A sample of midterm grade for five students showed the following results: 72.65,82,90,76. Which of the following statements are correct, and which should be challenged as being too Bencralized? (a) The average midterm grade for the sample of frve students is 77 (b) The average midterm grade for all students who took the exam is 77 (c) An estimate of the average midterm grade for all students who took the exam is 77 (d) More than half of the students who take the exam will score between 70 and 85 (e) If frve other students are included in the sample, their grades will be between 65 and 90

Answer:

the valve of the expression would be 184

Step-by-step explanation:

Got it right on edge

Answer:

m = 0.28571428571

or 0.29(to the nearest tenth)

Step-by-step explanation:

First, distribute

12(−1.4m+0.4)=

-16.8m + 4.8 =

Now move the constant to the right.

-16.8m + 4.8 =

-16.8m = -4.8 =

Now divide,

-16.8m = -4.8 =

m = 0.28 or 0.29

Answer:

24.6

Step-by-step explanation:

Answer:

24.6 is the answer

Step-by-step explanation:

always go with the parentheses first

20 + 0.5

= 20.5

20.5 x 1.2

= 24.6

Approximately 89.26% of utility companies have revenue between 41 million and 99 million dollars. We need to use the normal distribution formula and find the z-scores for the given values.

First, we need to find the z-score for the lower limit of the range (41 million dollars):  z = (41 - 70) / 18 = -1.61
Next, we need to find the z-score for the upper limit of the range (99 million dollars): z = (99 - 70) / 18 = 1.61
We can now use a standard normal distribution table or a calculator to find the area under the curve between these two z-scores. The area between -1.61 and 1.61 is approximately 0.9044. This means that approximately 90.44% of utility companies earned revenue between 41 million and 99 million dollars.


To find the percentage of utility companies with revenue between 41 million and 99 million dollars, we can use the z-score formula and the standard normal distribution table. The z-score formula is: (X - mean) / standard deviation. First, we'll calculate the z-scores for both 41 million and 99 million dollars: Z1 = (41 million - 70 million) / 18 million = -29 / 18 ≈ -1.61
Z2 = (99 million - 70 million) / 18 million = 29 / 18 ≈ 1.61
Now, we'll look up the z-scores in the standard normal distribution table to find the corresponding percentage values.
For Z1 = -1.61, the table value is approximately 0.0537, or 5.37%.
For Z2 = 1.61, the table value is approximately 0.9463, or 94.63%.
Percentage = 94.63% - 5.37% = 89.26%

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Answer:

x = -47

Step-by-step explanation:

Hi there!
We are given the equation x + 18 = -29 and we want to solve it for x

To solve these kinds of equations, we want to isolate x on one side of the equation (one side of the equation should ONLY have x on it).
In order to isolate x, we can add, multiply, subtract, or divide the equation by any numbers we choose

In this case, we'll need to get rid of 18 from the left side, so let's subtract 18 from both sides to remove it from the equation

So let's get on with subtracting 18 from both sides:
x + 18 = -29

Subtract 18 from BOTH sides

x+ 18 = -29
-18      -18
_______________

x=-29-18
Subtract 18 from -29

x = -47, which is our solution
Hope this helps!
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To determine the change in angular momentum (ΔL) of a cylinder from t = 0 to t = t0, a student can use the equation:

ΔL = I * Δω

where ΔL is the change in angular momentum, I is the moment of inertia of the cylinder, and Δω is the change in angular velocity.

To calculate Δω, the student needs to know the initial and final angular velocities, ω0 and ωt0, respectively. The change in angular velocity can be calculated as:

Δω = ωt0 - ω0

Once Δω is determined, the student can use the moment of inertia (I) of the cylinder to calculate ΔL using the equation mentioned earlier.

The moment of inertia (I) depends on the mass distribution and shape of the cylinder. For a solid cylinder rotating about its central axis, the moment of inertia is given by:

I = (1/2) * m * r^2

where m is the mass of the cylinder and r is the radius of the cylinder.

By substituting the known values for Δω and I into the equation ΔL = I * Δω, the student can calculate the change in angular momentum (ΔL) of the cylinder from t = 0 to t = t0.

It's important to note that this method assumes that no external torques act on the cylinder during the time interval. If there are external torques involved, the equation for ΔL would need to include those torques as well.

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Answer:

Step-by-step explanation:

Respuesta: B) Kathy comienza cada semana con 108 teléfonos para arreglar.

Explicación: La ecuación P = 108-23d  está diciendo que el número de teléfonos que Kathy le quedan por arreglar al final de cada día se puede calcular con el número de teléfonos que tiene al principio de la semana (108), menos los teléfonos que ha reparado cada día (d), multiplicado por 23. Luego, el significado del valor 108 en esta ecuación es que Kathy comienza cada semana con 108 teléfonos para arreglar.

