Answer:
(2,6)
Step-by-step explanation:
it will be 2and 6
y=-2+4x
2x-5y=_26
-18x+10=-26
y=-2+4x
x=2
y=-2+4x
y=-2+4(2)
y=6
Select the correct answer. Positive Test Negative Test Subject is diabetic 35 3 Subject is not diabetic 5 28 A test subject is randomly selected for a diabetes test. What is the probability of getting a subject who is not diabetic, given that the test result is negative? Find the probability using the data table. A. 0.10 B. 0.12 C. 0.50 D. 0.90
The probability of getting a subject who is not diabetic, given that the test result is negative, is approximately 0.1786.
To find the probability of getting a subject who is not diabetic, given that the test result is negative, we can use the data provided in the table. From the table, we can see that out of the total subjects tested, 5 are not diabetic and have a negative test result. The total number of subjects with a negative test result is 28.
To calculate the probability, we divide the number of subjects who are not diabetic and have a negative test result (5) by the total number of subjects with a negative test result (28).
Probability = Number of subjects who are not diabetic and have a negative test result / Total number of subjects with a negative test result
Probability = 5 / 28
Simplifying this fraction, we get:
Probability ≈ 0.1786
Therefore, the probability of getting a subject who is not diabetic, given that the test result is negative, is approximately 0.1786.
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5x + 6 = 2(2x – 3)
x =
I believe this is algebra and if I correctly remember you have to look at the related numbers and take the symbol to the number on the left and make a problem out of it, if you understand what I mean. so 5x + 2x = 7x and 6 - 3 = 3.
7x = 2(3)I hope you understand what I said and if you do it should help you in future questions. The bold numbers are the answer.
A group of 18 people need to take an elevator to the top floor. They will go in groups of six. They are deciding who will take the elevator on its second trip.
The remaining six people will take the elevator on its second trip.
How to determine who will take the elevator on its second trip.Since the group of 18 people will go in groups of six, we can determine the number of trips required to take all 18 people to the top floor.
The first trip will consist of six people, leaving 18 - 6 = 12 people remaining.
The second trip will also consist of six people, leaving 12 - 6 = 6 people remaining.
Therefore, the remaining six people will take the elevator on its second trip.
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An advertising company is purchasing a new industrial-sized color printer. The company has been approved for a $75,000 loan at two different
banks. The terms of each loan are:
Offer 1: 4.99% annual simple interest, with a total account balance of $91,529.38 after a 53-month term
Offer 2: 3.5% annual interest compounded monthly for a 62-month term
Assuming no payments are made, what is the difference in the account balances at the end of the loan terms. Round your answer to the nearest
penny.
O $1,624.49
$1,686.87
$1,894.02
O $2,207.67
The difference in the account balances at the end of the loan terms is given as follows:
$1,686.87.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)
In which:
P is the principal, which is the value of deposit/loan/....r is the interest rate, as a decimal value.n is the number of times that interest is compounded per year, annually n = 1, semi-annually n = 2, quarterly n = 4, monthly n = 12.The parameters for the offer 2 are given as follows:
P = 75000, r = 0.035, n = 12, t = 62/12.
Hence the balance of the offer 2 is given as follows:
B = 75000 x (1 + 0.035/12)^(12 x 62/12)
B = $89,842.51.
The balance of Offer 1 is of $91,529.38, hence the difference in the balances is given as follows:
91529.38 - 89842.51 = $1,686.87.
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12km
Radius=
Diameter:
When Donetle stands at point R, he is 1000 feet from point S at the base of a cliff.
When he looks up at an angle of 20 degrees, he sees a friend at the top of the mountain cliff at point T. Which measurement is the closest to the height of the mountain cliff in feet?
342
364
940
2747
Answer:
Step-by-step explanation:
The value of measurement of the closest to the height of the mountain cliff in feet is,
⇒ Mountain Height = 360 feet
Given that;
When Donetle stands at point R, he is 1000 feet from point S at the base of a cliff.
And, When he looks up at an angle of 20 degrees, he sees a friend at the top of the mountain cliff at point T
Hence, By graph we get;
⇒ tan 20° = Mountain Height / 1000
⇒ 0.36 = Mountain Height / 1000
⇒ 0.36 × 1000 = Mountain Height
⇒ Mountain Height = 360 feet
Thus, The value of measurement of the closest to the height of the mountain cliff in feet is,
⇒ Mountain Height = 360 feet
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In ΔRST, s = 620 cm, r = 210 cm and ∠R=17°. Find all possible values of ∠S, to the nearest 10th of a degree.
Answer:
1843:6754.9709254546.,657675
Step-by-step explanation:
The measure of the angle of the triangle is calculated by the law of sines and m∠S = 59.7°
What is the law of sines?The relationship between a triangle's sides and angles is provided by the Law of Sines. Trigonometry's law of sines can be expressed as a/sinA = b/sinB = c/sinC, where a, b, and c are the lengths of the triangle's sides, and A, B, and C are the triangle's respective opposite angles.
Law of Sines :
a / sin A = b / sin B = c / sin C
Given data ,
Let the triangle be represented as ΔRST
Now , the measure of s = 620 cm
The measure of side r = 210 cm
And , the measure of angle m∠R = 17°
From the law of sines , we get
a / sin A = b / sin B
On simplifying , we get
sin ( 17 )° / 210 = sin ( S ) / 620
Multiply by 620 on both sides , we get
sin ( S ) = ( 620 / 210 ) x 0.2923717
On further simplification , we get
sin S = 0.86319265203
Taking inverse on both sides , we get
S = sin⁻¹ ( 0.86319265203 )
S = 59.68°
S = 59.7°
Therefore , the value of S is 59.7°
Hence , the measure of angle m∠S = 59.7°
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is the following a probability model? what do we call the outcome "red"?
The following a probability model? what do we call the outcome No, the provided information is not sufficient to determine if it is a probability model. The outcome "red" is typically referred to as an event.
A probability model is a mathematical representation of a random experiment, where the sample space is defined, and probabilities are assigned to all possible outcomes. To determine if the given information is a probability model, we would need to know the complete list of possible outcomes, their corresponding probabilities, and ensure that the probabilities meet the necessary conditions (sum up to 1 and are non-negative).
Based on the limited information provided, we cannot determine if it is a probability model. The outcome "red" is called an event in the context of probability.
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75 is 25% more than 60, but 60 is 20% less than 75, explain why?
Answer:
because 75 is a larger number
Step-by-step explanation:
eg. 1% of 100 is 1, but 1% of 50 is 0.5
1/4x = 2/5 in algebra
Answer:
5/8
To find:
x
Step-by-step explanation:
1/4x = 2/5
by cross multiplying,
4x × 2=5 × 1
8x=5
x=5/8
hope it helps you
find the area bounded by the given curves. y = x2 − 3 and y = 6 − 8x2 12 square units
To find the area bounded by the curves y = x^2 - 3 and y = 6 - 8x^2, we need to determine the points of intersection between the two curves.
Setting the two equations equal to each other, we have:
x^2 - 3 = 6 - 8x^2
Combining like terms, we get:
9x^2 = 9
Taking the square root of both sides, we find:
x = ±1
So, the curves intersect at x = -1 and x = 1.
To calculate the area between the curves, we need to integrate the difference between the two functions with respect to x, over the interval [-1, 1].
The area is given by:
Area = ∫[a, b] (f(x) - g(x)) dx
In this case, f(x) = 6 - 8x^2 and g(x) = x^2 - 3. Thus, the area is:
Area = ∫[-1, 1] (6 - 8x^2 - (x^2 - 3)) dx
= ∫[-1, 1] (7 - 9x^2) dx
Evaluating this integral, we get:
Area = [7x - (3x^3)/3] from -1 to 1
= [7 - 3/3] - [-7 + 3/3]
= 22/3
Therefore, the area bounded by the curves y = x^2 - 3 and y = 6 - 8x^2 is 22/3 square units.
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I need help with this question, please
Answer:
10
Step-by-step explanation:
bh/2
b=5
h=4
=5×4/2
=20/2
=10
Please find the equation that fits this chart
Answer: y = 3/4x
Step-by-step explanation:
(100, 75)
(200, 150)
find slope
150 - 75 / 200 - 100
75 / 100 = 3/4
plug values into formula y=mx+b to find y-intercept
y = 3/4x + b
75 = 3/4(100) + b
75 = 75 + b
b = 0
Drag all of the steps necessary into the box to find the product of 2.7 x 6.4 using partial products.
2.0 X 6.0 = 12
2.0 x 4.0 = 8
2.0 x 0.4 = 0.8
0.7 x 0.6 = 0.42
0.7 x 6.0 = 4.2
0.7 X 4.0 = 2.8
0.7 X 0.4 = 0.28
Answer:
2.0 x 6.0 = 12
2.0 x 0.4 = 0. 8
0.7 x 6.0 = 4.2
0.7 x 0.4= 0.28
Step-by-step explanation:
The product of 2.7 x 6.4 = 17.28
If you add all those up in the answer I provided, they too equal 17.28.
Answer:
the correct answer is... 2
.
0
×
0
.
4
=
0
.
8
0
.
7
×
6
.
0
=
4
.
2
0
.
7
×
0
.
4
=
0
.
28
2
.
0
×
6
.
0
=
12
Step-by-step explanation:
GEOMETRY GEOMETRY GEOMETRY
____________________________________
In the figure below m∠PTR is known.
Which of the following relationships can be used to determine m∠RTQ?
The property of angles formed by a transversal line intersecting two parallel lines in order to determine the value of m∠RTQ in the given figure.
In this case, we can see that line PT is a transversal that intersects two parallel lines, RQ and AB. Therefore, we can use the property that alternate interior angles are congruent, which means that the angle formed by PT and RQ on one side will be equal to the angle formed by PT and AB on the other side.
Thus, we can write the relationship as:
m∠RTQ = m∠PTB
This means that the measure of angle RTQ is equal to the measure of angle PTB. Therefore, we can find the value of m∠RTQ by finding the value of m∠PTB, which can be calculated using the given value of m∠PTR and the fact that the angles in a triangle add up to 180 degrees.
In summary, to determine the value of m∠RTQ, we can use the relationship that alternate interior angles are congruent and set the measure of angle RTQ equal to the measure of angle PTB. We can then find the value of m∠PTB using the given information and use the fact that angles in a triangle add up to 180 degrees to calculate m∠RTQ.
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What is 360 divided by 11.
An settler on Mars measures the angle between the star Sero and the star Vega 3 to
be 22.4". If the Mars is approximately 93 million light years from the Sero and Vega 3
is approximately 67 million light years from the Sero (as measured by intergalactic
travelers), how far away is Vega 3 from the Mars?
The distance between Vega 3 and the Mars (MV) illustrates cosine function, and the distance is 29.1 million light years or 142.8 million light years
How to determine the distance between Vega 3 and the Mars?From the question, we have the following parameters
Angle between Sero and Vega, Ф = 22.4Distance between Mars and Sero, MS = 93 millionDistance between Vega and Sero, VS = 67 millionSee attachment for the illustration of the given parameters.
The distance between Vega 3 and the Mars (MV) is then calculated using the following cosine function
VS² = MS²+ MV² - 2 * MS * MV * cos(Ф)
This gives
4489 = 8649+ MV² - 171.96MV
Subtract 8649 from both sides
MV² - 171.96MV = -4160
Rewrite as:
MV² - 171.96MV + 4160 = 0
Using a graphing tool, we have:
MV = 29.1 and MV = 142.8
Hence, the distance between Vega 3 and the Mars is 29.1 million light years or 142.8 million light years
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What is the value of y-x?
A. 20
B. 30
C. 45
The table below shows how the number of university classrooms cleaned in an evening varies with the number of janitors:
a. What is the marginal product of the second janitor?
b. What is the average product of four janitors?
c. Is the addition of the third janitor associated with increasing, diminishing, or negative marginal returns? Explain.
d. Is the addition of the fourth janitor associated with increasing, diminishing, or negative marginal returns? Explain.
a. The marginal product of the second janitor is 4. b. The average product of four janitors is 8. c. Output between having three and two janitors d. output between having four and three janitors is -3.
The table provided shows the relationship between the number of janitors and the number of university classrooms cleaned in an evening. To answer the questions:
a. The marginal product of the second janitor can be found by calculating the difference in output between having two and one janitors. This is 12-8=4, so the marginal product of the second janitor is 4.
b. The average product of four janitors can be found by dividing the total output (32) by the number of janitors (4). Therefore, the average product of four janitors is 8.
c. The addition of the third janitor is associated with diminishing marginal returns. This can be seen by calculating the difference in output between having three and two janitors, which is 10-12=-2. The negative result indicates that the marginal product of the third janitor is lower than the previous one.
d. The addition of the fourth janitor is associated with negative marginal returns. This can be seen by calculating the difference in output between having four and three janitors, which is 7-10=-3. The negative result indicates that the marginal product of the fourth janitor is even lower than the previous one. This can be caused by a lack of space or equipment, or the fact that the workload cannot be divided equally among all the janitors.
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A music collection includes 19 ROCK CDs, 12 COUNTRY CDs, 6 CLASSICAL CDs, and 5 HIP HOP
CDs. What is the probability that a CD randomly selected from the collection IS NOT a classical
CD?(answer as simplified fraction)
Answer:
the answer is 6/7.
you're welcome.
examples of compound event
Answer:
Compound events are events in which more than one event occurs. Here are some examples of compound events:
1. Tossing a coin twice: In this event, the first toss and the second toss are two separate events. The possible outcomes are: HH, HT, TH, and TT.
2. Rolling a dice and flipping a coin: In this event, two separate events are happening at the same time. The possible outcomes are: (1H, 1T), (2H, 2T), (3H, 3T), (4H, 4T), (5H, 5T), and (6H, 6T).
3. Drawing two cards from a deck of cards: In this event, the first card and the second card are two separate events. The possible outcomes are: (Ace, Ace), (Ace, King), (Ace, Queen), ..., (King, King), (King, Queen), ..., (Queen, Queen).
4. Choosing a shirt and then a tie: In this event, the first event is choosing a shirt, and the second event is choosing a tie. The possible outcomes are all combinations of shirts and ties.
Remember, in a compound event, the probability of the event happening is based on the probability of each individual event.
Step-by-step explanation:
If the diameter of a circle has endpoints A(7, 2) and B(-1, 8), where is the center of the circle?
A. C(4, 3)
B. D(3, 5)
C. E(9, 12)
D. F(5, 8)
E. G(4, 5)
I need this asap plss 20 points!!!
Answer:
i think its d
Write the equation of the line in slope-intercept form that goes through the points: (0, 5) and (4, 5)
Answer:
Step-by-step explanation:
The equation of a line written in slope-intercept form should be written as : y = mx + b
where m is the slope and b is the y-intercept.
We can find the slope, m, using the 2 points given:
(y2 - y1) / (x2 - x1) = (-12 -6) / (5- -4)
m= -18/9
m = -2
Then we can use this slope and one of the two points to find the intercept. Either point is fine but let's use (-4 , 6):
y = -2x + b
6 = -2 * -4 + b
6 = 8 + b
6-8 = 8 + b -8
-2 = b
The final equation of the line is: y = -2x -2
Mandy buys 5.5 packs of organic milk from the neighborhood store. Each pack is priced at $3.96. How much does Mandy spend in all on his purchase?
Answer:
$21.78
Step-by-step explanation:
We know that each pack of milk costs $3.96, so if we buy 5.5 of these, we will have to pay $3.96 5.5 times. In other words, we must multiply 3.96 by 5.5:
3.96 * 5.5 = 21.78
Thus, Mandy spends $21.78 in all.
Is the environment a major issue with Americans? To answer that question, a researcher conducts a survey of 1255 randomly selected Americans. Suppose 724 of the sampled people replied that the environment is a major issue with them. Construct a 95% confidence interval to estimate the proportion of Americans who feel that the environment is a major issue with them. What is the point estimate of this proportion?
(Round the intermediate values to 3 decimal places. Round your answer to 3 decimal places. )
enter the lower limit of the confidence interval
≤ p ≤ enter the upper limit of the confidence interval :
___________ ≤ p ≤ ___________
The point estimate is ________
The confidence interval to estimate the proportion of Americans who feel that the environment is a major issue with them is (0.550 ≤ p ≤ 0.604) and the point estimate is 57. 7 %.
How to construct the confidence interval ?The point estimate for the proportion of Americans who feel that the environment is a major issue is given by the proportion in the sample, which is 724 out of 1255, or p-hat:
= 724 / 1255
= 0. 577
A 95% confidence interval for the population proportion p can be calculated using the formula:
p-hat ± Z √[(p-hat(1 - p-hat))/n]
For a 95% confidence interval, Z is approximately 1.96.
Substituting the known values in the above formula, you get the interval:
= 0.577 ± 1.96sqrt[(0.577(1 - 0.577))/1255]
SE = √[(0.577 * (1 - 0.577)) / 1255]
= 0.014
Then the margin of error:
ME = 1.96 * 0.014
= 0.027
The 95% confidence interval is therefore:
Lower limit = 0.577 - 0.027 = 0.550
Upper limit = 0.577 + 0.027 = 0.604
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which expressions are equivualent
Answer:
A (1\(3^4))
Step-by-step explanation:
3^-8\3^-4 = 3^4\3^8 =1\3^4
Erin mixed 2.69 grams of salt into a pot of soup she was cooking. Before she served the soup, Erin added 0.7 grams of salt. How much salt did Erin put into the soup in all?
Answer:
3.39g
Step-by-step explanation:2.69+0.7=3.39g
What is the quotient to the correct level of precision? 130.715 ft ÷ 4.022 ft = ?
Answer:
32.500 ftStep-by-step explanation:
Given the expression, 130.715 ft ÷ 4.022 ft, we are to find its quotient.
Converting to fraction first 130.715 ft = 130,715/1000 and 4.022 ft = 4022/1000
130.715 ft ÷ 4.022 ft = 130,715/1000 ÷ 4022/1000
= 130,715/1000 * 1000/4022
= 130,715/4022
= 32.500 ft
Hence the quotient of the expression to the correct level of precision is 32.500 ft
Answer:
32.500ft or 32.5ft
Step-by-step explanation:
(500,100,20,4) common ratio in the following sequences m
The 7th term in this geometric sequence is 3.2.
We have,
To determine the common ratio in a geometric sequence, we can divide any term by its preceding term.
Let's apply this to the given sequence: 500, 100, 20, 4.
First, let's divide each term by its preceding term:
100 / 500 = 0.2
20 / 100 = 0.2
4 / 20 = 0.2
We observe that each term divided by its preceding term gives us the same value, which is 0.2.
Therefore, the common ratio in this sequence is 0.2.
To find the 7th term, we can use the formula for the nth term of a geometric sequence:
\(a_n = a_1 \times r^{n-1},\)
where \(a_n\) is the nth term, \(a_1\) is the first term, r is the common ratio, and n is the position of the term.
In this case, the first term \(a_1\) is 500, the common ratio r is 0.2, and we want to find the 7th term \(a_7\).
Plugging these values into the formula, we have:
\(a_7 = 500 \times 0.2^{7-1}\)
= 500 x \(0.2^6\)
= 500 x 0.0064
= 3.2
Therefore,
The 7th term in this geometric sequence is 3.2.
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Which expression represents the area of this figure in square feet
Answer: A im positive its A
Step-by-step explanation: 3 times 2 equals 6 and add that to 3 times 4 which is 12 and you get 18