A national survey of 1516 respondents reached on land lines and cell phones found that the percentage of adults who favor legalized abortion has dropped from 55% a year ago to 45%. The study claimed that the error
atributable to sampling is 4 percentage points. Would you claim that a majority of people are not in favor of legalized abortion?

Answer:

The two minimum numbers = 5, 5

Step-by-step explanation:

Let the first number = x

let the second number = y

Their sum: x + y = 10

Sum of their squares:  = x² + y²

y = 10 - x

f(x) = x² + (10 - x)²

f(x) = x² + 100 - 20x  + x²

f(x) = 2x² - 20x  +  100

Find the derivative of f(x), to obtain the critical points;

f'(x) = 4x - 20

4x - 20 = 0

4x = 20

x = 5

The value of y is calculated as;

y = 10 - x

y = 10 - 5

y = 5

The two minimum numbers = 5, 5

Answer:All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle.

Hope it helps...

Answer:

Step-by-step explanation:

13. Find the total number of coinsss

8+4+3+1

=16

First pick:

1/16

Second pick:

1/15

So I guess your chances are 1/16+1/15 ?

=31/240

hopefully

14.

add the sockss

3+4+3

= 10

First pick

1/10

Second Pick

1/9

Add them:

19/90

Forgive me if this is wrong

:,)

Using the Central Limit Theorem, the false statement is given by:

B. [tex]\mu[/tex] is the sample mean. It is used to estimate the population mean.

It states that, for a normally distributed random variable X, with population mean [tex]\mu[/tex] and population standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard error [tex]s_E = \frac{\sigma}{\sqrt{n}}[/tex].

If we have the standard deviation for the sample s, the Central Limit Theorem can also be applied.

The sample mean is given by [tex]\overline{x}[/tex], hence option B is false.

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Answer:

20%

Step-by-step explanation:

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Answer:

D

Step-by-step explanation:

But basically, one by one you try moving the terms out of the radical.

75 is also 25 * 3 and since 25 has a perfect square root of 5 that goes out and 3 stays inside the radical.

x^3 is also x^2 * x and since x^2 has a perfect square root which is just x that goes outside while the remaining x stays inside.

y^9 is also y^8 * y and since we move variables out the radical in twos y^ goes outside the radical and y stays inside alone.

Finally, z is just z it can't be taken out so it stays inside the radical.

Hope that helps!

Answer: 120m

Step-by-step explanation:

Let the height of the building be represented by x.

Since the height of a tower is 15m more than tiwce the height of a building, the height of the tower will be:

= (2 × x) + 15

= 2x + 15

Since the tower is 255m tall, therefore,

2x + 15 = 255

2x = 255 - 15

2x = 240

x = 240/2

x = 120

The height of the building is 120m

Answer:

3/20

Step-by-step explanation:

Set up the quotient:

6!3!

------

2!5!

6! is equivalent to 6*5!, and so we have:

 6*5!3!                                     6*5!3!             6*3*2*1                   6

------------   which reduces to -------------  or  -------------------  or  ------------

   2!5!                                         2!5!              2*5*4*3*2*1          (2)*5*4  

                                                                  3

This final result simplifies further to ---------------

                                                                  20

Answer:

a) [tex]f(x) = \frac{1}{25.9}[/tex]

b) 0.2046 = 20.46% probability the driving distance for one of these golfers is less than 290 yards

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

The probability of finding a value between c and d is:

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

The probability of finding a value above x is:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

The probability density function of the uniform distribution is:

[tex]f(x) = \frac{1}{b-a}[/tex]

The driving distance for the top 100 golfers on the PGA tour is between 284.7 and 310.6 yards.

This means that [tex]a = 284.7, b = 310.6[/tex].

a. Give a mathematical expression for the probability density function of driving distance.

[tex]f(x) = \frac{1}{b-a} = \frac{1}{310.6-284.7} = \frac{1}{25.9}[/tex]

b. What is the probability the driving distance for one of these golfers is less than 290 yards?

[tex]P(X < 290) = \frac{290 - 284.7}{310.6-284.7} = 0.2046[/tex]

0.2046 = 20.46% probability the driving distance for one of these golfers is less than 290 yards

Answer: With that assumption, we have a square, whose area is given by the formula Asquare=a2, and two semicircles. The distance D is simply the square's diagonal. The area of each semicircle is given by the formula Asemicircle=π*r2/2. then you will get your answer!

Answer:

Step-by-step explanation:

A circle centered in [tex]P(x_o,y_o)[/tex] an radius [tex]r[/tex] has a equation:

[tex](x-x_o)^2+(y-y_o)^2=r^2[/tex]

So, your equation wold be:

[tex](x-0)^2+(y-0)^2=8^2\Rightarrow x^2+y^2=64[/tex]

The correct circle's equation with radius 8 is,

⇒ x² + y² = 64

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

This circle is centered at the origin, and the length of its radius is 8.

Since, The general equation of circle with center (h, k) and radius r is,

⇒ (x - h)² + (y - k)² = r²

Here, Center = (0, 0)

Radius = 8

Hence, The correct circle's equation with radius 8 is,

⇒ (x - h)² + (y - k)² = r²

⇒ (x - 0)² + (y - 0)² = 8²

⇒ x² + y² = 64

Thus, The correct circle's equation with radius 8 is,

⇒ x² + y² = 64

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Answer:

x =17

Step-by-step explanation:

The angles are supplementary so they add to 180

6x-20 + 6x - 4 = 180

12x -24 = 180

Add 24 to each side

12x-24+24 = 180+24

12x = 204

Divide by 12

12x/12 =204/12

x = 17

Answer:

24 1/2 cups

Step-by-step explanation:

we can change 6 1/8 into 49/4

there are 2 cups in 1 quart

now we can set up a proportion:

2÷1 = 'c'÷ 49/4

cross-multiply to get:

49/4 × 2 = c

49/2 = c

c = 24.5

Answer:

She bought

22 of the 52 cent stamps and

26 of the 23 cent stamps.

