Can anyone please help me what is x
​

Answer:

x = 5

Step-by-step explanation:

10/25 = (3x-1)/35

75x-25 = 350

75x = 375

x = 5

a) Let X represent the random variable of the number of Californians in the sample of 6 people who have been to Disneyland.

b) X is a binomial random variable because it records the number of successes (people who have been to Disneyland) in a fixed number of trials (6 people).

c) The probability =3.05.

d) The mean of X is 2.46.

e) The standard deviation of X is 1.2.

f) The probability 68.27%.

It is used to measure the spread of data around the mean or expected value.

a) Let X represent the random variable of the number of Californians in the sample of 6 people who have been to Disneyland.

b) X is a binomial random variable because it records the number of successes (people who have been to Disneyland) in a fixed number of trials (6 people).

c) The probability of exactly 3 people having been to Disneyland is 3.05.

This is calculated using the binomial probability formula:

P(x=3) = (6³) * (0.41³) * (0.59³)

= 3.05

d) The mean of X is 2.46. This is calculated using the binomial mean formula:

μ = n * p

= 6 * 0.41

= 2.46

e) The standard deviation of X is 1.2. This is calculated using the binomial standard deviation formula:

σ = √[n * p * (1 - p)]

= √[6 * 0.41 * (1 - 0.41)]

= 1.2

f) The probability that the number of Californians in the sample that have been to Disneyland is within one standard deviation of the mean is 68.27%.

This is calculated using the standard normal distribution z-score formula:

P(1.19<z<2.73) = 0.6827

For more questions related to mean

https://brainly.com/question/26941429

#SPJ1

Step-by-step explanation:

2N+3N+4N=9N

9N=72

N=72/9

N=8 ANS

hope it helps!

.......

Answer:

16:24:32

Step-by-step explanation:

2+3+4 = 9

72÷9 = 8

One part of the ratio is therefore worth 8.

8 x 2 = 16

8 x 3 = 24

8 x 4 = 32

16:24:32

Answer:

For a function, it is the change in the y-value divided by the change in the x-value for two distinct points on the graph

Step-by-step explanation:

Answer:

i think that you can find the average rate of change between 2 points on a curve by dividi  the change in the output value (Y)  by the change in the input value (X)

Step-by-step explanation:

From the given discrete probability distribution, we have that:

a) Because the sum of all probabilities is of 1, we can verify that this is a probability model.

b) P(3 or 4) = 0.229.

c) P(at least one) = 0.908.

d) P(4) = 0.035.

e) Since both P(X ≤ 4) and P(X ≥ 4) > 0.05, 4 is not an unusual event.

The probability distribution in this problem gives the probability of a household having a number of TV sets, given as follows:

For item a, we have to add all the probabilities, hence:

0.092 + 0.275 + 0.101 + 0.194 + 0.035 + 0.303 = 1.

Because the sum of all probabilities is of 1, we can verify that this is a probability model.

For item b, we take the probabilities from the table as follows:

P(3 or 4) = P(X = 3) + P(X = 4) = 0.194 + 0.035 = 0.229.

For item c, we follow a similar procedure to item b, taking the probabilities from the table as follows:

P(at least one) = 1 - P(X = 0) = 1 - 0.092 = 0.908.

For item d, from the table, we have that:

P(4) = 0.035.

For item e, we have that:

Since both P(X ≤ 4) and P(X ≥ 4) > 0.05, 4 is not an unusual event.

More can be learned about discrete probability distributions at https://brainly.com/question/24802582

#SPJ1

Answer:

C (The one before the last one)

Step-by-step explanation:

2000 = 180 + 50d

She already has 180

Plus the $50 she saves each day (d)

2000 is the goal, or what we want it to equal.

Answer:

C. x > 5 or x < - 3

Step-by-step explanation:

Step 1:

x - 1 > 4

x > 4 + 1

x > 5

Step 2:

x - 1 < -4

x < -4 + 1

x < -3

HP: {x > 5 or x < -3} (c)

If rectangle has an area of 114cm squared and a perimeter of 50 cm, the dimensions of the rectangle are approximately 5 cm by 22.8 cm.

