Determine whether the function can be obtained from the parent function, y=xⁿ , using basic transformations. If so, describe the sequence of transformations. y=2(x-3)²+5 .

Answer:

0.50 :)

Step-by-step explanation:

The probability of the union of being either a freshman or junior is 0.50

"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."

P(A) = n(A)/n(S)

where,  n(A) is the number of favorable outcomes,

n(S) is the total number of events in the sample space.

For given example,

Students have equal probabilities of being freshmen, sophomores, juniors, or seniors.

⇒ P(freshman) = 0.25

⇒ P(sophomores) = 0.25

⇒ P(juniors) = 0.25

⇒ P(seniors) = 0.25

We know for event A and B,

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

Assuming event A : student is a freshman

event B : student is junior

P(A) = 0.25

P(B) = 0.25

The number of students who are freshman as well as junior = 0

⇒ n(A ∩ B) = 0

⇒ P(A ∩ B) = 0

Now, the probability of the union of being either a freshman or junior would be,

⇒ P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

⇒ P(A ∪ B) = 0.25 + 0.25 - 0

⇒ P(A ∪ B) = 0.50

Therefore, the probability of the union of being either a freshman or junior is 0.50

Learn more about probability here:

brainly.com/question/11234923

#SPJ2

Answer: 3.6

Step-by-step explanation:

Step 1:  30/100 = x/12

Step 2: Multiply 12x30 and then divide it by 100

The solution to the equation \(7^(2x) = 75\) rounded to the nearest hundredth, is approximately x = 0.51.

To solve the equation \(7^(2x) = 75\), we need to isolate the variable x. We can achieve this by taking the logarithm of both sides of the equation. Since the base of the exponential function is 7, it is convenient to use the logarithm with base 7 (log base 7).

Taking the logarithm of both sides gives us:

\(2x * log_{7} (7) = log₇(75)\)

Using the logarithmic property, we can bring down the exponent:

\(2x * log_{7} (7) = log₇(75)\)

Since log₇(7) equals 1, we have:

2x = log₇(75)

Now, we can solve for x by dividing both sides by 2:

x = (1/2) * log₇(75)

Using a calculator, we can evaluate log₇(75) and then calculate the value of x. Rounded to the nearest hundredth, x is approximately 0.51. Therefore, the solution to the equation 7^(2x) = 75 is x ≈ 0.51.

Learn more about logarithm here:

https://brainly.com/question/30226560

#SPJ11

The proportion statement is 2/3. The missing angles are CK = 12, GN = 15 and GT = 9

Given that: Polygon ROCK ~  Polygon GNAT.

The symbol ~ means the polygons are similar to each other. That means the ratios of all their corresponding sides are the same. Thus:

CO/AN = 4/6 = 2/3 (This is the proportion statement)

We can also say CK/AT= 2/3 because the ratios of all their corresponding sides are the same

With this, we can determine  the missing sides:

CK/AT= 2/3     where AT = 18

CK/18= 2/3

CK = (18×2)/3 = 12

OR/GN = 2/3    where OR = 10

10/GN = 2/3

2GN = 10×3

2GN = 30

GN = 30/2 = 15

KR/GT = 2/3   where KR = 6

6/GT = 2/3

2GT = 6×3

2GT = 18

GT = 18/2 = 9

Therefore, the proportion statement is 2/3, and the missing angles are CK = 12, GN = 15 and GT = 9

Learn more similar polygons on:

https://brainly.com/question/14585072

#SPJ1

we need to find the values of sin(10°) and cos(10°) to compute sin(20°).

To find the value of sin 20°, we can use the trigonometric identity sin(2θ) = 2sin(θ)cos(θ).

Given sin(θ) = √3/2 and 0° < θ < 90°, we can find the value of sin 20° as follows:

sin(20°) = 2sin(10°)cos(10°)

We need to find the values of sin(10°) and cos(10°) to compute sin(20°).

Given cos(θ) = -√2/2 and -π/2 < θ < 0, we can find the value of sin 20° as follows:

sin(20°) = 2sin(10°)cos(10°)

Similarly, we need to find the values of sin(10°) and cos(10°) to compute sin(20°).

Since you provided conflicting information for the values of sin 0 and cos 0, it is not possible to determine the value of sin 20° without accurate values for sin 0 and cos 0. Please provide the correct values, and I will be happy to help you further.

Learn more about   value from

https://brainly.com/question/24078844

#SPJ11

Answer:

2/3

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

In order to get an equivalent fraction you have to divide/multiply both the numerator and the denominator by the same number. 6/9 you can divide both numbers by 3. 6/3=2 and 9/3=3 so your new fraction is 2/3.

Answer:

$62

Step-by-step explanation:

Take $46.50 and divide it by 3 to get 1/4 of the paycheck

46.50/3 = 15.50

Then multiply 15.50 by 4 to get the whole pay check

15.50 x 4 = 62

Answer:

The hand moved \(\bf \frac{3}{4}\) of a complete turn.

Step-by-step explanation:

The hand moved from 3 to 12, that is, it moved:

12 - 3 = 9 hours

In a clock, 12 hours represent a complete turn.

∴ Using the unitary method:

12 hours    ⇒     1 turn

1 hour        ⇒     \(\frac{1}{12}\) turns

9 hours     ⇒     \(\frac{1}{12}\)  × 9 = \(\frac{9}{12}\)

                                     = \(\bf \frac{3}{4}\) turns    (simplified)

∴ The hand moved \(\bf \frac{3}{4}\) of a complete turn.

The answer is  \(\boxed{\frac{3}{4}}\).

To find the fraction of a complete turn it moved in this case, take the ratio between hours covered between 3 and 12, and the hours covered in a complete turn.

The number of ways to chose a president, vice president, secretary, and treasurer of the club, where no person can hold more than one office is 11880.

If the person cannot hold more than one office.

Then the number of ways of selecting a president, vice president, secretary and treasurer of the club from the club consisting of 12 member is given by the permutation ¹²P₄.

Because we have to select four member out of 12,

So, solving further,

= ¹²P₄

= 12!/(12-4)!

= 12!/8!

= 12 x 11 x 10 x 9

= 11880.

So, there are a total of 11880 ways to chose the members.

To know more about permutation, visit,

https://brainly.com/question/1216161

#SPJ4

Complete question - A club has 12 members A president, a vice president, a secretary, and a treasurer are to be chosen from these members. A member cannot serve for more than one position. In how many ways can this be down?

The calculated value of the test statistic is approximately 6.40.

To test the hypothesis that job satisfaction is the same at Baruch College and Brooklyn College, we can use a two-sample t-test.

The null hypothesis (H0) assumes that the means of the two populations are equal, while the alternative hypothesis (Ha) assumes that the means are not equal.

H0: μ1 = μ2 (Mean job satisfaction at Baruch College is equal to mean job satisfaction at Brooklyn College)

Ha: μ1 ≠ μ2 (Mean job satisfaction at Baruch College is not equal to mean job satisfaction at Brooklyn College)

We can calculate the test statistic using the formula:

t = (x1 - x2) / sqrt((s1^2 / n1) + (s2^2 / n2))

where x1 and x2 are the sample means, s1 and s2 are the sample standard deviations, n1 and n2 are the sample sizes.

Given the data:

Baruch College: mean job satisfaction score (x1) = 83.0, standard deviation (s1) = 15, sample size (n1) = 150.

Brooklyn College: mean job satisfaction score (x2) = 73.0, standard deviation (s2) = 12, sample size (n2) = 100.

Calculating the test statistic:

t = (83.0 - 73.0) / sqrt((15^2 / 150) + (12^2 / 100))

t = 10 / sqrt(1 + 1.44)

t ≈ 10 / sqrt(2.44)

t ≈ 10 / 1.561

t ≈ 6.40

To learn more about statistic visit:

brainly.com/question/32201536

#SPJ11

Answer:

12

Step-by-step explanation:

27/18 = 1.5   18/1.5 = 12 meals enough for 18

Answer:

Step-by-step explanation:

The conditional probability that a randomly chosen student is left-handed, given that the student is a boy, can be represented as:

P(left-handed|boy) = P(left-handed and boy)/P(boy) = 3/16

The conditional probability that a randomly chosen student is left-handed, given that the student is a girl, can be represented as:

P(left-handed|girl) = P(left-handed and girl)/P(girl) = 2/14

Both expressions are examples of conditional probability, as they show the probability of one event (left-handed) given that another event (boy or girl) has occurred.

Answer:

(-2, 6)

Step-by-step explanation:

We can simply do this by plugging in all of the coordinates. (I did this in my head quickly, so I know what it is; I'm just going to plug in the correct answer.) The correct answer is (-2, 6), so we're just going to plug them into the simplest equation, which is probably y=-3x. So...

6=-3(-2)

6=6

This answer is correct. If you're unsure about the answer, you can always check in the other equation. So...

3(-2)+2(6)=6

-6+12=6

6=6

Hope this helps and have an amazing day ^^

Answer:

11.22 to the nearest tenth is 11.2

2.633 to the nearest tenth is 2.6

if you add them together to the nearest tenth it is 13.9

if you add them together when they're already at the nearest tenth it is 13.8

Step-by-step explanation:

Answer:

please see answers below

Step-by-step explanation:

1) 5/10 X 5 = (5 X 5)/ 10 = 25/10 = 2.5

2) 3/5 X 10 = (3 X 10) /5 = 30/5 = 6

3) 5/6 X 3 = (5 X 3)/6 = 15/6 = 5/2 = 2.5

4) 5/6 X 12 = (5 X 12)/6 = 60/6 = 10

5) 3/5 X 20 = (3 X 20)/5 = 60/5 = 12

6) 2/3 X 8 = (2 X 8)/3 = 16/3

7) 2/9 X 3 = (2 X 3)/9 = 6/9 = 2/3

8) 4/7 X 21 = (4 X 21)/7 = 84/7 = 12

In math, protractors are essential tools for measuring and determining vertical and adjacent angles.

In the study of geometry, angles play a fundamental role, and accurately measuring them is crucial for solving various mathematical problems. When it comes to vertical and adjacent angles, a key tool used by both students and professionals is the protractor. A protractor is a DIY (do-it-yourself) tool that allows for precise angle measurement and identification.

With a protractor, one can easily determine the size of vertical angles, which are formed by intersecting lines or rays that share the same vertex but point in opposite directions. These angles have equal measures. Similarly, adjacent angles are formed when two angles share a common side and a common vertex but do not overlap. By using a protractor, one can measure the individual angles and determine their relationship to each other.

Learn more about Protractors

brainly.com/question/3229631

#SPJ11

Answer:

The answer is C. 8x - 4

Step-by-step explanation:

Eliminate the redundant parentheses.

(3x - 5) + (5x + 1)

3x - 5 + 5x + 1

Add the numbers.

3x - 5 + 5x + 1

3x - 4 + 5x

Combine like terms.

3x - 4 + 5x

8x - 4

Substituting a cumulative area of 0.2420, a mean of 0, and a standard deviation of 1 into the inverse normal distribution, the z-score is -0.71 to two decimal places.

Given that the cumulative area of 0.2420, a mean of 0, and a standard deviation of 1, the required z-score has to be determined.We know that the standard normal distribution with mean 0 and standard deviation 1 is denoted as N(0, 1). The inverse normal distribution with a cumulative area of x is the inverse of the normal distribution with cumulative area x. Let z be the z-score corresponding to a cumulative area of x, then we can say that P(Z ≤ z) = x, where P is the cumulative distribution function of the standard normal distribution.

Substituting the given values in the formula, we get:0.2420 = P(Z ≤ z)We need to find the corresponding z-value using inverse normal distribution. Therefore, we take the inverse of the cumulative distribution function, as follows:z = invNorm(0.2420)z = -0.71 (rounded to two decimal places)Thus, the required z-score is -0.71.

To know more about deviation visit:

https://brainly.com/question/29758680

#SPJ11

Answer:

the y-intercept is 5

Step-by-step explanation:

given the linear function, y=mx+b, b is the y-intercept

hope this helps

Answer:

y- intercept = 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 7x + 5 ← is in slope- intercept form

with y- intercept c = 5

Unit walking rate in miles per hour = 5 2/3 / 2 2/3 = 17/3 / 8/3 = 17/3 x 3/8 = 17/8 = 2 1/8 miles per hour.

Unit walking rate in hours per mile = 1/ 17/8 = 8/17 hours per mile.

~you did not write the question properly but i guess this your needed answer

Answer:

f(x) = -1/x^2 + 4e^x + 5x + 1 + 1/x - 4e^(-1)

Step-by-step explanation:

We can find the function f(x) by integrating f'(x) with respect to x:

â«f'(x) dx = â«(2/(x^3) + 4e^x + 5) dx

f(x) = -1/x^2 + 4e^x + 5x + C

To find the constant C, we can use the given initial conditions:

f(-1) = 1 = -1/(-1)^2 + 4e^(-1) - 5 + C

C = 1 + 1/1 - 4e^(-1)

f(x) = -1/x^2 + 4e^x + 5x + 1 + 1/x - 4e^(-1)

Therefore, the function f(x) is:

f(x) = -1/x^2 + 4e^x + 5x + 1 + 1/x - 4e^(-1)

Answer:

y = 8·√3

Step-by-step explanation:

From the drawing of the right triangle, we have;

The length of the opposite leg to the given 60° (reference) angle = 12

The length of the adjacent leg to given 60° (reference) angle = x

The length of the hypotenuse side = y

By trigonometric ratios, we have;

\(sin(Reference \, Angle) = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length}\)

Therefore, we have;

\(sin(60^\circ) = \dfrac{12}{y}\)

From the value of sin(60°), we have;

\(sin(60^\circ) = \dfrac{\sqrt{3} }{2}\)

\(\therefore y= \dfrac{12}{sin(60^\circ) } = \dfrac{12}{\dfrac{\sqrt{3} }{2} } = \dfrac{2 \times 12 \times \sqrt{3} }{{{3} } } = \dfrac{24 \times \sqrt{3} }{{{3} } } = 8 \cdot \sqrt{3}\)

y = 8·√3

\(\left(x= \dfrac{12}{tan(60^\circ) } = \dfrac{12}{{\sqrt{3} } } = 4\cdot \sqrt{3} \right)\)

Answer:

480 bagels

Step-by-step explanation:

We can use a ratio to solve

200 bagels          x bagels

------------------ = --------------

10 hours          24 hours

200 * 24 = 10x

Divide each side by 10

200 * 24/10 = 10x/10

480 =x

Answer:

480

Step-by-step explanation:

The smallest value within the class is the lower class limit, and the largest value within the class is the upper class limit.

A class limit is a set of boundary values in the form of a range that describes the lowest and highest data values that a class can contain. The lower class limit refers to the smallest data value in a class, whereas the upper class limit refers to the largest data value in a class. The width of a class is determined by the difference between the upper and lower class limits. Here are a few examples to give you a better understanding of how this works:

Class:              5-9 5 9

Lower Limit:    10-14 10 14

Upper Limit:    15-19 15 19

This shows class limits for three different classes.

Know more about class limits, here:

https://brainly.com/question/29027902

#SPJ11

Answer:

Hey mate....

Step-by-step explanation:

This is your answer....

Yes, because a equilateral triangle has 3 equal angles. The 3 angles of a triangle equal 180°. So if the angles are all equal in an equilateral triangle, we do 60 times 3 which equals 180°.

hope it helps you,

Mark me as the brainliest.....

Follow me!

Answer:

what are the answer choices ma'am or sir

Step-by-step explanation:

Answer:

x-0.3

Step-by-step explanation:

Answer:

Step-by-step explanation:

You need to convert all into decimals or all into fractions to compare

4 1/6= 4.166666

4.73

41/10= 4.1

4.168

Order:

   41/10      4 1/6      4.168    4.73

Answer:

here's the list of numbers in order from least to greatest:

4 1/6, 4.160, 41/10, 4.73.

Answer: Option (d).

Step-by-step explanation:

it is given that B is between A and C.

Using segment addition property, we get

\(AC=AB+BC\)

The given values are AB = 46, BC = 12x, and AC = 142.

Substitute these values in the above equation.

\(142=46+12x\)

\(142-46=12x\)

\(96=12x\)

\(\dfrac{96}{12}=x\)

\(8=x\)

\(x=8\)

Therefore, the correct option is (d).

Answer:

72 miles/day

Step-by-step explanation:

12 m/hr  *  6 hr / day  = 72 mi/day

Answer:

credit line but this is more of business not a math subject btw