If the null hypothesis is rejected by a one-tailed hypothesis test, then it will also be rejected by a two-tailed test. True False

The absolute maximum and  minimum value of f(x) on the interval [-7, 16] is 2.358, -2.358 at x = 8 and x = -8

To find the absolute maximum and absolute minimum values of the function \(f(x) = x*e^{(-x^2/128)}\) on the interval [-7, 16], we need to look for the critical points and the endpoints of the interval.

First, let's find the critical points by taking the derivative of f(x) and setting it equal to zero:

\(f(x) = x*e^{(-x^2/128)}\)

\(f'(x) = e^{(-x^2/128)} - (x^2/64)*e^{(-x^2/128)}\)

Setting f'(x) equal to zero, we get:

\(e^{(-x^2/128)} - (x^2/64)e^{(-x^2/128)} = 0\)

\(e^{(-x^2/128)(1 - x^2/64) }= 0\)

So either\(e^{(-x^2/128)} = 0\) (which has no solutions), or\(1 - x^2/64 = 0\), which gives us x = ±8.

Next, we need to check the endpoints of the interval:

\(f(-7) = -7e^{(-49/128)} \approx -0.091\)

\(f(16) = 16e^{(-256/128)} \approx 0.090\)

Now we can compare the values of f(x) at the critical points and endpoints to find the absolute maximum and absolute minimum values:

f(-7) ≈ -0.091

\(f(8) = 8e^{(-64/128)} \approx 2.358\)

\(f(-8) = -8e^{(-64/128)} \approx -2.358\)

f(16) ≈ 0.090

So the absolute maximum value of f(x) on the interval [-7, 16] is approximately 2.358, and it occurs at x = 8.

The absolute minimum value of f(x) on the interval [-7, 16] is approximately -2.358, and it occurs at x = -8.

Learn more about maximum and minimum values

brainly.com/question/14316282

#SPJ11

Answer:

50m/s

Step-by-step explanation:

Speed = Distance / Time:

Speed = \(\frac{200}{4}\) = \(50 m/s\)

Answer:

50mps

Step-by-step explanation:

divide 200 by 4

Answer:

2x4=8+3=11

Step-by-step explanation:

first multiply 2 times 4 equals 8 and add 3 which equals 11.

Step-by-step explanation:

|y + 8| - 5 = 2

|y + 8| = 7

Either y + 8 = 7 or y + 8 = -7.

Hence y = -1 or y = -15.

The quiz scores of Rich Borne's Chemistry 101 students are as follows: 24, 31, 47, 29, 31, 16, 48, 41, 50, 54, 37, 22, 54, 38, 7, and 16.the performance of Rich Borne's Chemistry 101 students on the quiz

To analyze this data, we can calculate various descriptive statistics such as the mean, median, mode, range, and standard deviation. The mean (average) score can be obtained by summing up all the scores and dividing by the total number of scores. The median represents the middle value when the scores are arranged in ascending order. The mode refers to the most frequently occurring score. The range is the difference between the highest and lowest scores, indicating the spread of the data. The standard deviation measures the variability or dispersion of the scores around the mean.

By calculating these descriptive statistics, we can gain insights into the performance of Rich Borne's Chemistry 101 students on the quiz and understand the central tendency and variability of their scores.

know more about descriptive statistics :brainly.com/question/30764358

#SPJ11

Answer:

90cm2

Step-by-step explanation:

1/2x base x height.

1/2 x10 x 18

90cm2

Answer:

is finding the square root

The inverse operation of squaring a number is finding the square root of that number. The square root of a number "x" is the value that, when squared, gives the original number.

When a number is squared, it is multiplied by itself. For example, squaring the number 4 gives 4^2 = 16.

The inverse operation undoes the effect of squaring and returns you to the original number. In this case, finding the square root of a number is the inverse operation of squaring.

The square root of a number "x" is a value that, when squared, gives the original number. It is denoted by the symbol √x.

For example, if you have the number 25 and you want to find its square root, you calculate:

√25 = 5

5 is the square root of 25 because when you square 5 (5^2), you get 25.

The inverse operation of squaring a number is finding the square root of that number. The square root of a number "x" is the value that, when squared, gives the original number. The concept of square root and squaring are inverse operations that are used in various mathematical calculations and problem-solving.

