Given a line passes through the points (-1,-2) and (-4,-1)
The slope will be calculated as follows:
\(slope=m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}\)\(m=\frac{-1-(-2)}{-4-(-1)}=\frac{-1+2}{-4+1}=\frac{1}{-3}=-\frac{1}{3}\)So, the answer is slope = m = -1/3
The following table contains the number of successors and failures for three categories of a variable. Test whether the proportions are equal for each category at the α= 0.1 level of significance.Category 1 Category 2 Category 3Failures 64 48 68Successes 78 55 841) State the hypotheses. Choose the correct answer below:a) H0: μ1= E1 and μ2=E2 and μ3=E3H1: At least one mean is different from what is expected.b)H0: The categories of the variable and success and failure are independent.H1: The categories of the variable and success and failure are dependent.c)H0: The categories of the variable and success and failure are dependent.H1: The categories of the variable and success and failure are independent.d)H0: p1−p2 = p3H1: At least one of the proportions is different from the others.
The correct answer is (d), i.e., the correct hypotheses are as follows:
\(H_o: p_1 = p_2= p_3\)
against
\(H_1:\) At least one of the proportions is different from the others.
In hypothesis testing, the objective is to reject the null hypothesis that's why the null hypothesis is always set against the desired result.
In this problem, there are three categories given, each having its individual proportions: \(p_1\), \(p_2\), and \(p_3\) .
The null hypothesis is that all proportions are equal, i.e.,
\(H_o: p_1 = p_2= p_3\)
and the alternative hypothesis is that at least any one of the proportions is not equal to the others, i.e.,
\(H_1:\) At least one of the proportions is different from the others.
Thus, option (d) is correct.
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The complete question is as follows:
The following table contains the number of successors and failures for three categories of a variable. Test whether the proportions are equal for each category at the α= 0.1 level of significance.
Category 1 Category 2 Category 3
Failures 64 48 68
Successes 78 55 84
1) State the hypotheses. Choose the correct answer below:
a) H0: μ1 = E1 and μ2 = E2 and μ3 = E3
H1: At least one mean is different from what is expected.
b) H0: The categories of the variable and success and failure are independent.
H1: The categories of the variable and success and failure are dependent.
c) H0: The categories of the variable and success and failure are dependent.
H1: The categories of the variable and success and failure are independent.
d) H0: p1 = p2 = p3
H1: At least one of the proportions is different from the others.
Graph the solution to this inequality on the number line.
−4m+3>11
Answer: The person above me is correct. Here is a picture if you still dont get it..
Step-by-step explanation:
A grocery store sells a bag of 3 oranges for $1.71. How much does one orange cost?
Answer: 57 cents each
Answer:
57 cents
Step-by-step explanation:
divide the amount of money by the amount of oranges to find the amount each of them are. so if each of them are 57 then 1 is 57.
solve equations by factoring:4x^2-81=0
We have the equation:
\(4x^2-81=0\)We can see that there is a differnce of squares:
\(4x^2-81=(2x)^2-9^2\)And then we can rewite the difference of squares as:
\((2x)^2-9^2=(2x-9)(2x+9)\)And this is equal to 0:
\((2x-9)(2x+9)=0\)Now, there are two possibilities:
\(\begin{gathered} 2x-9=0 \\ Or_{\colon} \\ 2x+9=0 \end{gathered}\)Then, we need to solve this two equatiions:
\(\begin{gathered} 2x-9=0 \\ x=\frac{9}{2} \end{gathered}\)\(\begin{gathered} 2x+9=0 \\ x=-\frac{9}{2} \end{gathered}\)The two solutions for the equation are:
\(\frac{9}{2}\text{ and}-\frac{9}{2}\)What does |-5| + |7| equal?
Answer:
12
Step-by-step explanation:
absolute value basically makes numbers positive
can someone help me with this it's confusing and i don't understand it.
Answer:
f(-4)=85
Step-by-step explanation:
Given function
f(x)= 2x^2-10x+13
Now put x= -4, We get
f(-4)=2(-4)^2-10(-4)+13
f(-4)=2(16)+40+13
f(-4)=32+53
f(-4)=85
5x - 11 < 3x - 11
What is the value of X?
how to bypass school chromebook and download games?
Answer:
You can . , ... : ' , .
QUICk whoever gets the correct answer gets brainliest
Answer:
1/5
Step-by-step explanation:
Angle LMN has a measure of 35∘ . The angle is rotated 75∘ about point M to create angle L'M'N'. What is the measure of angle L'M'N'?
