Answer:
dependent
Step-by-step explanation:
[tex]6x - 2y = - 12 \\ 2y = 6x + 12 \\ y = 3x + 6[/tex]
as you can see it's equal to the first equation.
then those two lines are the same!
means dependent.
A flask contains 12% acid solution and the remaining volume is water. If the flask is 8.52 inches high and the diameter is 3.71 inches. What percent of the mixture by volume is water?
Answer:
Percent of water in the mixture=88%
Which is 81.07 square inches of the total volume
Step-by-step explanation:
Volume of the flask=πr^2h
π=3.142
radius=diameter/2
=3.71/2
=1.855
height=8.52 inches
Volume of the flask=πr^2h
=3.142*(1.855)^2*8.52
=3.142*3.441025*8.52
=92.115688686
Approximately 92.12 square inches
Flask contains 12% acid solution and the remaining volume is water
Percentage of water =Total percentage - acid solution percentage
=100%-12%
=88%
Percentage of Water =88%
Percentage of the mixture by volume is water=88% of the total volume
=88/100*92.12
=81.0656 square inches
Approximately 81.07 square inches
After two weeks of hard work at Sweet Sundae Ice Cream Shop, Zack finally got his first paycheck! He deposited $120.00 into his savings account. Then, he put the remaining $56.74 in his checking account. Let p represent how much money Zack got paid. Which equation models the problem? p + 56.74 = 120.00 or p - 120.00 = 56.74 4) Solve this equation to find how much money Zack got paid.
Answer:
p - 120.00 = 56.74; p = $176.74.
Step-by-step explanation:
Out of the two equations, p - 120.00 = 56.74 would make the most sense. That is because it means that his paycheck minus the 120 that he deposited into savings is equal to the remaining balance.
We solve p - 120.00 = 56.74 by adding 120 to both sides.
p - 120 + 120 = 56.74 + 120
p = 176.74.
So, Zack got paid $176.74. That's a lot of money!
Hope this helps!
Students in an introductory statistics course were asked the following questions as part of a class survey:(1) What is your gender, male or female?(2) On average, how many hours of sleep do you get per night?(3) What is your bedtime: 8pm-10pm, 10pm-12am, 12am-2am, later than 2am?(4) How many countries have you visited?(5) On a scale of 1 (very little) - 5 (a lot), how much do you dread this semester? Identify the variables in the survey. Classify each variable as numerical or categorical. For each numerical variable, identify whether it is continuous or discrete. For each categorical variable, identify whether it is nominal or ordinal.
Answers:
Gender = categorical, nominal variable
Sleep length = numerical, continuous
Bedtime = categorical, ordinal
Number of countries visited = numerical, discrete
Scale of dreading semester = categorical, ordinal
=========================
Explanation:
Gender is categorical because there are two categories or labels, male or female. It is nominal because we simply attach names to each label and we can't sort them or order them from highest to lowest. There is no ranking for gender.
Sleep length is numerical as it deals with numbers. I put continuous because someone could write 2.5 hours or 3.75 hours. If whole numbers are only allowed, then the variable would be discrete.
The bedtime portion is categorical as each time slot is a category. Like with the first part, they are simply labels. We can order them however from earliest to later on, which is why this variable is ordinal.
The number of countries visited is numeric as expected, and it's also discrete because we can't visit 0.1 of a country. By "visit", I mean step foot in any part of the country for any length of time. It does not mean you have to explore every square inch of the territory.
The last part is categorical and ordinal. The scale ranking is ordered for us from 1 to 5. Despite the fact we have numbers here, the data is not numerical as the numbers 1 through 5 represent labels of "very little" through "a lot".
Construct a perpendicular bisector to AB
Answer:
look below:
Step-by-step explanation:
Answer: See attachment - hopeful it helps -
I will update post once I get it back --
Step-by-step explanation: Kindly give me brainly :)
Read the following two statements. Then, if possible, use the Law of Detachment to draw a conclusion. If two figures are congruent, their areas are equal. The area of ABCD equals the area of PQRS. I will make you a brainllest
Answer:
not possible
Step-by-step explanation:
The Law of Detachment is:
If p, then q. p is true. We can then conclude q is true.
For example:
If it rains, the grass gets wet. It is raining. Then the grass is wet.
In the problem in this post, it is not possible to use the Law of Detachment because we have:
If p then q. q is true. We are not told p is true, so we cannot conclude q is true.
