Answer:
so first you cross multiply the first fractions' numerator by the other fractions denominator.
and then you do the same for the other one
then you multiply both denominators
the answer u got from cross multiplying, you get those numbers and subtract
them. the denominator doesn't need anything done to it.
Step-by-step explanation:
hope it helps (pls brainliest if u can)
You are given a bag with 8 green marbles, 6 blue marbles, 14 yellow marbles, and 12 red marbles. Find the theoretical probability of each random event. (Enter your probabilities as fractions.)
(a) Drawing a green marble
(b) Drawing a red marble
(c) Drawing a marble that is not yellow
The theoretical probability of drawing a green marble is 1/5, a red marble is 3/10, and a marble that is not yellow is 13/20 from a bag of 40 marbles with varying colors.
The question involves calculating the theoretical probability of drawing certain colored marbles from a bag with a mixed collection of marbles. To find the probability of each event, we can use the formula P(event) = Number of favorable outcomes / Total number of outcomes.
Drawing a green marble: There are 8 green marbles out of a total of 40 marbles. So, P(green) = 8/40 = 1/5.
Drawing a red marble: There are 12 red marbles out of a total of 40 marbles. So, P(red) = 12/40 = 3/10.
Drawing a marble that is not yellow: There are 26 marbles that are not yellow (8 green, 6 blue, and 12 red) out of a total of 40 marbles. So, P(not yellow) = 26/40 = 13/20.
A 40% antifreeze solution is to be mixed with a 70% antifreeze solution to get 240 liters of a 64% solution. How many liters of the 40% and how many liters of the 70% solutions will be used?
Answer:
We have 40% antifreeze and 70% antifreeze and we need to make 240 liters of 64% antifreeze.
We set up 2 equations where "f" is the 40 % and "s" is the 70%
A) f + s = 240
B) .40f + .70s = (.64 * 240) (or 153.6)
To solve both equations we multiply A) by -.40
A) -.40 f - .40 s = -96.00 then we add this to B)
B) .40f + .70s = 153.60
.30s = 57.6
s = 192
f = 48
48 liters of 40% = 19.20 liters of antifreeze
192 liters of 70% = 134.40 liters of antifreeze
That equals 153.60 liters of antifreeze in a TOTAL liquid amount of 240 liters.
Double Check
153.60 / 240 = 64% antifreeze.
Step-by-step explanation:
In which quadrant does the point (5, -13) lie?
A.
Quadrant IV
b. Quadrant !
c. Quadrant III
D.
Quadrant II
Answer:
IV
Step-by-step explanation:
Since x is positive, the two possible quadrants are I and IV.
Since y is negative, the two possible quadrants are III and IV.
The point lies in quadrant IV.
The sum of 3 consecutive integers is 60. What is the value of the third integer?
Answer:
x=19
Step-by-step explanation:
The consecutive integers will be x, x+1 and x+2 since consecutive integers have a pattern.
So, the equation is x+x+1+x+2=60
Solve:
x+x+1+x+2=60
3x+3=60
Subtract 3 on both sides:
3x+3-3=60-3
3x=57
Divide by 3
3x/3=57/3
x=19
10. The scores on the verbal section of the Graduate Records Examination (GRE)
are approximately normally distributed with a mean of 150 and a standard
deviation of 8.5. What is the probability that a randomly selected score on the
verbal section is higher than 1657
Answer:
The probability that a randomly selected score on the verbal section is higher than 165 is 0.0392
Step-by-step explanation:
We are given that The scores on the verbal section of the Graduate Records Examination (GRE) are approximately normally distributed with a mean of 150 and a standard deviation of 8.5.
Mean = [tex]\mu = 150[/tex]
Standard deviation =[tex]\sigma = 8.5[/tex]
We are supposed to find the probability that a randomly selected score on the verbal section is higher than 165 i.e.P(x>165)
Formula :[tex]Z=\frac{x-\mu}{\sigma}[/tex]
[tex]Z=\frac{165-150}{8.5}[/tex]
Z=1.76
Refer the z table for p value
P(x<165)=0.9608
P(x>165)=1-P(x<165)=1-0.9608=0.0392
Hence the probability that a randomly selected score on the verbal section is higher than 165 is 0.0392
If a basketball player makes 2 baskets for every 5 shots and he keeps getting baskets at the same rate, how many baskets will he get if he takes 100 shots?
Answer:
i thinl it would be 200 or 1000
Use the triangle shown to find the ratios.
cos(A) =
tan(C) =
Triangle A B C is shown. Angle A B C is a right angle. The length of A B is 10 feet, the length of C B is 24 feet, and the length of hypotenuse A C is 26 feet.
Answer:
cos (A) =5/13
tan (C) =5/12
Step-by-step explanation:
The triangle for the problem is produced and attached.
cos (A)=Adjacent/Hypotenuse
cos (A) = 10/26 =5/13
Similarly,
tan (C)=Opposite/Adjacent
tan (C)=10/24 =5/12
Answer:
Cos(A) = 5/13 or 10/26
Tan(C) = 5/12 or 10/24
Step-by-step explanation:
I did it on edge :)
Enzo is studying the black bear population at a large national park. He finds that the relationship between the elapsed time (t), in years, since the beginning of the study, and the black bear population B(t) in the park is modeled by the following function:
B(t) = 2,500×2^0.01t
According to the model, what will the black bear population be at that national park in 25 years?
according to the model, the black bear population at the national park after 25 years will be approximately 2,973.
To find the black bear population at the national park after 25 years using the given function [tex]\( B(t) = 2,500 \times 2^{0.01t} \)[/tex], we substitute [tex]\( t = 25 \)[/tex] into the function:
[tex]\[ B(25) = 2,500 \times 2^{0.01 \times 25} \][/tex]
[tex]\[ B(25) = 2,500 \times 2^{0.25} \][/tex]
[tex]\[ B(25) = 2,500 \times 2^{1/4} \][/tex]
[tex]\[ B(25) = 2,500 \times \sqrt[4]{2} \][/tex]
Now, let's compute the value:
[tex]\[ B(25) = 2,500 \times 1.1892 \][/tex]
[tex]\[ B(25) \approx 2,973 \][/tex]
Therefore, according to the model, the black bear population at the national park after 25 years will be approximately 2,973.
What is the area of the rectangle, in square centimeters? A rectangle with length 12 centimeters and width 5 centimeters. 17 34 30 60
The graph for the equation y = x minus 4 is shown below.
On a coordinate plane, a line goes through (0, negative 4) and (4, 0).
Which equation, when graphed with the given equation, will form a system that has an infinite number of solutions?
y minus x = negative 4
y minus x = negative 2
y minus 4 = x
y + 4 x = 1
Answer:
The answer is y minus x = negative 4
Step-by-step explanation:
Find the perimeter of a triangle with these vertices (5,1),(-2,1),(-2,-4)
Answer:
12+√74 ≈ 20.60
Step-by-step explanation:
The side lengths of this right triangle are 5 and 7 units, so the length of the hypotenuse is ...
b² = a² +c² = 5² +7² = 74
b = √74
The perimeter is ...
P = a + b + c = 5 + √74 + 7
P = 12+√74 ≈ 20.60
On a coordinate plane, an absolute value graph has a vertex at (1, negative 2.5). The graph shows the function f(x) = |x – h| + k. What is the value of k? k = –2.5 k = –1 k = 1 k = 2.5
9514 1404 393
Answer:
(a) k = –2.5
Step-by-step explanation:
When the function f(x) is transformed to f(x -h) +k, the graph is translated h units right and k units up.
If the absolute value function has its original vertex of (0, 0) moved to (1, -2.5), then (h, k) = (1, -2.5).
The value of k is -2.5.
_____
Additional comment
The above answer applies to the given problem statement. The question asked in the comment has a vertex of (0, 2.5), so (h, k) = (0, 2.5) for that question.
If you're going to copy the answer, make sure it is the answer to the question you're looking at.
