6 3 points F L(2x-48) 32 W Using the diagram above find the value of x and use it to find the measures of all the missing angles. X = type your answer..... m/FOW= m/FLW= m/OLW= = type your answer... type your answer... type your answer.....
​

Step-by-step explanation:

27w - 18 - 5w = 4w - 24 - 8

22w - 18 = 4w - 32

18w = -14

w = -14/18

w = -7/9

Answer:

it's 0.25 for the first one

According to the question asked the number of digits with all digits even can be found as:

aₙ = 6ⁿ + 2.3ⁿ + 1(n≥0)

Given:

let the number be aₙ.

The number aₙ equals the number of n permutations at the multiset S

where S = { ∞ 2, ∞ 4, ∞ 6, ∞, 8, ∞ 10} on which 2 and 4 occurs

a non zero even number at times.

The exponential generating function have a₀, a₁, a₂,....aₙ

f'(x) = (1+x²/2! + x⁴/4!+...)ⁿ

Learn more about Permutations here:

brainly.com/question/4658834

#SPJ4

Answer:

[tex]2x + y \leq 8[/tex]

Step-by-step explanation:

since potatoes cost $2 they are represented as 2x

Carrots cost $1 and are simply y

Answer:

  2268π ft³ ≈ 7125 ft³

Step-by-step explanation:

You want the volume of a 22 ft long cylinder capped by a hemisphere 9 ft in radius.

The formula for the volume of a cylinder of radius r and height h is ...

  V = πr²h

The formula for the volume of a hemisphere of radius r is ...

  V = 2/3πr³

The sum of the volumes of the two figures is ...

  Vtotal = πr²h +2/3πr³ = πr²(h +2/3r)

Using the given values for height and radius, we find the volume to be ...

  Vtotal = π(9 ft)²(22 ft + 2/3(9 ft)) = π(9 ft)²(28 ft)

  Vtotal = 2268π ft³ ≈ 7125 ft³

The volume of the composite is about 7125 cubic feet.

Answer:

average rate of change = 19

Step-by-step explanation:

the average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

here [ a, b ] = [ 3, 7 ] and y = f(x) , then

f(b) = f(7) = 7² + 9(7) = 49 + 63 = 112

f(a) = f(3) = 3² + 9(3) = 9 + 27 = 36

then

average rate of change = [tex]\frac{112-36}{7-3}[/tex] = [tex]\frac{76}{4}[/tex] = 19

The school is 5.43 miles from Diana's house. This is evaluated by using the speed-distance-time relationship.

The ratio of distance to time gives speed to an object.

I.e., S = D/T or D = ST ot T = D/S

It is given that,

Diana walks to her school at a speed of 6 mph.

So, the time taken for her to walk is t1 = d/6 hours

Diana returns home by car at a speed of 35 mph.

So, the time taken for her to return by car is t2 = d/35 hours

But it is given that, she takes 3/4 hours less time for returning by car.

Thus, we can write t2 = t1 - 3/4

⇒ d/35 = d/6 - 3/4

⇒ 3/4 = d/6 - d/35 = d(1/6 - 1/35)

⇒ 3/4 = d(29/210)

⇒ d = (3 × 210)/(4 × 29) = 5.431 miles

On rounding the obtained value to the nearest hundredths is 5.43 miles.

Thus, the distance between Diana's home and her school is 5.43 miles.

Learn more about speed-distance-time here:

https://brainly.com/question/21904438

#SPJ1

Answer: [tex]\displaystyle d=\sqrt{41} \approx 6.4[/tex]

Step-by-step explanation:

     We will use the distance formula to help us solve (see attached). Let (6, -2) be point one and (1, 2) be point two.

[tex]\displaystyle d=\sqrt{(x_{2}-x_{1})^2 +(y_{2}-y_{1})^2}[/tex]

[tex]\displaystyle d=\sqrt{(1-6)^2 +(2--2)^2}[/tex]

[tex]\displaystyle d=\sqrt{(-5)^2 +(4)^2}[/tex]

[tex]\displaystyle d=\sqrt{25 +16}[/tex]

[tex]\displaystyle d=\sqrt{41} \approx 6.4[/tex]

41 is a prime number, so this is the simplest radical form.

10) There is no solution to given the simultaneous equations

11) There is no solution to given the simultaneous equations

15) There is no solution to given the simultaneous equations

10) We are given the simultaneous equations as;

y = -6x - 8

y = -6x + 8

Plug -6x + 8 for y in eq 1 to get;

-6x + 8 = -6x - 8

Since the coefficient of the variable on both sides are equal, then there is no solution to the simultaneous equation.

11) We are given the simultaneous equations as;

3x - y = 6

-3x + y = -6

Add eq 1 to eq 2 to get;

0 = 0

Thus, there is no solution to the simultaneous linear equations.

12) We are given the simultaneous equations as;

9x - 15y = 24   ------(1)

6x - 10y = -16    ------(2)

Multiply eq 2 by 1.5 and eq 1 by 1 to get;

9x - 15y = 24   ------(3)

9x - 15y = -24   -----(4)

When we subtract eq 3 from eq 4, we get;

0 = -48

Thus, no solution exists.

Read more about simultaneous equations at; https://brainly.com/question/16863577

#SPJ1

Receiving $4.88 dividend out of the closing stock price of $59.95, means that the stock yield is 8.1%

Dividend is defined as a distribution of payment by a company to its shareholders that is originated from the company's profit and is payable to the shareholders every quarter in a given year, while stock yield is defined as an income generated by the stock being held by the shareholders.

To determine the percentage of stock yield, we will need to divide the closing price of the stock which is $59.95 with the amount of dividend distributed for each stock held which is $4.88, and the calculation is as follows:

59.95/4.88×100%=8.1%

Therefore the stock yield is 8.1%

To learn more about dividend visit: https://brainly.com/question/2960815

#SPJ4

The sample variance is 2.976 , which means it's lesser than 6.25. We calculate this using the standard method.

Given:

Sample data is 0.05

The sample size is 20.

And ,

The hypotheses are:

H0: sigma^2 = 6.25 (>=)

Ha: sigma^2 < 6.25

The critical value is 10.117. If the test statistic is less than this value, we'll reject the null hypothesis. We Reject the null hypothesis when the p-value is less than or equal to your significance level. Your sample data favor the alternative hypothesis, which suggests that the effect exists in the population. For a mnemonic device, remember—when the p-value is low, the null must go.

The test statistic is:

2.976 * 19 / 6.25 = 9.047.

So we reject the null hypothesis. The variance is not 6.25, which means it is lesser then 6.25

To learn more about the sample variance.

https://brainly.com/question/18147521

#SPJ4

The length of DE is 6.3

Similar triangles are triangles that have a similar appearance but differ in size.

Two triangles are similar if their angles are the same (corresponding angles) and their sides have the same ratio or proportion (corresponding sides)

The " ~ " symbol is used to represent similarity.

According to the question,

In ΔABC and ΔDBE,

(1) ∠B = ∠B (common)

(2) ∠ACB = ∠DEB (opposite sides are equal)

(2) ∠CAB = ∠ECB

Therefore , ΔABC ~ ΔDBE

By using similar triangle property

The ratio of correspond sides are equal ,

AB/BD = BC/BE = AC/DE

=> 2/1 = AC/DE

=> 12.6 / DE = 2/1

=> DE =  12.6/2

=> DE = 6.3

To know more about Similar triangles here

https://brainly.com/question/25882965

#SPJ4

The equation y = - 2 · x⁷ is not an exponential function because the independent variable x is the base of the formula instead of being its exponent. (Correct choice: A)

In this problem we need to determine whether the equation y = - 2 · x⁷ represent an exponential function or not. Exponential functions are expressions of the form:

y = b · aˣ

Where:

By direct comparison we notice that the given equation is not an exponential function as the independent variable x is not the exponent of the expression and it is the base instead. The expression y = - 2 · x⁷ is a power function, not an exponential function.

To learn more on exponential functions: https://brainly.com/question/11487261

#SPJ1

The hypotheses that can be used to test for a significant difference between the population proportions for the two years is H0 :- P1 = P2

How to calculate the hypotheses?

In math, the process of calculating the hypotheses is to select a statistic based on a sample of fixed size, calculate the value of the statistic for the sample and then reject the null hypothesis if and only if the statistic falls in the critical region.

Here we know that certain financial services company uses surveys of adults age 18 and older to determine if personal financial fitness is changing over time. Suppose that in February 2012, a sample of 1,000 adults showed 410 indicating that their financial security was more than fair. In February 2010, a sample of 1,100 adults showed 385 indicating that their financial security was more than fair.

And we need to find the hypotheses that can be used to test for a significant difference between the population proportions for the two years.

Here let us consider P1 refers population proportion saying financial security more than fair in 2012 and P2 refers population proportion saying financial security more than fair in 2010.

As per the definition of the hypotheses, the resulting hypotheses is written as,

=> H0 :- P1 = P2

To know more about Hypotheses here

https://brainly.com/question/29576929

#SPJ4

Given the above information the amount Yusuf would have more in his account than Arianys is $9,929,539.57

You should be aware that compound interest is sum of money that accrues on the capital over a stated period of time.

The given parameters are:

Arianys investment = $61,000, interest rate 7% compounded continuously

Yusufs investment = $61,000, rate 7% compounded monthly

number of years each 14 years

Arianys investment

Compound interest = [tex]P(1+r)^{t}[/tex] - 1

Applying the figures we have

CI= 61000(1+0.07)¹⁴ - 1

=61000(1.07)¹⁴ -1

CI=$96,290.58

For Yusuf investment

CI=[tex]P(1+\frac{r}{n})^{nt} - 1[/tex]

Applying the figures we have

Ci=61000(1+0.0121)²⁹⁶⁸ -1

Compound Interest = 61000(1.0058)¹⁶⁸ - 1

Simplifying this we have

61000(164.36)

CI=$10,025,830.12

Therefore the amount in Yusufs account more than Arianys account is $(10,025,830.12-96,290.58)

Amount = $9,929,539.57

Learn more about compound interest on https://brainly.com/question/14295570

#SPJ1

They collected $134.45 and we can find this using percentage.

Travis = $43

Jessica = 43 - (43 × 20%) = $34.4

Robin = 43 + (43 × 35%) = $58.05

Percentage (%):

To know more about Percentage:

https://brainly.com/question/29859226

#SPJ1

Nikki can use modern portfolio theory to assess the risk and return behaviors associated with different combinations of assets X and Y.

Modern portfolio theory involves calculating the expected return and risk of a portfolio of assets by analyzing the correlations between the assets. It also looks at the diversification benefits of combining different assets and the impact of adding riskier assets to a portfolio. By quantifying the risk and return behaviors of different portfolios, Nikki can make informed decisions about which portfolios are most suitable for her.Modern portfolio theory is used to assess the risk and return behaviors of different combinations of assets X and Y. It considers correlations between the assets, the diversification benefits of combining them, and the impact of adding riskier assets. By quantifying the risk and return behaviors, Nikki can make informed decisions about which portfolios are most suitable for her.

Learn more about combination here

https://brainly.com/question/28720645

#SPJ4

The advertising revenue model that would best suit the organization needs is  Bidding for ad words.

Given that,

A company has made the decision to employ social media advertising to connect with a certain target population in order to accomplish this. To precisely target the demographic that would be interested in seeing these ads, it wants to purchase a set of keywords. The objective is to increase consumer involvement and exposure rates without violating their privacy.

The Organization investing to buy specific keywords for advertising, when someone searches for some words in a social media search engine, the search engine queries it's users looking for the keyword matches in it's ad group thus displaying the most relevant ad aiming for more exposure.

Therefore, bidding for ad words is the advertising income strategy that would best meet the organization's needs.

To know more about queries visit:

brainly.com/question/29575174

#SPJ4

If Diana averages 6 mph walking to school. The distance from  the school to her home is 5.4 miles.

Distance can be defined as how far an object is from another object.

Formula for Distance

Distance = Speed × Time

Solving for t (time) to walk to school

6t = 35 (t-.75)              

6t = 35t - 26.25

Collect like terms

29t= 26.25

Divide both side by  29t

t = 26.25/29

t=  .9

t=54 minutes

Solving for Distance (d)

d = 6× .9

d = 5.4 miles

Therefore the distance is 5.4 miles.

Learn more about distance here:https://brainly.com/question/26046491

#SPJ1

The complete question is:

Diane averages 6 mph walking to school. Averaging 35 mph on the way back home by car, she takes 3/4 hour less time. How far is the school from her home?

As per question and the information provided we can compute the solution for both exercises as follows:

Investments are defined as assets bought or invested in with the goal of increasing wealth and setting aside funds from salary or capital gains. The main goal of an investment is to generate additional revenue or to make money on the investment over a certain amount of time.

Exercise (a)

The sequence "an "'s" first five terms are:

[tex]a1 = 6000(1.04) = 6240 [/tex]

[tex]a2 = 6000(1.04) ^2 = 6489.6 [/tex]

[tex]a3 = 6000(1.04)^3 = 6749.184 [/tex]

[tex]a4 = 6000(1.04) ^4 = 7019.151 [/tex]

[tex]a5 = 6000(1.04)^5 = 7299.197[/tex]

Exercise (b)

Because infinity, which is not a finite number, serves as the series's limit as n approaches infinity, the sequence is divergent.

[tex]an = 6000(1.04)^n [/tex]

that is the formula for the nth term of the sequence. As n rises, the value of

[tex](1.04)^n[/tex]

it grows steadily larger, which causes a to grow steadily larger until it approaches infinity. The sequence "an" diverges as a result.

To learn more about sequence: https://brainly.com/question/7882626

#SPJ4

The derivative of the following are:

(a) 36x³ + 72x² + 32x

(b) 2x(2-x²³)³ - 69x²²(2-x²³)(1+x²)

(c) -1/2√x(x+3)² + 2(x+3)(2+√x)

(d) 4x(x⁵+3)⁴ + 20x⁴(2x²+1)(x⁵+3)³

What is a derivative?

The derivative of a function of a real variable in mathematics assesses how sensitively the function's value changes in response to changes in its argument. Calculus's core tool is the derivative.

Here, we have

Given

(a) y = x²(3x + 4)²

Derivative with respect to x and we get

dy/dx = 2x(3x + 4)² + x²(18x + 24)

dy/dx = 36x³ + 72x² + 32x

(b) y = (1+x²) (2 - x²³)³

Derivative with respect to x and we get

dy/dx = 2x(2 - x²³)³ + (1+x²)(-23x²²)3(2 - x²³)²

dy/dx = 2x(2-x²³)³ - 69x²²(2-x²³)(1+x²)

(c) y = (2+√x)(x+3)²

Derivative with respect to x and we get

dy/dx = -1/2√x(x+3)² + (2+√x)2(x+3)

dy/dx = -1/2√x(x+3)² + 2(x+3)(2+√x)

(d) y = (2x² + 1)(x⁵ +3)⁴

Derivative with respect to x and we get

dy/dx = 4x(x⁵ +3)⁴ +  (2x² + 1)4(x⁵ +3)³(5x⁴)

dy/dx = 4x(x⁵+3)⁴ + 20x⁴(2x²+1)(x⁵+3)³

Hence, the derivative of the following are:

(a) 36x³ + 72x² + 32x

(b) 2x(2-x²³)³ - 69x²²(2-x²³)(1+x²)

(c) -1/2√x(x+3)² + 2(x+3)(2+√x)

(d) 4x(x⁵+3)⁴ + 20x⁴(2x²+1)(x⁵+3)³

To learn more about the derivative from the given link

https://brainly.com/question/25081524

#SPJ1

Answer:

How many were in math only?7

How many were not majoring in computer science?9

How many were not math or computer science?2

Step-by-step explanation:

Total students 25

-math major      13

-Science major 10

_______________

                          2 not majoring in math or CS majors

math major 13 -6 dual majors = 7 major in math only

math major 7+ not math or CS 2 = 9 not majoring in CS

When comparing the proportions of ethnic groups represented in television commercials on Philadelphia stations to census data, we can use a chi-squared test to see if there is a difference.

Suitable hypotheses for this test include the following: H0: P1 = 0.165, P2 = 0.026, P3 = 0.789, and P4 = 0.019 Ha: at least one P1 to P10, where P1, P2, P3, and P4 represent the proportions of the four main ethnic groups—African, Asian, Caucasian, and Hispanic—in the population.

The test statistic cannot be calculated until we get the predicted frequencies for each group under the null hypothesis. Given that N is the total number of observations and E I is the expected frequency for group I, E I = N * P I provides the expected frequency for each group.

the population percentage for group I is P i.

These equations allow us to determine the anticipated frequencies in the following ways:

E 1 = 69 * 0.165 = 11.485

E 2 = 11 * 0.026 = 0.286

E 3 = 330 * 0.789 = 261.67

E 4 = 8 * 0.019 = 0.152

After that, the chi-squared test statistic is calculated as follows: x2 = ∑_(i=1)4 [(O i - E i)2 / E i], where O i is the observed frequency for group I and E i is the anticipated frequency for group i.

The numbers for the observed and anticipated frequencies are substituted to produce the following equation: x2 = (69 - 11.485)2 / 11.485 + (11 - 0.286)2 / 0.286 + (330 - 261.67)2 / 261.67 + (8 - 0.152)2 / 0.152

= 57.015^2

For  more information on chi-square test kindly visit to

https://brainly.com/question/14082240

#SPJ4

Option- A is correct that is event a and b are independent when consider some events a and b rearranging the multiplication rule will result in.

Given that,

If and only if, two events, a and b, are independent. Remember that rearranging the multiplication rule will result in. Consider some events a and b.

We have to find which of the following claims about a and b is true.

We know that,

We have if the occurrence of event A has no bearing on the probability that event B will also occur, then the two events A and B are said to be independent.

P(A and B) = P(A) P(B) can be used to numerically describe the probability of two separate events.

As a result, we can draw the conclusion that two events, a and b, are independent if and only if they are.

Therefore, Option- A is correct that is event a and b are independent when consider some events a and b rearranging the multiplication rule will result in.

To learn more about independent visit: https://brainly.com/question/1479694

#SPJ4

The contrapositive is true

Proving a contraposition involves proving that the contrapositive of a statement is true. The opposite of "if m n is even then m is even or n is even" is "if m is not even and n is not even then m n is not even".

To prove this statement by a proof by contrast, first assume that m is not even and neither is n. This means that both m and n are odd.

Since m and n are odd, m n is also odd. This can be expressed as:

If m and n are odd, we can write m as;

2k + 1 and n as 2l + 1 for integers k and l.

Then mn = (2k + 1)(2l + 1) = 4kl + 2k + 2l + 1 = 2(2kl + k + l) + 1,

which is odd. Therefore, m n is not even if m is not even and n is not even.

It turns out that the opposite of the original statement is true, so the original statement must also be true. Therefore, if m n is even, then we can say that   that m is even or n is even using a proof by contrast.

Read more about proof by contraposition on  https://brainly.com/question/14936283

#SPJ4

In the following first scenario the conditions for the t-test is not met for the difference in populations mean so the hypothesis test cannot be done.

1)The distribution of time spent at university recreational facilities is considerably skewed to the right in a random sample of 100 university students.

The variable is X, which stands for time spent at the university's leisure facilities.

Because the variable "time" is at least ordinal, this criterion is satisfied.

The sample was drawn at random, hence this requirement is met.

The data is heavily skewed to the right, the normal distribution is symmetrical, and this data set is highly unlikely to have a normal distribution.

2)The distribution of time spent at university recreational facilities is highly skewed to the right for females but not strongly skewed for males in a random sample of 50 university students (37 females and 13 males).

In this scenario, you have two groups of interest, and the variable X: Time spent at the university recreational facilities will be measured for each group.

Because the variable "time" is at least ordinal, this criterion is satisfied.

The samples "male students" and "female students" were randomly taken so this condition tests.

You have two populations of interest in this case. Male university students and female university students are divided into two groups. To use the t-test, both populations must be normal.

The distribution for the females has strongly skewed to the males have a somewhat skewed distribution.

If the distribution of females is substantially skewed, it is impossible for it to be normal.

In this case, a t-test is not appropriate.

3)Because the experimental units are dependent, this is a "paired sample" situation. (Consider the sibling pair's relationship; if they get along well, it is more likely that they will spend time together in the recreational facilities; if their relationship is not so good, it is more likely that the presence of one of the siblings in the facilities will cause the other to spend less time there.)

X will be the variable measured for each member of the "sibling pair": Time spent at university recreational facilities, and the research variable in this case, will be defined by the difference in times measured for both siblings.

The normality condition checks.

so the t-test in this scenario can be applied.

To learn more about hypothesis test visit:

https://brainly.com/question/17099835

#SPJ4

The volume of the figure can be calculated by adding the volumes of the two rectangular prisms. The first rectangular prism has dimensions 12 in x 10 in x 2 in, so its volume is 12102 = 240 in^3. The second rectangular prism has dimensions 10 in x 7 in x 21 in, so its volume is 10721 = 1540 in^3. The total volume of the figure is 240 in^3 + 1540 in^3 = 1780 in^3.

The appropriate test to perform is one sample t test

The rejection reason is t statistic less than -2.012 or t statistic more than -2.012

The p value of the test is 0.0292

Firstly,

       As the population standard deviation is unknown and the sample size is more than 30, it is appropriate to use one sample t test for this hypothesis testing

Testing if the mean is changed from 700 levels or not

Null and alternate hypothesis are 700

Degree of freedom,

                       n-1

                      = 48-1

                      = 47

Using alpha level 0.05 and t critical table, we found the following two critical values

t critical values= -2.012 and 2.012

So, the rejection reason is t statistic less than -2.012 or t statistic more than -2.012

Now,

        Population means = 700 hours

        Sample mean = 675 hours

        n = 48

So,

Test statistic= (mean-alternate hypothesis)/(s/√n)

                     = (675-700)/ (77/√48)

                     =-25/11.1140

                     = -2.249

Degree of freedom = n-1

                                  = 48-1  

                                  = 47

With t distribution table for -2.249 and 47 degrees of freedom obtain p value of 0.0292

So, pvalue= 0.0292

Reject null hypothesis since the p value is less than alpha level

So, we conclude that the mean has changed from 700 hours

To know more about Population mean refer to:

http://brainly.com/question/29441200

#SPJ4

Answer:

5.2%

Step-by-step explanation:

Answer: the function is nonlinear

Step-by-step explanation:

y = x2 + 1 is a nonlinear equation because for it to be an linear question it must be the following

Linear:

2x-1=y 

y=2x-1

nonlinear

y = x2 + 1