in a survey of 464 registered voters, 133 of them wished to see mayor waffleskate lose her next election. the waffleskate campaign claims that no more than 34% of registered voters wish to see her defeated. does the 98% confidence interval for the proportion support this claim? (hint: you should first construct the 98% confidence interval for the proportion of registered voters who wish to see waffleskate defeated.)

10 hours 55 minutes pm

Step-by-step explanation:

(10:55 pm)

The notation p(z < a) represents the probability that a standard normal random variable is less than a. This can be found using a standard normal distribution table or a calculator that provides a normal distribution function.

The probability that a standard normal random variable is less than a can also be expressed as P(Z < a), where Z is a standard normal random variable.

The probability that a standard normal random variable is greater than a can be found using the complement rule, which states that the probability of an event occurring is equal to 1 minus the probability of the event not occurring. Therefore, P(Z > a) = 1 - P(Z < a).

The probability that a standard normal random variable is equal to a is zero, as the standard normal distribution is continuous and has an infinite number of possible values.

The probability that a standard normal random variable is not equal to a can be found using the complement rule again. P(Z ≠ a) = 1 - P(Z = a), where P(Z = a) = 0 (as mentioned above). Therefore, P(Z ≠ a) = 1.

Let's break down each part of your question and provide an explanation for each term:

a. The notation p(z < a) refers to the probability that a standard normal random variable (Z) is less than a certain value (a). In a standard normal distribution (with a mean of 0 and standard deviation of 1), this represents the area under the curve to the left of the value 'a'. To find this probability, you can refer to a standard normal table or use a calculator with a normal distribution function.

b. The probability that a standard normal random variable is greater than a (p(z > a)) can be calculated by subtracting the probability that the variable is less than a from 1 (since the total probability is always 1): p(z > a) = 1 - p(z < a).

c. In a continuous probability distribution like the standard normal distribution, the probability that a standard normal random variable is equal to a specific value (p(z = a)) is always 0. This is because there are an infinite number of possible values, and the probability associated with each individual value is negligible.

d. The probability that a standard normal random variable is not equal to a (p(z ≠ a)) is essentially the complement of the probability that it is equal to a. Since p(z = a) is 0 in a continuous distribution, the probability that the variable is not equal to a is 1: p(z ≠ a) = 1.

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The frequency table shows that there is a relationship between buying a hot dog and buying a drink at a baseball game. The huge 70.2% is evidence of this.

The frequency table is meant to show the relationship between variables. Of all the values provided, the relationship with the highest percentage is 70.2%.

This shows that the number of people who purchased a hot dog while also purchasing a drink constituted the highest number. None of the figures come close to this one. So, there is a strong relationship between the variables.

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Answer:

120

Step-by-step explanation:

The number of friends is 5 and there are 5 seats only. So , we can find it out with the help of permutations ,

\(\implies ^n P_r = \dfrac{n! }{(n-r)!} \)

⇒ 5! / (5-5)!

⇒ 5! / 1!

⇒ 5!

⇒ 5 × 4 × 3 × 2 × 1

⇒ 120

Answer:b

Step-by-step explanation:

AB should be rotated by 180° or 360°.

Rotation can be defined as the motion of an object around an axis. It is a type of transformation that includes every point of a figure and rotates it by a specific number of degrees around a given point in a particular direction.

So, according to the given figure, if rotate the line AB, 180° clockwise or 360° clockwise, it will lie on AE.

Hence, AB should be rotated by 180° or 360°.

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Answer:

Beatz on demand

Step-by-step explanation:

because...

If line r through (1, 1) and (5, 7) is parallel to line s through (4, -2) and (x, y),

all the possible values of x and y are those values that  satisfy the equation 3x - 2y = 16.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

Given:

If line r through (1, 1) and (5, 7) is parallel to line s through (4, -2) and (x, y),

then their slopes are equal.