Step-by-step explanation:

Given :

Total stamp increase = 48

Let number of 52 cent stamp = x

Number of 23 cent stamp = 48 - x

The cost equation :

0.52*x + 0.23*(48-x) = 17.42

0.52x + 11.04 - 0.23x = 17.42

0.52x - 0.23x = 17.42 - 11.04

0.29x = 6.38

x = 6.38 / 0.29

x = 22

Hence,

She bought 22 ; 52-cent stamps

And (48 - 22) = 26, 23-cent stamps

Answer:

a = 117.3 cm²

Step-by-step explanation:

a = (1/2)∅r²

a = (1/2)(7π/6)(8²)

a = (1/2)(7 * 3.14159/6)(64)

a = 117.3 cm²

Let h be high temperature for today.

We are told that today high temperature will be at least 50 degrees. This means the high temperature will be greater than or equal to 50 degrees.

Let us represent this information by our inequality.

Therefore, our desired inequality will be .  

h [tex]\geq[/tex] 50 degrees

Answer:

The answer is "Approximately normal".

Step-by-step explanation:

sample size[tex]n=100[/tex]

Sample size [tex]n \geq 30[/tex]

It is because [tex]C \perp T[/tex] the sampling distribution of the sample means is approximately normal.

Answer:

B

Step-by-step explanation:

the slope is 0

the y intercept is ( 0,4 )

Answer:

The number of orders in is equal to the number of orders out in month 4 (April). It appears the solution represents the time at which warehouse shipments caught up with order quantities.

Step-by-step explanation:

For this table to make any sense, we have to assume that the year started with 3 orders in January, and that one order was shipped in January. Then the number of orders was 1 or 2 each month after that, and the number of orders shipped per month was 2 each month after that. That is, the tables represent year-to-date totals of orders in and out.

Alternate Interpretation

If the numbers here are actual orders in and out in each of the listed months, it appears the warehouse is getting better at shipping orders. That is, they are increasing the shipment rate by 2 orders a month each month. They will eventually ship enough to cover the total number of orders in (total of 20 by April), but total shipments through April only amount to 16 orders.

Answer:

Writing about two pages any topic that you want, such as story, project, event, idea, .etc.please Do not copy and paste from the Interne.

Answer:

It would be 53.1

Step-by-step explanation:

Vote branlyist Please...

The approximate angle of elevation from the point on the bottom of the pool where she touched to her entry point is; D:  53.1°

We are told that she dived into the pool that was 8 ft deep.

She touches the bottom with her hands 6 ft horizontally.

Thus, a triangle is formed here with 8 being the opposite side of the angle of elevation and 6 being the adjacent side of the triangle.

Using trigonometric ratios, we can say that;

θ = tan⁻¹(8/6)

θ = 53.1°

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Answer:

d 243

Step-by-step explanation:

The solution of given function is 243

A limit defined as the value which a function approaches as that function's inputs get closer and closer to some number

[tex]lim\ (3x-3)^\frac{5}{2} \\x\to 4[/tex]

[tex](3(4)-3)^\frac{5}{2}[/tex]

[tex](12-3)^\frac{5}{2}[/tex]

[tex](9)^\frac{5}{2}[/tex]

[tex](3^2)^\frac{5}{2}[/tex]

[tex]3^5[/tex]

243

Hence, the solution of given function is 243

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Given:

The two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].

To find:

The distance between given points.

Solution:

Plot the two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] randomly randomly on a coordinate plane, then form a right angle triangle as shown in the below figure.

Now, the hypotenuse is the distance between the two points.

[tex]\text{Perpendicular}=y_2-y_1[/tex]

[tex]\text{Base}=x_2-x_1[/tex]

Using Pythagoras theorem,

[tex]\text{Hypotenuse}^2=\text{Base}^2+\text{Perpendicular}^2[/tex]

[tex]d^2=(x_2-x_1)^2+(y_2-y_1)^2[/tex]

Taking square root on both sides, we get

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]        [Distance is always positive]

Therefore, the distance between the two points is [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]. It is also known as distance formula.

Answer:

[tex]Area = 138in^2[/tex]

Step-by-step explanation:

Given

[tex]L = 9; W =3; H =3\frac{1}{2}[/tex]

Required

The surface area

This is calculated as:

[tex]Area = 2(LW + LH + WH)[/tex]

So:

[tex]Area = 2(9*3 + 9*3\frac{1}{2} + 3*3\frac{1}{2})[/tex]

[tex]Area = 2(27 + 31\frac{1}{2} + 10\frac{1}{2})[/tex]

[tex]Area = 2*69[/tex]

[tex]Area = 138in^2[/tex]

Answer:

I think it is 65 because we can divide it by 5

Answer:

i think there is only one multiple which is 65

Answer:

1809 in²

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Area of a Circle Formula: A = πr²

Step-by-step explanation:

Step 1: Define

Identify

r = 24 in

Step 2: Find Area

Answer:

Area of circular table is 1,809 inches².

Step-by-step explanation:

Area of circular table is given by

Area = π r²

substitute the values

Area = 3.14 × ( 24 inches )²

evaluate the exponent

Area = 3.14 × 576 inches²

multiply the numbers

Area = 1,808.64 inches ²

Round

Area = 1,809 inches²

Answer:

It's 4 miles East from the store.

Step-by-step explanation:

6 miles east - 2 miles west = 4 miles East

Displacement for north and south should cancel out since they are equal to each other.