Every kid in fifth grade has to do 267 homework assignments for the entire school year. There are 191 students in the fifth grade. How many total homework assignments are there for all the students?

I NEED HELP!!!!!!!!

Check the picture below.

\(\cfrac{1}{6}+\cfrac{1}{4}\implies \cfrac{(2)1+(3)1}{\underset{\textit{using this LCD}}{12}}\implies \cfrac{5}{12}~\hfill {\Large \begin{array}{llll} > \end{array}} ~\hfill \cfrac{1}{6}+\cfrac{1}{6}\implies \cfrac{2}{6}\implies \cfrac{1}{3}\)

notice, 1/4 is really larger than 1/6 of the same whole.

To determine whether there is a decrease in voter support for the candidate after the scandal, we can test the hypothesis using the proportions of the two polls. The first poll showed 54% support among 630 randomly selected voters, while the second poll showed 51% support among 1010 voters. By conducting a hypothesis test, we can determine if the difference in proportions is statistically significant.

To test the hypothesis, we can use the two-sample z-test for proportions. The null hypothesis (H0) assumes no difference in voter support, while the alternative hypothesis (H1) assumes a decrease in support. We can calculate the test statistic using the formula:

z = (p1 - p2) / √[(p(1 - p) / n1) + (p(1 - p) / n2)]

where p1 and p2 are the proportions from the two samples, and n1 and n2 are the respective sample sizes. p is the pooled proportion, calculated as (x1 + x2) / (n1 + n2), where x1 and x2 are the respective number of successes (votes for the candidate) in each sample.

By calculating the z-value, we can compare it to the critical value for the desired significance level (e.g., α = 0.05). If the z-value exceeds the critical value, we reject the null hypothesis in favor of the alternative hypothesis, indicating a statistically significant decrease in voter support.

After performing the calculations, if the z-value exceeds the critical value, we can conclude that there is evidence to support the claim of a decrease in voter support for the candidate after the scandal. Conversely, if the z-value does not exceed the critical value, we fail to reject the null hypothesis, suggesting that there is insufficient evidence to conclude a significant decrease in support.

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About 3 full cones of water are needed to be added to the cylinder to completely fill it.

The radius of the right circular cone is 3cm and the slant height is 5 cm.

The height of the cone can be found as,

H = √(5)²- (3)²

H = 4cm

The volume of the cone is given by,

V = πR²H/3

R is the radius and H is the height of the cone,

Putting values,

v = π x 5 x 5 x 4/3

v = 104.71 cm³

Now, the height h of cylinder is given to be 6 cm and the radius r of the cylinder is 4cm.

The volume of the cylinder is given as,

V = πr²h

V = π x 4 x 4 x 6

V = 301.59

Let us assume that we have to add n full cones of water to completely fill the cylinder, so, we can write,

nv = V

Putting values,

n104.71 = 301.59

n = 2.85

So, we have to add roughly three full cones of water to completely fill the cylinder.

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Answer:

i think its 7 units but im not completely sure

Step-by-step explanation:

The interquartile range (IQR) for the worker's weekly earnings is 15 dollars.

To calculate the interquartile range (IQR) from the given stem-and-leaf plot, we need to obtain the 25th and 75th percentiles.

From the stem-and-leaf plot, we can observe the following data points for the worker's weekly earnings:

10, 10, 10, 10, 11, 12, 15, 16, 20, 20, 21, 25, 26, 28, 36, 38

Step 1: Arrange the data in ascending order:

10, 10, 10, 10, 11, 12, 15, 16, 20, 20, 21, 25, 26, 28, 36, 38

Step 2: Find the position of the 25th percentile:

n = 16 (number of data points)

Position = (25/100) * n = (25/100) * 16 = 4

The 25th percentile falls between the 4th and 5th data points, which are both 10.

Step 3: Obtain the position of the 75th percentile:

Position = (75/100) * n = (75/100) * 16 = 12

The 75th percentile falls between the 12th and 13th data points, which are both 25.

Step 4: Calculate the IQR:

IQR = 75th percentile - 25th percentile = 25 - 10 = 15

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The solution of the given expression k/k+1 + k/k-2 = 2 is,

x = - 4.

The given expression is,

k/k+1 + k/k-2 = 2

To solve it multiplying and divide 1st term by (k-2) and second term by (k+1)

We get,

k(k-2)/(k+1)(k-2)  + k(k+1)/(k+1)(k-2) = 2

We can write it as,

⇒ (k(k-2) +  k(k+1))/(k+1)(k-2)  = 2

⇒ k² - 2k +  k² + k = 2(k+1)(k-2)

⇒ 2k² - k = 2( k² - 2k + k - 2)

⇒ 2k² - k = 2k² - 2k - 4

⇒  k = -4

Hence the solution of the given expression is x = - 4.

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Step-by-step explanation:

Examples of like terms in math are x, 4x, -2x, and 7x. These are like terms because they all contain the same variable, x. The terms 8y2, y2, and -2y2 are like terms as well. These all contain the same variable, y, raised to the second power.

Answer:

9:15

girls : boys

Step-by-step explanation:

Answer:

9:15

Or 3:5 when reduced

Step-by-step explanation:

Answer:

If the maximum of function r(x) and t(x) occur at the same point c in domain P = max(r(x)+t(x)) = M+N

In general P  ≤  M+N

Step-by-step explanation:

If the maximum of function r(x) and t(x) occur at the same point c in domain then M=r(c) and N=t(c) So in this case P = max(r(x)+t(x)) = M+N

In general P  ≤  M+N

by definition of maximum  

r(x)≤M,t(x)≤N   for all x in domain

=>  r(x)+t(x)≤M+N   for all x in domain

=> max(r(x)+t(x)) <= M+N

=> P  ≤  M+N

Thus we get in general the relationship is P  ≤  M+N

The solution to this problem is 5/2a^2b^5

The slope of the line will be negative.

Option D is true.

What is Equation of line?

The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope 'm' is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The line is shown on the graph.

Two points on the graph are (- 3, 1) and (1 , -3).

Now,

Since, Slope of line with two points (x₁ , y₁) and (x₂, y₂) is defined as;

⇒ m = (y₂ - y₁) / (x₂ - x₁)

Hence, Slope of line with two points (- 3, 1) and (1 , -3) is;

⇒ m = (y₂ - y₁) / (x₂ - x₁)

⇒ m = (- 3 - 1) / (1 - (-3))

⇒ m = - 4 / 4

⇒ m = - 1

Thus, The slope of the line will be negative.

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Answer:

39 cm ²

Step-by-step explanation:

Answer:

I'm slow. I think so because remember y=mx+b

b is the y intercept and the mx is the slope which is x.

So 4x is the slope which is the x, and 2 is the y intercept.

Step-by-step explanation:

correct me anyone if im wrong

The value of x in the given inequality 6x ≤ 18, is S:3 out of all the given options.

The correct answer is S:3.

To solve for x, we divide both sides of the inequality by 6. When dividing by a negative number, we flip the direction of the inequality sign. This gives us x ≤ 3.

Therefore, the possible values of x are 3, 2, 1, 0, and so on. The answer can not be 26, 14, or 7, because those values would make x greater than 3.

Here is the solution in steps:

6x ≤ 18

6x/6 ≤ 18/6 (divide both sides by 6)

x ≤ 3

Therefore, the value of x is 3.

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The value of dz/dt at (x,y) =(0,1) is 2 .

The rule applied for finding the derivative of the composite function (e.g. cos 2x, log 2x, etc.) is basically known as the chain rule. It is also called the composite function rule. The chain rule is applicable only for composite functions.

Now, The question is:

\(z^4=x^3+y^2\)

To find dz/dt at (x, y) = (0, 1), we need to first differentiate z⁴ = x³ + y² with respect to t. Using the chain rule, we get:

dz/dt = d(x³)/dt + d(y²)/dt

dz/dt = 3x²(dx/dt) + 2y(dy/dt)

Now, plug the values for dx/dt, dy/dt, x, and y:

dz/dt = 3(0)²(-3) + 2(1)(1) = 0 - 6 = -6

So, dz/dt at (x, y) = (0, 1) is -6.

To find dz/dt at (x,y)=(0,1).

To find the partial derivatives of z with respect to x and y:

∂z/∂x = 3x²

∂z/∂y = 2y

Then, we can use the chain rule to find dz/dt:

dz/dt = (∂z/∂x) (dx/dt) + (∂z/∂y) (dy/dt)

Substituting in the values, we get:

dz/dt = (3(0)²)(-3) + (2(1))(1) = 2

Therefore, dz/dt at (x,y)=(0,1) is 2.

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Accupunture is best these days for medication and health therapy.

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Answer:

1

Step-by-step explanation:

The cylinder should make approximately 0.3097 revolutions per second in order for the clothes to lose contact with the wall at an angle of 54.0°.

To determine the required number of revolutions per second for the cylinder in order for the clothes to lose contact with the wall at a specific angle, we can use the concept of centripetal acceleration.

The centripetal acceleration experienced by an object moving in a circular path of radius r at a speed v is given by the formula:

\(a = v^2 / r\)

In this case, when the clothes lose contact with the wall, the net force acting on them is the gravitational force pulling them downward, which can be expressed as:

mg = m * g

Since the gravitational force provides the centripetal force for the clothes, we can equate the centripetal acceleration to the gravitational acceleration:

v^2 / r = g

To solve for the speed v, we need to find the circumference of the circular path. The circumference C can be calculated as:

C = 2πr

Substituting this into the equation above, we have:

v^2 / (2πr) = g

Now, we need to find the required speed v when the clothes lose contact with the wall at an angle of θ = 54.0°. We can use the angle θ to find the arc length traveled by the clothes on the circular path.

The arc length s can be calculated as:

s = θ * r

Substituting the given values, we have:

s = (54.0°) * (0.512 m)

Next, we can calculate the time it takes for the clothes to traverse the arc length s at the required speed v. The time t can be calculated as:

t = s / v

Now, since we want to find the number of revolutions per second, we need to convert the time t into seconds per revolution (s/rev). Since each revolution covers the circumference C, the time for one revolution is:

t_rev = C / v

Finally, the number of revolutions per second is given by the reciprocal of the time for one revolution:

Rev/s = 1 / t_rev

Let's calculate the required number of revolutions per second using the given values. Assuming the acceleration due to gravity is approximately 9.8 m/s²:

r = 0.512 m (radius)

θ = 54.0° (angle)

g = 9.8 m/s² (acceleration due to gravity)

First, calculate the arc length s:

s = (54.0°) * (0.512 m) = 27.648 m

Next, calculate the required speed v using the centripetal acceleration equation:

v^2 / (2πr) = g

v^2 / (2π * 0.512 m) = 9.8 m/s²

v^2 = (2π * 0.512 m) * (9.8 m/s²)

v^2 = 10.0384 m²/s²

v ≈ 3.1687 m/s

Now, calculate the time for one revolution:

t_rev = (2π * 0.512 m) / (3.1687 m/s) ≈ 3.2321 s/rev

Finally, calculate the number of revolutions per second:

Rev/s = 1 / (3.2321 s/rev) ≈ 0.3097 rev/s

Therefore, the cylinder should make approximately 0.3097 revolutions per second in order for the clothes to lose contact with the wall at an angle of 54.0°.

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Answer:

2 hours and 24 minutes.

Lowest score earned to be qualified for an interview is 92.82

X : Marks scored in interview

X ~ N(80,100)

Here we need to find x such that P(X > x) = 0.10

using standard normal table,

we get P( z > 1.282) = 0.10

It's always easy to use Standard normal distribution to solve questions of normal distribution because standard normal is special case of normal distribution with mean 0 and standard deviation 1.

To convert x (which follows Normal distribution) to standard normal use: \(\frac{x-\mu}{\sigma} \sim N(0,1)\)

so, \(z = 1.282 = \frac{x-\mu}{\sigma}\)

hence,

\(x = 1.282 * \sigma + \mu \\x = 1.282 * 10+_80 \\x = 92.82 \\\)

Hence Lowest score earned to be qualified for an interview is 92.82

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Answer:

no

Step-by-step explanation:

Answer:

3.14159 26535 89793 23846 26433 83279 50288 41971 69399 37510 58209 74944 59230 78164 06286 20899 86280 34825 34211 70679 82148 08651 32823 06647 09384 46095 50582 23172 53594 08128 48111 74502 84102 70193

After four hours, the height of the candles will be the same.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

A red candle has an 8-inch height and burns at a 7/10-inch per hour rate. A 6-inch tall blue candle burns at a rate of 1/5 inch per hour.

Let x be the number of hours and y be the height.

y = -0.70x + 8           ...1

y = -0.20x + 6             ...2

From equations 1 and 2, then we have

- 0.20x + 6 = - 0.70x + 8

(0.70 - 0.20)x = 8 - 6

0.50x = 2

x = 4 hours

After four hours, the height of the candles will be the same.

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the answer is 20 hope it helped :)

  Among the given options (A, B, C, D), the correct population regression model when k = 2 is option D: Y = β0 + β1X1 + β2X2 + e.

In a population regression model, we are interested in modeling the relationship between a dependent variable (Y) and one or more independent variables (X1, X2, etc.). The model equation consists of the regression coefficients (β0, β1, β2, etc.) that represent the effect of each independent variable on the dependent variable, and the error term (e) that captures the unexplained variation in the data.
Among the given options, only option D includes all the necessary components of a population regression model with two independent variables (k = 2). It includes the dependent variable Y, the regression coefficients β0, β1, and β2 for the independent variables X1 and X2, respectively, and the error term e.
Options A, B, and C are incorrect because they either omit the error term or have an incomplete equation. The error term is crucial in accounting for the unobserved factors and random variation in the relationship between the variables.
Therefore, the correct population regression model when k = 2 is option D: Y = β0 + β1X1 + β2X2 + e.

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Answer:

 -2

Step-by-step explanation:

Answer:

80 cups

Hope that helps! :)

The labor efficiency variance for the month can be calculated by comparing the standard labor hours allowed for the actual output to the actual labor hours worked. The labor efficiency variance for the month is 1,780 hours.

The labor efficiency variance is a measure of the efficiency of labor utilization in the production process. It reflects the difference between the standard labor hours allowed for the actual output and the actual labor hours worked. To calculate the labor efficiency variance, we need to determine the standard labor hours allowed for the actual output and subtract the actual labor hours worked.

In this case, the standard labor hours per unit of output is given as 8.4 hours, and the actual output for the month is 950 units. Therefore, the standard labor hours allowed for the actual output would be 8.4 hours/unit * 950 units = 7,980 hours.

The actual labor hours worked are given as 6,200 hours. To calculate the labor efficiency variance, we subtract the actual labor hours worked from the standard labor hours allowed for the actual output:

Labor Efficiency Variance = Standard labor hours allowed - Actual labor hours worked

= 7,980 hours - 6,200 hours

= 1,780 hours

The labor efficiency variance for the month is 1,780 hours. This indicates that the actual labor hours used were less than the standard labor hours allowed for the actual output, suggesting an efficiency gain in labor utilization.

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