Find the value of x​

Answer: 88

Step-by-step explanation:

Take [tex]12\frac{1}{2}[/tex] and change it into an improper fraction, [tex]\frac{25}{2}[/tex] divide by 100, [tex]\frac{\frac{25}{2} }{100}[/tex] this is the same as multiplying by [tex]\frac{1}{100}[/tex].

[tex]\frac{25}{2}*\frac{1}{100} =0.125[/tex]

Using a rule of 3,

[tex]\frac{x}{11}=\frac{100}{12\frac{1}{2} }[/tex]

[tex]x=\frac{11*100}{12\frac{1}{2} } \\x=88[/tex]

11 is 12 1/2% of the number 88.

Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

So the percentage actually means a part per 100.

Percentage is usually denoted by the symbol '%'.

We have to find the number such that the number has the 12 1/2% as 11.

Let x be the required number.

We can write 12 1/2% as 12 + 0.5 = 12.5%.

12.5% × x = 11

(12.5 / 100) x = 11

0.125 x = 11

Dividing both sides by 0.125,

x = 11 / 0.125

x = 88

Hence the required number is 88.

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Answer:

(A)

Step-by-step explanation:

Given:

P(x) = 1.053(x+0.25x)

P(60) = 1.053(60+0.25*60)

=1.053(60+15)

=1.053(75)

P(60)=$78.98

Since x is the cost from the publisher, when the bookstore spends $60 on a textbook, the student pays $78.98.

The correct option is A.

The price of the book to the student is $78.98 when the bookstore spends $60 on the textbook.

The subject of this question is Mathematics and it is suitable for High School students.

The problem involves calculating the price of a book after a markup and sales tax.

To evaluate P(60), we substitute x = 60 into the given expression P(x) = 1.053(x+0.25x).

P(60) = 1.053(60 + 0.25*60) = 1.053(60 + 15) = 1.053(75) = 78.975.

The bookstore's price to the student would be $78.98 when the bookstore spends $60 on a textbook.

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Answer:

Step-by-step explanation:

For an explanation of vocabulary questions, consult a dictionary or vocabulary list

1) angles ending in the same place are "co-terminal."

__

2) The acute angle between the terminal ray and the x-axis is the "reference angle."

__

3) Multiply radians by 180°/π to convert to degrees.

  a) π/2 × 180°/π = 180°/2 = 90°

  b) 7π/12 × 180°/π = (7/12)(180°) = 105°

__

4) To convert from degrees to radians, multiply by π/180°.

  a) 360° × π/180° = 2π radians

  b) 315° × π/180° = 7π/4 radians

Y= -2x+10

4-(-8/3-9= -2(slope)

leaving the first option as the only viable one.

The equation of line passing through point  (9, -8) and (3, 4) : y=-2x+10

The correct option is A

Given, that line passes through points (9, -8) and (3, 4).

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope(m) =change in value of y on the vertical axis / change in value of x on the horizontal axis

Change in the value of [tex]y = y_2 - y_1[/tex]

Change in value of [tex]x = x_2 -x_1[/tex]

[tex]y_2[/tex] = final value of y

[tex]y_1[/tex] = initial value of y

[tex]x_2[/tex] = final value of x

[tex]x_1[/tex] = initial value of x

The line passes through (9,-8) and (3,4),

[tex]y_2[/tex] = 4

[tex]y_1[/tex] = - 8

[tex]x_2[/tex] = 3

[tex]x_1[/tex] = 9

Slope(m) = (4 + 8)/(3 - 9)

= 12/(- 6)

= -2

To determine the intercept, we would substitute x = 9, y = - 8 and m= - 2 into y = mx + c. It becomes

- 8 = - 2 × 9 + c = - 18 + c

c = - 8 + 18 = 10

The equation becomes

y = - 2x + 10

The correct option is A.

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Answer: When given a literal equation, you will often be asked to solve the equation for a

given variable. The goal is to isolate that given variable. The process is the same

process that you use to solve linear equations; the only difference is that you will

be working with a lot more letters, and you may not be able to simplify as much as

you can with linear equations. This packet will hopefully show you the process in a

simple manner so that you will be able to solve literal equations yourself.

Step-by-step explanation:

Answer:

C. Radius

Step-by-step explanation:

Have a good day!

Answer:

1.  

E(down) / Odd(Across)     H                  T

H                                  (1,-1)        (-1,1)

T                                   (-1,1)        (1,-1)

2. Even doesn't have a dominant strategy as both the strategies are providing equal payoffs for pure strategy.

Answer:

18.04% probability that exactly 3 serious deviations and incursions will occur at LAX in a randomly selected year

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given time interval.

Suppose the mean number of deviations and incursions per year at the Los Angeles International Airport (LAX) is 2.

This means that [tex]\mu = 2[/tex]

Find the probability that exactly 3 serious deviations and incursions will occur at LAX in a randomly selected year

This is P(X = 3).

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 3) = \frac{e^{-2}*2^{3}}{(3)!} = 0.1804[/tex]

18.04% probability that exactly 3 serious deviations and incursions will occur at LAX in a randomly selected year

Answer:

[tex]z=\frac{0.116 -0.125}{\sqrt{\frac{0.125(1-0.125)}{2000}}}=-1.217[/tex]  

We are conducting a bilateral test then the p value would is:  

[tex]p_v =2*P(z<-1.217)=0.224[/tex]  

Since the p value obtained is higher than the significance level used of 0.05 we have enough evidence to FAIL to reject the null hypothesis and there is no evidence to conclude that percentage of 18-25-year-olds who currently use marijuana or hashish has changed from the 1997 percentage of 12.5%

Step-by-step explanation:

Information given

n=2000 represent the random sample of people

X=232 represent the people between 18-25-year-old who currently use marijuana or hashish

[tex]\hat p=\frac{232}{2000}=0.116[/tex] estimated proportion of people between 18-25-year-old who currently use marijuana or hashish

[tex]p_o=0.125[/tex] is the value that we want to verify

[tex]\alpha=0.05[/tex] represent the significance level

Confidence=95% or 0.95

z would represent the statistic

[tex]p_v[/tex] represent the p value

Hypothesis to test

We want to verify if the percentage of 18-25-year-olds who currently use marijuana or hashish has changed from the 1997 percentage of 12.5%.:  

Null hypothesis:[tex]p=0.125[/tex]  

Alternative hypothesis:[tex]p \neq 0.125[/tex]  

The statistic for a proportion z test is given by:

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

Replacing into the previous formula we got:

[tex]z=\frac{0.116 -0.125}{\sqrt{\frac{0.125(1-0.125)}{2000}}}=-1.217[/tex]  

P value

We are conducting a bilateral test then the p value would is:  

[tex]p_v =2*P(z<-1.217)=0.224[/tex]  

Since the p value obtained is higher than the significance level used of 0.05 we have enough evidence to FAIL to reject the null hypothesis and there is no evidence to conclude that percentage of 18-25-year-olds who currently use marijuana or hashish has changed from the 1997 percentage of 12.5%

After conducting a statistical hypothesis test using the given data, and the chosen significance level of 0.05, there isn't enough evidence to conclude that the percentage of 18-25-year-olds who are using marijuana or hashish has significantly changed from the 1997 percentage.

The subject question concerns a statistical hypothesis testing problem, where we are testing if the proportion of 18-25 year-olds currently using marijuana or hashish is significantly different from the 1997 figure (p0=0.125). Let's denote the current proportion as p1. The null hypothesis H0: p1=p0, and the alternative hypothesis Ha: p1≠p0. The value obtained in the survey is 232/2000 (p1=0.116).

We will use a z-test for the difference of proportions here, using the formula: z = (p1- p0) / sqrt(p0(1 - p0) / n). On computation, we get z =approx -1.58.

The desired significance level is α = 0.05, a two-sided test. The critical z values for this are -1.96 and 1.96. Since -1.96 < z <1.96, we do not reject the null hypothesis at the 0.05 level of significance. This means that, according to our analysis, there is not enough evidence to conclude that the proportion of 18-25 year-olds using marijuana and hashish has significantly changed compared to the 1997 level.

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Answer:

Is there supposed to be a picture?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given that,

v(t) = A + B•sin(ωt)

Then,

When t = 0 v(t)= 7

7 = A + B•Sin(ω×0)

7 = A + B•Sin0

7 = A

Then,

A = 7

v = 7 + B•sin(ωt)

So,

When t = 3, v(t) = 9

v = A + B•sin(ωt)

9 = 7 + B•Sin(3w)

9-7 = B•sin(3ω)

B•sin(3w) = 2. Equation 1

Also, at t = 6 v(t) = 7, at this point, when it returns back to7, it has complete one oscillation

v = A + B•sin(ωt)

7 = 7 + B•Sin(6w)

7-7 = B•sin(6ω)

B•sin(6w) = 0

Sin(6w) = 0 / B

Sin(6w) = 0

Take arcsin of both sides

6w = Sin~1(0)

6w = π, since it has complete one oscillation

Then, w = π /6

w = π/6

Then,

v(t) = 7 + B•Sin(πt/6)

From equation 1

B•sin(3w) = 2.

B•Sin(3 × π/6) = 2

B•Sin(½π) = 2

B = 2

Then,

v(t) = A + B•sin(ωt)

A = 7, B = 2 and w = π/6

v(t) = 7 + 2•sin(πt/6)

Answer:

[tex] B = \frac{31.5}{5.25}= 6[/tex]

[tex] H = 18-6= 12[/tex]

So then Mark purchased 12 Hamburgers and 6 packages of buns

Step-by-step explanation:

For this case we can define the following notation:

B represent the number of packages buns

H represent the number of hamburgers

And from the information given we can set up the conditions into the following equations:

[tex] 6.75 H +1.50 B =90[/tex]  (1) represent the total cost

[tex] H +B =18[/tex]  (2) represent the total number of items

Solving H from equation (2) we got:

[tex] H = 18 -B [/tex]   (3)

And replacing equation (3) into equation (1) we got:

[tex] 6.75 (18-B) +1.5 B =90[/tex]

And dsitributing the terms we have:

[tex] 121.5 -6.75 B +1.5 B =90[/tex]

And solving for B we got:

[tex] 121.5-90 = 5.25 B[/tex]

And dividing by 5.25 we got:

[tex] B = \frac{31.5}{5.25}= 6[/tex]

And replacing the value of B into equation (3) we got:

[tex] H = 18-6= 12[/tex]

So then Mark purchased 12 Hamburgers and 6 packages of buns

Answer:

-28 - 16x

Step-by-step explanation:

7-7(5+x)-9x

Distribute

7 - 35 -7x -9x

Combine like terms

-28 - 16x

Answer:

choice A is the best   2nd degree, trinomial

Step-by-step explanation:

-x^2 +3x - 4

has 3 unique terms which make it a trinomial

The highest degree is 2 since the the highest valued exponent is 2

Answer:

a) Computing the expected value E(XY) gives 1/4

b) The probability density function fZ(z) of Z = XY is calculated in the attached picture.

c) Computing E(Z) gives 1/4

Step-by-step explanation:

Comparing the computation of E(Z) using the answer to b), it shows that the values are equal.

Answer:

The null and alternative hypothesis are:

[tex]H_0: \mu=5\\\\H_a:\mu< 5[/tex]

Test statistic t=-0.256

P-value = 0.4

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that that smartphone​ carrier's data speeds at airports is less than 5 mbps.

Step-by-step explanation:

The question is incomplete:

Sample mean (M): 4.79

Sample STD (s): 5.8

Sample size (n): 50

This is a hypothesis test for the population mean.

The claim is that that smartphone​ carrier's data speeds at airports is less than 5 mbps.

Then, the null and alternative hypothesis are:

[tex]H_0: \mu=5\\\\H_a:\mu< 5[/tex]

The significance level is 0.05.

The sample has a size n=50.

The sample mean is M=4.79.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=5.8.

The estimated standard error of the mean is computed using the formula:

[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{5.8}{\sqrt{50}}=0.82[/tex]

Then, we can calculate the t-statistic as:

[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{4.79-5}{0.82}=\dfrac{-0.21}{0.82}=-0.256[/tex]

The degrees of freedom for this sample size are:

[tex]df=n-1=50-1=49[/tex]

This test is a left-tailed test, with 49 degrees of freedom and t=-0.256, so the P-value for this test is calculated as (using a t-table):

[tex]P-value=P(t<-0.256)=0.4[/tex]

As the P-value (0.4) is bigger than the significance level (0.05), the effect is  not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that that smartphone​ carrier's data speeds at airports is less than 5 mbps.

Answer:

x = 14

Step-by-step explanation:

If a^m = a^n, then m = n.

If two powers with equal bases are equal, then the exponents are equal.

8^(x - 4) = 8^10

x - 4 = 10

x = 14

Answer:

x = 14

Step-by-step explanation:

Looking at this problem, we see that both sides of the equation are equal. Since both numbers have the same base, this means that they must also have the same power to be equal to each other. This means:

x - 4 = 10

x = 10 + 4

x = 14

Answer:

Step-by-step explanation:

I got it right on the test.

Using the arrangements formula, it is found that the 6 possible outcomes for the event are given as follows:

ABC, ACB, BCA, BAC, CAB, CBA.

The number of possible arrangements of n elements is given by the factorial of n, that is:

[tex]A_n = n![/tex]

In this problem, there are three students, hence the number of outcomes in given by:

[tex]A_3 = 3! = 6[/tex]

And the outcomes are as follows:

ABC, ACB, BCA, BAC, CAB, CBA.

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Answer:

(x,y) = (-1,4)

Step-by-step explanation:

y = y right? So all you have to do is replace both of the equations.

[tex]-x+3=x+5\\-x-x=5-3\\-2x=2\\x=-1[/tex]

after you've found the value of x just substitute it into ANY of these two equations!

For example if we get the first one we have

[tex]y=-(-1)+3\\y=1+3\\y=4[/tex]

And there you have it. Hope it helps!

Answer:

Check the explanation

Step-by-step explanation:

1.

(a)

n>=m

(b)

n <= m

(c)

n=m

2.

(a)

let T(v1) = T(v2)

=>

T(v1)-T(v2) = 0

=>

T(v1-v2) = 0

=>

v1-v2 = 0 from the hypothesis

=>

v1=v2

=>

T is one-one

thus proved

(b)

lets assume T is onto, we already know that T is one-one, so from above problem (third case where m=n)

we should have 3=4 which is impossible

so T is NOT onto.

3.

we need to find a,b such that

T(a,b) =(a,b)

=>

a= b

=>

points on the line x=y are the required points

Answer:

Adding all the numbers together results in 460

Answer:

460 is the answer

Step-by-step explanation:

Answer:

The null hypothesis is rejected.

There is enough evidence to support the claim that the average age of the customers differs from 40 years.

The sample does not support the manager claim (the average age seems to differ from 40 years).

Step-by-step explanation:

This is a hypothesis test for the population mean.

The manager claims that the average age of customers is 40 years. As this is an equality, we will test if the average age differs from 40. If the null hypothesis failed to be rejected, the claim of the manager is right.

Then, the claim is that the average age of the customers differs from 40 years.

Then, the null and alternative hypothesis are:

[tex]H_0: \mu=40\\\\H_a:\mu\neq 40[/tex]

The significance level is 0.05.

The sample has a size n=50.

The sample mean is M=38.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=7.

The estimated standard error of the mean is computed using the formula:

[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{7}{\sqrt{50}}=0.99[/tex]

Then, we can calculate the t-statistic as:

[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{38-40}{0.99}=\dfrac{-2}{0.99}=-2.02[/tex]

The degrees of freedom for this sample size are:

[tex]df=n-1=50-1=49[/tex]

This test is a two-tailed test, with 49 degrees of freedom and t=-2.02, so the P-value for this test is calculated as (using a t-table):

[tex]P-value=2\cdot P(t<-2.02)=0.049[/tex]

As the P-value (0.049) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the average age of the customers differs from 40 years.

Answer:1

1/6 3/12 2/3

Step-by-step explanation:

3/12 = 2/6

2/3 = 4/6

1/6<2/6<2/3

Answer:

The answer is 3/12 1/6 2/3

Step-by-step explanation:

The reason why is because the denominator is larger than the rest. The larger the denominator the smaller the number. For example: 2/13 is less than 4/6 because the denominator is bigger. Now if it were 6/12 and 1/2 it would be equal since 6 is half of 12. Hope this helped!

The two equations expressing altitude y as a function of time in seconds x for Cassie and Josiah respectively are: y = 33 + 1.25x and y = 210 - 17.6x.

The subject of this problem is linear equations in algebra. We set up two equations to represent the altitude changes of Cassie and Josiah over time.

Firstly, Cassie is ascending from a base level of 33 feet at a rate of 15 inches per second. However, the rate needs to be converted to feet per second because the initial altitude and the altitude Josiah is descending from are both in feet. So, 15 inches equals 1.25 feet (since 1 foot = 12 inches). Therefore, the altitude y Cassie reaches after x seconds can be represented as y = 33 + 1.25x.

Secondly, Josiah is descending from an altitude of 210 feet at a rate of 17.6 feet per second. Thus, the altitude y reached over x seconds can be given by y = 210 - 17.6x.

The system of equations therefore is:

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Answer:

Check the explanation

Step-by-step explanation:

a)

the formula is given by,

c.v.=[tex]\frac{\sigma}{\mu}\times 100[/tex]

where is standard deviation and is mean of the given data.

b)for asse A,

c.v.= [tex]\frac{\sigma}{\mu}\times 100[/tex] = 0.03 5 , 100 0,30 x 0.30 = 10%

for asse B,

c.v.= [tex]\frac{\sigma}{\mu}\times 100[/tex] = 1.50 x 100 26005 × 100 =8.27 %

for asset C,

c.v.= [tex]\frac{\sigma}{\mu}\times 100[/tex] = 18.70 × 100 =10.71%

c)since, c.v. of asset B is least, it is least volatile and c.v. of asset is most, it is most volatile.

Answer:

970000

Step-by-step explanation:

Answer:

[tex]C(10,4)=10C_4=210[/tex]

Step-by-step explanation:

A combination is an arrangement where the order is not important. Mathematically, a combination is the number of different groups of "[tex]n[/tex]" elements that can be formed from an initial group of "[tex]k[/tex]" elements. It's calculated with the following formula:

[tex]C(n,k)=nC_k=\frac{n!}{k!(n-k)!}[/tex]

Where:

[tex]k\leqslant n[/tex]

In this case:

[tex]n=10\\k=4[/tex]

Therefore the number of ways that the disc jockey selction can be done is:

[tex]C(10,4)=10C_4=\frac{10!}{4!(10-4)!} =\frac{10!}{4!(6!)}=210[/tex]

considering this is a pythagorean theorem question (a^2+b^2=c^2)

then we can plug this in.

40^2+b^2=41^2

1600+b^2=1681 (subtract 1600 from both sides to isolate b)

b^2=81  (square root)

b=9

Answer:

5n

Step-by-step explanation:

i think

To find the total number of nickels Ri’Hanna and Shania have together, add the number of nickels Ri’Hanna has (n) and the number of nickels Shania has (4n). The simplified expression is 5n.

Ri’Hanna has n nickels, and Shania has 4 times that amount. This could be represented by the expression 4n. To calculate the total number of nickels they have together, you add the amount of nickels Ri’Hanna has (n) and the amount Shania has (4n). So, the expression representing the total nickels is n + 4n. When you add n + 4n, it simplifies to 5n.

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