2
2 points
Solve for the indicated missing part. Round to 1 d.p.
1
Find mZA
с
2
3
54°
B
4

Answer:

looking at the screenshot! it can be a or b

Step-by-step explanation:

The average commute distance of all 50,000 heads of households in the town is estimated as 8.7, and this estimate is likely to be off by 0.28 or so.

The population mean = 8.7

population standard deviation = s/√n

s = 9

n = 1000

= 9/√1000

= 0.28

The conclusion is that the estimate is 8.7 and it is off by 0.28.

CI = bar X ± Z∝/2(s/√n)

= 8.7±1.645(0.28)

= 8.7 ± 0. 47

Confidence interval = 8.23, 9.17

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Answer:

b. $5.20

pls give me brainlist

Answer:

4  

If A=6 then you would have to plug that in for a which would become 6-6 which equals 0.Then you would have to plug in 4 for b so you would do 0+4= your answer of 4.

Answer:

Step-by-step explanation:

Hello,

This question requires us to convert numbers from standard form to scientific form. This can easily be done using a calculator or just writing the number down then put a decimal point after the first digit and count the rest which would be raised to the power of that number.

Budget = 69.1 billion

Converting this to scientific form = 6.91×10¹⁰

Population = 11.67 million

Converting this to scientific form = 1.167×10⁷

Budget per capita refers to budget allocated to each individual in the population.

Budget per capita is used to compare economic indices or indicators of various countries with different population sizes.

Budget per capita = budget / total population

Budget per capita = 6.91×10¹⁰ / 1.169×⁷

Budget per capita = 5911.03

What this implies is that for each individual living in the state of Ohio, the amount budgeted for that particular period (mostly in a given year) is 5911.03

So, the smallest value of n that satisfies the conditions is given by n is 5^74 * 2^194.

A number n! ends in 74 zeros if and only if n! is divisible by 10^74. This means that 10^74 is a factor of n!. The number of factors of 2 in n! is given by ⌊n/2⌋ + ⌊n/4⌋ + ⌊n/8⌋ + ... and the number of factors of 5 is given by ⌊n/5⌋ + ⌊n/25⌋ + ⌊n/125⌋ + ...

We want the number of factors of 5 to be greater than the number of factors of 2 because each factor of 5 contributes a single zero, while each factor of 2 contributes a single digit. Thus, the number of zeros is given by min(⌊n/2⌋, ⌊n/5⌋).

To find the smallest n such that min(⌊n/2⌋, ⌊n/5⌋) = 74, we can use the formula: n = 5^74 * 2^k, where k is the smallest integer such that 5^74 * 2^k >= 10^74.

We can use logarithms to solve for k:

5^74 * 2^k >= 10^74

log(5^74 * 2^k) >= log(10^74)

74 * log(5) + k * log(2) >= 74 * log(10)

k >= 74 * (log(10) - log(5)) / log(2)

We can use a calculator to approximate k and find that k is approximately 193. The smallest integer value of k that is greater than 193 is 194. Thus, the smallest value of n that satisfies the conditions is given by n = 5^74 * 2^194.

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Answer:

A

Step-by-step explanation:

Answer:

the distance is 8 spaces

Step-by-step explanation:

In order to proof that ∠ ABC + m ∠DBE = 180° the correct proof is given as follows:

Supplementary angles comprise of angles that are on a straight line and which must add up to 180°

It is right to state therefore, that  ∠ABC, ∠CBD are supplementary angels.

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Using Pythagoras theorem:-

H²= P²+ B²

Putting the value in equation

\( {x}^{2} = {5}^{2} + {3}^{2} \\ {x}^{2} = 25 + 9 \\ {x}^{2} = 34 \\ x = \sqrt{34} = 5.83\)

The probability that both numbers are prime is 0.16

What is probability ?

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

Have given,

Total integers(S) = {1,2,3,4,5,.......,20} , n = 20

Prime integers(E) = {2,3,5,7,11,13,17,19} , n = 8

If two different integers are chosen at random,

Then probability of prime integers P(E) = \(\frac{n(S)}{n(E)} *\frac{n(S)}{n(E)}\)

⇒\(\frac{8}{20} *\frac{8}{20}\)

⇒\(\frac{64}{400}\)

⇒ 0.16

Hence , The probability that both numbers are prime is 0.16

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Answer:

niwebfasfbjsdfb

Step-by-step explanation:

jsdfhsdbfjhadsjbdsfhb

Answer:

20 is total

1/4 of 20 = 5

5 horses are brown

Answer:

5

Step-by-step explanation:

20 divided by 1 quarter is 5.

Answer:

0.6206

Step-by-step explanation:

We would be using the Z score probability to answer this question

The formula to find the is given as :

is z = (x-μ)/σ,

x = observed value

μ = mean or average value

σ = Standard deviation

To find the probability that between 3,000 and 4,800 acres will be burned in any given year

Step 1

Find the probability that that between 3,000 will be burned in any given year

z = (x-μ)/σ,

x = observed value = 3000

μ = mean or average value = 4500

σ = Standard deviation = 780

z = (3000- 4500)/780

z = -1.92308

Step 2

Find the probability that that between 4,800 will be burned in any given year

z = (x-μ)/σ,

x = observed value = 4800

μ = mean or average value = 4500

σ = Standard deviation = 780

z = (4800- 4500)/780

z =0.38462

Step 3

Using the Z score normal distribution table:

= P(Z <0.38462) - P(Z < - 1.92308)

= P(-1.92308 < Z < 0.38462)

Using the Z score normal distribution table:

P(z) -1.92308 = 0.02743

P(z) 0.38462 = 0.64803

Therefore, the probability that between 3,000 and 4,800 acres will be burned in any given year

0.64803 - 0.02743

= 0.6206

Answer: 0.6225

Step-by-step explanation:

$P\left(3,000<X<4,800\right)=0.6225

The mean is μ=4500 and the standard deviation is σ=780. Because the probability between two values is to be calculated, subtract the probability of the lower value from the higher value. In this case, you have to use the NORMDIST function twice.

1. Open Excel and click on any empty cell. Click Insert function, fx.

2. Search for NORMDIST in the search for a function dialog box and click GO.

3. Make sure NORMDIST is on top in select a function. Then click OK.

4. In the function arguments of the NORMDIST function, enter 4800 for X, 4500 for mean, 780 for Standard_dev, and TRUE for Cumulative, all for the higher value of X. Thus, the answer, rounded to four decimal places, is 0.6497.

5. Click on any other empty cell. Click Insert function, fx.

6. Search for NORMDIST in the search for a function dialog box and click GO.

7. Make sure NORMDIST is on top in select a function. Then click OK.

8. In the function arguments of the NORMDIST function, enter 3000 for X, 4500 for mean, 780 for Standard_dev, and TRUE for Cumulative, all for the lower value of X. Thus, the answer, rounded to four decimal places, is 0.0272.

Now subtract: 0.6497−0.0272=0.6225. Thus, the probability that between 3,000 and 4,800 acres will be burned in any given year is 0.6225.

The direction in which the maximum rate of change of f occurs at the point (5, 6, -1) is approximately (-0.17, -0.11, -0.98).

To find the maximum rate of change of the function f at the given point (5, 6, -1) and the direction in which it occurs, we can calculate the gradient of f at that point.

The gradient vector represents the direction of maximum increase of the function, and its magnitude represents the rate of change in that direction.

The gradient vector (∇f) of f(x, y, z) = (8x + 5y)/z can be found by taking the partial derivatives with respect to each variable:

∂f/∂x = 8/z

∂f/∂y = 5/z

∂f/∂z = -(8x + 5y)/z^2

Evaluated at the point (5, 6, -1), we have:

∂f/∂x = 8/(-1) = -8

∂f/∂y = 5/(-1) = -5

∂f/∂z = -((8(5) + 5(6))/(-1)^2) = -46

So, the gradient vector (∇f) at the point (5, 6, -1) is (-8, -5, -46).

The maximum rate of change of f at this point is given by the magnitude of the gradient vector:

|∇f| = √((-8)^2 + (-5)^2 + (-46)^2) = √(64 + 25 + 2116) = √2205 = 47.

Therefore, the maximum rate of change of f at the point (5, 6, -1) is 47.

To determine the direction in which this maximum rate of change occurs, we normalize the gradient vector by dividing it by its magnitude:

Direction vector = (∇f) / |∇f| = (-8/47, -5/47, -46/47).

Hence, the direction in which the maximum rate of change of f occurs at the point (5, 6, -1) is approximately (-0.17, -0.11, -0.98).

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a. The confidence interval for the mean head circumference of all infants is from 33.3 cm to 35.5 cm.

b. The margin of error is 1.1 cm.  

c.  In this context, the margin of error represents the precision of our estimate of the true population mean.

a) To find the 90% confidence interval for the mean head circumference of all infants, we can use the formula:

CI = x ± z*(σ/√n)

Where x is the sample mean, σ is the population standard deviation, n is the sample size, and z is the critical value from the standard normal distribution corresponding to the desired level of confidence (90% in this case).

Substituting the given values, we get:

CI = 34.4 ± 1.833*(2.1/√12)

CI = 34.4 ± 1.131

The confidence interval for the mean head circumference of all infants is from 33.3 cm to 35.5 cm.

b) The margin of error (E) is the amount added to and subtracted from the sample mean to obtain the lower and upper limits of the confidence interval, respectively.

In other words, it represents the range of values within which we can expect the true population mean to fall with a certain level of confidence.

To obtain the margin of error, we can use the formula:

E = z*(σ/√n)

Substituting the given values, we get:

E = 1.833*(2.1/√12)

E = 1.131

The margin of error is 1.1 cm.

c) In this context, the margin of error represents the precision of our estimate of the true population mean. It tells us how much the sample mean is likely to vary from the true population mean due to sampling variability.

A smaller margin of error indicates greater precision and a more accurate estimate.

For example, if we had obtained a smaller margin of error in this case, say 0.5 cm, it would mean that we can be more confident that the true population mean falls within a narrower range of values.

On the other hand, a larger margin of error, say 2.0 cm, would mean that our estimate is less precise and the true population mean could be further away from our estimate.

Therefore, the margin of error is an important measure of the reliability and validity of our estimate and should always be reported along with the confidence interval.

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Answer:

the answer is 28.26.I hope you like it

The transformation that is implemented is clockwise rotation by 270° about the origin and dilation by a scale factor of 1/2 .

The process of transformation an existing graph or equation into a new graph is known as graph transformation . The alteration of algebraic equations is a typical form of algebraic challenge.

A transformation modifies the graph of a parent function. Dilations, reflections, and translations are the three distinct types of transformation . The y-values of a function can be changed vertically, or the x-values can be changed horizontally (affects the x-values).

In the given figure we can see that the length of the side BC of the figure is 4 units, where as the length of the corresponding side in the image is

2 units . Hence the image is dilated buy a scale factor of 1/2 .

And from the transformation  figure it is clear that the image has rotated either 270° clockwise or 90 ° counterclockwise.

Hence the second option on transformation is correct.

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Answer:

D). A dilation by scale factor of 1.2, centered at the origin, followed by a 270 clockwise rotation about the origin

Step-by-step explanation:

Answer:

C.  37.5

Step-by-step explanation:

From inspection of the given triangle, we can see that the straight line that divides the triangle into two smaller triangles is an angle bisector since it divides the angle into two congruent angles.

Angle Bisector Theorem

An angle bisector of a triangle divides the opposite side into two segments that are proportional to the other two sides of the triangle.

\(\implies x:15=40:16\)

Solve for x:

\(\implies \dfrac{x}{15}=\dfrac{40}{16}\)

\(\implies \dfrac{x}{15}=2.5\)

\(\implies x=2.5\times 15\)

\(\implies x=37.5\)

Answer:

(7x + 2)(x - 2)(x + 2)

Step-by-step explanation:

Given

7x³ + 2x² - 28x - 8 ( factor the first/second and third/fourth terms )

= x²(7x + 2) - 4(7x + 2) ← factor out (7x + 2) from each term

= (7x + 2)(x² - 4) ← x² - 4 is a difference of squares

= (7x + 2)(x - 2)(x + 2)

Answer:

Where is your attachment or question

The most challenging Hardy-Weinberg condition to meet is No gene flow for biologists studying a large flatworm population in the lab. The Hardy-Weinberg theorem is a statistical method for analyzing genetic changes in a population and establishing a balance between the genetic variant and the prevailing evolutionary forces.

The theorem makes the following assumptions: large population size,  no gene flow, no mutation, no selection, and random mating of individuals. These assumptions help in creating a theoretical population model that can be used to test the influence of different forces on gene frequency.

The most challenging aspect of keeping flatworm populations in labs is avoiding gene flow because their reproductive cycle is very fast. It's essential to prevent the populations from mixing since even a single cross-breeding event might result in a significant disruption of the experimental findings. As a result, No gene flow is the most difficult assumption to meet in a laboratory setting.

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Answer:

Below

Step-by-step explanation:

To find the number of games g that the team could lose and still be eligible for the playoffs, we can write the inequality:

g / 18 ≤ 40%

g / 18 ≤ 0.4

g ≤ 7.2

We can round down to 7 to get the maximum number of games the team could lose and still be eligible for the playoffs.

If the baseball team loses 8 of its remaining games, they will not advance to the playoffs. This is because 8 is greater than the maximum number of games they could lose and still be eligible for the playoffs, which is 7.

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Step-by-step explanation:

ASK



ALGEBRA II

Ingrid H.

 asked • 04/02/20

The sum of three numbers is 126 . The third number is 3 times the first. The second number is 6 more than the first. What are the numbers?

The sum of three numbers is 126

. The third number is 3

 times the first. The second number is 6

 more than the first. What are the numbers? 

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Mackenzie K. answered • 04/02/20

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Lets define a=1st number, b=2nd number, and c=3rd number

We know that a+b+c=126

We also know that the second number is 6 more than the first, so we can represent this as b=a+6

We also know that the third number is 3 times the first which can be represented as c=3a

We can plug these new values into our original equation and get:

a+(a+6)+(3a)=126

2a+6+3a=126 COMBINE LIKE TERMS

5a+6=126

5a=120

a=24

Our first number is 24.

Our second number is 6 more than our first number, so the second number is 24+6=30

Our third number is 3 times the first number, so the third number is 3(24)=72

We can check by plugging these numbers in for a, b, and c in our original equation

a+b+c=126

24+30=72=126

126=126

The numbers are 26, 20, and 80.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Three numbers:

First = a

Second = b

Third = c

Now,

a + b + c = 126 ____(1)

c = 4b ____(2)

b = a - 6 _____(3)

From (1), (2), and (3) we get,

a + (a - 6) + 4b = 126

a + a - 6 + 4b = 126

2a + 4b = 126 + 6

2a + 4b = 132

2a + 4(a - 6) = 132

2a + 4a - 24 = 132

6a = 132 + 24

6a = 156

a = 26

Now,

a = 26

b = a - 6 = 20

c = 4b = 4 x 20 = 80

Thus,

The numbers are 26, 20, and 80.

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The equation of the axis of symmetry for the given function is x = 1.

To find the equation of the axis of symmetry for the function f(x) = -4x² + 8x - 28, we can use the formula:

x = -b / (2a)

where "a" and "b" are coefficients in the quadratic equation ax² + bx + c.

In this case, a = -4 and b = 8. Plugging these values into the formula, we get:

x = -8 / (2*(-4))

x = -8 / (-8)

x = 1.

The axis of symmetry for a quadratic function in the form of \(f(x) = ax^2 + bx + c\)  can be found using the formula x = -b / (2a).

In the case of the given quadratic function f(x) = -4x² + 8x - 28, the coefficient of \(x^2\) is a = -4 and the coefficient of x is b = 8.

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Answer:

Wow u good and thanks for the points and I love your profile picture

Step-by-step explanation:

Answer:

wE nEeD cRoNa tO DiE

Step-by-step explanation:

Relative frequencies can be used to estimate probabilities occurring in a sampling distribution through the concept of the Law of Large Numbers.

Define the event of interest Determine the specific event or  outgrowth for which you want to estimate the probability in the  slice distribution.   Conduct repeated trials Perform a large number of independent trials or  compliances. Each trial should be done under the same conditions.   Count  circumstances Record the number of times the event of interest occurs within the total number of trials.  

Calculate relative  frequence Divide the count of  circumstances by the total number of trials to  gain the relative  frequence. This represents the proportion of times the event of interest  passed relative to the total number of trials.   reprise  way 2- 4 Repeat the process of conducting trials, counting  circumstances, and calculating relative  frequentness multiple times. The  further trials you perform, the more accurate your estimates will come.  

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