Suppose birth weights of human babies are normally distributed with a mean of 120 ounces and a stdev of 16 ounces (1lb )=( 16 ounces ). What is the probability that a baby is at least 9 lbs 11 ounces?

To calculate the approximate APR for Tory's bike purchase, we need to use the formula for simple interest:

Interest = Principal x Rate x Time
Here, the principal is $149 and the finance charge is $45, making the total amount financed $194. Tory paid over eight months, so the time is 8/12 or 0.67 years.
Using the formula, we can solve for the rate:

$45 = $194 x Rate x 0.67
Rate = $45 / ($194 x 0.67)
Rate = 0.357 or 35.7%
Therefore, the approximate APR for Tory's bike purchase is 35.7%.

None of the answer choices provided match the exact percentage, but the closest is 38.2%, so that would be the best choice.

To know more about simple interest visit:

https://brainly.com/question/30964674

#SPJ11

Free samples or product trials as a type of sales promotion can be both beneficial and detrimental. They encourage consumers to try a product at reduced risk, but they can also reduce the perception of value for the product or service.

Offering free samples or product trials is a common sales promotion strategy to attract customers and encourage them to try a product or service. This approach has several benefits. Firstly, it lowers the perceived risk for consumers as they can experience the product without making a financial commitment upfront. This can be especially effective for new or unfamiliar products, as it allows potential customers to test the product's quality and functionality.

However, there can be drawbacks to this sales promotion technique. Providing free samples or trials can create the perception that the product or service has less value or is of lower quality. Consumers may develop a mindset of expecting free or discounted offerings, and it can undermine the willingness to pay the full price in the future. Additionally, if the free samples or trials are not managed effectively, it may attract individuals who are not genuinely interested in the product, leading to wastage of resources and potentially diluting the brand image.

Learn more about financial commitment here:

https://brainly.com/question/30414316

#SPJ11

The number that will be next in the series will  be  63 .

In the question ,

a recurrence relation is given that is  0, 3, 8, 15, 24, 35, 48, ? .

we have to find the number that will come in place of question mark .

On carefully examining the series , we can see that

3 - 0 = 3

8 - 3 = 5

15 - 8 = 7

24 - 15 = 9

35 - 24 = 11

48 - 35 = 13

we can se that increments 3,5,7,9,11,13,... form an Arithmetic Progression

with first term as 3 and common difference as 2 ,

So ,the next increment will be 13+2 = 15

let the next term be "x" .

x - 48 = 15

x = 15 + 48 = 63

the number in place of ? is 63 .

Therefore , The number that will be next in the series will  be  63 .

Learn more about Arithmetic Progression here

https://brainly.com/question/25271768

#SPJ4

The tangents of the acute angles in the right triangle are;

tanR = 45/28

tanS = 28/45

An acute angle is defined as any angle that is less than 90 degrees.

Now, from the right angle triangle attached, since one of the angles is already 90 degrees, then it means that both remaining angles must be less than 90 degrees since sum of angles in a triangle is 180 degrees.

Now, in trigonometric ratios, we know that the formula for tangent of an angle is;

tan x = opposite/adjacent

Thus, applying the tangent trigonometric ratio to the problem gives us;

tanR = 45/28

tanS = 28/45

Read more about acute angles at; https://brainly.com/question/28958927

#SPJ1

The United States population (in millions) between 1970 and 2010 can be modeled \(p(x) = 203.12e^{0.011x }\), the population of Midwest changing in 1990 and in 2010 with 0.201 millions per decade and 0.213 million per decade respectively.

A population is a defined collected persons or anything that can be recognized by at least one characteristics for the purposes of data collection and data analysis in statistics and other fields of mathematics. Now, we have population (in millions) of the United States between 1970 and 2010 and it is modeled by the function \(p(x) = 203.12e^{0.011x }\) million people where, x is number of decades after 1970.

