Suppose the U.S. president wants to estimate the proportion of the population that supports his current policy toward revisions in the health care system. The president wants the margin of error to be 0.02. Assume a 90% level of confidence. The president’s political advisors found a similar survey from two years ago that reported that 61% of people supported health care revisions

Answer:

10 Inches

Hope it helps, have a fantastic day.

Step-by-step explanation:

The Circumference of a circle can be displayed by this formula:

[tex]C = 2\pi r[/tex]

[tex]C[/tex] is the circumference, and [tex]r[/tex] is the radius.

So just plug in 31 for [tex]C[/tex], and simplify:

[tex]31 = 2\pi r[/tex]

Because the question is asking for the diameter, we only need to divide both sides by pi, as [tex]2r[/tex] is the same thing as diameter.

[tex]9.87 = 2r[/tex] (rounded to the nearest hundredth)

We can even rewrite [tex]2r[/tex] as [tex]d[/tex], which stands for diameter, to make things a little simpler.

[tex]9.87 = d[/tex]

Now we just take 9.87, and round it to the nearest whole number, and we get 10. So your answer is 10 Inches.

Hope it helps, have a fantastic day.

The value for the test statistic and the p value on the test when the researcher wanted to see if different breeds of dogs will be x² = 0.9421 and 0.05 < p value < 0.10.

From the information given, the null hypothesis is that the variables have no difference while the alternative hypothesis is that they have a difference.

The degree of freedom will be:

= (3 - 1) × (3 - 1)

= 4

The critical value is 9.4877. In this case, the p value is greater than the significance level. Therefore, we fail to reject the null hypothesis.

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Answer:

Step-by-step explanation:

From Khan

Answer:

No, it will not

Step-by-step explanation:

as square of 2 is 4

Answer:

Step-by-step explanation:

1) Reagrupar términos.

3(5x + 1) = 15x^3

2) Divide ambos lados por tres.

5x + 1 = 5x^3

3) Mueva todos los términos a un lado.

5x + 1 - 5x^3 = 0

4) No se encontró ninguna raíz algebraicamente. Sin embargo, las siguientes raíces se encontraron por métodos numéricos.

x=−0.878886,−0.209148,1.088033

See the file attached!!

Hope it helps:)

what are you saying?

Step-by-step explanation:

i dont kno if you are a thailander or not???

Answer:

95

Step-by-step explanation:

Surface Area :

⇒ Area (4 triangle faces) + Area (square base)

⇒ 4 x 1/2 x 5 x 7 + (5)²

⇒ 2 x 35 + 25

⇒ 70 + 25

⇒ 95 square centimeters

Answer:

80 shoes

Step-by-step explanation:

sin e a pair is 2 shoes,

Shreya has 40×2shoes

= 80 shoes

therefore, Shreya has 80 shoes

40 x 2

=80 shoes

(We now have school systems which force students to study maths and, through enough exposure, our brains can learn to think mathematically. But if those skills cease to be used, the human brain will quickly return to factory settings...- Matt Parker )

A composite transformation is the production of the image of a figure through two or more transformation

The set of transformations that could be applied to rectangle ABCD to create rectangle A'B'C'D' is the second option;

The reason the above selected option is correct is as follows:

Known parameters:

The given coordinates of the vertices of the preimage of the rectangle ABCD are; A(-4, 2), B(-4, 1), C(-1, 1), and D(-1, 2)

The given coordinates of the vertices of the image of the rectangle ABCD, which is rectangle A'B'C'D' are; A'(-4, -2), B'(-4, -1), C'(-1, -1), and D'(-1, -2)

Solution:

The form of the ordered pair of the vertices of the pre-image is negative value for x, positive value for y, which can be written as (-x, y), where x, and y, are positive numbers

The form of the ordered pair of the vertices of the image is (-x, -y)

The location of a point (-x, y) following a reflection over the y-axis is the point (x, y)

The location of a point (x, y) following a 180° rotation is the point (-x, -y)

Therefore, the set of transformations that can be applied to (-x, y), to create (-x, -y), is a reflection over the y-axis, followed by a rotation of 180

Which gives;

Therefore, the correct option is; Reflected over the y-axis and rotated 180°

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Answer: B is your correct answer!

Step-by-step explanation:

Reason:

Yes you should get a new phone, but you should not keep using the same card. Whoever has your phone (assuming anyone found it or stole it) may be able to gain access to the phone, and use the card fraudulently. You should call the credit card company and cancel that card, and get a new card. This is why choice A is eliminated. Choices C and D are eliminated as well so that you protect your privacy from any potential thieves.

Answer:

should be 1305 yd^2

Step-by-step explanation:

to get the surface area of one of the 3 recanglular sides take 24 x 15 to get 360 then muliply by 3 to get 1080 since all the recanglular sides are the same then do 15 x 15 to get both of the triangle sides to get 225 since the equation is 1/2 B x H then add them together

Answer:

$19.29

Step-by-step explanation:

there you have it

The terms a1, a2 and a3 do not have a common difference, and the value of a1 in the geometric sequence is 10/9

The arithmetic sequence is given as:

a₁, a₂ and a₃

The geometric sequence is given as:

a₄, a₇ and a₁₂

The common ratio of a geometric sequence is:

[tex]r = \frac{T_2}{T_1}[/tex]

So,we have:

[tex]\frac{a_7}{a_4} = \frac{a_{12}}{a_7}[/tex]

Cross multiply

[tex]a_{12} * a_4 = a_7 * a_7[/tex]

Given that a7 = 30, the equation becomes

[tex]a_{12} * a_4 = 30 * 30[/tex]

Evaluate the product

[tex]a_{12} * a_4 = 900[/tex]

Rewrite as:

[tex]a_{4} * a_{12} = 900[/tex]

Express 900 as 10 * 90

[tex]a_{4} * a_{12} = 10 * 90[/tex]

By comparison, we have:

a₄ = 10 and a₁₂ = 90

This means that the geometric sequence is:

10, 30, 90 ---- it has a common ratio of 3

The nth term of a geometric sequence is:

[tex]a_n = ar^{n-1}[/tex]

So, we have:

[tex]a_7 = ar^6[/tex]

[tex]a_4 = ar^3[/tex]

Substitute values for a7 and 14

[tex]ar^6 = 30[/tex]

[tex]ar^4 = 10[/tex]

Divide both equations

[tex]r^2 = 3[/tex]

Take the cube of both sides

[tex]r^6 = 27[/tex]

Substitute [tex]r^6 = 27[/tex] in [tex]ar^6 = 30[/tex]

[tex]a * 27 = 30[/tex]

Divide both sides by 27

[tex]a = \frac{10}{9}[/tex]

Hence, the value of a1 in the geometric sequence is 10/9

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Answer:

So, you must NOT draw a yellow marble on the first draw, a probability of 8/12. Then, you must NOT draw a yellow marble on the second draw, a probability of 7/11. Then you MUST draw a yellow marble on the third draw, a probability of 4/10. So, the three required events, taken together, look like this in lowest terms:

2/3 * 7/11 * 2/5 = 28/165

HOPE IT HELPS!!

Answer:

x = 25

Step-by-step explanation:

Solving

Answer:

$7,657.69

Step-by-step explanation:

To find this, use the interest formula:

[tex]A = P(1+r)^{t}[/tex]
A = final amount

P = principal amount ($6,000)

r = interest rate (5% or 0.05)

t = time (5 years)

Given this formula, we can plug in the information and find how much Aiden has after 5 years:

[tex]A = 6000(1+0.05)^{5}[/tex]

[tex]A = 6000(1.05)^{5}[/tex]

[tex]A = 7657.69[/tex]

Therefore, after 5 years Aiden will have $7,657.69.

I hope this helps! Good luck!

Answer:

x is -1  

Step-by-step explanation:

-4 multiplied by x is -4x, then -4 x 3 is -12, which makes the problem -4x + -12  and you need to do the opposite so  add 4, -4x cancels out and then add 4 to -12 which is 8x

Based on the rate the bird is flying and the distance above your head, the speed of change in the angle of elevation is 0.018 rad/sec.

First use the Pythogoreous theorem to find the distance between you and the bird at 80 m:

= √(60² + 80²)

= √(3,600 + 6,400

= 100 m

Cos² = 80² / 100²

= 16 /25

Differentiate this to get:

= ((-60 x 16/25) / 80²) x (-3)

= 9/500

= 0.018 rad/sec

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Answer:

i think the answer is X, because the elements of both X and Y are in X

Answer:

42

Step-by-step explanation:

You turn the percentage into a decimal, 25%=0.25

then you multiply 0.25 to 168

Then you get 42

0.25 x 168 = 42

Hope this helps <3

Answer: There is no zeros for this equation.

Step-by-step explanation: First, we use the quadratic formula and plug in values. -2 plus or minus the square root of 2^2 - 4*5*8.

The square root will be -39 (negative 39.) This is impossible without using complex numbers (you cannot use complex numbers to get a zero.) Negative square roots are not real. Thus, this equation has no real solution.

[tex] \bold{\underline{\underline{\underbrace{Answer}}}} [/tex]

x = a and y = b

Step-by-step explanation:

The value of x and y

⠀

ax + by = a² + b² (equation 1)

bx - ay = 0 (equation 2)

⠀

{Taking equation 2}

[tex] \sf bx - ay = 0 [/tex]

{Taking ay on RHS}

[tex] \sf bx = ay[/tex]

{Dividing both sides by a}

[tex] \sf \frac{bx}{a} = y(equation \: 3)[/tex]

{Now substituting the equation 3 in equation 1}

[tex] \sf ax + b( \frac{bx}{a} ) = {a}^{2} + {b}^{2} \\ \\ \sf ax + \frac{ {b}^{2} x}{a} = {a}^{2} + {b}^{2} [/tex]

{Taking LCM on LHS}

[tex] \sf \frac{ {a}^{2}x + {b}^{2} x }{a} = {a}^{2} + {b}^{2} \\ \\ \sf \frac{x( {a}^{2} + {b}^{2}) }{a} = ( {a}^{2} + {b}^{2} )[/tex]

{Dividing by (a² + b²) both sides}

[tex] \sf \frac{x}{a} = 1 \\ \\ \green{\boxed {\tt{x = a} } }[/tex]

{Now substituting the value of x in equation 3}

[tex] \sf \frac{ba}{a} = y \\ \\ \green {\boxed{ \tt{y = b}} }[/tex]

Answer:

2¹² Bytes

Step-by-step explanation:

One kilobyte is 2¹⁰ bytes.

File size of the email is 4 kilobytes. That is 4 times 1 kilobyte. Therefore multiply with 4.

4 KB = 4 × 2¹⁰ B

Now notice that you can rewrite 4 like 2².

4 KB = 2² × 2¹⁰ B

Use exponental rule (Product Rule):

[tex]a^x + a^y = a^{x+y}[/tex]

4 KB = 2²⁺¹⁰ B = 2¹² B

Answer:

0.3386 = 0.339 (rounded).

Step-by-step explanation:

It is the binomial type probability distribution.

The number of trial n= 3; the probability of the success trial is  0.16,  and the number of success trial k = 1.

Step-by-step explanation:

first of all, all answer options are basically wrong, because an area is always measured in units² (and not just in units).

the blue colored area is the area of the whole square minus the area of the circle.

the side length of the square is 2 times the radius of the circle (the diameter) : 2×12 = 24 units.

so, the area of the square is

24² = 576 units²

the are of the circle is

pi×r² = pi×12² = 144pi units²

so, the blue area is

576 - 144pi = 123.6106579... ≈ 124 units²

therefore, D is the right answer.

Answer:

Step-by-step explanation:

ABC is an isosceles triangle

Then

m∠ABC = m∠ACB

The sum of the interior angles of a triangle is equal to 180°

Then

m∠ABC + m∠ACB + m∠BAC = 180°

Then

m∠ABC + m∠ACB + 45 = 180°

Then

2 × m∠ABC = 180°

Then

m∠ABC = (180−45)÷ 2 = 67.5°

Law of SIN :

[tex]\frac{9}{\sin \left( 67.5\right) } =\frac{BC}{\sin \left( 45\right) }[/tex]

[tex]BC=\frac{9}{\sin \left( 67.5\right) } \times \sin \left( 45\right) ==6.888301782572[/tex]

Answer:

The question is asking you to subtract 516 from 1,000 to find b.

[tex]1,000 - 516 = 484[/tex]

Therefore, b = 484

Answer:

Step-by-step explanation:

The most repeated number is 1,

Therefore, 1 is the anser