A new drug is released to market and it has been determined that the drug is responsible for causing hypertension among those individuals who take the drug. If 30,276 individuals were prescribed the drug in its first year on the market and 17,620 individuals developed hypertension, what is the point prevalence of hypertension among those individuals prescribed the drug, after the drug's first year on the market?
The point prevalence of hypertension among those individuals prescribed the drug is 0.58200
How to solvePoint prevalence of hypertension among those individuals prescribed the drug
=17620/30276
=0.58200
Option C is correct(0.58200)
The percentage of a population that is afflicted by a specific illness or condition at a particular period is known as point prevalence.
To find out how a disease or condition affects a community, this method is used by epidemiological studies.
For instance, the point prevalence of diabetes in a group would be 5% if studies showed that at a given moment, 5 out of 100 people in that population had the ailment.
Read more about Point prevalence here:
https://brainly.com/question/14019707
#SPJ1
13. Two number cubes, labeled 1-6 are rolled. What is the theoretical probability that
of the two numbers rolled is greater than 24?
A. 4%
B. 11%
C. 25%
D. 36%
Solve x² + 6x = 16
by graphing.
Answer:-8 and 2
Step-by-step explanation:
graph it
Find the missing angle
Answer:
D - 37 degrees
Step-by-step explanation:
Sin = opp / hyp
Cos = adj / hyp
Tan = opp / adj
Tan(x) = 29/38
~37.34 degrees
pls asnwerr
worth 19 points
Step-by-step explanation:
The formula for the circumference of a circle :
circ = pi * d <======you need to remember this
circ = pi * 5.52 mm = 17.34 cm
a student evaluated 5x-6/x^2 for x=2 and got a result of 1 is this correct explain
Answer:
it's correct because when you plug in the value of 2 and check, you get 1. try it yourself and you'll see!
Step-by-step explanation:
add the product of (-13) and (-17)to the quotient of (-187) and 11
Answer: -13 + -17 x -187/11
Find the area of this isosceles trapezoid.
Responses ill give brainly
Answer:171
Step-by-step explanation:(15+23)/2*9=19*9=171 so 171 is our answer.
Find the dimensions in feet of the Great Pyramid of Khufu and solve for the volume. Show work
Answer:
The volume of the pyramid is approximately 25,920,000 cubic feet.
Step-by-step explanation:
The Great Pyramid of Khufu is one of the most famous pyramids in Egypt, located in Giza. Its original height was 146.7 meters (481 feet), but due to erosion and the loss of its outer casing, it now stands at a height of 138.8 meters (455 feet). The base of the pyramid is a square with sides measuring 230.4 meters (755.9 feet).
To find the volume of the pyramid, we can use the formula:
V = (1/3)Bh
where V is the volume, B is the area of the base, and h is the height of the pyramid.
First, we need to convert the dimensions of the pyramid to feet. The height of the pyramid is 455 feet, and the base of the pyramid is a square with sides of 755.9 feet.
The area of the base is:
B = side^2 = (755.9 ft)^2 = 571536.81 sq ft
The volume of the pyramid is:
V = (1/3)Bh = (1/3) × 571536.81 sq ft × 455 ft ≈ 2.592 × 10^7 cubic feet
Therefore, the dimensions of the Great Pyramid of Khufu are approximately 755.9 feet for each side of the base, and 455 feet for the height. The volume of the pyramid is approximately 25,920,000 cubic feet.
Multiply and simplify
2x-2/ 21 * 49/1-x
We can start by multiplying the numerators and denominators separately:
(2x - 2) / 21 * 49 / (1 - x)
= [(2(x - 1)) / 21] * [49 / -(x - 1)]
Notice that (1 - x) = -(x - 1), so we can simplify the expression further:
= [(2(x - 1)) / 21] * [49 / -(x - 1)]
= [(2(x - 1)) / 21] * [49 / (x - 1)]
= [2 * 7] / [3 * (x - 1)]
= 14 / (3x - 3)
Therefore, the simplified expression is 14 / (3x - 3).
Catherine sliced an orange into circular pieces to put into a bowl of punch. One piece had a radius of 4 centimeters.
Which expression can be used to find the approximate circumference of this piece of orange?
1. π(4)(4)
2. π(4)
3. 2(π)(4)
4. 2(π)(8)
Answer:
3. 2(π)(4)
Step-by-step explanation:
The expression for the circumference of a circle is 2πR.
The R stands for the radius which is 4.
Hope this helps...
Please mark me brainliest
At what x-values do the graphs of the functions y = cos 2x and y equals 1 minus sine squared x intersect over the interval 0 less than or equals x less than or equals pi? Select all that apply.
The graphs of the functions y = cos 2x and y = 1 - sin² x intersect at x = 0 and x = π over the interval 0 ≤ x ≤ π.
Finding the intersecting points:
To find the intersection points of two functions set the two functions equal to each other, simplify the equation using trigonometric identities, and then solved for the values of x that satisfied the equation. And check the values if the given function is satisfied or not.
Here we have
The functions y = cos 2x and y = 1 - sin²x
And the interval 0 ≤ x ≤ π
To find the x-values where the graphs of the functions y = cos 2x and y = 1 - sin² x intersect over the interval 0 ≤ x ≤ π,
We need to set the two functions equal to each other and solve for x.
So, we have:
cos 2x = 1 - sin² x
Using the identity cos 2x = cos²x - sin² x, we can rewrite this as:
cos²x - sin² x = 1 - sin² x
On Simplifying, we get the:
cos² x = 1
Taking the square root of both sides, we have:
cos x = ±1
Since we're only considering the interval 0 ≤ x ≤ π,
the possible values of x are:
x = 0, π/2, π
Now, we need to check which of these values of x satisfy the original equation:
For x = 0, cos 2x = cos 0 = 1 and 1 - sin² x = 1 - sin² 0 = 1,
So they intersect at x = 0.
For x = π/2, cos 2x = cos π = -1 and 1 - sin² x = 1 - sin² (π/2) = 0,
So they don't intersect at x = π/2.
For x = π, cos 2x = cos 2π = 1 and 1 - sin² x = 1 - sin² π = 1,
So they intersect at x = π.
Therefore,
The graphs of the functions y = cos 2x and y = 1 - sin² x intersect at x = 0 and x = π over the interval 0 ≤ x ≤ π.
Learn more about Functions at
https://brainly.com/question/12410829
#SPJ1
Graph this system of equations and determine the number of solutions. y= 1 2 x–6 y= 1 2 x–4 Line A passes through the points (6,1) and ( – 4,6). Line B passes through the points (14,3) and ( – 10, – 9).
The graph of the system is on the image at the end, there we can see that it has no solutions.
Which statement is true?The two linear equations are:
y = (1/2)*x - 6
y = (1/2)*x - 4
First we can see that the two lines are parallel, thus, the lines never do intercept, so that is enough to know that the system of equations has no solutions.
We can graph both of the lines in the same coordinate axis and we wil see that the lines never intercept, as you can see in the graph at the end of this answer.
Learn more about systems of equations at:
https://brainly.com/question/13729904
#SPJ1
Which value of b satisfies both inequalities for b?
2b-8>5
3b-13 < 9
Use substitution to find the answer.
Answer:
B. 7
Step-by-step explanation:
You want the value of b from the choices {5, 7, 8, 10} that will satisfy both inequalities ...
2b -8 > 53b -13 < 9SubstitutionYou are asked to find the answer by substitution. This means you put the offered value of 'b' into the inequality where 'b' is, then simplify and see if you have a true relation.
A. b=5In the first inequality, this is ...
2·5 -8 > 5
10 -8 > 5
2 > f . . . . . . . false — not a solution
B. b=7In the first inequality, this is ...
2·7 -8 > 5
14 -8 > 5
6 > 5 . . . . . . True
In the second inequality, we have ...
3·7 -13 < 9
21 -13 < 9
8 < 9 . . . . . . True — this is the solution you want
The choice b = 7 satisfies both inequalities.
__
Additional comment
We generally find it easier to compare to zero, rather than some constant. In the attached, we evaluated the left-side expressions ...
2b -8 -5 > 03b -13 -9 < 0The first inequality is true for b = {7, 8, 10}. The second inequality is true for b = {5, 7}. The only value of b that satisfies both inequalities is b=7.
You will notice we also find it easier to try all the choices at once, rather than retype the calculator input for each one.
Name the marked angle in 2 different
ways.
A name for the marked angle in 2 different ways include the following:
∠UST
∠TSU
What is a plane?In Mathematics and Geometry, a plane is sometimes referred to as a two-dimensional surface and it can be defined as a flat, two-dimensional surface with zero curvature and zero thickness, that extends indefinitely (infinitely). Additionally, two (2) planes intersect at a line.
What are the characteristics of a plane?Generally speaking, there are different characteristics of a plane and these include the following:
LengthFlat surface.Width.In this scenario, we can reasonably infer and logically deduce that a name for the marked angle is either ∠UST or ∠TSU.
Read more on planes here: brainly.com/question/23917559
#SPJ1
Solve the inequality 3x - 3 < 9
+
Answer:
[tex]3x - 3 < 9[/tex]
[tex]3x < 12[/tex]
[tex]x < 4[/tex]
Module 10 Test
17) Kendra flips a coin and spins the spinner with 8 equal-size sections shown below once. After
40 trials of the experiment, the relative frequency of flipping tails and spinning blue is.
What is the difference between the number of actual outcomes and the number of expected
outcomes?
Pic below
The difference between the number of actual outcomes and the number of expected outcomes is given as follows:
3 outcomes.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
The probabilities are given as follows:
Tails: 1/2 -> fair coin.Spinning blue: 1/4 -> 2/8 of the spinner.Hence the composite probability of the two independent events is given as follows:
1/2 x 1/4 = 1/8.
The expected number of outcomes in 40 trials is given as follows:
1/8 x 40 = 5 outcomes.
Hence the difference is of:
8 - 5 = 3 outcomes.
More can be learned about probability at https://brainly.com/question/24756209
#SPJ1
Which statement correctly compares the centers of the distributions?
The statement that correctly compares the centers of the distributions is this: D. The mean of East Hills HS is greater than the mean of Southview HS.
What describes the centers of the distributions?The statement that correctly describes the centers of the distributions is option D. To find out, we will calculate the mean of the two distributions as follows:
East Hills HS
25 * 1 + 29 * 1 + 31 * 2 + 33 * 4 + 35 * 5 + 37 * 8 + 39 * 4
= 875
Frequency = 1 + 1 + 2 + 4 + 5 + 8 + 4 = 25
Mean = 875/25
35
Southview
25 * 2 + 27 * 6 + 29 * 9 + 31 * 6 + 33 * 2
= 725
Frequency = 2 + 6 + 9 + 6 + 2 =25
Mean = 29
So, from our calculation, the mean of East Hills HS is greater than the mean of Southview HS.
Learn more about centers of distribution here:
https://brainly.com/question/825426
#SPJ1
A cereal company claims that the mean weight of the cereal in its packets is 14 oz. Identify the type I error for the test.
Question 1 options:
Reject the claim that the mean weight is different from 14 oz when it is actually 14 oz.
Reject the claim that the mean weight is 14 oz when it is actually 14 oz.
Reject the claim that the mean weight is 14 oz when it is actually greater than 14 oz.
Fail to reject the claim that the mean weight is 14 oz when it is actually different from 14 oz.
For the given problem, the correct answer is: "Reject the claim that the mean weight is different from 14 oz when it is actually 14 oz."
How to identify the type I error?In the given problem,
It is claimed by cereal manufacturer that the average weight of the cereal in its packets is 14 oz. To test this claim , we may use a hypothesis test in which the null hypothesis (H0) is that the cereal in the packets has a mean weight of 14 oz and the alternative hypothesis (H1) iwill be that it does not.
Assume we run the test and get a result that causes us to reject the null hypothesis (H0). This indicates that we discovered an evidence to support the alternative hypothesis (H1), which states that the average weight of the cereal in the packets is not 14 oz.
Learn more about type I error here:
https://brainly.com/question/24320889
#SPJ1
You decide finance 23,215 a car at 4.99% compounded monthly for 5years. What will your monthly payments be? How much interest will you pay over the life of the loan?
Over the life of the loan, you will pay a total of $7,195.20 in interest.
What is payment?Payment is a transfer of money from one party to another in exchange for goods, services, or to fulfill a legal obligation. Payment can be made in many different forms, such as cash, credit card, or bank transfer. Payment is an essential part of doing business, and it is important to ensure that all parties involved are clear on the terms and conditions of the payment.
Your monthly payment for the car loan will be $451.02. To calculate this, you can use the following formula:
Monthly Payment = Loan Amount × [Interest Rate / (1 - (1 + Interest Rate) ^-Term)]
Plugging in the values provided, you get:
Monthly Payment = 23,215 × [0.0499 / (1 - (1 + 0.0499) ^-60)]
Monthly Payment = $451.02
To calculate the total amount of interest you will pay over the life of the loan, you can use the following formula:
Total Interest Paid = (Monthly Payment × Term) - Loan Amount
Plugging in the values provided, you get:
Total Interest Paid = (451.02 × 60) - 23,215
Total Interest Paid = $7,195.20
Therefore, over the life of the loan, you will pay a total of $7,195.20 in interest.
To know more about payment click-
http://brainly.com/question/25793394
#SPJ1
Over the life of the loan, you will pay a total of $7,195.20 in interest.
What is payment?
Payment is a transfer of money from one party to another in exchange for goods, services, or to fulfill a legal obligation. Payment can be made in many different forms, such as cash, credit card, or bank transfer. Payment is an essential part of doing business, and it is important to ensure that all parties involved are clear on the terms and conditions of the payment.
Your monthly payment for the car loan will be $451.02. To calculate this, you can use the following formula:
[tex]Monthly \: Payment \: Loan \: Amount × \: [Interest \: Rate \: / \: (1 - (1 + \: Interest \: Rate) ^{-Term})][/tex]
Plugging in the values provided, you get:
Monthly Payment [tex]23,215 [0.0499/(1 - (1+ = 0.0499) ^{-60})][/tex]
To calculate the total amount of interest you will pay over the life of the loan, you can use the following formula:
Total Interest Paid = (Monthly Payment Term) - Loan Amount
Plugging in the values provided, you get:
Total Interest Paid (451.0260) - 23,215
= Total Interest Paid $7,195.20
Therefore, over the life of the loan, you will pay a total of $7,195.20 in interest.
Learn more about the term interest here,
https://brainly.com/question/31582519
#SPJ1
Find the answer about the given situation
using the given chart.
Daniel recorded the number of
hummingbirds (B) and the number of red
flowers (F) for each quarter of a field.
The chart on the right shows his
observations.
What is the constant of variation for the
number of hummingbirds per flower?
f
B
Hummingbirds
6
8
12 16
12
24
20
40
The constant of variation for the
number of hummingbirds per flower is 0.75.
How to find the constantFrom the information, Daniel recorded the number of hummingbirds (B) and the number of red flowers (F) for each quarter of a field.
For the first observation, we have 6 hummingbirds and 8 flowers. So the ratio of hummingbirds to flowers is 6/8 = 0.75.
For the second observation, we have 12 hummingbirds and 16 flowers. So the ratio of hummingbirds to flowers is 12/16 = 0.75.
Hence, the constant of variation for the
number of hummingbirds per flower is 0.75.
Learn more about variation on
https://brainly.com/question/6499629
#SPJ1
Find the indefinite integral
The integral of the rational expression is equal to I = - 1.414 · ㏑ |x + 3.372| + 2.194 · ㏑ |x - 2.372| + 0.219 · ㏑ |x - 1| + C.
How to find the integral of a rational expression
In this problem we find the case of a rational expression, whose integral must be determined. This can be done by means of partial fractions method, that is, decompose the rational expression into a sum of fractions. First, write the entire rational expression and use partial fractions method:
(x² - 9) / (x³ - 9 · x + 8)
[(x - 3) · (x + 3)] / [(x + 3.372) · (x - 2.372) · (x - 1)]
A / (x + 3.372) + B / (x - 2.372) + C / (x - 1)
(x - 3) · (x + 3) = A · (x - 2.372) · (x - 1) + B · (x + 3.372) · (x - 1) + C · (x + 3.372) · (x - 2.372)
x² - 9 = A · (x² - 3.372 · x + 2.372) + B · (x² - 2.272 · x - 3.372) + C · (x² + x + 7.998)
x² - 9 = (A + B + C) · x² + (- 3.372 · A - 2.272 · B + C) · x + (2.372 · A - 3.372 · B + 7.998 · C)
Solve the system of linear equations:
A + B + C = 1
- 3.372 · A - 2.272 · B + C = 0
2.372 · A - 3.372 · B + 7.998 · C = - 9
(A, B, C) = (-1.414, 2.194, 0.219)
(x² - 9) / (x³ - 9 · x + 8) = - 1.414 / (x + 3.372) + 2.194 / (x - 2.372) + 0.219 / (x - 1)
Second, integrate the resulting equation:
I = - 1.414 ∫ [1 / (x + 3.372)] dx + 2.194 ∫ [1 / (x - 2.372)] dx + 0.219 ∫ [1 / (x - 1)] dx
I = - 1.414 · ㏑ |x + 3.372| + 2.194 · ㏑ |x - 2.372| + 0.219 · ㏑ |x - 1| + C
To learn more on integrals: https://brainly.com/question/22008756
#SPJ1
Find dy/dx by implicit differentiation for her following equation. 4x + In y=x²y^6
Answer:
dy/dx = (2xy^7 - 4y) / (y - 6x^2y^6)
Step-by-step explanation:
To find dy/dx by implicit differentiation, we differentiate both sides of the equation with respect to x.
Differentiating 4x + In y=x²y^6 with respect to x, we get:
4 + (1/y) dy/dx = 2xy^6 + 6x^2y^5 dy/dx
Now, we can isolate dy/dx by moving the terms that contain it to one side of the equation, and moving the rest to the other side:
(1/y - 6x^2y^5) dy/dx = 2xy^6 - 4
Dividing both sides by (1/y - 6x^2y^5), we get:
dy/dx = (2xy^6 - 4) / (1/y - 6x^2y^5)
Simplifying this expression, we can write:
dy/dx = (2xy^7 - 4y) / (y - 6x^2y^6)
8. Which of these graphs are connected?
In the given graphs, the second graph is a connected graph.
What are connected graphs:
A connected graph is a type of graph in which there is a path between every pair of vertices. In other words, it is a graph in which every vertex is reachable from any other vertex.
A graph is composed of vertices, which are points or nodes, and edges, which are the lines connecting the vertices.
In a connected graph, there are no isolated vertices or disjoint subsets of vertices, and every vertex is connected to at least one other vertex.
Here we have 3 graph
In the first graph, there are 3 individual graphs that are not connected.
Hence, The first graph is not connected graph
In the second graph, there are no isolated nodes or vertices as the graph is connected at every node
Hence, The Second graph is connected graph
In the third graph, there are 2 graphs that are not connected,
Hence, The third graph is not a connected graph.
Therefore,
In the given graphs, the second graph is a connected graph.
Learn more about Graphs at
https://brainly.com/question/31138886
#SPJ1
3. (a) If 12 men builds a house in 6days, how long will it take 20 men to build the same house?
(b) If a man spends 6 days in April for his honeymoon, what percentage of April did he spend on his honeymoon?
The solution is :
So, you need 3 days approximately.
Here, we have,
We will use Chain Rule to solve this question.
According to Chain Rule, the work efficiency remains constant.
• WWF×TWWF×T= Constant
• Here W = Work Done, WF = Workforce, T = Time.
Let the number of days needed be 'x'.
Applying Chain Rule,
10×9×6= 15×12×(x)
Or, x=3x=3 day
So, you need 3 days approximately.
To learn more on multiplication click:
brainly.com/question/5992872
#SPJ1
I need help with this problem
The value of x when the tangent intersect is 270 degrees.
How to find arc angles?The angle theorem between intersecting tangents states that the measure of the angle formed by two tangents that intersect at a point outside a circle is equal to one-half the positive difference of the measures of the intercepted arcs.
Therefore,
90 = 1 / 2(x - (360 - x))
90 = 0.5(x - 360 + x)
90 = 0.5(2x - 360)
90 = x - 180
add 180 to both sides of the equation
90 + 180 = x - 180 + 180
x = 270 degrees
Therefore,
x = 270 degrees
learn more on arc angles here: https://brainly.com/question/17028362
#SPJ1
You move up 9 units. You end at (-3, 4). Where did you start?
Answer:
The x-coordinate stays the same, so the starting point is at (-3, -5) since 4 - 9 = -5.
The evaluation of 2563/4 is
Answer:
640.75
Step-by-step explanation:
2563/4 = 640[tex]\frac{3}{4}[/tex] = 640.75
Answer:
the result of 2563/4 is 641 with a remainder of 3. We can also express this as a mixed number:
2563/4 = 640 3/4
Use the rules of exponents to simplify the expression (x2)(x9) .
Answer:
Step-by-step explanation:
Add the exponents [tex]x^{2} x^{9} = x^{11}[/tex]
Which of the following would be considered an industrial good?
hydrofluoric acid used to make anti-depressant medications
Windex window cleaner for residential homes
Recreational vehicles used to travel and sightsee
Gummy bear candy used to enjoy a taste treat
The correct option is hydrofluoric acid used to make anti-depressant medications would be considered an industrial good as it is used in the production.
Which of the following would be considered an industrial good?And industrial good is something that is used to produce something, here the only option that directly says that is used in a production is the first one.
The other 3 options would be called consumer goods, as these are directed thowards consumers, not industries.
Then the correct option is the first one, "hydrofluoric acid used to make anti-depressant medications"
Learn more about industrial goods:
https://brainly.com/question/30218214
#SPJ1
