Answer:
The answer is 20
Step-by-step explanation:
(7-5)=2
2^4 = 16
16 + 4 = 20
Some biologists believe the evolution of handedness is linked to complex behaviors such as tool-use. Under this theory, handedness would be genetically passed on from parents to children. That is, left-handed parents would be more likely to have lefthanded children than right-handed parents. An alternate theory asserts that handedness should be random, with left- and right-handedness equally likely. In a recent study using a simple random sample of n  76 right-handed parents, 50 of the children born were right-handed. ( pˆ =0.658 .) Suppose handedness is a random occurrence with either hand equally likely to be dominant, implying that the probability of a right-handed offspring is p =0.50.
Required:
a. Show that it is reasonable to approximate the sampling distribution of p̂ using a normal distribution.
b. Assuming left- and right-handed children are equally likely from right-handed parents, what is the probability of observing a sample proportion of at least p̂ =0.658 ?
Answer:
a) Since both np >= 5 and n(1-p) >= 5, it is reasonable to approximate the sampling distribution of p^‚ using a normal distribution.
b) 0.5 = 50% probability of observing a sample proportion of at 0.658.
Step-by-step explanation:
a. Show that it is reasonable to approximate the sampling distribution of p̂ using a normal distribution.
We need that:
np >= 5
n(1-p) >= 5
Sample of 76, 50 of the children were born were right-handed.
So [tex]n = 76, p = \frac{50}{76} = 0.658[/tex]
np = 76*0.658 >= 5
n(1-p) = 76*0.342 >= 5
Since both np >= 5 and n(1-p) >= 5, it is reasonable to approximate the sampling distribution of p^‚ using a normal distribution.
b. Assuming left- and right-handed children are equally likely from right-handed parents, what is the probability of observing a sample proportion of at least p̂ =0.658 ?
This is the mean, so 50% below and 50% above.
0.5 = 50% probability of observing a sample proportion of at 0.658.
Round to the nearest percent
Fourteen soccer players want to share nine protein bars after the game. What
fraction of a protein bar will each player get?
Answer:
9/14
Step-by-step explanation:
sorry if im wrong...
what fraction of 9 is 3
Answer:
1/3
Step-by-step explanation:
Take the part over the whole
3/9
We can simplify
Divide the top and bottom by 3
1/3
1/3
Step-by-step explanation:
3/9 is 1/3 because dividing both sides by 3 is 1/3
PLEASE HELP I NEED THIS
Answer:
See below.
Step-by-step explanation:
1) 3 congruent sides and 3 congruent angles: equilateral, equiangular, acute
2) 2 congruent sides and a right angle: right isosceles
3) 2 congruent sides and an obtuse angle: obtuse isosceles
4) 1 obtuse angle and all different lengths of sides: obtuse scalene
5) 1 right angle and all different side lengths: right scalene
6) 2 congruent sides, all acute angles: acute isosceles
7) x + 2 = 10
x = 8
8) 10x + 3 + 10x + 3 + 34 = 180
20x + 40 = 180
20x = 140
x = 7
How many terms are in the expression below?
17 – (5n = 4) + 8%
Answer: 4
Step-by-step explanation:
(Can someone please answer my math question)
what is the equation of the line that passes through the point (5, -6) and has a slope of -3/5?
Answer:
y=-3/5x-3
Step-by-step explanation:
(5,-6). y=mx+b or -6=-3/5 × 5+b, or solving for b: b=-6-(-3/5)(5). b=-3.
Which of the following is equal to this expression? (256⋅64)^1/4
Answer:8•4 √4
Step-by-step explanation:
An advertising agency notices that approximately 1 in 50 potential buyers of a product sees a given magazine ad, and 1 in 8 sees a corresponding ad on television. One in 100 sees both. One in 4 actually purchases the product after seeing the ad, 1 in 10 without seeing it. What is the probability that a randomly selected potential customer will purchase the product
Answer:
Probability = 0.12025
Step-by-step explanation:
P (Am) = 1/50 = 0.02 {Magazine ad}
P (At) = 1/8 = 0.125 {Television ad}
P (Am ∩ At ) = 1/100 = 0.01 {Both ads}
P (Am U At) = P (Am) + P (At) - P (Am ∩ At )
= 0.02 + 0.125 - 0.01
P (Am U At) = 0.135 {Person sees either ad}
P (Am' ∩ At') = 1 - P (Am U At)
P (Am' ∩ At') = 1 - 0.135 = 0.865 {Person sees none ad}
Prob (Purchase) = Prob (Purchase with ad) + Prob (purchase without ad)
P (P/ A) = 1/4 = 0.25 , P (P / A') = 1/10 = 0.1
P (P) = (0.25) (0.135) + (0.1) (0.865)
= 0.03375 + 0.0865
0.12025
Who ever gets this right gets branliest
Answer:
2 1/2
Step-by-step explanation:
Answer: 2 1/2
Step-by-step explanation: Its positive and lands between 2 and 3 halfway
five more than three times a number is six less than twice the number. find the number
Answer:
2
Step-by-step explanation:
6x-3=5+2x
-2x on both sides
4x-3=5
+3 on both sides
4x=8
divide 4 on both sides
x=2
Write the measure 29° 6'6" as a decimal to the nearest thousandth.
a. 29.1020
C. 29.485
b. 27.5949
d. 27.682°
Please select the best answer from the choices provided
Answer:
A. 29.1020
Step-by-step explanation:
Rewrite it:
29°6'6"
29° + 6(1/60)° + 6(1/3600)°
Simplify:
29° + 0.1° + 0.002°
= 29.102
So, the correct answer is A, 29.1020
What is the percent of change from 400 to 600
Answer:
I dont speak english so i dont know whats is your question
what is 4(z+6)=2965 I need the answer and how you did it
Answer:
z = 735.25
Step-by-step explanation:
Following steps explain :
[tex]\frac{4\left(z+6\right)}{4}=\frac{2965}{4}\\z+6=\frac{2965}{4}\\z+6-6=\frac{2965}{4}-6\\z=735.25z=\frac{2941}{4}[/tex]
Looks kinda sloppy, but I think you can see what I did :)
#SpreadTheLove <3
need help solving this
Answer:
For this question, subtract 5 on both sides to get [tex]\frac{m}{3}[/tex]=7. Then, multiply 3 on both sides to get m=21.
Answer:
M=21
Hope this helps, and happy valentines day :D
FIND THE EQUATION OF THE LINE FROM THE FOLLOWING GRAPH. please give steps
Answer:
I can't tell
Step-by-step explanation:
I'm on an ocps school laptop and i can't see the image
Answer:
D. x+2y=12
Step-by-step explanation:
From the graph we know that the y-intercept is 6. (0,6) and the x-intercept is 12. (12,0)
The graph is going down so the slope is negative, from (0,6) count down to (0,0) and count right 12 unit to reach the x-intercept(12,0) the slope is -6/12 or -1/2.
the equation of the line is y=-1/2+6 or x+2y=12
x+2y=12
2y=-x+12
y=-1/2x+6
16 divided by 25 as a decimal
Answer:
The answer of the question is 0.64
Answer:
0.64 is a decimal and 64/100 or 64% is the percentage for 16/25.
Step-by-step explanation:
It will take you to how you do it scan on phone
solve and receive brain list
Answer:
it is called COLD DRANK
Step-by-step explanation:
REAPEAT AFTER ME COLD DRANK OK C-O-L-D D-R-A-N-K
Answer:
Step-by-step explanation:
6x + 26 = 8x - 12 ( 1 - 3x )
6x + 26 = 8x - 12 + 36x
Doing like terms on one side,
6x -8x -36x = -12 -26
-38x = -38
x = -38 / -38
x = 1
Hope this helps you. Do vote my answer.
Thanks
The independent variable is represented by the symbol(s)
1. Y
2. xy
3. Both A and B
4. X
5. None of the above
Answer:
4
Step-by-step explanation:
because variable is independent
Berapakah volume bangun di atas?
Pake cara yya !
Answer:
Volume of the figure = 64 cm³
Step-by-step explanation:
Volume of the given figure = Volume of complete cuboid - volume of the cuboid having one face as ABCD
Volume of complete cuboid = Length × Width × Height
= 10 × 2 × 6
= 120 cm³
Volume of the part having one face as ABCD = AB × BF × BC
= 7 × 2 × (6 - 2)
= 56 cm³
Volume of the given figure in the picture = 120 - 56
= 64 cm³
Therefore, volume of the figure = 64 cm³
someone do this please help
1. Write the ratio below as a decimal (per one). Round your answer to the nearest hundredths place.
2 weeks to 46 days
2,Professor Ivy records the following scores on her final: 35, 48, 48, 52, 69, 72, 81, 88, 92. What is the median score for the final?
3. Professor Ivy’s students have the following scores on her Exam. Find the mean value, round to the tenths place.
76 88 67 88 91 69 45 92 52 38 98
Answer:
0.30 for answer 1
65% for answer 2
73.0% for answer 3
Hope it helps
△XYZ is similar to △XVW. Enter the congruence statements that must be true.
The congruence statements that must be true are
Answer:
angle X is congruent to angle X
angle Y is congruent to angle V
angle Z is congruent to angle W
Step-by-step explanation:
Ayuden con la ecuación
[tex] \times + 15 = 51[/tex]
Help me, please............
Answer:
67%
350/ 210 -1 = .67 x 100%
Answer:
67%
Step-by-step explanation:
21/35
Enter
31/100 as a money amount and as a decimal in terms of dollars.
Answer:
It would be .31 cents, I believe
Step-by-step explanation:
Just divide 31 by 100 and you'll get your answer.
:)
Select the correct answer.
What is the complete factorization of x2 + 2x - 63?
A. (x+ 21)(x-3)
B.
(x-9)(x+7)
C.
(x + 9)(x-7)
D.
(x-21)(x + 3)
Reset
Answer:
the answer of this question is
c
According to monetary theory, which of the following is the main driver in changing economic activity?
A. Exchange rate
B. Money supply
C. Taxes
D. Employment rate
Answer:
B
Step-by-step explanation:
money supply because this has to balanced out in turn will determine any change in the economic activity.
Sally is flying a kite at an angle of 41 degrees. If the kite is 10 feet up in the air, how
long is the kite string?
Answer:
15.24feet
Step-by-step explanation:
Using the method of SOH CAH TOA;
Length of the kite is the hypotenuse = x
If the kite is 10 feet up in the air, then the height = 10feet (opposite)
Angle of elevation = 41 degrees
Sin theta = Opposite/hypotenuse
Sin 41 = 10/x
x = 10/sin41
x = 10/0.6561
x = 15.24 feet
Hence the kite is 15.24feet long
Problem: A federal agency is deciding which of two waste dump projects to investigate. A top administrator estimates that the probability of federal law violations is 0.30 at the first project and 0.25 at the second project. Also, he believes the occurrences of violations in these two projects are mutually exclusive (that is, the events are disjoint).
a). find the probability of federal law violations in the first project or the second project.
b). given that there is not a federal law violation in the first project, find the probability that there is a federal law violation in the second project.
c). In reality, the administrator confused mutually exclusive and independent, and the events are actually independent. Answer (a) and (b) with this correct information.
Answer:
Following are the solution to the given points:
Step-by-step explanation:
For point (a) :
In this, two points are exclusive to one another, it is a probability that first or the second project will have breaches,
[tex]\to P = P(A) + P(B)[/tex]
[tex]= 0.3 + 0.25\\\\= 0.55[/tex]
Since the p(A & B)=0 is mutually exclusive.
For point (b):
[tex]\to P = ( \frac{1 -p(A)) \times P(B)}{((1-P(A)) \times P(B) + P(A&B)}) \\\\[/tex]
[tex]= \frac{(1 -0.3)\times 0.25}{(1-0.3)*0.25 + 0} \\\\ = 1[/tex]
For point (c):
if both a and b are independent:
(a):
[tex]P = P(A) + P(B) - P(A)\times P(B) \\\\[/tex]
[tex]= 0.3 + 0.25 - 0.3 \times 0.25\\\\ = 0.475[/tex]
(b):
[tex]P = \frac{(1 -p(A)) \times P(B)}{((1-P(A)) \timesP(B) + P(A&B))} \\\\[/tex]
[tex]= \frac{(1 - 0.3)\times 0.25}{((1-0.3)\times0.25 + 0.3\times0.25)}\\\\ = 0.7[/tex]
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
Step-by-step explanation:
(1, -16) (2, -7)
(-7 + 16)/(2 - 1) = 9/1= 9
y + 16 = 9(x - 1)
y + 16 = 9x - 9
y = 9x - 25
