If you know that a student receives financial aid,
what is the probability that the student is a
graduate student?
Answer: Answer:
The probability that a given student is a graduate, given that he or she is on financial aid, is 30.8%.
Step-by-step explanation:
To determine what is the probability that a given student is a graduate, given that he or she is on financial aid, the following calculation must be performed:
6101 = 100
1879 = X
1879 x 100/6101 = X
187,900 / 6101 = X
30,798 = X
Therefore, the probability that a given student is a graduate, given that he or she is on financial aid, is 30.8%.
Step-by-step explanation:
the table shows the enrollment in a university class so far, broken down by student type.
adult education 7
graduate 2
undergraduate 9
Considering this data, how many of the next 12 students to enroll should you expect to be undergraduate students?
Answer:
6
Step-by-step explanation:
The number of students in the next 12 to enroll should you expect to be undergraduate students is 6.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
From the table,
Total number of students = 7 + 2 + 9 = 18
Number of undergraduates = 9
Probability of having a undergraduate student to enroll = 9/18 = 1/2
When the next 12 students are enrolled,
Number of undergraduates = 1/2 × 12 = 6
Hence 6 students are expected to be undergraduates in the next 12 students.
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Stage 1 high BP is specified as systolic BP between 140 and 160. What percentage of adults in the US qualify for stage 1?
Using the normal distribution, it is found that 16.43% of adults in the US qualify for stage 1.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.Researching the problem on the internet, the mean and the standard deviation are given, respectively, by:
[tex]\mu = 122, \sigma = 22[/tex].
The proportion of adults in the US qualify for stage 1 is the p-value of Z when X = 160 subtracted by the p-value of Z when X = 140, hence:
X = 160:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{160 - 122}{22}[/tex]
Z = 1.73
Z = 1.73 has a p-value of 0.9582.
X = 140:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{140 - 122}{22}[/tex]
Z = 0.82
Z = 0.82 has a p-value of 0.7939.
0.9582 - 0.7939 = 0.1643.
0.1643 = 16.43% of adults in the US qualify for stage 1.
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What is the length of the two equal sides?
What is the length of the third side?
Answer:
the length of the third side is 21
Step-by-step explanation:
let P be the perimeter of the triangle
a the length of the first and second sides
b the length of the 3rd side
…………………………………………………
Then
P = a + a + b
= 2a + b
Where b = a + 6
Therefore
P = 2a + (a + 6)
= 3a + 6
We substitute the numbers we have into the equation:
51 = 3a + 6
⇔ 45 = 3a
⇔ a = 15
Since b = a + 6 then b = 15 + 6 = 21
Is the following statement true? Justify your answer to get credit: “If X1, · · · , Xn are independently distributed, then for large enough n, the central limit theorem says that the sample mean Xn has a normal distribution.”
Using the Central Limit Theorem, it is found that the statement is true, as for sample sizes of 30 or more, the sampling distribution of sample means is normal.
What does the Central Limit Theorem state?It states that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the sampling distribution is also approximately normal, as long as n is at least 30.
Hence, the statement is true, as for sample sizes of 30 or more, the sampling distribution of sample means is normal, no matter the underlying distribution of the variable.
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Please help me with those questions as soon as possible
Help me please!!!!!!
1.a. Typical number chosen = the median value = 6
b. 27
2. a. 21
b. b. How the scores vary = Range of the scores = 5
c. Mode = 8
d. Median = 8
What is the Range, Mode, and Median of a Data Set?Range = Highest value - least value
Mode = most occurred data point
Median = center value of the data distribution (typical value of a dot plot).
1. a. Typical number chosen = the median value (center value) on the dot plot = 6
b. The number enrolled = number of student represented on the dot plot + 2 students absent = 25 + 2 = 27.
2. Data given: 5, 5, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 10, 10
a. There are 21 data points given, therefore, the number of students in the afternoon math class is: 21.
