Hannah makes and sells bg. I used that she could only make 4 bag in one day. Now that she got her new sowing machine she can make 7 bags a day

Answer:

1+2=3

Step-by-step explanation:

Answer:

1. 476

2. 442

3. 34

4. 104

5. 5

6.  52

7. 297

8. 72

9. 16

10. 252

11.266

12. 3

13.  24

14. 58

Step-by-step explanation:

First, identify the variables:

n = amount of nickels

d = amount of dimes

Next, setup the equations based on what you know.  The first equation is:

n + d = 28

For the second equation, we know that a dime is worth 10¢ and a nickel is 5¢, so it should be:

0.05n + 0.10d = 1.95

This a three-step answer:

In one formula (you can use any of them; most people use the simplest one), single out the variable on one side

Apply the first formula into the second formula, and solve it to get the value of one variable

Apply the answer from the second formula into the first formula, and solve it to get the value of the other variable

The probability that at least one child would draw the nickel too small is: P(X ≥ 1) = 1 - P(X = 0).

b) To find the probability that exactly 4 children would draw the nickel too small, we can use the binomial probability formula. The formula is: P(X = k) = (nCk) * (p^k) * (q^(n-k)), where n is the number of trials, k is the number of successes, p is the probability of success, and q is the probability of failure.

In this case, n = 8 (as 8 children are chosen), k = 4 (as exactly 4 children drawing the nickel too small), p = 0.15 (as the probability of a child drawing the nickel too small), and q = 1 - p = 1 - 0.15 = 0.85.

So, the probability that exactly 4 children would draw the nickel too small is: P(X = 4) = (8C4) * (0.15^4) * (0.85^(8-4)).

c) To find the probability that at least one child would draw the nickel too small, we can use the complement rule. The probability of at least one success is equal to 1 minus the probability of no success.

The probability of no success (all children drawing the nickel of the right size) is given by: P(X = 0) = (8C0) * (0.15^0) * (0.85^8).

Therefore, the probability that at least one child would draw the nickel too small is: P(X ≥ 1) = 1 - P(X = 0).

to learn more about probability.

https://brainly.com/question/31828911

#SPJ11

Step-by-step explanation:

(i) To find the value of p, we need to find the magnitude of vector a:

|a| = √(2p^2i - 6p^2j + 3p^2k)

= √(2p^2 + 36p^2 + 9p^2)

= √(47p^2)

Since a is a unit vector, the magnitude of a must be 1. So, we can set up an equation to solve for p:

1 = √(47p^2)

p^2 = 1 / 47

p = √(1 / 47)

(ii) To find the dot product of a and b, we can use the formula:

a.b = |a| * |b| * cos(θ)

where θ is the angle between vectors a and b.

Since we know that a is a unit vector, the magnitude of a is 1. We can find the magnitude of b using the formula:

|b| = √(i^2 + j^2 + (-2k)^2)

= √(1 + 1 + 4)

= √(6)

So,

a.b = 1 * √(6) * cos(θ)

Answer:

diameter 12mm

Step-by-step explanation:

Answer:

She received $7.78

Step-by-step explanation:

Take the amount of produce times the price 6.5x1.88=12.22 . Then subtract 12.22 from the 20 dollars she paid for it 20-12.22=7.88. Therefore, the answer is $7.78.

The exact length of the curve x = 8 6t2, y = 7 4t3, 0 ≤ t ≤ 2 is 8π units.

To find the length of the curve defined by the parametric equations x = 8 6t^2, y = 7 4t^3, 0 ≤ t ≤ 2, we can use the formula for arc length:

L = ∫[a,b] √[dx/dt]^2 + [dy/dt]^2 dt

where [a,b] is the interval of t, and dx/dt and dy/dt are the derivatives of x and y with respect to t.

In this case, we have:

dx/dt = 96t

dy/dt = 84t^2

So the length of the curve is:

L = ∫[0,2] √(96t)^2 + (84t^2)^2 dt

Simplifying the integrand, we get:

L = ∫[0,2] √(9216t^2 + 7056t^4) dt

Now, we can use a trigonometric substitution to simplify the integrand further. Let t = (1/2)sinθ, so that dt/dθ = (1/2)cosθ. Then:

L = ∫[0,π] √(9216/4)sin^2θ + (7056/4)sin^4θ) (1/2)cosθ dθ

L = 48 ∫[0,π] √(3 + 3sin^2θ)sin^2θ dθ

Using the substitution u = cosθ, du/dθ = -sinθ, and sin^2θ = 1 - cos^2θ, we can rewrite the integral as:

L = 48 ∫[-1,1] √(3 + 3u^2)(1 - u^2) du

Expanding the integrand and simplifying, we get:

L = 48 ∫[-1,1] √(3/4 - (3/4)u^4) du

Now, we can use the substitution v = (3/4)u^2, dv/du = (3/2)u, and u = ±sqrt(4v/3), to get:

L = 32 ∫[0,3/4] √(1 - v^2) dv

This is a standard integral that evaluates to π/4, so we have:

L = 32(π/4) = 8π

Therefore, the length of the curve is 8π units.

Learn more about: Length of curve - https://brainly.com/question/31400333

#SPJ11

The amount borrow by one of the Stingy's customer with interest in a year of $3000 at 6% interest rate is equal to $50,000.

As given in the question,

Interest rate 'R' = 6%

Interest amount 'I' = $3000

Time 'T' = 1year

Let 'P' be the money borrow by Stingy's customer

Simple interest = (P×R×T) /100

⇒3000 = (P×6×1) / 100

⇒P = (3000×100) / 6

⇒P = $50,000

Therefore, the amount borrow by one of the Stingy's customer with interest in a year of $3000 at 6% interest rate is equal to $50,000.

Learn more about interest here

brainly.com/question/13324776

#SPJ1

a. The value of the crane will be $118,252.50.

b. The domain of the function is 0 ≤ t ≤ 9.

c. The range of the function is 44,697.42 ≤ V(t) ≤ 400,000.

d. After 6.92 years, the crane will only be worth $85,000.

a. To find the value of the crane after 5 years and 6 months, plug in t = 5.5 into the function: V(5.5) = 400000(1 - 0.25)^(5.5).

The value of the crane will be $118,252.50.

b. The domain of the function is 0 ≤ t ≤ 9 since it represents the first 9 years of use.

c. The range of this function can be determined by finding the minimum and maximum values of V(t). The minimum value occurs at t = 9, and the maximum value occurs at t = 0.

V(0) = 400000(1 - 0.25)^0 = 400000
V(9) = 400000(1 - 0.25)^9 ≈ 44,697.42

So, the range of the function is 44,697.42 ≤ V(t) ≤ 400,000.

d. To find the number of years it takes for the crane to be worth $85,000, set V(t) = 85,000 and solve for t:

85,000 = 400000(1 - 0.25)^t

Divide both sides by 400,000:
0.2125 = (1 - 0.25)^t

Take the natural logarithm of both sides and solve for t:
t = ln(0.2125)/ln(1 - 0.25) ≈ 6.92

After approximately 6.92 years, the crane will only be worth $85,000.

Learn more about "function": https://brainly.com/question/2328150

#SPJ11

a. To find the value of the crane after 5 years and 6 months, we need to plug t = 5.5 (since 6 months is half a year) into the function V(t) = 400000(1 - 0.25)^t.

V(5.5) = 400000(1 - 0.25)^5.5 ≈ $103,602.56

The value of the crane after 5 years and 6 months will be approximately $103,602.56.

b. The domain of the function represents the time in years, t. Since the function is valid for the first 9 years, the domain is:

0 ≤ t ≤ 9

c. To find the range of the function, we need to evaluate the minimum and maximum values of V(t). The minimum value occurs at t = 9, while the maximum value occurs at t = 0.

V(0) = 400000(1 - 0.25)^0 = 400000
V(9) = 400000(1 - 0.25)^9 ≈ $18,366.21

Therefore, the range of the function is:

18,366.21 ≤ V(t) ≤ 400,000

d. To find after how many years the crane will be worth only $85,000, we need to solve the equation V(t) = 85,000 for t.

85,000 = 400000(1 - 0.25)^t

To solve for t, we can use logarithms:

t = log(1 - 0.25)[(85,000 / 400,000)] ≈ 5.077

After approximately 5.077 years, the crane will only be worth $85,000.What is Deprication expense: Depreciation expense is added to net income in a statement of cash flowsprepared using the indirect method. Depreciation expense is allocated portion of cost shown on the income statement that reduces the company's net income. It is considered as a non cash expense, hence it is added to the net income in a statement of cash flows.

Learn More About Calculation of Depreciation: https://brainly.com/question/13894858

#SPJ11

The union of events A and B, denoted by A∪B, contains all outcomes that are in A or B. Option B

In probability theory, events A and B represent sets of outcomes from a given experiment or sample space. The union of two events A and B is the set of all outcomes that belong to either A or B or both. It is formed by combining the elements from both sets without repetition.

Mathematically, the union of events A and B is defined as:

A∪B = {x : x ∈ A or x ∈ B}

This means that any outcome x that is in event A or event B (or both) will be included in the union of A and B.

To illustrate this concept, consider the following example:

Event A: Rolling an even number on a fair six-sided die

A = {2, 4, 6}

Event B: Rolling a number greater than 4 on a fair six-sided die

B = {5, 6}

The union of A and B, denoted by A∪B, will contain all outcomes that are in A or B:

A∪B = {2, 4, 5, 6}

Therefore, option B is the correct choice. The union of events A and B contains all outcomes that are in A or B.

For more such questions on union visit:

https://brainly.com/question/2166579

#SPJ8

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.

Learn more about investment from

https://brainly.com/question/24703884

#SPJ11

The equivalent ratio is 12: 18

The ratio is 12:_ = 16: 24

12/x = 16/ 24

x≠0, because the denominator can never be 0.

Solve the equation

12/x = 16/24

12/x = 2/3

x = 18

Therefore the equivalent ratio is 12:18.

To know more about the ratio refer to the link given below:

https://brainly.com/question/12024093

#SPJ1

Answer: 1/4

Step-by-step explanation: 20 is a fourth of 80

Please mark brainleist if I got it right. I really need it to level up

The value of the infinite series as n tends to 0 is: 0

Infinite series is defined as the sum of infinitely many numbers related in a given way and listed in a given order. Infinite series are important in mathematics and in such disciplines as physics, chemistry, biology, and engineering.

From the infinite series, we want to find the value of the series as n tends to 0.

We are given the series as:

x/2ˣ

At x = 0, we have:

0/2⁰ = 0/1 = 0

Read more about infinite series at: https://brainly.com/question/30221799

#SPJ1

Using a die to simulate your quiz score allows you to incorporate randomness into the guessing process and estimate the probability of passing the quiz by chance.

To simulate your quiz score using a die, you can assign each answer choice to a number on the die. Since there are six answer choices (A, B, C, D, E, F) and a standard die has six sides, you can assign each choice to one side of the die.

Here's how you can set up the simulation:

Label each face of the die with one of the answer choices (A, B, C, D, E, F).

Roll the die for each question and record the letter that corresponds to the face that comes up.

Repeat this process for all 10 questions to get your simulated quiz score.

Once you have your simulated quiz score, you can calculate the number of correct answers and compare it to the passing grade criteria. For example, if the passing grade requires getting at least 6 out of 10 questions correct, count how many of your simulated quiz answers match the correct answers. If the count is equal to or greater than 6, consider it a passing grade; otherwise, it's a failing grade.

To determine the probability of receiving a passing grade by guessing, you can repeat the simulation many times (e.g., 1000 times) and keep track of the number of times you get a passing grade. Divide the number of successful outcomes (passing grades) by the total number of trials (simulations) to calculate the probability.

It provides a straightforward and tangible way to visualize and understand the concept of probability in this scenario.

Learn more about probability here:

https://brainly.com/question/31828911

#SPJ11

Answer:

C

Step-by-step explanation:

Okay so on Saturday there is a 30% sale plus she comes early so +10% and that makes 40% off.

10% of 400=40

multiply by 4 to get 40%, 40*4=40%

40%=160

400-160=240

Hope this helps

400 x 0.30 = 120

400 - 120 = 280

280 x 0.10 = 28

280 - 28 = 252

So 252 is you answer.

Answer:

16 percent decrease

Step-by-step explanation:

We need to use the fact that the percentages of all three categories must add up to 100%. Therefore, the percentage of independent voters can be found by subtracting the percentages of democrat and republican voters from 100%.
Percentage of independent voters = 100% - 35% - 40% = 25%
So, 25% of the registered voters are independent.
In conclusion, the percentage of independent voters is 25%. This is because the percentages of democrat, republican, and independent voters must add up to 100%. The percentages of democrat and republican voters are given, so we can find the percentage of independent voters by subtracting those from 100%.
Based on the given information, 35% of registered voters are classified as Democrats, and 40% are classified as Republicans. To find the percentage of registered voters who are independent, we need to subtract the total percentage of Democrats and Republicans from 100%.
100% - (35% + 40%) = 100% - 75% = 25%
Therefore, 25% of the registered voters are classified as independent.

To know more about Percentage visit:

https://brainly.com/question/16797504

#SPJ11

The number of degrees of freedom for a confidence interval estimate of the population standard deviation is n - 1, where n is the sample size. In this case, n = 146, so the number of degrees of freedom is 145.

The critical values χ2L and χ2R can be found using a chi-square distribution table with a level of significance of 0.05 and the degrees of freedom of 145.

To find the confidence interval estimate of σ, we can use the formula:

sqrt((n-1)s^2/χ2R) ≤ σ ≤ sqrt((n-1)s^2/χ2L)

Substituting the given values, we get:

sqrt((146-1)(1.97)^2/171.1) ≤ σ ≤ sqrt((146-1)(1.97)^2/119.2)

which simplifies to:

1.826 ≤ σ ≤ 2.225

Therefore, we can say with 90% confidence that the population standard deviation of white blood counts of women is between 1.826 and 2.225 (1000 cells/μL).

Learn more about Standard Deviation here: brainly.com/question/29115611

#SPJ11

The general indefinite integral of 6 \(\sqrt{(x^7)}\ is\ 4/15(x^15/2) + C\). By making the substitution u = x^3 + 39, the integral of \(x^2\sqrt{(x^3 + 39)}\) dx becomes 1/9\((u^{2/3})\) + C.

To find the general indefinite integral of 6\(\sqrt{(x^7)}\), we can use the power rule for integration, which states that ∫\(x^n\) dx = \((1/(n+1))x^{n+1} + C\), where C is the constant of integration. Applying this rule, we have ∫6\(\sqrt{(x^7)}\) dx = 6∫\((x^7)^{1/2}\) dx = 6 * (2/9)\((x^{7/2})\) + C = 4/15\((x^{15/2})\) + C.

Now, let's evaluate the integral ∫x^2√(x^3 + 39) dx by making the substitution u = \(x^3\) + 39. Taking the derivative of u with respect to x gives du/dx = \(3x^2\). Rearranging this equation, we have dx = (1/3x^2) du. Substituting this back into the integral, we get ∫\(x^2\sqrt{(x^3 + 39)}\) dx = ∫\((x^2)(u^{1/2}) * (1/3x^2)\) du = (1/3)∫\(u^{1/2}\) du.

Integrating u^(1/2) with respect to u using the power rule, we have (1/3) * \((2/3)(u^{3/2}) + C = 2/9(u^{2/3}) + C\). Substituting back u = x^3 + 39, the final result is \(2/9(x^3 + 39)^{2/3} + C\).

Learn more about indefinite integral here:
https://brainly.com/question/31617899

#SPJ11

A container size of at least 66.03 ounces will ensure that overflow occurs only 0.5% of the time.

To make sure overflow occurs only 0.5% of the time, we would have to find the container of size "c" such that the amount of distilled water dispensed by the machine does not exceed c with a probability of 0.995 (or 1-0.005).

Let X be the amount of distilled water dispensed by the machine. Then X ~ N(64, 0.78^2).

We want to find c such that P(X ≤ c) = 0.995.

We can standardize X to a standard normal distribution:

Z = (X - μ) / σ

Z = (c - 64) / 0.78

Then we can find the value of Z such that P(Z ≤ z) = 0.995, where z is the z-score associated with the 0.995 percentile of the standard normal distribution.

Using a standard normal distribution table or a calculator, we can find that z ≈ 2.576.

Therefore, 2.576 = (c - 64) / 0.78. Solving for c, we get:

c = 64 + 2.576 * 0.78 ≈ 66.03

So a container size of at least 66.03 ounces will ensure that overflow occurs only 0.5% of the time.

Learn more about standard normal distribution on

https://brainly.com/question/29509087

#SPJ4

Answer: Each worker picked 70 apples

Step-by-step explanation:

1050 apples divided by 15 workers

1050/15 = 70

Answer

x = 30

Explanation

We need to find the value of x in the proportion

Hope this Helps!!!

Answer:

CED

Step-by-step explanation:

I hope this helps you

Answer:

A. $4594.74

Step-by-step explanation:

To figure this out, use the equation A = P(1 + r/n)^nt. (A is the total principal (P) + interest; r is the decimal form of the annual rate (R), n is the compound, and t is the time in years)

Substitutions added

A = 4000((1 + 0.02/1)^(1(7))

Step 1: We can go on ahead and cancel both the division and multiplication by 1 here.

A = 4000((1 + 0.02)^7)

Step 2: Add 0.02 to 1.

A = 4000(1.02 ^ 7)

Step 3: Find 1.02 to the seventh power. (I rounded it for convenience)

A = 4000(1.14868)

Step 4: Multiply 4000 by 1.14868

A = 4594.74267

Step 5: This is important! Round that answer to the nearest cent.

A = $4594.74, which is A.