A genetic experiment with peas resulted in one sample of offspring that consisted of 440 green peas and 155 yellow peas.
a. Construct a 95% confidence interval to estimate of the percentage of yellow peas.
b. Based on the confidence interval, do the results of the experiment appear to contradict the expectation that 25% of the offspring peas would be yellow?
The 95 percent confidence interval is (0.20, 0.32).
a. We can construct a 95% confidence interval to estimate the percentage of yellow peas as follows:
Let p = proportion of yellow peas = 155/595 = 0.26
Sample size = n = 595
Standard error = SE = √(p × (1-p) / n) = √(0.26 × (1-0.26) / 595) = 0.03
95% confidence interval = p ± 1.96 × SE
= 0.26 ± 1.96 × 0.03
= 0.26 ± 0.06
So, the 95% confidence interval is (0.20, 0.32).
b. Yes, the results of the experiment appear to contradict the expectation that 25% of the offspring peas would be yellow, as the 95% confidence interval does not include the expected value of 0.25.
Therefore, the 95 percent confidence interval is (0.20, 0.32).
To learn more about the confidence interval visit:
https://brainly.com/question/14041846.
#SPJ1
cómo se escribe el número 88,317
Answer:
ochenta y ocho mil trescientos diecisiete
Step-by-step explanation:
eighty-eight thousand three hundred seventeen
Answer:
80,000 + 8,000 + 300 + 10 + 7
eighty-eight thousand three hundred seventeen
Step-by-step explanation:
hola <3 espero que haya ayudado
A box of tissues is 13cm in height and 11 cm in length. Its volume is 1501.5 cm cubed. What is the width, of the box of tissues?
The width of the box of tissues is approximately 10.49 cm.
How to find the width of the box of tissuesWe can use the formula for the volume of a rectangular prism:
Volume = Length × Width × Height
We may rearrange the formula to find the breadth if we know the volume is 1501.5 cm3 and the length is 11 cm:
Width = Volume / (Length × Height)
Substituting the given values:
Width = 1501.5 cm³ / (11 cm × 13 cm)
Width = 1501.5 cm³ / 143 cm²
Calculating the result:
Width ≈ 10.49 cm
So, the width of the box of tissues is approximately 10.49 cm.
Learn more about volume of rectangular prism here : brainly.com/question/23665595
#SPJ1
what is 37.4÷5.5?
popcorn is nice
Answer: 6.8 I think
.
37.4 divided by 5.5 is 6.8
I love popcorn too! I hope I helped! Have an amazing day, if I helped please vote, thanks, and mark brainliest.
Yours,
Fellow brainiac
=
A sample of size n=200 has a known population standard deviation of 15.0. The population
appears to be skewed. Determine whether a margin of error should be calculated using a
critical value of za 2. a critical value of ta2, or neither.
a critical value of ta/2
a critical value of Za/2
Neither
Answer: B. a criticall value of Za/2
Step-by-step explanation: just took the test
Write the equation of the line, in standard form, using the following information:Point 1: (5, -7)Point 2:(-1,2)Equation:11(Do not use any spaces in your answer. Do notuse mixed numerals. Simplify as much as possible.)
( x 1, y1 ) = (5, -7)
(x 2 , y2) = ( -1 , 2)
Gradient , m= (y2 -y1 ) / ( x2 - x 1)
= (2 - -7 ) /( -1 -5 )
=( 2 + 7 )/ ( -6)
= 9/-6
= -3/2
The new equation should be y - y1 = m ( x -x1 )
y - -7 = -3/2 ( x - 5)
y + 7 = -3/2 ( x - 5 )
Multiply through by 2, we have :
2 y + 14 = -3 x + 15
3 x + 2 y = 15- 14
3 x + 2 y = 1
(i)If the circumference of the circle is 88 cm ; Find the diameter.
(Take π = 22/7 )
Circumference of the circle = 88 cm
π = 22/7
To Find:The Diameter of the circle.
Formula:Circumference of circle = 2πr
r = radius
Solution:Circumference of the circle = 2πr = 88 cm
Circumference of the circle = πr = 88/2 = 44 cm
Circumference of the circle = r = 44 × 7/22 = 14 cm
r (radius) = 14 cm
d (diameter) = 2r = 2(14) = 28 cm
Answer:Diameter of the circle = 28 cm
Researchers gave 40 index cards to a waitress at an Italian restaurant in New Jersey. Before delivering the bill to each customer, the waitress selected one of the index cards without reading it and wrote on the bill the same message that was printed on the card. Twenty of the cards had the message "The weather is supposed to be really good tomorrow. I hope you enjoy the day!" Another 20 cards contained the message "The weather is supposed to be not so good tomorrow. I hope you enjoy the day anyway!" After the customers left, the waitress recorded the amount of the tip (percentage of bill) before taxes. The tips for those receiving the good‑weather message are as follows.
20.8 18.7 19.9 20.6 21.9 23.4 22.8 24.9 22.2 20.3
24.9 22.3 27.0 20.5 22.2 24.0 21.2 22.1 22.0 22.7
The tips for the 20 customers who received the bad weather message are as follows.
18.0 19.1 19.2 18.8 18.4 19.0 18.5 16.1 16.8 14.0
17.0 13.6 17.5 20.0 20.2 18.8 18.0 23.2 18.2 19.4
Click to download the data in your preferred format.
CSV Excel JMP Mac-Text Minitab14-18 Minitab18+ PC-Text R SPSS TI CrunchIt!
Back‑to‑back stemplots of the tips are shown.
Good Weather Tips Bad Weather Tips
13 6
14 0
15
16 1 8
17 0 5
7 18 0 0 2 4 5 8 8
9 19 0 1 2 4
8 6 5 3 20 0 2
9 2 21
8 7 3 2 2 1 0 22
4 23 2
9 9 0 24
25
26
0 27
Because the distributions are reasonably symmetric with no extreme outliers, the procedures will work well.
Is there good evidence that the two different messages produce different percentage tips?
Bruce Rind and David B. Strohmetz, "Effect of beliefs about future weather conditions on restaurant tipping," Journal of Applied Social Psychology, 31 (2001), pp. 2160–2164.
Carry out a two‑sample test. What is the test statistic? Give your answer to three decimal places.
=
What is the -value? Give your answer to three decimal places.
-value:
The test statistic and p-value of the given data are 6.274 and 0.0001 respectively.
Test StatisticThe test statistic can be calculated using the formula below
\(t = \frac{x-\mu}{\sigma / \sqrt{n} }\)
Solving for the mean and standard deviation, we can substitute the values into the above equation which will be
\(t = \frac{x-\mu}{\sigma / \sqrt{n} } = 6.274\)
P-ValueUsing the data from the test statistic, we can calculate the p-value of the data
\(p-value = p(z < 6.274)= 0.0001 = 0.00\)
From the calculation above, the test statistic and p-value of the given data are
6.2740.0001Learn more on test statistic and p-value here;
https://brainly.com/question/4621112
Please help with this slope problem!!
Geometry Section 58C/School Year/
For the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A
Part B, and Part C
Part A: How many triangles can be formed if the measurements of a triangle are a 27,6-15, A-557
Part B: Explain how to determine the answer to Part A
Part C: Find all possible solutions for this triangle.
BiFont Family -AA-A
11
P Type here to search
ii
LE
8
DELL
I
PREVIOUS
19 of 23
NEXT
nomad
SAVE & EXT
3:00 PM
3/14/2023
1. Triangle inequality theorem.
3. The missing lengths and angles are:
<B = 27.07, <C = 98 and c = 32.64.
1. According to triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
2. To determine the number of triangles that can be formed, we can use the given measurements and check if the triangle inequality theorem is satisfied.
3. We have,
a = 27, b = 15, and A = 55°,
Using the Law of Sines,
sin A/ a = sin B/ b
sin 55 /27 = sin B / 15
0.81915204428 / 27 = sin B /15
0.4550844690444 = sin B
<B = 27.07
Now, <C = 180 - <A - <B = 180 - 55 - 27.07 = 98
Now, Using the Law of Sines
sin A/ a = sin C/ C
0.81915204428 / 27 = sin 98 / c
0.030338964602963 = 0.99026807 /c
c = 32.64
Learn more about Sine Law here:
https://brainly.com/question/13098194
#SPJ1
Put these numbers in order of their distance from 0 on the number line, starting with the smallest distance: -26, -12.7, -9/2, 2/100, 7, 11 1/4 , 41/2, 35
The ordered list is:
\(\begin{gathered} 0.02,-4.5,7,11.25,-12.7,20.5,-26,35 \\ or \\ \frac{2}{100},-\frac{9}{2},7,11\frac{1}{4},-12.7,\frac{41}{2},-26,35 \end{gathered}\)is it possible for an object to have no (zero) momentum? use the mathematical definition of momentum (p
Yes, it is possible for an object to have zero momentum. Momentum is defined as function the product of mass and velocity, so an object with zero mass or zero velocity will have zero momentum.
Momentum is a physical property of an object that is equal to the product of its mass and velocity. It is measured in kilogram meters per second (kg m/s) and is a vector quantity, meaning it has both magnitude and direction. In order for an object to have zero momentum, it must have either zero mass or zero velocity. An object with zero mass will always have zero momentum regardless of its velocity, while an object with zero velocity will only have zero momentum if its mass is also zero. An object with nonzero mass but zero velocity still has nonzero momentum if its mass is not zero. Therefore, it is possible for an object to have zero momentum.
Learn more about function here
https://brainly.com/question/29633660
#SPJ4
the complete question is
is it possible for an object to have no (zero) momentum? use the mathematical definition of momentum (p) to explain
It is possible for an object to have No (Zero) momentum because Momentum is the product of mass and velocity, so the object with zero mass or zero velocity will have No momentum.
What is Momentum ?
The Momentum of an object is a vector quantity that is defined as the product of the mass and velocity , the unit of measurement if Kg m/s .
So , for the object to have No (zero) momentum, the object must have either zero mass or zero velocity. that means the object with zero mass will always have No (zero) momentum regardless of velocity of the object ,
whereas the object with 0 velocity will only have No (zero) momentum if the mass is also 0 .
Therefore , By the Mathematical Definition of momentum , Yes , it is possible for the object to have No(zero) momentum .
Learn more about Momentum here
https://brainly.com/question/8635369
#SPJ4
A shipping box is 36 inches by 24 inches by 18 inches
how many cubic feet can it hold
Answer:
To find the volume of the shipping box in cubic feet, we need to convert the dimensions from inches to feet and then calculate the volume.
Given:
Length = 36 inches
Width = 24 inches
Height = 18 inches
Converting the dimensions to feet:
Length = 36 inches / 12 inches/foot = 3 feet
Width = 24 inches / 12 inches/foot = 2 feet
Height = 18 inches / 12 inches/foot = 1.5 feet
Now, we can calculate the volume of the box by multiplying the length, width, and height:
Volume = Length * Width * Height
Volume = 3 feet * 2 feet * 1.5 feet
Volume = 9 cubic feet
Therefore, the shipping box can hold 9 cubic feet.
Step-by-step explanation:
First convert the units because it's asking for the cubic feet but they give us the measurements in inches.
To convert inches to feet we divide the number by 12.
36 ÷ 12 = 3
24 ÷ 12 = 2
18 ÷ 12 = 1.5
Now to find the volume, we multiply it all together.
3 × 2 × 1.5 = 9
It can hold 9 cubic feet.
Hope this helped!
I need an answer for 5/6x4. I appreciate the effort in helping. Sorry im not very good at fractions
Answer:
3.33
Step-by-step explanation:
Answer:
3 1/3
Step-by-step explanation:
5/6 x 4 = 3 1/3
Solve each system of linear equations below, then check your work.
A. 3x−y=−11 −x+y=5
B -2y+3= 4x + 2 6x + 4y=1
C. 32y- x= -25 5x= 100 + x - 8Y
D. 2y + 3x = 6 4x + 5y +20 = 0
A. The solution of linear equation is (x, y) = (-3, 8).
B. The solution is (x, y) = (3/4, -1).
C. The solution is (x, y) = (-31/8, 3/8).
D. The solution is (x, y) = (55/7, -117/14).
A. 3x - y = -11 --- (1)
-x + y = 5 --- (2)
From equation (2), we can write y = x + 5, and substitute it in equation (1):
3x - (x + 5) = -11
2x = -6
x = -3
Substituting x in equation (2):
-y = -8
y = 8
Therefore, the solution of the system is (x, y) = (-3, 8).
To check the solution, we substitute the values of x and y in the original equations:
3(-3) - 8 = -11 (True)
-(-3) + 8 = 5 (True)
So, the solution is correct.
B. -2y + 3 = 4x + 2 --- (1)
6x + 4y = 1 --- (2)
From equation (1), we can write 4x + 2 = -2y + 3, and substitute it in equation (2):
6x + 4y = 1
6x - 4y = 8 (rearranging)
12x = 9
x = 3/4
Substituting x in equation (1):
-2y + 3 = 4(3/4) + 2
-2y + 3 = 5
-2y = 2
y = -1
Therefore, the solution of the system is (x, y) = (3/4, -1).
To check the solution, we substitute the values of x and y in the original equations:
-2(-1) + 3 = 4(3/4) + 2 (True)
6(3/4) + 4(-1) = 1 (True)
So, the solution is correct.
C. 32y - x = -25 --- (1)
5x = 100 + x - 8y --- (2)
From equation (2), we can write 4x = 100 - 8y, and substitute it in equation (1):
32y - x = -25
32y - (100 - 8y) = -25
40y = 75
y = 3/8
Substituting y in equation (1):
32(3/8) - x = -25
x = -31/8.
Therefore, the solution of the system is (x, y) = (-31/8, 3/8).
To check the solution, we substitute the values of x and y in the original equations:
32(3/8) - (-31/8) = -25 (True)
5(-31/8) = 100 + (-31/8) - 8(3/8) (True)
So, the solution is correct.
D. To solve the system of equations:
2y + 3x = 6 --- (1)
4x + 5y + 20 = 0 --- (2)
We can rearrange equation (2) to isolate one of the variables:
4x + 5y = -20 (subtracting 20 from both sides)
5y = -4x - 20 (subtracting 4x from both sides)
y = (-4/5)x - 4 (dividing both sides by 5)
Substituting this value of y in equation (1):
2((-4/5)x - 4) + 3x = 6
(-8/5)x - 8 + 3x = 6
(-8/5)x + 3x = 14
(-8/5 + 3)x = 14
(-8/5 + 15/5)x = 14
(7/5)x = 14
x = 10
Substituting this value of x in the equation for y:
y = (-4/5)(10) - 4
y = -12.
Therefore, the solution of the system is (x, y) = (10, -12).
To check the solution, we substitute the values of x and y in the original equations:
2(-12) + 3(10) = 6 (True)
4(10) + 5(-12) + 20 = 0 (True)
So, the solution is correct.
For similar question on linear equations.
https://brainly.com/question/2030026
#SPJ11
find the quotient: –18 ÷ 6
Answer:
=3
Step-by-step explanation:
Simply, you need to find which number times 6 will give you -18, the answer is 3.
I hope this helps!
Answer:
-3 is the answer
Step-by-step explanation:6*3 =18 and there is already a positive number which is 6 so the negative must be three
In the 2012 Olympics a U.S. athlete Nathan Adrian finished the 100-meter freestyle swim in 47.52 seconds. If nathan swam the same pace in a regular 25-meter pool what would his time have been per lap?
At the same rate as his 100-meter freestyle swim in the 2012 Olympics, Nathan Adrian could have completed one loop of a 25-meter pool in 11.88 seconds.
To solve this problem
The idea of proportionality can be applied. The time it would take Nathan Adrian to complete one lap in a 25-meter pool is known to be 47.52 seconds for the 100-meter freestyle. Since the tempo is constant while the distance varies, we can establish a ratio:
100 meters / 47.52 seconds = 25 meters / x seconds
where x is the unknown time for one lap in the 25-meter pool.
To solve for x, we can cross-multiply:
100 meters * x seconds = 47.52 seconds * 25 meters
100x = 1188
Dividing both sides by 100, we get:
x = 11.88 seconds
Therefore, at the same rate as his 100-meter freestyle swim in the 2012 Olympics, Nathan Adrian could have completed one loop of a 25-meter pool in 11.88 seconds.
Learn more about idea of proportionality here : brainly.com/question/870035
#SPJ1
Are 9.91 and 9.0 equivalent decimals?
Answer:
no
Step-by-step explanation:
there is a difference between these two integers as 9.91 is 0.01 more then 9.0,
they are therefor not equivalent
70 points!!!!!!!!!!
Rewrite y=2(1.06)9t in the form y=a(1+r)t or y=a(1−r)t to determine whether it represents exponential growth or exponential decay. Round a and r to the nearest hundredth if necessary.
The function is an exponential growth function
How to determine the type of the functionThe function is given as
y=2(1.06)^9
We can begin by rewriting the given equation as:
y = 2 * 1.06t
So, we have
y = 2 * (1 + 0.06)^t
Now we can see that the equation is in the form y = a*b^t,
where a = 2 and b = 1.06^9
This equation represents exponential growth because the base of the exponent, b = 1.06, is greater than 1.
We can re-write it in the form y = a(1+r)t,
we can find the value of r by subtracting 1 from 1.06 which is 0.06 and the value of a is 2.
so we have y = 2(1+0.06)^t
So, the equation represents exponential growth with a = 2 and r = 0.06
Read more about exponential growth at
https://brainly.com/question/2456547
#SPJ1
LEVEL A 1.a) Solve for x angle relationship x+3 2x-61
According to property of parallels line:
\(\angle1=\angle2\)so :
\(\begin{gathered} x+3=2x-61 \\ 2x-x=61+3 \\ x=64 \end{gathered}\)the value of x is 64.
ITS DO TODAY HELPPPPPPP
The difference in the addition of both fractions is that they have different lowest common multiples.
How to solve Fraction Problems?We want to add the fraction expression given as:
¹/₂ + ¹/₄
Taking the Lowest common multiple of 8, we have:
(4 + 2)/8 = 6/8
However, for the second fraction expression, we have:
¹/₂ + ¹/₃
Taking the lowest common multiple which is 6, we have:
(3 + 2)/6 = 5/6
Read more about Fraction Problems at: https://brainly.com/question/24132459
#SPJ1
Use the coordinate grid to determine the coordinates of point A:
Coordinate grid shown from negative 2 to positive 2 on x axis and negative 2 to positive 2 on y axis. There are increments of 1 over 4 for each grid line on each of the two axes. Only the whole numbers are labeled on either side of the axis. A point A is shown at the intersection of the first grid line to the left of the y-axis and 7 grid lines above the x-axis. What are the coordinates of point A?
A ( fraction negative 1 over 4 , fraction 1 and 3 over 4 )
( B fraction negative 1 and 3 over 4 , fraction 1 over 4' )
C( fraction 1 over 4 , fraction negative 1 and 3 over 4 )
D ( fraction 1 and 3 over 4 , fraction negative 1 over 4 )
Answer:
Step-by-step explanation:it cant be A or B because its not negative so it has to be C or D and its not D because its not in the 3s its in the ones still it did not evean have a 3.
so the best answer i whould have to say C
plz give brainlynis
Answer:
This is the correction of the other person who answered the answer is D
Step-by-step explanation:
If a volcano is 15.338 miles how much would that equal in feet, round to the nearest tenth
Answer:
the answer will be it's 80984.64
What is the slope of line segment EF?
Answer: its not 3/2 i am in k 12 and i have the same one i did that answer but its not correct im still figuring out the answer when i get it i will tell you
Step-by-step explanation: i sound like a karen lol
Find the height of the tree below to the nearest foot.
Please help I need this will give 100 points please help
The solution to the inequality f(x²-2) < f(7x-8) over D₁ = (-∞, 2) is:
-∞ < x < 1 or 1 < x < 6 or 6 < x < 2
Solving Inequality in a given domainGiven the inequality,
f(x²-2) < f(7x-8) over D₁ = (-∞, 2)
We need to find the values of x that satisfy this inequality.
Since we know that f is increasing over its domain, we can compare the values inside the function to determine the values of x that satisfy the inequality.
First, we can find the values of x that make the expressions inside the function equal:
x² - 2 = 7x - 8
Simplifying, we get:
x² - 7x + 6 = 0
Factoring, we get:
(x - 6)(x - 1) = 0
So the values of x that make the expressions inside the function equal are x = 6 and x = 1.
We can use these values to divide the domain (-∞, 2) into three intervals:
-∞ < x < 1, 1 < x < 6, and 6 < x < 2.
We can choose a test point in each interval and evaluate
f(x² - 2) and f(7x - 8) at that point. If f(x² - 2) < f(7x - 8) for that test point, then the inequality holds for that interval. Otherwise, it does not.
Let's choose -1, 3, and 7 as our test points.
When x = -1, we have:
f((-1)² - 2) = f(-1) < f(7(-1) - 8) = f(-15)
Since f is increasing, we know that f(-1) < f(-15), so the inequality holds for -∞ < x < 1.
When x = 3, we have:
f((3)² - 2) = f(7) < f(7(3) - 8) = f(13)
Since f is increasing, we know that f(7) < f(13), so the inequality holds for 1 < x < 6.
When x = 7, we have:
f((7)² - 2) = f(47) < f(7(7) - 8) = f(41)
Since f is increasing, we know that f(47) < f(41), so the inequality holds for 6 < x < 2.
Therefore, the solution to the inequality f(x²-2) < f(7x-8) over D₁ = (-∞, 2) is:
-∞ < x < 1 or 1 < x < 6 or 6 < x < 2
Learn more about inequality here:
https://brainly.com/question/25944814
#SPJ1
WILL MARK BRAINLY!
Which inequality is true?
1-100 < 50
--50 100
1-100 > 50
4-50 > -100
the third one, you have written not clearly
bwhwhsbsh hsbsvs bw wjw wjw whe
Use a t-distribution to answer this question. Assume the samples are random samples from distributions that are reasonably normally distributed, and that a t-statistic will be used for inference about the difference in sample means. State the degrees of freedom used.
Find the endpoints of the t-distribution with 2.5% beyond them in each tail if the samples have sizes n1=16 and n2=21.
Enter the exact answer for the degrees of freedom and round your answer for the endpoints to two decimal places.
Answer:
Don't go on that link its a virus
Step-by-step explanation:
Suppose that the function g is defined, for all real numbers, as follows. Find g(-5) ,g (-2), and g(-1)
If the function g(x) is defined for all real-numbers, then the value of g(-5) is 7/2, g(-2) is -1 and g(-1) is 0.
A piecewise function is a function that is defined by different rules or formulas on different parts of its domain. The piecewise function "g(x)" is given as :
g(x) = {-(1/2)x + 1, for x<-2
= {-(x+1)², for -2≤x≤1
= {4 for x>1
We have to find the value of g(-5) ,g (-2), and g(-1),
For x = -5, the number -5 is less than -2, so the first function "-(1/2)x + 1" will be used,
⇒ g(-5) = -(1/2)(-5) + 1 = 5/2 + 1 = 7/2,
For x = -2, the number -2 lies in the interval "-2≤x≤1", so second function
"-(x+1)²" will be used,
⇒ g(-2) = -(x+1)² = -(-2+1)² = -(-1)² = -1,
For x = -1, the number -1 lies inn the interval "-2≤x≤1", so second function "-(x+1)²" will be used,
⇒ g(-1) = -(x+1)² = -(-1+1)² = -(0)² = 0,
Learn more about Function here
https://brainly.com/question/17602515
#SPJ1
Hunter buys 36 baseball cards for $18. How many baseball cards can Troy buy if
he has $9?
3
18 baseball cards
4 baseball cards
24 baseball cards
16 baseball cards
Answer:
ok so 36/18=2 so 2 dollars so we have to see how many times 2 goes into 9
9/2=4.5
since u can't buy half a baseball card the answer is 4
B
Hope This Helps!!!