In a recent election 59% of people supported re-electing the incumbent. Suppose a poll is done of 1230 people. If we used the normal as an approximation to the binomial, what would the mean and standard deviation be? Please show formulas used in excel

Answer:

10.6 i think

Step-by-step explanation:

i think it's 10.6 because 18.9-8.3=10.6

Answer:

The midsegment is 13.6

Step-by-step explanation:

To calculate the mid segment, find the average of the two bases.

\(\frac{8.3+18.9}{2} =\frac{68}{5}=13.6\)

Answer:

Leo is correct

Step-by-step explanation:

You would multiply 36 by 52 to get $1872 which is more than enough to get the bike

Answer:

Yes, he is correct.

Step-by-step explanation:

$36 per week for 52 weeks

$36 * 52 = $1872

He can earn $1872 in one year. He needs $1359.

Answer: Yes, he is correct.

Answer:

Step-by-step explanation:

He had the incorrect slope for the second line, his line has a positive slope of one while the equation has a slope of negative 1.

x+y=1

y=-x+1

He graphed x+1 instead of -x+1

If he graphed them correctly the lines would intersect when the equations were equal

2x+4=-x+1

3x+4=1

3x=-3

x=-1, making y=2x+4 become

y=2(-1)+4

y=2

So the solution was supposed to be the point (-1,2)

The estimated crop yield from the simulation is 443 (option b).

To estimate the crop yield from the given random numbers, we need to assign a specific meaning to each random number. Let's assume that each random number represents the crop yield for a particular year.

Given random numbers: 37, 23, 92, 01, 69, 50, 72, 12, 46, 81

To find the estimated crop yield, we sum up all the random numbers:

37 + 23 + 92 + 01 + 69 + 50 + 72 + 12 + 46 + 81 = 443

Therefore, the estimated crop yield from the simulation is 443. The correct option is b.

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Answer:

The discount amount is $50.00. To calculate the discount, you can multiply the original price by the discount rate (expressed as a decimal), $249.99 * 0.20 = $49.998. Then, subtract the discount amount from the original price: $249.99 - $49.998 = $199.992.

Step-by-step explanation:

The expression that is equal to \(\frac{5x}{x^{2} -9} -\frac{4x}{x^{2} +5x+6}\) is \(\frac{x^{2}+22x }{(x+2)(x+3)(x-3)}\).

In the given question

\(=\frac{5x}{x^{2} -9} -\frac{4x}{x^{2} +5x+6}\).....(i)

First solving the denominator of both the terms ,

=x²-9

=x²-(3)²  

=(x+3)(x-3)    ...using identity a²-b²=(a+b)(a-b)   .....(ii)

=x²+5x+6

=x²+3x+2x+6       ...by splitting the middle term

=x(x+3)+2(x+3)

=(x+2)(x+3)       ....(iii)

Substituting the value of (ii) and (iii) in   (i)

we get,

\(=\frac{5x}{(x+3)(x-3)} -\frac{4x}{(x+2)(x+3) }\)

taking LCM as (x+2)(x+3)(x-3) we get ,

\(=\frac{5x(x+2)-4x(x-3)}{(x+2)(x+3)(x-3)} \\ \\ =\frac{5x^{2} +10x-4x^{2} +12x}{(x+2)(x+3)(x-3)}\)

Simplifying the like terms in the numerator we get

\(=\frac{x^{2} +22x}{(x+2)(x+3)(x-3)}\)

Therefore , the expression that equals \(\frac{5x}{x^{2} -9} -\frac{4x}{x^{2} +5x+6}\)  is \(\frac{x^{2} +22x}{(x+2)(x+3)(x-3)}\).

The correct option is (c).

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Answer:

8

Step-by-step explanation:

16 cups per gallon divided by 2 equalls 8

Answer:

8 servings

Step-by-step explanation:

1 serving uses 2 cups of milk, and there are 16 cups in a gallon.

you can use a 1:2 ratio to find that a gallon can make 8 servings.

a] 2, 3, 5, 7, 11

b] 1, 2, 3

c] 1, 2, 3, 4, 5

d] 1, 4, 9, 16, 25

e] 1, 2, 3, 5, 6, 10, 15, 30

f] Prime factors of 27 are 3 and 3 and 3, which can be written as 3^3.

