Answer:
23.63% chance that exactly three is elderly
Step-by-step explanation:
The people are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
101 total people means that [tex]N = 101[/tex]
Sample of 6 means that [tex]n = 6[/tex]
66 elderly means that [tex]k = 66[/tex]
If you talked to six random people there, what is the percent chance that exactly three is elderly?
This is P(X = 3). So
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 3) = h(3,101,6,66) = \frac{C_{66,3}*C_{35,3}}{C_{101,6}} = 0.2363[/tex]
0.2363*100% = 23.63%
23.63% chance that exactly three is elderly
PLease Help help Help
Answer:
98.1 square units
Step-by-step explanation:
know you need it quick
A field biologist collects 220 butterflies and moths. He collects 4 butterflies for every moth. How many butterflies and how many moths does he collect?
if f(x)=5x-1, then f^-1(x)=
Answer:
F⁻¹(x) = [tex]\frac{1}{5} x +1[/tex]
Step-by-step explanation:
Inverse of 5 would be 1/5, and
Inverse of -1 would be +1
Hope this helps!
Answer:
-6
Step-by-step explanation:
if f(x)=-1
then you plug -1 into the equation then you get 5(-1)-1
then multiply 5 and -1 and get -5
so now youre left with -5-1
-5-1= -6
Does (3,8) make the Equation y=x-5 true?
Answer:
no
Step-by-step explanation:
20. Given circle C with radius r and circle D with radius
s, what is an appropriate first step when proving
circle C is similar to circle D?
O A. Transform circle C with a dilation that has center
Cand scale factors.
B. Transform circle C with a dilation that has center
C and scale factor r.
O C. Transform circle C with the translation that maps
point Conto point D.
OD. Transform circle C with the translation that maps
point onto point C.
Answer:
A. Transform circle C with a dilation that has center C and scale factor s.
Step-by-step explanation:
Given
Circle C
[tex]radius = r[/tex]
Circle D
[tex]radius = s[/tex]
Required
Map C to D
From the question, we can assume that:
[tex]r \ne s[/tex]
This implies that options c and d are false because when an object is translated from one point to another, the size of the object remains unchanged.
To map C onto D,
1) C has to be dilated from its own center C
2) The scale of dilation will be equal to the radius of D (i.e. s)
Hence, (A) is correct
Answer:
It's C
Transform circle C with the translation that maps point Conto point D.
9. Given a circle with a radius of 6, determine its sector area with an angle measure of 120°.
Answer:
2160 square units
Step-by-step explanation:
Given data
Radius= 6 units
Angle= 120°
Area of the sector is given as
Area of sector= r^2* ∅/2
Area of sector= 6^2*120/2
Area of sector= 36*60
Area of sector= 2160 square units
22/33 = a/24 sovle the proportion
Pwease help i will give you brain thing if its correct ♡
Answer:
1. 54 = 0.6x
2. 90 dollars (see below)
Step-by-step explanation:
54 = 0.6x
0.6 is the decimal equivalent of 60%
Divide both sides by 0.6:
54/0.6 = 0.6x/0.6
90 = x
The value of a car that depreciates over time can be modeled by the function
M(t) = 18000(0.8)^3t. Write an equivalent function of the form M(t) = ab^t.
Answer:
t=0
Step-by-step explanation:
What is got was 0
Tessellations
Rotate the parallelogram 180° clockwise about point Q.
Please select the best answer from the choices provided
Answer:
D.
Step-by-step explanation:
I calculated it logically
Jeremy was saving $8 per week.
How many weeks would it take him to save $124?
set n as the value of weeks jeremey needs to save
so jeremy needs to save 8n = 128
so n =[tex]\frac{128}{8}[/tex] = 16 weeks
what is the area of the object above
Quiz
Active
2.
Which net can be folded to form a pyramid?
Answer:
Where are the options?
An hour before show time, only 266 people are seated for a movie. . According to ticket sales, 93% of the people have yet to arrive. How many tickets were sold for the movie
Answer:
3800 tickets
Step-by-step explanation:
we are given that,
total people seated:266
yet to come:93%
so the percentage of people who have arrived is 100%-93%=7%
and one ticket for each people
therefore,
[tex] \displaystyle \begin{array}{ccc} \displaystyle \rm7\% \quad \text{People} \implies266 \: \text{tickets} \\ \displaystyle100 \%\: \quad \imath \imath \implies \frac{266}{7\%} \: \: \: \: \imath \imath \\ \\ \qquad \displaystyle \qquad\rm as \: \% = \frac{1}{100} \longleftarrow \frac{266}{ \dfrac{7}{100} } \\ \\ \displaystyle \rm \: by \: simplifying \: complex \: fraction\longleftarrow 266 \times \frac{100}{7} \\ \rm reduce \: fraction \longleftarrow 38 \times 100 \\ \rm simplify \:multiplication \longleftarrow3800\end{array}[/tex]
hence,
3800 tickets were sold for the movie
Answer:
Solutions given:
[100%-97%]=266people
7% =266people
Each people is 1 ticket.
266 people =266tickets
so
7% of people=266ticket
100% of people =266/7×100=3800tickets
3800tickets were sold for the movie
5. Penny and her family went out to eat at a local
restaurant. Three of them ordered a fried shrimp
basket, but her daughter Meghan ordered a basket
of chicken tenders, which was $4.95 less than the
shrimp basket. If the total order before tax was
$46.85, what was the price of a shrimp basket?
Answer: $13.45
Step-by-step explanation:
1. 48.85 + 4.95 = 53.8
2. 53.8/4 = 13.45
3. Shrimp basket = $13.45
Jamie practices singing for 45 minutes every day. Which equation represents the relationship between the total number of minutes (t ) and the number of days (d ) Jamie has practiced?
Answer:
t = 45d
Step-by-step explanation:
Number of days = d
Number of minutes = t
Number of minutes per day = 45 minutes
Total number of minutes of practice after d number of days will be :
t = number of minutes per days * Number of days
t = 45 * d
t = 45d
What is p(3) and p(3) when spinning the spinner shown at the right twice (fraction) ?
Answer:
1/49
Step-by-step explanation:
There are 7 possible outcomes, so the probability that the spinner lands on 3 twice is (1/7) * (1/7) = 1/49
Liam has 60 seeds and 12 plastic cups, and will plant the same number of seeds in each cup. Whicl equation shows the number of seeds in each cup? es 4 60 - 5 도 A 1260 5-12
Answer:
Number of seeds in each cup = 5 seeds in each cup
Step-by-step explanation:
Given:
Total number of seeds Liam has = 60 seed
Total number of plastics cup = 12 cups
Find:
Number of seeds in each cup
Computation:
Number of seeds in each cup = Total number of seeds Liam has / Total number of plastics cup
Number of seeds in each cup = 60 / 12
Number of seeds in each cup = 5 seeds in each cup
The two-way table shows the results of a recent study on the effectiveness of the flu vaccine.
A 4-column table has 3 rows. The first column has entries Vaccinated, not vaccinated, total. The second column is labeled Positive with entries 465, 485, 950. The third column is labeled Negative with entries 771, 600, 1,371. The fourth column is labeled Total with entries 1,236, 1,085, 2,321.
What is the probability that a randomly selected person who tested positive for the flu is vaccinated?
StartFraction 465 Over 2,321 EndFraction
StartFraction 465 Over 1,236 EndFraction
StartFraction 465 Over 950 EndFraction
StartFraction 465 Over 485 EndFraction
The probability that a randomly selected person who tested positive for the flu is vaccinated is 465/2321.
What is the probability?
Probability determines the chances that an event would happen. The odds the event occurs is 1 and the odds that the event does not occur is 0.
The probability that a randomly selected person who tested positive for the flu is vaccinated = number of people who tested positive and have been vaccinated / total number of people
465/2321
To learn more about probability, please check: https://brainly.com/question/13234031
#SPJ2
Answer:
its 465 Over 950 on edge 2022
Step-by-step explanation:
A cognitive psychologist believes that a particular drug improves short-term memory. An experiment is conducted in which 8 randomly selected participants are given the drug and then given a short time to memorize a list of 10 words. Participants are then tested for retention 15 minutes after the memorization period. The number of words correctly recalled by each participant is as follows: 8, 9, 10, 6, 8, 7, 9, 7.
Over the past few years, the psychologist has collected a lot of data using this task with similar subjects. Although he has lost the original data, he remembers that the mean was 6 words correctly recalled and that the data were normally distributed.
Required:
a. On the basis of these data, what can we conclude about the effect of the drug on short-term memory? Use α = 0.05.
b. Determine the size of the effect.
Answer:
We can conclude that there is significant evidence that the drug improves short term memory.
Step-by-step explanation:
Given the sample data : 8, 9, 10, 6, 8, 7, 9, 7.
The sample mean, xbar = Σx / n
Sample standard deviation :
√Σ(x - xbar)²/ n-1)
Xbar = 8
Sample size, n = 8
Standard deviation, s = 1.31
H0 : μ = 6
H0 : μ > 6
The test statistic :
(xbar - μ) ÷ (s/√(n))
(8 - 6) / (1.31 / √8)
2 /0.4631549
Test statistic = 4.318
Decision region :
Reject H0 ; if Pvalue < α
α = 0.05
Pvalue from Tscore calculator :
df = n - 1 ; 8 - 1 =7
Pvalue(4.318, 7) = 0.001744
Pvalue < α ; We reject H0 ; and conclude that there is significant evidence that the drug improves short term memory.
use a flowchart to prove if the triangles in each pair are congruent. NO LINKS!!!!
9514 1404 393
Answer:
see attached
Step-by-step explanation:
It isn't clear what is supposed to go in the various blanks. We have elected to identify the corresponding congruent parts, and name the congruent triangles. The postulate supporting the conclusion is also shown.
In most cases, corresponding parts are marked congruent. The exception is the vertical angles in figure 22.
the answer is x=4 4(2×8)
What can I easily tell about a parabola (just by looking at its function) if it's written in a factored form
Answer:
you can tell the solutions when y = 0, if its y = k(x-a)(x-b), the solutions are x= a, b
Step-by-step explanation:
The nutritional content per ounce of three foods is presented in the table below. If a meal consisting of the three foods allows exactly
1800 calories, 75 grams of protein, and 5650 milligrams of vitamin C, how many ounces of each kind of food should be used?
Food A
Food B
Food C
Calories
100
500
200
Protein
(in grams)
5
6
11
Vitamin C
(in milligrams)
400
2050
400
Food A:
OZ
Food B:
OZ
Food C:
OZ
Answer:
A = 5 ounces
B = 1 ounces
C = 4 ounces
Step-by-step explanation:
The 3 foods contain exactly 1800 calories but food A is 100 calories, food B is 500 calories and food C is 200 calories. Thus;
100A + 500B + 200C = 1800 - - - (eq 1)
The 3 meals allows exactly 75 grams of protein while A is 5 grams, B is 6 grams, C is 11 grams.
Thus;
5A + 6B + 11C = 75 - - - (eq 2)
The 3 meals allows exactly 5650 milligrams of vitamin C while A is 400 mg, B is 2050 mg and food C is 400 mg. Thus;
400A + 2050B + 400C = 5650 - -(eq 3)
Solving the 3 equations simultaneously online, we have;
A = 5 ounces
B = 1 ounces
C = 4 ounces
Food A is 5 ounces, Food B is 1 ounce, and Food C is 4 ounces and this can be determined by forming the linear equation in three variables.
Given :
The nutritional content per ounce of three foods is presented in the given table.A meal consisting of the three foods allows exactly 1800 calories, 75 grams of protein, and 5650 milligrams of vitamin C.Let the total amount of Food A be 'A', total amount of Food B be 'B', and the total amount of Food C be 'C'.
The linear equation that represents total calories in each food is:
100A + 500B + 200C = 1800
[tex]\rm A =\dfrac{ 1800 - 500B-200C}{100}[/tex]
[tex]\rm A =18 - 5B-2C[/tex] --- (1)
The linear equation that represents total protein in each food is:
5A + 6B + 11C = 75 ---- (2)
The linear equation that represents total Vitamin C in each food is:
400A + 2050B + 400C = 5650 --- (3)
Now, substitute the value of 'A' in equation (2).
[tex]\rm 5(18-5B-2C)+6B+11C=75[/tex]
Simplify the above equation.
90 - 25B - 10C + 6B + 11C = 75
C - 19B = -15
C = 19B - 15 ---- (4)
Now, substitute the value of 'C' in equation (1).
A = 18 - 5B - 2(19B - 15)
A = 18 - 5B - 38B + 30
A = 48 - 43B --- (5)
Now, substitute the value of A and C obtains in equations (4) and (5) in equation (3).
A = 5 ounces
B = 1 ounce
C = 4 ounces
For more information, refer to the link given below:
https://brainly.com/question/2263981
Help Give brainliest quickly
Answer:
I think the answer is forth one
Solve for x
x ^2 +3x−4=0
Answer:
= 1
= − 4
Step-by-step explanation:
Answer:
The solution set is {-4, 1}.
Step-by-step explanation:
x^2 + 3x − 4 = 0
(x + 4)(x - 1) = 0
x = -4, 1.
Henry started an assignment at 4:13 PM and finished it at 5:41 PM.
How long did it take him? Give your answer in minutes.
HELP ME PLEASEEEEEEEEEEEEEEEEEEE
Answer:
the last one :)
Step-by-step explanation:
A $120.00 pair of shoes at your nearby department store is marked up 4% and then is offered at 45% off. If sales tax is 13%, what is the total amount of tax that must be paid for this pair of shoes?
i need answer ASAP
Answer:
$26
Step-by-step explanation:
0.8(X - 3) = 18.4
X - 3 = 23
X = 26
• What is the difference? Complete the equation.
–30 – (-10) =
?
I need help with this
Answer:
65*
Step-by-step explanation:
All angles in a triangle = 180 degrees.