Emma bought 5 peices of candy from a candy disencer. Each peice of candy costs $0.75. How much money did she spend on candy?​

Given that X₁, X₂,..., X is a random sample from an exponential family with the following probability density function, f(x 0) = exp (0T(x) + d(0)+ S(x)).

To form the hypothesis for the exponential family, we need to consider the null and alternative hypothesis.

Null hypothesis: 0= 0

Alternative hypothesis: 0 ≠ 0

Explanation: The exponential family is a class of distribution families. The density of an exponential family is given by the following expression:

f(x|θ) = h(x) exp{θT(x) − A(θ)},

where h(x) is a nonnegative function of the data that does not depend on the parameter θ and A(θ) is a normalizing function.

The parameter θ is typically called the natural parameter, and T(x) is the vector of sufficient statistics. The exponential family of distributions includes the normal, exponential, chi-squared, gamma, and beta distributions, among others. In hypothesis testing for the exponential family, we typically specify a null hypothesis and an alternative hypothesis, just as in other types of hypothesis testing. The test statistic is usually a ratio of two likelihood ratios.

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Answer:

The first one, third one, fourth one, and sixth one.

Step-by-step explanation:

I hope this helps!

Answer: The fraction of the original allowance does she plan to save = \(\dfrac16\)

Step-by-step explanation:

Let x = original monthly allowance

Monthly allowance left = \(\dfrac23x\)

She plans to save = \(\dfrac14\) of (Monthly allowance left)

= \(\dfrac14\times\dfrac23x\)

\(=\dfrac{2}{12}x\\\\=\dfrac{1}{6}x\)

i.e. the fraction of the original allowance does she plan to save = \(\dfrac16\)

The friend has to save for 5 and 2/3 of a month to in order to make up the remaining 85 to get the 125 headphone.

An inequality that consists of two or more parts is called a compound inequality. Either "or" or "and" may be used in these components. A number between 5 and 10 could be used as x in an inequality, for instance, if it states that "x is larger than 5 and less than 10". Any time one of the two inequalities is true when the two inequalities are united by the word or, the compound inequality is solved. The two separate solutions have been combined to form the final answer. Inequalities that are separated by "and" or "or" form a compound inequality. The intersection of the inequality graphs is shown by the graph of a compound inequality with a "and."

Cost of the headphone 125.

What the friend have: 40.

What need to save: 125-40 = 85

Let x = amount to be saved per month

Months to save up the 85 is 15

The equation would be 15 x = 85

Therefore x = 85/15

Which is 5 2/3 months.

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Given:

Kaci earned scores of 78, 88, 87, and 91 on her first four science tests.

She has one more test to take and wants to get an average score of 80 or more on her tests.

Let the score of the final test = x

So, the average of the scores will be equal to or greater than 80

So, we have the following inequality

Solve for x:

So, the minimum score will be 56

Answer:

3/10

Step-by-step explanation:

Probability will be the number of goats, since goats is what you're looking for, over the number of total animals. So that gives 3/10.

To get that as a decimal, divide 3 by 10. Then take your decimal and multiply it by 100 to give the percent.

Answer:

Step-by-step explanation:

These types of problems can be solved with substitution.

We just have to translate the word problem into math.

#1:

F = family, I = individual

\(F + I = 188\\95F + 42I = 12,507\)

\(F = 188-I\\95(188-I) + 42I = 12507\\17860 - 95I + 42I = 12507\\-53I = -5353\\I = 101\\\\F + I = 188\\F + 101 = 188\\F = 87\)

87 Families, 101 individuals

#2:

The perimeter is 899 meters. The perimeter can be defined as:

\(2L + 2W = P\\2L + 2W = 899\)

We are also given that

\(2L = W - 100\\so\\2L + 2W = 899\\W- 100 + 2W = 899\\3W = 999\\W = 333\\\\L = \frac{W-100}{2} = \frac{333-100}{2} = \frac{233}{2}\)

W = 333 meters, L = 233/2 meters

Answer:

2.15

Step-by-step explanation:

I will assume that "−1/4(−8.6)" is telling us to multiply (-8.6) times -(1/4):

(-1/4)*(-8.6)

= (8.6/4)

= 2.15

Answer: 570 total calories

Step-by-step explanation:

450 calories in 50 grams of fat

120 calories in 30 grams of protein

120 + 450= 570

The expected winning and the value of that prize, which gives an expected winning is c. $3.13 per ticket.

The expected winnings per ticket in the raffle can be calculated by adding the products of the probability of the expected value of winning each prize. The predicted wins per ticket may be computed as the total of each prize's value multiplied by its probability of winning, i.e.

Expected winnings per ticket

= (1/800) × $400 + (4/800) × $200 + (12/800) × $125 + (30/800) × $60 + (753/800) × $0

If we condense the equation, we obtain:

Calculating the total wins anticipated per ticket

= $0.50 + $1.00 + $1.88 + $0.75 + $0

Expected winnings per ticket = $3.13

Therefore, if you buy a ticket, the expected winnings per ticket are $3.13.

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Complete question:

For a fundraiser, there is a raffle with 800 tickets, each costing $15. 1 ticket will win a $400 prize, 4 tickets will win a $200 prize, 12 tickets will win a $125 prize, 30 tickets will win a $60 prize, and the remaining tickets will win nothing. if you buy a ticket, what are the expected winnings per ticket? question options:

a) $5.36

b) $5.63

c) $5.33

d) $5.66

The 7th term of the arithmetic sequence -3x+5, 2x+3, 7x+1, ... is: 27x-7.

To find the 7th term of the arithmetic sequence, we need to first determine the common difference between the terms. We can do this by subtracting the first term from the second term:

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

This means that the common difference between the terms is 5x - 2. Now, we can use the formula for the nth term of an arithmetic sequence:

aₙ = a₁ + (n - 1)d

Where an is the nth term, a₁ is the first term, n is the term number, and d is the common difference. Plugging in the values we have:

a₇ = (-3x+5) + (7 - 1)(5x - 2)

Simplifying the equation:

a₇ = -3x + 5 + 30x - 12

a₇ = 27x - 7

Therefore, the 7th term of the arithmetic sequence is 27x - 7.

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4.8 packages will need for the use of one year.

No. of used packages of printer paper during 10 months = 4 Packages

As we know that there is 12 months in a year,

To determine the number of packages need for the year, first we have to find the number of package is being use in one month.

S0,  No. of used package in 1 month = 4/10 = 0.4 Package

Now, we will determine the number of packages for the use of one year, by multiplying the No. of used package in 1 month with 12.

No. of packages for the use of one year = 12 × 0.4

                                                                   = 4.8 Packages

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1) We fail to reject the null hypothesis .

2) We fail to reject the hypothesis .

Given,

500 parts are tested in manufacturing and 10 are rejected.

Part a

Data given and notation  

n=500 represent the random sample taken

X=10 represent the number of objects rejected .

p = 10/500 = 0.02

\(p_{0}\) = 0.03  is the value that we want to test

α = 0.05 significance level.

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

z = 0.02 - 0.03/√0.03(1-0.03)/500

z = -1.31

The significance level provided α = 0.05  . The next step would be calculate the p value for this test.  

Since is a one tailed left test the p value would be:  

\(p_{v}\) = P(Z < -1.31) = 0.095

If we compare the p value obtained and using the significance level given,

\(p_{v} > \alpha\) so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of rejected items is less than 0.03.  

Part B :

So the critical value would be on this case  and we can use the following excel code to find it: "=NORM.INV(1-0.05,0,1)"

We found the upper limit like this:

0.02 + 1.64 √0.02(1-0.02)/500

= 0.03026

Interval : (-∞ , 0.03026 )

Since our value (0.02) is contained in the interval We fail to reject the hypothesis that p=0.03

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1.) x = 3.5

2.) x = -40

3.) x = -10

Answer:

after simplifying, we get,

23/6

Step-by-step explanation:

(2/3+5/2-7/3)+(3/2+7/3-5/6)

We simplify,

\((2/3+5/2-7/3)+(3/2+7/3-5/6)\\(2/3-7/3+5/2)+(3/2+7/3-5/6)\\(5/2-5/3)+(9/6+14/6-5/6)\\(15/6-10/6)+((9+14-5)/6)\\(15-10)/6+(23-5)/6\\5/6+18/6\\(5+18)/6\\23/6\)

