The sum of the interior angles of a polygon is 14 × 180 . Work out the number of sides of the polygon.

Answer:

Step-by-step explanation:

Alex should use 2 cups of sugar.

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

Alex wants to use a cookie recipe that makes 48 cookies.

If the recipe specifies using 3 cups of sugar,

then sugar for one cookie = 3/48 = 0.0625 cups of sugar.

But he wants to reduce the number of cookies to 32.

If the recipe specifies using 3 cups of sugar,

then 32 x 0.0625 = 2 cups of sugar.

Therefore, 2 cups of sugar, he should need.

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Answer:

Jamie gets £ 9.6.

Step-by-step explanation:

Ratio = 2:3

=》Jamie = 2x

=》Polly = 3x

So,

2x + 3x = 24

5x = 24

x = 24/5

x = 4.8

Money Jamie gets = 2x = 2(4.8) = £9.6

Hope it helps ⚜

Answer:i think D

Step-by-step explanation:

The simplification of (4a5b6)4 is (256a²⁰b²⁴)

Indices is a concept in mathematics that emphasis how many times a number is raised to a power or multiplied by itself.

Here, we are given (4a⁵b⁶)⁴

Then, we have:

= (4a⁵b⁶)⁴

\(\mathbf{=(4^4(a^{5\times 4}b^{6\times 4})}\)

We will multiply each term in the bracket by the power of 4.

= (256a²⁰b²⁴)

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Answer:

256a^{20}b^{24}

Step-by-step explanation:

I got it right on the quiz! hope it helps!

#MRS

The required method typically employed is C) Experimental design.

The probability value is utilized as a measure of the merit of the parameter selection, and the parameter set with the highest likelihood is the best option given the available data.

Experimental design is typically employed when a researcher needs to estimate the likelihood of a certain outcome.

In an experimental design, the researcher manipulates one or more independent variables to determine the effect on a dependent variable, which is the outcome being studied.

The researcher can then use this information to make an estimate of the likelihood of the outcome under different conditions. This is the most commonly used method in the natural and social sciences to determine cause-and-effect relationships and make predictions about future outcomes.

Thus, Suitable option is C)Experimental design.

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Using the normal distribution and the central limit theorem, it is found that there is a 0.24 = 24% probability of observing a difference this large or larger.

In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

In this problem, for each sample, the mean and standard error are given by:

\(\mu_I = 0.4, s_I = \sqrt{\frac{0.4(0.6)}{75}} = 0.0566\)

\(\mu_{II} = 0.4, s_{II} = \sqrt{\frac{0.4(0.6)}{90}} = 0.0516\)

Hence, for the distribution of differences, the mean and the standard error are given by:

\(\mu = \mu_I - \mu_{II} = 0.4 - 0.4 = 0\)

\(s = \sqrt{s_I^2 + s_{II}^2} = \sqrt{0.0566^2 + 0.0516^2} = 0.0766\)

The probability of observing a difference this large or larger is given by P(|Z| > Zx), in which Zx is the z-score when X = 0.0766. Hence:

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem:

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{0.09 - 0}{0.0766}\)

Z = 1.175.

Hence the probability is P(|Z| > 1.175), which is 2 multiplied by the p-value of Z = -1.175. Then:

2 x 0.12 = 0.24.

0.24 = 24% probability of observing a difference this large or larger.

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The quantity of substance remains after 850 years is 8.98g if the half life of radioactive radium is 1,599 years.

The time taken by substance to reduce to its half of its initial concentration is called half life period.

We will use the half- life equation N(t)

N e^{(-0.693t) /t½}

Where,

N is the initial sample

t½ is the half life time period of the substance

t2 is the time in years.

N(t) is the reminder quantity after t years .

Given

N = 13g

t = 350 years

t½ = 1599 years

By substituting all the value, we get

N(t) = 13e^(0.693 × 50) / (1599)

= 13e^(- 0.368386)

= 13 × 0.691

= 8.98

Thus, we calculated that the quantity of substance remains after 850 years is 8.98g if the half life of radioactive radium is 1,599 years.

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Answer:

write a semi formal letter to your father's friend

Jorge will receive 9 hours in time off from work.

How many hours will Jorge get to take time off?