b. How the scores vary = Range of the scores = 10 - 5 = 5
c. Mode of the data = 8
d. Median score = 8
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what is the volume of a cylinder, in cubic feet, with a height of 8 feet and a base diameter of 18 feet? Round to the nearest tenths place
Answer:
188 feet
i know that the answer
nasa makatulong po
The volume of a cylinder, in cubic feet, is,
V = 2,034.7 feet³
We have to given that,
In a cylinder,
Height = 8 feet
And, Diameter = 18 feet
Hence, Radius of cylinder is,
r = 18/2
r = 9 feet
We know that,
Volume of cylinder is,
V = πr²h
Substitute all the values, we get;
V = 3.14 × 9² × 8
V = 2,034.7 feet³
Therefore, The volume of a cylinder, in cubic feet, is,
V = 2,034.7 feet³
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How much water should be added to 22 ml of 12% alcohol solution to reduce the concentration to 11%
The amount of water that is needed to be added to the 12% concentration solution to make it 11% concentrated is 2 ml.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Given that the alcohol solution of 22 ml has a 12% of concentration. Therefore, the amount of alcohol in the solution is,
12% of 22ml = 2.64ml
Since the amount of alcohol should be the same while the concentration should be diluted, therefore, the amount of alcohol in the final solution can be written as,
[tex]11\%\ of\ x = 2.64{\rm\ ml}\\\\\dfrac{11}{100} \times x = 2.64\\\\x = 24\rm\ ml[/tex]
As the total solution with 12% concentration was 22 ml, while the total solution with 11% concentration was 24 ml.
Hence, the amount of water that is needed to be added to the 12% concentration solution to make it 11% concentrated is 2 ml.
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It costs $3.99 for 32 fl. oz. of soda. What is the unit rate?
Answer:= 0.124688 oz per fl
Step-by-step explanation:
This is a fraction equal to
3.99 oz ÷ 32 fl
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 32
3.99 oz ÷ 32
32 fl ÷ 32
=
0.124688 oz
1 fl
=
0.124688 oz
fl
= 0.124688 oz pe
If you were a salaried employee getting paid twice per month, how many times would you be paid in a year?
4 times
6 times
12 times
24 times
A right triangular prism and its net are shown below.
(All lengths are in centimeters.)
Answer:
Below in bold.
Step-by-step explanation:
a) The rectangle in the middle of the net is 10 cm long.
A = 8
B = 3
C = 6
D = 10
b) Surface area
= 3*6 + 3*10 + 3*8 + 2 * 1/2 + 8 * 6
= 18 + 30 + 24 + 48
= 120 cm^2
[tex]sa = bh + ( b_{1} + b_{2} + b_{3})l[/tex]
[tex]sa = 6(8) + (6 + 8 + 3) \times 10[/tex]
[tex]sa = 48 + (17)(10)[/tex]
[tex]sa = 48 + 170[/tex]
[tex]sa = 220 \: {cm}^{2} [/tex]
what is the inverse of the following function: y-x^3=3
Answer:
f^-1(x)=[tex]\sqrt[3]{x-3}[/tex]
rewrite! Write an new and equivalent equation that is easier to solve
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
Given - an equation in it's general formTo do - convert the given equation into a form that is easy to solveGiven equation -
[tex]\bold{(x + 2) {}^{2} + 4(x + 2) - 5 = 0} \\ [/tex]
solve the parenthesis so as to obtain simpler terms
[tex]\bold{\implies \: ( x {}^{2} + 4x + 4 ) + 4x + 8 - 5 = 0}\\ [/tex]
solve the like terms and you'll obtain the required equation !
[tex]\bold{\implies \: x {}^{2} + 8x - 7 = 0}[/tex]
hope helpful ~
[tex]{\large{\red{\mapsto{\maltese{\underline{\green{\boxed{\blue{\underbrace{\overbrace{\pink{\pmb{\bf{Answer:}}}}}}}}}}}}}}[/tex]
x = -7, -1
Step-by-step explanation:
[tex] \sf {(x + 2)}^{2} + 4(x + 2) - 5 = 0[/tex]
let (x + 2) = y
So equation will be
[tex] \sf {y}^{2} + 4y - 5 = 0[/tex]
Further it becomes quadratic equation
we will solve it by breaking middle term method
[tex] \sf \implies {y}^{2} + 5y - y - 5 = 0 \\ \\ \sf \implies y(y + 5) - 1(y + 5) = 0 \\ \\ \sf \implies (y + 5)(y - 1) = 0[/tex]
Now put the value of y
[tex] \sf \implies (x + 2 + 5)(x + 2 - 1) = 0 \\ \\ \sf \implies (x + 7)(x + 1) = 0[/tex]
(x + 7) =0⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀(x + 1) = 0
x = -7⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ x = -1
Solve each proportion. 9/8 = x/7
Answer:
x=63/8
Step-by-step explanation:
9/8=x/7
or, 9*7=x*8
or, 63=8x
x=63/8
the diagram represents a rectangular garden of length 14 m and width 10 m
The flower bed is a triangle and the vegetable patch is a trapezium
the rest of the garden is lawn
Answer:
The area of the lawn is 68 [tex]m^2[/tex].
Step-by-step explanation:
Area of lawn = Area of garden - (Area of triangle + Area of trapezium)
Area of garden = length x width
= 14 x 10
= 140 [tex]m^2[/tex]
Area of triangle = [tex]\frac{1}{2}[/tex] x base x height
= [tex]\frac{1}{2}[/tex] x 3 x 8
= 12 [tex]m^2[/tex]
Area of trapezium = [tex]\frac{1}{2}[/tex] (a + b) h
= [tex]\frac{1}{2}[/tex](5 + 7) 10
= 60 [tex]m^2[/tex]
So that;
Area of lawn = 140 - (12 + 60)
= 140 - 72
= 68
The area of the lawn is 68 [tex]m^2[/tex].
PLease help screenshot provided
Answer:
n= -80
Step-by-step explanation:
Hope this helps! ;-)
Answer:
[tex]\huge\boxed{\sf n = -20}[/tex]
Step-by-step explanation:
Given Equation:
[tex]n=5(2k^2+2k-6)[/tex]
Put k = -2
[tex]n=5[2(-2)^2+3(-2)-6]\\\\n =5[2(4)-6-6]\\\\n=5(8-12)\\\\n= 5(-4)\\\\\boxed{n = -20}\\\\\rule[225]{225}{2}[/tex]
The Math Campers are grouped into groups with 9 members each. Each group is asked to form a circle and they will be sitting on the ground. If the seating arrangement is circular, in how many possible ways can the 9 members be seated?
A. 40320
B. 362880
C. 5040
D. 720
Answer:
B. 362880
Step-by-step explanation:
! means permutation which means
arrangement of people or things in
sequence or
linear order
9! = 362880
9! = 9*8*7*6*5*4*3*2*1 = 362880
NEED HELP QUICKLY!!
Find the value of the trigonometric ratio. Reduce the fraction when you can. tan X 40 Z X A) C) 5 4 5 32 Y 24 B) D) 433335
Work Shown:
tan(angle) = opposite/adjacent
tan(X) = ZY/XY
tan(X) = 32/24
tan(X) = (8*4)/(8*3)
tan(X) = 4/3
Julia is using this figure to prove that triangle ABC is an isosceles triangle. First, she used the converse of the perpendicular bisector theorem and the definition of perpendicular lines to determine that CE is the perpendicular bisector of AB.
The next step of the valid proof is that AE = CE because of the perpendicular bisector theorem.
What is a perpendicular bisector theorem?The perpendicular bisector theorem states that any point on the perpendicular bisector is equidistant from the endpoints of the line segment on which it is drawn.
In this case, Julia is using this figure to prove that triangle ABC is an isosceles triangle. After the steps given, the next step will be to indicate that AE = CE because of the perpendicular bisector theorem.
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Answer:
AC = BC because of the perpendicular bisector theorem
Step-by-step explanation:
I got it right on the test
For questions 1-2, use the Reciprocal and Quotient Identities to find each value.
By using the reciprocal identity the value [tex]Sin \theta[/tex] will be [tex]\dfrac{5}{27}{[/tex]
What is Reciprocal and Quotient Identities?In trigonometry, quotient identities refer to trig identities that are divided by each other.
So here we have
[tex]Cosec\theta = \dfrac{27}{5}[/tex]
Now we have to find the reciprocal identity,
[tex]Sin\theta=\dfrac{1}{Cosec\theta}[/tex]
[tex]Sin\theta}=\dfrac{1}{\dfrac{27} { 5} }[/tex]
[tex]Sin\theta=\dfrac{5}{27}[/tex]
hence by using the reciprocal identity the value [tex]Sin \theta[/tex] will be [tex]\dfrac{5}{27}{[/tex]
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Which of the following is equivalent to S = {spring, summer, autumn, winter}?
(you may select more than one)
{x | x = states in the United States}
{x|x is a season}
{x|x = planets in our solar system}
{x | x = former Presidents of the United States}
{x|x ≥ 1 and x < 5}
{x | x = sides of a standard dice}
Answer: {x | x is a season}
Step-by-step explanation:
Spring, summer, autumn, and winter are all seasons.
Give a real-life situation for the sum. (will mark brainiest!!)
Answer:
Jeff is 15 years younger than Joe who is 10
Step-by-step explanation:
Customers who join a store's rewards program are invited to spin a wheel and earn a prize. The wheel is divided into eight same-sized sections, and three of those sections represent winning a gift certificate. Assuming the wheel is fair, approximately how many gift certificates are likely to be won if 528 customers spin the wheel?
A. 198 gift certificates
B. 176 gift certificates
C. 144 gift certificates
D. 66 gift certificates.
Please show your work and tell me how you figured it out.
Answer:
A. 198 gift certificates.
Step-by-step explanation:
The probability of winning on a single spin = 3/8.
Number of expected winners
= 528 * 3/8
= 66 * 3
= 198.
16. (1.7 • 10^-4)(5•10^-5)
A. 8.5 • 10^-9
B. 8.5 • 10^20
C. 6.7 • 10^-9
D. 6.7 • 10^20
the cost of 3 dolls if 2 such dolls cost rs.120 is ...... ans pls
Answer:
Rs. 180
Step-by-step explanation:
This is a proportion problem.
We are told that 2 dolls cost Rs. 120
Thus;
Cost of 1 doll = 120/2 = Rs. 60 per doll
Then;
Cost of 3 dolls = Rs. 60 * 3 = Rs. 180
please answer this question
The integration of the provided integration expression which is evaluated without using the beta function is equal to 1/1011.
What is integration?It is the reverse of differentiation. The differentiation is the rate of change of the function with respect to variables.
The integration is given below.
[tex]\rightarrow \rm \int _0^{\infty} \dfrac{x^{1010}}{(1 +x)^{2022}} \ dx[/tex]
Then the integration can be written as
[tex]\rightarrow \rm \int _0^{\infty} \dfrac{x^{1010}}{[(1 +x)^{1011}]^2} \ dx[/tex]
Let (1 + x)¹⁰¹¹ = t. Then 1011x¹⁰¹⁰ dx = dt.
Then we have
[tex]\rightarrow \int_{1}^{\infty } \dfrac{dt}{1011 \ t^2}[/tex]
Then integrate
[tex]\rightarrow \dfrac{1}{1011} \left [ \dfrac{-1}{t} \right ]_{1}^{\infty }\\\\\\\rightarrow \dfrac{1}{1011} \left [ \dfrac{1}{t} \right ]^{1}_{\infty }\\\\\\\rightarrow \dfrac{1}{1011} \left [ 1- 0 \right ]\\\\\\\rightarrow \dfrac{1}{1011}[/tex]
The integration of the provided integration expression which is evaluated without using the beta function is equal to 1/1011.
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. A reception hall holds 96 people. If the hall
is filled with 3/4th of the maximum
capacity at a wedding reception, how
many people are at the reception?
A. 48
B. 36
C. 24
D. 72
Answer:
D.72
Step-by-step explanation:
first you have to divide 96 and 4 than it will equal 24 than you multiple by 3 and so 24×3=72
Someone please help me on this question and no links they don’t work!!
Answer:
78
Step-by-step explanation:
hint
5) In the segment below, segment DC = 29,
lengths AB, BC, AC, rounded to the nearest tenth, and angle measures for
Applying the trigonometric ratios and the triangle sum theorem, the missing lengths and angles are:
AB = 27.2 units
BC = 33.5 units
AC = 50.4 units.
m∠A = 38°
m∠ABC = 112°
What are the Trigonometric Ratios?The trigonometric ratios, SOHCAHTOA, are used to find the sides or angles of a right triangle.
Find BD using TOA:
tan ∅ = opp/adj
tan 30 = BD/29
BD = tan 30 × 29
BD = 16.7 units
Find AD using TOA:
tan ∅ = opp/adj
tan 52 = AD/16.7
AD = (tan 52)(16.7)
AD = 21.4 units
Find AB using SOH:
sin 52 = 21.4/AB
AB = 21.4/sin 52
AB = 27.2 units
Find BC using CAH:
cos 30 = 29/BC
BC = 29/cos 30
BC = 33.5 units
Find AC:
AC = AD + DC
AC = 21.4 + 29
AC = 50.4 units.
m∠A = 180 - 52 - 90 = 38° (triangle sum theorem)
m∠ABC = 180 - m∠A - m∠C (triangle sum theorem)
m∠ABC = 180 - 38 - 30
m∠ABC = 112°
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Determine the consumers’ surplus of the market price is set at the equilibrium price (remember that x is measured in thousands)
Answer:here the answer
Step-by-step explanation:
....