To know more about Inverse, visit

brainly.com/question/3831584

#SPj11

The angle of BDC is 60 degrees.

The angle sum property of a triangle states that the sum of a triangle's three internal angles is 180 degrees. A triangle is a closed figure made up of three line segments that have both internal and external angles. When the values of the other two angles are known, the measure of an unknown interior angle can be determined using the angle sum property.

The data listed above can be inserted into our diagram. ADB and BDC complement one another, therefore their combined degree measurement is 180. Thus, m∠ADB is equal to 180 – 60, or 120 degrees.

Given,

∠ADC = 59

∠BDC = ?

∠ADB = ∠BCD

∠BCD = 90

∠ADB = 90

∠ADC = 59

∠ADB + ∠BDC = 59

90 + ∠BDC = 59

∠BDC = -31

To learn more about BDC measure from the given link.

https://brainly.com/question/28602738

#SPJ9

The total number of possible 7-place license plates are 67600000.

Given: A 7-plate license plate. 2 places are for letters and 5 places are for numbers. To find how many different 7-plate license plates are possible

Let's solve the given problem:

The license plate has 7 places. 2 places are for letters and the remaining 5 places are for numbers.

Therefore, the total number of ways in which the 7-place license plate can fill are: Total possible ways in which the two letters can be filled × Total possible ways in which the 5 number places can be filled

= 676 × 100000

= 67600000 ways

Hence the total number of possible 7-place license plates are 67600000.

Know more about "permutations and combinations" here: https://brainly.com/question/13387529

#SPJ6

The required equivalent fractions for 1 10/15 and 9/12.

Given, two mixed fractions 1 2/3 and 3/4, determine equivalent fractions using 15 as the common denominator.

Simplification:

The process in mathematics of manipulating and interpreting functions to make a function or expression simpler or easier to understand is called simplification, and the process is called simplification.

1. Simplify fractions by canceling all common factors of the numerator and denominator and writing the fraction in its lowest/simplest form.

2. Simplify mathematical expressions by grouping and combining similar terms. This makes expressions easy to understand and solve.

According to the Question:

Here,

First

= 1 2/3

= 1+ 2 / 3

= 1 + 2 × 5 / 3 × 5

= 1 + 10 / 15

Again,

Second,

=  3 / 4

=  3 × 3 / 4 × 3

= 9/12

Thus, the required equivalent fractions for 1 10/15 and 9/12.

Learn more about Equivalent :

https://brainly.com/question/14672772

#SPJ4

answer is 15 explained in image .

Answer:

8 cm and 9 cm

Step-by-step explanation:

In order to find out, you add both 8 and 9 together. If the sum is above/higher than the number 13, they can all be made into a triangle. 8+9 is 17 and 17 is higher than 13.

hope this helps!

Answer:

t=-61.1

Step-by-step explanation:

You first want to isolate t. You have to multiply both sides by 6.5 to make t by itself. 6.5x9.4=61.1. This will make the equation -t=61.1. You wan to make t positive so we have to divide each side by -1. t=-61.1. This means that t=-61.1

If this answer has helped you please mark as brainliest

Answer:

(9a³ − 10)(9a³ + 10)

Step-by-step explanation:

Difference of squares

(9a³ − 10)(9a³ + 10)

Answer:

What is the factorization of 81a6 - 100?

Step-by-step explanation:

Oct 2021 Edge

Therefore, the charge enclosed by the spheres of radii 5 cm, 10 cm, and 20 cm are:Qencl = 0.0004 C and Qencl = 0.0036 C and Qencl = 0.0288 C.

To find the charge enclosed by spheres of radii 5 cm, 10 cm and 20 cm,

we need to use Gauss’s Law, which relates the electric flux through a closed surface to the charge enclosed by that surface. It states that the electric flux through a closed surface is proportional to the charge enclosed by that surface. Mathematically, Gauss’s Law is expressed as:

φE = Qencl/ε0

where,φ

E = electric flux through the surface

Qencl = charge enclosed by the surfaceε0 = permittivity of free space

Now, we have to find the charge enclosed by the spheres of radii 5 cm, 10 cm, and 20 cm.