Let's assume the length of the rectangle is "l" and the width is "w". We can start by using the formula for the area of a rectangle, which is A = lw. From the given information, we know that the area is 114cm².

So, we have:

lw = 114

Next, we can use the formula for the perimeter of a rectangle, which is P = 2l + 2w. From the given information, we know that the perimeter is 50cm.

So, we have:

2l + 2w = 50

We now have two equations with two variables, which we can solve using substitution or elimination. Let's use substitution by solving the first equation for l:

l = 114/w

We can then substitute this expression for l in the second equation:

2(114/w) + 2w = 50

Multiplying both sides by w to eliminate the fraction, we get:

228 + 2w² = 50w

Rearranging and simplifying, we get a quadratic equation:

2w² - 50w + 228 = 0

We can solve for w using the quadratic formula:

w = [50 ± √(50² - 4(2)(228))]/(2(2)) ≈ 11.4 or 5

Since the length and width must be positive, we can discard the solution w = 11.4. Therefore, the width of the rectangle is approximately 5 cm. We can then use the equation lw = 114 to solve for the length:

l(5) = 114

l ≈ 22.8

To learn more about rectangle click on,

https://brainly.com/question/19127628

#SPJ1

Model B is appropriate since the relationship between x and log y is linear. Hence, option E is the correct answer to this question.

The conclusion can be made based on the residual plot of Model B, which shows a linear pattern, indicating a good fit between the model and the data.

On the other hand, the residual plot of Model A shows a non-linear pattern, suggesting that the relationship between x and y may not be well-represented by a linear model.

By taking the logarithm of one or both of the variables, it may be possible to linearize the relationship and obtain a better model fit. Here, Model B, which models the relationship between x and log y, appears to be the more appropriate model.

Read more about the Residual plot:

brainly.com/question/27733055

#SPJ4

The complete question is -

Two variables, x, and y, were measured for a random sample of 25 subjects, and two separate regression models were fit to the data. The least squares estimation of the parameters in Model A yielded the following equation and residual plot. The least squares estimation of the parameters in Model B yielded the following equation and residual plot. Which of the following conclusions is correct?

(a) Model A is appropriate since the relationship between x and y is linear.

(b) Model B is appropriate since the relationship between x and y is linear.

(c) Model A is appropriate since the relationship between log x and log y is linear.

(d) Model A is appropriate since the relationship between log x and y is linear.

(e) Model B is appropriate since the relationship between x and log y is linear.

Answer:  B

Step-by-step explanation:

In order to find out if the functions are continuous at 0, you must plug in 0 into both of the piecewise equations.  If the answers are the same then they are continuous at 0 if they are different then it is not continuous.

e× + 1

e⁰ + 1

1 +1

2

2 + sin x

2 + sin 0

2 + 0

2

Since the first part equation =2 when x=0 and the second part equation =0 when x=0, the functions would be continuous because they are the same.   But because there is no ≤ or ≥ there is no value for x=0.  It's been removed.

Your answer is B

Answer:  Choice B

The function f is continuous on  \((-\infty,0) \cup (0,\infty)\)

There is a removable discontinuity at x = 0.

====================================================

Explanation:

Let

\(g(\text{x}) = e^{\text{x}}+1\\h(\text{x}) = 2+\sin({\text{x}})\\\)

The f(x) function changes its identity based on what the input x would be.

If x < 0, then f(x) = g(x)

If x > 0, then f(x) = h(x)

Plug x = 0 into g(x)

\(g(\text{x}) = e^{\text{x}}+1\\g(0) = e^{0}+1\\g(0) = 1+1\\g(0) = 2\\\)

Do the same for h(x)

\(h(\text{x}) = 2+\sin({\text{x}})\\h(0) = 2+\sin(0)\\h(0) = 2+0\\h(0) = 2\\\)

Both functions produce the same output (2) when x = 0. Therefore, the two pieces are connected. Both pieces approach y = 2 when x gets closer and closer to zero. But we'll have an open hole at x = 0 since neither piece is defined when x = 0. This makes f(0) undefined. We have a removable discontinuity at x = 0. This is in contrast to a jump discontinuity where the two pieces do not approach the same y value.

