Answer:
\(1. b\\ 2. c\\ 3.c \\ 4. a\\ 5.b\)
Step-by-step explanation:
.
A new test is developed to test for organic matter in soil samples, giving "positive" or "negative" results to indicate that a sample does or does not contain organic matter.
For a soil sample that contains organic matter, the test will give a positive result 95% of the time and a negative result (false negative) 5% of the time. For a soil sample that does not contain organic matter, the test will give a positive result (false positive) 20% of the time and a negative result 80% of the time.
A study included a population of 1,000 soil samples, and 70% of those studied where known to contain organic matter.
Fill in the missing values in the table and statement below. If necessary, round the percentage to one decimal place.
Number of
Samples Positive
Result Negative
Result
Contains
Organic Matter 700 665
Does Not Contain
Organic Matter 300
240
If a soil sample test gives a positive result, it is
% likely that the soil sample contains organic matter.
Answer:
\(\begin{array}{cccc}{} & {Samples} & {Positive} & {Negative} & {Contains\ Organic\ Matter} & {700} & {665} & {[35 ]} & {Does\ not\ contain\ organic\ matter} & {300} & {[60]} & {240} \ \end{array}\)
\(\% Pr= 95\%\)
Step-by-step explanation:
Given
\(\begin{array}{cccc}{} & {Samples} & {Positive} & {Negative} & {Contains\ Organic\ Matter} & {700} & {665} & {[\ ]} & {Does\ not\ contain\ organic\ matter} & {300} & {[\ ]} & {240} \ \end{array}\)
Solving (a): Complete the table
The sum of each row must equal to the samples.
i.e.
\(Positive + Negative = Samples\)
For the samples that contain organic matter, we have:
\(665 + Negative = 700\)
Collect like terms
\(Negative = 700 - 665\)
\(Negative = 35\)
For the samples that do not contain organic matter, we have:
\(Positive + 240 = 300\)
Collect like terms
\(Positive = 300 -240\)
\(Positive = 60\)
So, the complete table is:
\(\begin{array}{cccc}{} & {Samples} & {Positive} & {Negative} & {Contains\ Organic\ Matter} & {700} & {665} & {[35 ]} & {Does\ not\ contain\ organic\ matter} & {300} & {[60]} & {240} \ \end{array}\)
Solving (b): Proportion of samples that are positive if the sample contains organic matter
From the table, we have:
\(Samples = 700\)
\(Contains\ Organic\ Matter\ n\ Positive = 665\)
So, the percentage is:
\(\%Pr = \frac{Contains\ Organic\ Matter\ n\ Positive}{Samples} * 100\%\)
\(\% Pr= \frac{665}{700} * 100\%\)
\(\% Pr= \frac{665* 100}{700} \%\)
\(\% Pr= \frac{66500}{700} \%\)
\(\% Pr= 95\%\)
Answer:
35, 60, 95%
Step-by-step explanation:
correct
643=4 x 160 + n write what n represents in the related division problem
Answer: n is 3
Step-by-step explanation: As you multiply 4 and 160 you'll end up with 640 then add n which then adds to 643. This indicates that n is 3.
PLEASE HELP ME PLEASE
Answer:
5
Step-by-step explanation:
Regression analysis was applied between sales (in $1000) and advertising (in $100) and the following regression function was obtained:
y(hat)= 500 + 4x
Based on the above estimated regression line if advertising is $10,000, then the point estimate for sales (in dollars) is:
A.) $900
B.) $900,000
C.) $40,500
D.) $505,000
The point estimate for sales with an advertising spending of $10,000 is given as follows:
B.) $900,000.
What is defined by the linear regression equation?The linear regression equation for this problem is defined as follows:
y = 500 + 4x.
The variables for the equation are given as follows:
The variable x represents the advertising money spent, in hundreds of dollars.The variable y represents the sales, in thousands of dollars.If advertising is $10,000, the value of x is given as follows:
x = 10000/100 = 100.
(as each unit of x represents $100).
Thus the point estimate of the sales is obtained as follows:
y = 500 + 4(100) = 500 + 400 = 900.
As each unit of y is measured in thousands of dollars, the sales were of $900,000, meaning that the correct option is given by option B.
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A 2015 Gallup poll of 1,627 adults found that only 22% felt fully engaged with their mortgage provider.
What is the sample size? Give only the number:
The margin of error for this data set is 2.5%. What is the 95% confidence interval for those who say they felt fully engaged with their mortgage provider (rounded to 1 decimal place)?
The sample size for the Gallup poll is 1,627 adults. The 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).
To calculate the 95% confidence interval, we need to consider the margin of error. The margin of error is given as 2.5%, which means that we need to account for plus or minus 2.5% around the observed proportion of 22%.