Answer:

The answer for the question is

a)2,3,5,7,11

b)1,2,3

c)1,2,3,4,5

d)1,4,9,16,25

e)1,2,3,5,6,10,15,30

e)3

Answer:

The answer to Y/X is 4/1

Answer:

Step-by-step explanation:

A rectangular pyramid has five sides. It consists of a rectangular base and four triangular faces that meet at a common vertex or apex.

≧◉◡◉≦

Answer:

Step-by-step explanation:

Biking is x and bussing is y. We know that the total distance is 325. Thus, the first equation in this system is

x + y = 325 (which says that the km traveled by bike plus the km traveled by bus totaled 325 km).

We also know that the pair biked 75 km more than they rode, giving us the second equation in our system:

x = y + 75. Now we use simple substitution and plug y + 75 in for x in the first equation:

(y + 75) + y = 325 and

2y + 75 = 325 and

2y = 250 so

y = 125 km. They rode the bus for 125 km and biked for 325 - 125 which is 200. And the difference is 75 km, as it should be!

Recall that

Thus, we have

Since

we can rewrite the first term, log 10z, as follows

Therefore,

Answer:

680

Step-by-step explanation:

x = total number

.6x  = bus riders = 408              (.6 is decimal for 60%)

.6x = 408

x = 408/.6 = 680

Answer:

AC is the longest side

AB is the shortest

Step-by-step explanation:

Generally, the side that faces the smallest angle has the smallest side while the side that faces the largest angle has the largest side

The measure of the third angle C is 180 - 55 -75 = 50

Kindly note that A faces BC

B faces AC

C faces AB

So while AC is the longest side, AB is the shortest

So the correct answers are;

AC is the longest side

AB is the shortest side

Answer: B

Step-by-step explanation:

Answer:

Slope is 2/3 I think

Step-by-step explanation:

Answer:

Total cars=30 and

motorcycles =75

Step-by-step explanation:

Total Motorcycles= 75

wheels for motorcycles =75*2=150

total wheels= 270

cars have four wheels so 270-150=120

120/4=30

Total cars=30 and motorcycles =75

Answer:

8

Step-by-step explanation:

Plug in the info.

(3)(-2)(-2)-(1)(1)-(3

Then calculate it

Answer:

kml

Step-by-step explanation:

got it right

Answer:

triangle KML or answer C is corrreeeccttt

Step-by-step explanation:

edgee

Approximately 17.4 inches of fabric were used on a headband for each player, and 9.43 inches of fabric were used on a wristband for each player.

Here we want to find how much fabric was used on a headband and wristband for each player, we need to calculate the total fabric used for headbands and wristbands and divide it by the total number of players.

So the formula we need to use is:

Fabric used on a headband  = Total fabric used for headbands / (Number of players + Number of coaches)

Fabric used on a headband  = 853.58 inches / (46 + 3)

Fabric used on a headband = 853.58 inches / 49 = 17.4 inches

And we also need to use:

Fabric used on a wristband  = Total fabric used for wristbands / Number of players

Fabric used on a wristband = 433.78 inches / 46 = 9.43 inches

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The amount of fabric that was used on a headband and wristband for each player is: 28 inches

The parameters given in the question are:

853.58 inches of fabric used for headbands

433.78 inches of fabric on wristbands

She makes 46 headbands for the players and 3 for the coaches: 46 + 3 = 49 headbands

She only makes wristbands for the players: 46 wristbands

Thus:

Fabric used for each headband = 853.58/49 = 17.42 ≈ 18 inches per headband

Fabric used for wristband = 433.78/46 = 9.43 ≈  10 inches per wrist band.

Total fabric used = 18 + 10 = 28 inches

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Therefore , the solution to the given problem of mean comes out to be  the sample size yields the equivalent number of households is 30.

Regardless of whether many elements are discrete or continuous, averages can only be calculated for numeric variables. You may find this by dividing the total number of values in the dataset by the total number of values in the dataset. It is possible to perform computations using either raw data or data that has been compiled into frequency tables. The average value in mathematics is obtained by adding up all the numbers in a set of data and dividing the total by the total number of numbers.

Here,

Given:

Mean = 2

Four pets are two standard deviations away from the mean, and one standard deviation equals one pet.

We can determine that at least

100 (1-1k2)% = 100 (1-1/4)% = 75%

is within 2 standard deviations of the mean using Chebyshev's Rule with

k = 2.

The percentage times the sample size yields the equivalent number of households:

=> 75% x 40 = 30

Therefore , the solution to the given problem of mean comes out to be  the sample size yields the equivalent number of households is 30.

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Answer:

the equation is " y = (slope)x + (y-intercept) "

Step-by-step explanation:

here ya go ! hope this helps

Answer: Hope this helps. This graph is at a highschool level so if you are actually in highschool this should help you. If you are in middle school I can adjust it to a more simple graph.

Step-by-step explanation:

Sales tax is $1.92. The tip he will give is $ 7.20. In total he will pay $33.12

To calculate the expected number of die rolls it takes to reach either condition (A) or condition (B), we need to first calculate the probability of each scenario occurring and then use those probabilities to find the expected value of X.

To find the expected value of X, we need to first calculate the probability of each scenario occurring. Let's start with condition (A), rolling a "1" on any given roll. Since the die is fair and uniformly distributed, the probability of rolling a "1" on any given roll is 1/6. We can express this probability as P(A) = 1/6 + ((5/6) * 1/6) + ((5/6)^2 * 1/6) + ... + ((5/6)^(n-1) * 1/6), where n is the number of rolls it takes to roll a "1". Using some probability theory, we can simplify this expression as P(A) = 6/11.

Finally, we can use these probabilities to find the overall probability of reaching either condition (A) or condition (B) on any given roll. Since these events are mutually exclusive (i.e. you can't roll a "1" and two "2"s in a row at the same time), we can simply add their probabilities together: P(A or B) = P(A) + P(B) - P(A and B) = 6/11 + 1/36 - (1/6)*(1/36) = 201/396.

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Answer:

4/3

Step-by-step explanation:

Answer:

The slope is 8/6 or 4/3

Step-by-step explanation:

rise over run

Answer:

So the answer would be 9

Step-by-step explanation:

3*6=9

Given that a = 8 cm and b = 21 cm, the value of A is 20.9 degrees

The complete question is added as an attachment

From the question, we have the following parameters that can be used in our computation:

a = 8 cm and b = 21 cm

Using the tangent function, we have

tan(A) = a/b

So, we have

tan(A) = 8/21

Evaluate

tan(A) = 0.3810

Take the arctan of both sides

A = 20.9 degrees

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Three easy steps make dividing fractions the simplest: convert the divisor into a reciprocal. Multiply after changing the division symbol to a multiplication symbol. If you can, simplify.

Divide: 2/3 : 1/6 = 2/3 · 6/1 = 2 · 6/3 · 1 = 12/3 = 3 · 4/3 · 1 = 4

When two fractions are divided, the first fraction is multiplied by the second fraction's reciprocal value. Finding the reciprocal of the second fraction (reverse the numerator and denominator, reciprocal of 1/ 6 is 6/1) is the first sub-step. Multiply the two numerators after that. Multiply the two denominators after that. The next intermediate step, cancellation by a common factor of 3, results in 4.

It takes only three easy steps to subtract fractions.

Divide: 2/3 : 1/6 = 2/3 · 6/1 = 2 · 6/3 · 1 = 12/3 = 3 · 4/3 · 1 = 4

Ensure that the denominators (the bottom numbers) are the same.

Take the highest digits out (the numerators). Place the solution above the same numerator.

Make the fraction simpler (if needed).

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We must find the sum of the polynomials:

The sum of the polynomials give:

Answer