in a poll, respondents were asked whether they were planning to vote in the local election. 315 respondents indicated that they were planning to vote and 217 said that they were not. what is the probability that the next respondent questioned will indicate that they are planning to vote?

Answer:

D is your answer.

Step-by-step explanation:

if you do 2 numbers to the right you get 3 and now the half would go in between 3 which would make your answer 3 and one half

Answer:

answer  (-1) because from a if u minus 2 1/2 u get (-1)

Answer:

Step-by-step explanation:

To convert square meters to square centimeters, we need to multiply by the conversion factor (100 cm / 1 m)^2.

So,

3.9 m² = 3.9 × (100 cm / 1 m)²

3.9 m² = 3.9 × 10,000 cm²

3.9 m² = 39,000 cm²

Therefore, 3.9 square meters is equal to 39,000 square centimeters.

To find the y-coordinate of point P on the unit circle, given that its x-coordinate is 5/13, we can utilize the Pythagorean identity for points on the unit circle.

The Pythagorean identity states that for any point (x, y) on the unit circle, the following equation holds true:

x^2 + y^2 = 1

Since we are given the x-coordinate as 5/13, we can substitute this value into the equation and solve for y:

(5/13)^2 + y^2 = 1

25/169 + y^2 = 1

To isolate y^2, we subtract 25/169 from both sides:

y^2 = 1 - 25/169

y^2 = 169/169 - 25/169

y^2 = 144/169

Taking the square root of both sides, we find:

y = ±sqrt(144/169)

Since we are dealing with points on the unit circle, the y-coordinate represents the sine value. Therefore, the y-coordinate of point P is:

y = ±12/13

So, the y-coordinate of point P can be either 12/13 or -12/13.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The correct set of possible results would be (0, 1, 0, 0), (1, 2, 1, 0) and (1, 2, 0, 1).

Your approach seems to be correct, but there seems to be a minor mistake in your final list of possible solutions. Let's go through the steps to clarify.

Given the initial conditions z=t=0, you obtained a partial solution (0,1,0,0).

Next, you solved the homogeneous equations for z=1 and t=0, which resulted in a solution (1,1,1,0).

Similarly, solving the homogeneous equations for z=0 and t=1 gives another solution (1,1,0,1).

To find the general solution, you combine the partial solution with the solutions obtained in the previous step, using parameters a and b.

(0,1,0,0) + a(1,1,1,0) + b(1,1,0,1)

Expanding this expression, you get:

(0+a+b, 1+a+b, 0+a, 0+b)

Simplifying, you obtain the following set of solutions:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Therefore, the correct set of possible results would be:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Note that (0, 1, 1, 1) is not a valid solution in this case, as it does not satisfy the initial condition z = 0.

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Answer:

y = -2x +20

6x - 5y = 12

Put the value of y in 2nd equation

6x - 5( -2x +20 ) = 12

6x +10x -40 = 12

16x = 12 +40

16x = 52

x = 13/4

Putting the value of x in equation 1

y = -2x +20

y = -2(13/4 ) +20

y = 27/2

Do mark me as brainly. THANKS

Answer:

y = 6/5x + 2

Step-by-step explanation:

First let's fix this equation

5x + 6y = 36 (subtract 5x on both sides)

6y = -5x + 36 (divide by 6 on both sides)

y = -5/6x + 6

NOW

The perpendicular slope of this equation is 6/5

Now we have to plug in (-5,-4) to get the y-intercept

-4 = 6/5(-5) + b  (distribute 6/5 to -5)  (b represents the y-intercept)

-4 = -6 + b (add 6 on both sides)

2 = b

So your equation is...

y = 6/5x + 2

HOPE THIS HELPED!!!!!

ANSWER:

STEP-BY-STEP EXPLANATION:

With the information in the statement we can propose the following system of equations: Let x be the ticket value for students and y value the ticket for adults.

Solving x in (1)

Replacing (3) in (2):

1)  \(2^{5+3}\) = \(2^{8}\)  (By Product rule of exponents \(a^{m} *a^{n} = a^{m+n}\))

2) \(m^{5+7}\) = \(m^{12}\)  (By Product rule of exponents \(a^{m} *a^{n} = a^{m+n}\))

3) \(b^{4+2} = b^{6}\)    (By Product rule of exponents \(a^{m} *a^{n} = a^{m+n}\))

4) \(x^{2+1}*y^{2} = x^{3}y^{2}\)   (By Product rule of exponents \(a^{m} *a^{n} = a^{m+n}\))

5) \(x^{4+5}*y^{1+1} = x^{9}y^{2}\)    (By Product rule of exponents \(a^{m} *a^{n} = a^{m+n}\))

6) \(2^{4 - 3} = 2^{1} = 2\)   ( By Quotient rule of exponents \(a^{m} /a^{n} = a^{m-n}\))

7) \(c^{8 - 5} = c^{3}\)    ( By Quotient rule of exponents \(a^{m} /a^{n} = a^{m-n}\))

8) \(x^{4 - 4} = x^{0} = 1\)  ( By Quotient rule of exponents \(a^{m} /a^{n} = a^{m-n}\))

9) \(a^{2- 3} = a^{-1}\)  ( By Quotient rule of exponents \(a^{m} /a^{n} = a^{m-n}\))

10) \(m^{5*10} = m^{50}\) (Power of a power rule \((a^{m})^{n} = a^{m*n}\))

11) \(5^{2*2} = 5^{4}\)  (Power of a power rule \((a^{m})^{n} = a^{m*n}\))

12) \(\frac{x^{2*2} }{y^{3*2} } = \frac{x^{4} }{y^{6} }\)   (Power of a quotient rule \(( \frac{a}{b} )^{m} = \frac{a^{m} }{b^{m} }\))

13) \(a^{1*3} b^{2*3} =a^{3} b^{6}\)   (Power of a power rule \((a^{m})^{n} = a^{m*n}\))

14) \(c^{2*5} d^{3*5} =c^{10} d^{15}\)   (Power of a power rule \((a^{m})^{n} = a^{m*n}\))

15) \((m^{2-2} )^{2} = (m^{0} )^{2} = 1^{2} =1\)   (Power of a quotient rule \(( \frac{a}{b} )^{m} = \frac{a^{m} }{b^{m} }\)  and Zero exponent rule \(a^{0} = 1\))

16) \(\frac{y^{2*0} }{z^{7*0} } = \frac{y^{0} }{z^{0} } = 1\)   (Power of a quotient rule \(( \frac{a}{b} )^{m} = \frac{a^{m} }{b^{m} }\)  and Zero exponent rule \(a^{0} = 1\))

17) \(\frac{1}{k^{2} }\)       ( Negative Exponent rule \(a^{-m} = \frac{1}{a^{m} }\) )

18) \(g^{3*-2} h^{3*-2} = g^{-6} h^{-6} = \frac{1}{g^{6}h^{6} }\)   ( Negative Exponent rule \(a^{-m} = \frac{1}{a^{m} }\) )

19) \(( x^{3-2} y^{3-2} )^{5} = (xy)^{5} =x^{5} y^{5}\)  (By Quotient rule of exponents \(a^{m} /a^{n} = a^{m-n}\) )

20) \((m^{2-3} n^{2-2} )^{4} =(m^{-1}n^{0})^{4} = m^{-4} = \frac{1}{m^{4} }\)  (Power of a quotient rule \(( \frac{a}{b} )^{m} = \frac{a^{m} }{b^{m} }\)  and Zero exponent rule \(a^{0} = 1\)) ( Negative Exponent rule \(a^{-m} = \frac{1}{a^{m} }\) )

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Answer:

Below in bold.

Step-by-step explanation:

To get a stratified sample you work out the proportion of girls from each school.

From  school A we take: (126/461) * 80 = 22 girls.

From B    :-      (82/461) * 80 = 14 girls.

From C  :-        (201/461)*80 = 35 girls

From CD  :-      (52/461)*80 =   9 girls.

The value of x from the given expression is 1

If the point M is on the line LN, then the equivalent addition postulate is expressed as;

LM+MN = LN

Given the following

LN=9,

MN =4x

LM=5x

Substitute

5x + 4x = 9

9x = 9

x =9/9

x = 1

Hence the value of x from the given expression is 1

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===========================================================

Explanation:

Cut the x coefficient (10) in half to get 10/2 = 5. Then square this to get 5^2 = 25.

We'll add 1 to both sides so that the "24" turns into "25", thereby completing the square

x^2 + 10x + 24 = 0

x^2 + 10x + 24+1 = 0+1

x^2 + 10x + 25 = 1

Notice on the left hand side we have something of the form A^2+2AB+B^2 where A = x and B = 5. We can factor this into (A+B)^2, which is the whole reason why we completed the square. You can use the FOIL rule to see how (A+B)^2 expands out into A^2+2AB+B^2. Factoring reverses this process.

This means x^2+10x+25 factors to (x+5)^2 and we now have these steps

(x+5)^2 = 1

x+5 = sqrt(1) or x+5 = -sqrt(1)

x+5 = 1 or x+5 = -1

x = 1-5 or x = -1-5

x = -4 or x = -6 are the two solutions

------------------

Let's check x = -4 to see if it works or not

x^2 + 10x + 24 = 0

(-4)^2 + 10(-4) + 24 = 0

16 - 40 + 24 = 0

-24 + 24 = 0

0 = 0

We get a true equation. That confirms x = -4 is a solution.

If we tried x = -6, then,

x^2 + 10x + 24 = 0

(-6)^2 + 10(-6) + 24 = 0

36 - 60 + 24 = 0

-24 + 24 = 0

0 = 0

That x value is confirmed as well.

The 90% confidence interval for the mean number of rounds played per year by physicians, assuming a normal distribution with a standard deviation of 8, is (15.15, 34.15).

To estimate the mean number of rounds played per year by physicians with a 90% confidence interval, we can use the formula:

CI = X ± Z * (σ / √n)

Where:

CI is the confidence interval

X is the sample mean

Z is the critical value for the desired confidence level (90% in this case)

σ is the population standard deviation

n is the sample size

Given:

Sample size (n) = 12

Sample mean (X) = (7 + 41 + 16 + 4 + 32 + 38 + 21 + 15 + 19 + 25 + 12 + 52) / 12 = 23.25

Population standard deviation (σ) = 8

Critical value (Z) for a 90% confidence level is 1.645 (obtained from a standard normal distribution table)

Plugging in the values into the formula, we have:

CI = 23.25 ± 1.645 * (8 / √12)

CI = 23.25 ± 1.645 * 2.3094

CI = 23.25 ± 3.7983

CI ≈ (15.15, 34.15)

Therefore, with 90% confidence, we can estimate that the mean number of rounds played per year by physicians is between 15.15 and 34.15.

This means that we are 90% confident that the true population mean falls within this range based on the given sample.

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Answer:

Teaching  25   students makes the teacher  100   dollars.

======================================================

Explanation:

The notation T(25) means "The value of T(x) when x = 25".

The instructions state that x represents the number of students. So x = 25 means the teacher has 25 students.

Writing T(25) = 100 means the teacher earns $100 from teaching 25 students.

We could also write T(x) = 100 when x = 25. Though it's more compact to say T(25) = 100.

--------------------------

Note that,

T(x) = 4x

T(25) = 4*25 ... replace x with 25

T(25) = 100

As you can probably see by now, each student pays $4 which is what leads to the $100 total.

put the varible on the shaded half

Answer:

part A

Answer》78.50cm^2

part B

answer》A)21.5cm^2

Step-by-step explanation:

hope it helps you

have a great day!! ^_^

Answer:

\(\sf 2^{8}\)

Step-by-step explanation:

             \(\sf \boxed{(a^m)^n=a^{m*n}}\)

To convert to single power, multiply the powers.

