By reading the given graph with the two linear functions, we want to see at which time do the two bees have the same distance remaining. We will see that the correct option is B, 6 minutes.
So, in the graph, we have distance remaining on the vertical axis and time on the horizontal axis.
We also have two lines, each one describing the distance of each bee as a function of time.
We want to see at which time do the two bees have the same distance remaining, thus, we need to see when the lines intersect (this means that for the same time, the two bees have the same distance remaining).
In the graph, we can see that the intersection happens at the time of 6 minutes, thus the correct option is B; 6 minutes.
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Determine all minors and cofactors of the matrix A given below (5)
2 −1 1 3
0 1 1 3
2 1 1 0
2 0 −1 −2
1
A red die is tossed and then a green. die is tossed.
What is the probability that the red die shows a
number larger than 4 or the green die shows a
number less than 2?
The two events are not mutually exclusive. So to find the
probability of the union, use:
P(A or B) = P(A) + P(B) - P(A and B)
[?]
P(A or B)
=
8
P(B)
Green die
What is the probability of the red die rolling a
P(A)
Red die
+
-
8)
P(B)
P(A)
Red die Green die
number greater than 4?
Enter your answer in simplest form.
Enter
On solving the provided question, we can say that the probability of the red die rolling is 16.67% probability = 0.1667
What is probability?A branch of mathematics called probability theory determines the chance that an event will occur or that a statement is true. A probability is a number between 0 and 1, where 1 denotes certainty and about 0 denotes how probable an event is to occur. The possibility or likelihood that a specific event will occur is expressed numerically as a probability. Probabilities can also be expressed as percentages from 0% to 100% or as numbers between 0 and 1. the proportion of occurrences among all equally likely alternatives that lead to a certain event relative to all possible outcomes.
red die, there are 3 numbers greater than 3 out of 6 numbers
Probability (A) = 3/6 = 1/2.
green die, there are 2 numbers less than 3 out of 6 numbers
Probability (B) = 2/6 = 1/3.
events are independent
P(A and B) = \(P(A)P(B) = 1/2 X 1/3 = 1/6 = 0.1667\)\(P(A)P(B) = 1/2 X 1/3 = 1/6 = 0.1667.\)
16.67% probability = 0.1667
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The process standard deviation is 0.14, and the process control is set at plus or minus 2.4 standard deviations. Units with weights less than or greater than ounces will be classified as defects. What is the probability of a defect (to 4 decimals)
Answer:
The process standard deviation is 0.14, and the process control is set at plus or minus 2.4 standard deviations. Units with weights less than 10.664
Step-by-step explanation:
^
Which Expression Is Equivalent To 4(x+3)
A. 4x+3
B. 4x+12
C. 4x+3x
D. 4 + x+3
Answer:
B
Step-by-step explanation:
Distributive property
\(4(x + 3)\)
\(4 \times x + 4 \times 3\)
\(4x + 12\)
What is the solution to the equation ? (x - 2) ^ (1/2) + 4 = x
Answer:
x is equal to both 3 and 6.
Step-by-step explanation:
\(\sqrt{x - 2} + 4 = x\\\sqrt{x - 2} = x - 4\\x - 2 = (x - 4)^2\\x - 2 = x^2 - 8x + 16\\x^2 - 9x + 18 = 0\\(x - 3)(x - 6) = 0\\\)
So x values of 3 and 6 will make this statement true.
why is the sky blue? why is the water blue?
The sky appears blue because of Rayleigh scattering while water appears blue due to selective absorption and scattering of light.
Why does the sky appear blue and the water blue?The blue color of the sky is a result of Rayleigh scattering which occurs when the Earth's atmosphere scatters shorter wavelengths of light (blue and violet) more efficiently than longer wavelengths (red and orange).
When sunlight enters the atmosphere, the blue light is scattered in all directions by the molecules and tiny particles present in the air creating the blue appearance of the sky.
Similarly, water appear blue due to selective absorption and scattering of light. Water molecules selectively absorb colors from the visible light spectrum and absorb longer wavelengths (such as red) more effectively than shorter wavelengths (such as blue).
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What’s the answer? Can you plz help?
Answer:
they are equal
Step-by-step explanation:
Type < or > to make this statement true -a___-b
The comparisons that are true are 11. -5 < 0 12. 9 > -8 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 19. 17 < 23 20. 18 > -36 and that is not true are 13. -7 = -7 (not true) 18. -32 > 4 (not true)
To make each statement true, write < or >. We need to compare two values for each statement to determine whether it is true or false.
To indicate that the first value is less than the second value, write <.
Alternatively, to indicate that the first value is greater than the second value, write >.
Below are the comparisons: 11. -5 < 0 12. 9 > -8 13. -7 > -7 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 18. -32 > 4 19. 17 > 23 20. 18 > -36
To determine the direction of inequality, we need to compare the values.
We used inequality signs such as > (greater than) or < (less than) to indicate which value is larger or smaller than the other.
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The correct question would be as
Write > or < to make each statement true.
11. -5 0
12. 9 -8
13. -7 7
14. 55 -75
15. -32 -24
16. 89 73
17. -58 -51
18. -32 4
19. 17 23
20. 18 -36
Can someone help? What's the answer. Best answer gets brainliest
Answer:
C.
Step-by-step explanation:
Find the length of side x in simplest radical form with a rational denominator.
Answer:
\(6\sqrt{3}\)
Step-by-step explanation:
because of the 90-60-30 theorem
which \(6*\sqrt{3}=6\sqrt{3}\)
Luisa is solving an equation on the bottom of a page. The corner of the page where the
equation is written is torn off as shown below.
7(x + 3) = 7(x + 5)
Luisa knows only one number was torn off, and she knows that the equation has an infinite number of solu-
tions. What must be the missing number?
A 2
B 14
C 21
D 35
To solve the equation 7(x + 3) = 7(x + 5), we can start by simplifying both sides of the equation:
7x + 21 = 7x + 35
Subtracting 7x from both sides, we get:
21 = 35
This is a contradiction, as 21 is not equal to 35. Therefore, the equation has no solution.
However, the problem states that the equation has an infinite number of solutions. This can only happen if the missing number is a factor that appears on both sides of the equation, and therefore cancels out when we simplify the equation.
Looking at the equation, we can see that both sides have a factor of 7, which cancels out when we simplify the equation. Therefore, the missing number must be the factor that was torn off, which is 7 multiplied by the difference between the two numbers inside the parentheses:
7(5 - 3) = 14
Therefore, the missing number is 14, which corresponds to answer option B.
please help me solve
Answer:
130 degrees
Step-by-step explanation:
DE+DA=130
Paul owns a mobile wood-fired pizza oven operation. A couple of his clients complained about his dough at a recent catering, so he changed his dough to a newer product. Using the old dough, there were 6 complaints out of 385 pizzas. With the new dough, there were 16 complaints out of 340 pizzas. Let p 1 be the proportion of customer complaints with the old dough and p 2 be the proportion of customer complaints with the new dough. State the competing hypotheses to determine if the proportion of customer complaints using the old dough is less than the proportion of customer complaints using the new dough g
Answer:
\(z=\frac{0.0156-0.0471}{\sqrt{0.0303(1-0.0303)(\frac{1}{385}+\frac{1}{340})}}=-2.469\)
Now we can calculate the p value with this probability:
\(p_v =P(Z<-2.469)= 0.0068\)
Since the p value is a very low value and using any significance level 5% or 10% we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of customer complaints using the old dough is less than the proportion of customer complaints using the new dough.
Step-by-step explanation:
Information provided
\(X_{1}=6\) represent the complaints with the old dough
\(X_{2}=16\) represent the complaints with the new dough
\(n_{1}=385\) sample 1 selected
\(n_{2}=340\) sample 2 selected
\(p_{1}=\frac{6}{385}=0.0156\) represent the proportion of complaints with the old dough
\(p_{2}=\frac{16}{340}=0.0471\) represent the proportion of complaints with the new dough
\(\hat p\) represent the pooled estimate of p
z would represent the statistic
\(p_v\) represent the value
Hypothesis to test
We want to verify if the proportion of customer complaints using the old dough is less than the proportion of customer complaints using the new dough, the system of hypothesis would be:
Null hypothesis:\(p_{1} \geq p_{2}\)
Alternative hypothesis:\(p_{1} < p_{2}\)
The statitsic is given by:
\(z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}\) (1)
Where \(\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{6+16}{385+340}=0.0303\)
Replacing the info provided we got:
\(z=\frac{0.0156-0.0471}{\sqrt{0.0303(1-0.0303)(\frac{1}{385}+\frac{1}{340})}}=-2.469\)
Now we can calculate the p value with this probability:
\(p_v =P(Z<-2.469)= 0.0068\)
Since the p value is a very low value and using any significance level 5% or 10% we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of customer complaints using the old dough is less than the proportion of customer complaints using the new dough.
In a binomial experiment :________
a. the probability does not change from trial to trial
b. the probability does change from trial to trial
c. the probability could change from trial to trial, depending on the situation under consideration
d. None of these alternatives is correct.
Answer:
Hence the correct option is Option (a).
Step-by-step explanation:
Option (a) is correct.
The probability does not change from trial to trial.
p = Probability of sucess.
what is the difference between ANOVA and Z-test Hypothesis
The difference between ANOVA and Z-test Hypothesis is the Z-test is employed to contrast the averages of single or dual populations, whereas ANOVA is utilized for assessing the means across three or more clusters.
