Using Cramer's Rule, the solution to the system of equations
6x−5y=−4−7x+3y=−1
can be written in the form (DxD,DyD).
What is the value of Dx?
Answers
Using Cramer's rule it is found that Dx = -34.
In Cramer's rule, we have three matrices.
x is a matrix in which the first column is the coefficients that multiply x, and the second are the coefficients on the right side of the equality.y is a matrix in which the first column is composed by the coefficients on the right side of the equality and the second is the coefficients that multiply y.M is a matrix in which the first column is the coefficients that multiply x, and the second is the coefficients that multiply y.In this problem, the system is:
\(6x - 5y = -4\)
\(-7x + 3y = -1\)
Matrix x is given by:
\(x = \left[\begin{array}{ccc}6&-4\\-7&-1\\\end{array}\right]\)
It's determinant is given by:
\(Dx = 6(-1) -(-4)(-7) = -6 - 28 = -34\)
Thus, Dx = -34.
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Related Questions
you drove 65 mph on the interstate throughout the trip. Write an equation in slope intercept form to represent the situation.
Answers
Answer:
65(8x6)
If jeffrey had 65 miles per gas, why did they not fill it up the full way?
Step-by-step explanation:
ANWSER ASAP!!!
100 points
At a national park, a trail rises no more than 3 feet above sea level. The inequality shown represents x , the height in feet of the trail. x≤3 Which number line shows the possible values of x ?
Answers
Answer:
For the inequality \(x \leq 3\), there were no pictures so I created my own number line, check the picture:
Hope it helps! <3
Step-by-step explanation:
The ____ is the distance across a clrcle, going through the center.
radius
circumference
area
diameter
Answers
Answer: diameter
Step-by-step explanation:
Answer:
The Diameter
Step-by-step explanation:
:)
Which fraction correctly shows the probability of14 favorable outcomes and 37 possible outcomes?
Answers
Answer: 14/37
Step-by-step explanation:
Use the following information to answer questions 21-25. GDP (Y) is 10,000. Consumption (C). is given by the equation C = 1,000 + 0.75(Y – T). Investment (I) is given by the equation I = 1,000 – 100r, where r is the real interest rate in percent. Taxes (T) are 2,000 and government spending (G) is 2,200.
Equilibrium interest rate (r) can be found by setting:
Select one:
A. S = I
B. Y = C + I + G
C. Both (a) and (b)
D. None of the above
22. Based on the information above, private saving is _____, public saving is _____, and the equilibrium interest is _____.
Select one:
A. 800, -200, 1
B. 1000, -200, 2
C. 1000, 200, 2
D. 1800, -200, 4
23. If the government increases government spending (G), national saving (S) _____, r _____, I _____.
Select one:
Decreases, increases, increases
Increases, decreases, increases
Increases, decreases, decreases
Decreases, increases, decreases
24. If the government increases G and T by the same amount, national saving (S) _____, r _____, C _____.
Select one:
Does not change, does not change, does not change
Decreases, increases, decreases
Decreases, decreases, decreases
Decreases, does not change, decreases
According to the consumption function stated above, consumption is a function of disposable income. This implies that the saving schedule is _____. If consumption was a function of disposable income and the real interest rate, such that C = 1,000 + 0.75(Y – T) – 50r, the saving schedule would be _____.
Select one:
Horizontal, vertical
Horizontal, upward sloping
Vertical, upward sloping
Vertical, downward sloping
Answers
The answer to question 21 is option C. Both S = I and Y = C + I + G are used to determine the equilibrium interest rate (r).
For question 22, the correct answer is option C. Private saving is 1000, public saving is 200, and the equilibrium interest rate is 2.
Regarding question 23, if the government increases government spending (G), national saving (S) decreases, the interest rate (r) increases, and investment (I) increases.
For question 24, if the government increases both G and T by the same amount, national saving (S) decreases, the interest rate (r) increases, and consumption (C) decreases.
In the last question, the saving schedule is vertical when consumption is a function of disposable income, and it would be upward sloping if consumption were also a function of the real interest rate.
21. The equilibrium interest rate (r) can be found by setting both saving (S) equal to investment (I) and aggregate output (Y) equal to consumption (C) plus investment (I) plus government spending (G). Therefore, option C is correct.
22. Private saving (S) is calculated by subtracting consumption (C) and taxes (T) from disposable income (Y). Using the given values, S = Y - C - T = 10,000 - (1000 + 0.75(Y - 2000)) - 2000 = 1000. Public saving (S) is given by S = T - G = 2000 - 2200 = -200. The equilibrium interest rate (r) is determined by the investment function I = 1000 - 100r. By substituting values, we find 1000 - 100r = 1000, which yields r = 2. Therefore, option C is correct.
23. If the government increases government spending (G), national saving (S) decreases because public saving decreases (since G increases), and private saving remains unchanged. As a result, the supply of loanable funds decreases, leading to an increase in the interest rate (r). With a higher interest rate, investment (I) increases due to the decrease in the cost of borrowing. Thus, the correct answer is option B.
24. When the government increases both government spending (G) and taxes (T) by the same amount, public saving (S) does not change because the increase in taxes offsets the increase in spending. However, national saving (S) decreases as private saving decreases. With a decrease in national saving, the supply of loanable funds decreases, causing the interest rate (r) to increase. Additionally, since consumption (C) depends on disposable income (Y) and taxes (T), an increase in taxes reduces disposable income and, therefore, decreases consumption. Thus, the correct answer is option D.
In the last question, the saving schedule is vertical when consumption is a function of disposable income only. This is because changes in disposable income will not affect consumption since there is no relationship with the real interest rate. If consumption were also a function of the real interest rate, the saving schedule would be upward sloping. This is because an increase in the interest rate would lead to a decrease in consumption and an increase in saving, while a decrease in the interest rate would have the opposite effect.
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esterday, Selma read 75 pages of her book. If she reads at a pace of 2 pages per minute today, which table shows only viable solutions for the total number of pages she has read, y, after x minutes have elapsed?
Answers
Using a linear function, the table that shows only viable solutions for the total number of pages she has read, y, after x minutes have elapsed is:
x: 0, 11, 20.25.
y: 75, 97, 115.5.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, we have that the intercept is of 75 and the slope is of 2, hence the function for the number of pages read after x minutes is given by:
y = 75 + 2x.
The domain has to be non-negative, as the time cannot be negative. After 14 minutes, for example, she will have read 103 pages, hence the table is:
x: 0, 11, 20.25.
y: 75, 97, 115.5.
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turn this fraction into percentage
6/125
Answers
Answer:
4.8%
Step-by-step explanation:
Step 1: divide the numerator by denominator
Step 2: Multiply 100 with the answer.
....................................................................
6/125 = 0.048
0.048 * 100
=4.8%
Ray has tea. He has 2.671 liters of tea he pours 0.47 liters in a glass. how many liters did he pour? Solve.
Answers
On solving the given problem by help of mathematical operations, we got - After Ray poured 0.47L, he was left with 2.201L.
What does the term "mathematical operations" mean?The term "operation" in mathematics refers to the process of calculating a value using operands and a math operator. For the given operands or numbers, the math operator's symbol has predetermined rules that must be followed.
What are the five operations in mathematics?In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
Total amount of tea Ray has - 2.671L
Amount of tea Ray poured - 0.47
Therefore,
amount he was left with was = 2.671- 0.47 = 2.201L
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Suppose that \( \sin \theta=\frac{14}{28} \) What is the value of \( \theta \) ? Give your answer in radians and degrees. Assume that \( \theta \) is an acute angle.
Answers
The reference angle that has a sin value of 1/2 is π/6 radians or 30 degrees. Therefore, the value of θ is π/6 radians or 30 degrees.
Given that sin θ = 14/28, we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 14. This yields sin θ = 1/2.
The value of sin θ equal to 1/2 corresponds to the angle θ being π/6 radians or 30 degrees in the first quadrant.
In general, the trigonometric function sin θ represents the ratio of the length of the side opposite the angle θ to the length of the hypotenuse in a right triangle. For sin θ to be positive, the angle θ must lie in the first or second quadrant. Since we are assuming θ to be an acute angle, it falls within the first quadrant.
In the first quadrant, the reference angle that has a sin value of 1/2 is π/6 radians or 30 degrees. Therefore, the value of θ is π/6 radians or 30 degrees.
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Olivia picked some peaches from her tree. She weighed each of the peaches. The results are shown in the line plot. What is the total weight of the two heaviest peaches?
Answers
Answer:
Hello,
the above question requires more information for anyone to be able to answer.
In the abscence of that, the total weight of the two heaviest peaches can be obtained by simply summing the individual weights of the two heaviest peaches.
If for instance there are 13 peaches and the two heaviest peaches weight 5Kg and 5.5 kg respectively, the weight of the two would translate to the following:
Step-by-step explanation:
5 +5.5= 10.5Kg
Cheers!
Heidi solved the equation 3(x 4) 2 = 2 5(x – 4). her steps are below: 3x 12 2 = 2 5x – 20 3x 14 = 5x – 18 14 = 2x – 18 32 = 2x 16 = x use the drops-downs to justify how heidi arrived at each step. step 1: step 2: step 3: step 4: step 5:
Answers
Heidi arrived at each step by applying mathematical operations and simplifications to the equation, ultimately reaching the solution.
Step 1: 3(x + 4)² = 2(5(x - 4))
Justification: This step represents the initial equation given.
Step 2: 3x + 12² = 10x - 40
Justification: The distributive property is applied, multiplying 3 with both terms inside the parentheses, and multiplying 2 with both terms inside the parentheses.
Step 3: 3x + 144 = 10x - 40
Justification: The square of 12 (12²) is calculated, resulting in 144.
Step 4: 14 = 2x - 18
Justification: The constant terms (-40 and -18) are combined to simplify the equation.
Step 5: 32 = 2x
Justification: The variable term (10x and 2x) is combined to simplify the equation.
Step 6: 16 = x
Justification: The equation is solved by dividing both sides by 2 to isolate the variable x. The resulting value is 16. (Note: Step 6 is not provided, but it is required to solve for x.)
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a community survey sampled 1923 people in colorado and asked them how long it took them to commute to work each day. the sample mean one-way commute time was 24.6 minutes with a standard deviation of 13 minutes. a transportation engineer claims that the mean commute time is less than 25 minutes. do the data provide convincing evidence that the engineer's claim is true? use the a
Answers
Since the p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis. Therefore, there is not enough evidence to support the engineer's claim. Hence, the engineer's claim is false.
To answer this question, we need to conduct a hypothesis test with a significance level of α = 0.05. The null hypothesis (H0) is that the true mean commute time is equal to or greater than 25 minutes, while the alternative hypothesis (Ha) is that the true mean commute time is less than 25 minutes. We can use a one-sample t-test to test this hypothesis, where the test statistic is calculated as:
t = (sample mean - hypothesized mean) / (standard deviation/sqrt (sample size))
t = (24.6 - 25) / (13 / sqrt(1923))
t = -1.53
Using a t-distribution table with degrees of freedom (df) equal to the sample size minus 1 (df = 1922), we find that the p-value for this test is 0.064. Since the p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis. Therefore, there is not enough evidence to support the engineer's claim that the mean commute time is less than 25 minutes. The deviation from the hypothesized mean is -0.4 which is less than 1 standard deviation, hence we cannot say with confidence that the mean commute time is less than 25 minutes.
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HELP
Find the area of rectangle PQRS.
What is the sine ratio of angle PRS?
What is the cosine ratio of angle PRQ?
What is the tangent ratio of angle PQS?
Answers
The area of the rectangle PQRS is; 100√3.
The sine ratio of angle PRS is; 1 / 2.
The cosine ratio of angle PRQ is; √3 / 2.
The tangent ratio of angle PQS is; √3 / 3.
What is the area of the rectangle PQRS?Since the figure PQRS is a rectangle; then triangles; PQR and PSR are right triangles.
Also, it follows from special triangles that the aforementioned triangles are 30-60-90 special triangles where; PRS = PQS = 30° and SPR and PRQ = 60°.
On this note, it follows that since PT = 10; PR = QS = 20.
Consequently, it follows from ratios of side lengths that; PS = QR = 10 and PQ = RS = 10√3.
On this note;
The area of the rectangle PQRS is; 10 × 10√3 = 100√3.
The sine ratio of angle PRS is; 10 / 20 = 1 / 2.
The cosine ratio of angle PRQ = 10√3 / 20 = √3 / 2.
The tangent ratio of angle PQS is; 10 / 10√3 = 1/√3 = √3 / 3.
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4 4/7 divided by 4/7
Answers
Answer:
8
Step-by-step explanation:
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A box with an open top is to be constructed from a square piece of cardboard, 3 ft wide, by cutting out a square from each of the four corners and bending up the sides. Find the largest volume that such a box can have. Let x denote the length of the side of the square being cut out. Let y denote the length of the base.
a) Write an expression for the volume V in terms of both x and y.
b) Use the given information to write an equation that relates the variables.
c) Use part (b) to write the volume as a function of only x.
d) Finish solving the problem by finding the largest volume that such a box can have.
Answers
The required maximum volume of the box is 2ft³.
What is volume?Volume is a measurement of how much space an object takes up.
We can calculate the amount of something needed to fill it, like water for a bottle, tank, or aquarium.
Amount of space that stuff takes up - that's what we mean when we talk about volume.
Stuff is anything that has mass and takes up room.
When scientists are measuring volume, they usually use cubic meters.
So, calculate as:
V=x·y²
2x+y=3
y=3-2x
V = x·(3-2x)² = x·(9-12x+4x²) = 9x - 12x²+4x
V ` = 9-24x+12x² = 3(4x²-8x+3) = 3(4x²-6x-2x+3)
= 3[2x(2x-3)-(2x-3)] = 3(2x-3)(2x-1)
When the most amount is present: V ` = 0
Then,
2x-3 = 0
2x = 3
x = 1.5 (That's wrong, 'cause y = 0.)
or: 2x-1 = 0
2x = 1
x = 0.5, y = 3 - 2 · 0.5 = 3 - 1 = 2
V max = 0.5 · 2² = 0.5 · 4 = 2 ft³
Therefore, the required maximum volume of the box is 2ft³.
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NEED HELP FOR TEST
Several bakeries in a town were asked the price for different amounts of donuts at their shop. The scatter plot with a line of best fit was created from the data gathered:
Part A: Estimate the correlation coefficient. Explain your reasoning for the given value.
Part B: How many positive and negative residuals are there? Explain your reasoning.
Part C: State the point with the largest absolute value residual and interpret the point in terms of the context of the data.
Answers
The coefficient of correlation is 0.303. There are six positive residuals and four negative residuals. The point with the greatest residual is (6,2), which is also the place with the greatest discrepancy between the projected and actual value.
The scatter plot is given in the question
As per the scatter plot, the coordinates of these points are as follows:
(1,2), (1,3), (2,4), (3,4), (3,5), (4,3), (4,5), (5,5), (5,6), (6,2).
Compute these points into a calculator, the coefficient is:
0.303.
A residual is defined as the difference between the observed and predicted values, so:
The positive residuals are the points above the line, thus there are six of them.
The points below the line are the negative residuals, so there are four positive residuals.
As a result, the largest residual in absolute value is at the point:
(6,2).
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Liu Tse is 6 years older than four times the age of her daughter, Lan. Lan will be 9 years old in 3 years.
Answers
Answer:
Well, you have given some information, but you have not said what we are looking for. So, what is the question?
Step-by-step explanation:
Answer:
Liu Tse is 30 years oldStep-by-step explanation:
Lan will be 9 years old in 3 years, so Lan is:
9 - 3 = 6 years old
four times the age of the daughter: 4×6 = 24
6 years older than four times the age of Lan: 24 + 6 = 30
how would you explain the analysis of variance in statistics
Answers
Analysis of variance (ANOVA) is a statistical method used to test the differences between two or more means. It is used to determine whether there are any statistically significant differences between the means of three or more independent groups. ANOVA is based on the assumption that the samples being compared are normally distributed and have equal variances.
The basic idea behind ANOVA is to compare the variation between groups to the variation within groups. If the variation between groups is significantly greater than the variation within groups, then it can be concluded that there are significant differences between the means of the groups being compared.
There are several types of ANOVA, including one-way ANOVA, two-way ANOVA, and repeated measures ANOVA. One-way ANOVA is used when there is only one independent variable, while two-way ANOVA is used when there are two independent variables. Repeated measures ANOVA is used when the same subjects are measured multiple times under different conditions.
ANOVA produces an F-statistic, which is used to determine whether there are significant differences between the means of the groups being compared. The F-statistic is calculated by dividing the variation between groups by the variation within groups. If the F-statistic is greater than 1, then it can be concluded that there are significant differences between the means of the groups being compared.
ANOVA has several assumptions that must be met in order for it to be valid. These include normality, homogeneity of variances, and independence of observations. Violations of these assumptions can lead to inaccurate results.
In conclusion, ANOVA is a powerful statistical method used to test for differences between two or more means. It compares the variation between groups to the variation within groups and produces an F-statistic that can be used to determine whether there are significant differences between the means of the groups being compared.
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Approximate the location of the following numbers on a number line. In your final answer, submit a hand drawn number line or a number line created using technology.
√144 ∛1,000 √130 √110 √120 √115 √133
Answers
Answer:
144,1,000 sorry if u get it wrong
Answer:
√144 = 12
√1000 = 10
√130 = 11.40
√110 = 10.48
√120 = 10.95
√115 = 10.72
√133 = 11.53
Step-by-step explanation:
random samples of size 100 are taken from an infinite population whose population proportion is .2. the mean and standard deviation of the sample proportion are:
Answers
The mean and standard deviation of the sample proportion are 0.2 and 0.04. The correct option is 0.2 and 0.04.
Based on the information provided, we can infer that the random samples of size 100 were taken from an infinite population with a population proportion of 0.2. This means that 20% of the population exhibits a certain trait or characteristic of interest.
The mean of the sample proportion is also 0.2, which is the same as the population proportion. This suggests that the sample is representative of the population and that the sample was drawn randomly.
The standard deviation of the sample proportion is 0.04, or 4%. This indicates that there is some variability in the sample proportions. However, it is not too high and suggests that the sample is reliable and consistent.
In conclusion, based on the mean and standard deviation of the sample proportion, we can say that the sample is representative of the population and that the estimates obtained from the sample are reliable and accurate. It is important to note that the size of the sample is relatively large (100) and this helps to increase the accuracy and precision of the estimates. The correct option is 0.2 and 0.04.
The complete question is;
Random samples of size 100 are taken from an infinite population whose population proportion is 0.2. The mean and standard deviation of the sample proportion are
0.2 and .04
0.2 and 0.2
20 and .04
20 and 0.2
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A bag contains red and blue marbles, such that the probability of drawing a blue marble is 1/8 An experiment consists of drawing a marble, replacing it, and drawing another marble. The two draws are independent. A random variable assigns the number of blue marbles to each outcome.
Answers
Answer:
Find the volume of this prism.
Answer:
24% or d
Step-by-step explanation:
Using the elimination method to solve
2 x-y=8
x + y = 20
Answers
Step-by-step explanation:
2x-y=8
x+y=20
------------
3x=28
×=28÷3=9.3
so
9.3+y=20
y=20-9.3
y=20.7
Can someone help me I don't understand, it's 5 marks
Answers
Step-by-step explanation:
For now ignore the inequalities, you can replace them by =
So,
You have y=1 first right?
This one is pretty simple it's where y is 1. x can change but y needs to stay 1. Find 1 on the line y and draw your line there. (orange line)
Next, y = 2x+2
You can do a littleeee table to find the coordinates of this line.
You give x any random value and replace it in the equation y and get y.
\(x \: \:0 \: \: 1 \\ y \: \:2 \: \:4 \)
For example here, we used 0 and 2 as x.
Y = 0(2)+2 = 0+2 = 2
Y = 2(1)+2 = 2+2 = 4
So we got two coordinates. (0,2) and (1,4)
Plot your points, and then use your ruler to draw the line.
(red line)
Next, x+y=3
This one you have to go to the x and y axis both and take 3 as your points and draw your line. (you go the the x axis and take 3 there, go to the y axis and take 3 there too)
(blue line)
Now, the inequalities. If you have > then it means the line is broken
If there is a line below the > (>=) then it's a solid line. I hope you understand why I broke the red and yellow lines now. But you can ignore this if it confuses you.
Just know if you have a:
• Horizontal or diagonal line, > is for above the line and < is for below the line
• Vertical, > is for right, < is for left.
It indicates the direction where the area should be
That's how you find R
3. Write an equation where the left side is your power of 10 times n and the right side is the result of multiplying 0.1515... by that power. (2 points)
(10)n = 10(0.11515).
4. Write the original equation, n = 0.1515... underneath your equation from question 3. Then subtract the equations. Show your work. (2 points)
ill give 100 points answer fast and brainlist
Answers
The required equation in which case the left side is the power of 10 times n and the right side is the result of multiplying 0.1515 by 10 is; (10)n = 10(0.1515).
The resulting equation from the subtraction is therefore; 9n = 9 (0.1515).
What is the result of the subtraction of both equations?3. It follows from the task content that the equation represented by the statement; "the left side is your power of 10 times n and the right side is the result of multiplying 0.1515".
Hence, the algebraic expression which represents the situation is; (10)n = 10(0.1515).
4. Also, by subtracting the equation n = 0.1515 from the equation above; we have;
(10)n = 10(0.1515).
-
n = 0.1515
Therefore, the resulting equation from the subtraction is;
(10n - n) = 10(0.1515) - 0.1515
9n = 9 (0.1515).
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Did vernon solve for the correct value of x? if not, explain where he made his error. yes, he solved for the correct answer. no, he should have set the sum of ∠aed and ∠dec equal to 180°, rather then setting ∠aed and ∠dec equal to each other. no, he should have added 8 to both sides rather than subtracting 8 from both sides. no, he should have multiplied both sides by 16 rather than dividing both sides by 16.
Answers
Instead of putting aed and dec equal to one another angle, he should have set the total of aed and dec to 180°.
Vernon made the error of presuming that the two angles aed and dec are equal to one another, but in reality, they are on different sides of a straight line, adding up to 180°. Vernon calculated the wrong number for x by assuming the angles to be equal to one another. This error is frequent because it is simple to forget that these two angles complement one another. Before attempting to solve for any unknown values, it is crucial to thoroughly examine the provided information and the connections between the angles. One can find the right answer for x by understanding the connection between the two angles in this issue.
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You have learned several methods for solving a system of equations. First, rank the methods in order of preference, noting which one you would choose to solve a system Next, describe how to use the method you prefer and give reasons why it is your preferred method. Last, consider your least-preferred method and explain why you placed it at the bottom of your list.
Answers
The ranks are;
The substitution methodElimination methodGraphingIt takes away an equation to make it easier for you to do.
There is only one equation to work on, instead of having two.
Steps:
Make one variable the subject of formula
Substitute the variable in the second equation
What are the methods for solving equations?There are three different ways to used in solving systems of linear equations in two variables:
These methods are listed as;
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A. To wash the first window, Roger extends the
ladder to 20 feet long. He places the base of
the ladder 6 feet from the side of the house.
Sketch a labeled picture of this to the right.
B. How far up the house will the 20-foot ladder
reach, to the nearest tenth of a foot? Show your
work in the space to the right.
Answers
h^2 + 6^2 = 20^2
h^2 + 36 = 400
h^2 = 364
h = 19.1 feet
help asap if you can pls an thank u!!!!!!!
Answers
The value of angle S is 53°
What is exterior angle theorem?Exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles.
With this theorem we can say that
7x+2 = 4x+13+19
collecting like terms
7x -4x = 13+19-2
3x = 30
divide both sides by 3
x = 30/3
x = 10
Since x = 10
angle S = 4x+13
angle S = 4(10) +13
= 40+13
= 53°
Therefore the measure of angle S is 53°
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A random sample of Grade 8 students at a school are asked whether they plan to take computer science in high school. OF those asked, 15 plan to take computer science, 5 do not, and 7 are unsure. There are 326 Grade 8 students in the school. Based on the sample, about how many Grade 8 students in the school plan to take computer science in high school? Explain...
Answers
Based on the sample, we can estimate that about 181 Grade 8 students in the school plan to take computer science in high school.
We have,
To estimate the number of Grade 8 students in the school who plan to take computer science in high school, we can use the proportion of students in the sample who plan to take computer science.
The proportion of students who plan to take computer science in the sample.
= 15/27
= 0.5556
We can assume that this proportion is representative of the entire Grade 8 population in the school.
To estimate the number of Grade 8 students who plan to take computer science, we can multiply this proportion by the total number of Grade 8 students in the school:
= 0.5556 x 326
= 181
Therefore,
Based on the sample, we can estimate that about 181 Grade 8 students in the school plan to take computer science in high school.
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If anyone know how to solve this please help!!
this my last slide to finish
solve this please!!
Answers
Answer:
Area=18ft^3 Surface Area=44ft^2
Step-by-step explanation:
The formula for area of a rectangular prism is A=lwh. So you just plus that in
Answer:
Volume = 18 cubic feet
Surface Area = 44 square feet
Double width = Double the space
Step-by-step explanation:
Please see attached explanations.
Surface area is the area (one side multiplied by another) of every side of the storage box, added together.
I have labeled each unique pair of sides as a, b, and c. That is top and bottom, left and right side, and front and back side.
Volume is the length multiplied by the width multiplied by the height.
By doubling the width, you are doubling the size of the box in that given direction. You can prove this mathematically by making the width twice of what it was and finding volume again.