Since the spheres have uniform charge distributions, the electric field inside the sphere is uniform and can be taken as E = Q/4πεr² where Q is the total charge on the sphere, r is the radius of the sphere, and ε is the permittivity of free space.

So, we have

Q = E × 4πεr²Q = k × QenclQencl = Q/k

where k = 1/4πε0Now, using the expression for charge enclosed, we can find the charge enclosed by each sphere:

Charge enclosed by sphere of radius 5 cmQencl = Q/k

Qencl = E × 4πεr²/k

Qencl = (9 × 10⁹ Nm²/C²) × [(3 × 10⁻⁵ m)² × 4π]/(1/4πε₀)

Qencl = 3πε₀ × (0.005m)² × 9C

Charge enclosed by sphere of radius 10 cmQencl = Q/k

Qencl = E × 4πεr²/kQencl = (9 × 10⁹ Nm²/C²) × [(10 × 10⁻⁵ m)² × 4π]/(1/4πε₀)

Qencl = 3πε₀ × (0.01m)² × 9CCharge enclosed by sphere of radius 20 cm

Qencl = Q/k

Qencl = E × 4πεr²/k

Qencl = (9 × 10⁹ Nm²/C²) × [(20 × 10⁻⁵ m)² × 4π]/(1/4πε₀)

Qencl = 3πε₀ × (0.02m)² × 9C

Therefore, the charge enclosed by the spheres of radii 5 cm, 10 cm, and 20 cm are:

Qencl = 0.0004 C

Qencl = 0.0036 C

Qencl = 0.0288 C

To know more about spheres visit:

https://brainly.com/question/22849345
#SPJ11

Answer:

139.5

Step-by-step explanation:

cos(angle) = adjacent/hypotenuse

cos(55) = 80/x

x*cos(55) = 80

x = 80/cos(55)

x = 139.4757

x = 139.5 (rounded)

Answer:

Step-by-step explanation:

90 + 55 + a = 180

145 + a = 180

a = 180 -145

a = 35

secQ = B/H

1.3 = 80 / x

x = 80/1.3

x = 61.6

"0" was the gift tax in 2018.

Gift taxes are paid by either the giver or the recipient?

A gift tax is not present. There is no gift tax because gifts up to $15,000 are tax-free.

Learn more about gift tax

brainly.com/question/20166159

#SPJ4

Answer:

D: a² + ab + b²

Step-by-step explanation:

The general formula used for factoring a difference in cubes is;

a³ - b³ = (a - b)(a² + ab + b²)

Thus, the factors are either;

(a - b) or (a² + ab + b²)

Looking at the given options, the only one that is a factor is (a² + ab + b²) which is option D.

Answer:

the answer (a-b) (a^2-ab+b^2)

Step-by-step explanation:

I took the quiz ;)

We can see that there is at least one row where all premises are true (row 7), but the conclusion is false. Therefore, the argument is invalid.

To construct a symbolic model of the argument, let's define the following symbols:

P: Jayco qualifies as a small business.

Q: Jayco has sales that are not large enough to influence its environment.

R: Jayco is privately owned by a small group of individuals.

Now we can represent the statements in symbolic form:

Premise 1: P ≡ (Q • R)

Premise 2: ~P

Conclusion: ~R

To determine if the argument is valid or invalid, we can construct a truth table:

| P | Q | R | P ≡ (Q • R) | ~P | ~R |

|---|---|---|-------------|----|----|

| T | T | T |      T      |  F |  F |

| T | T | F |      F      |  F |  T |

| T | F | T |      T      |  F |  F |

| T | F | F |      F      |  F |  T |

| F | T | T |      F      |  T |  F |

| F | T | F |      T      |  T |  T |

| F | F | T |      F      |  T |  F |

| F | F | F |      T      |  T |  T |

From the truth table, we can see that there is at least one row where all premises are true (row 7), but the conclusion is false. Therefore, the argument is invalid.

Learn more about argument from

https://brainly.com/question/29980980

#SPJ11

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.

Learn more about domain of a function on https://brainly.com/question/28599653

#SPJ1

Answer:

see answers down below

Step-by-step explanation:

The works man family is driving at a speed of 55 miles per hour

Their cousins family drives at 75 miles and hour.  (use the miles/hours ratio like I told you in the last answer)

900 miles/75 miles traveled by their cousins each hour equals 12 hours.

