Answer:
The 99% confidence interval for the true mean number of reproductions per hour for the virus is between 3.8 and 4.2.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.575\frac{2.3}{\sqrt{1083}} = 0.18[/tex]
Rounding to one decimal place, 0.2.
The lower end of the interval is the sample mean subtracted by M. So it is 4 - 0.2 = 3.8 reproductions
The upper end of the interval is the sample mean added to M. So it is 4 + 0.2 = 4.2 reproductions.
The 99% confidence interval for the true mean number of reproductions per hour for the virus is between 3.8 and 4.2.
Seven cards are drawn from an ordinary deck. In how many ways is it possible to draw (b) only 8's, 's and (c) no 's, 's and (d) exactly 2 or ; (e) spades and hearts? (a) Number of ways to draw only 's = 0 (b) Number of ways to draw only 's, 's, and 's = 924 (c) Number of ways to draw no 's, 's, and 's = 3838380 (d) Number of ways to draw exactly 2 s or s = 3,801,028 (e) Number of ways to draw spades and hearts = 55770 Question is complete. Tap on the red indicators to see incorrect answers.
Complete question :
Seven cards are drawn from an ordinary deck. In how mnat ways is it possible to draw (a) only 5s (b)only 8s, 9s, and 10s, (c) no 8s, 9s, and 10s (d) exactly 2 jacks or kings, (e) 5 spades and 2 hearts?
Answer:
0; 792 ; 100396 ; 30408224 ; 18643560 ;
Step-by-step explanation:
Number of cards in a deck = 52
Number of cards to be drawn = 7
Using combination:
nCr = n! ÷ (n-r)!r!
A.)
Number of 5's in a deck = 4
4C7 = 0
(B.)
only 8s, 9s, and 10s,
Number of 8, 9 and 10's = 4 *3 = 12
12C7 = 12! ÷ 5!7! = 792
(C)
no 8s, 9s, and 10s ;
Number of cards to select from = 52 - (3(4)) = 40C7 = 18643560
(D)
exactly 2 jacks or kings,
Number of jack or king in deck = 8 ; other 5 could be any of the rest : (52 - 8) = 44
8C2 * 44C5 = 28 * 1086008 = 30408224
(e) 5 spades and 2 hearts?
Number of spades = 13
Number of hearts = 13
13C5 * 13C2
1287 * 78 = 100396
Brainliest for correct answer asap
Answer:
its the first one. Times the bigger numbers and add the indices. so it 16^7
Answer: A 16(7)
Step-by-step explanation:
First you multiply your base numbers,[4x4] to get 16 then you add your exponents [2+5] to get 7 and remember you can only add exponents not multiply them.
help please and explain (no links and random answers for points)
Answer:
No 2 answer is 6\8 i.e 3\4 for the one eaten and 2\8 i.e 1\4 for the left over
5,000 is invested at an interest rate of 8% compounded annually. how much is the investment return after 20 years?
Step-by-step explanation:
5k×8×20
_______ =800
100
Answer:
≈ 23305
Step-by-step explanation:
The amount A is calculated as
A = P [tex](1+r)^{t}[/tex]
P is the principal
r is the interest rate
t is the time in years
A = 5000 [tex](1+0.08)^{20}[/tex]
= 5000 [tex](1.08)^{20}[/tex]
≈ 23305 ( to the nearest whole number )
The sides of a triangle have lengths 6, 8, and 11. What is
the length of the longest side of a similar triangle whose
perimeter is 75?
Answer:
48 is the answer
Step-by-step explanation:
The longest side of the similar triangle whose perimeter is 75 is 33 units.
What is a triangle?A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.
The sum of the angles of a triangle is always 180°
The sides of the given triangle are,
6 units, 8 units and 11 units.
Also given that,
There is a similar triangle whose perimeter is 75 units.
To find the longest side of the similar triangle,
Let the sides of the similar triangle are 6x, 8x and 11x
The perimeter of triangle = 75
Implies that,
6x + 8x + 11x = 75
25 x = 75
x = 3
Since, the longest side of the similar triangle = 11 x
Substitute x = 3 here,
Longest side = 11 × 3 = 33 units
The required side of similar triangle is 33 units.
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Please help, I’m confused
Answer:
220/221
Step-by-step explanation:
cos math
What is the factored form of x^3 - x^2 - 30x?
Answer:
x(x − 6) (x + 5)
Step-by-step explanation:
this is the factored form of x^3 - x^2 - 30x
hope this helps and is right :)
This sign is 50 centimeters high and 40 centimeters along the base. What is it’s area?
height =50
base=40
area of triangle =1/2b*h
1/2*40*50
1000
simplify 8x+7-x-4
help meeeeee!!!
Answer:
7x + 3
Step-by-step explanation:
Let's simplify step-by-step.
8x + 7 − x − 4
= 8x + 7 + −x + −4
Combine Like Terms:
= 8x + 7 + −x + −4
= (8x + −x) + (7 + −4)
= 7x + 3
Answer:
= 7x + 3
hope this helps and is right. p.s i really need brainliest :)
if my answer is wrong then I am incredibly sorry!
Meiling and Jackie are playing a game of chance with a six-sided number cube. The sides of the cube are numbered 1 to 6. Meiling scores a point each time she rolls a number greater than 4.
Answer:
D. Jackie rolls a number that is less than 3.
Step-by-step explanation:
Every time Meiling rolls a number greater than a four, she will get a point. This gives her two numbers that she can get a point off of, 5 and 6. So If Jackie were to roll a number less than a three, Jackie would also get two numbers that she can get a point off of, 1 and 2. So the answer "Jackie rolls a number that is less than 3" will give Jackie an equally likely chance for a point.
What is 57 divided by 90?
Answer:
0.63 should be your answer
Answer;
0.6333333
Step-by-step explanation:
I think it's helps you
Find mZDOC.
A)
22°
B)
44°
C)
107
D)
126
Answer: [tex]107^{\circ}[/tex]
Step-by-step explanation:
[tex]m\angle DOC=\frac{170+44}{2}=\boxed{107^{\circ}}[/tex]
10. Find the measure of angle x.
11. Find the measure of angle ?
9514 1404 393
Answer:
10. 28°
11. 65°
Step-by-step explanation:
10. The two angles are complementary, so the unknown angle is ...
x = 90° -62° = 28°
__
11. The three angles total 180°, so the unknown angle is ...
? = 180° -55° -60° = 65°
answer and show Actual PROOF and ill give brainliest
Answer:
105m^3
Step-by-step explanation:
The volume of a rectangular prism is calculated by multiplying l*w*h. Basically, just multiply all the numbers together.
So that would be 3*5*7
A cubical tank of edge 12 cm is half filled with water. The water is poured into an empty rectangular tank measuring 10 cm by 8 cm by 7 cm until it is full. How much water is left in the cubical tank? Give your answer in millilitres.
Answer:
3040000mm³
Step-by-step explanation:
Volume of a cube = a³ ; a = size of edge
Volume of cubical tank = 12³ = 12 * 12 * 12 = 1728 cm³
Half filled cube = 1728 / 2 = 864 cm³
Volume is f rectangular tank :
V = length * width * height
V = 10 * 8 * 7 = 560 cm³
Volume of water left in cubical tank :
(864 - 560) = 304cm³
1cm³ = 1000mm³
304cm³ = 304 * 1000 = 3040000mm³
Given vectors A=(1i+7j−2k)N and B=(−1i−10j+13k)N, find the magnitude of resultant of these two vectors and angle that the resultant of these two vector makes with the z axis.
IRI= ____ N,
γ=_____ °. pls help mangota
Answer:
Step-by-step explanation:
y= 7.2
Iri=21.1
Answer:
that should be correct:)
Step-by-step explanation:
y= 7.2
Iri=21.1
What is the correct answer for this question?
Answer:
3 2/3 inches (the last one)
Answer:
[tex]maybe \: letter \: a[/tex]
my noluv.joel15 who wanna follow
The volume of a fish tank is 70 cubic feet. If the density is 0.4 fish over feet cubed, how many fish are in the tank?
175
88
28
14
Answer:
28 fish is the correct answer
Step-by-step explanation:.
The number of fish in the fish tank will be 28.
What is a volume?Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width, and height of the Cuboid.
The density of the fish is defined as the number of fish per unit volume of the tank.
Given that volume of a fish tank is 70 cubic feet and the density is 0.4 fish over feet cubed.
The number of fish is calculated as below:-
Number = Volume of tank x Density of fish
Number = 70 x 0.4
Number = 28 fish
Therefore, the number of fish in the fish tank will be 28.
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If m∠A = (11x + 37)° and x = 13, find m∠A and classify the angle (acute, right, obtuse, straight). Someone give me the two answers for this problem.
9514 1404 393
Answer:
obtuse, straight
Step-by-step explanation:
If you insist on two answers, there is only one pair of answers that are self-consistent:
obtuse, straight
__
m∠A = (11(13) +37)° = (143 +37)° = 180° . . . . a straight angle, also obtuse
A bag contains 8 red marbles and 4 blue marbles. You randomly pick a marble and then pick a second marble without returning the first marble to the bag. What is the probability that both marbles are red?
Answer:
0.50%
Step-by-step explanation:
Please I need helpppp
If ∠C and ∠D are complementary angles, m∠C = (4x + 3)°, find m∠D = (15x - 8)°, find m∠D.
Answer:
67
Step-by-step explanation:
4x+3+15x-8=90(complementary angle)
x=5
now D = 15*5-8
d=67
A park is in the shape of an isosceles triangle with a base of 56 feet. The perimeter of the park is 190 feet. How long is each of the equal sides of the park?
9514 1404 393
Answer:
67 feet
Step-by-step explanation:
The perimeter is the sum of the base length and the two equal sides (s).
190 = 56 +2s
134 = 2s . . . . . . subtract 56
67 = s . . . . . . . . divide by 2
Each of the equal sides is 67 feet long.
-9/5+-2/3+1/5+3/5 please solve someone
Answer:
-5/3
Step-by-step explanation:
-9/5 + -2/3 + 1/5 + 3/5
= (-9/5 + 1/5 +3/5) - 2/3 (combine the like terms)
= -1 - 2/3
= -5/3
Before starting to play the roulette in a casino you want to look for biases that you can exploit. Youtherefore watch 100 rounds that result in a number between 1 and 36 and you count the number ofrounds for which the result is odd. If the count exceeds 55, you decide that the roulette is not fair.Assuming that the roulette is fair, find an approximation for the probability that you will makethe wrong decision.
Answer:
[tex]P(n>55)=0.1357[/tex]
Step-by-step explanation:
From the question we are told that:
Sample size n=100
Sample space n'=36
Generally the equation for the mean number of times odds appears is mathematically given by
[tex]\=x_o=hp[/tex]
[tex]\=x_o=100*0.5[/tex]
[tex]\=x_o=50[/tex]
Generally the equation for standard deviation is mathematically given by
[tex]\sigma=(hp(1-p))^{1/2}\\\sigma=(50(0.5))^{1/2}[/tex]
[tex]\sigma=5[/tex]
Therefore probability to make wrong decision P(n>55)
[tex]P(n>55)=1-P(z<50.5/5)\\P(n>55)=1-P(z<1.1)\\P(n>55)=1-0.86[/tex]
[tex]P(n>55)=0.1357[/tex]
An approximation for the probability that you will make the wrong decision is 0.1587.
ProbabilityS=Number of time that the result was odd
n=100
p=0.5
Hence:
E[S]=100×0.5
E[S]=50
Standard deviation=√100×0.5×0.5
Standard deviation√25
Standard deviation=5
Using normal approximation to the binomial
P(S≥55)=P(S-50/5 ≥ 55-50/5)
P(S≥55)=1-P(z ≤ 1)
P(S≥55)=1-0.8413
P(S≥55)= 0.1587
Inconclusion an approximation for the probability that you will make the wrong decision is 0.1587.
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Please help me and no links or sites! Please
Answer:
B
Step-by-step explanation:
By using the fraction strip, if you think about it:
Pretend to color in 5/6 on the yellow side, and do the same to the 1/12 part, instead pretend to shade in 5/12. If you see how much remaining you have, you get 5/12.
PLEASE PLEASE HELP
find the value of y
Answer:
Step-by-step explanation:
y=108/2=54°
Answer:
Y = 54
Step-by-step explanation:
1. 4 less than q
2. The product of 5 and x, reduced by 3
Guys please help me I need this note to pass 6th grade
Bob and Venessa share $52. if Bob gets three times what Venessa gets, how much does he get?