)(x + 11) = 0\)

Solve for x

x = 1 or x = -11

Hence, the true statement about \(x^2 + 10x = 11\) are x = 1 and x = -11

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The largest angle of the triangle is ∠C = 66°

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

Now , the measure of ∠A = measure of ∠B = x

And , the measure of ∠C = measure of ∠A + 9°

Substituting the values in the equation , we get

x + x + ( x + 9 ) = 180

On simplifying the equation , we get

3x + 9 = 180

Subtracting 9 on both sides of the equation , we get

3x = 171

Divide by 3 on both sides of the equation , we get

x = 57°

So , the measure of ∠A = 57°

Now , the measure of ∠C = 57 + 9 = 66°

Hence , the measure of ∠C of triangle is 66°

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Answer:

Step-by-step explanation:

Slope= - 6/7

Point (-4, 2)

b = y - (m)(x)

b = 2- (-6/7)(-4)

b = 2 - 24/7

b = -10/7

y = - 6/7x - 10/7

It takes approximately 27.02 years for the amount to reach Birr 56,398.433 with the given parameters.

To determine the number of years it takes for the amount to reach Birr 56,398.433 with a deposit of Birr 500 at the end of each six-month period and an interest rate of 6% compounded semi-annually, we can use the formula for compound interest:

\(A = P(1 + r/n)^{(nt)\)

Where:

A is the future value or the desired amount (Birr 56,398.433),

P is the principal or the deposit amount (Birr 500),

r is the interest rate per period (6% or 0.06),

n is the number of compounding periods per year (2 since it's compounded semi-annually), and

t is the time in years.

Substituting the given values into the formula, we have:

\(56,398.433 = 500(1 + 0.06/2)^{(2t)\)

Dividing both sides of the equation by 500, we get:

\(112.796866 = (1.03)^{(2t)}\)

Taking the natural logarithm of both sides to solve for t, we have:

\(ln(112.796866) = ln(1.03)^{(2t)\)

Using the property of logarithms, we can bring down the exponent:

\(2t \times ln(1.03) = ln(112.796866)\)

Dividing both sides by 2 \(\times\) ln(1.03), we can solve for t:

t = ln(112.796866) / (2 \(\times\) ln(1.03))

Evaluating this expression using a calculator, we find:

t ≈ 27.02.

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