An example of statistical inference is a. a population mean b. hypothesis testing c. calculating the size of a sample d. descriptive statistics

Answer:

$500-$50x

Step-by-step explanation:

The exponential model is N(t) = \(100(1/2)^\frac{t}{15}\), the remains after 60 years is 6.25 grams, and it will take 2/3 years for the sample to decay to 1 gram.

Half-life is the time required for a quantity to reduce to half of its initial value. The term is commonly used in nuclear physics to describe how quickly unstable atoms undergo radioactive decay or how long stable atoms survive. The term is also used more generally to characterize any type of exponential decay.

Given that, a pesticide DDT was used in the US and later banned. The half-life of DDT is about 15 years, we need to find the exponential model for the amount of DDT, A(t), remaining after t years, if the initial sample is 100 grams, how much of the initial sample will remain after 60 years, how many years will it take for the sample to decay to 1 gram,

The formula for half-life =

N(t) = \(N'(1/2)^\frac{t}{t/2}\)

Where,

N(t) = quantity of the substance remaining

N' = initial quantity of the substance

t = time elapsed

t{1/2} = half life of the substance

a) The exponential model for the amount of DDT, A(t), remaining after t years :-

N(t) = \(100(1/2)^\frac{t}{15}\)

b) The remains after 60 years :-

\(N(t) = 100(1/2)^\frac{60}{15}\)

N(t) = 100(1/2)⁴

= 100×(0.0625)

= 6.25 grams

c) Number of years required for the sample to decay to 1 gram :-

1 = \(100(1/2)^\frac{t}{15}\)

1/100 = \((0.5)^\frac{t}{15}\)

Applying log,

log(0.01) = tlog(0.5)

2/3 = t

t = 2/3 years

Hence, the exponential model is N(t) = \(100(1/2)^\frac{t}{15}\), the remains after 60 years is 6.25 grams, and it will take 2/3 years for the sample to decay to 1 gram.

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Answer:

\(f-1(x)= \frac{x}{7} +\frac{1}{14}\)

Step-by-step explanation:

If we have y=7x-1/2, the inverse is where we solve for x instead of y.

We can isolate x to get 7x=y+1/2, then divide by 7 to get x=y/7+1/14.

Therefore,\(f-1(x)= \frac{x}{7} +\frac{1}{14}\)

Hope that helped,

-sirswagger21

Answer:

  2

Step-by-step explanation:

3142 is even, so you only need to test divisibility by 2.

_____

Additional comment

For numbers in the neighborhood of 3142, you would usually consider testing primes up to the square root. That root is about 56, so the largest prime you'd use for testing would be 53.

In general, primes will end in odd numbers other than 5, so the numbers in the neighborhood that might be prime are 3143, 3149. (3141 has a sum of digits of 9, so you know it is divisible by 9. 3147 is 6 more, so is divisible by 3.)

The nearest primes are actually 3137 and 3163.

Answer:

A. The absolute maximum is nothing at x equals nothing, but there is no absolute minimum.

Step-by-step explanation:

The equation is :

f(x) = 2x2 + x2

The function has not absolute maximum value and it has absolute minimum value 0. The both function has maximum value as nothing.

Answer:

Treatment for HIV/AIDS involves taking highly effective medicines called antiretroviral therapy (ART) that work to control the virus [1][2]. ART involves taking a combination of HIV medicines (called an HIV regimen) to suppress the virus and stop the progression of the disease [1]. The goal of treatment is to reduce the amount of HIV in the body and keep it at a low, undetectable level to help prevent further damage to the immune system and reduce the risk of transmitting HIV to others.

Answer:4 times 5

Step-by-step explanation:

y=-2x+5 is the slope-intercept equation for a line that goes through the point (4,-3) and 5 is the value of b.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We have to find the slope-intercept equation for a line that goes through the point (4,-3)--with a slope of -2

m=-2

Now let us find the y intercept

-3=-2(4)+b

-3=-8+b

-3+8=b

5=b

Hence, y=-2x+5 is the slope-intercept equation for a line that goes through the point (4,-3) and 5 is the value of b.

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9514 1404 393

Answer:

  undefined

Step-by-step explanation:

A rational expression is undefined when its denominator is zero.

Step-by-step explanation:

A = 690ft + B

A + B = 1.384ft

(690ft + B) + B = 1.384ft

2B = 1.384ft - 690ft

2B = 694ft

B = 694ft ÷ 2

B = 347ft

A = 690ft + B

A = 690ft + 347ft

A = 1.037ft

Tower A → 1.037 feet

Tower B → 347feet

Answer:

$34.99

Step-by-step explanation:

49.99 - 14.997=

34.99

Answer:

the answer is 34.99

if you want me to explain i will ")

Answer: 31.57

Step-by-step explanation:

41% of 77 is what?

41% of 77 is Y

Equation: P% * X = Y

Solving our equation for Y

Y = P% * X

Y = 41% * 77

Converting percent to decimal:

p = 41%/100 = 0.41

Y = 0.41 * 77

Y = 31.57

To line up the decimals on their decimal points is shown below.

A group of numbers between integers on a number line are known as decimals. They are merely an additional mathematical representation of fractions. Decimals allow us to express measurable quantities like length, weight, distance, money, etc. with greater accuracy. Integers, also known as whole numbers, are represented to the left of the decimal point, while decimal fractions are represented to the right of the decimal point. The next place, which is (1/10)th or tenth place value, is (1/10) times smaller if we move immediately from the first place. For illustration, look at the decimal place value chart for 12.45 that is shown below.

Given:

25.393

-24.138

_______

1.255

To calculate decimal subtraction. first align the decimal

Points of each number, then calculate according to the law of integer

subtraction, and finally align the decimal points on the horizontal line in

the obtained number.

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The compound inequality on the number line is shown below.

We have been given a compound inequality. We are asked to graph the given inequality on number line.    

x>8 and x≤3

The solution for the inequality is all values of x less than or equal to 3 and greater than or equal to 8.

We will have solid dots at  x>-8 and x≤-3 .

One arrow of the number line would be from 3 to left of the number line (towards negative infinity). The other arrow will be from 8 to right side of number line towards positive infinity.

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Answer: 1/125 or 0.008 (simplify 1.125 or should I do it?)

Step-by-step explanation:

Well, when there is a negative sign in the exponent you only move the negative exponents. Moving only negative exponents is recommended because using this rule, you multiply two exponents with the same base and add their powers.

The amount in year 6 is $1282.5.

What is simple interest?

Simple interest is a quick and easy method of calculating the interest charge on a loan. Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments.

Given,

rate of interest = 7%

time = 1 year

Amount on first year = $950

First we will calculate simple interest for 5 years, because amount is available for 1 year.

SI =PRT

SI = 950(7/100)1

SI = $332.5

Therefore, the amount after 6 years = 950+332.5

=$1282.5

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The value of the variable k is 33

Algebraic expressions are simply described as the expressions that consist of variables, terms, coefficients, constants and factors.

These expressions also consist of certain mathematical operations, such as;

From the information given, we have that;

(1/3)k - 4=7

collect the like terns

1/3k = 7 + 4

Add the values

1/3k = 11

cross multiply the values, we have;

k = 11(3)

Multiply the values

k = 33

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Answer:

11/15

Step-by-step explanation:

1 hour = 60 minutes

44 minutes out of 60 minutes is the fraction

44/60 = 11/15

Answer:

60.33. This is your answer hopefully you get it right good luck!!

Answer:

6x^3-5x^2

Step-by-step explanation:

(4x^3+x^2)+2(x^3-3x^2)

4x^3+x^2+2x^3-6x^2

4x^3+2x^3+x^2-6x^2

6x^3+x^2-6x^2

6x^3-5x^2

The simplest form of the given expression \((4x^{3} +x^{2} )+2 (x^{3} -3x^{2} )\) is,

\(6x^{3} - 5x^{2}\).

Here, given expression is,

\((4x^{3} +x^{2} )+2 (x^{3} -3x^{2} )\)

What is simplest form of equation?

The simplest form is the smallest possible equivalent fraction of the number.

Now,

Simplest form of expression,

\((4x^{3} +x^{2} )+2 (x^{3} -3x^{2} )\\4x^{3} +x^{2} +2 x^{3} -6x^{2} \\6x^{3} - 5x^{2}\)

Hence, The simplest form of the given expression \((4x^{3} +x^{2} )+2 (x^{3} -3x^{2} )\) is, \(6x^{3} - 5x^{2}\).

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.No, the strong negative association does not support the idea that beavers benefit beetles.

The solution is as follows:

The number of tree stumps is the explanatory variable, and we expect an increase in the number of tree stumps to induce an increase in the response variable, the number of beetle larvae.

There is a weak negative linear relationship.

Correlation is : -0.916; Slope: -1.286; Intercept: 3.452

The fraction of the variation in the values of the number of beetle larvae that is explained by the least-squares regression with the number of tree stumps is 0.839. This indicates that the strong negative association does not support the idea that beavers benefit beetles.

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Answer:

c light energy

Step-by-step explanation:

I did this quiz in school easy I think

Area of Hexagon having six sides = \(\frac{3\sqrt{3}s^{2} }{2}\)

Hexagons are polygons with six sides and six angles.

Six equilateral triangles make up a regular hexagon, which has six equal sides and six angles. Whether you're dealing with an irregular hexagon or a standard hexagon, there are numerous approaches to figure out the area of a hexagon.

The area of hexagon formula can be calculated in a number of different ways. The various techniques primarily depend on the hexagon's spitting motion.

It can be split into two triangles and one rectangle, or six equilateral triangles. We shall examine numerous approaches to calculating the hexagon's surface area in this post.

According to the given information

Area of Hexagon having six sides = \(\frac{3\sqrt{3}s^{2} }{2}\)

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Trigonometry functions are functions that relate two sides of a given triangle with one of its included angles.

The expression that shows the distance that he walked = x + y + 100

                                                                 = 87 + 50 + 100

                                                                 = 237 yards

Trigonometry functions are functions that relate two sides of a given triangle with one of its included angles. The required function may be a sine function, a cosine function, or a tangent function.

Such that;

The given question can be solved by applying the appropriate trigonometric function.

So that to determine the value of x, we have:

Cos θ = \(\frac{Adjacent}{Hypotenuse}\)

Cos 30 = \(\frac{x}{100}\)

⇒ x = 100 cos 30

      = 100 x 0.866

x = 86.60

Thus, the start of the sidewalk is approximately 87 yards.

To determine the value of sidewalk y, we have:

Sin θ = \(\frac{Opposite}{Hypotenuse}\)

Sin 30 = \(\frac{y}{100}\)

⇒ y = 100 x Sin 30

      = 100 x 0.5

   y = 50

Thus the sidewalk which represents the end of the path is 50 yards.

Therefore, the total distance that he walked = 100 + 87 + 50

                                                                 = 237 yards

The expression that shows the distance that he walked = x + y + 100

                                                                 = 87 + 50 + 100

                                                                 = 237 yards

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The decibel measurement for the quiet room is 54 dB.

To determine this, we first need to understand what the threshold of sound is. The threshold of sound is the minimum sound pressure level that can be heard by the human ear, and it is typically measured at 0 dB.

Next, we can use the formula for decibel measurement:

dB = 10 log (I/I0)

where I is the intensity of the sound in the quiet room, and I0 is the threshold of sound.

Since the noise in the quiet room is 500 times as intense as the threshold of sound, we can plug in the values into the formula:

dB = 10 log (500/1)

dB = 10 log (500)

dB = 10 * 2.7

dB = 27

Therefore, the decibel measurement for the quiet room is 27 dB. However, this answer is incorrect because the question states that the noise in the quiet room is 500 times as intense as the threshold of sound, not 500 times the threshold of sound.

To correct this mistake, we need to use the formula for decibel measurement with the correct values:

dB = 10 log (500 * I0/I0)

dB = 10 log (500)

dB = 10 * 2.7

dB = 27

Therefore, the decibel measurement for the quiet room is 27 dB + 27 dB = 54 dB.

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Answer:

(a) [9, 19]

(b)  \(9 \leq x \leq 19\)

(c)See attachment

Step-by-step explanation:

We want to choose a value of x at least 5 units away from 14.

(a)Now, 14-5=9 and 14+5=19

The possible values of x ranges is in the closed interval [9,19]

(b) Since x is at least 5 units away from 14, we have:

\(|14-x|\leq5\)

Solving the absolute inequality

\(-5 \leq 14-x \leq 5\\$In $ -5 \leq 14-x\\ x \leq 14+5\\x \leq 19\\\\$In $ 14-x \leq 5\\ 14-5 \leq x\\9 \leq x\\$Therefore,an inequality that represents all values of x that meet this constraint is:$\\9 \leq x \leq 19\)

(c)To draw the number line, we use a closed dot since we have a less than or equal to sign.

Inequalities are used to represent unequal expressions.

Represent the value with x.

A value that is at least 5 from 14 can take any of the following forms:

\(\mathbf{14 -x \ge 5}\)

\(\mathbf{x-14 \ge 5}\)

The inequalities can be combined as:

\(\mathbf{|x-14| \ge 5}\)

The values of x are solved as follows:

\(\mathbf{14 -x \ge 5}\)

\(\mathbf{14 - 5 \ge x}\)

\(\mathbf{9\ge x}\)

Rewrite as:

\(\mathbf{x \le 9}\)

Similarly, we have:

\(\mathbf{x-14 \ge 5}\)

\(\mathbf{x \ge 14 + 5}\)

\(\mathbf{x \ge 19}\)

So, we have:

\(\mathbf{x \le 9}\) or \(\mathbf{x \ge 19}\)

This can be combined as:

\(\mathbf{9 \ge x \ u\ x \ge 19}\)

Some possible values of x are: 5 and 20

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Answer:

multiply by 1.07

Step-by-step explanation:

the 1 because he needs to pay 100% of the price and .07 because he needs to pay an extra 7% in tax

Answer: B) (x - 5)(x + 4)

Step-by-step explanation:

we’re looking for x intercepts at x = 5 and x = -4

x - 5 = 0; x = 5

x + 4 = 0; x = -4

(x - 5)(x + 4) is your answer

Answer:

90 degrees

Step-by-step explanation:

as you can see, the blue is a right angle. this means that it is a 90 degree angle :)

Answer:

I think that about 25 degrees it may not be the right anwser thou

Step-by-step explanation: