At school 2 out of every 5 students in the sixth grade are members of the band which ratio represents the number of 6th graders that are not members of the band

Answer:

-33

Step-by-step explanation:

-11 + -11 + -11 = -33

-11 x 3 = -33

Hope this helps you :)

Hey there!

\(-11+-11+-11\)

If you want to solve, multiply -11 by 3 because it is being multiplied 3 times.

\(-11*3=-33\\-33(ANSWER)\)

Hope this helps!

\(\text {-TestedHyperr}\)

The equation that models this scenario is: \(c(x) = -2x^2 + 16x + 168\).

Given:

Average number of students per session = 14

Fee per session = $12

For every $2 increase in the fee.

Let x be the number of $2 fee increases.

So, the fee for each session is $12 + ($2 x) as there is a $2 increase for each x.

and, the average reduces by 1 for each $2 increase then the average number of students per session is 14 - x.

Now, the revenue generated

\({\text} Revenue (c(x)) =\) \({\text} Fee per session * Average number of students per session\)

Substituting the values of fee per session = 12 + 2x and Average= 14- x into above formula as:

\(c(x) = (12 + (2 x)) * (14 - x)\)

Expanding and simplifying the equation:

\(c(x) = (12 + 2x) * (14 - x)\)

\(c(x) = 168 - 12x + 28x - 2x^2\)

\(c(x) = -2x^2 + 16x + 168\)

Therefore, the equation is: \(c(x) = -2x^2 + 16x + 168\)

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Th question attached here seems to be incomplete, the complete question is:

Type the correct answer in each blank. Use numerals instead of words. If necessary, use / for the fraction bar(s). John hosts an art workshop on the weekends. He has an average of 14 students in each session and charges a fee of $12 per session. He estimates that for every $2 increases in the fee, the average number of students reduces by 1. Complete the equation that models this scenario, where c(x) is the revenue generated and x is the number of $2 fee increases.

c(x) =_x^2 +_x+_

Answer:

Step-by-step explanation:

its correct [hope this helped]

In this scenario, we can expect most of the light bulbs to have lifetimes close to 10 months, with some variation due to the standard deviation of 2 months.

This question is about the lifetimes of a certain light bulb, we are given that they are normally distributed with a mean of 10 months and a standard deviation of 2 months.
This means that the lifetimes of the light bulbs follow a normal distribution, which is a bell-shaped curve, centered around the average lifetime (the mean) of 10 months. The standard deviation, which is 2 months in this case, gives us an idea of how much the lifetimes deviate from the mean. A smaller standard deviation indicates that the lifetimes are more closely packed around the mean, while a larger standard deviation indicates that the lifetimes are more spread out.

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The households using television (HUT) figure is 75.06%.

The households using television (HUT) figure is a measure of the percentage of households that have turned on their televisions at a particular time. It is calculated by dividing the number of households watching TV by the total number of households and multiplying by 100%.

In this case, we are given that 90 million households in the US turned on their televisions at 8:00 p.m. on a Sunday night. The total number of US households is 119.9 million. Using this information, we can calculate the HUT figure as follows

Households using television (HUT) = (Number of households watching TV / Total number of households) x 100%

HUT = (90 million / 119.9 million) x 100%

HUT = 75.06%

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Answer: The equivalent decimal is 0.5

Step-by-step explanation: Ok, so 4/8 is a equivalent fraction to 1/2.

0.5 is the decimal form for one half.

I am also 100% sure I am right, so you have no worries :D

Answer: the answer is 0.5

Step-by-step explanation:

Answer:

A 95% confidence interval for the proportion of defective items in the population of total 100 items is equals to the (0.1216, 0.2784). So, the correct choice for answer is option(b).

We have a sample for the population proportion,

Total items = 100

defective items = 20

Confidence level for the proportion of defective items in the population = 95%

So, observed value, = 20

Sample size, n = 100

Estimate for sample proportion :

\(\hat{p} =\frac{x}{n} =\frac{20}{100} = 0.2\)

Level of significance is = 0.05

Using the Z-distribution table, Z critical value for 95% confidence interval is 1.96. So, confidence interval is defined as below, \( CI = \hat{p}\pm Z \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}= 0.2\)

\( = \pm 1.96 \sqrt{\frac{\ 0.2 ×0.8 }{ 100 }}=( 0.1216 , 0.2784 ) \\ \)

Hence, the required interval is (0.1216, 0.2784).

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Answer:

Scientific notation: 1.54 x 10^21

Scientific e notation: 1.54e21

Real number: 1540000000000000000000

Approximately 1700 megawatts of electricity could be supplied by Hydropower in 2017. Option B is correct.