In an absolute value function expressed as f(x) = |x – h| + k, the value of k corresponds to the y-coordinate of the function's vertex. In this case, as the vertex is at the point (1, -2.5), the value of k is -2.5.
The student's question relates to the concepts of Two-Dimensional (x-y). Graphing and the graphing of the absolute value function. It is vital to remember that the vertex of an absolute value graph in the form f(x) = |x – h| + k corresponds to the point (h, k) on the Cartesian coordinate plane. The student states that the vertex is at the point (1, -2.5), so based on our function analysis, the value of k, which represents the y-coordinate of the vertex, is -2.5. Therefore, the correct answer is k = -2.5.
For more about Absolute Value Graph here:
https://brainly.com/question/19848212
#SPJ3
Consider the system of equations.
y = -x + 3
y=-x-3
The graph of the first equation is shown by the orange
line.
ty
What is the slope of the orange line?
If the second equation was drawn on the same graph,
what would be its slope?
If the lines of both equations were shown on the same
graph, they would
The system of equations has
Answer:
slope of orange Line = -1
slope of other line = -1 (also)
would be parallel
no solution
Step-by-step explanation:
how do i know. I did the assignment. Can i get brainlyest. I need it please.
This question is based on system of linear equation. thus, there is no solution of equations.
Given:
y = - x + 3 ...(1)
y = -x - 3 ...(2)
We know that ,
Equation of line is y = mx+c ...(3)
Now, calculate the slope of equation (1) is m= -1 (by comparing equation (1) and (3).
Now, calculate the slope of equation (2) is m= -1 (by comparing equation (2) and (3).
Therefore, both lines are parallel to each other.Thus, never meet ech other so, the equation has no solution.
For further details, prefer this link:
https://brainly.com/question/21404414
Please help me with the math question
Answer:
neither even nor odddegree 5LC negativeroots {-6, -4, 0, 2, 3}Step-by-step explanation:
The function's graph is not symmetrical about the origin, so it is not an odd function. It is not symmetrical about the y-axis, so is not an even function.
The function is neither even nor odd.
There are 5 zero-crossings and no places where y=0 and the graph does not cross. This means the function is of degree 5, at least.
The general shape of the function is down and to the right, so the sign of the function for large values of x is opposite the sign of x. The leading coefficient must be negative.
As we noted, there are 5 zero-crossings. These are the real roots. They are found at x-values in the set {-6, -4, 0, 2, 3}.
Giving brainliest for CORRECT awnser.
Answer:
12
Step-by-step explanation:
x^2 -bx +36
A perfect square trinomial is of the form
a^2 -2abx +b^2
x^2 -bx +6^2
a =1 and b = 6
2ab = 2*1*6 = 12
A school administrator tells everyone in the building that they will be having a fire drill randomly sometime during the school day which is from 8 a.m. to 3 p.m. If second period is from 9:20 a. m. to 10:10 a.m., what is the probability of the fire drill happening during second period?
Answer: I think the answer is 11.9% , because I had this on a quiz and this was the same question.
Step-by-step explanation:
Consider the different impacts that these two aspects of statistics will have on your role as an engineer. Discuss how these two branches of statistics will provide different capabilities and impacts in your engineering discipline. Provide an example of an area where you might use descriptive statistics to better understand a variable, as well as an example of an area where inferential statistics might be needed to draw some conclusion from a set of variables data that you have. Do you see both descriptive and inferential statistics being necessary for your future success as an engineer
Answer:
Check the explanation
Step-by-step explanation:
Key Differences Between Descriptive and Inferential Statistics:
The difference between descriptive and inferential statistics can be drawn clearly on the following grounds:
Descriptive Statistics is a discipline which is concerned with describing the population under study. Inferential Statistics is a type of statistics; that focuses on drawing conclusions about the population, on the basis of sample analysis and observation.
Descriptive Statistics collects, organised, analyzes and presents data in a meaningful way. On the contrary, Inferential Statistics, compares data, test hypothesis and make predictions of the future outcomes.
There is a diagrammatic or tabular representation of final result in descriptive statistics whereas the final result is displayed in the form of probability.
Descriptive statistics describes a situation while inferential statistics explains the likelihood of the occurrence of an event.
Descriptive statistics explains the data, which is already known, to summaries sample. Conversely, inferential statistics attempts to reach the conclusion to learn about the population; that extends beyond the data available.
Ex. Of 350 randomly selected people in the town of Luserna, Italy, 280 people had the last name Nicolussi. An example of descriptive statistics is the following statement :
"80% of these people have the last name Nicolussi."
Ex. Of 350 randomly selected people in the town of Luserna, Italy, 280 people had the last name Nicolussi. An example of inferential statistics is the following statement :
"80% of all people living in Italy have the last name Nicolussi."
We have no information about all people living in Italy, just about the 350 living in Luserna. We have taken that information and generalized it to talk about all people living in Italy. The easiest way to tell that this statement is not descriptive is by trying to verify it based upon the information provided.
Answer:
The question is incomplete, the complementary part is left on the graph and the requested ones are answered
Differences between inferential and descriptive statistics:
1. We know that in descriptive statistics the main objective is only to describe data from the population, in inferential what is sought is to analyze data to draw conclusions from them
2. In descriptive statistics, the process involves collecting information, organizing it, and displaying data that are relevant or significant. In inferential statistics, the data is taken and processed to evaluate hypotheses and draw conclusions regarding future results.
3. the representation in the descriptive statistics is made by means of diagrams or tabulations and the result in the inferential one is given in probability
4. When we have a situation, descriptive statistics allows us to describe it and, in inferential, we obtain the probability that the event will occur.
descriptive statistics is based on known data, inferential it is intended to project future situations, which allows with all the previous answers to generate an important panorama for the development of engineering and its true application in a real field
-. an example is the following
Of 350 people taken at random in Madrid, Spain, 280 had the surname Martinez, we can take this situation to the descriptive statistic as follows:
80% of people carry the surname Martinez
We have, then, the result of a small sample of a city, not of the entire population of Spain, so the result has been generalized and we refer to a country from a small sample, however we must verify it and take it to a statistic inferential
PLEASE HELP ME
I DONT UNDERSTAND
Answer: its letter A
Step-by-step explanation:
Answer:
145
Step-by-step explanation:
This is pretty simple, the three angles inside the triangle equal to 180 degrees, so if you add 80 and 65 and subtract that from 180, you get 35. So two angles that are connected to a single line equal to 180, so you just subtract 35 from 180 to get 145. Therefore, <1 = 145.
a classmate says the first step to solve the equation 12(3g-9)=99 is to add to both sides do you agree
Answer:
NoStep-by-step explanation:
[tex]12(3g - 9) = 99 \\ 36g - 108 = 99 \\ 36g = 99 + 108 \\ 36g = 207 \\ \frac{36g}{36} = \frac{207}{36} \\ g = 5.75[/tex]
solve for
3x + 12= -12
Answer:
x = -8
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 12 from both sides:
3x + 12 (-12) = -12 (-12)
3x = -12 - 12
3x = -24
Next, divide 3 from both sides:
(3x)/3 = (-24)/3
x = -24/3
x = -8
x = -8 is your answer.
~
Answer:
x = -8
Step-by-step explanation:
3x + 12= -12
3x = -24
x = -24/3
x = -8
An oblique prism has a base area of 3x2 square units. An oblique prism has a base area of 3 x squared square units. The base of the prism is a quadrilateral. The distance from the top quadrilateral to the bottom quadrilateral is 13. A right triangle is drawn outside of the prism and has the side with length 13 as its hypotenuse. The base length of the triangle is 5. What expression represents the volume of the prism, in cubic units? 15x2 24x2 36x2 39x2
Answer: 36x^2
Step-by-step explanation:
just took eg quiz
The expression represents the volume of the prism, in cubic units is
39x². (Option D) This is because the formula for the volume of a prism is: V = Bh
What is a prism?Any 3-dimensional shape with two identical shapes facing each other is called a Prism.
Recall that the oblique prism is described as having a base area of 3x², If the height is 13 (that is the distance between the top of the quadrilateral and the bottom) hence,
V = 3x² * 13
→ V = 39x², therefore, Option D is the correct answer.
Learn more about Prisms at:
https://brainly.com/question/23963432
#SPJ2
A right rectangular prism with square bases has a height of 20cm and a volume of 800 cubic centimeters. Which statements describe the prism?
Answer:
The area of the rectangular prism is 40cm²
Step-by-step explanation:
To calculate the volume of a rectangular prism we have to use the following formula:
a = area
v = volume = 800 cm³
h = height = 20 cm
v = a * h
we replace the values that we know
800cm³ = a * 20cm
800cm³ / 20cm = a
40cm² = a
v = 70ft³
The area of the rectangular prism is 40cm²
I want to know if mammals usually have more teeth than reptiles
Answer: yes reptiles have no teeth at all while mammals have two sets of teeth
Step-by-step explanation:
Answer:
dot plot
Step-by-step explanation:
gay gay
write the equation of the circle graphed below
Answer:
The equation of the circle is
(x + 2)² + (y + 2)² = 9
Centered at (-2, -2), with radius of 3 units.
Step-by-step explanation:
The general equation of a circle is given as
(x - h)² + (y - k)² = r²
Where (h, k) is the center of the circle, and r is the radius.
Looking at the graph, the center is the red dot. It corresponds to -2 on the y-axis, and -2 on the x-axis. So, the center (h, k) is (-2, -2).
The radius is the distance from the center of the circle to the edge of the circle. The red dot is the edge of the circle, there are 3 lines that represent 3 units, so we have a radius of 3 units.
Using these in the general equation, we have
[x - (-2)]² + [y - (-2)]² = 3²
(x + 2)² + (y + 2)² = 9
And this is the equation.
Answer:
(x+2)^2 + (y+2)^2= 0.5625
Step-by-step explanation:
En un mapa, 1 cm medido en el papel representa a 100 km
a. que distancia en la realidad habrá entre dos puntos que en el papel distan 3,3 cm?
b. que distancia en el papel habrá si en la realidad hay 1 800 km
porfa respondan
What is the quotient? Will give brainliest and will report absurd answers.
Answer:
D
Step-by-step explanation:
When dividing fractions, multiply the first number by the reciprocal of the second number
2/5 ÷ 1/3
First, find the reciprocal of the second number: 1/3
To find the reciprocal, flip the numerator (top number) and denominator (bottom number)
1/3-->3/1
Now, multiply 2/5 and 3/1
2/5 * 3/1
Multiply across the numerators and denominators
6/5
please help meeeee and I am stuck on this question
Answer:
b = 3
Step-by-step explanation:
the area of the parallelogram is 7*b, since we know it is 21, b = 3.
More Information From the Online Dating Survey A survey conducted in July 2015 asked a random sample of American adults whether they had ever used online dating (either an online dating site or a dating app on their cell phone). 55- to 64-year-olds The survey included 411 adults between the ages of 55 and 64, and 50 of them said that they had used online dating. If we use this sample to estimate the proportion of all American adults ages 55 to 64 to use online dating, the standard error is 0.016. Find a 90% confidence interval for the proportion of all US adults ages 55 to 64 to use online dating. Round your answers to three decimal places. The 90% confidence interval is Enter your answer; The 90% confidence interval, value 1
Answer:
90% confidence interval for the proportion of all US adults ages 55 to 64 to use online dating is [0.095 , 0.148].
Step-by-step explanation:
We are given that a survey conducted in July 2015 asked a random sample of American adults whether they had ever used online dating.
The survey included 411 adults between the ages of 55 and 64, and 50 of them said that they had used online dating.
Firstly, the pivotal quantity for 90% confidence interval for the population proportion is given by;
P.Q. = [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ~ N(0,1)
where, [tex]\hat p[/tex] = sample proportion of adults who said that they had used online dating = [tex]\frac{50}{411}[/tex] = 0.122
n = sample of adults between the ages of 55 and 64 = 411
p = population proportion of all US adults ages 55 to 64 to use online dating
Here for constructing 90% confidence interval we have used One-sample z proportion statistics.
So, 90% confidence interval for the population proportion, p is ;
P(-1.645 < N(0,1) < 1.645) = 0.90 {As the critical value of z at 5% level
of significance are -1.645 & 1.645}
P(-1.645 < [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < 1.645) = 0.90
P( [tex]-1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < [tex]{\hat p-p}[/tex] < [tex]1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ) = 0.90
P( [tex]\hat p-1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < p < [tex]\hat p+1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ) = 0.90
90% confidence interval for p = [[tex]\hat p-1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex], [tex]\hat p+1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex]]
= [ [tex]0.122-1.645 \times {\sqrt{\frac{0.122(1-0.122)}{411} } }[/tex] , [tex]0.122+1.645 \times {\sqrt{\frac{0.122(1-0.122)}{411} } }[/tex] ]
= [0.095 , 0.148]
Therefore, 90% confidence interval for the proportion of all US adults ages 55 to 64 to use online dating is [0.095 , 0.148].
When measuring miles using a telescope, surveyors made an error of 6.5 feet per mile. If the total error was 55.25 feet, how
many miles were measured?
A 8.5
B
48.75
C
61.75
D
359.125
A. 8.5.
55.25 feet / 6.5 feet = 8.5 miles.
what is a telescope?A telescope is an optical tool using lenses, curved mirrors, or a combination of both to look at distant objects, or various devices used to look at distant objects by means of their emission, absorption, or reflection of electromagnetic radiation.
There are three main types of telescope. These are
refracting telescopes, Newtonian telescopes and Schmidt-Cassegrain telescopesLearn more about telescope here
https://brainly.com/question/18300677
#SPJ2
Identify which statement about the mean of a discrete random variable is not true or state that they are all true.Choose the correct answer below.A.The mean can be interpreted as the average outcome if the experiment is repeated many times.B.The mean must be a possible value of the random variable.C.The mean can be found using the formula Summation from nothing to nothing x times Upper P (x ).D.All of these statements are true.
Answer:
A, C are true . B is not true.
Step-by-step explanation:
Mean of a discrete random variable can be interpreted as the average outcome if the experiment is repeated many times. Expected value or average of the distribution is analogous to mean of the distribution.
The mean can be found using summation from nothing to nothing x times Upper P (x) , i.e ∑x•P(x).
Example : If two outcomes 100 & 50 occur with probabilities 0.5 each. Expected value (Average) (Mean) : ∑x•P(x) = (0.5)(100) + (0.5)(50) = 50 + 25 = 75
The mean may not be a possible value of the random variable.
Example : Mean of possible no.s on a die = ( 1 + 2 + 3 + 4 + 5 + 6 ) / 6 = 21/6 = 3.5, which is not a possible value of the random variable 'no. on a die'
The correct answer is statement B, 'The mean must be a possible value of the random variable'. This claim is incorrect because the mean of a discrete random variable, calculated as the expected value, does not necessarily have to be a possible value of the variable.
Explanation:In the given options, the only statement about the mean of a discrete random variable that is not true is 'B. The mean must be a possible value of the random variable.' The mean or expected value of a discrete random variable is calculated as the sum of all possible values each multiplied by their respective probabilities (Statement C). The expected value or mean can indeed be interpreted as the average outcome if the experiment is repeated many times (Statement A), but it does not necessarily need to be an exact outcome or possible value of the random variable.
This is especially true for distributions such as the binomial and Poisson distributions, where the calculation of the mean relies on the probability of events and does not have to align with specific outcomes. Hence, the statement 'B. The mean must be a possible value of the random variable' is incorrect.
Learn more about Discrete Random Variables here:https://brainly.com/question/17238189
#SPJ3