How to determine the differenceThe Z-test becomes possible in the comparison of the mean of a sample to that of the population. It evaluates if there is statistical relevance in the difference between the mean of a sample and the mean of the whole population
In contrast, ANOVA is employed to contrast the averages of three or more separate groups. This assesses if there is a noteworthy distinction in the averages of said groups. The F-statistic in ANOVA is computed by assessing the disparity in variability between groups and the variability within groups.
In a nutshell, the Z-test is employed to contrast the averages of single or dual populations, whereas ANOVA is utilized for assessing the means across three or more clusters.
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Pls help step by step (special right triangles)
Value of base and hypotenuse of triangle are 9√3 and 18 respectively.
Define right triangleA right triangle is a triangle with one interior angle measuring 90 degrees, known as a right angle. The side opposite to the right angle is called the hypotenuse, and the other two sides are known as the legs of the right triangle. The length of the hypotenuse can be found using the Pythagorean theorem, that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.
Height of triangle=9
Base of triangle=y
Hypotenuse of triangle=x
Using trigonometric ratio
Sin30°=Height/Hypotenuse
½=9/x
x=18
Cos30°=Base/hypotenuse
√3/2=y/18
y=9√3
Hence, value of base and hypotenuse of triangle are 9√3 and 18 respectively.
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What should I do please help
3⁵ means, multiply 5 factors of 3.
Regs.
Spinner A and Spinner B below are each to be spun once.
0 18
O 12
6
Spinner A
5
2
4
00
D
3
20 of 21
If the pointer cannot land on a line, how many different outcomes of a number and a color are possible?
v
Spinner B
Yellow
Brown
12 13
Red
Answer:
Step-by-step explanation:
Regs.
Spinner A and Spinner B below are each to be spun once.
0 18
O 12
6
Spinner A
5
2
4
00
For the past three years, Nigel has grown 1 1/5 inches each year. How many total inches has he grown in the past three years?
Answer: 3.6? I believe is the right answer.
:D
Step-by-step explanation: 1 1/5 times 3 is how I got 3.6
Answer:
3 3/5
Step-by-step explanation:
Nigel would have grown 3 3/5 inches in the past 3 years
( 6/5 x 3/1 )
( =18/5 )
and then you would be simplifying 18/5
and that's how you would get your answer 3 3/5
.......Can I please be marked Brainliest
please thank you:)
Random samples of resting heart rates are taken from two groups. Population 1 exercises regularly, and Population 2 does not. The data from these two samples is given below:
Population 1: 63, 70, 69, 70, 68, 71, 71
Population 2: 72, 71, 75, 70, 80, 75, 74, 72
Is there evidence, at an α=0.05 level of significance, to conclude that there those who exercise regularly have lower resting heart rates? (Use the conservative method for computing degrees of freedom). Carry out an appropriate hypothesis test, filling in the information requested.
A. The value of the standardized test statistic:
B. The p-value is
The value of the standardized test statistic: -2.14
Explain hypothesis test.
A hypothesis test is a statistical procedure used to test a hypothesis about a population parameter. It involves comparing a sample statistic to a hypothesized value of the population parameter, using a test statistic and a pre-determined level of significance.
A. The value of the standardized test statistic: -2.14
B. The p-value is 0.0335 with explanation. This value is obtained by finding the probability of getting a t-statistic of -2.14 or less from the Student's t-distribution with 12 degrees of freedom (6 observations from each group). This p-value is less than the significance level of 0.05, so there is evidence to conclude that those who exercise regularly have lower resting heart rates.
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*Today's Assignment*
Design a salary slip for the month of March 2023 with information given below.
Fixed vs variable ratio- 70:30
Ctc - 18L
Basic- 50%
Hra- 20%
Da - 12%
Insurance - 2500
Incentive- 75% target completion
Pf 12%
Earned leaves - 2
LOP - 4
Calculate net pay
A salary slip for the month of March 2023 with information given below.
Salary Slip - March 2023
Employee Details:
Name: [Employee Name]
Employee ID: [Employee ID]
Designation: [Employee Designation]
Earnings:
Basic Salary: [Basic Salary]
House Rent Allowance (HRA): [HRA]
Dearness Allowance (DA): [DA]
Incentive: [Incentive]
Total Earnings: [Total Earnings]
Deductions:
Provident Fund (PF): [PF]
Insurance: [Insurance]
Loss of Pay (LOP): [LOP]
Total Deductions: [Total Deductions]
Net Pay: [Net Pay]
Breakdown:
Basic Salary: 50% of CTC (18L) = [Basic Salary]
HRA: 20% of Basic Salary = [HRA]
DA: 12% of Basic Salary = [DA]
Incentive: 75% of target completion = [Incentive]
Total Earnings = Basic Salary + HRA + DA + Incentive = [Total Earnings]
PF: 12% of Basic Salary = [PF]
Insurance: Rs. 2500 = [Insurance]
LOP: [LOP]
Total Deductions = PF + Insurance + LOP = [Total Deductions]
Net Pay = Total Earnings - Total Deductions = [Net Pay]
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Solve the Equation , I tried multiplying that 6 to the numbers in the parentheses but i couldnt get it
To start we will do what you said, multiply the 6, so:
6*(n-4)=3n
6n-6*4=3n
6n-24=3n
6n=3n+24
6n-3n=24
3n=24
n=24/3
n=8
So the answer is: 8
I thought I understood how to get the answer, but I got the second question wrong so I don't know what to do. Can anyone explain to me how to do it? I also am dyslexic and have a hard time rounding numbers. So, I dont think I understood how to round to the nearest dollar.
Answer:
$223,787
Step-by-step explanation:
r = 0.02
C = 191,000
t = 8
S = 191,000 (1 + 0.02)⁸
Follow order of operations (PEMDAS).
S = 191,000 (1.02)⁸
S = 191,000 (1.171659381)
S = 223,786.9
(We want to round to the nearest dollar, which is the ones place, so ignore all digits after the tenths place.)
Rounding, S = 223,787
Be sure you entered only the answer and not the C−1 notation.
SEE ATTACHED IMAGE BELOW
The answer is 368
\(\begin{gathered} C^{-1}(95) \\ \Rightarrow y=95 \\ then\text{ obtain x} \\ and\text{ x=368} \end{gathered}\)Show the algorithm/abstract strategy to justify the 3/5?
The algorithm/abstract strategy to justify the fraction 3/5 involves interpreting it as a division, performing the division, and obtaining the decimal representation as the results.
To justify the fraction 3/5, we can use the concept of division and understand it as a ratio or proportion.
Algorithm/Abstract Strategy:
Start with the numerator, which is 3.
Identify the denominator, which is 5.
Interpret the fraction as a ratio or comparison between the numerator and denominator.
Understand that 3/5 represents a division where the numerator (3) is divided by the denominator (5).
Perform the division: 3 ÷ 5.
Simplify the division to its simplest form, if necessary.
The result of the division, in this case, is the decimal representation of the fraction.
If required, convert the decimal representation to a percentage or any other desired form.
For example, if we perform the division 3 ÷ 5, the result is 0.6.
So, 3/5 can be justified as the ratio or proportion where the numerator (3) is divided by the denominator (5) resulting in 0.6.
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Please help me solve this
BA=(3),(3),(-1) is the answer
You start at (-1, -4). You move up 8 units and right 3 units. Where do you end?
The answer should be 2, 4.
Please someone help!!!
Answer:
Step-by-step explanation:
A, B and C must be real numbers, and A and B are not both zero (which would cause division by zero in the calculation of the slope).
quadratic regression for (1,-8) (2,-4) (3,6)
The quadratic regressiοn equatiοn fοr the given data pοints is y = 5x² - 20x + 7
What is quadratic equatiοn?
A secοnd-degree equatiοn οf the fοrm ax² + bx + c = 0 is knοwn as a quadratic equatiοn in mathematics. Here, x is the variable, c is the cοnstant term, and a and b are the cοefficients.
Tο find the quadratic regressiοn equatiοn fοr the given data pοints, we need tο fit a quadratic equatiοn οf the fοrm y = ax² + bx + c tο the data.
We can start by using the three given pοints tο set up a system οf three equatiοns:
\((1,-8): a(1)^2 + b(1) + c = -8\\\\(2,-4): a(2)^2 + b(2) + c = -4\\\\(3,6): a(3)^2 + b(3) + c = 6\)
SimpIifying each equatiοn, we get:
a + b + c = -8 (equatiοn 1)
4a + 2b + c = -4 (equatiοn 2)
9a + 3b + c = 6 (equatiοn 3)
AIternativeIy, we can use technοIοgy such as a caIcuIatοr οr spreadsheet tο sοIve the system.
SοIving the system using technοIοgy, we get:
a = 5
b = -20
c = 7
Therefοre, the quadratic regressiοn equatiοn fοr the given data pοints is:
y = 5x² - 20x + 7
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Find the mode of the following numbers.
21, 7, 19, 21, 60, 21, 19
Answer:
The mode is 21.
Step-by-step explanation:
Mode is a number than appears most frequently in a set of numbers.
Answer:
\(21\)
Step-by-step explanation:
The Most frequently number that appears in a set of numbers is called as mode.
21 , 7 , 19 , 21 , 60 , 21 , 19
Now here we can clearly see that 21 is the most frequent number that appears in the text.
hope this helps
brainliest appreciated
good luck! have a nice day!