Answer:

f(x)=3^x

Step-by-step explanation:

assuming the n-1 is the exponent,

f(x)=3^x

the -1 is removed due to a graph starting at 0

Answer:

x = -3

Step-by-step explanation:

3x + 5 = -x - 7

add x to both sides

4x + 5 = - 7

subtract 5 from both sides

4x = - 12

divide 4 from both sides

x = -3

Answer:

Let the numbers be a and a + 2

According to question,

a + a + 2 = 214

=> 2a + 2 = 214

=> 2a = 212

=> a = 106

First number = 106

Second number = 108

Step-by-step explanation:

plz mark me brainliest

Answer:

106, 108

Step-by-step explanation:

even numbers

say n, n+2

n+n+2=214

2n=212

n=212/2=106

even numbers are 106 and 108

Answer:

  about 520,000

Step-by-step explanation:

Following directions, we evaluate the equation by putting the value where the variable is and doing the arithmetic.

__

The value of x will be the number of days between May 26 and May 12. That value is ...

  x = 26 -12 = 14

Then the number of mosquitos is estimated to be ...

  y = 230,000(1.06^14) ≈  520,008

About 520,000 mosquitos will inhabit the city on May 26.

_____

Additional comment

Typically, an "estimate" is one or two significant figures. So, 520,000 is a reasonable estimate. 520,008 has more precsision than can be justified.

Answer:D

Step-by-step explanation:

Answer:

the first or the two

Step-by-step explanation:

Answer:

what's is the answer I need help I'm begging you guys please help me

Answer:

y = ax2 + bx + c

Answer:

y = ax2 + bx + c

Step-by-step explanation:

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the boat will travel 70 kilometers in 3.5 hours when moving at a rate of 20 kilometers per hour.

To calculate the distance traveled by a boat, we can use the formula: Rate x Time = Distance.

In this case, the rate of the boat is 20 km per hour, and the time is 3.5 hours.

Using the formula, we have:

Distance = Rate x Time

Distance = 20 km/h x 3.5 hours

Calculating the result:

Distance = 70 km

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Two students using the same piece of glassware may not have the exact same measurement.

While the same glassware provides a consistent measuring tool, variations in the students' measurement techniques, environmental conditions, and inherent limitations of the glassware can lead to differences in the obtained measurements.

Factors such as parallax errors, variations in reading techniques, and differences in the precision of the measuring instrument can all contribute to variations in measurements.

Additionally, small imperfections in the glassware, such as scratches or irregularities, can affect the accuracy of the measurement. These imperfections may cause slight variations in the volume or capacity being measured.

To minimize discrepancies, it is important for students to follow proper measurement techniques, ensure accurate calibration of the glassware, and consider potential sources of error.

By adhering to standardized procedures and using precise measurement techniques, students can aim to obtain measurements that are as consistent and reliable as possible.

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Answer:

b,c,f

Step-by-step explanation:

i did the assignment

Answer:

Step-by-step explanation:

We have two right-angled triangles that share a common side, with side lengths 6 and 10. Let's label the sides of the triangles as follows:

Triangle 1:

Side adjacent to the right angle: 6 (let's call it 'a')

Side opposite to the right angle: x (let's call it 'b')

Triangle 2:

Side adjacent to the right angle: x (let's call it 'c')

Side opposite to the right angle: 10 (let's call it 'd')

Using the Pythagorean theorem, we can write the following equations for each triangle:

Triangle 1:\(a^2 + b^2 = 6^2\)

Triangle 2: \(c^2 + d^2 = 10^2\)

Since the triangles share a common side, we know that b = c. Therefore, we can rewrite the equations as:

\(a^2 + b^2 = 6^2\\b^2 + d^2 = 10^2\)

Substituting b = c, we get:

\(a^2 + c^2 = 6^2\\c^2 + d^2 = 10^2\)

Now, let's add these two equations together:

\(a^2 + c^2 + c^2 + d^2 = 6^2 + 10^2\\a^2 + 2c^2 + d^2 = 36 + 100\\a^2 + 2c^2 + d^2 = 136\)

Since a^2 + 2c^2 + d^2 is equal to 136, we can conclude that x (b or c) is between 11 and 12

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Answer:

(-1/5)>=(-2/7)×x

by dividing both sides by (-2/7)

(-1/5)÷(-2/7)<=x

Simplify the inequality

7/10<=x so x>=0.7 so x belongs to the interval [7,inf)

Answer:

1)  \(\dfrac{2}{\sqrt{5} } = \dfrac{2 \cdot \sqrt{5} }{5}\)

2)  \(-\dfrac{5}{\sqrt{3} } = -\dfrac{5 \cdot \sqrt{3} }{3}\)

3)  \(\dfrac{\sqrt{2} + \sqrt{5} }{\sqrt{10} } =\dfrac{\sqrt{5} }{5} + \dfrac{ \sqrt{2} }{2}\)

4)  \(\dfrac{3 + \sqrt{2} }{\sqrt{3} } \times \dfrac{\sqrt{3} }{\sqrt{3} } = \sqrt{3} + \dfrac{\sqrt{6} }{3}\)

5)  \(\dfrac{\sqrt{3} }{\sqrt{5} + \sqrt{2} }= \dfrac{\sqrt{15} - \sqrt{6} }{3}\)

Step-by-step explanation:

The rationalization of the denominator of the surds are found as follows;

1) \(\dfrac{2}{\sqrt{5} }\)

\(\dfrac{2}{\sqrt{5} } \times \dfrac{\sqrt{5} }{\sqrt{5} } = \dfrac{2 \cdot \sqrt{5} }{5}\)

\(\dfrac{2}{\sqrt{5} } = \dfrac{2 \cdot \sqrt{5} }{5}\)

2) \(-\dfrac{5}{\sqrt{3} }\)

\(-\dfrac{5}{\sqrt{3} } \times \dfrac{\sqrt{3} }{\sqrt{3} } = -\dfrac{5 \cdot \sqrt{3} }{3}\)

\(-\dfrac{5}{\sqrt{3} } = -\dfrac{5 \cdot \sqrt{3} }{3}\)

3) \(\dfrac{\sqrt{2} + \sqrt{5} }{\sqrt{10} }\)

\(\dfrac{\sqrt{2} + \sqrt{5} }{\sqrt{10} } \times \dfrac{ \sqrt{10} }{\sqrt{10} } = \dfrac{\sqrt{20} + \sqrt{50} }{10 } = \dfrac{2\cdot \sqrt{5} + 5 \cdot \sqrt{2} }{10} = \dfrac{\sqrt{5} }{5} + \dfrac{ \sqrt{2} }{2}\)

\(\dfrac{\sqrt{2} + \sqrt{5} }{\sqrt{10} } =\dfrac{\sqrt{5} }{5} + \dfrac{ \sqrt{2} }{2}\)

4) \(\dfrac{3 + \sqrt{2} }{\sqrt{3} }\)

\(\dfrac{3 + \sqrt{2} }{\sqrt{3} } \times \dfrac{\sqrt{3} }{\sqrt{3} } = \dfrac{3 \cdot \sqrt{3}+\sqrt{6} }{3 } = \sqrt{3} + \dfrac{\sqrt{6} }{3}\)

\(\dfrac{3 + \sqrt{2} }{\sqrt{3} } \times \dfrac{\sqrt{3} }{\sqrt{3} } = \sqrt{3} + \dfrac{\sqrt{6} }{3}\)

5) \(\dfrac{\sqrt{3} }{\sqrt{5} + \sqrt{2} }\)

\(\dfrac{\sqrt{3} }{\sqrt{5} + \sqrt{2} } = \dfrac{\sqrt{5} - \sqrt{2} }{\sqrt{5} - \sqrt{2} } = \dfrac{\sqrt{15} -\sqrt{6} }{5 - 2} = \dfrac{\sqrt{15} - \sqrt{6} }{3}\)

\(\dfrac{\sqrt{3} }{\sqrt{5} + \sqrt{2} }= \dfrac{\sqrt{15} - \sqrt{6} }{3}\)

6) \(\dfrac{\sqrt{7} }{\sqrt{3} - \sqrt{5} }\)

\(\dfrac{\sqrt{7} }{\sqrt{3} - \sqrt{5} } \times \dfrac{\sqrt{3} + \sqrt{5}}{\sqrt{3} + \sqrt{5}} = \dfrac{\sqrt{21} + \sqrt{35}}{{3} + {5}} = \dfrac{\sqrt{21} + \sqrt{35}}{8}\)

\(\dfrac{\sqrt{7} }{\sqrt{3} - \sqrt{5} } \times \dfrac{\sqrt{3} + \sqrt{5}}{\sqrt{3} + \sqrt{5}} =\dfrac{\sqrt{21} + \sqrt{35}}{8}\)

A good residual plot should have the points randomly scattered around the horizontal line with no discernible pattern.

This indicates that the model is well fit to the data. The residuals should also be equally distributed on either side of the horizontal line. This can be seen as the sum of the residuals being equal to 0, or mathematically expressed as the sum of the residuals (e) being equal to 0, where \(e = y - ŷ\), where y is the observed value and ŷ is the predicted value. The equation can be expressed as Σe=0.

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Answer:

didn' t understand ....

The average rate of change per hour in the temperature is 0.83 degrees.

To find the average rate of change per hour, we need to divide the total change in temperature by the number of hours over which the temperature changed.

The temperature rose by 5 degrees from 6:00 am to 12:00 pm, which is a period of 6 hours.

Therefore, the average rate of change per hour can be calculated as follows:

average rate of change per hour = total change in temperature / number of hours

So, we have

average rate of change per hour = 5 degrees / 6 hours

average rate of change per hour = 0.83 degrees/hour (rounded to two decimal places)

So, the average rate of change per hour is 0.83 degrees.

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Writing linear equations given two points can be a useful skill when graphing linear equations.

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The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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Answer:

the answer is 4x + 3z

Step-by-step explanation:

1x + 3x + -1y + 1y + 2z + 1z

1x + 3x = 4x

-1y + 1y = 0

2z + 1z = 3z

so the answer is 4x + 3z

Answer:

18 per min and 0.3 per second

Step-by-step explanation:

Per minut --> 45/2.5 = 18 words per minut

Per sec --> 2.5 mins*60 secs = 150 sec, then 45/150 = 0.3 words per second

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