To express this in interval notation, start with the set of real numbers \((-\infty,\infty)\) and poke a hole at x = 0 to remove it.

We'll end up with \((-\infty,0) \cup (0,\infty)\) as the domain and where f(x) is continuous.

Refer to the graph below.

Answer:

Given:

Area of the sector (A) = 104π/9 square inches

Central angle (θ) = 65 degrees

The formula for the area of a sector of a circle is:

A = (θ/360) * π * r^2

We can rearrange this formula to solve for the radius (r):

r^2 = (A * 360) / (θ * π)

Plugging in the given values:

r^2 = (104π/9 * 360) / (65 * π)

r^2 = (104 * 40) / 9

r^2 = 4160 / 9

r^2 ≈ 462.22

Taking the square root of both sides:

r ≈ √462.22

r ≈ 21.49

Therefore, the radius of the circle is approximately 21.49 inches.

Answer: 8 inches

Step-by-step explanation:

The value of y is 18

Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.

Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.

Therefore;

14/21 = 12/y

14y = 21 × 12

14y = 252

divide both sides by 14

y = 252/14

y = 18

Therefore the value of y is 18.

learn more about similar triangles from

https://brainly.com/question/14285697

#SPJ1

The most likely step would be choice 1: 3x = 16 because in step 3, you should add 3 on both sides. So, 3's would cancel out on the left side and you solve for 13 + 3 = 16. Thus, the answer would be 3x - 16. Hope this helps :)

Refer to question: https://brainly.com/question/18999872

Answer:

Step-by-step explanation:

The area of circle with radius of 2 yd (the length of the rope) is:

Since 1/4 of the circle is occupied by the shed, the area of the grass is:

Let the area be 30 yd², finding the r as per above formula:

The measure of the angle y is 85 degrees

From the question, we have the following parameters that can be used in our computation:

The circle

Using the following theorem

The measure of the angle formed by two chords that intersect inside a circle is equal to half the sum of the measure of their intercepted arcs

We have the following equation

1/2(y + 163) = 124

So, we have

y + 163 = 248

Evaluate the like terms

y = 85

Hence, the value of y is 85

Read more about angles at

https://brainly.com/question/28293784

#SPJ1

Answer:

Gina has 5 large shipping boxes and 6 small shipping boxes.

Step-by-step explanation:

32 items to ship and 11 shipping boxes.

Large=4 items

4 X 5 = 20

Small=2 items

2 X 6 = 12

20 + 12 = 32

Answer:

Step-by-step explanation:

Original price of the music box = $80

Price after 20% discount = Original price - discount

                                         = 80 - 20% of 80

                                         = 80 - \((\frac{20}{100}\times 80)\)

                                         = 80 - 16

                                         = $64

Price after 40% discount = 80 - 40% of $80

                                         = 80 - 32

                                         = $48

Original price of A faux Ming vase = $60

Price after 20% discount = Original price - discount

                                         = 60 - 20% of $60

                                         = 60 - 12                                    

                                         = $48

Price after 40% discount = Original price - discount

                                         = 60 - 40% of 60

                                         = 60 - 24

                                         = $36

The man still owes R87,726 in taxes.

To calculate the tax amount the man still owes, we need to determine his taxable income first.

Gross income: R500,000

Less: PAYE deductions (17% of gross income): R500,000 * 0.17 = R85,000

Taxable income: R500,000 - R85,000 = R415,000

Next, we can use the tax table information provided to calculate the tax owed based on the taxable income.

Tax owed: R93,135 + 36% of (taxable income - R393,200)

Tax owed: R93,135 + 0.36 * (R415,000 - R393,200)

Tax owed: R93,135 + 0.36 * R21,800

Tax owed: R93,135 + R7,848

Tax owed: R100,983

Finally, we subtract the rebate amount of R13,257 from the tax owed to find the amount the man still owes.

Tax owed - Rebate: R100,983 - R13,257 = R87,726

Therefore, the man still owes R87,726 in taxes.

The correct option is not provided among the given answer choices.

for such more question on tax amount

https://brainly.com/question/16950901

#SPJ8

The sample mean, population mean, population standard deviation, and sample size are required to calculate the value of the test statistic and are provided as  \(\bar{x}\)  = 62.5, μ = 63.2, σ = 3.3, and n = 79, respectively, and then we can calculate the test statistic using the formula t = (\(\bar{x}\) - μ) / (σ / √n).

We must calculate the value of the test statistic in order to determine whether the women's rights organization's assertion on the average retirement age for executives is supported by enough evidence.

Describe the theories:

The null hypothesis (H0) is that women CEOs retire on average at age 63.2. Alternative Hypothesis (H1): Women executives retire on average at a younger age than 63.2.

Determine the test statistic by:

The following formula is used to obtain the test statistic for comparing means:

t = (\(\bar{x}\) - μ) / (σ / √n)

where \(\bar{x}\) is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.

Given:

\(\bar{x}\) = 62.5 (sample mean)

μ = 63.2 (population mean)

σ = 3.3 (population standard deviation)

n = 79 (sample size)

Substituting the values into the formula, we get:

t = (62.5 - 63.2) / (3.3 / √79)

Calculating this expression, we find the value of the test statistic.

Determine the critical value:

To determine the critical value, we need to specify the significance level (α). In this case, the significance level is 0.10. We will use a one-tailed test because the alternative hypothesis states that the mean age of retirement is less than 63.2.

Using a t-distribution table or a statistical calculator, we can find the critical value corresponding to a one-tailed test with a significance level of 0.10 and the degrees of freedom (df) equal to n-1.

Compare the test statistic with the critical value:

If the absolute value of the test statistic is greater than the critical value, we reject the null hypothesis.

Otherwise, we fail to reject the null hypothesis.

By comparing the calculated test statistic with the critical value, we can determine whether there is sufficient evidence to support the organization's belief.

Note: Since the values of the test statistic and critical value are not provided in the question, it is not possible to provide the specific result without performing the calculations.  

For similar question on population standard deviation.

https://brainly.com/question/30606112  

#SPJ8

Answer:

1 out of 6

Step-by-step explanation:

Each roll of the die is an independent event. This means that the second roll does not rely on the first roll. The probability of rolling a six is one out of six. The probability of rolling a two is also one out of six. Since the two events are independent of each other, you would take the average of the two probabilities, which since they are both one out of six, the probability of rolling a six and then a two is one out of six.

In-state corresponds to students who are residents of the same state as the university, out-of-state corresponds to students from different states, and foreign corresponds to students from countries other than the university's country.

To match the vocabulary word with its corresponding example in the context of the state university survey, we need to understand the terms and their meanings.

Here are the vocabulary words and their corresponding examples:

Vocabulary Word: In-state

Example: A student who is a resident of the same state where the university is located.

They pay lower tuition fees compared to out-of-state or foreign students.

Vocabulary Word: Out-of-state

Example: A student who is not a resident of the state where the university is located.

They typically pay higher tuition fees compared to in-state students.

Vocabulary Word: Foreign

Example: A student who is from a country other than the country where the university is located.

They are international students who may have different visa requirements and tuition fees.

To match these vocabulary words with their corresponding examples:

In-state: A student from the same state as the university, paying lower tuition fees.

Out-of-state: A student from a different state than the university, paying higher tuition fees.

Foreign: A student from a country other than the country where the university is located, with potential differences in visa requirements and tuition fees.

By associating each vocabulary word with its respective example, we can accurately describe the three categories of students based on their residency and origin in the context of the state university's survey.

For similar question on residents.

https://brainly.com/question/2621599  

#SPJ8

The correct statement regarding the angle measures is given as follows:

m < 1 + m < 4 > m < 3.

The given angle measure is as follows:

m < 3 = 119º.

Angles 3 and 4 form a linear pair, meaning that they are supplementary, that is, the sum of their measures is of 180º.

Hence the measure of angle 4 is given as follows:

m < 4 + m < 3 = 180º.

m < 4 = 180º - 119º

m < 4 = 61º.

Angles 1 and 4 are opposite by the same vertex, hence they are congruent, thus the measure of angle 1 is given as follows:

m < 1 = m < 4

m < 1 = 61º.

Hence:

m < 1 + m < 4 = 2 x 61

m < 1 + m < 4 = 122º

122º > 119º

m < 1 + m < 4 > m < 3.

More can be learned about angle measures at https://brainly.com/question/25716982

#SPJ1

Check the picture below.

so hmm we have a 6x6 square atop and a triangle with base of 6 and a height of "h", let's get "h".

\(\sin( 42^o )=\cfrac{\stackrel{opposite}{h}}{\underset{hypotenuse}{2}} \implies 2\sin(42^o)=h \implies 1.34\approx h \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ \textit{\LARGE Areas} }{\stackrel{triangle}{\cfrac{1}{2}(\underset{b}{6})(\underset{h}{1.34})}~~ + ~~\stackrel{ square }{(6)(6)}} ~~ \approx ~~ 4.02+36~~ \approx ~~ \text{\LARGE 40.0}\)

9514 1404 393

Answer:

  (d)  reflection about the x-axis, up 6 units

Step-by-step explanation:

The parent function y=1/x is multiplied by -1, which reflects it over the x-axis. Then 6 is added, which shifts it up 6 units.

The transformations are ...

  reflection about the x-axis, up 6 units

Answer:

Step-by-step explanation:

180-90=90

5x-2+3x+4=90

5x-2+3x=90-4=86

5x+3x=86+2=88

8x=88

X=11

It will be nice if you give me brainliest.Good luck!

The value of x in the given right triangle is 11.

A triangle in which one of the interior angles is 90° is called a right triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the height and the base.

Given is a right triangle, with angles 5x-2 and 3x+4

We know that the sum of the both acute angles of a right triangle, is 90°

Therefore,

5x-2 + 3x+4 = 90°

8x = 88

x = 11

Hence, the value of x in the given right triangle is 11.

For more references on right triangle, click;

https://brainly.com/question/29285631

#SPJ2

Answer:

$101.64

Step-by-step explanation:

Step one:

Given data

Original price is $77.00

markdown is 32%​

Required

The sale price

Step two:

Percent markdown= sale-original/origal*100

32=sale-77/77*100

32/100=sale-77/77

cross multiply

0.32*77= sale- 77

24.64=sale-77

add 77 to both sides

24.64+77= sale

101.64= sale

sale= $101.64

Hey there! I'm happy to help!

If we have g(-3) we plug -3 into our function as x.

-3-2(-3)²

-3-2(9)

-3-18

-21

g(-3) is -21, so now we just add 13.

-21+13=-8

The answer is -8.

Have a wonderful day! :D

The following attached are the graph of the for the given functions

What are Functions?

A function is a relationship between a set of inputs and a set of allowable outputs that has the condition that each input is associated to precisely one output. Let A and B be any two non-empty sets; mapping from A to B is only a function if every element in set A has one end and only one image in set B.

Solution:

Since, the question is not properly framed the most probable answer to this question can be found by plotting the Graph of the Functions

So please refer to the graph attached below

The only function with the inverse as their graph is f(x) = x

To learn more about Functions from the given link

https://brainly.com/question/22340031

#SPJ1

Answer: 44

Step-by-step explanation: Trust

Answer:

3/25 or 12% (Id reccomend 3/25)

Step-by-step explanation:

There are 5 unique cards. Your chance of pulling the number 5 is 1/5
Then you also have to pick an odd number after in which there are 2 (#'s 3 and 5) so 2/5

To find the answer of both scenarios happening you multiply both probabilities

1/5 * 2/5 = 3/25

Fraction: 3/25
Whole Number: 12%

-- Gage Millar, Algebra 1/2 and Pre-Calc Tutor.

The probability of picking a 5 and then an odd number is 2/25

We are given 5 cards: 2,3,4,5,6.

From the given 5 card appears only once and odd number cards are 3 and 5.

There are 5 cards so pick the number 5 from the 5 cards

The probability is 1/5.

then replacing that card back and we have to pick an odd number

In the pack of cards there are 2 odd numbers =3,5

so probability of picking them is 2/5

thus multiplying 1/5 and 2/5 gives

1/5*2/5 = 2/25

Hence the probability of picking 5 and then an odd number is 2/25.

For more reference to probability please refer to:

https://brainly.com/question/17123405