If the works man family is driving at 55 miles and hour, 900 miles needed to be traveled/ 55 miles an hour equals 16.3636363636.  This is more than 12 hours, and that means that their cousins will arrive first.  Hope this helps!

A. To transform triangle XYZ to AX'Y'Z', following sequence of transformations is applied: Translation, Rotation, Dilation.

Transformations of a triangle are changes made to the position, size, or orientation of the triangle in a coordinate plane.

There are four types of transformations that can be applied to a triangle.

A. To transform triangle XYZ to AX'Y'Z', the following sequence of transformations can be applied:

Translation: Translate triangle XYZ so that point X coincides with point X'. This can be done by moving the entire triangle 6 units to the left and 8 units up.

Rotation: Rotate the translated triangle around point X' by an angle of 135 degrees in the counterclockwise direction. This can be done by applying a rotation matrix:

[ cos(135)  -sin(135)   0 ]   [ x ]

[ sin(135)   cos(135)   0 ] * [ y ]

[    0          0       1 ]   [ 1 ]

Dilation: Dilate the rotated triangle with center X' by a scale factor of 1/2. This can be done by multiplying the coordinates of each point by 1/2 with respect to point X'.

B. No, a dilation alone is not enough to show similarity of two figures. Similarity of two figures requires that the figures have the same shape but not necessarily the same size. In addition to dilation, the figures could be subject to other transformations such as translation, rotation, and reflection. Therefore, to show similarity between two figures, it is necessary to demonstrate that the corresponding angles of the figures are congruent and that the corresponding sides are proportional.

To know more about dilation visit:

https://brainly.com/question/11013578

#SPJ1

The formula that you must used to determine the circumference of a circle is C = \(\pi\)d

First things first, substitute your diameter into the formula provided above,

C = \(\pi\)(3.14)(4)

Next you've substituted the diameter into the formula, you may calculate it.

C = \(\pi\)(3.14)(4) = 12.57

Finally, it has been determined that the answer to your question is 12.57

Answer: it’s A

Step-by-step explanation:

I chose b and got it wrong and showed that it was a

Answer:

150

Step-by-step explanation:

180 divide by six is 30 and 30 times 5 is 150

The logarithm base 10 of the number 10 is 1

We have to find logarithm base 10 of number 10.

Therefore, using logarithm rule

logₐ a = 1

Hence,

log₁₀ 10 = 1

Therefore, logarithm base 10 of the number 10 is 1

learn more on logarithm here: https://brainly.com/question/13594713

#SPJ1

Answer:

1

Step-by-step explanation:

Answer:

n = 2

Step-by-step explanation:

0.5n - 2 - 3 = 3 - 2n -3

0.5n + 2n = 2 + 3 + 3 -3

2.5n = 5

n = 2

Answer:

Step-by-step explanation:

0.5n - 2 - 3 = 3 - 2n - 3

Solving like terms

0.5n - 5 = - 2n

-5 = - 2n - 0.5n

-5 = - 2.5n

-5/-2.5 = n

2 = n

Disruptive selection is a type of natural selection that favors extreme values of a trait while reducing the fitness of individuals with intermediate values. This pattern occurs when the environment or selective pressures favor individuals at both ends of the phenotype distribution.

Disruptive selection occurs when individuals with extreme phenotypes have higher fitness compared to those with intermediate phenotypes. This can happen in various scenarios. For example, in a habitat with two distinct resource types, individuals with specialized traits for each resource type may have higher survival or reproductive success, leading to the maintenance of two distinct phenotypes.

In disruptive selection, the selection pressure against intermediate phenotypes reduces their fitness, causing a bimodal distribution where individuals at the extremes have higher relative fitness compared to those in the middle. Over time, disruptive selection can result in the divergence of the population into two or more distinct forms, potentially leading to the formation of new species if reproductive isolation occurs.

This type of selection can play a significant role in shaping the evolution and adaptation of populations by promoting and maintaining phenotypic diversity in response to selective pressures.

To learn more about disruptive selection, click here: brainly.com/question/29161682

#SPJ11