1. Use the GRAPHING METHOD to
solve the following system of
equations. (4pts)
y = (x) - 4
5x +y = 2
Answers
Answer:
x = 6
y = 2
(6,2)
Step-by-step explanation:
Align equations with each otherRearrange to have y and x on the same sideAdd both equations to cancel out a variable (y)Solve for the remaining variable (x)Plug in x into any one of the two original equations to obtain the Y variableTHE SOLUTION WORK IS ATTACHED
Related Questions
How do we divide in math?
Answers
Dividing in math is the process of finding the quotient of two numbers.
The formula for dividing two numbers is a/b = c, where a and b are the two numbers being divided and c is the quotient.
Division is a mathematical operation that is used to split a whole number into parts. It is the opposite of multiplication, which combines numbers together. The formula for division is A / B = C, where A is the dividend (the number being divided), B is the divisor (the number dividing the dividend), and C is the quotient (the result of the division). To calculate, you divide the dividend by the divisor and the quotient is the resultTo calculate the quotient, you must divide a by b. For example, if we wanted to divide 8 by 4, we would divide 8 by 4 to get 2. The calculation would look like this: 8/4 = 2. As a result, 8 divided by 4 is equal to 2.
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Choose the graph where the constant of variation is 2.
Answers
Answer:
c
Step-by-step explanation:
Answer:
Its C
Step-by-step explanation:
I did it on edge
HELP ME PLEASE HURRY PLEASE GIGI I LOVE YOU GIGI
Answers
Answer:4
Step-by-step explanation:
because A is actually 6,3 while B is 6,7 A to get 7 is 4 time
hope that helps u girl !!
A customer wants to buy the minivan. Her budget is $23,000. The selling price plus 5% sales tax goes over the customers budget. What maximum selling price can the customer afford? Explain?
Answers
Step-by-step explanation:
$23,000 × 5/100
= 230×5
=1,150
My bag weighs 4 pounds how many ounces does it weigh
Answers
Answer:
The answer is 64 ounces.
Answer:
64 ounces
Step-by-step explanation:
1 pound = 16 ounces
4 * 16 = 64
the expected cell frequency is based on the researcher's opinion.
True or false
Answers
False. The expected cell frequency in statistical analysis, specifically in the context of contingency tables and chi-square tests, is not based on the researcher's opinion. Instead, it is determined through mathematical calculations and statistical assumptions.
In contingency tables, the expected cell frequency refers to the expected number of observations that would fall into a particular cell if the null hypothesis of independence is true (i.e., if there is no relationship between the variables being studied). The expected cell frequency is calculated based on the marginal totals (row totals and column totals) and the overall sample size.
The expected cell frequency is computed using statistical formulas and is not influenced by the researcher's opinion or subjective judgment. It is a crucial component in determining whether the observed frequencies in the cells significantly deviate from what would be expected under the null hypothesis.
By comparing the observed cell frequencies with the expected cell frequencies, statistical tests like the chi-square test can assess the association or independence between categorical variables in a data set.
Thus, the statement "the expected cell frequency is based on the researcher's opinion" is false. The expected cell frequency is derived through statistical calculations and is not subject to the researcher's subjective input.
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To estimate the number of typographical errors in a 65-page manuscript, a systematic sample of pages is selected by first selecting a random number between 1 and 10 and including in the sample that numbered page and every 10th page thereafter. The random number selected was 6. The number of typographical errors on the sample pages were 1, 0, 2, 3, 0, and 1. Assume that no errors on sample pages were missed.
(a) Give an unbiased estimate, under the design used, of the total number of errors in the manuscript. What design was used?
(b) The person doing the survey estimated the total number of errors in the manuscript by 65(1 + 0 + 2 + 3 + 0 + 1)/6 = 75.83. Which estimator was used? Is it unbiased with the design used?
(c) The variance of the estimator was estimated by 65(65 − 6)(1.37)/6, where 1.37 is the sample variance of the six error counts. Is this unbiased for the actual variance of the estimator of the total number of errors? Discuss.
Answers
(a) The unbiased estimate of the total number of errors in the manuscript is approximately 75.83.
(b) Sample average of the errors estimator is used on it.
(c) Yes, this is unbiased for the actual variance of the estimator of the total number of errors
(a) Unbiased estimate of the total number of errors:
To estimate the total number of errors in the manuscript, we need to consider the design used, which involves selecting a systematic sample of pages. The design selects the page with the random number 6 and then includes every 10th page thereafter. We are given the number of errors on the sample pages: 1, 0, 2, 3, 0, and 1.
The average number of errors per page in the sample is calculated as the sum of the errors on the sample pages divided by the number of sample pages:
(1 + 0 + 2 + 3 + 0 + 1) / 6 = 7 / 6 ≈ 1.17.
Now, we can estimate the total number of errors in the manuscript by multiplying the average number of errors per page by the total number of pages:
1.17 * 65 = 75.83.
(b) Estimator used and its unbiasedness:
The estimator used in this case is the sample average of the errors per page, which is calculated by summing the errors on the sample pages and dividing by the number of sample pages. In this case, the person estimated the total number of errors in the manuscript as 75.83 using the formula: 65(1 + 0 + 2 + 3 + 0 + 1) / 6.
(c) Variance of the estimator and its unbiasedness:
The variance of an estimator measures the variability or spread of the estimator's values around its expected value. To estimate the variance of the estimator, the formula used is 65(65 - 6)(1.37) / 6, where 1.37 is the sample variance of the six error counts.
To have an unbiased estimate of the variance, we would need to divide the numerator by (n - 1), where n is the number of sample units. In this case, n is 6 since we have six sample pages.
Therefore, the estimated variance of the estimator provided, 65(65 - 6)(1.37) / 6, is biased for the actual variance of the estimator of the total number of errors.
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Shryia read a book cover to cover in a single session, at a constant rate. After reading for 1.5, point, 5 hours, she had 402 out of the total 480 pages left to read.
Answers
Answer:
y = -52x + 480
Step-by-step explanation:
Let us assume the number of pages left be x
And, the number of hours is x
According to the question
Data given is as follows
Number of hours 1.5 and 5
Total pages 480
Left pages 402
Based on the above information,
The computation is shown below;
Pages read by Shriya in 1.5 hours is
= Total pages in the book - left pages to read
= 480 pages - 402 pages
= 78 pages
And, there is 1.5 hours
So in one hour she read
= 78 pages ÷ 1.5 hours
= 52 pages per hour
So, the equation is
y = -52x + 480
are lines y=3+5x and y=5x-1 parallel perpendicular or neither
Answers
Answer:
Step-by-step explanation:
y=mx+b is the standard form
m= slope
If the slopes are the same they are parallel
If the slopes are Opposite signed and reciprocals, then they are perpendicular
both of the slopes are 5, so the lines are parallel
What is the probability that the waiter will earn a total of less than $450 in tips when he waits on 40 parties (round answer to 4 decimal places)?.
Answers
The probability that the waiter will earn a total of less than $450 in tips when he waits on 40 parties is equal to 0.1660
How to solve sampling distribution problems?We are given that Population mean; μ = $9.60
Population standard deviation; σ = $5.40
The Sample size; n=10
Now standard deviation is
s = σ/√n = 5.4/√10
s = $1.7076
The z-score is gotten from the formula;
z = (x - μ)/s
The Average pay = 450/40 = $11.25
Thus
z = (11.25 - 9.60)/1.7076
z = 0.97
The probability is gotten from p-value from z-score calculator online which is;
P(Z > 0.97) = 1 − P(Z < 0.97)
= 0.1660
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help me, please
. Which rate is about the same as 45 miles per hour?
A. 95 kilometers per hour
B. 72 kilometers per hour
C. 56 kilometers per hour
D. 32 kilometers per hour
Answers
Answer:
Option B.
Hey there!
According to the question,
45 miles per hour is given.
Then;
1 mile = 1.60 km
45 miles = 1.60*45
= 72 km.
Therefore, 45miles is equal to 72 km.
Hope it helps....
(a) Approximating the sum of the series by the fifth partial sum, we have 15 2 35 0367(rounded to four decimal places) According to the remainder estimate in the Remainder Estimate for the Integral Test, we have so the size of the error is at most 0.000400.
Answers
Approximation of the sum of the series using the fifth partial sum is 15.2350, with a maximum error of 0.0004.