It is given that, Jorge has done overtime for 6 hours in this week. As per the Fair Labor Standards Act, for 6 hours of overtime work, he must be paid one and a half times the pay he gets per hour.

Instead of receiving an overtime pay for working 6 hours extra, Jorge decides to receive paid leaves from work, that is, he will get one and a half of the total hours for which he worked overtime.

As a result, the time off he receives from work = \(1\frac{1}{2} (6)\) hours

\(=\frac{3}{2}(6) = 9 hours\)

Thus, Jorge gets 9 hours in time off from work in return. The time that he earns for the overtime is equivalent to the pay he was supposed to receive for the overtime work.

What is Fair Labor Standards Act?

The Fair Labor Standards Act (FLSA) specifies standards for minimum wage, over-time compensation, recordkeeping, and youth employment that are applicable to workers in the private sector and in federal, state, and municipal governments.

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If the 3 times of total number of adults was 17 less than number of children who visited the petting zoo , then the equation to model this relationship is written as c = 3a + 17   ;

let the number of children in the petting zoo be = c ;

and the number of adults in the petting zoo is = a ;

given that the the number of children are 3 times the number of adults ;

that means ⇒ c = 3a ;

and also given that the difference between the number of children and number of adults is 17 .

This situation can be represented as :

⇒ c - 3a = 17 ;

⇒ c = 3a + 17 .

Therefore , the equation to model this relationship is "c = 3a + 17" .

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Answer:

2000

Step-by-step explanation:

1km=1000m

2km=2000m

The p-value for the test is 0.0009. Since the p-value is less than the significance level of 0.05, we can reject the null hypothesis and conclude that the proportion of smokers in the rural and urban areas is different.

Hypothesis testing helps us to decide whether the difference between two sample proportions is due to random chance or due to some other reasons.

Let p1 be the proportion of smokers in the rural area, and p2 be the proportion of smokers in the urban area.

The test statistic is given by

:z = (p1 - p2) / √[var(p1) + var(p2)] = (-0.1) / 0.0319 = -3.13

Using a standard normal distribution table, we can find the p-value corresponding to

z = -3.13 as 0.0009.

Since the p-value (0.0009) is less than the significance level of 0.05, we can reject the null hypothesis.

Hence, we can conclude that the proportion of smokers in the rural and urban areas is different.

Summary: The p-value for the test is 0.0009. Since the p-value is less than the significance level of 0.05, we can reject the null hypothesis and conclude that the proportion of smokers in the rural and urban areas is different.

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The indifference curve equation given is x2 = 20 - 4x^(1/2)*1, where x1 and x2 represent the quantities of two goods Ambrose is consuming.

The marginal rate of substitution (MRS) measures the rate at which Ambrose is willing to trade one good for the other while remaining on the same indifference curve. It is calculated as the negative ratio of the derivatives of the indifference curve with respect to x1 and x2, i.e., MRS = -dx1/dx2. Given that Ambrose is consuming the bundle (4,16), we can substitute these values into the indifference curve equation to find the corresponding MRS.  Plugging in x1 = 4 and x2 = 16, we have: 16 = 20 - 4(4)^(1/2)*1; 16 = 20 - 8; 8 = 8. This confirms that the bundle (4,16) lies on the indifference curve. Now, we are given that the MRS at this point is 25/4.

Therefore, we can set up the following equation: dx1/dx2 = 25/4. Simplifying, we have: dx1/dx2 = -25/4. This indicates that the rate at which Ambrose is willing to trade good x1 for good x2 at the bundle (4,16) is -25/4. The MRS represents the slope of the indifference curve at a given point and reflects the trade-off between the two goods. In this case, it indicates that Ambrose is willing to give up 25/4 units of good x1 in exchange for one additional unit of good x2 while maintaining the same level of satisfaction.

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the answer

155

324

5/9 (87/3(1/12)= 155/324

Answer:

2x+3y=53eq1

3x-y=19eq2

or,-y=19-3x

or,y=19-3x

keeping value of y in eq 1

2x+3y=53

or,2x+3(3x-19)

or2x+19-57=53

or,11x=53+57

or,11x=110

or,x=110\11

=10

againputting the value of x in eq1

2x+3y=53

or,20+3Y=53

or,3y=53-20

or,y=33\3

or,Y=11

Answer: 0.67

Step-by-step explanation:

Step-by-step explanation:

A is directly proportional to B is written as

where k is the constant of proportionality

First we must find the relationship between the two variables

when

A = 5/3

B = 5/6

Substitute the values into the formula to find k

\( \frac{5}{3} = k \frac{5}{6} \)

Multiply through by the LCM which is 6

That's

\(5 \times 2 = 5k\)

5k = 10

Divide both sides by 5

k = 2

So the formula for the variation is

when B = 1/3

\(A = 2 \times \frac{1}{3} \)

When A = 15/2

\( \frac{15}{2} = 2B\)

Multiply through by 2

\(4B = 15\)

Divide both sides by 4

Hope this helps you

The statement which most likely represent "dependent-samples" is (d) study which compares standardized "test-scores" before and after course is taken.

The scores obtained before and after are linked, as they are obtained from the same group of individuals, and are therefore dependent samples.

For example, suppose a group of students is given a standardized test before and after taking a preparation course.

The scores obtained before the course are likely to be related to the scores obtained after the course, as they are both measures of the same group of students.

If the course has a significant impact on the scores, the before-and-after scores will likely be correlated, and the samples will be dependent.

Therefore, the correct option is (d).

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The given question is incomplete, the complete question is

Which of the following are most likely to be dependent samples?

(a) A study that compares the mean wait times at two different hospital emergency rooms

(b) A study that compares the salaries earned by men and women in the same job position

(c) A study that compares the weight gain for puppies who eat two different brands of food

(d) A study that compares standardized test scores before and after a course is taken.

Answer:

Step-by-step explanation:

You want to know how to determine the y-intercepts of a rational function, and their possible number.

A rational function f(x) is the ratio of two polynomial functions p(x) and q(x):

  f(x) = p(x)/q(x)

As such, both numerator and denominator have single function values for any value of the independent variable. The y-intercept of f(x) is ...

  f(0) = p(0)/q(0)

The values of p(0) and q(0) are simply the constant terms in those respective functions.

The simple way to find the y-intercept is to look at the ratio of the constant terms in the polynomial functions making up the rational function. If that is defined, there is one y-intercept. If it is undefined (q(0)=0), then there are no y-intercepts.

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The positive solution is 5.

given,

When 10 is subtracted from a number's square, the result is three times the number.

let x be the number

according to given statement the quadratic equation will be

\(x^2-10=3x\\\\x^2-3x-10\\\\x^2+2x-5x-10=0\\\\x(x+2)-5(x+2)=0\\\\(x-5)(x+2)=0\\\\x=5\ or\ -2\)

Thus, the positive solution is 5.

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Answer:

0.064

Step-by-step explanation:

The standard error of measurement (SEM) for this test is approximately 2.7612.

To calculate the standard error of measurement (SEM) for a test, we use the formula:

\(SEM = \sigma_x * \sqrt{1 - r_{xx}}\)

Where:

σx is the standard deviation of the observed scores on the test.

\(r_{xx}\) is the internal consistency reliability coefficient of the test.

Given that the mean score of the normative sample was 90.24 and the standard deviation was 7.67, we can use the standard deviation as σx.

σx = 7.67

The internal consistency reliability coefficient is given as .87.

\(r_{xx}\) = 0.87

Plugging these values into the formula, we have:

SEM = 7.67 * √(1 - 0.87)

Calculating the square root and subtracting it from 1:

SEM = 7.67 * √(0.13)

SEM ≈ 7.67 * 0.36

SEM ≈ 2.7612

Therefore, the standard error of measurement (SEM) for this test is approximately 2.7612.

The complete question is:

Assume a test of clinical depression has been given to a large normative sample where the mean score was 90.24 and the standard deviation was 7.67. The test was found to have an internal consistency reliability coefficient of .87. What is the standard error of measurement for this test?

\(SEM=\sigma_x \sqrt {1-r_{xx}}\)

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Answer: Part A: 31.25 miles. Part B: 62.5 miles.

Step-by-step explanation:

Part A: 50 / 1.6 = 31.25

Part B: 31.25 x 2 = 62.5

Answer:

11

Step-by-step explanation:

The height is 11 inches.

Answer:

it blurry

Step-by-step explanation:

Answer:

The Answer is g ( t  −  1 ) =  2 t  −  3

Step-by-step explanation:

Hope it helps Aizawa and I love you <3

Answer:

h-hey.... i hope u stay safe forever- i wont say who i am but stay safe

Step-by-step explanation:

Anglex is 58.74 degre.

Miles saved by travelling in highways is 122.43 miles.

Given:

Distance between New York to Alban is 170 miles.

Distance between Alban to Baffalo is 280 miles.

The objective is to find the angle of highway to be built directly from New York to Buffalo. and also the difference in mile between the two routes.

The given image can be represented as,

In the obtained triangle right angled at B, as angle is required at A, then AC represents the hypotenuse side, AB represents the adjacent side and BC represents the opposite side.

Now,the angle can be calculated by the opposite side and adjacent side using tan theta.

Now, the difference between the two routes can be calculated using Pythagorean theorem of the right triangle.

Thus the distance of highways directly from New york to Buffalo is 327.57 miles.

Now, consider D as the difference miles that would be saved by traveling directly from New York City to Buffalo

Then, the miles saced by travelling in this highway is,

Hence, the angle required to build the highway is 59 degree. And by traveling in this highway directly from New york city to Buffalo will save 122.43 miles.

Answer:Z-scores are also known as standardized scores; they are scores (or data values) that have been given a common standard.

Step-by-step explanation:

a. Probability of getting a sugar cookie from Jar #1: 0 b. Probability of getting a peanut butter cookie from Jar #1: 10/41 c. Probability of getting a chocolate chip cookie from Jar #1: 5/4. d. Probability of getting an oatmeal raisin cookie from Jar #1: 3/41

To find the probabilities for each type of cookie from Jar #1, we first need to calculate the total number of cookies in each jar.

In Jar #1, there are 10 peanut butter cookies, 5 chocolate chip cookies, and 3 oatmeal raisin cookies. So, the total number of cookies in Jar #1 is 10 + 5 + 3 = 18.

In Jar #2, there are 5 peanut butter cookies, 10 chocolate chip cookies, 7 oatmeal raisin cookies, and 1 sugar cookie. So, the total number of cookies in Jar #2 is 5 + 10 + 7 + 1 = 23.

Now, let's calculate the probabilities for each type of cookie from Jar #1:

a. Probability of getting a sugar cookie from Jar #1:

Since there are no sugar cookies in Jar #1, the probability of getting a sugar cookie from Jar #1 is 0.

b. Probability of getting a peanut butter cookie from Jar #1:

There are 10 peanut butter cookies in Jar #1, and the total number of cookies in both jars is 18 + 23 = 41. So, the probability of getting a peanut butter cookie from Jar #1 is 10/41.

c. Probability of getting a chocolate chip cookie from Jar #1:

There are 5 chocolate chip cookies in Jar #1, and the total number of cookies in both jars is 41. So, the probability of getting a chocolate chip cookie from Jar #1 is 5/41.

d. Probability of getting an oatmeal raisin cookie from Jar #1:

There are 3 oatmeal raisin cookies in Jar #1, and the total number of cookies in both jars is 41. So, the probability of getting an oatmeal raisin cookie from Jar #1 is 3/41.

These probabilities represent the likelihood of selecting each type of cookie specifically from Jar #1 when randomly choosing a cookie from either jar.

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Answer:

B

Step-by-step explanation:

it B pls mark me i calculated it 4 time pls

Answer:

on edge?

Step-by-step explanation:

Option A to buy has a total cost of 20,579 dollars, up-front cost of 2,500 dollars, monthly payment of 338 dollars for 60 months, and no mileage restriction. Option B to lease has a total cost of 12,169 dollars, up-front cost of 3,925 dollars, monthly payment of 229 dollars for 36 months, and mileage restriction of 10,000 per year.

You live 17 miles from work. You can expect to drive a minimum of  

miles per week.          170

You will work about 48 weeks per year, so you can expect to drive a minimum of                 8,160      miles per year.

You have a vacation planned and you expect to drive approximately 2,000 miles round trip. If you take the vacation, you      WILL NOT    stay under your mileage restriction if leasing.