Given that,
In 2017 there were enough renewable energy sources to supply a total of 9309 megawatts of electricity in a country. The graph shows the proportions that the different renewable energy sources could supply.

the percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here, from the graph contribution of the hydropower is 18.2%.
So the electricity produced through hydropower is,
= 9309 * 18.2%
= 9309 * 18.2/100
= 1694.23
≈ 1700 megawatts

Thus, approximately 1700 megawatts of electricity could be supplied by Hydropower in 2017.

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Answer:

x=47

Step-by-step explanation:

all straight lines add up to 180°

we can work out x using this

we do:

180-86=94 to work out what 2x equals to

then we do

94/2=47 to find out what x equals to

x=47

hope this helps!

The response is: Median = 5 and Mean = 6. The mean is a more accurate way to assess central tendency.

Finding the data set's mean and median will be our first step.

The average of the set is all that the mean is, and it will be

Mean = 5+0+5+2+0+10+7+8+10+21+5+8+2+5+3+5 / 16 \s= 96/16 \s= 6

As a result, the median is 5

We must evaluate the skewness of each metric to determine which is the superior one.

1.51 is the skew value.

It is therefore positively biased.

Thus If the distribution is positively skewed, the mean will be higher than both the median and the mode. Consequently, the response is Mean = 6, Median = 5. The mean is a more accurate way to assess central tendency.

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Answer:

So all you have to do is ... 15% of $26=3.9, in that case your answer would be 22.1. Hope that helped!

To determine the sample size needed, we would need the value of the population standard deviation (σ) in order to calculate it using the equation n = σ² / s², where n represents the sample size and s represents the standard deviation of the sampling distribution.

To find the sample size needed, we can use the equation that relates the population standard deviation (σ), the sampling distribution's standard deviation (s), and the sample size (n). The equation is:

s = σ / √n

We are given that the standard deviation of the sampling distribution (s) is 0.01 grams per mile. We need to rearrange the equation to solve for the sample size (n). By squaring both sides of the equation, we get:

s² = (σ / √n)²

s² = σ² / n

n = σ² / s²

Therefore, to find the sample size needed, we divide the population standard deviation (σ) squared by the sampling distribution's standard deviation (s) squared.

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Answer:

B. {–3, 5.9, 8.3}

Step-by-step explanation:

The domain is the set of all the values of  

x .The range is the set of all the values of  y .

Domain: { 3.2 , 7.6 , 1.4 , − 9.1 }

Range: { − 3 , 5.9 , 8.3 }

Answer:

range is -3, 5.9 , 8.3

Step-by-step explanation:

{(3.2, –3), (7.6, 5.9), (1.4, –3), (–9.1, 8.3)}

We are given with set of ordered pairs (x,y)

In each ordered pair, x is the domain and y is the range

for domain , take all the x  values (first number) from the ordered pairs

for range, take all the y value (second number) from the ordered pairs

y values of the ordered pairs are -3, 5.9, -3, 8.3

So range is -3, 5.9 , 8.3

No, it is not possible to have a simple graph with n vertices, where n is any integer greater than or equal to 5, such that all vertices have different degrees.

In a simple graph, the degree of a vertex refers to the number of edges connected to that vertex. The maximum degree possible in a graph with n vertices is (n-1), which occurs when one vertex is connected to all other vertices.

To create a graph where all vertices have different degrees, we would need to assign a unique degree to each vertex. However, if n is greater than or equal to 5, we cannot assign n unique degrees to n vertices while satisfying the conditions of a simple graph.

To see why, consider the case of n = 5. We need to assign degrees 1, 2, 3, 4, and 5 to the vertices.

The vertex with degree 5 must be connected to all other vertices, leaving us with four remaining degrees (1, 2, 3, and 4) to assign to the remaining four vertices. However, no matter how we distribute these degrees, at least two vertices will have the same degree.

This argument can be extended to any value of n greater than 5. Therefore, it is not possible to construct a simple graph with n vertices where all vertices have different degrees for any integer n ≥ 5.

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Answer:

f(x) = -2x-15

Step-by-step explanation:

f(x) = -2(x+5)-5 = -2x-15

Answer:

170 in²

Step-by-step explanation:

This trapezoid is broken up into two shapes: a triangle and a parallelogram.

The formula for area of a triangle is b (base) × h(height) ÷ 2.

The base of the triangle is 4 and the height is 10.

b (base) × h(height) ÷ 2

10 × 14 ÷ 2 = 70

-------------------------------------------------------------------------------------------------------------

The formula for area of a parallelogram is b (base) × h(height).

The base of the parallelogram is 10 and the is 10 as well.

b (base) × h(height)

10 × 10 = 100.

-------------------------------------------------------------------------------------------------------------

Lastly, add both areas.

100 + 70 = 170

Therefore, the area of this figure is 170 in².

Answer:

x = 31 /4 , y = −11 /2

Answer:

A) 3:2

Step-by-step explanation:

45:30

divide by 5

9:6

divide by 3

3:2

To display formulas, one way is to press the key combination [Ctrl]+[] (grave accent).

The key combination [Ctrl]+[] is used to display formulas.

This is a useful feature for checking and editing formulas without altering the calculated values.

By pressing [Ctrl]+[], users can easily view the underlying formulas and ensure their accuracy.

This key combination provides a convenient way to switch between the formula view and the results view, enabling efficient editing and troubleshooting of complex calculations.

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To determine whether the existence uniqueness theorem applies to the given initial value problem (IVP) dy/dx = x^3 - 8/(y^2 + 2y + 1) with various initial conditions, we need to check if the function and its partial derivative satisfy the necessary conditions.

The existence uniqueness theorem requires the function to be continuous in a certain interval and the partial derivative with respect to y to be continuous in the same interval.

Let's examine the given options:

A. y(-2) = 1: The function and its partial derivative should be continuous in the interval containing x = -2 and y = 1. To determine this, we would need to analyze the behavior of the function and its partial derivative in the given interval.

B. y(2) = 1: Similar to option A, we need to check if the function and its partial derivative are continuous in the interval containing x = 2 and y = 1.

C. y(1) = 1: Again, we need to determine if the function and its partial derivative are continuous in the interval containing x = 1 and y = 1.

D. y(-1) = 1: We need to check if the function and its partial derivative are continuous in the interval containing x = -1 and y = 1.

E. None of the above: This option would be selected if none of the initial conditions (A, B, C, D) satisfy the conditions for the existence uniqueness theorem.

To make a definitive determination, we would need to evaluate the function and its partial derivative in the specific intervals mentioned for each initial condition. Based on this information, we can identify whether the existence uniqueness theorem applies to any of the given options or if the correct answer is E (None of the above).

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Answer:

The triangle is isosceles and the median is drawn from the vertex having the equal sides as its two arms. Here the median will be the angle bisector as well. The triangle is equilateral and the median from any of the 3 vertices is drawn perpendicular to the opposite side.

The system of equations that model the situation is:

4c + 2s+ 3b == $29.51

c + 4s + 2b = $21.83

2c + 5s = $21.93

Simultaneous equations are more than one equation that would have to be solved jointlu in order to determine the required values.

Methods of solving simultaneous equations are:

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In mathematics, SAS stands for 'Side-Angle-Side' which is a criterion used to determine congruence (equality in size and shape) between two triangles.

The SAS criterion states that if two triangles have two sides that are proportional in length

and the included angles between those sides are congruent, then the two triangles are congruent.

To understand how SAS works,

Side,

This refers to a specific side of a triangle.

In the SAS criterion, we compare the lengths of the sides of two triangles to determine if they are proportional.

Angle

This refers to a specific angle within a triangle.

In the SAS criterion, compare the angles formed by the corresponding sides of the two triangles to determine if they are congruent.

Side-Angle-Side

This combination of a side, an angle, and another side is what we compare between two triangles.

If the two triangles have the same proportions for the corresponding sides and the same measures for the included angles,

they are considered congruent.

To illustrate this, let's consider an example

Suppose we have two triangles, triangle ABC and triangle DEF.

If side AB is proportional in length to side DE, angle BAC is congruent to angle EDF, and side BC is proportional in length to side EF,

then conclude that triangle ABC is congruent to triangle DEF using the SAS criterion.

By applying the SAS criterion,

mathematicians can determine whether two triangles are congruent without relying on other criteria such as Side-Side-Side (SSS),

Angle-Angle-Side (AAS), or Side-Angle-Angle (SAA).

Congruence is a fundamental concept in geometry and plays a significant role in various geometric proofs and constructions.

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Answer:

-135, -134, -133

Step-by-step explanation:

Hi there!

Let x be equal to the first integer in the set of three consecutive integers.

Let x+1 and x+2 be the consecutive integers.

We're given that they have a sum of -402.

We can construct an equation:

\((x)+(x+1)+(x+2)=-402\)

Combine like terms:

\(x+x+1+x+2=-402\\x+x+x+1+2=-402\\3x+3=-402\\3x=-405\\x=-135\)

Therefore the first integer is -135.

The next two consecutive integers after -135 is -134 and -133.

Therefore, the three consecutive integers are -135, -134 and -133.

I hope this helps!

200 elements are required to be in the sample.

The sampling interval is the frequency with which data is collected. The sampling interval is computed by the division of the total population size by the required sample size.

So, from the information given:

The elements that are required to be in the sample i.e. the sample size (n) can be computed by using the formula:

\(\mathbf{i = \dfrac{N}{n}}\)

\(\mathbf{ n= \dfrac{N}{i}}\)

\(\mathbf{ n= \dfrac{1000}{5}}\)

n = 200 elements.

Therefore, we can conclude that 200 elements are required to be in the sample.

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