The graph shows a predicted population as a function of time.
Which statement is true?
As the number of years increases without bound, the
population decreases without bound.
As the number of years decreases, the population
increases without bound.
As the number of years increases without bound, the
population increases without bound.
There is no limit to the population, but there is a limit
to the number of months.

Answer:

it's a) 7a/20b

Step-by-step explanation:

\(5( \frac{a + 2}{4b} ) - 2( \frac{a - 1}{10b} ) + 4( \frac{a - 3}{5b} ) \\ \\ \frac{5a + 10 - 2a + 2 + 4a - 12}{20b } \\ \\ \\ \frac{7a}{20b} \)

Answer:

A

Step-by-step explanation:

ik that the answer

The standard deviation of this binomial distribution is 8, so the answer is (a) 8.

What is the standard deviation?

It is a measure of how spread out numbers are. It is the square root of the Variance, and the Variance is the average of the squared differences from the Mean.

The number of students who are planning to go to graduate school is a binomial random variable with parameters n = 400 and p = 0.2. The standard deviation of a binomial distribution is given by the formula:

standard deviation = sqrt(np(1-p))

where sqrt denotes the square root, n is the sample size, and p is the probability of success.

Substituting n = 400 and p = 0.2 into the formula, we get:

standard deviation = sqrt(400 x 0.2 x (1 - 0.2)) = sqrt(64) = 8

Therefore, the standard deviation of this binomial distribution is 8, so the answer is (a) 8.

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Answer:

its the first graph : A

Step-by-step explanation:

According to the information, it can be inferred that the bees must travel a distance of 4,803,620.82 km to complete the 30 kg of honey that a hive produces.

To calculate the distance that bees register to produce honey we must perform the following operation.

1. Calculate how many kilometers are equal to the circumference of the earth with the following formula 2*pi*R. In this case we replace the R, by the radius of the earth and we will obtain the distance of the circumference of the earth.

\(2\pi r\)

\(2\pi 6,371 km = 40,030.1736\)

2. Once we have identified the circumference of the earth, we must multiply it by four to know how much distance the bee will recover to produce one kg of honey.

40,030.1736 * 4 = 160,120.694

3. Finally we must multiply the distance it takes to produce 1kg by 30 to find the distance it takes to produce 30kg of honey.

160,120,694 * 30 = 4,803,620.82

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the probability of drawing 2 red marbles from the bag will be 0.0455.

Number of Red marbles = 3

Number of blue marbles = 5

Number of green marbles = 4

Total marbles = 3 + 5 + 4 = 12

Probability of drawing 2 red marbles from the bag will be:

P = 3 / 12 × 2 / 11

P = 6 / 132

P = 3 / 66

P = 1 / 22

P = 0.0455

Therefore, the probability of drawing 2 red marbles from the bag will be 0.0455.

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Answer:

27.6 is a rational number

Step-by-step explanation:

A rational number is any number that can be expressed as a fraction. Since 27.6 Since 27.6 can be expressed as 276/10 or 138/3, 27.6 is a rational number.

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Answer:

A)  y= -x+2

B) ( 2, 1)

Answer:

D, C

Step-by-step explanation:

1) y= -x+2

2) (2,1)

the Venn diagram illustrates the relationships a ⊂ b and b ⊂ c, indicating that set a is a subset of set b, and set b is a subset of set c.

In the Venn diagram, we can represent the sets a, b, and c using overlapping circles. Let's label the circles as A, B, and C, respectively. Since a is a subset of b, the circle representing a (A) will be completely contained within the circle representing b (B). This indicates that every element in a is also an element of b.

Similarly, since b is a subset of c, the circle representing b (B) will be completely contained within the circle representing c (C). This indicates that every element in b is also an element of c.

By overlapping the circles A, B, and C, we can visually represent the relationships a ⊂ b and b ⊂ c. The overlapping portion of circles A and B represents the elements that are common to both sets a and b. The overlapping portion of circles B and C represents the elements that are common to both sets b and c.

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The best phrase that describes the shape of the sampling distribution is D as normal because n ≤ 0.05N and np(1-p) ≥ 10.

The sampling distribution of p is the distribution of sample proportions obtained from multiple random samples of the same size from the same population. In this case, the population proportion with the specified characteristic is p = 0.8.

To determine the shape of the sampling distribution, we need to check if the conditions for using the normal approximation to the binomial distribution are met. These conditions are:

1. The sample size is sufficiently large relative to the population size: n ≤ 0.05N
2. The number of successes and failures in the sample are both at least 10: np(1-p) ≥ 10

In this case, n = 125 and N = 25,000, so n ≤ 0.05N is satisfied. We can also calculate np(1-p) as follows:

np(1-p) = 125 x 0.8 x 0.2 = 20

Since np(1-p) ≥ 10, the second condition is also satisfied.

Therefore, the best phrase that describes the shape of the sampling distribution is D. Approximately normal because n ≤ 0.05N and np(1-p) ≥ 10. The correct option is D.

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Answer:

the volume of that cone is 75.36

Step-by-step explanation:

V=πr^2h/3=π·3^2·8/3≈75.39822

Answer:

75.36 yd³

Step-by-step explanation:

Volume of Cone = ⅓♧r²h

Represent pi with ♧ ;

♧ = 3.14

r = 6 yd/2 = 3

h = 8 yd

= ⅓ × 3.14 × 3² × 8

= 75.36 yd³

Answer:

D) (-7/2 , 3/2)

Step-by-step explanation:

(x1+x2/2), (y1+y2/2)

(-6-1/2),(5-2/2)

(-7/2),(3/2)

Answer:

The answer is J.

Step-by-step explanation:

50% of 800 is 400.

125+275=400

Answer:

x=243

\(x = \frac{343}{3} \)

\(x = \frac{121}{2} \)

Answer:

please give me BRAINLIEST answer

Step-by-step explanation:

1. x3 =729

=x = 729/3

x=243

2. x3 =343

x= 343/3

x= 114.33

3. x2= 121

x = 121/2

x = 60.5

Answer:

Below

Step-by-step explanation:

To find the missing amount of lemonade you can use this equation:

     water = x(lemonade)       

     63 = x35

     1.8 = x

Now we know the value of x, we can use this to find the lemonade mix at 45 cups of water :

     45 / 1.8 = 25

Therefore, 25 tbsp of lemonade is required to mix with 45 cups of water

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The statement "a 95% confidence interval for the mean response is the same width, regardless of x" is FALSE.

The width of a 95% confidence interval for the mean response can vary depending on the variability of the data and the sample size.

In general, larger sample sizes result in narrower intervals, while smaller sample sizes result in wider intervals.

Variability refers to the degree to which data or values in a set vary or differ from each other. In other words, it measures the extent to which individual data points in a dataset deviate from the central tendency or the mean.

Additionally, greater variability in the data will lead to wider intervals.

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Answer:

Look at attachment

Step-by-step explanation:

The likelihood that the player's average will be.310 or higher during the following 100 at-bats is. 9267

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

The likelihood of obtaining at least 31 hits in 100 at-bats when the likelihood of getting a hit in each at-bat is.300 must be taken into account in order to calculate the likelihood that the player's average during the subsequent 100 times at bat will be.310 or higher.

The likelihood of obtaining at least 31 hits in 100 at-bats when the likelihood of a hit occurring in each at-bat is.

You may calculate 300 as follows:

P(31 hits or more in 100 at-bats) = 1 - P(30 hits or fewer in 100 at-bats)

When the likelihood of getting a hit in each at-bat is, we can determine the likelihood of getting at least 31 hits in 100 at-bats using the normal approximation. the following 300:

P(31 hits or more in 100 at-bats) = 1 - P(30 hits or fewer in 100 at-bats)

substitute the values in the above equation

= 1 - P(z ≤ (30 - 100(.300)) / √(100(.300)(1 - .300)))

simplifying the equation, we get

= 1 - P(z ≤ -1.44)

= 1 - .0733

= .9267

As a result, there is a roughly.9267 chance that the player's average over his next 100 at-bats will be.310 or higher.

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If r is < 0, then lambda must be:  Less than 0, Less than 1, Greater than 1  and Greater than 0. The correct answers are: A), B), C), and D).

Recall that the exponential growth or decay model is given by the function:

\(y = y0 * e^(rt)\)

where y0 is the initial value of the function, r is the rate of change (growth or decay), t is the time, and e is the mathematical constant approximately equal to 2.71828.

If r < 0, then the function represents exponential decay, and we have:

\(y = y0 * e^(rt)\)

y/y0 = e^(rt)

Taking the natural logarithm of both sides, we get:

ln(y/y0) = rt

r = (1/t) * ln(y/y0)

Since ln(y/y0) is the natural logarithm of a ratio, it can take any real value. Therefore, r can take any negative value, and there is no restriction on the value of lambda (which is\(e^r\)).

So, the correct answers are: A), B), C), and D).

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Answer:

-4.21 ft. below sea level

Step-by-step explanation:

The expression is -45.32 + 41.11, and so you are basically just doing 45.32-41.11, but the answer will be negative.

45.32-41.11=4.21, but the answer is negative, so -4.21.

Answer:

Step-by-step explanation: if you subtract 17 from 16.15 you will get your answer of 0.85 so if you turn that to a percentage you will get .00085

\(z = \frac{0.08 - 0.083}{\sqrt{0.083 * 0.917/100} }\)

  = 0.108

pₐ = P( z < -0.108 ) = 0.4562

So the p-value obtained was a very high value and using the significance level given  we have  so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of people with depression or a depressive illness is not significantly lower than 0.083 (8.3%)

Data given and notation

n = 100 represent the random sample taken

X=8 represent the people with depression or a depressive illness

p = 8/100 = 0.08 estimated proportion of people with depression or a depressive illness

p₀ = 0.083  is the value that we want to test

α = 0.05 represent the significance level  assumed

Confidence = 83% or 0.83  assumed

z  would represent the statistic (variable of interest)

pₐ represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportions of people with depression or a depressive illness is lower than the general adult population value of 8.3% or 0.083:  

Null hypothesis:  

p ≥ 0.083

Alternative hypothesis:  

p < 0.083

When we conduct a proportion test we need to use the z statistic, and the is given by:

\(z = \frac{p- p_{0} }{\sqrt{p_{0} ( 1 - p_{0} )/ n } }\)                       ---------------------  (1)  

The One-Sample Proportion Test is used to assess whether a population proportion  is significantly different from a hypothesized value .

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

\(z = \frac{0.08- 0.083 }{\sqrt{0.083 ( 1 - 0.083 )/ 100 } }\)

 =  - 0.083 / √ 0.0076

 = -0.083 / 0.028

 = -0.108

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level assumed is α = 0.05 . The next step would be calculate the p value for this test.  

Since is a left tailed test the p value would be:  

     pₐ = P( z < -0.108 ) = 0.4562

So the p value obtained was a very high value and using the significance level given  we have  so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of people with depression or a depressive illness is not significantly lower than 0.083 (8.3%).

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The factor for the Expression 7\(z^4\)-5 + 10y³ + 20 is (y³ + 2)

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

Given:

7\(z^4\)-5 + 10y³ + 20

Factorizing the expression

7\(z^4\)-5 +10(y³ + 2)

So, the factor in the expression is (y³ + 2).

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Using the proportion method, we determined that it would take approximately 7.33 hours for the satellite to fly 62866 miles, based on the information provided.

How long it would take for the satellite to fly 62866 miles, we can set up a proportion using the given information.
We know that the satellite flies 70520 miles in 8.2 hours. Let's call the unknown time it takes to fly 62866 miles "x".
Using the proportion:
70520 miles / 8.2 hours = 62866 miles / x
To solve for x, we can cross-multiply:
70520 * x = 62866 * 8.2
Now, divide both sides of the equation by 70520 to isolate x:
x = (62866 * 8.2) / 70520
Calculating the right side of the equation:
x = 516127.2 / 70520
x ≈ 7.33
Therefore, it would take approximately 7.33 hours for the satellite to fly 62866 miles.

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Answer:

scale factor = \(\frac{1}{2}\)

Step-by-step explanation:

the scale factor is the ratio of corresponding sides , image to pre- image

scale factor = \(\frac{DF}{AC}\) = \(\frac{6}{12}\) = \(\frac{1}{2}\)

Answer:

p = -8

Step-by-step explanation:

Step 1: Write equation

7(p + 3) + 9 = 5(p - 2) - 3p

Step 2: Solve for p

Step 3: Check

Plug in x to verify it's a solution.

Answer:

x(x+6)(x-4)

Step-by-step explanation:

They all have x in it, which means we can factor out x first.

x(x^2 + 2x -24)

Now we can factor out the inside doing algebra.

Since 6 multiplied by -4 gives us -24 and adding them gives us 2, 6 and -4 works. This means that we can factor out (x+6) and (x-4).

We still have to multiply the x from the beginning, giving us a final equation of

x(x+6)(x-4).

Answer:

functions: first one, third one, fifth one, seventh one, eigth one

the rest are not function

Step-by-step explanation:

if it is a function it either passes the line test or it doesnt have two outputs

The length of the curve is approximately 38.742 units.

To find the length of the curve defined by the parametric equations x = \((1/2)t^2 and y = (1/12)(8t + 16)^{(3/2)\), where 0 ≤ t ≤ 1, we can use the arc length formula for parametric curves:

L = ∫[a,b] √(dx/dt)^2 + (dy/dt)^2 dt

Let's calculate the derivatives first:

dx/dt = t

dy/dt = (8/12)(3/2)(8t + 16)^(1/2) = (4/3)(8t + 16)^(1/2)

Now, we can substitute these derivatives into the arc length formula:

L = ∫[0,1] √(t^2 + (4/3)^2(8t + 16)) dt

Simplifying the expression inside the square root:

L = ∫[0,1] √(t^2 + 64t + 256/9) dt

To integrate this expression, we can complete the square inside the square root:

L = ∫[0,1] √((t^2 + 64t + 1024/9) + 256/9 - 1024/9) dt

 = ∫[0,1] √((t + 32/3)^2 - 768/9) dt

 = ∫[0,1] √((t + 32/3)^2 - 256/3) dt

Let u = t + 32/3. Then, du = dt, and the integral becomes:

L = ∫[-32/3,1 + 32/3] √(u^2 - 256/3) du

Now, we can express the integral limits in terms of u:

L = ∫[-32/3,35/3] √(u^2 - 256/3) du

This is an integral of the form √(a^2 - u^2), which is the formula for the arc length of a semicircle. In this case, a = √(256/3) = 16/√3.

Therefore, the length of the curve is:

L = ∫[-32/3,35/3] √(u^2 - 256/3) du

 = (16/√3) ∫[-32/3,35/3] du

 = (16/√3) [u]_(-32/3)^(35/3)

 = (16/√3) [(35/3 + 32/3) - (-32/3)]

 = (16/√3) (67/3)

 = (16/3√3) (67/3)

 ≈ 38.742

Therefore, the length of the curve is approximately 38.742 units.

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Answer:

d)

Step-by-step explanation:

As it always n X n, from first row, there is 1 or 1 X 1, the second row is 4 which is 2 X 2, then keep going, so for nth row, there will be n X n cube.

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