a magazine provided results from a poll of 22 adults who were asked to identify their favorite pie. among the ​respondents, 57​% chose chocolate​ pie. if the confidence level is 98%, calculate the confidence interval for the proportion of adults who identify chocolate pie as their favorite pie.

Answer:

232

Step-by-step explanation:

all u gotta do here is plug in 40 here so:

0.145(40)x^2

0.145(1600)

f(x)= 232

Answer:

12

Step-by-step explanation:

Answer:

a)7, b)-40

Step-by-step explanation:

a) 5(x-1)=30

=>5x -5=30

=>5x=30+5

=>5x=35

=>x=35/5

so, x=7

b)3(x+10)-2(x-5)=0

=>3x+30-2x+10=0

=>x+40=0

so,x=-40

Answer:

n>-13

Step-by-step explanation:

so you subtract 4 from -9 then since your not multiplying or divinding by a negative you don't flip the sign

Answer:

n>-13

Step-by-step explanation:

✌️❤️✌️

..........

We can see here that:

A cube is a three-dimensional geometric shape that has six square faces, all of which are congruent (equal in size) and perpendicular to each other. It is a special type of rectangular prism where all edges have the same length, and all angles are right angles (90 degrees).

Cubes are commonly encountered in everyday life, such as dice, boxes, and Rubik's Cube puzzles. They have precise and uniform geometry, making them useful in various mathematical and engineering applications.

Learn more about cube on https://brainly.com/question/19891526

#SPJ1

The numbers in this problem are classified as follows:

More can be learned about rational and irrational numbers at brainly.com/question/5186493

#SPJ1

The sum of all the angles that are labeled in the given vertex is 294°

In a single vertex, the three angles around the vertex are given as 55°, 64°, and 175°

We have to find the sum of all the angles that are labeled in the given single vertex.

A vertex is a point two or more lines meets.

It is the corner of a geometrical shape.

Example:

A square has 4 corners so it has 4 vertexes.

A cube has 8 corners so it has 8 vertexes.

We will add all the different angles in the single vertex as shown in the figure below.

Let,

Angle A = 55°

Angle B = 64°

Angle C = 175°

The sum of all the angles that are labeled is:

= Angle A + Angle B + Angle C

= 55° + 64° + 175°

= 294°

The sum of all the angles that are labeled in the given vertex is 294°

Learn more about the vertex here:

https://brainly.com/question/12563262

#SPJ1

Answer:

X = 63

Step-by-step explanation:

Note that the measure of angle ACB for circle centered at point O is 18°.

A circle is a closed curved shape consisting of all points in a plane that are equidistant from a fixed center point.

∠AOB = 2 * ∠ACB (angle at center is twice the angle at circumference)

36 = 2 * ∠ACB

∠ACB = 81°

The measure of angle ACB for circle centered at point O is 18°

Learn more on circle at:

brainly.com/question/2972832

#SPJ1

Solution

The expressions that have the same solution with -4(6) are -1(24), - 2( 12) and -3(8)

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s).

The value of -4(6) is -24, to find the equivalent, we find other factors of 24, which are 1, 2, 3 , 8,12 and 24

therefore -1 × 24 = -24

-2 × 12 = -24

-3 × 8 = -24

therefore other equivalents of -4(6) are;

-2(12) , -1(24) and -3(8)

learn more about equivalent expressions from

https://brainly.com/question/2972832

#SPJ1

The amount of the tip that Jack gave to the waiter will be $9.42.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

Jack took Diane out to supper to praise her birthday. The all out bill for the supper was $62.80. Jack needs to tip the server precisely 15%.

The amount of the tip will be given as,

⇒ 15% of $62.8

⇒ 0.15 x $62.8

⇒ $9.42

The amount of the tip that Jack gave to the waiter will be $9.42.

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ1

Answer:

1/5 * 950

It is the third option.

Answer:

No Change

Step-by-step explanation:

If you add all of the numbers, you get 32.  When you divide it by how many numbers there were, you get 4.  When you add 4 to 32, you get 36 and since you added one more number, you need to divide 36 by 9, which still makes 4.

Answer:

Notebook $1.25

Binder $3.20

Step-by-step explanation:

5n + 6b = 25.45

4n + 8b = 30.6

Multiply the first equation by -4.

Multiply the second equation by 5.

Add the equations.

-20n - 24b = -101.8

20n + 40b = 153

16b = 51.2

b = 3.2

5n + 6(3.2) = 25.45

5n + 19.2 = 25.45

5n = 6.25

n = 1.25

Answer:

Notebook $1.25

Binder $3.20

X and Y are independent random variables, and a and b are constants is

Var(X-Y) = Var(X) + Var(Y)

Now, According to the question:

Let's Know:

Independent random variable:

Two random variables X and Y are independent if

E(XY) = E(X)E(Y).In case of n random variables the formula is extended as

\(E(X_1,X_2,X_3....X_n)=E(X_1)E(X_2)E(X_3)...E(X_n)\)

Are the random variables X and Y independent?

If X and Y are two random variables and the distribution of X is not influenced by the values taken by Y, and vice versa, the two random variables are said to be independent.

Hence, X and Y are independent random variables, and a and b are constants is

Var(X-Y) = Var(X) + Var(Y).

Learn more about Independent Random variable at:

https://brainly.com/question/29899075

#SPJ4

Answer:

$22,200 over all

Step-by-step explanation:

The compound interest after 20 years is $22700.

Compound interest is the interest you earn on interest. Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.

