A bag contains:
4 blue marbles
2 green marbles
1 red marble
A marble is chosen at random from the bag and not replaced. Then, a second marble is chosen from the bag. What is the probability that the first marble was red and the second marble was green?
A) 1/7
B) 1/21
C) 2/49
D) 2/6
Answer:
it is ether B or D cuz
Step-by-step explanation:
4+2+1=7 marbles
(4/1)+(2/1)+(1/1)=7/21
divide 21 by 7 that would = 3
Question :
The expression (22
+ 9) can be factored using the difference of squares rule.
True
False
what type of variable would necessitate using a hypothesis test of the population proportion rather than a test of the population mean?
Categorical data are the sort of variable that would need utilizing a population proportion hypothesis test rather than a population mean hypothesis test.
Categorical data – what is it?Data that cannot be easily gathered by counting is referred to as categorical data, which is another name for qualitative data. Hypothesis testing may be used with this type of data. Data are used in hypothesis testing to draw conclusions about population characteristics.
The findings are reached after first proposing a null hypothesis. Therefore, for qualitative or categorical data, a hypothesis test of the population is performed rather than a numerical test of the population mean.
To know more about categorical data visit:
https://brainly.com/question/28542438
#SPJ4
Find the volume of a pyramid with a square base that has a side measuring 10 cm and a height of 15 cm
Answer:
Volume = 500 cm³
Step-by-step explanation:
Given the following data;
Side length of the base = 10cm
Height = 15 cm
To find the volume of pyramid with a square base;
Mathematically, the volume of a pyramid with a square base is given by the formula;
Volume of square-based pyramid = A(h/3)
Where;
A is the area of the square base.
h is the height of the pyramid.
First of all, we would find the area of the square base;
Area of square, A = L²
A = 10²
A = 100 ft²
Next, we find the volume of the square-based pyramid;
Volume = 100(15/3)
Volume = 100 * 5
Volume = 500 cm³
1. If f(x) = (3x-2)/(2x+3), then f'(x) =
Answer:
\(f'(x)= \frac{13}{(2x+3)^2}\\\)
Step-by-step explanation:
\(f(x)= \frac{3x-2}{2x+3} \\\)
\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)
\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)
pls solve the q in the file
Answer:
\(\left \{ {{p=3} \atop {q=1}} \right.\)
Step-by-step explanation:
First, we'll expand \((x-p)^2+q\). It's equal to \(x^2-2px+p^2+q\).
Then, we'll compare this to \(x^2-6x+10\).
The terms \(x^2\) are the sameThe terms with \(x\) are \(-2px\) and \(-6x\) in the two expressions respectively, so they must be equal. We have \(-2px=-6x\), so p=3.The remaining terms are \((p^2+q)\) and \(10\). They must be equal. We have \(p^2+q=10\). Substituting in \(p=3\), we get \(9+q=10\), so q=1.Answer:
p = 3, q = 1
Step-by-step explanation:
Using the method of completing the square
add/ subtract ( half the coefficient of the x- term )² to x² - 6x
x² + 2(- 3)x + 9 - 9 + 10
= (x - 3)² + 1 ← in the form (x - p)² + q
with p = 3 and q = 1
A group of friends wants to go to the amusement park. They have no more than $245
to spend on parking and admission. Parking is $9.25, and tickets cost $25.75 per
person, including tax. Which inequality can be used to determine p, the maximum number of people who can go to the amusement park?
Answer:
9.25 + 25.75p ≤ 245
Step-by-step explanation:
I didn't see any inequality options to select from . . .
someone knows what number multiplied twice by the same can give me results 203!!!!!
Answer:
i will help you.......
-18=7v+9-10v
slove for v.
Answer:
v=9
Step-by-step explanation:
-18 = 7v + 9 - 10v
combine like terms
-18 = -3v + 9
-9 -9
-27 = -3v
divide both sides by -3
9 = v
or
v = 9
Hope this helps!!!
What is 30% of 60? My app isn’t working so I might just have to rate you and say thanks.
Is this expression a polynomial? 2x^4 y + 4x^2 y^2
Answer: yes
2x^2yx(x^2+2y)
Step-by-step explanation:
2x^4y+4x^2y^2
2x^2yx(x^2+2y)
tell me what -28 + (-80) equals please i need help
An online clothing store is offering free shipping on orders over $75 you want to purchase t shirt for $9.85 and a pair of pants for$56.00 the shipping on this order will be 20% of the total should you purchase a second t shirt? Explain your answer
Answer:
Buy Two tshirts and a pair of pants....
Step-by-step explanation:
Total purchase -
$9.85 + $56.00 = $65.85
Shipping charges is 20% -
65.85 * 0.2 = 13.17
Total (including shipping) = $79.02
If you purchace two t shirts and a pair of pants then you dont have to pay for the shipping therefore,
Total purchase will be -
$9.85 + $56.00 + $9.85 = $75.70
Puchasing 2 tshirts will be $3.32 cheaper....
Answer:
You should buy a second t-shirt.
Step-by-step explanation:
The total without shipping comes out to $65.85. Add the 20% shipping by multiplying .20 by the total, $65.85, and you get $65.85 plus $13.17, the total being $79.02. Now, if you added another shirt for $9.85, your total comes out to $75.70, which barely qualifies for free shipping. In other words, yes, you should purchase a second shirt because you would actually save money, almost $4.
what is the major difference between the two sample t-test and paired t-test? when should we use one versus the other? g
Two sample t-test is used when the two samples of the data are statistically independent and the paired t-test is used, when data is in the form of matched pairs
The two-sample t-test defined as the method used to test whether the unknown population means of two groups are equal. The two sample t-test is also called independent samples t-test. Because the two samples of the data are statistically independent.
A paired t-test is used to find the difference between two variables usually separated by time for the same subject. By using the paired t-test we can find the mean difference between pairs of measurements is zero or not. So paired t-test is used, when data is in the form of matched pairs
Hence, two sample t-test is used when the two samples of the data are statistically independent and the paired t-test is used, when data is in the form of matched pairs
Learn more about t-test here
brainly.com/question/15870238
#SPJ4
solve the following simple equations 6m=
12
Answer:
m = 2
Step-by-step explanation:
6m = 12
6 × m = 12
m = 12 ÷ 6
m = 2
If it helps, then pls like and mark as brainliest!
Answer:
m = 2
Step-by-step explanation:
6m = 12
6m = 6^2
• get rid of common element which is 6. Devide both side by six.
6m ÷ 6 = 6^2 ÷ 6
m = 2
Given the table below, write a linear equation that defines the
dependent variable, t, in terms of the independent variable, s.
S
0
4
8
12
t
14
9
4
-1
Answer:
the answer is 9
Step-by-step explanation:
I just did the test
I NEED HELP PLEASE HURRY, THANKS! :)
Answer:
B
using SOHCAHTOA
COS THETA WILL BE EQUALS TO ROOT 5/3 AND TAN THETA WILL BE EQUALS TO 2ROOT 5/3
Answer:
B.
Step-by-step explanation:
First, note that since \(sin(\theta)=2/3\), this means that the opposite side is 2, the hypotenuse is 3, and the last, adjacent side is \(\sqrt{5\\\).
Also note that we are told that \(sec(\theta)<0\). This means that \(\theta\) cannot be in quadrants 1 nor 4 because (remember All Students Take Calculus?) in those quadrants cosine and secant are positive. Also, we know that sine is positive so we can conclude that \(\theta\) is in the second quadrant.
In the second quadrant, sine is positive, cosine is negative, and tangent is negative. Now we can answer the question. We already know the side lengths: opposite=2, adjacent=\(-\sqrt{5}\) (because it's in Quadrant II), and hypotenuse=3.
Therefore...
\(cos(\theta)=-\sqrt{5} /3\)
\(tan(\theta)=2/(-\sqrt{5})=-(2\sqrt{5}/5)\)
BRAINLIEST PERSON WHO GETS IT
Nyoko wrote these two questions.
Equation 1: 6x-5+2x = 4(2x-1) - 1
Equation 2: 3x +7 = bx+7
Part A
Nyoko says that Equation 1 has one solution. Do you agree with her? Explain your reasonings.
Part B
Can Nyoko find a value for b in Equation 2 so that the equation has no solutions? Explain Your REASONING!
a) The equation 1 has an infinite number of solutions, as both linear functions have the same slope and internet, hence Nyoko is incorrect.
b) Nyoko cannot find a value of b so that the equation has no solutions.
How to solve the equations?The equation 1 is given as follows:
6x - 5 + 2x = 4(2x - 1) - 1.
Combining the like terms and applying the distributive property, the simplified equations are given as follows:
8x - 5 = 8x - 4 - 1
8x - 5 = 8x - 5.
As they are linear functions with the same slope and intercept, the number of soltuions is of infinity.
The equation 2 is given as follows:
3x + 7 = bx + 7.
A system of linear equations will have zero solutions when:
The equations have the same slope.The equations have different intercepts.As they have the same intercept for this problem, it is not possible to attribute a value of b such that the equation will have no solution.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
A ______ graph is best suited for showing changes in statistics over time or space. a. pie b. line c. distributive d. parallel e. ratio.
A line graph is best suited for showing changes in statistics over time or space.
Line graphs are commonly used to visualize trends, patterns, and fluctuations in data over a continuous or discrete period. The x-axis represents time or space, while the y-axis represents the corresponding statistic being measured. The line graph connects the data points, allowing for a clear representation of how the statistic changes over the given time or space interval.
To know more about line graphs, visit:
https://brainly.com/question/31942903
#SPJ11
Working together, Rafael and Salvador can tabulate a certain set of data in 2 hours. In how many hours can Rafael tabulate the data working alone?
(1) Working alone, Rafael can tabulate the data in 3 hours less time than Salvador, working alone, can tabulate the data.
(2) Working alone, Rafael can tabulate the data in 1/2 the time that Salvador, working alone, can tabulate the data.
Both the given statements are correct.
Given that Rafael and Salvador can tabulate a certain set of data in 2 hours, we need to find the time in which Rafael tabulate the data working alone,
Also verify the given statements,
Let's assume that Salvador takes x hours to tabulate the data working alone.
From statement (1), we know that Rafael can tabulate the data in 3 hours less time than Salvador.
Therefore, Rafael can tabulate the data in (x - 3) hours.
When Rafael and Salvador work together, they can complete the task in 2 hours.
So, their combined work rate is 1/2 of the task per hour.
The work rate of Rafael is 1/(x - 3) of the task per hour, and the work rate of Salvador is 1/x of the task per hour.
Since their combined work rate is 1/2, we can write the equation:
1/(x - 3) + 1/x = 1/2
To solve this equation, we can find a common denominator and simplify:
2x + 2(x - 3) = x(x - 3)
2x + 2x - 6 = x² - 3x
4x - 6 = x² - 3x
Rearranging the equation:
x² - 7x + 6 = 0
Factoring the quadratic equation:
(x - 6)(x - 1) = 0
This gives us two possible values for x: x = 6 and x = 1.
However, x cannot be 1 because it would mean Salvador completes the task in 1 hour, and Rafael would not be able to complete it in 3 hours less time (as stated in statement (1)).
Therefore, the only valid solution is x = 6.
So, Salvador takes 6 hours to tabulate the data working alone, and Rafael takes 6 - 3 = 3 hours to tabulate the data working alone.
Therefore, Rafael can tabulate the data working alone in 3 hours. Statement (1) is true.
Statement (2) is not necessary to solve the problem but it is consistent with the result. It states that Rafael can tabulate the data in 1/2 the time of Salvador, which is true since Salvador takes 6 hours and Rafael takes 3 hours.
Learn more about equations click;
https://brainly.com/question/29538993
#SPJ4
What is the quadratic regression equation that fits these data?
Answer:A. -1.11x^2+ 3.74+ 10.64
Step-by-step explanation:
a. p. e. x. (just took the test)
Answer:
A
Step-by-step explanation:
I just got the question right on the test lol!!
A triangle has exterior angle measure, one at each vertex, of 6x, 6x, and 3x. What is the value of X?
Answer:
60°
Step-by-step explanation:
The sum of angles at any one vertice is 360°.
Sum of angles (exterior and interior) = 3 x 360° = 1080°
The interior area of a triangle is always 180°. Hence exterior area = 1080° - 180° = 900° = (6 + 6 + 3)x
15x = 900°
x = 60°
Question 2 The first five terms of a sequence are shown below. 7,4, 1, -2, -5,... Betsy wants to write a function to represent the sequence in order to find the 75th term of the sequence. Fill in the blanks below with appropriate integer values to complete the function representing the sequence and represent the 75th term of the sequence
In this case we are dealing with an arithmetic sequence, we can represent this kind of sequences with the formula:
f(n) = f0 + d*n
Where f0 is the first term of the sequence and d is the difference between one term and the term that is previous to it.
In this case, f0 equals 7, since this is the value of the first term.
We can find d by taking two terms, let's take for example 1 and 4, by subtracting 4 from 1 we get:
d = 1 - 4 = -3
Then d equals -3 and the formula of the sequence is:
f(n) = 7 + (-3)n
f(n) = 7 - 3n
We can calculate the 75th term by replacing 75 for n, then we get:
f(75) = 7 - 3 * 75 = -218
Then f(75) equals -218
– (+23) –(+56)+(-23)
2. (13-5)(-7-2)
3. [-3+7-(-4+6)] - [-8+(-6 -8)]
4. -{-8-[-4+(-4-7)]-34+(-2-3)}
5. |(-48)|- (-76) – (-14) -|-9-7|- (-67)
6. -2[-3+7-3(-4+6)]-[-8+3(-6-8)]
The answer is -178 :))))))))))))))))))))))))))
Tony gets paid $5 per hour to babysit his cousin. This weekend, he babysat on
both Saturday and Sunday. He made a total of $55. Tony babysat for 6 hours on
Sunday. For how many hours did he babysit on Saturday?
Answer:
5 hr
Step-by-step explanation:
tony worked for 6 hr on sunday so he got $30 and he will only need 5hr bc 5hr x $5 = 25 so in total 55
The number of hours on Saturday in which Tony did babysit will be given as 5 hours.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
Tony gets paid $5 per hour to babysit his cousin.
This weekend, he babysat on both Saturday and Sunday.
He made a total of $55.
Tony babysat for 6 hours on Sunday.
Let the number of hours be x on Saturday.
Then we have the equation that will be
x × 5 + 6 × 5 = 55
5x + 30 = 55
5x = 25
x = 5
More about the linear system link is given below.
https://brainly.com/question/20379472
Jody is responsible for creating a survey sample. She forgets, however, to include a segment of the population that is relevant to the study. What sort of sampling error has she created? Group of answer choices Census Ethical Systematic Random
Jody has created a systematic sampling error by forgetting to include a segment of the population that is relevant to the study.
Systematic sampling is a sampling method where every nth member of a population is selected to be part of the sample. In Jody's case, she forgot to include a specific segment of the population, which means that the sampling process was not systematic. This error can introduce bias and affect the representativeness of the sample.
No calculations are required for this type of error.
Jody's mistake in not including a relevant segment of the population has resulted in a systematic sampling error. To ensure the accuracy and validity of the study, it is important to rectify this error by including the missing segment or adjusting the sampling method accordingly.
To know more about sampling error follow the link:
https://brainly.com/question/30765764
#SPJ11
Here is a rectangle with length 5 units and width 2 units.
1. What is the area of the rectangle?
2. Dilate rectangle ABCD from point A by a scale factor of 2. Calculate the area of the image.
3. Dilate rectangle ABCD from point A by a scale factor of 3. Calculate the area of the image.
This refers to the ratio between the scale of a given original object and a new object. It is its representation but of a different size (bigger or smaller). For example, if we have a rectangle of sides 2 cm and 4 cm, we can enlarge it by multiplying each side by a number, say 2.
Solving for the area and scale factor we have:
L= 5 units
W = 2 units
The area of the rectangle =L * WA = (5 x 2)
A = 10 square units.
If the rectangle is dilated from point A by a scale factor of 2, the area of the image:A= (Scale factor of L * W)* L * W
= (2 x 2 x 5 x 2)
A = 40 square units.
If the rectangle is dilated from point A by a scale factor of 3, the area of the image is:A= (Scale factor of L * W)* L * W
= (3 x 3 x 5 x 2)
A= 90 square units
Learn more about area on
https://brainly.com/question/29082330
#SPJ1
Brian gets £x wages each week. After he pays his tax of £t, he then pays his rent of £155. He shares what's left between himself and his wife. How much do they each get?
Answer:
\(\frac{1}{2}(x-t-155)\)
Step-by-step explanation:
Total wages: \(x\)
Pays tax \(t\): \(x-t\)
Pays rent of 155: \(x-t-155\)
Shares what's left between 2: \(\frac{x-t-155}{2}\)
So each gets: \(\frac{1}{2}(x-t-155)\)
One of the greatest advantages of surveys is that researchers __________. can examine variables that are difficult to observe directly do not have to worry about whether their samples are representative can be confident that respondents answered honestly can be biased but still collect objective information
One of the greatest advantages of surveys is that researchers can examine variables that are difficult to observe directly. However, surveys can be biased but still collect objective information.
Researchers can be confident that respondents answered honestly in surveys because they typically use anonymity to protect respondents' identities. Additionally, surveys allow researchers to reach a large number of people, making them more representative of the population they are studying than other methods of data collection. Surveys can also be biased, as they rely on the respondents' self-reported answers.
Respondents may be influenced by the way the question is phrased or by social desirability bias, which is the tendency to give answers that are socially acceptable or favorable, rather than honest. However, researchers can still collect objective information from surveys by using appropriate sampling techniques and statistical analysis to account for potential biases.
To know more about variables visit:-
https://brainly.com/question/15078630
#SPJ11
HELP ME COMPLETE THIS
Step-by-step explanation:
To find the corresponding angles, all we have to do is find what fraction of 360° the angle is:
Pandan = 135 / 360 = ³/₈Coffee = 108 / 360 = ³/₁₀Chocolate = 54 / 360 = ³/₂₀Orange = 45 / 360 = ¹/₈Vanilla = 18 / 360 = ¹/₂₀We can check our answer by adding all the fractions. It should add up to one:
Since ³/₈ + ³/₁₀ + ³/₂₀ + ¹/₈ + ¹/₂₀ = 1
then we did well.
All the best.