A group of people were surveyed, and the data about their age and hemoglobin levels was recorded in a two-way table. Based on the data in the
table, match each probability with its correct value.
Age
Hemoglobin Level
Less than 25 Years 25-35 Years Above 35 Years Total
Less than 9
21
32
76
129
Between 9 and 11
49
52
46
147
Above 11
69
44
40
153
Total
139
128
162 429
the probability that a person older
than 35 years has a hemoglobin
level less than 9
the probability that a person
younger than 25 years has a
hemoglobin level above 11
the probability that a person in the
25-35 age group has a hemoglobin
level less than 9
the probability that a person older
than 35 years has a hemoglobin
level between 9 and 11
0.25
0.47
0.28
0.50
Answers
The probability that a person older than 35 years has a hemoglobin level less than 9 is 0.47.
The probability that a person younger than 25 years has a hemoglobin level above 11 is 0 .50
the probability that a person in the 25-35 age group has a hemoglobin
level less than 9 is 0.25.
The probability that a person older than 35 years has a hemoglobin level between 9 and 11 is 0.28.
What are the probabilities?The probability that a person older than 35 years has a hemoglobin level less than 9 = number of people order than 35 that have a hemoglobin level less than 9 / total number of people over 35
= 76 / 167 = 0.47
The probability that a person younger than 25 years has a haemoglobin level above 11 = people over 25 that have a haemoglobin level above 11 / total number of people above 25
69/139 = 0 .50
The probability that a person in the 25-35 age group has a hemoglobin
level less than 9 = people between 25 - 35 that have a haemoglobin level less than 9 / total number of people between 25 - 35
= 32/128 = 0.25
The probability that a person older than 35 years has a hemoglobin level between 9 and 11= number of people order than 35 that have a hemoglobin level 9 - 11 / total number of people over 35
46 / 162 = 0.28
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Related Questions
There are 10000 people living in a certain city. Suppose that the rate of population growth in the city is proportional to the number of inhabitants. Suppose that 10% of the original amount increase in 30 years, how much will the population in the city after 60 years?
Answers
Answer:
.............30000.............
What division problem does this area model represent?
Answers
Answer:
2,160 ÷ 36 = 60
Step-by-step explanation:
The division problem that this area model represents is,
2,160 ÷ 36 = 60
Lines AB and CD are parallel. The coordinates of point A are (-2,5), the coordinates of point B are (6,3), and the coordinates of point D are (8,5).
The equation of line CD is y =
Answers
Equation of the line CD is equals to [tex]y = \frac{-x}{4} +7[/tex].
What are parallel lines?" Parallel lines are defined as the lines in the same plane never intersect with each other. They are equidistant to each other in the same plane."
Formula used
[tex]Slope = \frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]
According to the question,
Given,
Coordinates of A [tex](x_{1},y_{1})[/tex] = ( -2 , 5)
Coordinates of B [tex](x_{2},y_{2})[/tex] = ( 6 , 3)
Substitute the value to get the slope of line AB we get,
[tex]Slope of line AB 'm_{1}' =\frac{3-5}{6-(-2)}[/tex]
⇒ [tex]m_{1} = \frac{-2}{8}[/tex]
[tex]= \frac{-1}{4}[/tex]
Coordinates of C [tex](x_{1},y_{1})[/tex] = ( x ,y)
Coordinates of B [tex](x_{2},y_{2})[/tex] = ( 8,5)
Substitute the value to get the slope of line CD we get,
[tex]Slope of line CD 'm_{2}' =\frac{5-y}{8-x}[/tex]
Lines AB and CD are parallel.
Slope of parallel lines are equal.
Therefore,
[tex]m_{2} = m_{1}[/tex]
⇒ [tex]\frac{5-y}{8-x}[/tex] [tex]= \frac{-1}{4}[/tex]
⇒[tex]5-y = \frac{-1}{4} (8-x)[/tex]
⇒ [tex]y = \frac{-x}{4} +7[/tex]
Hence, equation of the line CD is equals to [tex]y = \frac{-x}{4} +7[/tex].
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Find y. Give your answer in the simplest form.
Answers
Step-by-step explanation:
you use Sin60 to find y because Sin60=
[tex] \frac{y}{8} [/tex]
If events A and B are independent, what must be true?
P(A|B) = P(B)
P(A|B) = P(A)
P(A) = P(B)
P(A|B) = P(B|A)
Answers
Answer: P(A|B) = P(A)
Step-by-step explanation:
If they are independent, one event being given doesn't impact the probability of the other event.
