Answers
Answer:
Infinite solutions
Step-by-step explanation:
A linear equation is given to us and we need to tell the no. of solutions. The equation is ,
=> -2-5x = - ( 5x +2)
If we look at RHS , negative sign is present outside the brackets .On opening the brackets , we have ,
=> -(5x) -(+2)
=> -5x -2
=> -2 - 5x
This is similar to LHS and hence they will represent same line . Hence they will have infinitely many solutions .
They have infinitely many solutions .Related Questions
An auto assemply worker requires 4 electrical fuses for each vehicle. The supplier of the fuses has informed the plant manager that 5% of all the fuses they produce are defective. Assume that the assembly worker selects the 4 fuses for any vehicle at random and independently of each other. If 2 assembled vehicles are selected at random and independently of one another, what is the probability that both vehicles will have all defective fuses
Answers
Answer:
[tex]3.9 \times 10^{-11}[/tex] probability that both vehicles will have all defective fuses
Step-by-step explanation:
For each fuse, there are only two possible outcomes. Either they are defective, or they are not. The probability of a fuse being defective is independent of any other fuse. 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.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Probability of a vehicle having all defective fuses:
5% of fuses are defective, which means that [tex]p = 0.05[/tex]
A vehicle has 4 fuses, which means that [tex]n = 4[/tex].
This probability is P(X = 4). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{4,4}.(0.05)^{4}.(0.95)^{0} = 0.00000625[/tex]
If 2 assembled vehicles are selected at random and independently of one another, what is the probability that both vehicles will have all defective fuses?
For each vehicle, 0.00000625 probability of having all defective fuses. For 2:
[tex](0.00000625)^2 = 3.9 \times 10^{-11}[/tex]
[tex]3.9 \times 10^{-11}[/tex] probability that both vehicles will have all defective fuses
HELP PLEASEEE
A bucket contains stones and seashells. There are 18 seashells in the bucket and the ratio of stones to seashells is 2 to 1. Find the number of stones in the bucket.
Answers
Using proportions, it is found that the number of stones in the bucket is of 36.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, there are 18 seashells, and the ratio means that for each seashell, there are 2 stones, hence:
S = 18 x 2 = 36.
The number of stones in the bucket is of 36.
More can be learned about proportions at https://brainly.com/question/24372153
Solve the following equation for x 2log: 2x = 2 Describe what method you used to solve the problem and why?
Answers
Answer:
look at the picture i sent
pls answer ill mark brainlist in the screenie
Answers
Answer:
the green socks are cheaper than the orange
Step-by-step explanation:
common maths
Answer:
Green socks graph: 3-5, 6-10, 9-15, 12-20, 15-25
Orange socks graph: 5-9, 10-18, 15-27, 20-36, 25-45
Green socks are cheaper
Step-by-step explanation:
Find the inverse function.
Answers
(x-1)^3
Please correct me if i am wrong.
What is the constant of proportionality for the table below?
Answers
Answer:
Equation:y = 1/2x . or x = 2y
Constant = 2
Step-by-step explanation:
Input y = output x
the first input/output says that when inputed 2, the number 1 is outputted.
Similarly, when 5 is inputted, 2.5 is the output.
1/2 = 2.5/5
That means that y = 1/2 x
or x = 2y
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Can someone answer this please
Answers
Answer:
Blue
Step-by-step explanation:
A straight line has an angle of 180 on each side.
5a+18+24-a+8a-30=180
12a+12=180
12a=168
a=14
Green: 14x5+18=88
Blue:24-14=10
Yellow:8x14-30=82
Mr. Harris had 35 players try out for the softball
team, but he cut some players from the team.
By the end of tryouts, the team still had more
than 25 players. (Use p as a variable.)
Answers
Answer:
35-P=25
Step-by-step explanation:
P= Number of players he cut
Convert x^2+ (y + 8)^2= 64 to a polar equation that
expresses r in terms of theta.
Answers
Answer:
their graphed
Step-by-step explanation:
HELP!!! WILL GIVE BRAINLIEST +LIKE AND 5 STARS ANSWER THE QUESTION IN THE PICTURE
Answers
Answer:
b, c , a
Step-by-step explanation:
I am guessing
Answer:
B, C, D
Step-by-step explanation:
Formula to convert 220 oz to grams
Answers
Answer:
For an approximate result, multiply the mass value by 28.35
Which of the following ordered pairs lies on the graph of y= tanx?
Answers
Answer: A/ first answer
Step-by-step explanation: it is that beacause it is paired to y=tanx
Two squares were used to form a figure. The side length of each square is shown.
8 m
What is the area of the part of the figure that is NOT shaded?
F 80 m2
G 16 m
H8 m2
J 48 m²
Answers
Answer:
i think the area if shadded region is 16m
Need help quick thank you in advance
Answers
Answer:
eeeerrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrm i have no idea
Step-by-step explanation:
#1
Solving for x only
[tex]\\ \sf\Rrightarrow x+90+55=180[/tex](Linear pair
[tex]\\ \sf\Rrightarrow x+145=180[/tex]
[tex]\\ \sf\Rrightarrow x=35°[/tex]
#2
[tex]\\ \sf\Rrightarrow x+32=90[/tex]
[tex]\\ \sf\Rrightarrow x=90-32=58°[/tex]
And
[tex]\\ \sf\Rrightarrow y+x=90°[/tex]
[tex]\\ \sf\Rrightarrow y=90-58=32°[/tex]
If 50 students were surveyed about their after-school sports, how many students play soccer?
Answers
Answer:
15
Step-by-step explanation:
30% is equal to 0.3 as a proportion
Multiply 50 by 0.3 to get the number of students who play soccer.
50 X 0.3 = 15
Answer:
15
Step-by-step explanation:
football and track =50% =25 students
20% of 50 is =10 students then 25 +10 =35-50=15 students which is how many plays soccer
Triangle has vertices A(-1, 3), B(-2, 1), and C(0, 4). If the triangle is reflected over the y-axis, what are the coordinates of A'?
Answers
Answer: A’ (1, 3)
Step-by-step explanation:
Reflecting in the y-axis will only reverse the x values
A list of numbers is shown; 1 2 3 4 5 6 7 8 9 10
what is the median
A.2
B.4
C.9
D.10
Answers
Answer:
5.5
Step-by-step explanation:
We have a list of 10 numbers (n = 10) ordered from lower to higher.
1 2 3 4 5 6 7 8 9 10
The median is the value separating the higher half from the lower half of a data sample. Since n is even, there is no middle value and the median is defined as the mean between the two middle values, in this case, 5 and 6. Then,
median = 5 + 6 / 2 = 5.5
Hyo spent $48.84 for a gold-plated trophy that costs $37 per pound. How much did the trophy weigh?
Answers
Does x+ y < -4 have a solution?
Answers
Answer:
infinite solutions :)
Step-by-step explanation:
infinity solutions, there is infininte possibilitys.
One radius of a circle is the same length as any other radius of the same
circle.
A. True
B. False
Answers
A. True
In a circle, all radii have the same length. The radius is the distance from the center of the circle to any point on its circumference. Since the center is equidistant from all points on the circumference, all radii will have the same length. Therefore, the statement is true.
Recent research commissioned by Vodafone suggests that older workers are the happiest employees (BBC News, July 21, 2008). The report documents that 70% of older workers in England feel fulfilled, compared with just 50% of younger workers. A demographer believes that an identical pattern does not exist in Asia. A survey of 120 older workers in Asia finds that 75 feel fulfilled. A similar survey finds that 58% of 210 younger workers feel fulfilled.
At a 5% level of significance, test if older workers in Asia feel less fulfilled than their British counterparts.
a-1. Select the null and the alternative hypotheses.
H0: p ≥ 0.70; HA: p < 0.70
H0: p = 0.70; HA: p ≠ 0.70
H0: p ≤ 0.70; HA: p > 0.70
a-2. Calculate the sample proportion. (Round your answer to 3 decimal places.)
Sample proportion
a-3. Calculate the value of test statistic. (Negative value should be indicated by a minus sign. Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)
Test statistic
a-4. Calculate the p-value of the test statistic.(Round your intermediate calculations to 4 decimal places. Round "z" value to 2 decimal places and final answer to 4 decimal places.)
p-value
a-5. What is the conclusion?
Older workers in Asia feel less fulfilled
Older workers in Asia do not feel less fulfilled
At a 5% level of significance, test if younger workers in Asia feel more fulfilled than their British counterparts.
b-1. Select the null and the alternative hypotheses.
H0: p = 0.50; HA: p ≠ 0.50
H0: p ≥ 0.50; HA: p < 0.50
H0: p ≤ 0.50; HA: p > 0.50
b-2. Calculate the sample proportion. (Round your answer to 2 decimal places.)
Sample proportion
b-3. Calculate the value of test statistic. (Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)
Test statistic
b-4. Calculate the p-value of the test statistic.(Round your intermediate calculations to 4 decimal places. Round "z" value to 2 decimal places and final answer to 4 decimal places.)
p-value
b-5. What is the conclusion?
Younger workers in Asia feel more fulfilled
Younger workers in Asia do not feel more fulfilled
Answers
Answer:
H0: p ≥ 0.70; HA: p < 0.70
Sample proportion = 0.625
Test statistic = -1.79
Pvalue = 0.0367
Older workers in Asia feel less fulfilled
B.)
H0: p ≤ 0.50; HA: p > 0.50
0.58
2.35
0.0094
younger workers in Asia feel more fulfilled
Step-by-step explanation:
1.)
H0: p ≥ 0.70;
HA: p < 0.70
The test statistic :
(Phat - p) /sqrt(p(1-p)/n)
Phat = x / n = 75/120 = 0.625
1 - p = 1 - 0.7 = 0.3
(0.625-0.70) / sqrt(0.7*0.3/120)
-0.075 / 0.0418330
= - 1.79
Pvalue FROM Zscore calculator :
Pvalue = 0.0367
α = 5% = 0.05
Pvalue < α ; Reject then Null and conclude older workers in Asia feel less fulfilled than their British counterparts.
B.)
H0: p ≤ 0.50; HA: p > 0.50
Sample proportion, phat = 58% = 0.58
The test statistic :
(Phat - p) /sqrt(p(1-p)/n)
(0.58 - 0.50) / sqrt(0.58*0.42)/210)
0.08 / 0.0340587
Test statistic = 2.35
Pvalue FROM Zscore calculator :
Pvalue = 0.0094
α = 5% = 0.05
Pvalue < α ; Reject then Null and conclude younger workers in Asia feel more fulfilled than their British counterparts
A circle has a diameter of 10cm. Find the Area of this circle. Use 3.14 for Pi.
Answers
Step-by-step explanation:
to find area
A = Pi x r^2
r = d/2 = 10/2 = 5
In the diagram above z1 =2x+20 and z2 =3x+10. Find the measure of z1.
Answers
Answer:
40
Step-by-step explanation:
Angle 1 and 2 are alternate angles
Then they are equal
2x+20=3x+10
Solve for x
X=10
Then 2 (10)+20 =40
Use Euler's formula to find the missing number.
Vertices: 13
Edges: 26
Faces: ?
A.14
B.15
C.16
D.17
Answers
Answer:
15
Step-by-step explanation:
trust me bro
A fair die is cast four times. Calculate
the probability of obtaining exactly two
6's.
Round to the nearest tenth of a
percent.
[ ? ]%
Answers
Step-by-step explanation:
You can solve this using the binomial probability formula.The fact that "obtaining at least two 6s" requires you to include cases where you would get three and four 6s as well.Then, we can set the equation as follows: P(X≥x) = ∑(k=x to n) C(n k) p^k q^(n-k) n=4, x=2, k=2when x=2 (4 2)(1/6)^2(5/6)^4-2 = 0.1157when x=3 (4 3)(1/6)^3(5/6)^4-3 = 0.0154when x=4 (4 4)(1/6)^4(5/6)^4-4 = 0.0008Add them up, and you should get 0.1319 or 13.2% (rounded to the nearest tenth)14. What is the length of a diagonal of rectangle EFGH? Show your work
Answers
Answer:
The length of the diagonal of the rectangle is of [tex]\sqrt{58}[/tex] units.
Step-by-step explanation:
Pythagorean theorem:
The square of the hypothenuse h is equal to the sum of the squares of sides a and b, that is:
[tex]h^2 = a^2 + b^2[/tex]
Diagonal of a rectangle:
The diagonal is the hypothenuse, while the sides are a and b.
In this question:
The height has coordinates are y = 9 and y = 12, so the height is [tex]a = 12 - 9 = 3[/tex]
The length has coordinates at [tex]x = -6, x = -13[/tex], so the length is [tex]b = -6 - (-13) = 7[/tex]
Diagonal:
[tex]d^2 = a^2 + b^2[/tex]
[tex]d^2 = 3^2 + 7^2[/tex]
[tex]d^2 = 9 + 49[/tex]
[tex]d^2 = 58[/tex]
[tex]d = \sqrt{58}[/tex]
The length of the diagonal of the rectangle is of [tex]\sqrt{58}[/tex] units.
find the principle of money if intrest in 3 years with 5 percent per annum is rs 300
Answers
Answer:
HI from Nepal
Answer:
let principal be x
interest =Rs300
time=3 years
rate=5%
To find principal use formula,
Interest=P*T*R/100
Rs300=x*3*5/100
Rs300*100=15x
Rs30000=15x
Rs30000/15=x
Rs2000=x
Step-by-step explanation:
therefore principal=Rs 2000
Solve for z 7-√3z+2=4 What is the root? If there is no root, choose none. z = 7/3 z = 11/3 none
Answers
Answer:
Desmos is Function Calculator is a great tool for this, the correct answer is z= 7/3
7/3= 2.333~ and so √(3*2.333~) + 2= 2.9999999833333~
Now 7- 2.9999999833333~= 4.0000000166667~ but I don't know the true infinate sign for this so thats why my numbers look a little weird, just plug (7/3) in for z and you will get 4, trust me
Step-by-step explanation:
MRK ME BRAINLIEST PLZZZZZZZZZZZZZZZZZZz
help with Inscribed angles!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
x = 30°
x = 80°
Step-by-step explanation:
Recall: an inscribed angle is half the measure of the intercepted arc
Thus:
x = ½(arc cb)
Substitute
x = ½(60)
x = 30°
x = ½(arc ab)
Substitute
x = ½(160)
x = 80°
dont give me files. answer on here only.
Answers
Answer:
Look at the image.
Step-by-step explanation: