Do the equations x+y=5 and 5x+ 5y = 10 name the same line?A. The equations are equivalent since the first equation multiplied by 5 equals the second equation.B. The equations are equivalent since the first equation multiplied by 2 equals the second equation.C. The equations are not equivalent since they are not equal to the same number.D. The equations are not equivalent because you cannot multiply either equation by a number to equal the other equation.
Answers
Answer:
\(D\)Explanation:
Here, we want to compare the equation of two lines
Let us take a look at the options:
a) This is incorrect. If we multiplied the first equation by 5, what we should have is equal to 25
b) This is incorrect. If we multiplied through by 2, what we should have is 2x + 2y = 10
c) This is incorrect. What we have on both sides for both equations must differ by a multiple
d) This is correct. There is no way to multiply either equation by a number to equal the other equation.
Related Questions
Write the scale without units: 1 in:9 yd
Answers
Answer:
1:9
Step-by-step explanation:
that's how you write scale
Graph TU with endpoints T(1,2) and U(4,6) and its image after the composition
Answers
TU with endpoints T(1,2) and U(4,6) and its images after the composition are T' = (-1, -1) and U' = (2,3) and T'' = (-3, 7) and U'' = (0,11).
What is the image point?Tradition holds that the reflection of point P across the line, denoted by the word P', is the "image" of point P. (pronounced "P prime").
Given, line TU with endpoints T(1,2) and U(4,6).
To find the translation:
In 1:
Translate TU 2 units left and 3 units down.
That means,
T' = (-1, -1) and U' = (2,3)
In 2:
Translate TU 4 units left and 5 units up.
That means,
T'' = (-3, 7) and U'' = (0,11)
Therefore, the image points are T' = (-1, -1) and U' = (2,3) and T'' = (-3, 7) and U'' = (0,11)
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The stem plot shows the number of sit-ups completed by a group of gym members in one minute. Row1 with a 1 to the left of the bar with a 9 to the right. Row 2 with a 2 to the left of the bar with a 5 to the right. Row 3 with a 3 to the left of the bar with 4, 6, 8, 8 to the right. Row 4 with a 4 to the left of the bar with 0, 3, 6, 7, 7 to the right. Row 5 with a 5 to the left of the bar with 0, 0, 1, 2 to the right. Key: 1|9 = 19 sit-ups Which of the following is a correct statement about the distribution? There is one outlier. The distribution is skewed left. The center is around 47. The distribution is bimodal.
Answers
Answer:
Only statement second is correct about the distribution.
Step-by-step explanation:
The stem plot data given to us is;
1 | 9
2 | 5
3 | 4 6 8 8
4 | 0 3 6 7 7
5 | 0 0 1 2
As it is given in the question that 1 | 9 = 19 sit-ups, so the data value are;
19, 25, 34, 36, 38, 38, 40, 43, 46, 47, 47, 50, 50, 51, 52
(a) The first statement that there is one outlier in the distribution is false as there are two outliers in the data (19 and 25) as they are very far from the rest of the data.
(b) The statement that the distribution is skewed left is correct because the tail of the distribution is towards the left.
(c) The statement that the center is around 47 is false as the center or mean of the data is 43 because the middle most data value is 43.
(d) The statement that the distribution is bimodal is false as there are is three modes in the data (38, 47 and 50), so the given distribution is trimodal.
Answer
it is the first one
explanation
I got it right
On what interval(s) of x is f(x) increasing?
On what interval(s) of x is f(x) decreasing?
Answers
Answer:
Increasing → (-∞, -0.5)
Decreasing → (-0.5, ∞)
Step-by-step explanation:
From the picture attached,
Vertex of the parabola represents the highest point of the curve of a quadratic function 'f'.
Left part from the vertex is increasing and the right side is increasing.
x-coordinates of the vertex,
x = -0.5
Therefore, graph of the function is increasing in the interval (-∞, -0.5)
And decreasing in the interval (-0.5, ∞).
The distance between Reeta's house and her office is 14 km. She covers 10 km 65 m by scooter, 3 km 75 m by bus and the rest on foot. How much distance does she cover by walking?
Answers
Answer:
She covered 0.86 km or 860m by walking.
Step-by-step explanation:
Given:
➮ Distance between Reeta's house and her office is 14km.
She covers 10km 65m by Scooter. Then, 3km 75m by Bus. And rest of distance covered by foot.To Find:
➮ How much distance covered by foot/walking ?
Solution:
To find the distance covered by foot = Total distance - Sum of distance covered through scooter and bus.
Sum of distance covered through scooter and bus:-
As, we know:
• 1km = 1000m
⇒ 10km = 10×1000
= 10000m
⇒ 3km = 3×1000
= 3000m
So, 10000m + 65m ➝ 10065m
3000 + 75m ➝ 3075m
➝ 10065m + 3075m
➝ 13140m
• 13140m into km:-
⇒ 13.14km
Now, Finding the distance covered by walking:
➝ 14km - 13.14km
➝ 0.86km
Hence, She covered 0.86km or 860m by walking.
The valve was tested on 270 engines and the mean pressure was 6.6 lbs/square inch. Assume the variance is known to be 0.49. If the valve was designed to produce a mean pressure of 6.5 lbs/square inch, is there sufficient evidence at the 0.1 level that the valve does not perform to the specifications
Answers
Answer:
\(z=\frac{6.6-6.5}{\frac{0.7}{\sqrt{270}}}=2.347\)
The p value for this case would be given by"
\(p_v =2*P(z>2.347)=0.0189\)
For this case since the p value is higher than the significance level we don't have enough evidence to conclude that the true mean is significantly different from 6.5 lbs/square inch at 10% of significance. So then there is not enough evidence to conclude that the valve does not perform to the specifications
Step-by-step explanation:
Information given
\(\bar X=6.6\) represent the sample mean
\(s=\sqrt{0.49}= 0.7\) represent the population deviation
\(n=270\) sample size
\(\mu_o =6.5\) represent the value that we want to test
\(\alpha=0.1\) represent the significance level
z would represent the statistic
\(p_v\) represent the p value for the test
Hypothesis to verify
We want to verify if the true mean for this case is equal to 6.5 lbs/square inch or not , the system of hypothesis would be:
Null hypothesis:\(\mu= 6.5\)
Alternative hypothesis:\(\mu \neq 6.5\)
The statistic for this case is given by:
\(t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}\) (1)
And replacing we got:
\(z=\frac{6.6-6.5}{\frac{0.7}{\sqrt{270}}}=2.347\)
The p value for this case would be given by"
\(p_v =2*P(z>2.347)=0.0189\)
For this case since the p value is higher than the significance level we don't have enough evidence to conclude that the true mean is significantly different from 6.5 lbs/square inch at 10% of significance. So then there is not enough evidence to conclude that the valve does not perform to the specifications
How do I find GBA and show all the work
Answers
Answer:
Angle ACB = 44°
There are two ways to solve it. Both are right
Solution number 1
From triangle ABC
angle BAC = 180°-(102° +44°) = 36°
Because BG is parallel with AC
Then angle GBA = angle BAC = 34°Another solution
The sum of angles in the shape AGBC = 360°
So angle GBC = 360 - (90 + 90 + 44 + 102) = 34°Solve the equation −12 + x = −16 for x. 4 −4 28 −28
Answers
Answer:
x = -4
Step-by-step explanation:
Solve the equation −12 + x = −16 for x.
−12 + x = −16
add 12 to both sides:
−12 + x + 12 = −16 + 12
x = -4
Jeremy has 3/4 pound of fish food if fish food is used to feed 24 fish how much food is there for each fish
Answers
Answer:
There is 1/32 pound food for each fish
Step-by-step explanation:
24 fish = 3/4 pound food
1 fish = (3/4)/24 pound food = 1/32 pound food
(Problem solved by using unitary method)
A multiple choice test contains 20 questions with answer choices A, B, C and D. Only one answer choice to each question represent correct answer. Find the probability that a student will answer exactly 6 questions correct if he makes random guesses on all 20 questions.
Answers
Answer:
0.1686 = 16.86% probability that a student will answer exactly 6 questions correct if he makes random guesses on all 20 questions.
Step-by-step explanation:
For each question, there are only two possible outcomes. Either the students answer it correctly, or he/she does not. The probability of answering a question correctly is independent of any other question. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
And p is the probability of X happening.
20 questions:
This means that \(n = 20\).
Answer choices are A, B, C and D:
Only one is correct, so \(p = \frac{1}{4} = 0.25\)
Find the probability that a student will answer exactly 6 questions correct if he makes random guesses on all 20 questions.
This is P(X = 6). So
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 6) = C_{20,6}.(0.25)^{6}.(0.75)^{14} = 0.1686\)
0.1686 = 16.86% probability that a student will answer exactly 6 questions correct if he makes random guesses on all 20 questions.
Helpppp
The fox population in a certain region has an annual growth rate of 7 percent per year. It is estimated that the population in the year 2000 was 23600.
(a) Find a function that models the population t years after 2000 (t=0 for 2000).
Your answer is P(t)=-------------
(b) Use the function from part (a) to estimate the fox population in the year 2008.
Your answer is (the answer should be an integer) -------------
Answers
The population of foxes in a certain region is growing at a rate of 7% per year, so the growth factor is 1 + 0.07 = 1.07. To estimate the fox population in 2008, P(8) = 23600 × \((1.07)^8\) ≈ 37463.
How is growth rate estimated?The following formula may be used to calculate the growth rate:
growth rate = \((final value / initial value) ^ (1 / time)\) - 1
where the final value is the value at the conclusion of the period, the starting value is the value at the start of the period, and time is the period's length.
(a) The population of foxes in a certain region is growing at a rate of 7% per year. Therefore, the growth factor is 1 + 0.07 = 1.07. Let P(t) be the fox population t years after 2000. Then, we have:
P(t) = 23600 × \((1.07)^t\)
(b) To estimate the fox population in the year 2008, we need to evaluate P(8), since 2008 is 8 years after 2000.
P(8) = 23600 × \((1.07)^8\) ≈ 37463
Therefore, the estimated fox population in the year 2008 is 37463.
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In the addition problems below A, B, and C are digits. If C is placed in the tens
column instead of the ones column as shown at the right, the sum is 97. What are
the values of A, B, and C?
AB + C = 52
AB+ (C x 10) = 97
Answers
The values of A, B, and C are mathematically given as
A=48/BB=48/AC=5This is further explained below.
What are the values of A, B, and C?Generally, the equation for the statement is mathematically given as
AB + C = 52
AB+ (C x 10) = 97....1
Using the substitution technique we have
AB = 52- C ....2
Subbing 2 in 1
AB+ (C x 10) = 97
Therefore
52- C + 10C = 97
9C=97-52
9C=45
C=5
In conclusion,
AB = 52- C
AB = 52- 5
AB=48
A=48/B
Hence
B=48/A
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An image of a rhombus is shown.
A rhombus with a base of 20 inches and a height of 19.2 inches.
What is the area of the rhombus?
768 cm2
384 cm2
78.4 cm2
39.2 cm2
Answers
The area of the rhombus with a base of 20 cm and a height of 19.2 cm is 384 cm².
What is the area of the rhombus?The area of rhombus is simply the length of base multiply by perpendicular height.
Area = b × h
Given the data in the question;
Base length of the rhombus b = 20cmPerpendicular height h = 19.2cmArea = ?To determine the area of the rhombus, plug the given values into the above formula.
Area = b × h
Area = 20cm × 19.2 cm
Area = 384 cm²
Therefore, the value of the area is 384 cm².
Option B) 384 cm² is the correct answer.
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If AABC= AMNO, then what corresponding angle is congruent to angle N?
Answers
Answer:
.aabc=amn0#1211
Step-by-step explanation:
nosascoOsasco n=12.8
What is the sum? 8+(-12)
Answers
Answer:
-4
Step-by-step explanation:
8+(-12) is the same as 8-12 which is -4. You can also do 12-8=4 and then put a negative in front to get -4.
Answer:
-4
Step-by-step explanation:
Help ASAP plzzzzzzzzzz
Answers
Answer:
what do u need help with
Step-by-step explanation:
there's no picture
A quality control expert at LIFE batteries wants to test their new batteries. The design engineer claims they have a variance of 2916 with a mean life of 518 minutes.
If the claim is true, in a sample of 81 batteries, what is the probability that the mean battery life would be less than 526.4 minutes? Round your answer to four decimal places.
Answers
The probability that the mean battery life would be greater than 526.4 minutes if in a sample of 81 batteries having a variance of, 2916 and a mean life of 518 minutes is 0.0808.
What is probability?The ratio of good outcomes to all possible outcomes of an event is known as probability. A lot of successful results for an experimental with 'n' results can be represented by the symbol x.
Given:
The variance = 2916,
The mean life of a battery, m = 518 min,
The total number of samples, n = 81
Calculate the probability of a mean battery life of lower than 526.4 minutes by the following formula,
z = x - m / (σ / √ n)
Here, x is the expected value, σ is the deviation, and z is the probability.
Substitute the values,
z = 526.4 - 518 / (54 / √81) [σ = √ variance = √2916 = 54]
z = 1.4
Consult the cumulative standard normal table
P (z < 526.4) = 0.9192,
But we know that
P (z > 526.4) = 1 - P (z < 526.4)
P (z > 526.4) = 1 - 0.9192 = 0.0808
Therefore, The probability that the mean battery life would be greater than 526.4 minutes if in a sample of 81 batteries having a variance of, 2916 and a mean life of 518 minutes is 0.0808.
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To estimate the mean height of female high school juniors, you take a
random sample of 30 female students and get these results (in inches):
72,51, 67, 68, 61, 69, 58, 56, 60, 56
66, 61, 60, 59, 59, 54, 58, 53, 68, 63
57, 62, 63, 64, 56, 62, 58, 67, 57, 70
If the o is 5.3, based on past research, and you want to construct a 97%
confidence interval using (estimate) + (margin of error)= (estimate)
what's your point estimate of ?
A. 30
B. 5.4
C. 65
D. 61.17
Answers
Answer:
61.16667 ; (58.958, 63.375)
Step-by-step explanation:
Given the data :
72,51, 67, 68, 61, 69, 58, 56, 60, 56, 66, 61, 60, 59, 59, 54, 58, 53, 68, 63, 57, 62, 63, 64, 56, 62, 58, 67, 57, 70
Standard deviation, σ = 5.3
Sample size, n = 30
The point estimate of the population mean:
Mean, m = Σx/n
Σx = 1835 ; n = 30
m = 1835 / 30
m = 61.16667
Confidence interval :
m ± Tn-1,α/2 * σ/sqrt(n)
61.16667 ± T30-1,0.03/2 * 5.3/sqrt(30)
61.16667 ± T29,0.015 * (5.3/sqrt(30))
61.16667 ± 2.282175 * (0.9676431)
Lower bound = 61.16667 - 2.20833 = 58.95834
Upper bound = 61.16667 + 2.20833 = 63.375
(58.958, 63.375)
The 10 passengers on a small airplane have paid a total of $1,580 for the flight.
If an economy ticket cost $135 and a first-class ticket costs $250 , how many economy tickets were bought?
Answers
Answer:
8 people bought economy and 2 bought first class
Step-by-step explanation:
there are 10 person and total is 1580 so 250+ 9(135)=1460 which is wrong so we gonna try adding 2(250) and 8(135) which got us 1580
An Internet company located in Southern California has season tickets to the Los Angeles Lakers basketball games. The company president always invites one of the seven vice presidents to attend games with him, and claims he selects the person to attend at random. One of the seven vice presidents has not been invited to attend any of the last four Lakers home games. What is the likelihood this could be due to chance
Answers
Answer:
0.5398
Step-by-step explanation:
Given that :
Total possible numbers vice presidents invited = 7
Required number of vice presidents invited = 1
Probability that a certain vice president is invited ;
P(a certain V. P is invited) = required outcome / Total possible outcomes
P(a certain V. P is invited) = 1/ 7
P(1 of the V. P's hasn't been invited to attend any of the last 4 games)
Then ; it means any of the remaining (7 - 1) = 6 has been invited ;
Hence,
P(1 of the V. P's hasn't been invited to attend any of the last 4 games) = ((7-1) / 7)^4
Likelihood that it could be due to chance :
(6/7)^4 = 0.5397750
= 0.5398
What is the mode of this data set?
{4, 15, 6, 11, 7, 4, 3, 14}
Answers
Answer:
4
Step-by-step explanation:
A mode is the number having the highest frequency, that is, the number which occurs the most times. (The number which occurs the most here is 4, there are two 4s. You only have one of the rest of the numbers.)
Find the percent increase. From $5.00 to $9.00
Answers
S1. Three numbers are in the ratio of 2:3:4. The sum of their cubes is 3,34,125. Find the numbers.
Answers
Answer:
Step-by-step explanation:
sum of their cubes=0.334125
The ratio of three numbers is 2:3:4.
Let the numbers be 2x, 3x and 4x.
Cubes of numbers = (2x)^3, (3x)^3, (4x)^3 = 8x^3, 27x^3, 64x^3
(8x^3) + (27x^3) + (64x^3) = 99x^3
99x^3 = 0.334125
x^3 = (0.334125) / 99
x^3 = 0.003375
x^3 = (0.15)^3
x = 0.15
Therefore, the numbers are (2 x 0.15), (3 x 0.15) and (4 x 0.15) i.e. 0.3, 0.45 and 0.6
what numbers do you multiply to find 900 this partical product
Answers
You mean square root of 900?
I gotcha covered
30
Katia placed the rest of the stickers on pages 2 and 3 of her scrapbook, as
shown below
Complete the expression below to represent the total number of stickers on
pages 2 and3
Answers
The expression can be completed as 4 × (4 + 3)
How to complete the expression?A mathematical expression is a combination of numbers, symbols, and operations that represent a mathematical relationship or calculation.
Mathematical expressions can be used to represent a wide range of concepts, including algebraic equations, geometric formulas, and statistical models.
Looking at the pages:
On page 2, we have 4 stickers per row while on page 3 we have 3 stickers per row. Also, both page 2 and page 3 have 4 rows each. Thus, we can complete the expression as follows:
4 × (4 + 3)
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Pls help with math pls will give brainlest due soon
Answers
Find the perimeter and the area of the polygon with the given vertices (0,2),(5,2),(5,5),(0,5)
Answers
To find area: look at image. answer is 30 units
Simplify i^7/i x i^3
A. i^4
B.i^11
C.i^3
D. 1
Answers
Answer:
c.i^ 3
Step-by-step explanation:
i^7/i x i^3
i ^ 7 / i ^ 4
i^ 7 - 4
i^ 3
3. A rectangular room measures 18 feet by 24 feet. Carpeting for the floor costs $52 per square y
What is the total price to carpet this floor?
Answers
Answer:
$2496
Step-by-step explanation:
You want to know the cost of carpeting a 18 ft by 24 ft room with carpet that costs $52 per square yard.
AreaThe dimensions of the room in yards are (18 ft)/(3 ft/yd) = 6 yd, by (24 ft)/(3 ft/yd) = 8 yd.
In square yards, the area is ...
(6 yd)(8 yd) = 48 yd²
CostThe cost of one square yard of carpet is $52, so the cost of 48 square yards will be 48 times as much.
(48 yd²)($52/yd²) = $(48·52) = $2496
The total price to carpet the floor is $2496.
__
Additional comment
We're reluctant to call this the total price, as there are usually additional charges for tax, carpet pad, delivery, installation, removal and disposal of old flooring, and possibly additional materials such as tack strips or thresholds. Repairing mold or water damage, or leveling the floor, can also add cost.
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what is 73 division 84,649
Answers
73 division 84, 649 would give 8. 64 × 10^-4
How to determine the valueIn order to determine the value of the division, we have
= \(\frac{73}{84649}\)
Using the calculator, put the values in
We would have
= 8. 64 × 10^-4
Thus, 73 division 84, 649 would give 8. 64 × 10^-4
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