Answer: not possible
Find x please help thank you
Answer: x=(7√6)/2
Step-by-step explanation:
To find x, we would have to find the hypotenuse of the 45-45-90 triangle. First, we would have to find the hypotenuse by using the 30-60-90 triangle on top to find it.
For a 30-60-90 triangle, the hypotenuse is 2x in length. the x is the same in all sides. All you would have to do is to plug it in. The leg opposite of 60° is x√3 in length. the leg opposite of 30° is x in length.
Since we know that 7 is opposite of the 30° angle, we know that x is 7. Across fron 60° is the hypotenuse of the 45-45-90 triangle. That leg is x√3. We plug in x=7 and get 7√3.
The hypotenuse of the 45-45-90 triangle is x√2 and the legs are both x. We can set 7√3 equal to x√2 to find x of the missing side.
7√3=x√2 [divide both sides by √2]
x=(7√6)/2
Now, we know x=(7√6)/2.
AC=4, AE=7, AD=10, what is the length of AB?
A: 1 3/7
B: 2 1/2
C: 5 5/7
D: 17 1/2
Answer:
C. [tex] AB = 5\frac{5}{7} [/tex]
Step-by-step explanation:
When two polygons are considered similar, the ratio of their corresponding sides would also be equal.
Since ∆ABC and ∆ADE are similar, [tex] \frac{AE}{AC} = \frac{AD}{AB} [/tex]
[tex] \frac{7}{4} = \frac{10}{AB} [/tex]
Cross multiply
[tex] 7*AB = 10*4 [/tex]
[tex] 7*AB = 40 [/tex]
Divide both sides by 7 to find AB
[tex] \frac{7*AB}{7} = \frac{40}{7} [/tex]
[tex] AB = \frac{40}{7} [/tex]
[tex] AB = 5\frac{5}{7} [/tex]
Write an equation in point-slope form for each line (If possible please show work)
Answer: y-2=1/4(x-1)
Step-by-step explanation:
The formula for point-slope is y-y₁=m(x-x₁). Since we are given the slope m, we can fill that in. We are also given the point (x₁,y₁). We can also fill that in.
y-2=1/4(x-1)
Which equation represents a circle that contains the point (-5, -3) and has a center at (-2, 1)?
Distance formule: (x2 - x1)2 +(y2-y1)2
(x-1)2 + (y + 2)2= 25
(x + 2)2 + (y - 1)2=5
(x + 2)2+(y - 1)2 = 25
(X - 1)2 + (y + 2)2=5
Answer:
(x + 2)^2 + (y - 1)^2 = 25.
Step-by-step explanation:
The centre is at (-2, 1) so the equation is:
(x + 2)^2 + (y - 1)^2 = r^2 where r is the radius.
The radius is the distance from the centre to the point (-5, -3).
Using the distance formula:
r = √ [(-3- 1)^2 + (-5 - -2)^2]
and r^2 = (-3- 1)^2 + (-5 - -2)^2
= (-4)^2 + (-3)^2
= 16 + 9
= 25.
30.10
A bag contains 4 red marbles, 3 a bag contains 4 red marbles, 3blue marbles, and 7 green marbles. If a marble is randomly selected from the bag,
find the probability that a blue marble will be drawn
Answer:
4/21
Step-by-step explanation:
It should be a porpotion
write the coordinate point for the vertex of this parabola x=-1/8y^2
Answer:
(0,0)
Step-by-step explanation:
x = -⅛y²
The equation exchanges x and y, so this is a sideways parabola.
It opens to the left because the coefficient of y² is negative.
The vertex form of a sideways parabola with its vertex at (h, k) is:
x = a(y – k)² + h
Your equation is
x = -⅛(y - 0)² + 0
By comparing the two equations, we find that
h = 0; k = 0.
The vertex is at (0, 0).
The Figure shows your parabola with its vertex at (0,0).
Answer:
(0,0)
Step-by-step explanation:
According to the graph, what is the solution to this system of equations?
(2,3)
(3, 2)
(-1, 4)
(4, -1)
-28=7(x-7) What does x=
Answer:
so x=3
Step-by-step explanation:
-28=7(x-7)
opening the brackets by multiplying
-28=7x-49
adding 49 on both sides
-28+49=7x-49+49
21=7x
dividing 7 on both sides
21/7=7x/7
x=3
i hope this will help you :)
Answer:
-28=7(x-7)
First expand the terms on the right side
That is
-28 = 7x - 49
Group like terms
7x = -28 + 49
7x = 21
Divide both sides by 7
7x/7 = 21 /7
x = 3
Hope this helps
The number of deaths by road as recorded in a country is 2 per 50,000 of the population. Find the probability that in a town of 100,000 inhabitants within the country (a). between one and three inclusive, and (b). between two and five deaths by road will be recorded.
Answer:
(a) 0.635
(b) 0.498
Step-by-step explanation:
(a) The probability distribution is calculated using the cumulative distribution function of the Poisson as follows;
CDF = [tex]F(x)=e^{-\lambda t}\sum_{i = 0}^{\left | x \right |}\dfrac{\lambda t^{i}}{i!}[/tex]
For x = three we have;
CDF = 0.781
For x = one we have;
CDF = 0.1465
Therefore, the probability that between one and three inclusive = 0.781 - 0.1465 = 0.635
(b) For x = 2 we have;
CDF = 0.4395
For x = one we have;
CDF = 0.9378
Therefore, the probability that between one and three inclusive = 0.9378- 0.4395= 0.498
Please helppppp meeeeee it would mean the worlddddd
Answer:
x = 7.5
Step-by-step explanation:
(10,16) and (-28, -16)
What is the midpoint of a segment
with the endpoints shown to the
left?
(-18, 0)
(-9, 2)
(19,16)
(-9,0)

Answer:
(-9, 0)
Step-by-step explanation:
To find the midpoint of the segment, we use the mathematical formula below;
(x,y) = {(x1+x2)/2 , (y1+y2)/2}
From the question;
(x1,y1) = (10,16)
(x2,y2) = (-28,-16)
Substituting these values into the equation we wrote above, we have;
(x,y) = (10-28)/2 , (16-16)/2
(x,y) = (-18/2, 0/2) = (-9,0)
The diagram shows an empty tank in the shape of a horizontal prism of length 150 cm.
The cross section of the prisin is an isosceles trapezium ABCD.
AB= 50cm, CD- 70 cm and the vertical height of the trapezium is 40 cm.
(0) Calculate the volume of the tank. it is a math question
Answer:
2400
Step-by-step explanation:
Area of a trapezoid: (b₁ + b₂) / 2 * h
= (70 + 50) / 2 * 40
= 60 * 40 = 2400
The owner of a music store gathered data from several schools about the number of students in their concert and marching bands. The
scatter plot shows the data she gathered and the line of best fit.
Answer:
25 students
Step-by-step explanation:
Using the line of best fit, we want to deduce the number of students predicted to be in the marching band given that there are 35 in the concert band.
To deduce this, what we need to do is to go to the point where we have 35 on the concert band axis i.e the x-axis, then trace it upto the line of best fit.
Then from the line of best fit, now trace to the y-axis.
This gives an answer 25.
Using the distance formula, find the distance between two points. (6, 0) (-5, 4)
Answer:
11.7046999
Step-by-step explanation:
using the distance formula (d=√(x₂ -x₁)² + (y₂-y₁)²), we can plug in the two points to find the distance between them:
d=√(6-(-5)² + (0-4)²
d=√(11)²+ (-4)²
d=√121+16
d=√137
d approximately equal to (≈) 11.7046999 or 11.7 or 11
In the equation, C = 8n + 25, C represents amount of money raised and n represents the number of pledges. How many pledges are needed to raise $850?
Answer:
103 pledges
Step-by-step explanation:
The equation we have here is;
C = 8n + 25
Now we need to find n given that c is $850
simply substitute for the value of c in the question
850 = 8n + 25
850-25 = 8n
825 = 8n
n = 825/8
n = 103.125
But since a pledge cannot be fractional, we can say that n = 103
URGENT I NEED THIS DONE PLEASE ILL GIVE THE FIRST ANSWER BRAINLIEST Charles begins finding the volume of a trapezoidal prism using the formula A = One-half(b1 + b2)h to find the prism's base area. Charles's work: A = ((x + 4) + (x + 2))x A = (2x + 6)x A = (x + 3)x A = x2 + 3x Which expression can be used to represent the volume of the trapezoidal prism? A. 2x3 + 6x2 B. x3 + 6x2 C. x3 + 3x2 D. 2x3 + 3x2
Answer:
2x3 + 6x2
Step-by-step explanation:
Answer:
A on edge
Step-by-step explanation:
Please help emergency and add explanation too pleaSE
Answer:
1
Step-by-step explanation:
Change 1/2 to 0.5. Then, do the problem of 0.75-0.25+0.5.