The percentage of people in the United States who live in the Midwest between 1970 and 2010 it is modeled by \(m(x) = 0.002x² − 0.213x + 27.84 \\ \) percent where, x is the number of decades since 1970. So, the population of Midwest will be equal to \(N(x)= p(x)× \frac{m(x)}{100}\)

\( p(x) = 203.12e^{0.011x} (\frac{ 0.002x² − 0.213x + 27.84}{100} ) \\ \)

\(= 203.12e^{0.011x }(0.00002x² − 0.00213x + 0.2784) \\ \)

The rate of change of population of the Midwest x decades after 1970 will be equal to the derivative of the function N(x). So, \(N'(x) \frac{ d(203.12e^{0.011x} (0.00002x²− 0.00213x + 0.2784))}{dx} \\ \)

\(= 0.0000447 e^{0.011x} x² + 0.0033657 e^{0.011x} x +0.1893981 e^{0.011x } \\ \)

In 1990, the number of decades is equal to 2. So, x=2, so \(N'(2) = 0.0000447 e^{0.011 \times 2} \: 2² + 0.0033657 e^{0.011×2} ×2 +0.1893981 e^{0.011×2 } \\ \) = 0.201

Now, in 2010, the number of decades is 4.So, x=4, \(N'(4) = 0.0000447 e^{0.011 \times 4} \: 4² + 0.0033657 e^{0.011×4} ×4 +0.1893981 e^{0.011×4 } \\ \)

= 0.213

Hence, the population is changing at 0.213 million per decade in 2010.

For more information about population, visit :

https://brainly.com/question/25787521

#SPJ4

Answer:

Hopefully this is right, 336,000

Step-by-step explanation:

8% of 300,000 is 24,000

24,000 x 14 = 336,000

The expression for nine more than twice a number is greater than negative eleven is 2M + 9 > -11.

Given,

Nine more than twice a number is greater than negative eleven.

We need to write an expression.

We have,

Twice of M = 2x M

Greater than = >

Negative of M = -M

3 more than M = M + 3

3 less than M = M - 3

We have,

Nine more than twice a number is greater than negative eleven.

Let the number be M.

Twice a number = 2M

Nine more than twice a number = 2M + 9

Greater than negative eleven = > -11

Now,

We have,

2M + 9 > -11

Thus the expression for nine more than twice a number is greater than negative eleven is 2M + 9 > -11.

Learn more about how to write an expression here:

https://brainly.com/question/17618748

#SPJ1

Answer:

6 students

Step-by-step explanation:

Given data

Base charge= $40

charge per student = $30

We are told that for s number of student the tutor charged 220

The expression for the tutor's charges is given as

y= 40+30s

Therefore for y= 220, let us find s, the number of students

220=40+30s

220-40= 30s

180=30s

divide both sides by 30

s= 180/30

s= 6

Hence there are 6 students

For most Welsh Corgis: 25 ≤ shoulder height (cm) ≤ 30, while the internal skull dimension (d) is unrelated.

The compound inequality relating the estimated shoulder height of a dog to the internal dimension of the skull can be expressed as:

25 ≤ d ≤ 30

In this context, most Welsh Corgis have shoulder heights falling within the range of 25 to 30 centimeters. The internal dimension of the skull, represented by "d" in cubic centimeters, is not directly related to the shoulder height but is likely included in the discussion for reference or comparison purposes. The compound inequality signifies that the internal dimension of the skull should fall within the range of 25 to 30 cubic centimeters.

for such more question on inequality

https://brainly.com/question/17448505

#SPJ8

Answer: An Electric Store

Step-by-step explanation: Hoped This Helped! Thx For The Points!

Answer:

B

Step-by-step explanation:

an electronics store

Answer:

g(x) = 3x² - 7

Step-by-step explanation:

Transformations of Parent Graph: f(x) = a(bx - h)² + k

a is vertical shrink or stretch

b is horizontal shrink or stretch

(h, k) is the vertex

k is vertical movement

We are given that a = 3, k = -7, so simply plug it into the formula:

g(x) = 3(x - 0)² - 7

g(x) = 3x² - 7

Answer:

g(x) = 3x^2-7

Step-by-step explanation:

f(x) = x^2 is vertically stretched by a factor of 3 and shifted down 7 to form g(x)

we have

g(x) = 3x^2-7

3 = vertical stretch factor

-7 = translation downwards 7 units.

Answer:

10.4

Step-by-step explanation:

40 percent *26

= (40/100)*26

= (40*26)/100

= 1040/100 = 10.4

a. The expected value of the sum of all incurred but as yet

b. Unreported claims at time t is λt times the expected value of a single claim amount.

Probability is a branch of mathematics that deals with measuring the likelihood of an event occurring. It involves quantifying the chances of different outcomes of a random experiment, such as flipping a coin, rolling a die, or drawing a card from a deck.