We are given a series Σ an = 8n^3 - 8n^2 + 19 and we are asked to determine whether it converges or diverges using the limit comparison test. Additionally, we are given a geometric sequence and asked to find the common ratio, the fifth term, and the nth term.

a) To apply the limit comparison test, we need to choose a series bn with terms of the form bn and compare it to the given series Σ an. In this case, we can choose bn = 8n^3. Now we need to evaluate the limit as n approaches infinity of the ratio an/bn. Simplifying the ratio, we get lim(n->∞) (8n^3 - 8n^2 + 19)/(8n^3).

b) Evaluating the limit from the previous step, we can see that as n approaches infinity, the highest power term dominates, and the limit becomes 8/8 = 1.

c) According to the limit comparison test, if the limit in the previous step is a finite positive number, then both series Σ an and Σ bn converge or diverge together. Since the limit is 1, which is a finite positive number, the series Σ an and Σ bn have the same convergence behavior. However, we need more information to determine the convergence or divergence of Σ bn.

For the geometric sequence 2, 6, 18, 54, 162, ..., the common ratio is 3. The fifth term is obtained by multiplying the fourth term by the common ratio, so the fifth term is 162 * 3 = 486. The nth term can be obtained using the formula an = a1 * r^(n-1), where a1 is the first term and r is the common ratio..

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Answer:

x = 15

Therefore, the length and width are 31 and 47.

Step-by-step explanation:

Perimeter = (2x + 1) + (2x + 1) + (3x + 2) + (3x + 2) = 156

Simplified,

10x + 6 = 156

Subtract 6 from both sides, then divide by 10.

10x = 150

x = 15

To find the length and width, substitute 15 (the value of x) into the individual equations.

2(15) + 1 = 31

3(15) + 2 = 47

The y-intercept of this graph considering the cell phone plan of Barry represent D. The total cost each month.

It should be noted that a y-intercept simply means where the line intersects the y axis.

The y-intercept of this graph considering the cell phone plan of Barry represent the total cost each month. This can be illustrated by y = mx + b.

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\(__________________________\)

To look from the guest to their left to the guest to their right at a round table seating 6 people, you need to rotate by 60 degrees.

For a regular polygon with n sides, the sum of its interior angles is given by ((n - 2) × 180) degrees. In the case of a round table seating 6 people, the table can be considered as a hexagon, which has 6 sides. Using the formula, we can calculate the sum of the interior angles:

((6 - 2) × 180) / 6 = (4 × 180) / 6 = 720 / 6 = 120 degrees

Since the table forms a complete circle, the sum of the interior angles is divided equally among the guests. Therefore, each guest sits at an angle of 120 degrees. To look from the guest to their left to the guest to their right, you need to rotate by the angle between adjacent guests, which is half of the angle they sit at:

120 / 2 = 60 degrees

Thus, to look from the guest to their left to the guest to their right at a round table seating 6 people, you need to rotate by 60 degrees.

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Answer:

The correct answer is A. $729.98.

Step-by-step explanation:

Given that the purchase price for a house is $ 309,900, to determine what is the monthly payment if you put 20% down for a 30 year loan with a fixed rate of 6%, the following calculation must be performed:

100 - 20 = 80

(309,900 x 0.80) x 1.06 / (30x12) = X

247,920 x 1.06 / 360 = X

262,795.2 / 360 = X

729.98 = X

Therefore, the monthly payments will be $ 729.98.

Answer:

Monthly Payment = 1,486.41

Step-by-step explanation:

e d g e

Answer:

\(z<\frac{3}{4}\)

Step-by-step explanation:

Answer:

When x=4, ln x-ln y=y-4, so ln 4-ln 4=4-4, which is true. Therefore, when x=4, y=4, and dy/dx=0.

Step-by-step explanation:

So, when x = 4, the value of the differentiable function dy/dx is 0.

A differentiable function of one real variable is one that has a derivative at each point in its domain. In other words, a differentiable function's graph has a non-vertical tangent line at each interior point in its domain.

Here,

Given the equation ln x - ln y = y - 4, we can rearrange it to get ln(x/y) = y - 4. Taking the derivative of both sides with respect to x using the chain rule:

d/dx (ln(x/y)) = d/dx (y - 4)

(1/x) (dx/dx) - (1/y) (dy/dx) = dy/dx

dy/dx = (1/y) (dx/dx) + (1/x) (dy/dx) = (1/y) + (1/x) (dy/dx)

Rearranging and solving for dy/dx:

(x/y) (dy/dx) = (1/y) - (1/x)

dy/dx = (x/y^2) (1/x - 1/y) = (x/y^2) (1/x - 1/y)

We can substitute x = 4 and y = 4 into the expression to find the value of dy/dx when x = 4:

dy/dx = (4/16) (1/4 - 1/4) = 0

So, the value of differentiable function dy/dx when x = 4 is 0.

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Answer:  the value of 'w' that satisfies the equation 81 = w^2 is w = 9.

Step-by-step explanation:

To find the value of the exponent 'w' in the equation 81 = w^2, we need to determine the value of 'w' that satisfies the equation.

Taking the square root of both sides of the equation, we get:

√(81) = √(w^2)

Simplifying, we have:

9 = w

Answer: 9

Step-by-step explanation:

9*9=81

Answer:

The radius would be 11ft.

Step-by-step explanation:

So what we need to do is, 69.08 divided by π (3.14) which equals to 22. 22ft is the diameter but we are looking for the radius, so we need to divide that by 2 which is 11ft.

Hope that helps. x ps. Love the fact the picture is upside down :)

It would take approximately 19.65 years for an investment of $100,000 at a 7% annual interest rate to grow to $500,000. Rounded to two decimal places, the answer is 19.65 years.

To determine the number of years it will take for an investment of $100,000 at a 7% annual interest rate to grow to $500,000, we can use the compound interest formula:

A = P(1 + r/n)^(nt)

Where:

A = the future value of the investment ($500,000)

P = the initial principal amount ($100,000)

r = the annual interest rate (7% or 0.07)

n = the number of times that interest is compounded per year (assuming annually, so n = 1)

t = the number of years

Plugging in the values we know, we get:

$500,000 = $100,000(1 + 0.07/1)^(1*t)

Dividing both sides of the equation by $100,000 and simplifying:

5 = (1.07)^t

To solve for t, we can take the logarithm of both sides:

log(5) = log[(1.07)^t]

Using logarithmic properties, we can bring down the exponent:

log(5) = t * log(1.07)

Finally, we can solve for t by dividing both sides by log(1.07):

t = log(5) / log(1.07)

Using a calculator, we find:

t ≈ 19.65

Therefore, it would take approximately 19.65 years for an investment of $100,000 at a 7% annual interest rate to grow to $500,000. Rounded to two decimal places, the answer is 19.65 years.

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the center of circle O is (12, -6).

To find the center of the circle , we need to find the intersection point of the perpendicular bisectors of any two sides of triangle .

The midpoint of BC is ((12+12)/2, (7+0)/2) = (12, 3.5), and the midpoint of AB is ((0+12)/2, (0+7)/2) = (6, 3.5).

The slope of BC is (7-0)/(12-12) = undefined, which means that the perpendicular bisector of BC is the vertical line x=12.

The slope of AB is (7-0)/(12-0) = 7/12,

the perpendicular bisector of AB has a slope of -12/7

passes through the midpoint (6, 3.5).

Therefore, its equation is:

y - 3.5 = (-12/7)(x - 6)

Simplifying:

y = (-12/7)x + 27

To find the intersection point of the two lines , x=12 into the second equation:

y = (-12/7)(12) + 27 = -6

Therefore, the center of circle O is (12, -6).

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The number of possible values for n is infinite since the logarithm function is continuous and can take on any positive real value.

In this case, the lengths of the sides of the triangle are given as logarithms of different numbers. The logarithm function is continuous and defined for all positive real numbers. It maps each positive real number to a unique value on the logarithmic scale.

Since the lengths of the sides are given as logarithms, it means that the actual lengths of the sides can be any positive real numbers corresponding to those logarithmic values. Therefore, there are infinitely many possible values for n, as the logarithm function can take on any positive real value.

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