Step-by-step explanation:
is your answer mate ......
Help please! THANK YOU!
Answer:
4
Step-by-step explanation:
1-(-3)=4
rise is 4
Answer:
It is 4 units. You can count how many units the bottom (horizontally) of the blue triangle is to get the run.
One sprinter has a stride of 120cm, another 75cm. How many steps do they each take if they run a 100m race?
Answer:
1m = 100 cm
First sprinter stride is 120 cm. Steps he will take
= 100/1.2 = 83 1/3 steps
Second sprinter takes a stride of 75 cm
= 100/0.75 = 133 1/3 steps
If a vehicle travels 25x miles in 2 hours, what is the vehicle's average speed, in miles per hour.
Given that a vehicle travels 25 miles in 2 hours, determine the average speed of the vehicle in miles per hour.
Work:
In order to find the average mph of the vehicle, you have to divide the distance the vehicle travels in a certain period of time by that amount of time.
So, in this case, the vehicle traveled 25 miles in 2 hours, so you would divide 25 by 2.
25/2 = 12.5
That means, the vehicle is traveling at a speed of 12.5 mph.
Thus, the average speed of the vehicle is 12.5 miles per hour (mph).
Plz help ASAP I WILL GIVE BRAINLIEST!!
Emily was going to sell all of her stamp collection to buy a video game. After selling half of them she changed her mind. She then bought seventeen more.IF SHE STARTED WITH 46 STAMPS, how many does she have now?
A. 75
B. 40
C. 29
D. 63
Answer:
B. 40
Step-by-step explanation:
She starts with 46 and sells half of them
That leaves her with 23 stamps left.
She then buys 17 more, 23 + 17 is 40
Answer is B
Answer:
B. 40 stamps
Step-by-step explanation:
We know that she sold half of her stamps. She started with 46 stamps.
First, find 1/2 of 46.
Multiply 1/2 and 46, or divide 46 by 2.
1/2 *46= 23
46/2=23
She sold 23 stamps, and was left with 23 stamps.
Then, she bought 17 more. If she bought more, she added to the amount she already had.
Therefore, we can add 23 and 17.
23+17=40
She has 40 stamps now.
Discuss the validity of the following statement. If the statement is always true, explain why. If not, give a counterexample. If Upper P (Upper E )plus Upper P (Upper F )equals Upper P (Upper E union Upper F )plus Upper P (Upper E intersect Upper F ), then E and F are mutually exclusive events.
Answer:
[tex]P(E \cup F)=P(E)+P(F)[/tex].
Step-by-step explanation:
Given the statement
If [tex]P(E)+P(F)=P(E \cup F)+P(E \cap F)[/tex], then E and F are mutually exclusive events.
If two events are mutually exclusive, they have no elements in common. Thus, P(E∩F)=0.
Therefore, the statement is always true as P(E∩F)=0
For mutually exclusive events:
[tex]P(E \cup F)=P(E)+P(F)[/tex].
You want to know whether the students in your school enjoy the school lunch. You survey every student in your class. Is this survey biased or unbiased?
Answer:
biased
Step-by-step explanation:
on my quiz good luck
The survey is biased because a biased sample favors one or more segments of the population over others.
What is a survey?A survey is a means of gathering information from a sample of people using pertinent questions with the goal of understanding populations as a whole.
We have:
You want to know whether the students in your school enjoy the school lunch.
As we know,
A biased sample favors one or more segments of the population over others, whereas an impartial sample gives everyone in the population an equal chance of being chosen.
The population is the collection of data with the same entity that is linked to a problem. The sample is a subset of the population, yet it is still a part of it
Thus, the survey is biased because a biased sample favors one or more segments of the population over others.
Learn more about the survey here:
brainly.com/question/17373064
#SPJ5
help Find (f + g)(x)
f(x) = 6x2 + 3x + 1
g(x) = 2x2 - 9
[tex]\text{Solve:}\\\\(f + g)(x)\\\\6x^2+3x+1+2x^2-9\\\\8x^2+3x+1-9\\\\\boxed{8x^2+3x-8}[/tex]
897-113×2:2+113
A) 888
B) 987
C) 898
D) 1694
E) 897
Answer:
d it is what it is my man's