find the area of the circle

Answer:

5. B 4, 24, 44, 64, 84, 104, 124

6. F -9 < x (less than or equal to) -2

7. G. All Real Numbers

Step-by-step explanation:

5. The 4 is always their, so the answer must be multiples of 20 + 4.  There are only 6 weights so it can't go over 124

6.  The -9 is an open circle and therefor <, the -2 is a closed circle and therefor less than or equal to.

7.  There are no X inputs that would make the function have an imaginary output

Answer:

A and D

Step-by-step explanation:

67 right out of 100 for the fraction and 67/100 = 67%

Answer:

This equation has no solution. A a non-zero constant never equals zero.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

x = -1

Step-by-step explanation:

This is the answer because -1 would make the scale completely even with the other side.

Answer:

I think that it is the second one

Answer:

b

Step-by-step explanation:

Answer:

a is most likely to be the answer

Step-by-step explanation:

200% = 2

5/2=2.5

Answer:

i

Step-by-step explanation:

Zero has one square root which is 0. Negative numbers don't have real square roots since a square is either positive or 0. The square roots of numbers that are not a perfect square are members of the irrational numbers. This means that they can't be written as the quotient of two integers.

 the answer is i

Step-by-step explanation:

for real this is true

Answer:

If the circular track has a circumference of 0.5 mile, then its circumference in feet is:

0.5 mile x 5,280 feet/mile = 2,640 feet

The formula for the circumference of a circle is:

C = 2πr

where C is the circumference and r is the radius of the circle. Substituting the values we have:

2,640 = 2 x 3.14 x r

Solving for r, we get:

r = 2,640 / (2 x 3.14) = 420.38 feet

Therefore, the radius of the circular track, in feet, is approximately 420.38 feet. Rounded to the nearest hundredth, the answer is 420.38 feet, which corresponds to the third option.

The vector A is (49.9m) x and vector B is (1.5m) x.

In the given question, A − B = (−51.4m)x, C =(62.2m)x, and A +B +C =(13.8m)x.

Find the vector A. Find the vector B.

We may disregard the vector x and treat the issue as an arithmetic one since all of the measurements are in the same direction (simultaneous equations).

A − B = −51.4.............................(1)

C = 62.2.............................(2)

A + B + C = 13.8.............................(3)

Now putting the value of C from Equation (2) in Equation (3)

A + B + C = 13.8

A + B + 62.2 = 13.8

Subtract 62.2 on both side, we get

A + B = 13.8 - 62.2

A + B = - 48.4.....................(4)

Adding the equation (1) and (4), we get

2A = - 99.8

Divide by 2 on both side, we get

A = - 49.9

Now subtracting the equation (1) and (4), we get

2B = -48.4 - ( -51.4)

2B = 3

Divide by 2 on both side, we get

B = 1.5

Since all of the calculations are done in terms of the unit vector x.

So the answer is vector B = (1.5m) x and vector A = (49.9m) x.

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

120

The limit of h(x) as x approaches infinity is ∞, and as x approaches 0, is undefined due to division by zero.

x h(x)

1 2 + 2

2 1.41 + 1

4 2 + 0.25

8 2.83 + 0.125

16 4 + 0.0625

To find the limit of h(x) as x approaches infinity, we see that h(x) = √(x) + 2/x - 5. As x increases without bounds, the square root of x and 2/x both approach infinity, but the value of -5 is constant. Therefore, the limit of h(x) as x approaches infinity is infinite.

To find the limit of h(x) as x approaches 0, we see that h(x) = √(x) + 2/x - 5. As x approaches 0, the value of the square root of x approaches 0, and the value of 2/x approaches infinity. However, the value of -5 is constant. Therefore, the limit of h(x) as x approaches 0 is -5 + ∞, which is undefined.

The limit of h(x) as x approaches 0 is undefined.

You could also say that the function is not defined at x = 0, meaning that the limit as x approaches 0 does not exist.

It's worth noting that the original function is not defined when x=0 as we are dividing by x, so it's impossible to calculate the limit of this function at that point.

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Answer:

\(A=5024\ cm^2\)

Step-by-step explanation:

Father will make an ornamental fish pond. The pool is circular with a diameter of 80 cm, the area of ​​land needed to make a pool is ??

The diameter of a circular pool, d = 80 cm

It means that,

Radius, r = d/2

r = 40 cm

We need to find the area of the land needed to make a pool. The area of a circular path is given by :

\(A=\pi r^2\)

Put the values in the above formula.

\(A=3.14\times (40)^2\\\\A=5024\ cm^2\)

So, it will require \(5024\ cm^2\) area of land to make a pool.

Answer:

triangle

Step-by-step explanation:

a quadrilateral is a four-sided figure, but a triangle is three-sided, so a triangle isn't a quadrilateral.

Answer:

1.17

Step-by-step explanation:

1.16666666667 ,, i guess you round it off

The function (fg)(x) is the product of the function f(x) and g(x) which is (fg)(x) = 24x² - 16x.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout calculation and are essential for the development of significant links.

The two functions are given below.

f(x) = 8x

g(x)= 3x - 2

The function (fg)(x) is calculated as,

(fg)(x) = f(x) · g(x)

(fg)(x) = (8x) × (3x - 2)

(fg)(x) = 24x² - 16x

The function (fg)(x) is the product of the function f(x) and g(x) which is (fg)(x) = 24x² - 16x.

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To calculate the molecular weight of a gas with a density of 1.524 g/l at STP, we can use the ideal gas law: PV = nRT. At STP, the pressure (P) is 1 atm, the volume (V) is 22.4 L/mol, and the temperature (T) is 273 K. The molecular weight of the gas with a density of 1.524 g/L at STP is approximately 32.0 g/mol.

Rearranging the equation, we get n = PV/RT.

Next, we can calculate the number of moles (n) of the gas using the given density of 1.524 g/l. We know that 1 mole of any gas at STP occupies 22.4 L, so the density can be converted to mass by multiplying by the molar mass (M) and dividing by the volume: density = (M*n)/V. Rearranging the equation, we get M = (density * V) / n.

Substituting the given values, we get n = (1 atm * 22.4 L/mol) / (0.0821 L*atm/mol*K * 273 K) = 1 mol. Then, M = (1.524 g/L * 22.4 L/mol) / 1 mol = 34.10 g/mol. Therefore, the molecular weight of the gas is 34.10 g/mol.

To calculate the molecular weight of a gas with a density of 1.524 g/L at STP, you can follow these steps:

1. Recall the ideal gas equation: PV = nRT

2. At STP (Standard Temperature and Pressure), the temperature (T) is 273.15 K and the pressure (P) is 1 atm (101.325 kPa).

3. Convert the density (given as 1.524 g/L) to mass per volume (m/V) by dividing it by the molar volume at STP (22.4 L/mol). This will give you the number of moles (n) per volume (V):

  n/V = (1.524 g/L) / (22.4 L/mol)

4. Calculate the molar mass (M) of the gas using the rearranged ideal gas equation, where R is the gas constant (8.314 J/mol K):

  M = (n/V) * (RT/P)

5. Substitute the values and solve for M:

  M = (1.524 g/L / 22.4 L/mol) * ((8.314 J/mol K * 273.15 K) / 101325 Pa)

6. Calculate the molecular weight of the gas:

  M ≈ 32.0 g/mol

Therefore, the molecular weight of the gas with a density of 1.524 g/L at STP is approximately 32.0 g/mol.

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Answer:

\(k<1, k>5\)

Step-by-step explanation:

\(3x+1=x^2+kx+2 \\ \\ x^2+x(k-3)+1=0 \\ \\ \Delta>0 \implies (k-3)^2-4(1)(1)>0 \\ \\ (k-3)^2-2^2>0 \\ \\ (k-1)(k-5)>0 \\ \\ k<1, k>5\)

Answer:

0.0027 = 0.27% probability that the sample mean of non-interscholastics is greater than the sample mean of interscholastic athletes

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution, the central limit theorem, and subtraction of normal variables.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

At a large state university, the heights of male students who are interscholastic athletes is approximately Normally distributed with a mean of 74.3 inches and a standard deviation of 3.5 inches. Sample of 10:

This means that \(\mu_I = 74.3, s_I = \frac{3.5}{\sqrt{10}}\)

Those who are "non-interscholastics" have mean of 70.3 inches and a standard deviation of 3.2 inches. Sample of 12.

This means that \(\mu_N = 70.3, s_N = \frac{3.2}{\sqrt{12}}\)

What is the probability that the sample mean of non-interscholastics is greater than the sample mean of interscholastic athletes?

This is the probability that:

N - I > 0

Distribution N - I:

\(\mu = \mu_N - \mu_I = 70.3 - 74.3 = -4\)

\(s = \sqrt{s_I^2+s_N^2} = \sqrt{(\frac{3.5}{\sqrt{10}})^2+(\frac{3.2}{\sqrt{12}})^2} = 1.44\)

Probability:

One subtracted by the p-value of Z when X = 0.

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{0 - (-4)}{1.44}\)

\(Z = 2.78\)

\(Z = 2.78\) has a p-value of 0.9973

1 - 0.9973 = 0.0027

0.0027 = 0.27% probability that the sample mean of non-interscholastics is greater than the sample mean of interscholastic athletes

The probability for the sample mean of non-interscholastics is greater than the sample mean of interscholastic athletes in state university is 0.0027.

Normally distributed data is the distribution of probability which is symmetric about the mean.

The mean of the data is the average value of the given data. The standard deviation of the data is the half of the difference of the highest value and mean of the data set.

For the above data, the value of mean would be

\(m=70.3-74.3\\m=-4\)

The selected sample size are 10 interscholastic athletes and 12 non-interscholastics. The value of standard deviation is,

\(\sigma=\sqrt{(\dfrac{3.5}{\sqrt{10}})^2+(\dfrac{3.2}{\sqrt{10}})^2}\\\sigma=1.44\)

The Z score can be find out using the following formula.

\(Z=\dfrac{X-\mu}{\sigma}\\Z=\dfrac{0-(-4)}{1.44}\\Z=2.78\)

The z score of 2.78 has the p value equal to 0.9973. For sample mean of non-interscholastics to be greater, the probability,

\(P=1-0.9973\\P=0.0027\)

Thus, the probability for the sample mean of non-interscholastics is greater than the sample mean of interscholastic athletes in state university is 0.0027.



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Answer:

Example :

A soccer team played 8 games and won 3.What is the ratio of the number of wins to the number of games played?

Step-by-step explanation:

Hope this helps!!! :)))

Answer: You're in an advanced Math Class. 3 of them are girls and 8 of them are boys.

Step-by-step explanation: The ratio of kids from girls to boys is 3:8

Answer:

825km

Step-by-step explanation:

150km/h= distance/11/2 hours

150km/h divide by 11/2 hours

=825km

Answer:

825km

Step-by-step explanation:

We have the rule: speed=distance/time

in this question you are asked to calculate the distance covered by the machine boat.

so we deduce from the above rule: distance=speed*time

Given: speed=150km/hr    time=5.5hr   distance=??

Solution: distance=150x5.5 = 825km

Answer:

at least 5?

Step-by-step explanation:

Answer:

x=62

Step-by-step explanation:

This is a straight angle so they have to add up to 180.

124+x-6=180

118+x=180

x=180-118

x=62

Answer:

62

Step-by-step explanation:

124 + (x - 6) = 180

118 + x = 180

x = 62

The probability that fewer than 70 out of 400 households are watching the series, use =BINOM.DIST(69,400,0.2,TRUE) in Excel.

To solve this problem using Excel, you can utilize the binomial distribution function. The binomial distribution calculates the probability of obtaining a certain number of successes in a fixed number of trials, given a specific probability of success.

In this case, the probability of a household watching the series on a regular basis is 20%, or 0.2. You want to find the probability that fewer than 70 households out of 400 are watching the series regularly.

To calculate this probability in Excel, you can use the following formula:

=BINOM.DIST(69,400,0.2,TRUE)

Here's how the formula works:

The number 69 represents the maximum number of successes (households watching the series) you want to calculate the probability for (fewer than 70).

The number 400 represents the total number of trials (randomly selected households).

The number 0.2 represents the probability of success (probability of a household watching the series on a regular basis).

TRUE as the fourth argument specifies that you want to calculate the cumulative probability of getting fewer than 70 successes.

By entering this formula in an Excel cell, you will obtain the probability rounded to four decimal places.

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Answer: To match the shapes produced by the slice through the triangular prism, we need to consider the orientation of the slice relative to the prism. Here are the matching options:

A. Perpendicular to the base: Rectangle

B. Parallel to the base: Triangle with dimensions equal to the base

C. Diagonal from vertex to vertex: Triangle with unknown dimensions

The model represents the exponential growth.

What is exponential ?

Exponential is also a mathematical term, meaning "involving an exponent." When you raise a number to the tenth power, for example, that's an exponential increase in that number.

a ) The model represents the exponential growth.

b ) The annual percentage increase in the value of the coin is 106%.

c ) The original value of the coin is; 0.25$.

d ) The value of the coin would be $0.60 when the time, t is; 15 years.

Have given,

The value of coin = $0.60 that's mean y = 0.60,

\(y = 0.25 * (1.06)^{t}\)

\((1.06)^{t} = 2.4\)

t = 15.03 years

The model represents the exponential growth.

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Answer:

if it's me I would pick etherbc are d I holp it helps

A. X and Y might be independent. Knowing the value of one independent variable tells us nothing about the value of the other independent variable. The mean and variance of X and Y being different does not necessarily mean that knowing the value of one tells us nothing about the other.

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Answer:

i think the answer is A or D i think