a

+

2. Find the area of a square with a side length that measures (15+2/6) meters. Write your answer in

simplest radical form.

Answer:

248

Step-by-step explanation:

Answer:−30s10−5x

Step-by-step explanation:

Given

Her annual salary is 66,000.

Procedure

Gross Monthly Income: $66,000/12=$5,500

Monthly Federal Income Tax(18.7%)= $5,500*0.187=$1028.5

Monthly Social Security (FICA (6.2%) =$5,500*0.062=$341

Monthly Medicare (1.45%) =$5,500*0.0145=$79.75

Monthly State Tax (4%)= $5,500*0.04=$220

Monthly local Tax (0.1%)= $5,500*0.001=$5.5

Total Monthly Deductions= $1028.5+$341+$79.75+$220+$5.5=$1,674.75

Jamals Net Monthly Income= $5,500-$1,674.75=$3,825.25

Answer:

It is the speed changing

Step-by-step explanation:

becauses it is speed vs time

The probability that one of the scores in the sample is less than 1484 is 0.2437 .

a)Given that mean u = 1403

standard deviation σ = 200

sample size n = 32

P(x>1484) = P(X-u/σ > 1484-1403/200)

                = P (z > 0.405)

P(x>1484) = 0.2437 .

hence the probability that one score is greater than 1484 is 0.405 .

b) Now we have to find the average of the scores of 48 samples.

P(x>1484)

= P(x-μ/ σ/√n> 1484-1403 /200/√48)

= P(z>2.805.)

Now we will use the normal distribution table to calculate the p value to be 0.002516.

p-value = 0.0025

Normal distributions are very crucial to statistics because not only they are commonly used in the natural and social sciences but also to describe real-valued random variables with uncertain distributions.

They are important in part because of the central limit theorem. This claim states that, in some cases, the average of many samples (observations) of a random process with infinite mean and variance is itself a random variable, whose distribution tends to become normal as the number of samples increases.

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The polar form for a given complex number is 3√2(cos 7π/4 + i sin 7π/4)

Complex numbers are the numbers that are expressed in the form of a+ib where, a, and b are real numbers and 'i' is an imaginary number called “iota”. The value of i = (√-1).

Given that 3 – i3

For a complex number a+ bi, the polar form is given by

r(cos θ + sin θ), where r = √(a^2+b^2 ) and θ = tan^(-1)⁡〖b/a〗

Now 3 – i3

We have a =3 and b= -3

⇒ r = √(3^2+〖(-3)〗^2 )

⇒ r = √(9+9)

r = √18 = 3√2

Now θ = tan^(-1)⁡〖b/a〗

⇒ θ = tan^(-1)⁡〖(-3)/3〗

⇒ θ = 〖tan^(-1) (〗⁡〖-1〗)

⇒ θ = 2π-π/4

θ = 7π/4

Therefore the polar form of 3 – i3 = 3√2(cos 7π/4 + i sin 7π/4)

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In statistical inference, hypothesis testing is used to make conclusions about a population based on a sample data. the unknown value of a parameter. A parameter is a numerical characteristic of a population, such as mean, standard deviation, proportion, etc.

It involves testing a statement or assumption about a population parameter using the sample statistics. Hypothesis testing is used to evaluate the likelihood of a statement being true or false by calculating the probability of obtaining the observed sample data, assuming the null hypothesis is true. The null hypothesis is the statement that is being tested and the alternative hypothesis is the statement that is accepted if the null hypothesis is rejected.
The answer to the question is d) the unknown value of a parameter. A parameter is a numerical characteristic of a population, such as mean, standard deviation, proportion, etc. Hypothesis testing is used to test statements about the unknown values of these parameters. The sample data is used to calculate a test statistic, which is then compared to a critical value or p-value to determine whether to reject or fail to reject the null hypothesis.
In summary, hypothesis testing is a powerful statistical tool used to make conclusions about a population parameter using sample data. It is used to test statements about unknown values of population parameters, and the answer to the question is d) the unknown value of a parameter.

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Answer:

55 for the top left and 35 for the top right

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees

7x+6  + 6x -7 + 90 = 180

Combine like terms

13x+89 = 90

Subtract 89 from each side

13x+89-89 = 180-89

13x = 91

Divide by 13

13x/13 = 91/13

x =7

The top  left angle is

7x+6

7*7+6 = 49+6 = 55

The top right  angle is

6x-7

6*7-7 = 42-7 = 35

The exponential function that models the relationship is:

g(x) = 8 * (2.5)^x

To model the relationship described, we can write the exponential function as:

g(x) = a * b^x

Given that the dependent variable is multiplied by 2.5 for every 1 unit increase in the independent variable, we have:

2.5 = b^1

Solving for b, we find that b = 2.5.

Now, we can substitute the value of x = 0 into the equation and solve for a:

8 = a * (2.5)^0

8 = a * 1

a = 8

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(n-1) x (n-2)! ways of seating arrangements are possible if Fred (a boy) and Carrie (a girl) must be seated next to each other.

A permutation is the act of putting things or numbers in a certain order. Combinations are a method of picking things or numbers from a set of objects or collections without regard for their order.

Let's say there are n seats in total.

Then, there are (n-1) gaps between the seats that Fred and Carrie can be placed in.

If we place Fred and Carrie in one of these gaps, there will be (n-2)! possible arrangements for the rest of the seats.

Therefore, there will be (n-1) x (n-2)! total possible seating arrangements for Fred and Carrie if they must be seated next to each other.

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The altitude of Polaris, also known as the North Star, refers to its angle above the horizon when observed from a specific location on Earth.

The altitude of Polaris varies depending on the observer's latitude.

For an observer at the North Pole (latitude 90 degrees), Polaris appears directly overhead, at an altitude of 90 degrees. This means Polaris is at the zenith, the highest point in the sky.

For observers at other latitudes in the Northern Hemisphere, Polaris will appear lower in the sky. The altitude of Polaris is equal to the observer's latitude. For example, if you are at a latitude of 40 degrees north, Polaris will have an altitude of approximately 40 degrees above the horizon.

It's important to note that the altitude of Polaris remains relatively constant throughout the night and throughout the year due to its proximity to the celestial north pole. This makes it a useful navigational reference point for determining direction and latitude in the Northern Hemisphere.

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The correct order of the steps in a hypothesis test are as follows:

Determine the null and alternative hypotheses.

Select a sample and compute the z-score for the sample mean.

Determine the probability at which you will conclude that the sample outcome is very unlikely.

Draw a conclusion about the unknown population using what is known about the sample.

First, you need to define the null and alternative hypotheses. The null hypothesis is the assumption that there is no significant difference between the sample and the population mean, while the alternative hypothesis is the opposite. Then, you need to select a random sample from the population and calculate the z-score for the sample mean. This involves finding the difference between the sample mean and the population mean, divided by the standard deviation of the sample mean.

Next, you need to determine the probability, known as the alpha level, at which you will conclude that the sample outcome is very unlikely, assuming that the null hypothesis is true. This is often set to 0.05 or 0.01. If the probability of obtaining the observed sample mean under the null hypothesis is lower than the alpha level, then the null hypothesis is rejected in favor of the alternative hypothesis.

Finally, you can draw a conclusion about the unknown population using what is known about the sample. If the null hypothesis is rejected, it suggests that there is a significant difference between the sample and the population mean, and the alternative hypothesis may be accepted.

Therefore, the correct order of the steps in a hypothesis test is to first determine the null and alternative hypotheses, then select a sample and calculate the z-score, determine the probability, and finally draw a conclusion based on the observed results.

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The probability of winning $100 by matching exactly three of the first five and the sixth numbers is 0.0018. The probability of winning $100 by matching four of the first five numbers but not the sixth number is 0.0003.

To calculate the probability of winning $100 by matching exactly three of the first five and the sixth numbers, we first need to determine the total number of possible combinations for the first five numbers. Since each of the five numbers can be any number between 1 and 69, there are 69 choose 5 (written as 69C5) possible combinations, which is equal to 11,238,513. Out of these 11,238,513 possible combinations, we need to choose three numbers that will match the drawn numbers and two numbers that will not match. The probability of matching three numbers is calculated as 5C3/69C5, which is equal to 0.0018. The probability of not matching the remaining two numbers is 64C2/64C2, which is equal to 1.

Therefore, the probability of winning $100 by matching exactly three of the first five and the sixth numbers is 0.0018 x 1, which is equal to 0.0018. To calculate the probability of winning $100 by matching four of the first five numbers but not the sixth number, we need to determine the total number of possible combinations for four of the first five numbers. Since each of the four numbers can be any number between 1 and 69, there are 69 choose 4 (written as 69C4) possible combinations, which is equal to 4,782,487.

Out of these 4,782,487 possible combinations, we need to choose four numbers that will match with the drawn numbers and one number that will not match. The probability of matching four numbers is calculated as 5C4/69C4, which is equal to 0.0003. The probability of not matching the remaining number is 64/64, which is equal to 1. Therefore, the probability of winning $100 by matching four of the first five numbers but not the sixth number is 0.0003 x 1, which is equal to 0.0003.

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Answer:

77

Step-by-step explanation:

35% of 220 is equivalent to 77.

A function is a relation between a dependent and independent variable.

Mathematically, we can write → y = f(x) = ax + b.

Given is to find 35% of 220.

Let 35% of 220 be {x}. Then, we can write -

{x} = 35/100 x 220

{x} = 35/10 x 22

{x} = 35 x 2.2

{x} = 77

Therefore, 35% of 220 is equivalent to 77.

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Answer:

2.7% as a decimal, is 0.027. And, 0.0027 as a fraction, is 27/1000.

The given statement in the form of inequality is given as -

c - 6 > 24.

An inequality is used to make unequal comparisons between two or more expressions. For example → ax + b > c

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is the statement as -

"Six subtracted from c is greater than 24"

We can write the inequality as -

c - 6 > 24

Therefore, the given statement in the form of inequality is given as -

c - 6 > 24.

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{Question in english -

Six subtracted from c is greater than 24}

Answer:

the square root of 85 (so 85 is the answer)

Step-by-step explanation:

You can use the pythagorean theorem to find the height. So the sides of the triangle would contain the radius (4/2 = 2) and 9.

so, 2 squared plus 9 squared = 85

I hope this helps!

(a) Matched pairs t-test

(b) The test statistic is 5.4508.

(c) The critical value is 3.2502.

(d) Answer B. yes is correct.

(a) The test method to be used to consider (Test A - Test B) with a 0.01 significance level to test the claim that people do better on the second test than they do on the first is Matched Pairs.

(b) The test statistic is calculated using the formula

t = d/ (s/ √n). Here, d is the difference between the two sets of data, s is the standard deviation of the differences and n is the number of matched pairs in the sample.

Since the sample size is small and the population variance is unknown, the t-distribution should be used. If the value of t lies in the critical region, then the null hypothesis is rejected. Using the data given, we have,

Mean of differences = 5

The standard deviation of differences = 4.5826

n = 10

t = 5 / (4.5826 / √10)

t = 5.4508

(c) The critical value is obtained from the t-table, using a significance level of 0.01 and 9 degrees of freedom. The critical value is 3.2502.

(d) Since the calculated t-value (5.4508) is greater than the critical value (3.2502), we reject the null hypothesis. Therefore, there is sufficient evidence to support the claim that people do better on the second test than they do on the first. The answer is B. Yes.

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Answer:

c maybe

Step-by-step explanation:

Answer:

i cant see it very well but i wanna say its A but im not 100% sure

Step-by-step explanation:

By adding all the money she spend we get $0.69

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are given that Dee spends $0.25, $0.30, $0.10 and $0.04.

We need to find the money she spend in all.

Therefore, we have to add all the expenditure

0.25 + 0.30 + 0.10 + 0.04 = 0.69

The total money she spend could be 0.69.

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Step-by-step explanation: x = 73°

Draw PQ through E and parallel to AB, CD

Have x = ∠QED + ∠QEB

because PQ // CD => ∠QED = 50°

AB // PQ => ∠QEB + 157° = 180°

=> ∠QEB = 180 - 157 = 23°

=> x = 23° + 50° = 73°

( PQ   is in the same direction as AB and CD )

angle efd = 130

180-50=130

angle ahe =23

180-157= 23

draw a imaginary line from h to f

this will create a triangle

now angle hfc = 90

90-50=40

now angle hfe =

90 - 23 = 67

therefore ,

x =

67+40+x=180

107 + x = 180

x = 180-107

x=73

d=10

Answer:

Solution given:

\(\sqrt{25+3x}=d+2x\)

squaring both side

25+3x=(d+2x)²

when x=-3

25+3*-3=(d+2*-3)²

25-9=(d-6)²

16=(d-6)²

\(\sqrt{16}=d-6\)

4=d-6

d=4-6

d=10

Answer:

d = 6

Step-by-step explanation:

\( \sqrt{25 + 3( - 3)} = d + 2( - 3) \\ 4 = d - 6 \\ d = 10\)

hopefully this makes sense

:)

Answer:

Hey! Well you cant simplify it anymore.

Step-by-step explanation:

You cant add an unknown number to another number. So its still 5x+34

I Hope this helps :|

Answer:

answer by your own

Step-by-step explanation:lol

Answer:

D.

Step-by-step explanation:

The first step is to subtract 2 on both sides, so

3(y - 5) + 2 - 2 = 5 - 2

3(y - 5) = 3

Next, multiply by or distribute the 3 on the left side.

3y - 15 = 3

Then, add 15 on both sides.

3y - 15 + 15 = 3 + 15

3y = 18

Finally, divide by 3 on both sides.

3y/3 = 18/3

y = 6

Option D)  Total percent that is between the mean plus and minus 1.96 standard deviations is 0.8413 - 0.1587 = .6826 = 68.26%

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically toward either extreme. The distribution's mean is another name for the center of the range.

A unique type of normal distribution with a mean of 0 and a standard deviation of 1 is known as the standard normal distribution, or z-distribution. By transforming the values of any normal distribution into z scores, it is possible to standardize it. Z scores provide the number of standard deviations from the mean that each value falls within.

In the problem standard Deviation (SD) is 1.96.

Let the mean of the distribution be \(\alpha\).

And , The standard Distribution is z .

Therefore The value of Random Variable X are \(\alpha\) -1.96 and \(\alpha\) + 1.96.

Standard Distribution for X = \(\alpha\) -1.96 we get ,

z = \(\frac{X - mean}{SD} = \frac{\alpha -1.96 -\alpha }{1.96} = -1\)

For Z = -1 ,

Normal Distribution is \(\phi(z) = \phi(-1) = 1 - \phi(1) = 1 - 0.8413 = .1587\)

Similarly for X = \(\alpha\) + 1.96

z = 1

\(\phi(z) = \phi(1) = 0.8413\)

Total probability that is between the mean plus and minus 1.96 standard deviations is 0.8413 - 0.1587 = .6826 = 68.26%

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A because every input has one output

Answer:

FG = 16

Step-by-step explanation:

Given:

If M is the midpoint of FG then:

⇒ FM = MG

⇒ 5y + 13 = 5 - 3y

⇒ 5y + 13 + 3y = 5 - 3y + 3y

⇒ 8y + 13 = 5

⇒ 8y + 13 - 13 = 5 - 13

⇒ 8y = -8

⇒ y = -1

As M is the midpoint of FG then:

⇒ FG = FM + MG

⇒ FG = (5y + 13) + (5 - 3y)

⇒ FG = 5y + 13 + 5 - 3y

⇒ FG = 2y + 18

Substitute the found value of y into the found equation for FG:

⇒ FG = 2(-1) + 18

⇒ FG = -2 + 18

⇒ FG = 16