How many 1/8 teaspoons are eaqual to 4 3/4 teaspoons

Answer:

The answer is two places to the right. For every 0 you move the decimal one place. And since the 100 is positive you move the decimal to the right.

Step-by-step explanation:

Answer:

Two places to the right

Step-by-step explanation:

Thus, 6.8×100=680

Answer:

The answer is 4

Step-by-step explanation:

I hope it helps I had to do the math

Answer:

$41.31

Step-by-step explanation:

45 times 0.15 = 6.75

45 - 6.75 = 38.25

38.25 times 1.08 = 41.31

Thus, we need to find the smallest value of n such that P(first failure on nth trial) ≥ 0.5.P (first failure on 1st trial) = 0.04P (first failure on 2nd trial) = 0.96 x 0.04 = 0.0384P (first failure on 3rd trial) = 0.96^2 x 0.04 = 0.036864P (first failure on 4th trial) = 0.96^3 x 0.04 = 0.035359744And so on.

We can see that the probability decreases with each trial. Therefore, the smallest value of n for which P(first failure on nth trial) ≥ 0.5 is n = 15.e) Probability of at Least 5 Diodes until the First Failure The probability of at least 5 diodes working until the first failure can be modeled by a negative binomial distribution.

The probability of success in one trial is 0.96, and the probability of failure is 0.04. Therefore, the probability of getting r successful trials before the first failure in the nth trial is given by:P (r successful trials before first failure) = (n-1)Cr-1 * p^r * (1-p)^(n-r)Here, r = 5, n = 6, p = 0.96, and 1-p = 0.04.P (5 successful trials before first failure) = 5C4 x 0.96^5 x 0.04^1 + 5C5 x 0.96^6 x 0.04^0= 0.746015552or 74.6016%Answer: Mean number of failures = 8 failures. Variance = 7.68. Probability of the board working = 29.923%. The number of diodes that work until the first failure is 15. The probability of at least 5 diodes working until the first failure is 74.6016%.

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The probability of getting 0 lemons in the sample is 0.8836, the probability of getting 1 lemon in the sample is 0.1060, and the probability of getting 2 lemons in the sample is 0.0564.

The probability distribution of x can be calculated as follows:

Given that 6% of all cars produced at a large auto company are lemons. This means that out of every 100 cars manufactured at the company, 6 of them are lemons.Let x denote the number of lemons in this sample. Then, x can take the values 0, 1, or 2. To find the probability of each value of x, we use the binomial probability formula, which is:

P(x) = (nCx) * p^x * (1-p)^(n-x)

where n is the sample size, p is the probability of success, and x is the number of successes.

The sample size is 2 because we are selecting two cars at random from the production line. The probability of success (getting a lemon) is 0.06. Using the binomial probability formula, we get:

P(0) = (2C0) * 0.06^0 * (1-0.06)^(2-0) = 0.8836

P(1) = (2C1) * 0.06^1 * (1-0.06)^(2-1) = 0.1060

P(2) = (2C2) * 0.06^2 * (1-0.06)^(2-2) = 0.0564

Therefore, the probability distribution of x is:X P(x) 0. 0.8836 1. 0.1060 2. 0.0564

In conclusion, the probability of getting 0 lemons in the sample is 0.8836, the probability of getting 1 lemon in the sample is 0.1060, and the probability of getting 2 lemons in the sample is 0.0564.

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Answer:

The answer is 122

Step-by-step explanation: 0.25 is the constant proportionality in this equation .

let meh know if you need more answers ✨✨

Answer:

1222

Step-by-step explanation:

The final polynomial equation after synthetic division is \(x^5-3x^4-81x+243\)

We need to solve;

Put the solution in the appropriate spot on the grid after using synthetic division to divide the following polynomial. Respond with descending powers of x.

The polynomial equation given is;

\(\left(x^4-81\right)\left(x-3\right)\)

By using synthetic division;

⇒ \(x^4x+x^4\left(-3\right)-81x-81\left(-3\right)\)

    \(x^5-3x^4-81x+243\)

→ The required final equation in descending powers of x is \(x^5-3x^4-81x+243\) .

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Answer:

He received $320

Step-by-step explanation:

It's $10 less than  half of last year so we add 10 to 150 which give 160 *2 (because it was half) and we get $320(the amount he got last year) All, in all this kids parents are losing money.

Answer:

The answer is $320

Step-by-step explanation:

This year, Arthur received $150 for his birthday, which is $10 less than half the amount he received last year.

So, half of the amount of money he received last year was $150+$10 = $160.

In order to find the money Arthur received last year, this number has to be multiplied by 2.

Arthur received $160*2 = $320 in total.

Answer:

i think the 3rd one i have not done that in a while

Step-by-step explanation:

sorry if its not right

Answer:

x = 3

Step-by-step explanation:

Given that,

The mode of the data 2,3,3,5,7,7,6,5, x and 8 is 3.

We need to find the value of x.

We know that, Mode is the number in a data with Max frequency. x can be 3 or 7. If x = 7, mode becomes 7 and if x = 3, mode equals 3.

Hence, the value of x is equal to 3.

Answer:

-4 37/72

Step-by-step explanation:

-4 5/8+2/18= -4 5/8+ 1/9= -4 45/72+8/72=-4 37/72

64.77% of a given amount remains after 900 years.

To determine the percentage of radioactive radium remaining after 900 years, we'll use the half-life formula:

Final Amount = Initial Amount * \(1/2^{(time elapsed / half-life)}\)

In this case, the half-life is 1599 years and the time elapsed is 900 years. We want to find the percentage remaining, so let's assume the initial amount is 100%.

Final Amount = 100 * \((1/2)^{(900 / 1599)}\)

Now, we'll calculate the exponent:

Exponent = 900 / 1599 ≈ 0.5635

Then, we'll compute the final amount:

Final Amount ≈ 100 * \((1/2)^{0.5635}\) ≈ 100 * 0.6477 ≈ 64.77%

After 900 years, approximately 64.77% of the initial radioactive radium remains. This percentage was found using the half-life formula, which accounts for the exponential decay of radioactive substances over time.

The formula shows how the remaining amount of a substance decreases as time progresses based on its half-life, which is the time it takes for half of the substance to decay. In this scenario, radium's half-life of 1599 years and the 900-year time frame were used to determine that roughly 64.77% of the initial radium remains.

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The force that is applied to move the object is obtained as 25.4 N

Let us recall that in physics work is the product of the force and the distance that is covered.

W = F * d

where W is the amount of work completed, F is the force applied, d is the distance traveled, and theta is the angle formed by the force's and the displacement's directions.

Thus we have;

Work = Force * distance

Force = Work/Distance

= 350J/13.8 m

= 25.4 N

The force that is applied is 25.4 N

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Answer:

(x+7)(x-7)

Step-by-step explanation:

These are perfect squares. Whenever you have perfect squares, you can take the square root of the constant. The constant is 49 in this case. The square root of 49 is + or - 7. Therefore, you get (x+7) and (x-7) as solutions. Factored form is (x+7)(x-7).

Answer:

The answer is 6.5

Step-by-step explanation:

(a)The amount of water in the tank is increasing.

(b)Evaluate  \(\int\limits^{18}_0(W(t) - R(t)) dt\) to get the number of gallons of water in the tank at t = 18.

(c)Solve part (b) to get the absolute minimum from the critical points.

(d)The equation can be set up as   \(\int\limits^k_{18}-R(t) dt = 1200\) and solve this equation to find the value of k.

What is the absolute value of a number?

The absolute value of a number is its distance from zero on the number line. It represents the magnitude or size of a real number without considering its sign.

To solve the given problems, we need to integrate the given rates of water flow to determine the amount of water in the tank at various times. Let's go through each part step by step:

a)To determine if the amount of water in the tank is increasing at time t = 15, we need to compare the rate of water being pumped in with the rate of water being removed.

At t = 15, the rate of water being pumped in is given by \(W(t) = 95Vt sin^2(\frac{t}{6})\) gallons per hour. The rate of water being removed is \(R(t) = 275 sin^2(\frac{1}{3})\) gallons per hour.

Evaluate both rates at t = 15 and compare them. If the rate of water being pumped in is greater than the rate of water being removed, then the amount of water in the tank is increasing. Otherwise, it is decreasing.

b) To find the number of gallons of water in the tank at time t = 18, we need to integrate the net rate of water flow from t = 0 to t = 18. The net rate of water flow is given by the difference between the rate of water being pumped in and the rate of water being removed. So the integral to find the total amount of water in the tank at t = 18 is:

\(\int\limits^{18}_0(W(t) - R(t)) dt\)

Evaluate this integral to get the number of gallons of water in the tank at t = 18.

c)To find the time t when the amount of water in the tank is at an absolute minimum, we need to find the minimum of the function that represents the total amount of water in the tank. The total amount of water in the tank is obtained by integrating the net rate of water flow over the interval [0, 18] as mentioned in part b. Find the critical points and determine the absolute minimum from those points.

d. For t > 18, no water is pumped into the tank, but water continues to be removed at the rate R(t) until the tank becomes empty. To find the value of k, we need to set up an equation involving an integral expression that represents the remaining water in the tank after time t = 18. This equation will represent the condition for the tank to become empty.

The equation can be set up as:

\(\int\limits^k_{18}-R(t) dt = 1200\)

Here, k represents the time at which the tank becomes empty, and the integral represents the cumulative removal of water from t = 18 to t = k. Solve this equation to find the value of k.

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As per transformation of graph, h(x) = 1/4x² - 11 represents that the graph of f(x) is horizontally compressed by a factor of 4 and shifted down by 11 units.

To know the effect on the graph

Given, the graph is f(x) = x².

We know that, at the time of horizontally compressing a graph we need to multiply it by a factor of (1/a).

Again, at the time of shifting a graph up we need to add a positive number of (b).

Therefore, a = 4 and b = - 11.

Now, if we horizontally compress f(x) it by a factor of (1/4) then it be (1/4)x².

Again,  if we shifted down f(x) by 11 units, then it be (1/4)x² - 11.

Therefore, h(x) = (1/4)x² - 11 represents that the graph of f(x) is horizontally compressed by a factor of 4 and shifted 11 units down.

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Answer:

id.k hunnybut than you

Step-by-step explanation:

Using a standard normal distribution table or calculator, we can find that the proportion of sample means that are equal to or greater than 82 is 1 - 0.7486 = 0.2514, or about 25.14%.

The formula to calculate the standard error of the mean (SEM) is:

SEM = s / sqrt(n)

where s is the sample standard deviation and n is the sample size.

The SEM represents how much the sample means vary from the population mean. It measures the precision of the sample mean as an estimate of the population mean. A smaller SEM indicates a more precise estimate.

The formula for transforming a value of X from a sampling distribution of the mean to a score on the standard normal distribution (Z-score) is:

Z = (X - μ) / (s / sqrt(n))

where X is the sample mean, μ is the population mean, s is the sample standard deviation, and n is the sample size.

The Z-score tells us how many standard deviations away from the population mean the sample mean is. A positive Z-score means the sample mean is above the population mean, and a negative Z-score means the sample mean is below the population mean.

Since the population is normally distributed, the distribution of sample means will also be normally distributed. We can use the central limit theorem to approximate this distribution.

We are given that μ = 80 and σ = 12. To find the distribution of sample means, we need to calculate the standard error of the mean:

SEM = 12 / sqrt(16) = 3

Now we can find the Z-score for a sample mean of 82:

Z = (82 - 80) / (3) = 0.67

Using a standard normal distribution table or calculator, we can find that the proportion of sample means that are equal to or greater than 82 is 1 - 0.7486 = 0.2514, or about 25.14%.

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Answer:

c. plane

Step-by-step explanation:

There are three terms generally considered to be undefined in geometry:- Point, Line, Plane.

A circle is the set of all points in a plane the same distance from a given points (i.e center of the circle)  

Thus, the three terms of an arithmetic progression are (8, 13, and 18) or, (9, 13, and 17).

Let three terms of an arithmetic progression = (a - d), a, ( a + d)

According to the question:

The sum of three terms of an arithmetic progression = 39

∴  (a - d) + a + ( a + d) = 39

⇒ 3a = 39

⇒ a = 13

Also, The product of three terms of an arithmetic progression = 2145

∴  (a - d)a( a + d) = 2145

⇒ a(a^2 - d^2) =  2145

Put a = 13, and we get

d=4

Three terms of an arithmetic progression = (13 - 4), 13 and ( 13 + 4)

= 9,13,17

Put a = 13 and d = 4

Thus, the three terms of an arithmetic progression are (8, 13, and 18) or, (9, 13, and 17).

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Answer:

Three ways I experience these benefits is 1, being able to vote in free elections, 2, being able to receive an education, and 3, being able to volunteer for things.

Step-by-step explanation:

Answer:

x=8

larger angle=113

smaller angle=67

Step-by-step explanation:

8x+3=a(Vertically opposite angle)

a+14x+1=180°(Angles between parallel line)

8x+3+14x+1=180°

22x+4=180°

22x=176°

x=8

Answer:

2.65

Step-by-step explanation:

21.20 ÷ 8 = 2.65

Answer:

86.625 in³

Steps:

V = 5.5 × 4.5 × 3.5

V = 86.625 in³

The area of the shape is 192.5 ft²

The area of a shape is the space occupied by the boundary of a plane figures like circles, rectangles, and triangles.

The shape can be divided into parallelogram and trapezium.

area of parallelogram is expressed as;

A = base × height

A = 11 × 7

A = 77 ft²

Area of trapezium is expressed as

A = 1/2(a+b)h

A = 1/2( 8+13) 11

A = 21×11/2

A = 115.5

The area of the shape

= 77+ 115.5

= 192.5 ft²

Therefore the area of the shaded region is 192.5 ft²

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Movement plays a crucial role in various aspects of our lives, including physical health, cognitive development, and emotional well-being.

Movement is essential for maintaining physical health and well-being. Regular physical activity helps to strengthen muscles and bones, improve cardiovascular fitness, and maintain a healthy weight. Engaging in activities such as walking, running, swimming, or cycling promotes the overall functioning of the body and reduces the risk of chronic diseases like heart disease, diabetes, and obesity.

Furthermore, movement has a significant impact on cognitive development. Physical activity stimulates the brain and enhances cognitive functions such as memory, attention, and problem-solving skills. Studies have shown that children who engage in regular physical activity tend to perform better academically and have improved cognitive abilities compared to those who lead sedentary lifestyles. Exercise increases blood flow and oxygenation to the brain, promoting neuroplasticity and the growth of new brain cells.

In addition to physical health and cognitive development, movement also plays a crucial role in emotional well-being. Exercise releases endorphins, which are neurotransmitters that help reduce stress and improve mood. Regular physical activity has been linked to lower rates of depression and anxiety, as it provides a natural boost to mental health. Engaging in activities that involve movement, such as dancing, yoga, or team sports, can also enhance social connections and promote a sense of belonging and self-confidence.

In conclusion, movement is vital for our overall well-being. It contributes to physical health, cognitive development, and emotional well-being. By incorporating regular physical activity into our daily routines, we can reap the numerous benefits associated with movement and lead healthier, more fulfilling lives.

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Answer:

Step-by-step explanation:

Bacteria is helpful because it helps protect the cells in your intestines. Its, harmful because itI can cause a disease in your lungs.

Hope this helps!

Answer: true

Step-by-step explanation:

The good Samaritan law allows you to help people and not be liable for trying to do so.