Given:
Angle LMN has a measure of 35°.
The angle is rotated 75° about point M to create angle L'M'N'.
To find:
The measure of angle L'M'N'.
Solution:
We have,
\(m\angle LMN=35^\circ\)
The angle LMN is rotated 75° about point M to create angle L'M'N'.
We know that, rotation is a rigid transformation. So, after rotation the corresponding sides and angles remains congruent.
It means,
\(m\angle L'M'N'=m\angle LMN\)
\(m\angle L'M'N'=35^\circ\)
Therefore, the measure of angle L'M'N' is 35°.
EMERGENCY! PLEASE ANSWER ASAP!
Answer:
B - In each round, the number of emails is 3 times the round before.
Step-by-step explanation:
This is because each time down, it is being multiplied by 3 again.
3
3 times 3 = 9
3 times 9 = 27 (can also be 3 times 3 times 3)
Diane pulled 2 green marbles and 10 other marbles from a large bag. What is the experimental probability that the next marble selected from the bag will be green
The experimental probability of selecting a green marble on the next attempt is 1/6 or approximately 0.1667 or 16.67%.
What is probability?
Probability is a measure of the likelihood of an event occurring.
The experimental probability of an event happening is calculated by dividing the number of times the event occurs by the total number of trials or attempts.
In this case, Diane has already selected 2 green marbles and 10 other marbles from the bag. So, the total number of marbles left in the bag is 12.
Since there are 2 green marbles left in the bag, the probability of selecting a green marble on the next attempt is:
2 (number of green marbles) / 12 (total number of marbles) = 1/6
So, the experimental probability of selecting a green marble on the next attempt is 1/6 or approximately 0.1667 or 16.67%.
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i have no idea how to do this help
Answer:
no if thats and option
Step-by-step explanation:
17
8
1
5. Pete, the skateboarding penguin, practices on a ramp in the shape of a right
triangular prism as shown above. Enter the length, in meters, of the ramp. x. *
Only answer if you know...how to send or accept friend requests.I use brainly.com and when I click on someone's profile this is what it shows so how do I send or accept friend requests then?I need help with my maths question:5x÷3=26
Answer:
your answer is 15.6
Step-by-step explanation:
5x divided by 3= 26
multiply 3 by each side
5x = 78
divide 5 by each side to get x by itself
x= 15.6
Find the Surface area of the trapezoid
please help
show work
Answer:
259.5
Step-by-step explanation:
8.1*12=97.2
Area of trapiezium = 1/2(b+a)h
(2.8+8.1)=10.9
10.9*3/2=16.35
16.35*2=32.7
2.8*12=33.6
33.6+32.7+97.2=163.5
4*12*2=96
163.5+96=259.5
E is inversely proportional to F3.
Select the correct formula connecting E and F.
• E = kĖ
OE E = KF31
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Ο Ε
F13
OE =
k
F
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Submit Answer
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The formula connecting E and F is E = k/F3, where k is a constant. This formula states that the value of E is inversely proportional to the cube of F.
That is, as F increases, the value of E decreases. For example, if F increases from 3 to 4, then the value of E decreases by a factor of 8.
This inverse proportionality between E and F3 is due to the fact that, as F increases, the cube of F increases at a faster rate. In other words, when F doubles, the cube of F increases by a factor of 8. This causes the value of E to decrease by the same factor of 8.
The formula is useful in many applications, such as in physics and engineering. For example, in physics, the formula can be used to calculate the force of an object in a gravitational field. The force is inversely proportional to the cube of the distance between the object and the center of gravity, where the constant k is equal to the gravitational constant. In engineering, the formula can be used to calculate the power of a motor, where the power is inversely proportional to the cube of the speed of the motor.
Overall, the formula E = k/F3 expresses the inverse proportionality between E and F3, and is used in various applications to calculate the value of E given the value of F.
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Someone helps…………………
Answer:
The third choice is correct
Step-by-step explanation:
Domain > or equal to -3, and range is less than or equal to -2
a certain statistic dˆ is being used to estimate a population parameter d. the expected value of dˆ is not equal to d. what property does dˆ exhibit?a. The sampling distribution of d hat is normal.b. The sampling distribution of d hat is binomial.c. The sampling distribution of d hat is uniform.d. d hat is unbiased.e. d hat is biased.
The right answer is: E, according to the Central Limit Theorem for proportionality. The statistic is inaccurate.
In probability theory, the central limit theorem establishes that, in many situations, when independent random variables are summed up, their properly normalized sum tends toward a normal distribution even if the original variables themselves are not normally distributed.
The Central Limit Theorem establishes that for a proportion p in a sample of size n:
The expected value is μ=р
The standard error is s=\(\sqrt{\frac{p(1-p)}{n} }\)
In this problem, the expected value is different of the expected of μ=р , hence, the statistic is biased, and the correct option is E.
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Lous diner spent $12.80 on 8 pounds of potatoes. What was the cost of one pound of potatoes? What would the cost be if the cost per pound remained the same and the diner bought 7 pounds?
Answer:
It costs $1.60 for 1lb of potatoes. It costs $11.70 for 7lb of potatoes.
Step-by-step explanation:
price per pound = 12.8 / 8 = $1.60 per pound
1.6 * 7 = cost for 7 pounds
1.6 * 7 = $11.20 for 7 pounds
PLZ HELP ME AND ANSWER RN PLZ PLZ PLZ!
a manufacturer of computer chips has a computer hardware company as its largest customer. the computer hardware company requires all of its chips to meet specifications of 1.2 cm. the vice-president of manufacturing, concerned about a possible loss of sales, assigns his production manager the task of ensuring that chips are produced to meet the specification of 1.2 cm. based on the production run from last month, a 95% confidence interval was computed for the mean length of a computer chip resulting in: 95% confidence interval: (0.9 cm, 1.1 cm) what are the elements that the production manager should consider in determining his company's ability to produce chips that meet specifications? do the chips produced meet the desired specifications? what reasons should the production manager provide to the vice-president to justify that the production team is meeting specifications? how will this decision impact the chip manufacturer's sales and net profit?
The production manager should address the fact that the chips produced do not meet the desired specifications and take necessary actions to ensure compliance, which will impact sales and net profit.
In determining the company's ability to produce chips that meet specifications, the production manager should consider the 95% confidence interval for the mean length of the computer chips, which is (0.9 cm, 1.1 cm). This interval indicates that there is a 95% probability that the true mean length of the chips falls within this range. Since the desired specification is 1.2 cm, the production manager needs to assess whether the confidence interval includes the desired value.
In this case, the chips produced do not meet the desired specifications because the lower bound of the confidence interval is below 1.2 cm. The production manager should provide the vice-president with an explanation that acknowledges the deviation from the desired specification. However, they can also emphasize that the company has taken steps to control the production process, ensuring that most chips are within a close range of the desired specification. They can highlight that the 95% confidence interval provides a level of certainty about the population mean length of the chips.
The decision to produce chips that do not meet the desired specifications may impact the chip manufacturer's sales and net profit. The computer hardware company, being the largest customer, may consider switching to another supplier that can consistently meet the specification of 1.2 cm. This potential loss of sales can have a negative impact on the manufacturer's revenue and profitability. The production manager should emphasize the importance of addressing the issue to retain the customer, maintain sales volume, and sustain the company's financial performance.
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letters x, y, and z are angle measures. which equations would guarantee that lines p and q are parallel? check all that apply.
a. x = z
b. x + y = 180 degree
c. x + z = 180 degree
d. x + y
e. y + z = 180
Answer:
Please read the assumptions that lead to the proposed answer of options a, b, and e being correct. Options c and d are easily rejected. The question is ambiguous about the locations of the angles.
Step-by-step explanation:
Parallel lines have slopes that are identical. Lines p and q have the same slopes.
It is difficult imagining what angles are represented by x, y, and z. There are only 2 lines, and they do not intersect. The locations of the angles are not identified. The lack of an intersecting point means it is free range as to where we assign the angles.
The attached graph illustrates some possibilities for x, y, and z. It uses two simple equations as examples, with the same slope to make them parallel. Assinment of any angles requires the use of an imaginary line that intersects the two parallel lines. Even then, there aren't many unique locations for the angles. To illustrate the analysis, lets assign the angles x, y, and z to thelocations shown on the graph.
Even with this huge step, there is limited information to be able to identify which of the answer options is correct. We can say that:
x = z
x+y=180
y+z=180
The answer options (below) appear to have similar relationships, so let's agree that the use of the imaginary line, plus the locations of x, y, and z are valid. Looking at the answer options, we can match choices a, b, and e to the conclusions above. d makes no sense because it is not an equation. c says that both lines must be perpendicular to the x axis, a limitation that is relatively immaterial to whether they are parallel. The condition of being parallel depends on those two angles being the same (e.g., 45 and 45, 22 and 22, etc.) and not require that they both be 90.
Answer Options Guarantee Parallel?
a. x = z Yes
b. x + y = 180 degree Yes
c. x + z = 180 degree No
d. x + y No
e. y + z = 180 Yes
The graph represents the system of inequalities shown below. Determine whether the statement that follows the
graph is true or false.
y greater than or equal to 6
5x+3y ≤ 15
f(x,y) - 12x+3y
Assuming that x ≥ 0 and y ≥ 0, the situation is infeasible: True.
What are the rules for writing an inequality?In Mathematics, these rules are generally used for writing and interpreting an inequality or system of inequalities that are plotted on a coordinate plane:
The line on a graph is a solid line when the inequality symbol is (≥ or ≤).The inequality symbol is greater than or equal to (≥) when a solid line is shaded above.The inequality symbol is less than or equal to (≤) when a solid line is shaded below.In this context, we can logically deduce that the given system of inequalities 5x+3y ≤ 15 and y ≥ 6 would not have a feasible solution set if they are subjected to x ≥ 0 and y ≥ 0:
Assuming the ordered pair (1, 2), we have:
y ≥ 6
2 ≥ 6 (False).
5x+3y ≤ 15
5(1) +3(2) ≤ 15
5 + 6 ≤ 15
11 ≤ 15 (True).
Therefore, it is not a feasible solution.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
most people lose 100 to 200 hairs per day. if you were to lose 150 hair per day for 10 days, what would be the change in the number of hairs you have
Answer:
-1500 hairs
Step-by-step explanation:
You lose 150 hairs for 10 days
150 * 10 = 1500 hairs
The change is lose of hair so it is negative
-1500 hairs
A tennis ball is in a cylindrical container. The ball has a radius of 5 inches and the cylinder has a height of 8 inches. How much wasted space (air) is there in the container? The tennis ball touched the sides, top, and bottom of the container.) Give your answer in terms of pi. *
Answer:
104.7 in^3
Step-by-step explanation:
Step one:
given data
The ball has a radius of 5 inches and
the cylinder has a height of 8 inches
Step two:
The volume of the cylinder
\(v= \pi r^2 h\)
substitute our data
\(v= 3.142*5^2*8\\\\v=628.4in^3\)
The volume of the ball
\(v=4/3 \pi r^3\)
substitute our data
\(v= 4/3 *3.142*5^3\\\\v= 523.7 in^3\)
The space will have a volume of
=628.4-523.7
=104.7 in^3
find x
49^(x+4)=7^(5x-1)
A. x=3
B. x=1
C. x=1/3
D. x=9/7
Answer:
A is the correct answer. x = 3.
Step-by-step explanation:
\( {49}^{x + 4} = {7}^{5x - 1} \)
\( {7}^{2(x + 4)} = {7}^{5x - 1} \)
\(2x + 8 = 5x - 1\)
\(3x = 9\)
\(x = 3\)
which number sentence can be used to find 42 divied by 7
Answer: isn't it 42÷7=6?
Answer:
42 / 7 = 6
Step-by-step explanation:
Just use a multiplication table.
find the missing sides of the triangle
Answer:
b. u=13√2 , v=13
Step-by-step explanation:
________
Answer:
u=13\(\sqrt{2}\) and v=13\(\sqrt{2}\)/2
Step-by-step explanation:
In order for an airline to cancel a flight, there needs to be over 6 inches of snow on the ground. Suppose we want to do a test to prove there is over 6 inches of snow on the ground. (Hint: in order to answer this question you should first write out the null and alternative hypotheses)
Answer:
Step-by-step explanation:
From the given question.
We can write the null hypothesis & the alternative hypothesis as:
Null hypothesis:
\(\mathbf{H_o: \mu \leq 6}\)
Alternative hypothesis:
\(\mathbf{H_{a}:\mu >6}\)
From above, let's think about the type I error we could make and the type II error we could make.
Type I error:
The type I error at the null hypothesis showcases that the snow level is at 6 inches or below 6 inches, but we falsely concluded that the snow level is high above sea level.
Type II error:
Here, the snow level is literally above 6 inches, hence, we failed to conclude that the snow level is above 6 inches.
Thus, the consequences of the above analysis showcase that type II error has higher severe consequences because it may result in a situation that may endanger the passengers' safety.