(7 -1)/(5 - 1) = (y + 2)/(x-4)

3/2 = (y + 2)/(x-4)

3x - 12 = 2y + 4

3x - 2y = 16.

Therefore,  all the values that satisfy the equation 3x - 2y = 16.

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The graph that models the piecewise function for the given situation is the first graph. That is option A.

Maximum limit is defined as the limit which is the largest possible level an object can get to.

Tom learnt that the cost for parking his car near the supermarket = $2 / 4 hours.

The time at which the maximum fee is reached = after 4 hours.

Therefore, from the chosen graph, the line started from $2 which is the parking charge.

After 4 hours the line stopped moving up but became parallel with line x, which shows the maximum fee limit has been attained.

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Answer:

The angles are adjacent (next to each other). Because they are adjacent, the angles equal 180 when added together. Therefore, X = 180-34. X = 146.

Hope this helps, and good luck with math! Have a great day/night :D

Answer: Caiden

Step-by-step explanation:

For Caiden, at the second minute, the water is already at 7 ounces. However, Bella is still at 8 ounces. And Caiden is drinking at a speed of 2.5 ounces per minute while Bella is drinking at a speed of 2 ounces per minute.

Hope that helped!

The given information is as follows:A random sample of 150 teachers in an​ inner-city school district found that​ 72% of them had volunteered time to a local charitable cause within the past 12 months.

The formula for calculating the standard error of sample proportion is given as:$$Standard\(\ error=\frac{\sqrt{pq}}{n}$$\)where:p = proportion of success in the sampleq = proportion of failure in the samplen = sample sizeGiven:Sample proportion, p = 72% or 0.72Sample size, n = 150

The proportion of failure in the sample can be calculated as:q = 1 - p= 1 - 0.72= 0.28Substituting the known values in the above formula, we get:\($$Standard \ error=\frac{\sqrt{pq}}{n}$$$$=\frac{\sqrt{0.72(0.28)}}{150}$$$$=0.0372$$\)Rounding off to the nearest thousandth, we get the standard error of sample proportion as 0.037

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Answer:

C. 9

Step-by-step explanation:

3 sock options, 3 shoe options for each of those sock options.

3 x 3 = 9

Answer:

A

Step-by-step explanation:

The correct option is A, which is {(5/7, 12/7)}.

equation 1, 5x + 2y = 7,

equation 2, y = x+1

To solve the question, as given in equation 2 the value of y which is equal to x+1, Substitute the value of  y in equation 1,

\(5x + 2y = 7\)

\(5x + 2(x+1) = 7\\5x+2x+2=7\\7x+2=7\\7x=7-2\\7x=5\\\\x= \dfrac{5}{7}\)

Now, we have the value of x, substitute the value in equation 2, to get y,

\(y=x+1\\y=(\frac{5}{7})+1\\\)

Taking LCM,

\(y=\frac{5+(1\times 7)}{7} \\y= \dfrac{12}{7}\)

Hence, the correct option is A, which is {(5/7, 12/7)}.

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With a TI-84 Plus calculator, the shaded areas beneath the standard normal curve are (a) 0.705, (b) 0.976, (c) 0.01, and (d) 0.09.

We must determine the region beneath the normal distribution curve.

a) region of the standard normal curve outside of the range between z = − 1.98 and z = 0.61.

= P (-1.98 < z < 0.61)

= P (z < 0.61) - P ( z < - 1.98)

= 0.729 - 0.024

= 0.705

= 70.5 %

b) region to the left of the standard normal curve under z = 1.98

= P ( z < 1.98)

= 0.976

= 97.6%

c) region to the right of the standard normal curve under z = 2.34

P (z > 2.34)

= 1 - P (z < 2.34)

= 1 - 0.990

= 0.01

= 1 %

d) space between the standard normal curve's upper and lower bounds z = -0.94 and z = -0.63

= P ( -0.94 < z < -0.63)

= P (z < -0.63) - P (z < -0.94)

= 0.264 - 0.174

= 0.09

= 9%

The complete question is:

Using the TI-84 calculator, find the area under the standard normal curve. Round the answers to four decimal places.(a) Find the area under the standard normal curve that lies outside the interval between z= −1.98 and z=0.61.(b) Find the area under the standard normal curve to the left of z=1.98.(c) Find the area under the standard normal curve to the right of z= 2.34.(d) Find the area under the standard normal curve that lies between z= −0.94 and z= −0.63.

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Answer:

each pendant cost 2 dollars and 20 cents

Answer: 2.2

all u need is a calculator it is quite easy(no offense)

quick mafs

Answer:

The answer is 8$- Took the test

Step-by-step explanation:

Based on the results of the survey, the sport that was most popular was A. Football.

Out of 100 seventh-graders that were surveyed, 39 students preferred football.

This made it the most popular sport in the school and it is followed by Basketball which was preferred by 30 students.

The rest of the question is:

Football - 39

Baseball - 28

Basketball - 30

Volleyball and Hockey - 3

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Answer:

Basketball

Step-by-step explanation:

Answer:

-24, \(\frac{1}{24}\)

Step-by-step explanation:

An opposite number or additive inverse of any number (n) is a number which, if added to n, results in 0. The opposite number for n is written as −n.

For 24, this is -24.

A multiplicative inverse or reciprocal for a number n, is a number which when multiplied by n, their product is 1. To find the multiplicative inverse of a real number, just divide 1 by that number.  The reciprocal for n is written as \(\frac{1}{n}\) or \(n^{-1}\).

For 24, this is \(\frac{1}{24}\).

**This content involves opposite and reciprocal numbers, which you may wish to revise. I'm always happy to help!

Answer:

Step-by-step explanation:

Answer 10.5

The rectangle which should go in position I is rectangle A.

We are given that;

The rectangles A,B,C and D with numbers

Now,

To take the same the number of side

If we take A on 1 place

F will be on second place

And  B will be on 4th place

Therefore, by algebra the answer will be rectangle A.

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Usando proporciones, hay que Luis enviará 160 dólares a su familia.

Una proporción es una fracción de la cantidad total, y puede ser encontrada por intermedio de una regla de tres.

En este problema, la regla de tres es dada por:

15 dólares - 8 envíados

300 dólares - n envíados

Aplicando multiplicación cruzada:

15n = 300 x 8

n = (300 x 8)/15

n = 160

Luis enviará 160 dólares a su familia.

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There will be 660 digits which are used to print page numbers of a 256- page book.

To find out the total number of digits. First split the pages into three parts:

(1 - 9), (10 - 99), (100 - 256)

First is (1 - 9) pages

There are 9 pages from 1 to 9 and it will require 9 digits to print the page numbers.

Second is (10 - 99) pages

There are 90 pages from 10 to 99 and it will require 90 multiply by 2 that is 180 digits

Third is (100 - 256) pages

There are 256 - (90+9) = 157 pages and it will require 157 multiply by 3 that is 471 digits.

The total number of digits required is 9 + 180 + 471 = 660.

Therefore, the total number of digits required is 660.

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Answer: B = 6 , C = n^2

Step-by-step explanation:

Edge

The expectation value of the position squared when the particle in the box is in its third excited state is equal to \(\frac{9l^2}{8}\), where l is the length of the box. This is equal to nine-eighths of the length of the box squared.

The expectation value of the position squared when the particle in the box is in its third excited state can be calculated using the formula\(\langle x^2 \rangle = \frac{l^2}{8} \left( 2n^2 + 6n + 3 \right)\),

where n is the quantum number of the state and l is the length of the box. Here, n is 3, so the expectation value is equal to

\(\frac{l^2}{8} \left( 2 \times 3^2 + 6 \times 3 + 3 \right) = \frac{9l^2}{8}\).

This can be written as nine-eighths of the length of the box squared.

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