According to the given information:

(a) Let N(t) be the number of claims incurred up to time t, and let S be the set of times when claims are incurred but not yet reported. Then, the probability that there are exactly n incurred but as yet unreported claims at time t is given by:

P(N(t) - |S| = n) = P(N(t) = n + |S|) × P(|S|)

Since the occurrence of claims follows a Poisson process with rate λ, the probability of n + |S| claims in time t is:

P(N(t) = n + |S|) = ( + |S| / (n + |S|)!)

The distribution of the time until a claim is reported, G, gives the probability that a claim is reported within some time interval after it is incurred. The probability that a claim is incurred but not reported by time t is given by:

P(|S|) = P(G > t)

Putting all these pieces together, we get:

P(N(t) - |S| = n) = ( + |S| / (n + |S|)!) ×) × P(G > t)

(b) Let X_i denote the claim amount for the i-th incurred but as yet unreported claim. Then, the total claim amount for all incurred but as yet unreported claims at time t is:

Y(t) = Σ_i= - |S| X_i

We can find the expected value of Y(t) by using the law of total expectation:

E(Y(t)) = E[E(Y(t) | N(t), S)]

Given N(t) and S, the expected value of Y(t) is just the sum of the expected values of the claim amounts for the unreported claims:

E(Y(t) | N(t), S) = Σ_i= E(X_i)

Since the claim amounts are independent and identically distributed according to F, we have:

E(X_i) = E(F)

Thus, we get:

E(Y(t)) = E[E(Y(t) | N(t), S)] = E[(n + |S|)E(F)] = λt × E(F)

Therefore, the expected value of the sum of all incurred but as yet unreported claims at time t is λt times the expected value of a single claim amount.

To know more about Probability visit:

https://brainly.com/question/30034780

#SPJ1

For logarithmic equation 1/2 log x + log 4 = 2, the value of x is 34,040.25

Step 1: Using exponentiation principles, isolate a logarithmic expression (with the same base) on both sides of the equation.

Step 2: balance the arguments.

Step 3: Solve the resultant equation.

Step 4: Double-check your answers.

Given,

1/2 log x + log 4 = 2

log x^(1/2) + log 4 = 2

using logₐ(m.n) = logₐ(m) + logₐ(n)

log e (4 (x^1/2)) = 2

e² = 4x^(1/2)

7.38 = 4√x

Squaring on both sides -

54.4644 = 16x

x = 54.4644 / 16

x = 34,040.25

To learn more about logarithmic function from given link

https://brainly.com/question/13473114

#SPJ4

Yes, the two triangles are similar because they have equal angles.

Two objects are similar if they have the same shape, or if one has the same shape as the mirror image of the other. More precisely, one can be obtained from the other by uniformly scaling.

Two triangles are similar if their corresponding angles are equal and their corresponding sides are within the same ratio (or proportion). Similar triangles will have the same shape, but not necessarily the same size.

The missing side of the first triangle is 180-(111+24)

= 180-135

= 45°

The Missing angle of the second triangle is 180-(45+24) = 180-79

= 111°

This means that the corresponding angle of the triangle are equal and hence they are similar.

learn more about similar triangle from

https://brainly.com/question/14285697

#SPJ1

Yes, the triangles are similar.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

Therefore, similar triangle have the corresponding angles equal to each other and the corresponding sides as a ratio of each other.

Hence, If two triangles have two of their angles equal, the triangles are similar by AA(angles angles).

Hence, let's check if two angles are equal in the triangles as follows:

180 - 111 - 24 = 45 degrees.

Therefore, the triangles are similar.

learn more on similar triangle here: https://brainly.com/question/7194331

#SPJ1

Answer:

It is moved 8 units left and 5 units down

y = \(\sqrt[3]{x+8}\) - 5

So vertical translation 5 units down and horizontal translation 8 units left

Answer:

c

Step-by-step explanation:

Answer:

2nd choice

Step-by-step explanation:

Look at the radical, if two radicals can add, they must have the same root. The answer must also have the same root.

Answer:

B on edge

Step-by-step explanation:

The curve is y = sqrt{x}.

Replace x in the curve with 1 and then with 4 to find your point.

y = sqrt{1}

y = 1

First point (1, 1).

y = sqrt{4}

y = 2

Second point (4, 2).

Take it from here.

To show that the general term of the quadratic number pattern is given by \(tn = n^2 + 4n - 12\) , we need to find a quadratic expression that fits the given pattern.

Let's examine the given sequence: -7, 0, 9, 20. We notice that each term is increasing by a certain amount.