Answer:b
Step-by-step explanation:
b
Suppose there is this little town with a finite number of people: (1) No two inhabitants have exactly the same number of hairs. (2) No inhabitant has exactly 743 hairs or no hairs at all. (3) There are more inhabitants than there are hairs on the head of any inhabitant. So, what is the highest possible number of inhabitants in that little town?
Answers
The highest possible number of inhabitants in that little town are 743.
What are inhabitant?A person or animal that lives in a place is called as the inhabitant.
Suppose there is this little town with a finite number of people: (1) No two inhabitants have exactly the same number of hairs. (2) No inhabitant has exactly 743 hairs or no hairs at all. (3) There are more inhabitants than there are hairs on the head of any inhabitant.
Let say there are 519 people in the town. and make them stand in a line with increasing number of hairs on their heads. This way, there will be a person on the last, who has no hair.
There are more number of people than the hairs. From bald to 742 hairs, 743 is the limit.
Thus, the highest possible number of inhabitants in that little town are 743.
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A convenience store was charging $3.83 for a
bag of chips but raised the price 13%. The new price after the increase is $4.33.
Enter an expression to show how the new price
was calculated.
Answers
Answer:
See below
Step-by-step explanation:
4.33 = 3.83 * (1.13) .13 is decimal for 13%
Nala wants to find out if the quadrilateral shown is a rectangle. Nala's plan: • Find the slopes of all four sides. • See if there are two pairs of equal slopes. • See if there are two pairs of slopes that are negative reciprocals. Will her plan work? Why or why not?
Answers
Checking if the two pairs of slopes are negative reciprocal will help he determine if the lines are perpendicular to each other. Therefore her plan will work.
Proof for a quadrilateral
A quadrilateral are shapes with 4 sides. A rectangle is a quadrilateral with 2 parallel sides.
According to Nala's plan to find out if the quadrilateral shown is a rectangle, she can do the following;
See if there are two pairs of equal slopesSee if there are two pairs of slopes that are negative reciprocalChecking if the two pairs of slopes are negative reciprocal will help he determine if the lines are perpendicular to each other.
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solve u^2 = -4, where u is a real number. Simplify your answer as much as possible.
will mark brainliest if correct
Answers
Answer:
2i and -2i
Step-by-step explanation:
I'll change u to x to be easier to understand.
x^2 = -4
sqrt(x^2) = sqrt(-4)
sqrt(-4) = 2i, or -2i
how many terms are in 10y2-3y+8
Answers
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to find how many terms are in [tex]\pmb{10y^2-3y+8}[/tex].
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
A term is a thing that's added or subtracted.So let's compute the number of terms in this expression.
The first term is [tex]\pmb{10y^2}[/tex].
Is anything added or subtracted from 10y²?
Sure! [tex]\pmb{-3y}[/tex] is subtracted from 10y².
Also, 8 is added to -3y.
Thus, this expression has 3 terms.
Hope it helps you out! :D
Ask in comments if any queries arise.
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~Just a smiley person helping fellow students :)
Two points A and B whose heights differ by 10 metres are shown 1.2 cm apart horizontally on a map whose scale is 1: 10 000. a) Work out the actual horizontal distance between A and B.
Answers
Answer:
120 meters
Step-by-step explanation:
1.2 x 10 000 = 12000 cm = 120 meters
Drag one comparison statement into each box below to make a true statement. Each comparison statement may be used once, more than once, or not at all.
Answers
The inequalities are; 5¹/₄ tons = 10500 pounds; 1/2 ton + 3/4 ton > 2800 pounds; 2 tons > 60000 pounces; 1¹/₄tons > 20000 ounces
How to find Inequalities?
1) 5¹/₄ tons when converted to pounds is 10500 pounds.
Thus; 5¹/₄ tons = 10500 pounds.
2) 1/2 ton + 3/4 ton = 5/4 tons
Converting 1.25 to tons gives 2500 tons. Thus;
1/2 ton + 3/4 ton > 2800 pounds
3) Converting 2 tons to Ounces gives 64000 ounces. Thus;
2 tons > 60000 pounces.
4) 1¹/₄tons - ¹/₂ton = ³/₄ tons
Converting to ounces gives 24000 ounces
Thus; 1¹/₄tons > 20000 ounces
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Find the exact value of each expression.
sin0 , if cos 0 =3/5 and 270° ≤0 ≤360°
Answers
[tex]\text{Given that,}\\\\~~~~~~~~\cos \theta = \dfrac 35\\\\\implies \cos^2 \theta = \dfrac 9{25}\\\\\implies 1-\sin^2 \theta = \dfrac{9}{25}\\\\\implies \sin^2 \theta = 1-\dfrac{9}{25}\\\\\implies \sin^2 \theta = \dfrac{16}{25}\\\\\implies \sin \theta = \pm\sqrt{\dfrac{16}{25}}\\\\\implies \sin \theta = \pm\dfrac 45\\\\\text{Given that,}~ 270^{\circ} \leq \theta \leq 360^{\circ}, \text{So}~ \theta ~ \text{lies in fourth quadrant.}\\\\[/tex]
[tex]\text{Which means that}~ \sin \theta ~ \text{will be negative.}\\\\\text{Hence,}~ \sin \theta = -\dfrac 45[/tex]
During the basketball season, Morgan made 3 times as many 2-point baskets as she made 3-point baskets and free throws combined. If she made 14 free throws and eight 3-point baskets, How many 2-point baskets did she make. And simplify your answer.
Answers
Answer:
123 save some for me
Step-by-step explanation:
:0
Answer: 123
Step-by-step explanation: I did the math- lol-
The graph represents a person’s heart rate in beats per minute during 30 minutes of exercise.
A graph titled Cardiac Exercise. The horizontal axis shows time (minutes), numbered 3 to 30, and the vertical axis shows Heart Rate (b p m) numbered 15 to 150. The line starts at 75 b p m in 0 minutes, to 135 b p m from 6 to 25 minutes, and ends at 105 b p m at 30 minutes.
Which statement best describes the relationship between heart rate and time during exercise?
The heart rate increases for 6 minutes, remains constant for 19 minutes, and then gradually increases for 5 minutes.
The heart rate decreases for 6 minutes, remains constant for 19 minutes, and then gradually increases for 5 minutes.
The heart rate increases for 6 minutes, remains constant for 19 minutes, and then gradually decreases for 5 minutes.
The heart rate remains constant for 6 minutes, increases for 19 minutes, and then gradually decreases for 5 minutes.
Answers
Answer:
the heart rate increases for 6 minutes, remains constant for 19 minutes ,and then gradually decreases for 5 minutes
HELP ASAP!!!!!!!!!!!
Answers
Answer:
a) ΔCED ~ ΔCAB
b) 157.5 m
Step-by-step explanation:
The similarity statement for geometric figures lists the corresponding vertices in the same order. Corresponding sides of similar figures are proportional. That fact can be used to find the missing side length.
__
a)The right angles are corresponding. Angle C corresponds to itself, so the similarity statement can be written ...
ΔCED ~ ΔCAB
__
b)Corresponding sides are proportional, so we can write ...
AB/AC = ED/EC
AB/(50+160) = 120/160 . . . . . using the numerical values
AB = 210 × 120/160 = 157.5 . . . meters
The length of the lake is 157.5 meters.
Hola alguien me podría ayudar con este problema :< porfa
Answers
Answer:
8= 24b
8/8=24b/8
b=3
Step-by-step explanation:
Based on my own learning
can you please help me? 2.1.5
Answers
[tex]~Ab_1\\\\\\=\begin{bmatrix} -2&2\\ 1&4\\ 5&-3 \end{bmatrix}\begin{bmatrix} 3\\-2 \end{bmatrix}\\\\\\=\begin{bmatrix} -6-4\\3-8\\15+6 \end{bmatrix}\\\\\\=\begin{bmatrix} -10\\-5\\21 \end{bmatrix}[/tex]
Discuss the refusal of some individuals to answer questions by authorized Stats SA officials ?
Answers
Answer:
I think the letter B is a good idea for me to do the same as oneroure and I have a module that I can use to make sure that I have the right to use the periodic table to find the element name and its symbol then calculate the total amount of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between thank you
The surface area of a right cone which has a base diameter of 6 units and a height of 8 units is:
75 units squared.
108 units squared.
151 units squared.
188 units squared.
Answers
The area of a 2D form is the amount of space within its perimeter. The surface area of the cone is 108.79967 units².
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
Given the diameter of the cone is 6 units, therefore, the radius of the cone is 3 units, and the height of the cone is 8 units. Thus, the surface area of the right cone is,
A=πr [r+√(h²+r²)]
A = 108.79967 units²
Hence, the surface area of the cone is 108.79967 units².
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In a study of patients arriving at a hospital emergency room, the gender of the patients is considered, together with whether the patients are younger or older than 30 years of age, and whether or not the patients are admitted to the hospital. It is found that 45% of the patients are male, 30% of the patients are younger than 30 years of age, 15% of the patients are females older than 30 years of age who are admitted to the hospital, and 21% of the patients are females younger than 30 years of age. What proportion of the patients are females older than 30 years of age who are not admitted to the hospital?
Answers
The probability of patients are females older than 30 years of age who are not admitted to the hospital is 0.19
How to calculate the probability?The probability of patients who are females and are admitted will be 0.15. The probability of those younger than 30 years will be 0.21.
The proportion of the patients are females older than 30 years of age who are not admitted to the hospital will be:
= [(1 - 0.45) - 0.21] - 0.15
= 0.19
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a group of 20 students in four adults are going on a field trip to the museum What is the ratio of students to adults complete the statement.
Answers
Answer:
5:1
Step-by-step explanation:
Originally the ratio is 20:4
but then it is simplified to 10:2
then 5:1
Seven increased by the product of six and the number is 19
Answers
The number is that was multiplied by 6 is 2.
What is the number?The equation that can be derived from the question is :
7 + (6a) = 19
Where a is the unknown number that 6 was multiplied with
Given the above equation, in order to determine the value of a, take the following steps:
Combine similar terms: 6a = 19 - 7
Subtract similar terms: 6a = 12
Divide both sides by 6: a = 12 / 6
a = 2
Here is the complete question:
Seven increased by the product of six and the number is 19. What is the number?
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The area of Louisiana is approximately 4 x
104 square miles. The area of the United
States is approximately 225 times greater
than the area of Louisiana. What is the
approximate area of the United States?
Answers
Answer:
93,600
Step-by-step explanation:
4x104= 416
416x225 = 93,600
What are the coordinates of the point on the directed line segment from (−3,8) to (6, -4) that partitions the segment into a ratio of 1 to 5?
Answers
let's say the segment is A(-3,8) and B(6,-4) and point C splits it on a 1:5 ratio from A to B, let's check for C coordinates.
[tex]\textit{internal division of a line segment using ratios} \\\\\\ A(-3,8)\qquad B(6,-4)\qquad \qquad \stackrel{\textit{ratio from A to B}}{1:5} \\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{1}{5}\implies \cfrac{A}{B} = \cfrac{1}{5}\implies 5A=1B\implies 5(-3,8)=1(6,-4)[/tex]
[tex](\stackrel{x}{-15}~~,~~ \stackrel{y}{40})=(\stackrel{x}{6}~~,~~ \stackrel{y}{-4})\implies C=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-15 +6}}{1+5}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{40 -4}}{1+5} \right)} \\\\\\ C=\left(\cfrac{-9}{6}~~,~~ \cfrac{36}{6} \right)\implies C=\left( -\cfrac{3}{2}~~,~~6 \right)[/tex]
help me thank youuu!
Answers
Answer:
D) 5
Step-by-step explanation:
Because 5x5=25 so the square root would be 5
A small plane flew 808 miles in 4 hours with the wind. Then on the return trip flying against the wind it travels only 488 miles in 4 hours. What were the wind velocity and speed of the plane?
Answers
Answer:
Step-by-step explanation:
let wind velocity=x
speed of plane=y
(x+y)*4=808
x+y=808/4=202 ...(1)
(y-x)*4=488
y-x=122 ...(2)
add (1) and (2)
2y=202+122=324
y=324/2=162
from (1)
x+162=202
x=202-162=40
wind velocity=40 m/hr
speed of plane=162 m/hr
what is the slope of the line shown below?
Answers
Answer:
C. 2
Step-by-step explanation:
Gradient = [tex]\frac{change in y}{change in x}[/tex]
Gradient = [tex]\frac{6}{3}[/tex]
Gradient = 2
Formula: (Y2-Y1)/(X2-X1)
(-4-2)/(-1-2)=2
Use the strategy to simplify 4√576
Write the prime factorization of the radicand.
Answers
[tex]\begin{array}{r|l}576&2\\288&2\\144&2\\72&2\\36&2\\18&2\\9&3\\3&3\\1\end{array}[/tex]
[tex]576=2^6\cdot3^2[/tex]
Therefore
[tex]4\sqrt{576}=4\sqrt{2^6\cdot3^2}[/tex]
Solve the equation sin 79.5° = cos 2x
Answers
Answer:
x=5.24-9+180n,174.75+180n
Step-by-step explanation: