Answer:
a. [tex]Probability = 0.97735[/tex]
b. [tex]Probability = 0.92294[/tex]
c. [tex]P(At\ Least\ One) = 1[/tex]
No, it is not unusual if at least 1 lives up to 3.
Step-by-step explanation:
Given
Represent the probability that a 2 year old snake will live to 3 with P(Live);
[tex]P(Live) = 0.98861[/tex]
Solving (a): Probability that two selected will live to 3 years.
Both snakes have a chance of 0.98861 to live up to 3 years.
So, the required probability is:
[tex]Probability = P(Live)\ and\ P(Live)[/tex]
[tex]Probability = 0.98861 * 0.98861[/tex]
[tex]Probability = 0.9773497321[/tex]
[tex]Probability = 0.97735[/tex] --- Approximated
Solving (b): Probability that seven selected will live to 3 years.
All 7 snakes have a chance of 0.98861 to live up to 3 years.
So, the required probability is:
[tex]Probability = P(Live)^n[/tex]
Where [tex]n = 7[/tex]
[tex]Probability = 0.98861^7[/tex]
[tex]Probability = 0.92294324145[/tex]
[tex]Probability = 0.92294[/tex] --- Approximated
Solving (c): Probability that at least one of seven selected will not live to 3 years.
In probabilities, the following relationship exist:
[tex]P(At\ Least\ One) = 1 - P(None).[/tex]
So, first we need to calculate the probability that none of the 7 lived up to 3.
If the probability that one lived up to 3 years is 0.98861, then the probability than one do not live up to 3 years is 1 - 0.98861
This gives:
[tex]P(Not\ Live) = 0.01139[/tex]
The probability that none of the 7 lives up to 3 is:
[tex]P(None) = P(Not\ Live)^7[/tex]
[tex]P(None) = 0.01139^7[/tex]
Substitute this value for P(None) in
[tex]P(At\ Least\ One) = 1 - P(None).[/tex]
[tex]P(At\ Least\ One) = 1 - 0.01139^7[/tex]
[tex]P(At\ Least\ One) = 0.99999999999997513055642436060443621[/tex]
[tex]P(At\ Least\ One) = 1[/tex] ---- Approximated
No, it is not unusual if at least 1 lives up to 3.
This is so because the above results, which is 1 shows that it is very likely for at least one of the seven to live up to 3 years
A square lawn has a area 98ft a spin keeper placed at the center of the lawn sprays water in a circular pattern that just covers the lawn what is the radius of the circle
Answer:
Step-by-step explanation:
Given the area of the square as A = 98ft²
The side length of the square will be equivalent to the diameter of the circle.
First we need to get the length of the square.
Area of a square = L^2
98 = L²
L = √98
L = 9.89 ft
Hence the diameter of the circle is 9.89 ft
radius = diameter/2
radius = 9.89/2
radius ≈ 4.95 feet
Hence the radius of the circle is approximately 4.95 feet
A video game has the following formula:
For every 1,701 in attack power, you gain 3 levels.
You get one bonus star per every 33 levels completed.
If a player has an attack power of 0.04 million, how many bonus stars could they get?
Round to a whole number.
Answer:
2 bonus stars
Step-by-step explanation:
0.04 million= 40,000
40000/1701= 23.5
23.5(3)= 70.5
70.5/33= 2 stars
30/90 del número de plantas en un cultivo de caña está contaminada. De estas, el 1/2 ha sido tratada. ¿Cual es la fracción del número de plantas del cultivo que no ha sido tratada?
Answer:
1/6
Step-by-step explanation:
De la pregunta, sabemos:
30/90 del número de plantas de un cultivo de caña está contaminado.
30/90, simplificamos aún más
30/90 => 3/9 => 1/3
De estos, la mitad han sido tratados.
La fracción de los cultivos tratados son:
1/2 de 3/9 = 1/2 × 1/3
= 1/6
La fracción del número de plantas del cultivo que no ha sido tratada se calcula como:
1/3 - 1/6
El mínimo común denominador es 6
= (2 × 1) - (1 × 1) / 6
= 2 - 1/6
= 1/6
Usando proporciones, se encuentra que la fracción del número de plantas del cultivo que no ha sido tratada es [tex]\mathbf{\frac{5}{6}}[/tex]
Las plantas que no han sido tratadas son:
Las que non estan contamidas(6/9 de el total).1/2 de las contaminadas(1/2 de 3/9).Por eso, la proporción total es dada por:
[tex]\frac{6}{9} + \frac{1}{2}\frac{3}{9} = \frac{6}{9} + \frac{3}{18} = \frac{12}{18} + \frac{3}{18} = \frac{15}{18} = \frac{5}{6}[/tex]
La fracción del número de plantas del cultivo que no ha sido tratada es [tex]\mathbf{\frac{5}{6}}[/tex]
Un problema similar es dado en https://brainly.com/question/25377229
lupita and kevin walk to school.lupita walks 3/5 mi.kevin walks 0.65 mi.who walks a greater distance to school?how much greater?
Answer:
0.05
Step-by-step explana
3. Use the given information about the polynomial graph to write out the equation.
Degree 5, Roots of multiplicity 2 at x = 3 and x = -2 and a root of multiplicity 1 at x = 4,
y-intercept at (0,12).
Answer:
[tex]f(x)=-\frac{1}{12}(x-3)^2(x+2)^2(x-4)[/tex]
Step-by-step explanation:
The standard form for a polynomial equation in its factored form is:
[tex]f(x)=a(x-p)(x-q)...[/tex]
Where p and q are the zeros and a is the leading coefficient.
We know that the degree of the polynomial is 5.
We are also given roots at x=3 and x=-2. Hence, our factors are (x-3) and (x+2).
These have a multiplicity of two, so we will square them.
We also know that there is a root at x=4. Hence, the factor is (x-4). This has a multiplicity of 1.
Therefore, our polynomial is now:
[tex]f(x)=a(x-3)^2(x+2)^2(x-4)[/tex]
We know that the y-intercept is 12. Therefore, if we substitute in 0 for x, we should get 12 for y. Here, we are solving for our a. Therefore:
[tex]12=a(0-3)^2(0+2)^2(0-4)[/tex]
Evaluate:
[tex]12=a(9)(4)(-4)[/tex]
Evaluate:
[tex]-144a=12[/tex]
Divide both sides by -144:
[tex]a=-1/12[/tex]
Hence, our entire polynomial is:
[tex]f(x)=-\frac{1}{12}(x-3)^2(x+2)^2(x-4)[/tex]
Can someone help me please
Answer:
What do you need to know?
Step-by-step explanation:
Mark bought a fishing rod with an original price of $125.99. He has a 20% coupon that he plans to use. What will his discount amount be? Round your answer to the nearest cent (hundredths place) and include the $ sign How much will Mark pay for the fishing rod after the discount? Round your answer to the nearest cent (hundredths place) and include the $ sign
Answer:
$25.2
Step-by-step explanation:
Because 20% of $125.99 is 25.198 and if you round that number to the nearest cent you get 25.2.
Have a fantastic day!!!!!!!!!!!!!!
A medical researcher claims that 10 % of children suffer from a certain disorder. Identify the type I error for the test.
a. Reject the claim that the percentage of children who suffer from the disorder is different from 10% when that percentage really is different from 10%.
b. Fail to reject the claim that the percentage of children who suffer from the disorder is equal to 10% when that percentage is actually different from 10%.
c. Fail to reject the claim that the percentage of children who suffer from the disorder is equal to 10% when that percentage is actually 10%.
d. Reject the claim that the percentage of children who suffer from the disorder is equal to 10% when that percentage is actually 10%.
Answer:
D: Reject the claim that the percentage of children who suffer from the disorder is equal to 10% when that percentage is actually 10%.
Step-by-step explanation:
In statistics, type I error is when we reject the null hypothesis even when it is true.
Now, the claim which is the null hypothesis is that that 10 % of children suffer from a certain disorder.
This means that a type I error will be;
Reject the claim that the percentage of children who suffer from the disorder is equal to 10% when that percentage is actually 10%.
Find the system of inequalities which represents the shaded region on the coordinate plane.
A)y> 2x² + x and y> 1 + x
B)y > 2x² + x and y> 1 - x
C)y> 2x²- x and y> 1 + x
D)y > 2x² - x and y > 1 - x
Answer:
given, y≥2x+1 and
y>
2
1
x−1
first, draw the graph for equations y=2x+1 and y=
2
1
x−1
for y=2x+1
substitute y=0 we get, 2x+1=0⟹x=−0.5
substitute x=0 we get, y=1
therefore, y=2x+1 line passes through (0.5,0) and (0,1) as shown in fig.
Hence, y≥2x+1 includes the region above the line.
for y=
2
1
x−1
substitute y=0 we get,
2
1
x−1=0⟹x=2
substitute x=0 we get, y=−1
therefore, y=2x+1 line passes through (2,0) and (0,-1) as shown in fig.
Hence, y>
2
1
x−1 includes the region above the line.
the intersection region is the shaded region as shown in above figure which includes I, II and III quadrants.
Therefore, quadrant IV has no solution please make as brainlelist
Three letters are randomly chosen from the word PROBABILITY. What is the probability that one of the letters is P?
Answer:
If 3 letters are picked from the word 'PROBABILITY', the chances of it being P is 33.33%.
Hope this helps and if you could mark me as brainliest. Thanks!
A game involves drawing a single card from a standard deck. One receives 60 cents for an ace, 30 cents for a king, and 5 cents for a red card that is neither an ace nor a king. If the cost of each draw is 10 cents, what is the expected value?
Answer:
The expected game value is -1 cent
Step-by-step explanation:
Here, we want to calculate the expected value of the game
We have 4 aces and 4 kings, including 26 red cards
The number of aces is 4
Probability of drawing an ace is 4/52 = 1/13
Probability of drawing a king is also 4/52 = 1/13
There are 26 red cards
The number of red cards that are neither ace nor king
There are 2 red aces and 2 red kings
So the number of cards that are red but are not
aces nor kings are 26-2-2 = 22
The probability of selecting this is 22/52 = 11/26
So the expected value is simply the probability multiplied by the amount
Thus, we have;
(60 * 1/13) + (30 * 1/13) + (5 * 11/26)
= 60/13 + 30/13 + 55/26
= (120 + 60 + 55)/26 = 9.038 cents which is approximately 9 cents
we subtract this from the 10 cents we are playing with, thus we are left with 9-10 = -1 cent
What is the value of x?
6.7578x=13
276
175
18
53
O
Answer:
Step-by-step explanation:
6.7578 *x = 13 divide both sides by 6.7578
[tex]\frac{6.7578}{6.7578} *x = \frac{13}{6.7578}[/tex]
x= 1.923
A pack of gatorade states that 4 tablespoons of mixture should be added for every 7 cups of water. If the container holds 56 cups of water in it, how much should be added to the water?
235 people are at a summer camp. There are 35 more boys than girls, and 70 fewer adults than girls. How many people of each group are at the camp?
Answer:
125 boys, 90 girls and 20 adults
Step-by-step explanation:
Let the number of boys be x
Let the number of girls be y
Let the number of adults be z
If there are 235 people at the summer camp, then;
x + y+ z = 235 ..... 1
If there are 35 more boys than girls, then;
x = y + 35 .... 2
If there are 70 fewer adults than girls then;
y = z - 70
z = y - 70....3
Substitute 2 and 3 into 1;
x + y+ z = 235 ..
(y+35)+y+(y-70) =235
3y -35 = 235
3y = 270
3y/3 = 270/3
y = 90
Since x = y + 35
x = 90 + 35
x = 125
Also z = y - 70
z = 90+70
z = 20
There are 125 boys, 90 girls and 20 adults
Answer:
There are 90 girls, 125 boys, and 20 adults.
Step-by-step explanation:
Let x be the number of girls. How many boys were there?
x + 35
How many adults were there?
x - 70
We know that 235 people are at RSM summer camp. Use this to make an equation.
x + (x + 35) + (x - 70) = 235
x + x + 35 + x - 70 = 235
3x - 35 = 235
3x - 35 + 35 = 235 + 35
3x = 270
3x ÷ 3 = 270 ÷ 3
x = 90
x, x + 35, x - 70
90, 125, 20
The weights of ice cream cartons are normally distributed with a mean weight of 13 ounces and a standard deviation of 0.5 ounce. (a) What is the probability that a randomly selected carton has a weight greater than 13.14 ounces? (b) A sample of 36 cartons is randomly selected. What is the probability that their mean weight is greater than 13.14 ounces?
Answer:
The weights of ice cream cartons produced by a manufacturer are normally distributed with a mean weight of 10 ounces and a standard deviation of 0.5 oun
Find the length of the third side of the right angle
Answer:
54
Step-by-step explanation:
1.682 inches rounded to the nearest whole number is 1 inches?
It's closer to 2, so it would be rounded from 1.682 in to 2 in.
Answer:
No, its most likely 2
Step-by-step explanation:
6 is closer to 10
hope this helps :) btw if ya like rap follow my brother on yt his rap his name is Ghxstboiireaper
Jimmy scored 49 goals in soccer this season. Tommy scored 7 times fewer goals. how many goals did Tommy score
6. Află termenul necunoscut
Un punct
a+ 5762= 8753
*
O
a= 2999
O
a= 2919
O
a= 2991
Answer:
2999
Step-by-step explanation:
a coz terminal nenu .
add by that
Answer:
a... Is.... 2991.....
The sum of a number g squared and 4 is greater than or equal to −5.
Answer:
g^2 + 4 > -5
Step-by-step explanation:
sum implies addition so add it with 4
i can’t put the equal to thing on here but there is supposed to be a line under the greater than symbol
Answer:
[tex]g\geq +/- 3i[/tex]
Step-by-step explanation:
Using clues given in the problem, we can set up a solvable inequality.
A number g squared: [tex]g^{2}[/tex]
The sum of a number g squared and 4: [tex]g^{2}+4[/tex]
Is greater than or equal to: [tex]g^{2}+4\geq[/tex]
Greater than or equal to -5: [tex]g^{2}+4\geq-5[/tex]
Isolate [tex]g[/tex]:
[tex]g^{2}\geq -9[/tex]
Solve for [tex]g[/tex]:
[tex]\sqrt{g^{2}}\geq \sqrt{-9}[/tex]
This^ looks bad because of the negative, but as I'll show you in the next step it can be split up and you will use the value [tex]i[/tex], or [tex]\sqrt{-1}[/tex].
[tex]g\geq \sqrt{9} \sqrt{-1}[/tex]
[tex]g\geq +/-3i[/tex]
I hope this helps!
After driving 120 miles you completed 3/4 of the trip. How long was the entire trip
Answer:
160
Step-by-step explanation:
120/3 = 40
40 x 4 = 160
May I have brainliest please? :)
What does 2.89x0.79x1.35= equal?
Answer: 3.082185x^2
Step-by-step explanation: Find the exact value using trigonometric identities
PLz HELP I BEG I GIVE U BRAINLYEST
Answer:
I believe it is 19.8
Step-by-step explanation:
well if 9 is the number then I would do
9.9 +
9.9
______
I get 19.8
Tell me if I am wrong :)
Answer:
a.b+c.d=_
Cancellation of the c here requires that it appears in each additive term of the numerator and denominator: ca + cb cd. = c(a + b) cd. = a + b d but ca + b.
Step-by-step explanatin:
you just had to add both of them together and I showed you how, and what the answer is.
Arizona iced tea is manufactured in a warehouse by machines that bottles
the iced tea bottles and puts the caps and labels on them. There is a
special machine that bottles iced tea so that every 8th bottle gets a green
label and every 6th bottle gets a pink cap.
What number bottle will be the first bottle to get a green label and a
pink cap?
On the 100th year Anniversary every 10th bottle got a special edition bottle
that has a gold band.
What number bottle will be the first to get a green label, a pink cap
and a special edit
Answer:
to get a green and pink it would be 24
i cant find find the special edit sorry
Step-by-step explanation:
A particular asteroid moves at a speed of 55,000 miles per hour . How many hours will it take the asteroid to travel a distance of 4.62x 10^5 miles ?
Answer:
8.4 hours
Step-by-step explanation:
Given that:
Speed of asteroid = 55000 miles/hr
Distance traveled by asteroid = 4.62 [tex]\times[/tex] [tex]10^5[/tex] miles
We are required to find here how many hours the asteroid will take to travel the given distance with the given speed.
Formula for speed can be given as following:
[tex]Speed = \dfrac{Distance}{Time}[/tex]
OR, the formula for time in terms of speed and distance can be given as following:
[tex]Time= \dfrac{Distance}{Speed}[/tex]
Putting the given values in the formula to find the Time:
[tex]Time= \dfrac{4.62\times 10^5}{55000}\\\Rightarrow \bold{Time = 8.4\ hours}[/tex]
Write the number, 81.402 in expanded form using powers of ten.
Answer:
the answer is 81.402 in expanded form using the powers of ten = (8 x 10^1) + (1 x 10^0) + (4/10^1) + (0/10^2) + (2/10^3)
Step-by-step explanation:
PLEASE HELP I NEED TO TURN THIS IN BEFORE 2.
what fractions of the second ten counting numbers (11,12,13...,.18,19,20) Are composite and prime
will be the brainest
Answer:
Fraction of composite numbers = 6/10
Fraction of prime numbers = 4/10
Step-by-step explanation:
A composite number can be defined as a positive integer that will be formed when we multiply two smaller positive integers. It can also be said to be a positive integer that has at least one divisor of which 1 and itself are not included.
Thus, it means that the set of numbers given to us which is;
(11, 12, 13, 14, 15, 16, 17, 18, 19, 20), the composite numbers are;
12, 14, 15, 16, 18, 20
This is because each of them have at least one divisor that is neither itself or 1.
Thus, we have 6 out of the 10 numbers as composite.
Fraction of composite numbers = 6/10
Now, a prime number is a number that are only divisible by itself and 1.
Thus,from the given set, the prime numbers are; 11, 13, 17 & 19
We have 4 out of 10 numbers as prime numbers.
Thus, fraction of prime numbers = 4/10
if you do it ill mark you brainly plz do it
Answer:
A
Step-by-step explanation:
To find the change, we do final-beggining
since his first rating is -7 and his final rating is -2
-2-(-7)
HELPPPPP !!!
What is the justification for the step taken from line 2 to line 3?
3x +9-7X=X+10+X
-4x+9 = 2x+10
-6x+9= 10
-6x=1
x = 6 음
(A) the subtraction property of equality
(B) the multiplication property of equality
(C) combining like terms on one side of the equation
(D) the distributive property
Submit
Answer:
(A) the subtraction property of equality
Step-by-step explanation:
Given
The steps in the question
Require
Justify step 2 to 3
Write out step 2:
[tex]-4x+9 = 2x+10[/tex]
Apply subtraction property by subtracting 2x from both sides
[tex]-4x-2x+9 = 2x-2x+10[/tex]
[tex]-6x+9 = 10[/tex]
Notice that the above equation is represented in step 3.
Hence, option A answers the question.
A. the subtraction property of equality
pls answer ASAP
Select all that apply.
Which decimals in the list are repeating decimals?
Answer:
- 5/6
- 1/3
Step-by-step explanation:
Answer:
A and F
Step-by-step explanation:
5/6 and 1/3