First, let's find the differences between consecutive terms:
0 - (-7) = 7
9 - 0 = 9
20 - 9 = 11

We observe that the differences between consecutive terms are not constant, so this indicates that the sequence is not linear.

To determine if the sequence follows a quadratic pattern, let's find the second differences:
9 - 7 = 2
11 - 9 = 2

The second differences are constant, which suggests a quadratic pattern.

Now, let's find the quadratic expression. We know that the general term of a quadratic sequence can be written as \(tn = an^2 + bn + c\), where a, b, and c are constants to be determined.

Using the given terms, we can form three equations:

1.\(For n = 1: -7 = a(1)^2 + b(1) + c\)
2. \(For n = 2: 0 = a(2)^2 + b(2) + c\)
3.\(For n = 3: 9 = a(3)^2 + b(3) + c\)

Simplifying these equations, we get:
1. a + b + c = -7
2. 4a + 2b + c = 0
3. 9a + 3b + c = 9

Solving this system of equations, we find a = 1, b = 4, and c = -12.

Therefore, the general term of the quadratic number pattern is given by\(tn = n^2 + 4n - 12\).

The general term of the quadratic number pattern is \(tn = n^2 + 4n - 12\).

To know more about quadratic sequence :

brainly.com/question/27862903

#SPJ11

Answer:

you did it wrong

Step-by-step explanation:

you add the 2 negatives to qual -5 then divide both sides by -5

Should be -1.6

The expression 24 - 2x is suitable for the length of the garden as it accounts for the width and represents the remaining length of fencing available for the garden.

To enclose a rectangular garden, three sides need to be fenced, while one side is already adjacent to Mr. Picasso's house. The remaining three sides will consist of two equal lengths for the width and one length for the length of the garden.

Since the total length of fencing available is 24 ft, the width requires two equal sides, each of length x ft, which amounts to 2x ft. Subtracting this width from the total length of fencing gives us 24 - 2x ft, which represents the remaining length available for the length of the garden.

Therefore, 24 - 2x is an appropriate expression for the length of the garden as it takes into account the already utilized length for the width and represents the remaining length available for the garden's length.

Learn more about Rectangular area click here :brainly.com/question/29298005

#SPJ11

Answer:

answer is this =8y-2v-8x

Step-by-step explanation:

Answer:

8y - 2v - 8x

Step-by-step explanation:

-2(-3y + v) + 2(-4x + y)

~Distribute

6y - 2v - 8x + 2y

~Combine like terms

8y - 2v - 8x

Best of Luck!

To write the equation y = -13x + 102 in irrational form, we need to isolate x on one side of the equation.

First, let's subtract y from both sides to get:

-y + y2 = -13x + y2 + 102

Next, let's divide both sides by -13 to get:

x = (-1/13)y2 + (1/13)y - (102/13)

Therefore, the irrational equation of y2 = -13x + 102 is:

x = (-1/13)y^2 + (1/13)y - (102/13)

Answer: C = 40

A = 100

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

one thing rsLtd do I FTC Ted e. xrtd dt

The samples of size n = 2 that can be drawn from this population is 28

From the question, we have the following parameters that can be used in our computation:

Population, N = 8

Sample, n = 2

The samples of size n = 2 that can be drawn from this population is calculated as

Sample = N!/(n! * (N - n)!)

substitute the known values in the above equation, so, we have the following representation

Sample = 8!/(2! * 6!)

Evaluate

Sample = 28

Hence, the number of samples is 28

Read more about sample size at

https://brainly.com/question/17203075

#SPJ1

Complete question

A finite population consists of 8 elements.

10,10,10,10,10,12,18,40

How many samples of size n = 2 can be drawn this population?

Sarah was charged $54 for parts after the store's technician worked on the computer for 4.25 hours. The cost came to $585.25. The value of x is $125.

Let's use the variable x to represent the cost of the labor per hour.

The technician worked on the computer for 4.25 hours, so the cost of the labor would be:

4.25x

The technician also charged Sarah $54 for parts. So the total cost of the repair is:

4.25x + 54

We know that the total cost of the repair was $585.25. Therefore, we can write the following equation:

4.25x + 54 = 585.25

To solve for x, we need to isolate the variable on one side of the equation. First, we can subtract 54 from both sides:

4.25x = 531.25

Next, we can divide both sides by 4.25:

x = 125

Therefore, the cost of the labor per hour is $125.

To learn more about cost, refer:-

https://brainly.com/question/19326587

#SPJ1