A more detailed explanation of the answer.
Student question: Approximating the sum of the series by the fifth partial sum, we have 15 2 35 0367 (rounded to four decimal places). According to the remainder estimate in the Remainder Estimate for the Integral Test, we have so the size of the error is at most 0.000400.
Your answer: To approximate the sum of the series using the fifth partial sum, follow these steps:
Step 1: Calculate the first five terms of the series and add them together.
Step 2: Round the sum to four decimal places, which gives you 15.2350.
Step 3: Use the Remainder Estimate for the Integral Test to find the error bound.
Step 4: The error bound is given to be 0.0004.
So, the approximation of the sum of the series using the fifth partial sum is 15.2350, with a maximum error of 0.0004.
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The table shows the advertised prices of different quantities of DVDs at several discount electronics stores.
A 2-column table with 3 rows. Column 1 is labeled Store with entries Bernie's Bargains, Greg's Giveaways, Stan's Steals. Column 2 is labeled DVD Advertised Prices with entries 6 D V D s for 59 dollars and 70 cents, 10 D V D s for 99 dollars and 70 cents, 8 D V D s for 79 dollars and 68 cents.
How much do 15 DVDs cost at the store with the lowest unit price?
Answers
Answer:
149.25
Step-by-step explanation:
Man I did the question and i got it wrong so after the second time of getting it wrong it gave me the answer.
Three to the sixth power divided by three to the third power
Answers
let's first convert this to number form.
3^6 / 3^3= what?
to divide a number with the same base but different exponent, we simply subtract the second exponent by the first exponent.
3^6 / 3^3 = 3^6-3=3^3
It is estimated that 20 patrons will attend an event for every $100 spent in advertising. If tickets cost $40, how much cana
promoter expect to increase sales if he spends $10,000 in advertising?
ОООО
a) $70,000
b) $80,000
c) $90.000
d) $100,000
Answers
The number of sales a promoter can expect if he spends $10,000 in advertising is $80,000 that is option B.
While going through a word problem like this, read it a few times to comprehend the context without focusing too much on the numbers..... Something along the lines of....
"If a promoter spends money on advertising, he will get more customers."
Short sentences should be used to summarise the content.
$10,000 is spent by the promoter.
"For every $100 spent, 20 new customers are drawn."
"Tickets are $40."
In one calculation this would be:
Using ratio of,
income/expenditure = 800/100 = income/10,000
= 10000 x 20 x 40 / 100
= 80,000
Therefore, the value of sale increase should be $80,000.
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A randomized experiment was conducted in which patients with coronary artery disease either had angioplasty (A) or bypass surgery (B). The accompanying table shows the treatment type and if chest pain occurred over the next 5 yearsA BPain: 111 74No Pain: 402 441Assume we want to test if chest pain was independent of treatment, with α = 0.01.1(a) State the appropriate null and alternative hypothesis. (b) Calculate the test-statistic. (c) Estimate the p-value. (d) Interpret your p-value in terms of the problem. (e) State your decision and conclusion in terms of the problem.Continue with problem. For the following hypotheses, state the appropriate null and alternative (ex : H0 : Pr{pain|B} = Pr{pain|A} would be for independence) and the appropriate range for the p-value.(a) Testing to see if treatment A had a lower proportion of pain reported than treatment B.(b) Testing to see if treatment A had a higher proportion of pain reported than treatment B.
Answers
The appropriate range for the p-value is 0.01 < p-value ≤ 0.05. The appropriate range for the p-value is 0.001 < p-value ≤ 0.01.
What does a p-value of 0.01 * indicate?A P-value of 0.01 implies that, if the null hypothesis is true, any difference in the observed results (or an even greater "more extreme" difference) would occur 1 in 100 (or 1%) of the times the study was repeated. The P-value just provides this information.
The chi-square statistic is the test statistic used to determine if two categorical variables are independent. The equation is:
χ² = Σ[(O - E)²/ E]
Using the data from the table, we get:
χ² = [(111 - 185.3)² / 185.3] + [(402 - 327.7)² / 327.7] + [(74 - 99.7)²/ 99.7] + [(441 - 515.3)² / 515.3] = 16.65
We discover that 6.63 is the essential value. We reject the null hypothesis since our test-statistic of 16.65 is higher than the crucial value.
For the additional hypotheses:
(a) H0: Pr{pain|B} ≤ Pr{pain|A} Ha: Pr{pain|B} > Pr{pain|A}
The appropriate range for the p-value is 0.01 < p-value ≤ 0.05.
(b) H0: Pr{pain|B} ≥ Pr{pain|A} Ha: Pr{pain|B} < Pr{pain|A}
The appropriate range for the p-value is 0.001 < p-value ≤ 0.01.
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a swimming pool in the shape of a rectangular prism has dimensions of 16 feet by 12.5 feet by 5 feet. what is the maximum amount of water that the pool can hold?
Answers
The maximum amount of water that the pool can hold is 1000 cubic feet.
To find the maximum amount of water that the rectangular prism swimming pool can hold, we need to calculate its volume.
The volume of a rectangular prism is given by:
V = l x w x h
where l is the length, w is the width, and h is the height of the prism.
Given the dimensions of the swimming pool, we have:
l = 16 feet
w = 12.5 feet
h = 5 feet
Therefore, the volume of the swimming pool is:
V = l x w x h
V = 16 feet x 12.5 feet x 5 feet
V = 1000 cubic feet
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how many nonnegative integers can be written of the form a7 * 3^7 a2 * 3^6 where ai {1, 0, -1} amc
Answers
The non negative integers can be written of the form is 3281.
Given:
a7 * 3^7 a2 * 3^6 where ai {1, 0, -1}.
ai = 7,6,5,4,3,2,1,0
Total = 8
= \(3^{8}\) = 6561
= 6561 - 1 /2
= 6560/2
= 3280 is negative integers
Non negative or positive integers = 6561 - 3280 = 3281
Therefore the non negative integers can be written of the form is 3281.
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The accompanying data on cube compressive strength (MPa) of concrete specimens appeared in the article "Experimental Study of Recycled Rubber-Filled High- Strength Concrete" (Magazine of Concrete Res., 2009: 549–556):
112.3 97.0 92.7 86.0 102.0 99.2 95.8 103.5 89.0 86.7
Suppose the concrete will be used for a particular application unless there is strong evidence that true average strength is less than 100 MPa. Should the concrete be used? Carry out a test of appropriate hypotheses using the P-value method.
Answers
The p-value (0.040) is less than the significance level of 0.05, we reject the null hypothesis that the true average strength is greater than or equal to 100 MPa.
Define the standard deviation of compressive strength?The standard deviation of the compressive strength is a measure of the variation or spread of the compressive strength values around the mean.
Let's denote the sample mean and sample standard deviation of the compressive strength by x-bar and s, respectively.
Then the test statistic is:
t = (x-bar - 100) / (s /√n)
Here, n = sample size (given, n = 10)
Using the given data, the sample mean and standard deviation:
x-bar = (112.3 + 97.0 + 92.7 + 86.0 + 102.0 + 99.2 + 95.8 + 103.5 + 89.0 + 86.7) / 10 = 96.42
s = √(((112.3-94.2)² + (97.0-94.2)² + ... + (86.7-94.2)²) / 9) = 8.26
So, the test statistic,
t = (96.42 - 100) / (8.3 / √10) = - 1.36
The degrees of freedom for the t-distribution is n - 1 = 9. Using a t-table or calculator, we find that the p-value for a one-tailed test (since we are testing for a decrease in strength) with 9 degrees of freedom and a test statistic of -1.36 is approximately 0.040.
Since the p-value (0.040) is less than the significance level of 0.05, we reject the null hypothesis that the true average strength is greater than or equal to 100 MPa. Therefore, there is evidence to suggest that the true average strength is less than 100 MPa.
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PLZ HELP IF U KNOW 14+points
Drag each tile to the correct box.
Amy, Catherine, and Herb sell Internet advertising. The dot plots show how many companies they sell advertising to per day. Each data set is for 20 days randomly selected from a full year. Arrange the data sets in order from the data that is most spread out to the data that is least spread out.
TILES:
Amy
Herb
Catherine
SEQUENCE:
____>_____>_____
Answers
Answer:
Herb-Catherine-Amy
Step-by-step explanation:
Answer:
Herb-Catherine-Amy
Step-by-step explanation:
Which is the correct label of the parallel lines?(4 points)
Answers
Answer:
1
Step-by-step explanation:
a//b is the correct answer plz add this as brainliest
Answer:
A ll B. hope this helps
Step-by-step explanation:
- Zombie
help help help help jelp jell
Answers
Answer:
71/100
Step-by-step explanation:
NO LINKS A CELL PHONE COMPANY FOUND THAT 20 OF THEIR 150 PHONES WERE DEFECTIVE IN MAY. IF THEY PRODUCED 750 PHONES IN JUNE, HOW MANY WOULD EXPECT TO BE DEECTIVE
Answers
Answer:
100
Step-by-step explanation:
20/150 to get ratio
Ratio*750 to get defective
Answer:
100
Step-by-step explanation:
Ratio:
\( \frac{20}{150} = \frac{}{750} \)
\(150x= 15000\)
\(x = 100\)
y=6x
2x-7y=40
solve by system of subtraction
Answers
Answer:
Step-by-step explanation:
vgfjbm
A small bar of gold measures 20 mm by 250 mm by 2 mm. One cubic millimeter of gold weighs about 0.0005 ounces. Find the volume in cubic millimeters and the weight in ounces of this small bar of gold.
Answers
Answer: v = 40mm * 25mm * 2mm = 2000 mm^3 so, the weight is 2000 mm^3 * .0005oz/1mm^3 = 1oz
Step-by-step explanation:
Which ordered pair is a solution of the equation?
y= 8x + 3
WChoose 1 answer:
А
Only (1, 11)
B
Only (-1,-5)
Both (1, 11) and (-1,-5)
Neither
Answers
Step-by-step explanation:
both (1,11)and (_1,_5)
A painter is going to paint the rooms of a building. The painter has used 80 gallons of paint and has painted 32% of the rooms. How many more gallons of paint does the painter need to finish painting all of the rooms in the building?
The painter needs ______ gallons of paint to finish painting all of the rooms.
Answers
Answer:
30 gallons
Step-by-step explanation:
Work out the area of a rectangle with base,
b
= 26mm and perimeter,
P
= 68mm.
Please help me
Answers
Answer:
208 mm
Step-by-step explanation:
A = Area. P = Perimeter. B = base.
Let's say H = Height
P = 2B + 2H
Now we already know the perimeter is 68 mm, so P = 68:
68 = 2B + 2H
In addition, we know that the base is 26 mm, so B = 26:
68 = 2(26) + 2H
68 = 52 + 2H
16 = 2H ==> subtract 52 on both sides
H = 8 ==> the height of the rectangle is 8 mm
A = B * H
A = 26 * 8 ==> plugin B=26 and H=8 into the Area formula
A = 208 ==> simplified
Hence, the area is 208 mm.
5. 3x = 6. 40x how many time do I need to multiply thee number for them to be the ame
Answers
The equation 3x = 6.4 can be solved for x by dividing both sides of the equation by 3: 3x/3 = 6.4/3; x = 2.13
So, for 3x and 6.4x to be equal, x must be equal to 2.13. This means that you need to multiply the number 6.4 by 2.13 to equal 3. The equation 3x = 6.4 represents the relationship between two variables, x and 3x. We are trying to find the value of x that would make 3x equal to 6.4. To do this, we divide both sides of the equation by 3. Dividing both sides of an equation by the same number does not change the relationship between the variables; it only scales down the variable's value by the same factor.
So, by dividing both sides of the equation by 3, we get:
3x/3 = 6.4/3
x = 2.13
Finally, to make 6.4x equal to 3, we need to divide 6.4 by 2.13: 6.4 / 2.13 = 3. So, we need to multiply 6.4 by 2.13 to equal 3.
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There is a bag with 50 popsicles inside. 5 are red, 15 are orange, 12 are blue, 8 are yellow and 10 are purple. If you were to grab one popsicle from the bag, what is the probability that it is purple or yellow? Enter your answer in simplest form. P(purple or yellow)
Answers
Answer:
yellow is 16% and purple is 20%
Step-by-step explanation: