Ling walks 3/8 of the distance home from school in 9 minutes. She wants to know how long it will take her to walk the entire distance at the same speed. Ling uses the expressions 9 divided by 3/8 and 9 times 3/8 to find the answer. Explain what is wrong with Ling's expression and then write the correct solution.

Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

A line plot can be used as a data display for the distribution of test scores in math class. Thus, the option to choose is TRUE.

A line plot is a graph that shows data as checkmarks or dots across a number line, indicating the frequency of each value.

The test score in the math test will be discrete data with repeating frequencies. The score of every individual will moreover be a whole number.

The line plot, as we know, marks the dots across the number line, indicating frequency.

Thus, the scores in the math test can be displayed using a line plot, by indicating each type of mark on the line, and dots above those marks for the number of times the same marks occur.

Thus, the option to choose is true.

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Answer:

la respuesta es 25

Step-by-step explanation:

para calcular este tanto ciento, sugerimos usar esta formula:

%/100 = parte/total

realizando la multiplicatión en cruz:

25% x 100 = 100 x parte, o

2500 = 100 x parte

ahora es sólo dividir por 100 y obtener la respuesta:

parte = 2500/100 = 25

The given information is as follows:A random sample of 150 teachers in an​ inner-city school district found that​ 72% of them had volunteered time to a local charitable cause within the past 12 months.

The formula for calculating the standard error of sample proportion is given as:$$Standard\(\ error=\frac{\sqrt{pq}}{n}$$\)where:p = proportion of success in the sampleq = proportion of failure in the samplen = sample sizeGiven:Sample proportion, p = 72% or 0.72Sample size, n = 150

The proportion of failure in the sample can be calculated as:q = 1 - p= 1 - 0.72= 0.28Substituting the known values in the above formula, we get:\($$Standard \ error=\frac{\sqrt{pq}}{n}$$$$=\frac{\sqrt{0.72(0.28)}}{150}$$$$=0.0372$$\)Rounding off to the nearest thousandth, we get the standard error of sample proportion as 0.037

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The average speed during the interval between 1 second and 2 seconds is most nearly 8 m/s, which corresponds to option (E).

To determine the average speed during the interval between 1 second and 2 seconds, we need to find the displacement of the object during that time interval and divide it by the duration.

Looking at the graph, we can observe that the object's position increases from approximately 0 meters at 1 second to approximately 8 meters at 2 seconds.

Therefore, the displacement is 8 meters - 0 meters = 8 meters.

The duration of the time interval is 2 seconds - 1 second = 1 second.

To calculate the average speed, we divide the displacement by the duration:

Average speed = Displacement / Duration = 8 meters / 1 second = 8 m/s.

Therefore, the average speed during the interval between 1 second and 2 seconds is most nearly 8 m/s, which corresponds to option (E).

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The number 459 in the citation 319 N.W. 2d 459 represents the page number where the case or legal opinion can be found in the North Western Reporter, Second Series. The North Western Reporter is a series of case reporters that includes court decisions from various states in the northwestern region of the United States.

In legal citations, the number before the "N.W." indicates the volume number of the reporter. So in this case, "319" refers to the specific volume where the case is located. The abbreviation "N.W." stands for North Western Reporter, which is the name of the reporter series. The number "2d" after "N.W." indicates that this is the second series of the North Western Reporter.

To locate the case within the volume, the number "459" refers to the page number where the case begins. This allows readers, such as lawyers, judges, or researchers, to easily find and reference the specific case within the reporter.

In summary, the number "459" in the citation 319 N.W. 2d 459 represents the page number where the case can be found in the North Western Reporter, Second Series.

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Answer:

3 whole pizzas

Step-by-step explanation:

\(10 \times \frac{1}{4} = \frac{10}{4} = \frac{5}{2} = 2 \frac{1}{2} \)

So 3 whole pizzas will need to be ordered.

Answer:

2 and a half pies

Step-by-step explanation:

ten sixth graders eat 1/4 each, therefore 4 kids eat 1 whole pie. similarly, 8 kids eat two whole pies, since two kids are remaining they eat 2/4 of a pie.

which can also be put in as 1/2. this means they eat half a pie. and that is how altogether it is 2 and a half pies.

hope this helps!

Answer: 24 is 96% of 25.

Step-by-step explanation: You can apply the rule of three in order to answer this question. If 24 represents 96%, you can put this as 24/96. Then, use x as the value that represents 100%, you can put it as x/100. Order the data in a way you can cross multiply them; 24/96 = x/100. The answer is x = 25.

The probability of randomly choosing a green chip, then a black chip without replacing the first chip is 1/6.

To explain, we need to consider the probability of choosing a green chip first, then a black chip. The probability of selecting a green chip is 1/3, since there are 3 green chips out of 9 chips in total. After selecting the green chip, there are still 8 chips left in the bag. Since there are 2 black chips, the probability of selecting the black chip is 2/8.

Therefore, the probability of randomly selecting a green chip, then a black chip without replacing the first chip is 1/3 * 2/8 = 1/6.

In conclusion, the probability of randomly choosing a green chip, then a black chip without replacing the first chip is 1/6.

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The minimum value of z=9x+4y, subject to the given constraints, is 8. This value is obtained at the vertex (0, 2) of the feasible region. There is no maximum value for z as it increases without bound.

The minimum and maximum values of z = 9x + 4y can be determined by considering the given set of constraints. The objective is to find the optimal values of x and y that satisfy the constraints and maximize or minimize the value of z.

First, let's analyze the constraints:

1. 5x + 4y ≥ 20

2. x + 4y ≥ 8

3. x ≥ 0, y ≥ 0

To find the minimum and maximum values of z, we need to examine the feasible region formed by the intersection of the constraint lines. The feasible region is the area that satisfies all the given constraints.

By plotting the lines corresponding to the constraints on a graph, we can observe that the feasible region is a polygon bounded by these lines and the axes.

To find the minimum and maximum values, we evaluate the objective function z = 9x + 4y at the vertices of the feasible region. The vertices are the points where the constraint lines intersect.

After calculating the value of z at each vertex, we compare the results to determine the minimum and maximum values.

Upon performing these calculations, we find that the minimum value of z is 8, and there is no maximum value. The point that corresponds to the minimum value is (0, 2).

In conclusion, the minimum value of z for the given set of constraints is 8. There is no maximum value as z increases without bound.

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On solving the provided question, we can say that from the graphs

the new coordinates for ABCD (-1,-2),(2,-3),(-4,-6),(-3,8)

Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle

here,

ABCD = T (0, -8)(Ro 180°(R y-axis (PQRS)))

from the graphs

the new coordinates for ABCD

(-1,-2),(2,-3),(-4,-6),(-3,8)

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The given statement "An algorithm is a calculation that determines how long it will take to solve a problem." is False.

An algorithm is not just a calculation that determines how long it will take to solve a problem. An algorithm is a step-by-step set of instructions or a process used to solve a problem or perform a specific task. It is a systematic approach that allows a computer or human to break down a problem into smaller, manageable parts and reach a solution effectively.

Algorithms are the foundation of computer programming and can be applied in various fields such as mathematics, data processing, and problem-solving. They can be simple, like finding the largest number in a list, or complex, like solving a Rubik's Cube.

Efficiency is a key factor in evaluating algorithms. The time and resources required for an algorithm to solve a problem can vary greatly depending on the method used. However, the primary purpose of an algorithm is to provide a clear and concise procedure to reach a solution, rather than just estimating the time needed to solve a problem.

In summary, an algorithm is a well-defined process designed to perform a specific task or solve a problem, rather than just calculating the time required to do so. Its effectiveness depends on its efficiency, accuracy, and the simplicity of the steps involved.

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The sentence "64% of women in the sample are the principal investor in their household" serves as an example of descriptive statistics.

This sentence provides a summary of the survey's data and a descriptive statistic (percentage) that characterizes the sample's characteristics.

According to the survey's findings, "there is a correlation between American women and being the principal investor in their household." The sample data are used to draw this conclusion about the population. Despite the fact that the sample is not representative of all American women, the findings indicate that a sizable number of the women in the sample are the principal investors in their households.

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Answer:

Two possible answers below

Step-by-step explanation:

Probability and Sets

We are given two sets: Students that play basketball and students that play baseball.

It's given there are 29 students in certain Algebra 2 class, 10 of which don't play any of the mentioned sports.

This leaves only 29-10=19 players of either baseball, basketball, or both sports. If one student is randomly selected, then the propability that they play basketball or baseball is:

\(\displaystyle P=\frac{19}{29}\)

P = 0.66

Note: if we are to calculate the probability to choose one student who plays only one of the sports, then we proceed as follows:

We also know 7 students play basketball and 14 play baseball. Since 14+7 =21, the difference of 21-19=2 students corresponds to those who play both sports.

Thus, there 19-2=17 students who play only one of the sports. The probability is:

\(\displaystyle P=\frac{17}{29}\)

P = 0.59

Answer:

Step-by-step explanation:

Given ABC and CDE are tangents

so, Angle OBC and Angel ODC are 90 degrees

this is because "The tangent at any point of a circle and radius through this point are perpendicular to each other"

Angle BFD is twice the angle BOD

because "angel at the center is twice the angle at remaining circumference"

So now,

Angle BOD is 2(76) = 152 degrees

Angle OBC = 90 degrees

Angle ODC = 90 degrees

Angle BCD = ?

Now, BODC is a quadrilateral with the some of all 4 angels equal to 360 degrees

Therefore,

Angle BCD = Total - (Angle BOD + Angel OBC + Angle ODC)

Angle BCD = 360 - (152 + 90 + 90)

Angel BCD = 28 degrees

Answer: angle BCD = 28⁰

Ok done. Thank to me :>

Answer:

h=2

Step-by-step explanation:

7h=−(2h−18)

Distribute the minus sign

7h = -2h +18

Add 2h to each side

7h +2h = -2h+2h +18

9h = 18

Divide each side by 9

9h/9 =18/9

h =2

Answer:

h = 2

I got it right on Kahn Academy

Answer:

number of $8 sold= 200

Number of $10 tickets sold= $150

Number of $12 tickets sold = $50

Step-by-step explanation:

Let the quantity of $8 ticket be represented as  x

Let the quantity of $10 ticket be represented as  y

Let the quantity of $12 ticket be represented as  z

Such that total tikets sold = 400 can be represented as x+y+z= 400

Prices of$8, $10 and $12 gave a total income of $3,700  such that it can be represented as

8x +10y + 12z =$3,700

Also given that combined number of $8 and $10 priced tickets sold was 7 times the number of $12 tickets sold, we have that

x+y = 7z

Giving us the equations to solve to  be

x+y+z= 400------ equation 1

8x +10y + 12z =$3,700---- equation 2

x+y = 7z------equation 3

Step 2- solving

Putting equation 3 i n equation 1, we have that

7z+z = 400

8z= 400

z= 400/8= 50

also puting the value of z= 50 in equation 1

x+y+z= 400

x+y+50= 400

x+y = 350---- equation 4

putting z= 50 into equaton 2 and solving out

8x +10y + 12z =$3,700

8x +10y + 12x 50 =$3,700

8x +10y + 600 =$3,700

8x +10y =3,700 - 600

8x +10y=3,100---------equation 5

Multiplying equation 4 by 8  and subtracting from equation 5

8x +10y=3,100

-8x+8y= 2,800

2y=300

y= 300/2

y=150

to find x, when y= 150 using equation 4

x+y = 350

x= 350-150

x= 200

Therefore number of $8 sold= 200

Number of $10 tickets sold= $150

Number of $12 tickets sold = $50

Answer:

y=(x-5)^2-1

Step-by-step explanation:

From the solid black graph to dashed red graph, you've shifted the graph right 5 units and down 1 unit.

Answer:

The correct answer is the one on the top right

Step-by-step explanation:

Answer:

Large numbers require a large number of zeros when writing in scientific notation.

To express such quantities in a simpler and more efficient manner, mathematicians and scientists use scientific notation.

Step-by-step explanation:

Answer:

its 9 :>

Step-by-step explanation:

i hope i got it correct

The Null and Alternative hypothesis are

Hₒ: π= 0.79

Hₐ: π > 0.79

Statistic Z = -26.38

P-value = 0

Conclusion : The null hypothesis is

rejected .

Final Conclusion : which implies that population proportion is different from

π= 0.79.. This sample proportion can notbe product of chance.

There is enough evidence to support to the claim that selection of people is biased against allowing this ethnicity to sit on the grand jury.

We have problem of proportion and we have to apply hypothesis testing in it .

We claim that the selection is biased against allowing this ethnicity to sit on the grand jury. This means that proportion of people of enthic selected for jeury in a way below from proportion that eligible for jury .

Null and Alternative hypothesis are

Hₒ: π= 0.79

Hₐ : π> 0.79

The significance level is 0.01

The sample we will use is total of 876 people that were selected for grand jury duty (n= 876). 42% of them were entnicity for which we are testing , so sample proportion is p= 0.42

The standard error is

σₚ= s√ (π(1-π)/n)= √ 0.79 (1-0.79)/ 876 = √0.00019 = 0.0137~ 0.014

Then we can calculate Z – value

Z = (p-π+0.5/n)/ σₚ =( 0.42 – 0.79 + 0.5/876 )/ 0.014 = - 0.03964/0.014 = - 26.387

P-value for this test statistic is 0

P-value (z<-26.38)= 0

P-value = 0 < 0.01

As we see that P-value is less lower then significance level . This sample result is unpredictable. The null hypothesis is rejected which implies that population proportion is different from π= 0.79

This sample proportion can not be product of chance.

There is enough evidence to support to the claim that selection of people is biased against allowing this ethnicity to sit on the grand jury.

#Complete Question:

In a recent court case it was found that during a period of 11 years 876 people were selected for grand jury duty and 42% of them were from the same ethnicity. Among the people eligible for grand jury duty, 79.5% were of this ethnicity. Use a 0.01 significance level to test the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution. Which of the following is the hypothesis test to be conducted?

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Answer:

Step-by-step explanation:

The Euler equation represents the relationship between current-period consumption and future-period consumption in the optimum. It is derived from intertemporal optimization in economics.

In the context of consumption, the Euler equation can be expressed as:

u'(Ct) = β * u'(Ct+1)

where:

- u'(Ct) represents the marginal utility of consumption in the current period,

- Ct represents current-period consumption,

- β is the discount factor representing the individual's time preference,

- u'(Ct+1) represents the marginal utility of consumption in the future period.

This equation states that the marginal utility of consumption in the current period is equal to the discounted marginal utility of consumption in the future period. It implies that individuals make consumption decisions by considering the trade-off between present and future utility.

Note: The Euler equation assumes a constant discount factor and a utility function that is differentiable and strictly concave.

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Answer:

256

Step-by-step explanation:

any number to the 0 power equals 1, so r^0 equals 1

then, you have (4(1))^4

4×1=4

4^4=256

Answer:

3328

Step-by-step explanation:

13(4r^0)^4=13*44= 13*(4

*

4

*

4

*

4

)

=

3328

Answer:

B 100%

Step-by-step explanation:

Answer: Divide both sides by the numeric factor on the left side, then solve.

Exact Form: x= −83/2

Answer: x = -41.5

Step-by-step explanation:

Distribute the 4 that is outside of the parentheses.

4 times x = 4x

4 times -11 = -44

Then to isolate the variable add 44 to both sides of the equation to cancel out -44.

-44 + 44 = 0

-210 + 44 = -166

Now your equation should 4x = -166

To find x, divide both sides of the equation by 4.

4x divded by 4 is x.

-166 divded by 4 is -41.5.

So the answer is x = -41.5.

To check the answer, plug in -41.5 to the x.

4(-41.5 - 11) = -210

The 90% confidence interval for the difference in the population means is -2.51 to 0.31

From the question, we have the following parameters that can be used in our computation:

xˉ₁ = −17.1

s₁² = 8.4

n₁ = 22

​xˉ₂ = −16.0

s₂² = 8.7

n₂ = 24

Calculate the pooled variance using

P = (df₁ * s₁² + df₂ * s₂²)/df

Where

df₁ = 22 - 1 = 21

df₂ = 24 - 1 = 23

df = 22 + 24 - 2 = 44

So, we have

P = (21 * 8.4 + 23 * 8.7)/44

P = 8.56

Also, we have the standard error to be

SE = √(P/n₁ + P/n₂)

So, we have

SE = √(8.56/22 + 8.56/24)

SE = 0.86

The z score at 90% CI is 1.645, and the CI is calculated as

CI =  (x₁ - x₂) ± z * SE

So, we have

CI = (-17.1 + 16.0) ± 1.645 * 0.86

This gives

CI = -1.1 ± 1.41

Expand and evaluate

CI = (-2.51, 0.31)

Hence, the confidence interval is -2.51 to 0.31

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