First, let's calculate the margin of error:
Margin of Error = 2.5% of 22% = 0.025 * 22% = 0.0055
Next, we can calculate the lower and upper bounds of the confidence interval:
Lower Bound = 22% - Margin of Error = 22% - 0.0055 = 21.995% ≈ 22.0%
Upper Bound = 22% + Margin of Error = 22% + 0.0055 = 22.005% ≈ 22.0%
Therefore, the 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).
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Mr Rahim bought a set of furniture at a 30% discount. The discounted price was $360 less than the usual price. GST is 7% of the discounted price. How much did he pay for the furniture set?
Answer:
I LOVE YOU I LOVE YOU I LOVE YOU I LOVE YOU
In △JKL , if m∠ J < 90° , then ∠K and ∠L are _____
Both angle K and angle L must be acute angles, measuring less than 90 degrees, in order to satisfy the conditions of the given triangle.
In triangle JKL, if angle J is less than 90 degrees, then angle K and angle L are both acute angles.
An acute angle is defined as an angle that measures less than 90 degrees. Since angle J is given to be less than 90 degrees, it is an acute angle.
In a triangle, the sum of the interior angles is always 180 degrees. Therefore, if angle J is less than 90 degrees, the sum of angles K and L must be greater than 90 degrees in order to satisfy the condition that the angles of a triangle add up to 180 degrees.
Hence, both angle K and angle L must be acute angles, measuring less than 90 degrees, in order to satisfy the conditions of the given triangle.
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Use the properties of exponents to simplify the expression:
The simplified expression for \($(27^{\frac{1}{2} }) ^{\frac{2}{3} }\) is equal to 3.
How can you simplify → aˣ/aⁿ?We can write the simplified form of the given expression using the exponent rule as -
{aˣ/aⁿ} = {aˣ a⁻ⁿ} = {aˣ ⁻ ⁿ}
Given is the expression as -
\($(27^{\frac{1}{2} }) ^{\frac{2}{3} }\)
We can simplify the expression as -
\($(27^{\frac{1}{2} }) ^{\frac{2}{3} } = (27)^{\frac{1}{2} \times \frac{2}{3} }\)
\($(27^{\frac{1}{2} }) ^{\frac{2}{3} } = 27^{\frac{1}{3} }\)
\($(27^{\frac{1}{2} }) ^{\frac{2}{3} } = (3)^{3}^{\frac{1}{3} }\)
\($(27^{\frac{1}{2} }) ^{\frac{2}{3} } = 3\)
Therefore, the simplified expression for \($(27^{\frac{1}{2} }) ^{\frac{2}{3} }\) is equal to 3.
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is - 5/1 a integer?
Abe laid three shortest worms together end to end what is the total length of these three worms
Based on the information provided, the total length of the worms would be 6 1/2 inches.
How to calculate the length of the worms?The graph presented shows the length of the worms Abe measured, based on the graph we know that the shortest worm was 2.125 inches, while the longest worm was 2.875 inches. Using this information, let's now add the three shortest worms together:
2.125 inches + 2.125 inches + 2.25 inches = 6.5 inches in total, which can be expressed ad 6 1/2.
Based on this, the total length of the three shortest worms would be 6 1/2.
Note: This question is incomplete; here is the complete question:
Abe measured the lengths of several worms. He made this line plot to display his measurements. Abe laid the three shortest worms together end to end. What is the total length of these three worms?
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Point L is on line segment KM. Given LM = 5 and KL = 12, determine the length KM.
ANSWER
KM = 17
EXPLANATION
We have that point L is on the line segment KM.
Let us draw a diagram to represent it:
From the diagram, we see that the length of KM is the sum of the lengths of KL and LM.
This means that:
KM = KL + LM
KM = 12 + 5
KM = 17
That is the value of the length of KM.
Lets find the square of the no. from 1 to 10. Then observe the digits at one's place of each square no. what did you notice Write a short note.
The observation of the pattern is discussed below.
When we calculate the squares of the numbers from 1 to 10 and observe the digits at the one's place of each square, we notice a pattern:
1²=1
2²=4
3²=9
4²=16
5²=25
6²=36
7²=49
8²=64
9²=81
10²=100
If we focus on the digits at the one's place, we can see that they form a repeating pattern: 1, 4, 9, 6, 5, 6, 9, 4, 1, 0. This pattern repeats itself as we calculate the squares of higher numbers.
This observation is known as the "digit at one's place pattern" or the "units digit pattern." It occurs because the square of any number depends only on the digit at the one's place of that number. Hence, when we square numbers that have the same digit at the one's place, we get the same digit at the one's place in the result.
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PLEASE HELP ME .......!!
Answer:
wait is that a test if it is cheating
Step-by-step explanation:
well the first one go on the bottom 2 row secound one first row third first row but it is in happpy i am not reall good at math XD third last row forth very happy fifth on unhappy sixth very unhappy seven very unhappy eight on very happy i think i got it i did this before i just don't rembear but i tried
I need help quickly A committee is to consist of two members if there are seven men and five women available to serve on the committee and you need to choose 1 man and 1 woman how many different committees can be formed?
Answer:
35
Step-by-step explanation:
You want to know the number of 2-person committees that can be formed from 7 men and 5 women if one of each is on the committee.
NumberAny of 7 men can be chosen. For each of those, any of 5 women can be chosen. The number of possible committees is ...
7 × 5 = 35
35 different committees can be formed.
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Please help asap need this answer fast.
Answer:
D
Step-by-step explanation:
Because 2×2 is 12 and 12×5 is 60
factor and graph the equation -0.01x² +0.5x
The graph and factor to the given equation are x= 50 or x=0.
What is equation?
An equation may be a formula in arithmetic that expresses the equality of 2 expressions by connecting them with the sign =.
Main body:
I am assuming the equation as : -0.01\(x^{2}\) + 0.5x =0
Now first removing the decimal from the equation ,
-\(x^{2}\)/100 + 5x/10 = 0
-\(x^{2}\) + 50 x = 0
switching signs , we get
\(x^{2}\) - 50x= 0
taking x as common
x(x-50) =0
so either x = 0
or
x- 50 = 0
x =50
Hence the value of x are 0 or 50.
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HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!! CERTAIN ANSWERS AND I WILL MARK YOU AS BRAINIEST!!!! WISH YOU BEST OF LUCK HOPEFULLY ITS NOT TOO MUCH!
Answer:
1)
Minimum is a 4th Degree
2)
Positive; Even
3)
\(x=-4, -1\text{ Odd Multiplicity}\\x=3\text{ Even Multiplicity}\)
Step-by-step explanation:
Part 1)
The minimum degree of our function will be 4.
Looking at the graph, we know that the graph crosses the x-axis at -4 and -1. Since it crosses through the x-axis at these two points, these two factors must have an odd multiplicity.
So, it can be anything 1, 3, 5, 7, etc.
However, we will choose the lowest one, 1.
Next, we know that the graph bounces off at 3.
So, it must have an even multiplicity. In other words, 2, 4, 6, 8, etc.
We choose the lowest one, 2.
Therefore, the minimum degree of our function will be 1+1+2 or 4.
Part 2)
The degree of our polynomial is (and will always be) even. Therefore, both ends of the graph will go in the same direction.
Recall the simplest even polynomial, the parent quadratic function. When the leading coefficient is positive, both of the ends go straight up.
This applies to all polynomials with even degrees.
Therefore, since the arms of the graph is going straight up towards positive infinity, the leading coefficient of our graph must be positive.
Part 3)
This is similar to Part 1.
We can see that the graph touches the x-axis at -4, -3, and 1. So, the zeros of the function is: \(x=-4, -1, 3\)
We know that it passes through \(x=-4 \text{ and } x=-1\) . So, these two factors must have an odd multiplicity.
However, since the graph bounces off \(x=3\), this factor must have an even multiplicity.
And we're done!
How many centiliters are in 0.00005 liters?
0.00005 L = [?] cL in standard form.
The number of centilitres which is equivalent to 0.00005 liters as required to be expressed in standard form is; 5 × 10-² cL.
What is the number of centilitres in 0.00005 litres?Recall that; it follows from metric systems that;
100 centilitres = 1 litres.
On this note, it follows from proportion that the number of centilitres present in 0.00005 litres as required is;
= 0.00005 × 100 centilitres
= 0.005 centilitres.
Ultimately, when expressed in standard form, it follows that the number of centilitres in 0.00005 liters is; 5 × 10-² cL.
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Matthew has a standard deck of cards. There are four suits with 13 cards in each from ace through to king.
He shuffles the deck and selects one card and then another. In its simplest form, what is the probability that he draws a pair of tens?
Answer:
Step-by-step explanation:
Probability of getting pair of 10's: 1/221
We have the following information available from the question is:
There are four suits with 13 cards in each from ace through to king.
Two cards one after another are drawn from a deck of 52 cards.
We have to find the probability that he draws a pair of tens.
Now, According to the question:
We know that:
In a pack of 52 cards, there is 4 tens:
Then, Probability of getting 10 in first attempt:
= 4/52
After drawn first ten, There is 51 cards are remaining in a pack of cards and no. of ten's = 3
Probability of getting 10 in 2nd attempt :
= 3/51
Probability of getting pair of 10's:
\(=\frac{4}{52} (\frac{3}{51} )=\frac{12}{2652}\)
=> 1/221
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Let S = {1,2,3,...,18,19,20} be the universal set. Let sets A and B be subsets of S, where: Set A = {1, 3, 4, 6, 7, 9, 12, 16, 17, 18} Set B = {1, 2, 3, 4, 6, 10, 11, 12, 13, 14, 15, 16, 17} LIST the elements in Set A and Set B: { } LIST the elements in Set A or Set B: { Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE
Answer:
35/A
Step-by-step explanation:
it is different questions
749/d * d/749 = 1
d=?
Answer:
D=1
Step-by-step explanation:
1. Combine multiplied terms into a single fraction
2. Cancel terms that are in both numerator and denominator
3. Divide by 1
Answer:
I honestly don't know but I think its all real numbers but not zero
Step-by-step explanation:
Brainliest if correct
Answer:
Below
Step-by-step explanation:
a) 2nd one
b) 3rd one
c) 2nd one
Cuanto cobrara un empleado tras recibir su sueldo un 25% si cobra 23,750
El nuevo sueldo, luego de un incremento del 25%, será $29,678.50
¿Cual será el nuevo sueldo del empleado?Recordar que si tenemos un número A, y lo incrementamos en un porcentaje X, entonces el nuevo número será:
A' = A*(1 + X/100%)
En este caso el valor inicial is $23,750, y lo incrementamos en un 25%, entonces el nuevo sueldo esta dado por la expresion de abajo.
A' = $23,750*(1 + 25%/100%)
A' = $23,750*(1.25) = $29,678.50
El núevo sueldo del empleado, luego del aumento, será $29,678.50.
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What is the mean of this data?
12, 9, 4, 10, 15
Enter your answer in the box.
Step-by-step explanation:
the mean is always the sum of all data divided by the number of data points.
we have 5 data points.
their sum is
12 + 9 + 4 + 10 + 15 = 50
the mean is
50/5 = 10
differenciate the Function 1/ X3
Step-by-step explanation:
To differentiate the function f(x) = 1/x^3, we can use the power rule of differentiation. Here's the step-by-step process:
Write the function: f(x) = 1/x^3.
Apply the power rule: For a function of the form f(x) = x^n, the derivative is given by f'(x) = nx^(n-1).
Differentiate the function: In our case, n = -3, so the derivative is:
f'(x) = -3 * x^(-3-1) = -3 * x^(-4) = -3/x^4.
Therefore, the derivative of the function f(x) = 1/x^3 is f'(x) = -3/x^4.
I need help with 1 - 4 please someone
Answer:
-3
Step-by-step explanation:
state the amplitude, period, and phase shift for y=2sin3(x-π/4)
The amplitude, the period and the phase shift are 2, 2π / 3 and π / 4, respectively.
What is the amplitude, the period and the phase shift of a sinusoidal function?
In this problem we have a sinusoidal function with the following features, which are described below:
y(t) = A · sin [(2π / T) · (x - Ф)]
Where:
A - AmplitudeT - PeriodФ - Phase shiftThen, amplitude, period and phase shift of the sinusoidal function are found by direct inspection:
Amplitude
A = 2
Period:
2π / T = 3
T = 2π / 3
Phase shift
Ф = π / 4
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Please help! I don't know how to do slopes.
The slope of the given line in the image is -4 , Option A is the answer.
What is the equation of a straight line ?The equation of the straight line is given by
y =mx +c ,
Where m is the slope , C is the intercept
The line is passing through the point
(-1,8) ,(2,-4)
The slope is given by
m = (y₂-y₁) /(x₂-x₁)
m = (-4 - 8 )/(2 +1)
m = -12/3
m = -4
Therefore the slope of the given line in the image is -4 , Option A is the answer.
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Perform the following mathematical operation, and report the answer to the appropriate number of significant figures.
1204.2 + 4.72613 = [?]
The answer is not 1208.92613
The result of the addition operation of 1204.2 + 4.72613 is approximately 1208.93.
What is an addition operation?An addition operation involves two addends added together to result in a number called the sum.
The addition operation is one of the four basic mathematical operations, including subtraction, division, and multiplication.
Mathematical operations combine numbers, variables, and values with mathematical operands to solve mathematical questions.
1204.2 + 4.72613
= 1208.92613
= 1208.93
Thus, the addition of 1204 and 4.72613 yields a total of 1208.93 approximately.
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x/ -5 > =-6 please help me out
Answer:
\(x \leqslant 30\)
\( \frac{x}{ - 5} > = - 6\)
Answer :\( \frac{x}{ - 5} \div 6 = \)
\( = x < 30\)