Answer:
Confidence interval: (21.9, 32.9).
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 26 - 1 = 25
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 25 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.485
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.485\frac{11.2}{\sqrt{26}} = 5.5[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 27.4 - 5.5 = 21.9 hours
The upper end of the interval is the sample mean added to M. So it is 27.4 + 5.5 = 32.9 hours
Confidence interval: (21.9, 32.9).
PLEASE PLEASE HELP
find the value of y
Answer:
Step-by-step explanation:
y=108/2=54°
Answer:
Y = 54
Step-by-step explanation:
Bob and Venessa share $52. if Bob gets three times what Venessa gets, how much does he get?
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]
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
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
my noluv.joel15 who wanna follow
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, I’m confused
Answer:
220/221
Step-by-step explanation:
cos math
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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helpppp meeee! pleaseeee!
Answer:
9
11
17
25
Step-by-step explanation:
Input the x into the equation
Answer:
2×2+5=9
2×3+5=11
2×6+5=17
2×10+5=25
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.
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.
-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
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
Canine Crunchies Inc. (CCI) sells bags of dog food to warehouse clubs. CCI uses an automatic filling process to fill the bags. Weights of the filled bags are approximately normally distributed with a mean of 45 kilograms and a standard deviation of 1.2 kilograms.
Requried:
a. What is the probability that a filled bag will weigh less than 49.5 kilograms?
b. What is the probability that a randomly sampled filled bag will weight between 48.5 and 51 kilograms?
c. What is the minimum weight a bag of dog food could be and remain in the top 15% of all bags filled?
d. CCI is unable to adjust the mean of the filling process. However, it is able to adjust the standard deviation of the filling process. What would the standard deviation need to be so that no more than 2% of all filled bags weigh more than 52 kilograms?
Answer:
a) 0.9999 = 99.99% probability that a filled bag will weigh less than 49.5 kilograms
b) 0.0018 = 0.18% probability that a randomly sampled filled bag will weight between 48.5 and 51 kilograms.
c) 46.24 kilograms
d) The standard deviation would have to be of 3.41 kilograms.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 45 kilograms and a standard deviation of 1.2 kilograms.
This means that [tex]\mu = 45, \sigma = 1.2[/tex]
a. What is the probability that a filled bag will weigh less than 49.5 kilograms?
This is the pvalue of Z when X = 49.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{49.5 - 45}{1.2}[/tex]
[tex]Z = 3.75[/tex]
[tex]Z = 3.75[/tex] has a pvalue of 0.9999
0.9999 = 99.99% probability that a filled bag will weigh less than 49.5 kilograms
b. What is the probability that a randomly sampled filled bag will weight between 48.5 and 51 kilograms?
This is the pvalue of Z when X = 51 subtracted by the pvalue of Z when X = 48.5.
X = 51
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{51 - 45}{1.2}[/tex]
[tex]Z = 5[/tex]
[tex]Z = 5[/tex] has a pvalue of 1
X = 48.5
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{48.5 - 45}{1.2}[/tex]
[tex]Z = 2.92[/tex]
[tex]Z = 2.92[/tex] has a pvalue of 0.9982
1 - 0.9982 = 0.0018
0.0018 = 0.18% probability that a randomly sampled filled bag will weight between 48.5 and 51 kilograms.
c. What is the minimum weight a bag of dog food could be and remain in the top 15% of all bags filled?
This is the 100 - 15 = 85th percentile, which is X when Z has a pvalue of 0.85. So X when Z = 1.037
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.037 = \frac{X - 45}{1.2}[/tex]
[tex]X - 45 = 1.037*1.2[/tex]
[tex]X = 46.24[/tex]
46.24 kilograms.
d. CCI is unable to adjust the mean of the filling process. However, it is able to adjust the standard deviation of the filling process. What would the standard deviation need to be so that no more than 2% of all filled bags weigh more than 52 kilograms?
X = 52 would have to be the 100 - 2 = 98th percentile, which is X when Z has a pvalue of 0.98, so X when Z = 2.054. We would need to find the value of [tex]\sigma[/tex] for this.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]2.054 = \frac{52 - 45}{\sigma}[/tex]
[tex]2.054\sigma = 7[/tex]
[tex]\sigma = \frac{7}{2.054}[/tex]
[tex]\sigma = 3.41[/tex]
The standard deviation would have to be of 3.41 kilograms.
please help me with this as soon as you can
9514 1404 393
Answer:
14.14
Step-by-step explanation:
The diagonal of a square is √2 times the side length.
AC = AB×√2
AC = 10√2 ≈ 14.14
_____
The diagonal of a square is the hypotenuse of an isosceles right triangle. If the sides of that are s and the diagonal is d, the Pythagorean theorem tells us ...
d² = s² + s²
d² = 2s²
d = (√2)(√s²) = s√2
This relation holds for any isosceles right triangle, not just for the diagonal of this square. It is useful to remember.
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
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:
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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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
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.
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 :)
Solve for x.
7(x + 2) = 6(x + 5)
X=-44
x = -16
x = 16
X= 44
Look in picture
Help please
Answer:
x= 16
Step-by-step explanation:
First, you want to distribute each side! (you're gonna wanna learn this because you will be having to do it for the next 3 years no joke it sucks)
7(x+2) can be distributed as 7x+14 after multiplying 7 times x and 7 times 2, and 6(x+5) can be distributed as 6x+30.
Now, you have to get the x on one side to solve for x (so like x=__).
To do this, look at the equation as of now. 7x+14=6x+30.
We can minus 14 and bring that to the right, and minus 6x and bring that to the left to separate the x's and the regular numbers.
Now we have 16=x (or x=16).
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
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°
2.6 cm = .........................mm
Answer:
26 mm
Step-by-step explanation:
1 cm is equal to 10 mm
2.6 cm
> 2.6 x 10
> 26 mm
Given f x please help me
Try math-way, it gives you the answers to stuff in mathematics, in this case algebra. Also there's no - between the two words, I had to do this because of brainly.
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 )
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
Please I need helpppp