The probability of a randomly selected adult in one country being infected with a certain virus is 0.004. In tests for the virus, blood samples from 15 people are combined. What is the probability that the combined sample tests positive for the virus? Is it unlikely for such a combined sample to test positive? Note that the combined sample tests positive if at least one person has the virus.
Answer:
The probability is [tex]P(R) = 0.0583 [/tex]
Step-by-step explanation:
From the question we are told that
The probability that selected adults are affected by virus is p = 0.004
The probability that adults are not affected by virus is [tex]q= 1- p = 1-0.004 = 0.996[/tex]
The sample size is n = 15
Generally from the question we are told that
The probability that the combined sample tests positive is equal to the probability that at least one person test positive for the virus
So
The probability that the combined sample tests positive for the virus is equal to
1- the probability that non of the adults selected tested positive for the virus
Generally the probability that non of the adults selected tested positive for the virus is
[tex]P(k) = q^n[/tex]
=> [tex]P(k) = q^{15}[/tex]
=> [tex]P(k) = 0.996^{15}[/tex]
=> [tex]P(k) = 0.9417 [/tex]
The probability that the combined sample tests positive for the virus is mathematically represented as
[tex]P(R) = 1 - P(k)[/tex]
=> [tex]P(R) = 1 - 0.9417 [/tex]
=> [tex]P(R) = 0.0583 [/tex]
what is 664,000 dived by 555,897
Answer:
I got 1.19446588127
when x=-4, what is the value of g(x)
Answer:
just fill in -4 for x so it would be g(-4)
Step-by-step explanation:
Happy Halloween
4. Parker has saved $1,200 for him and his
wife to go to an all-inclusive island resort.
He decides to take out a $1,000 simple
annual interest loan at 4.5% for 1 year
and stay in a suite. Is Parker being
financially responsible or financially
irresponsible? What is the monetary value
of his benefit or cost?
Answer:
To be honest i dont even know
Step-by-step explanation:
ummmm
Help!!! what is -6+x+4=-5
Answer:
x = -3 (yes that's negative 3)
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Answer:
[tex] \sf \: x = - 3[/tex]
Step-by-step explanation:
Now we have to,
→ Find the required value of x.
The equation is,
→ -6 + x + 4 = -5
Then the value of x will be,
→ -6 + x + 4 = -5
→ x + (-6 + 4) = -5
→ x + (-2) = -5
→ x - 2 = -5
→ x = -5 + 2
→ [ x = -3 ]
Hence, the value of x is -3.
Sara has 16 red flowers and 24 yellow flowers. She wants to make bouquets with the same number of each color flower in each bouquet.
Part A: What is the greatest number of bouquets she can make?
(Include the numerical answer only.)
Answer:
8
Step-by-step explanation:
make 8 bouquets: Each bouquet will have 2 red flowers and 3 yellow flowers.
will make brainllest plz nobody who doesn't know how to solve these answer.
show work
2,4,6,8,10
assig 9
Step-by-step explanation:
its to much but i solved only 2 i hoped i help
Which of the following is the correct value for x
4. In Canadian coins, 16 quarters is equal in value to 2 toonies.
number of quarters
number of toonies
1
16
2
20
24
a. Fill in the table.
Answer:
If 16 quarters is equal to 2 toonies, then 1 quarter is;
16 : 2
1 : x
16x = 2
x = 2/16
x = 1/8 toonies
20 quarters would therefore be;
= 1/8 * 20
= 2.5 toonies
24 quarters would be;
= 1/8 * 24
= 3 toonies
How to factor y^3 +2y^2 + 2y + 1
Answer:
Step-by-step explanation:
P(y) = y³ + 2y² + 2y + 1
P(-1) = (-1)³ + 2*(-1)² + 2*(-1) + 1
= -1 + 2 - 2 + 1
= 0
As, P(-1) = 0, (y + 1) is a factor.
Use synthetic division or remainder theorem.
-1 1 2 2 1
0 -1 -1 -1
1 1 1 0
quotient = y² + y + 1
y³ + 2y² + 2y + 1 = ( y + 1) (y² + y + 1)
What Is PI.
Don't Cheat Or No Points
Answer:
2.14159265358979323846264338327930288419716939937510582097494459230
Step-by-step explanation:
there's a song that I know
Gabriela Mistral was a poet, diplomat, teacher and humanitarian. Each week she worked a certain amount of days as a poet diplomat teacher and humanitarian. This ratio was one day as a poet to one day as a diplomat to three days as a teacher to two days as a humanitarian how many days must she work as a humanitarian if she works 12 days as a teacher?
Answer:
Gabriela Mistral works as a humanitarian for [tex]8[/tex] days.
Step-by-step explanation:
Gabriela Mistral was a poet, diplomat, teacher and humanitarian such that each week she worked a certain amount of days as a poet diplomat teacher and humanitarian.
Ratio is [tex]1:1:3:2[/tex]
Let [tex]x[/tex] denotes total number of days Gabriela Mistral work.
As she works 12 days as a teacher,
[tex]\frac{3}{7}x=12\\ x=\frac{7}{3}(12)\\ x=28[/tex]
Total number of days [tex]=x=28[/tex]
So,
she works as a humanitarian for [tex]\frac{2}{7}x=\frac{2}{7}(28)=8[/tex] days.
f(x) = - X2 + 6x - 11.
Answer:
×=11/4
Step-by-step explanation:
0=-2x+6x-11
0=4x-11
-4x=-11
x=11/4
Just please help me Solve for h 2x+y=rh
Answer:
[tex]h = \frac{2x+y}{r}[/tex]
TEN POINTS PLEASE ANSWER CORRECTLY AND DONT JUST STEAL THE POINTS
Is this graph a function? yes or no
Answer:
yes
Step-by-step explanation:
PLSSS HELPPP I WILL GIVE BRAINLIESTTTT!!!!!!!
Answer: Domain is [1,3], Range is [304,391]
Step-by-step explanation:
Domain is just the x values the table has from lowest to highest. Period is the x values so domain is [1,3]
Range is the y values from lowest to highest the lowest y is 304 and highest is 391, so you use those two numbers to get [304,391]
A figure contains line m and point A not on line m. How many lines pass through A that are perpendicular to line m?
Answer:
(1) one (2) two (3) zero (4) infinite
Step-by-step explanation:
The equation y=2x+10 describes the monthly cost to rent a movie at the local
video kiosk, where x represents the number of movies rented and y represents the
total cost. Find and describe the slope of this relationship.
Answer:
its a anwser
Step-by-step explanation:
22+2 = 187
Write the following equation in slope -intercept form : y - 3 = 4(x + 2)
Answer:
y=4x+11
Step-by-step explanation:
multiply 4 into the parentheses to get y-3=4x+8 then invert -3 so add three to both sides to get rid of it so instead of +8 its +11 so now its y=4x+11 and slope intercept is y=mx+b, so 4 is m, slope, and 11 is b, the y intercept i hope that helps
The difference in the x-coordinates of two points is 3, and the difference in the y-coordinates of the two points is 6. What
is the slope of the line that passes through the points?
O 2
O 3
06
09
Answer:
2
Step-by-step explanation:
slope= change of y/change of x
slope=6/3=2
In the diagram shown to the rig m
questions in photo pls help me its due tomorrow.
Step-by-step explanation:
Hey there!
Given;
[tex] {2}^{4x - 1} =32 [/tex]
[tex] {2}^{4x} . {2}^{ - 1} = {2}^{5} [/tex]
[tex] {2}^{4x} . \frac{1}{2} = {2}^{5} [/tex]
[tex] {2}^{4x} = {2}^{5} . {2}^{1} [/tex]
[tex] {2}^{4x} = {2}^{6} [/tex]
[tex]4x = 6[/tex]
[tex]x = \frac{6}{4} [/tex]
[tex]x = \frac{3}{2} [/tex]
7.)
[tex] \sqrt{x} - 3 = 7[/tex]
[tex] \sqrt{x} = 7 + 3[/tex]
[tex]( { \sqrt{x}) }^{2} = {(10)}^{2} [/tex]
X= 100
8.)
[tex]( {x + 1)}^{2} = 81[/tex]
[tex](x + 1) = \sqrt{81} [/tex]
[tex]x + 1 = \sqrt{ {9}^{2} } [/tex]
[tex]x + 1 = 9[/tex]
[tex]x = 9 - 1[/tex]
X=8
Hope it helps...
10 POINTS!! HELP ASAP!! What is the length of AC?
Answer:
D
Step-by-step explanation:
Δ CED and Δ CAB are similar thus the ratios of corresponding sides are equal, that is
[tex]\frac{CE}{CA}[/tex] = [tex]\frac{ED}{AB}[/tex] , substitute values
[tex]\frac{x}{156-x}[/tex] = [tex]\frac{7}{84}[/tex] = [tex]\frac{1}{12}[/tex] ( cross- multiply )
12x = 156 - x ( add x to both sides )
13x = 156 ( divide both sides by 13 )
x = 12
Thus
AC = 156 - x = 156 - 12 = 144 → D
Answer:
D. 144
Step-by-step explanation:
Triangle BAC is similar to triangle DEC, so you can set up a ratio:
[tex]\frac{84}{156-x} = \frac{7}{x}[/tex]
Then cross multiply
84x = 7 (156 - x)
84x = 1092 - 7x
Add 7x to both sides.
91x = 1092
Divide both sides by 91.
x = 12
AC = 156 - x
AC = 156 - 12
AC = 144
BRAINLIEST +16 points
(Plz respond before 11:59 and an explanation would be very appreciated)
7:
For a cylindrical grain silo, the dimensions are shown in the picture
provided. The weight in pounds, W, of the grain silage inside is generally given by..
W = 3300(40 - d), where d is the distance in feet from the top of the grain to the
top of the silo.
a.
-Use the distributive property to simplify the equation.
-Suppose d = 15 feet. What is the weight of the grain silo?
Answer:
we know that
volume of a grain silo=volume of a cylinder+volume of a hemisphere
volume of a grain silo=17000 ft³
volume of a cylinder=pi*r²*h
h=30 ft
volume of a cylinder=pi*r²*30----> 30*pi*r² ft³
volume of a hemisphere=(2/3)*pi*r³
so
17000=30*pi*r²+(2/3)*pi*r³-----> multiply by 3---> 51000=282.60*r²+6.28*r³
6.28*r³+282.60*r²-51000=0
using a graph tool
see the attached figure
the solution is
r=11.942 ft-------> r=11.9 ft
the answer is
The radius of the silo is 11.9 ft
Keith has 500 in his bank account. He earns $25 per week. He wants to have at least $740 in his Account at the end of the summer. How many weeks Miss Keith work?
Answer:
9 more weeks
Step-by-step explanation:
because if you do 740-500 you get 240
so then i divide 240 by the money per week (25) and
get 9.6 so it is 9 weeks
what point is on the graph of f(x) =6^x
Answer:
The point (1 | 6) is on the graph.
Step-by-step explanation:
Answer:
it is 1/6
Step-by-step explanation:
PLEASE HELP IM CHECKING MY ANSWERS!!!
Answer:
y=5x
Step-by-step explanation:
yes your correct
A)
I NEED THIS ASAP PLZ
As a student, you are able to earn extra money by assisting your neighbors with odd jobs. If you charged $10.25 an hour for your assistance, about how many hours would you need to work to earn $8,425? Show your work
Answer:
822 hours
Step-by-step explanation:
the answer would be 821.95----- but rounded to hours, it is 822
the give reasoning part for this is not correct. does anyone know the right answer
Answer:
80 degree angle while second has a 50 degree angle(looks like an icecream cone)
Step-by-step explanation:
Answer:
They aren't equivalent, they're congruent. That's why it marked your answer wrong.
Step-by-step explanation:
Which of the values below will make -3x + 15 > 102 true?
A. -27
B.-28
C. -29
D. All of the above
Answer:
C. -29Step-by-step explanation:
[tex]-3x + 15 > 102\\\\\mathrm{Subtract\:}15\mathrm{\:from\:both\:sides}\\\\-3x+15-15>102-15\\\\Simplify\\\\-3x>87\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\left(-3x\right)\left(-1\right)<87\left(-1\right)\\\\Simplify\\\\3x<-87\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\\\frac{3x}{3}<\frac{-87}{3}\\\\Simplify\\\\x<-29[/tex]