the angle between the minute hand and the hour hand of a clock is between 30 degree and 60 degree. what could be the time in the clock. A: 4:20 B. 8:40 C. 10:45 D. 12:15


please answer asap

1.1 The relationship between sampling distribution and confidence interval is that the sampling distribution helps us understand the distribution of sample statistics (such as the sample mean or proportion) when repeatedly sampling from a population.

The confidence interval, on the other hand, provides a range of values within which we can be confident that the true population parameter lies based on the sample data.

In other words, the sampling distribution gives us information about the variability and distribution of sample statistics, while the confidence interval uses this information to estimate the range of likely values for the population parameter.

1.2 To calculate the probability that the sample mean is between 9.0 and 11.0, we need to standardize the values using the z-score formula and then look up the corresponding probabilities from the standard normal distribution.

First, calculate the z-scores:

z1 = (9.0 - 10) / (3 / √40) = -1.8257

z2 = (11.0 - 10) / (3 / √40) = 1.8257

Next, look up the probabilities associated with these z-scores using a standard normal distribution table or a calculator. The probability that the sample mean is between 9.0 and 11.0 can be calculated as the difference between the two probabilities:

P(9.0 < x < 11.0) = P(z1 < Z < z2)

1.3 (a) To calculate the probability that the percentage of voters who support the candidate is between 40% and 45% in a sample of 200 voters, we can use the sampling distribution of sample proportions. Assuming the sample proportion follows a normal distribution, we can standardize the values using the z-score formula and then calculate the corresponding probabilities.

First, calculate the z-scores:

z1 = (0.40 - 0.40) / √[(0.40 * (1 - 0.40)) / 200] = 0

z2 = (0.45 - 0.40) / √[(0.40 * (1 - 0.40)) / 200]

Next, look up the probabilities associated with these z-scores using a standard normal distribution table or a calculator. The probability that the percentage of voters who support the candidate is between 40% and 45% can be calculated as the difference between the two probabilities:

P(40% < p < 45%) = P(z1 < Z < z2)

(b) To calculate the probability that the percentage of voters who support the candidate is more than 50%, we can again use the sampling distribution of sample proportions. We standardize the value using the z-score formula and calculate the corresponding probability.

Calculate the z-score:

z = (0.50 - 0.40) / √[(0.40 * (1 - 0.40)) / 200]

Look up the probability associated with this z-score using a standard normal distribution table or a calculator. The probability that the percentage of voters who support the candidate is more than 50% can be calculated as:

P(p > 50%) = P(Z > z)

1.4 To determine the 95% confidence interval for the true mean resistance, we can use the formula:

Confidence Interval = sample mean ± (critical value * standard error)

First, calculate the standard error:

Standard Error = population standard deviation / √(sample size)

              = 0.35 / √10

Next, find the critical value corresponding to a 95% confidence level from a t-distribution table with 9 degrees of freedom (n-1). The critical value for a 95% confidence level is approximately 2.

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Answer:

1.2Litres

Question:

Wes mixed different juices to make fruit punch. He filled one-half of the punch bowl with orange juice. Then he filled half of the remaining space with grape juice. Finally, he filled the rest of the punch bowl with 300 mL300\text{ mL}300 mL300, space, m, L of cherry juice. How many liters of fruit punch did Wes make?

Step-by-step explanation:

Let the total punch bowl be = P

Portion of Orange juice = ½ of total punch bowl

= ½ × P = P/2

Portion of grape = ½ of the remaining space

Remaining space = P - P/2 = P/2

Portion of grape = ½ × P/2 = P/4

The rest of the punch bowl is for cherry = 300mL

P/2 - P/4 = 300

(2P - P)/4 = 300

P/4 = 300

P = 300×4

P = 1200mL

1mL = 10^(-3)L

P = 1.2 ×10³ × 10^(-3)L

P = 1.2L

Wes made 1.2liters of fruit punch.

Answer:$917.58.

Step-by-step explanation:

The formula for compound interest is A = P(1 + r/n)^(nt) where A is the final amount, P is the principal (initial deposit), r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years.

In this case, the initial deposit is $500, the annual interest rate is 4%, the number of times compounded per year is 12 (monthly), and the number of years is 12.

So, we can plug in the values into the formula:

A = $500(1 + 0.04/12)^(12*12) = $500(1.003333333)^(144) = $500(1.835170816) = $917.585

The final amount in her account after 12 years is $917.58

To round to the nearest cent, we can use the following method:

If the digit in the thousandths place is less than 5, we keep the hundredths digit as is.

If the digit in the thousandths place is greater than 5, we round up the hundredths digit.

In this case the digit in the thousandths is 5 so, we have to round up the hundredths digit of $917.58.

So, the final amount in her account after 12 years is $917.59.

Answer: $800.516

Step-by-step explanation:

We use the equation

A = P(1 + )^nt

P = principal

r = rate of interest

t = times

Now let's solve

P = $500

r = 4% = 0.04

t = 12 years

A = $500(1 +\(\frac{0.04}{12}\) ) ^12 = $800.516

Answer:

72

Step-by-step explanation:

The area of a kite is half the product (multiplication) of the diagonals.

Each diagonal has length 12, so A = (1/2)(12)(12) = (1/2)(144) = 72.

Note:  You can also find the area by finding the areas of the 4 right triangles.  By the way, the diagonals are perpendicular, so all 4 triangles are right triangles.

Area of a small triangle:  Area = (1/2)(base)(height)  A = (1/2)(2)(6) = 6.

Area of a larger triangle:  A = (1/2)(10)(6) = 30

Total area: 2 small triangles plus 2 larger triangles A = 2(6) + 2(30) = 72

The equation in standard form that models the number of possible t-shirts and shorts you can buy is; 4.5x + 6y = 108

The graph of the function is as attached

A linear equation is defined as an equation whereby the highest power of the variable is always 1.

We are told that the cost of each T-shirt is $4.50 while each short costs $6. Thus, if he has enough money for 12 t-shirts and 9 pairs of shorts, it means that;

Total amount he has = 12(4.5) + 9(6) = $108

Now, if the amount of t-shirts he can possibly buy is x and the amount of pairs of shorts he can possibly buy is y. Thus, the linear equation is;

4.5x + 6y = 108

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\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$1230\\ r=rate\to 3.19\%\to \frac{3.19}{100}\dotfill &0.0319\\ t=years\dotfill &3 \end{cases} \\\\\\ A = 1230[1+(0.0319)(3)] \implies \stackrel{balance}{\boxed{A \approx 1347.71}}~\hfill \underset{interest}{\stackrel{1347.71~~ - ~~1230}{\boxed{117.71}}}\)

Answer:

its blarred, but in generally take the sum 90 and solve it

Answer:

y = \(\frac{3}{3}\)x - 5

y = 2x + 5

Step-by-step explanation:

In linear equations, both variables x and y must have the exponent of 1 (i.e. they cannot have a small number at the top-right). And they cannot be in the exponents (i.e. cannot be the small number at the top-right).

False. The margin of error only accounts for sampling variability (the fact that my sample will be different that many other people's and therefore provide different statistics.

Statistics is a technique for interpreting, analyzing, and summarizing data in mathematics. In light of these characteristics, the various statistical types are divided into: Statistics that are descriptive and inferential. We analyze and understand data based on how it is presented, such as through graphs, bar graphs, or tables.

Inferential statistics, which draws conclusions from information using statistical tests like the student's t-test, is one of the two main statistical methods used in data analysis. Descriptive statistics presents data using indices like mean and median.

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Answer:

x-intercept = 9/5 = 1.80000

 y-intercept = 9/3 = 3

Step-by-step explanation:

x-intercept = 9/1 = 9.00000

 y-intercept = -9/3 = -3

The probability of the event that a person first clicks on the advertisement the 8th time it appears is approximately 0.0177 (rounded to the nearest hundredth).

To find the probability that a person first clicks on the advertisement the 8th time it appears (vvv = 8), we can use the geometric probability formula:

\(P(X = k) = (1 - p)^{(k-1)}* p\)

where:

P(X = k) is the probability of the event occurring on the kth trial,

p is the probability of success (clicking on the advertisement) on a single trial, which is 2% or 0.02 in decimal form,

k is the number of trials (number of times the advertisement appears) until the first success (first click).

In this case, k = 8 (the 8th time the advertisement appears) and p = 0.02.

\(P(X = 8) = (1 - 0.02)^{(8-1)} * 0.02\\P(X = 8) = (0.98)^7 * 0.02\)

P(X = 8) ≈ 0.0177

So, the probability of the event that a person first clicks on the advertisement the 8th time it appears is approximately 0.0177 (rounded to the nearest hundredth).

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Given the coordinates above, the area of the trapezoid is approximately 41. See the explanation below.

A trapezoid is a quadrilateral with at least one set of parallel sides in American and Canadian English. A trapezoid is known as a trapezium in British and other varieties of English.

For the calculation showing the above solution:

Step 1 - Given:

A = (-3,2)

B = (1, 5)  = ⊥

C = (-7, -3)

D = (0.-2)

Step 2 - To get the distance between the points we need to use the formula for Distance between two points which is given as:

d=√((x2 – x1)² + (y2 – y1)²).

Distance of Line AB =

√((1 – (-3))² + (5 – 2)²).

= √[(4)² + (3)²]

= √( 16 + 9)
= √25

AB= 5

Repeat this for  BC, CD, DA and we'd get the following

BC =  11.313708498985
CD = 7.0710678118655

DA = 5

Step 3  - From the above structure, [see attached] we then apply the formula for the area of a Trapezoid (Trapezium) which is given as:

A = [(a+b)/2] h

Where a = 5

b = 11.313708498985

h = 5

=  [(5+11.313708498985)/2] 5

= 40.7842712475

\(\approx\) 41

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Answer:

\((5 x 10⁶)× (5 x 10⁷) \)

\(5000000×50,000,000\)

\(25000000000000\)

Step-by-step explanation:

Thanks!!!!!!

Answer:

2.5 * 10^14

Step-by-step explanation:

(5 x 10⁶) *  (5 x 10⁷)

= (5 * 1000000) * (5*10000000)   Step 1

tip : When multiplying tens with exponents, consider adding zeros according to the exponent the 10 is raised to. For example, 10⁶ would be 1000000 (six zeros)

= (5000000) * (50000000)  Step 2

= 250000000000000. Step 3

= 2.5 * 10^14    Step 4  move your decimal point to the left (14 times) until you you condense your value into a smaller decimal (2.5)

The first derivative of the polynomial f(x, y) = 2x^2 + 3xy + 4 with respect to x is [4 3y 0]. The second derivative of f(x, y) with respect to y is [0 3x 0].

The first derivative of f(x, y) with respect to x is obtained by differentiating each term of the polynomial with respect to x. The derivative of 2x^2 is 4x, the derivative of 3xy with respect to x is 3y, and the derivative of the constant term 4 is 0. Therefore, the first derivative is [4 3y 0].

The second derivative of f(x, y) with respect to y is obtained by differentiating each term of the first derivative with respect to y. Since the derivative of 4x with respect to y is 0, and the derivative of 3y with respect to y is 3x, the second derivative is [0 3x 0].

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1/7 of the animals in the zoo are male monkeys.

To find the fraction of animals in the zoo that are male monkeys, we have to calculate the product of the fractions representing the proportion of monkeys and the proportion of male monkeys among them.

Given that 1/5 of the animals in the zoo are monkeys, we will then represent this as:

= 1/5

= 5/25.

And 5/7 of the monkeys are male which is written as 5/7.

To get fraction of male monkeys, we will multiply these two fractions:

= (5/25) * (5/7)

= 25/175

= 1/7.

Full question:

1/5 of the animals in the zoo are monkeys 5/7 of the monkeys are male. What fraction of the animals in the zoo are male monkeys?

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Given:

The expression is

\(x+4x-3+3x^2-2x\)

To find:

The value of given expression when x=5.

Solution:

We have,

\(x+4x-3+3x^2-2x\)

Substituting x=5 in the above expression, we get

\(=(5)+4(5)-3+3(5)^2-2(5)\)

\(=5+20-3+3(25)-10\)

\(=5+20-3+75-10\)

On further simplification, we get

\(=(5+20+75)+(-3-10)\)

\(=100+(-13)\)

\(=100-13\)

\(=87\)

Therefore, values of the given expression at x=5 is 87.

The correct answer is D: Max (Peak Memory BW x Arithmetic Intensity, Peak Floating-Point Performance).

1a. C: 101 to calculate the speedup, we need to consider the computing load distribution among the processors. In this case, 10 processors carry 20% of the load, which means each of these processors handles 2% of the load. The remaining 90 processors share the rest of the load evenly, so each processor among these 90 handles (100% - 20%) / 90 = 0.8889% of the load.

The speedup can be calculated using Amdahl's Law, which states that the speedup is limited by the portion of the program that cannot be parallelized. In this case, the matrix subtraction is fully parallelizable, so the only portion that cannot be parallelized is the sum of the scalar variables.

The speedup formula is given by: Speedup = 1 / [(1 - p) + (p / n)], where p is the portion that can be parallelized and n is the number of processors.

In this case, p = 0.02 (for the 10 processors) and n = 100. Substituting these values into the formula, we get: Speedup = 1 / [(1 - 0.02) + (0.02 / 100)] = 1 / 0.99 = 1.0101.

Therefore, the correct answer is C: 101.

1b. A:

mul.d $v1, $v0, $f1

add.d $v3, $v1, $v2

The code snippet performs the DAXPY operation, which multiplies a scalar value (a) with a vector (x) and adds the result to another vector (y). The blank instructions should be filled with the above choices.

1c. C: In fine-grained multithreading, switching between threads happens after every instruction.

In fine-grained multithreading, switching between threads happens after every instruction, which is an incorrect statement. Fine-grained multithreading allows switching between threads at a much finer granularity, such as cycle-by-cycle or instruction-by-instruction, to improve resource utilization.

1d. B: Peak Floating-Point Performance

In the roofline model, the attainable GFLOPs/sec is set by the peak floating-point performance of the processor. The roofline model is a performance model that visualizes the performance limitations of a system based on the memory bandwidth and arithmetic intensity of the code. The attainable performance is determined by the lower value between the peak memory bandwidth and the peak floating-point performance. Therefore, the correct answer is B: Peak Floating-Point Performance.

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Solving the quadratic function, it is found that the factors/zeros of the function are given by x = -1.5 and x = 5.

They are given by the solutions of the function, that is, the values of x for which f(x) = 0.

In this problem, the function is given by:

f(x) = -2x² + 7x + 15.

Then:

-2x² + 7x + 15 = 0.

Which is a quadratic function with coefficients a = -2, b = 7, c = 15, hence:

\(\Delta = 7^2 - 4(-2)(15) = 169\)

\(x_1 = \frac{-7 + \sqrt{169}}{2(-2)} = -1.5\)

\(x_2 = \frac{-7 - \sqrt{169}}{2(-2)} = 5\)

The factors/zeros of the function are given by x = -1.5 and x = 5.

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The result is obtained by using the formula for a triangle.

Simply we count the number of grids representing a certain unit.

We have a flag in coordinate system can be seen in the picture.

Each grid represents a foot. Kenna will make five flags.

The flag is a triangle with the base at y-axis.

The base length is 3 ft and the height is 2. The area of the triangle is

Area of a flag = ½ bh

Area of a flag = ½(3)(2)

Area of a flag = 3 ft²

Area of five flags = 5(3 ft)

Area of five flags = 15 ft²

Hence, Kenna will need the material of 3 ft² for one flag and 15 ft² for five flags.

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the critical load of the round wooden dowel is determined by using the Euler buckling formula, which is given by:

P_cr = (π^2 * E * I) / L^2

Where P_cr is the critical load, E is the modulus of elasticity (given as 12 GPa), I is the area moment of inertia (for a round wooden dowel it is π*d^4/64), and L is the length of the dowel (given as 0.75 m). Substituting these values, we get:

P_cr = (π^2 * 12e9 * π*(10/1000)^4/64) / (0.75^2)

P_cr = 91.34 N

Therefore, the critical load of the round wooden dowel is 91.34 N.

In explanation, the Euler buckling formula is used to determine the critical load of slender columns or rods that are subjected to compressive forces. The formula takes into account the modulus of elasticity of the material, the length of the column, and the area moment of inertia of the cross-section. The critical load is the maximum load that the column can withstand without buckling or collapsing under compressive forces.

the critical load of the round wooden dowel with a diameter of 10 mm and a length of 0.75 m is 91.34 N, which is the maximum load that the dowel can withstand without buckling or collapsing under compressive forces.

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The formula for calculating the required sample size to estimate the population mean with a 90% confidence level is given by:

n = ((z_(α/2)×σ) / E)²Here, z_(α/2) is the z-value for the given level of confidence (90% in this case), σ is the population standard deviation (6.8 in this case), and E is the maximum error we can tolerate (0.02 in this case).

Substituting the given values in the formula, we get:

n = ((z_(α/2)×σ) / E)²n = ((1.645×6.8) / 0.02)²n = 1910.96

Rounding up to the nearest whole number, we get the required sample size to be 1911.

Therefore, a sample size of 1911 is required to estimate the population mean with a 90% confidence level and an error of less than 0.02.

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Plot the points into the coordinate system :

2. Reflect QRST at the x-axis :

The original point and the new point is equidistant to the x-axis.

It is like the image is mirrored at the x-axis

The image will be :

3. Rotate QRST 180 degrees at Point O or the origin :

The original point and the new point must be 180 degrees at the origin..

If you will check the degrees of the other points, it will also show a 180 degrees at the origin.

4. Translate QRST -2 units at x-axis and -3 units at y-axis :

5. Reflect QRST at y-axis then translate 3 units to the x-axis :

This is a two part translation.. the first image will be the reflection

and the 2nd image is the translation which is the final position:

Just remember when doing two transformation, you must do it from right to left.

Just like the problem number 5.

Translate first before reflecting.

Answer:

a=2.42, b=2.16

16.94>10

Step-by-step explanation:

We are given: 2a+b =7 and 3a-2b=3 , We need to find how much is 7a greater than 10.

First we need to solve equations to find value of a

\(2a+b =7---eq(1)\\ 3a-2b=3---eq(2)\)

Multiply eq(1) by 2 and add both equations

\(4a+2b =14\\ 3a-2b=3\\------\\7a=17\\a=\frac{17}{7}\\a=2.42\)

Putting value of a in eq(1) to find b

\(2a+b=7\\2(2.42)+b=7\\4.84+b=7\\b=7-4.84\\b=2.16\)

Now, a = 2.42 and b=2.16

Finding by how much is 7a  greater than 10

\(7a>10\)

Putting a = 2.42

\(7a>10\\7(2.42)>10\\16.94>10\)

Answer: 1

Step-by-step explanation:

Answer: Pls brainliest this took forever, but was really fun :)

Step-by-step explanation:

Imagine you are looking at the structure from the front or the side.  What would you see?  If you want a detailed explanation on orthogonal drawings, just ask :)

Answer:

1. none are odd

2. 21,35

3.none

4.none

5.27,81

Answers:

1. None (all even)

2. 21 & 35

3. None (all even)

4. None (all even)

5. 27 & 81

Answer:

226.08 in

Step-by-step explanation:

To find how much water this container can hold, we should find the volume of this container.

Volume of cylinder = πr²h

= 3.14 × 3² × 8           (r= d/2   => 6/2 = 3)

= 226.08 in

Answer:

226.19 in³ or .979 gallons

Step-by-step explanation:

The problem is asking for volume.

First, you must get the radius

d represents diameter

r = d/2

r = 6/2

r = 3

Now, you can calculate for the volume

Volume formula for cylinder

V = πr²h

V = π(3)²(8)

V = 226.19 in³ or .979 gallons