\(\sf (2^2)^4= 2^{2*4}\)

        \(\sf =2^8\)

\( \bf\implies \: {2}^{8} \)

The exponent (^) rule to solve this problem that is :

\( \: \: \: \: \: \: \: \: \: \: \: \: \bf \longrightarrow \: {(a^{m})}^{n} = {(a)}^{m \times n} \)

According to the question :-

\( \bf \longrightarrow \: {(2^{2}) }^{4} \)

\( \bf \longrightarrow \: (2)^{2 \times 4} \)

\( \bf\longrightarrow \: {2}^{8} \: \boxed { \bf \: \red{ ans.}}\)

f(x) = x is a simple linear function with a slope of 1, f(x) = 3 5 6 is a constant function, f(x) = 3-x is a linear function with a negative slope of -1,  f(x) = 1 is a constant function, f(x) = 2 is a constant function

A constant function is a mathematical function whose output value is the same for every input value

From the given parameters, f(x) = x is a simple linear function with a slope of 1, this implies  that for every unit increase in x, the value of y increases by 1.

Also,  f(x) = 3 5 6 is a constant function, where the value of y is always 3 5 6, regardless of the value of x.

In the same way,  f(x) = 3-x is a linear function with a negative slope of -1, which means that for every unit increase in x, the value of y decreases by 1. The fourth function f(x) = 1 is a constant function, where the value of y is always 1, regardless of the value of x.

The domain of the fifth function is 3 0, which means that x can take any value between 3 and 0.

The sixth function f(x) = 2 is a constant function, where the value of y is always 2, regardless of the value of x.

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Answer: if you see my picture that the answer for your question

Step-by-step explanation: hope this help

Answer:

1384.74 square centimeters

Step-by-step explanation:

The area of a horizontal cross section of a cylinder is the same as the area of the circular base of the cylinder.

To find the area of the circular base of the cylinder, we first need to find the radius of the circle.

The formula for the circumference of a circle is C = 2πr, where r is the radius.

Given the circumference of the cylinder is 131.88 cm, and using 3.14 for π, we can use circumference formula to find the radius of the circular base:

\(\begin{aligned}C &= 2\pi r\\\\\implies 131.88 &= 2 \cdot 3.14 \cdot r\\\\131.88 &= 6.28 r\\\\\dfrac{131.88}{6.28} &= \dfrac{6.28 r}{6.28}\\\\21&=r\\\\r&=21\; \sf cm\end{aligned}\)

Substitute the found value of r into the formula for the area of a circle to find the area of a horizontal cross section of the cylinder:

\(\begin{aligned}A &= \pi r^2\\\\A&=3.14 \cdot 21^2\\\\A&=3.14 \cdot 441\\\\A&=1384.74\;\sf cm^2\end{aligned}\)

Therefore, the area of a horizontal cross section of the cylinder is approximately 1384.74 square centimeters.

Answer:

-------------------------

The circumference is given as 131.88 centimeters.

We know that the formula for the circumference is:

So,

Solve for radius:

Use the area formula:

Substitute 21 cm for r and calculate the area:

the BEST statement is: The serving costs about 40 cents.

To determine the cost of the optimal serving, we need to calculate the cost per serving based on the quantities of chicken and tomatoes used.

Given that an optimal serving contains 0.89 ounces of chicken and 0.52 ounces of tomatoes, we can calculate the cost as follows:

Cost of chicken =\(0.89 ounces * $0.40/ounce\)

Cost of tomatoes = \(0.52 ounces * $0.08/ounce\)

Total cost = Cost of chicken + Cost of tomatoes

Total cost =\((0.89 * $0.40) + (0.52 * $0.08)\)

Total cost =\($0.356 + $0.0416\)

Total cost ≈\($0.3976\)

Rounding to the nearest cent, the cost of the optimal serving is about 40 cents.

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The metric system of measurement is based on the number 10.

This system is also known as the International System of Units (SI) and is used in most countries around the world. In the metric system, various units of measurement are defined as multiples or fractions of a base unit, which is defined for each quantity being measured. For example, the base unit for length is the meter, and the base unit for mass is the kilogram. Prefixes such as kilo-, centi-, and milli- are used to indicate multiples or fractions of the base unit, based on factors of 10. For example, a kilometer is 1000 meters, a centimeter is 1/100 of a meter, and a milligram is 1/1000 of a gram. This makes the metric system easy to use and convert between units, as well as consistent and universally recognized.

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Answer:

5/9

Step-by-step explanation:

complement means not choosing an orange  

P( not choosing orange) = (apple and fruit) / total

                                          = (4+6) / (4+6+8)

                                          =10/18

                                           = 5/9

Answer:

the answer is C. 5/9

Step-by-step explanation:

correct on egde 2023 (btw im from the future and the rona is still a thing)

Answer:

you dont have an image?

Answer:

39 games

Step-by-step explanation:

To answer this question, we can use the empirical rule, which states that for a normal distribution, about 68% of the data values are within one standard deviation of the mean, about 95% are within two standard deviations, and about 99.7% are within three standard deviations. In this case, the mean is 150 and the standard deviation is 12, so one standard deviation below the mean is 150 - 12 = 138, and one standard deviation above the mean is 150 + 12 = 162. The interval from 127 to 157 is slightly smaller than one standard deviation on either side of the mean, so we can estimate that about 65% of the data values are within this interval. To find the number of games that Lydia would be expected to score between 127 and 157, we can multiply 65% by the total number of games, which is 60. This gives us 0.65 x 60 = 39. Rounding to the nearest whole number, we get 39 games.

✧☆*: .｡. Hope this helps, happy learning! (✧×✧) .｡.:*☆✧

Answer: $66.7

Step-by-step explanation:

$58 spent on dinner

Gives 15% of the bill as tip

15% of 58 = 8.7

$58 + $8.7 = $66.7

The forecast for May using a five-month moving average is 39 (Option E).

Moving average is used for smoothing out time series data to find any trends or cycles within the data. A five-month moving average is the average of the past five months. To calculate the moving average, add up the sales for the previous five months and divide it by five.

According to the question, the sales for the previous five months are: Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47

We have to add the sales of these five months, which gives:

27 + 40 + 42 + 41 + 47 = 197

To find the moving average for May, we divide this sum by 5:

197 / 5 = 39.4

Since we have to round the answer to the nearest whole number, we round 39.4 to 39, which is option E.

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The true mean swimming speed of all emperor penguins in the population falls within the range of 9.441 km/h to 10.101 km/h.

To construct a 95% confidence interval for the mean swimming speed of all emperor penguins in the population, we can use the formula:

CI = (x(bar) - E, x(bar)+ E)

where x(bar) is the sample mean (9.771 km/h), E is the margin of error, and CI represents the confidence interval.

The margin of error can be calculated using the formula:

E = t × \((s / \sqrt(n))\)

where t is the critical value corresponding to the desired confidence level (95% in this case), s is the sample standard deviation (0.944 km/h), and n is the sample size (31).

Using the t-distribution table or a statistical calculator, the critical value for a 95% confidence level with a sample size of 31 is approximately 2.039.

Plugging in the values into the formula, we have:

E = 2.039 × \((0.944 / \sqrt(31))\)

Calculating E gives us approximately 0.330.

Therefore, the 95% confidence interval for the mean swimming speed of all emperor penguins in the population is:

CI = (9.771 - 0.330, 9.771 + 0.330) = (9.441 km/h, 10.101 km/h)

Interpretation: We can be 95% confident that the true mean swimming speed of all emperor penguins in the population falls within the range of 9.441 km/h to 10.101 km/h based on the given sample data.

The estimate of the mean swimming speed can be generalized to all types of penguins only if the sample used to estimate the mean is representative of the entire population of penguins. In this case, the sample consists of emperor penguins, so the estimate is specific to emperor penguins and may not accurately represent the mean swimming speed of all types of penguins.

Different species of penguins have distinct characteristics, including body size, habitat, and behavior, which can influence their swimming speeds. Therefore, it is not appropriate to generalize the estimate of the mean swimming speed to all types of penguins without considering the specific characteristics and differences among penguin species.

To generalize the estimate to all types of penguins, a representative sample of different penguin species would be needed, ensuring that the sample adequately represents the diversity of penguin species in terms of size, habitat, and other relevant factors.

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Answer: d "y, because jhk = lmk"

Step-by-step explanation:

both triangles have a 65 and a 90 degree angle, since both triangles have to add up to 180 degrees, both sides equal 25