For the given situation,

The principle, p = $10,000

Rate of interest, r = 6.1% = 0.061

Compounded continuously, n = 1

Number of years, T = 20

The amount formula of compound interest is

\(A=p(1+\frac{r}{n} )^{T}\)

On substituting the above values,

⇒ \(A=10000(1+\frac{0.061}{1} )^{20}\)

⇒ \(A=10000(1.061)^{20}\)

⇒ \(A=32681.9\) ≈ \(32682\)

The compound interest can be calculated as

\(CI=A-P\)

⇒ \(CI=32682-10000\)

⇒ \(CI=22682\) ≈ \(22700\)

Hence we can conclude that the compound interest after 20 years is $22700.

Learn more about compound interest here

https://brainly.com/question/13155407

#SPJ2

The number of cartons that the oranges would fill in  Bob’s Citrus and Nursery would be 235 cartons.

The number of grapefruits in each bin would be 241 grapefruits per bin.

To find the number of cartons of oranges that would be filled, use the number of oranges that go into carton in Bob’s Citrus and Nursery and the number of oranges they have to pack. The formula would be:

= Number of oranges / Number of oranges per carton

= 5, 643 / 24

= 235 cartons

The same logic is applied to find the number of grapefruits that would be in each bin. If each bin would have an equal number of grapefruits, the number of grapefruits per bin would be:

= Number of grapefruits / Number of bins

= 4, 338 / 18

= 241 grapefruits per bin

Find out more on grapefruits at https://brainly.com/question/7943300

#SPJ1

The amount earned is $88,709.68

It is a payroll tax that is paid on wages earned by employees.

We have,

We will assume the current Social Security tax rate for employees as 6.2%.

Now,

The amount earned.

= 5,500 / 6.2%

= 5500 / 0.062

= $88,709.68

Thus,

The amount earned is $88,709.68

Learn more about social security tax here:

https://brainly.com/question/18268724

#SPJ1

Step-by-step explanation:

y=|x| is a vee graph starting at (0,0)

y=|x| - 3 is a vee graph starting (0,-3)

see attachment

Answer:

30 feet

Multiply

For every 1 mm on the map there are 200 miles of actual distance (third option)

8 cm, 26.8 cm, and 58 cm (last option)

Step-by-step explanation:

Question 1:

An airplane is 180 feet long. Blake makes a scale model of the airplane at 1:60  of its actual size how long is the model?

If the model is scaled down by 1/60, then the model is 60 times smaller than the actual airplane. Set the model size as "x" and so we can write this ratio.

1 / 60 = x / 180

Cross multiply (multiply 60 and x, and 180 and 1)

60x = 180

x = 3 feet

Question 2:

To produce an enlarged or reduced measure you ____ the scale.

In order to find the measure, you multiply it by the scale factor.

Question 3:

A scale on a map is 1 mm: 200 miles

The question tells us that for every 1 mm, there are actually 200 miles. So the answer is the first option, For every 1 mm on the map there are 200 miles of actual distance.

Question 4:

What are the new dimensions if we expand the triangle below by a factor of 4.

If we multiply by the scale factor, 4, we get

2 * 4 = 8

6.7 * 4 = 26.8

14.5 * 4 = 58

Thus, the answer is 8 cm, 26.8 cm, and 58 cm (last option)

I hope this helps! Feel free to ask any questions!

Half of 30ml is 30ml divided by 2, this is:

Half of 30ml is 15ml.

The quality which a taylor polynomial have that the tangent line does not necessarily have is that Taylor polynomial has a far better approximation of f(x) near x = a than is the tangent line

Taylor polynomial function simply refers to an infinite sum of terms that are expressed in terms of the function's derivatives at a single point.

So therefore, the quality which a taylor polynomial have that the tangent line does not necessarily have is that Taylor polynomial has a far better approximation of f(x) near x = a than is the tangent line

Learn more about Taylor polynomial function:

https://brainly.com/question/2533683

#SPJ4

Answer: You would pay $7.97 for the bagels.

Step-by-step explanation:

(Price per Dozen * Amount) - Coupon = Price of Bagels

(5.98 * 1.5) - 1 = Price of Bagels

8.97 - 1 = Price of Bagels

Price of Bagels = $7.97

Answer:

B

Step-by-step explanation:

First you will get 4dz

Answer:

B

Step-by-step explanation:

At least i think its b since i read this recently

a) The probability that an individual distance is greater than 210.90 cm is of: 0.047 = 4.7%.

b) The probability that the mean for 20 randomly selected distances is greater than 196.20 cm is of: 0.7673 = 76.73%.

c) The normal distribution can be used as the underlying distribution is normal.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

The Central Limit Theorem can be applied when at least one of these conditions is true:

The mean and the standard deviation for this problem are given as follows:

\(\mu = 197.5, \sigma = 8\)

The probability that an individual distance is greater than 210.90 cm is one subtracted by the p-value of Z when X = 210.90, hence:

Z = (210.9 - 197.5)/8

Z = 1.675

Z = 1.675 has a p-value of 0.9530.

1 - 0.9530 = 0.047 = 4.7%.

For 20 distances, the standard error is of:

\(s = \frac{8}{\sqrt{20}} = 1.79\)

Hence the probability that the mean for 20 randomly selected distances is greater than 196.20 cm is one subtracted by the p-value of Z when X = 196.2, considering the standard error calculated as follows:

Z = (196.2 - 197.5)/1.79

Z = -0.73

Z = -0.73 has a p-value of 0.2327.

1 - 0.2327 = 0.7673 = 76.73%.

More can be learned about the normal distribution at https://brainly.com/question/25800303

#SPJ1