It has been claimed that, for a penny minted in 1999 or earlier, the probability of observing heads upon spinning the penny is p = 0.3. Three students got together, and they would each spin a penny and record the number X of heads out of the three spins. They repeated this experiment 200 times, observing 0, 1, 2, and 3 heads 57, 95, 38, and 10 times, respectively. Use these data to test the hypotheses that X is b(3, 0.3) that is binomial with n = 3 and p = 0.3 using
Answers
Answer:
accept Null hypothesis at ∝ = 0.05
Step-by-step explanation:
To test the hypothesis that: X is b( 3, 0.3 ) ( Null hypothesis )
Let X = number of heads out of three spins
In three spins there were 4 outcomes
Ao = 0 , A1 = 1 , A2 = 2 , A2 = 3 { 0,1,2,3 } outcomes in three spins
next: lets determine the probability of each result
attached below is the detailed solution
H0 : pi = pio
where i = 0,1,2,3
Related Questions
A small cake is cut into 4 equal pieces. What fraction represents the entire cake? Explain.
Answers
Answer:
4/4 ?
Step-by-step explanation:
Answer:
4/4
Step-by-step explanation:
Since there are four pieces and none of them is eaten or taken we just do the number of total of pieces as the denominator and the number of pieces taken away on the numerator, since there wasn't any taken away we put it as 4 because there are 4 pieces still there of cake.
What is (+12) – (-8)?
Answers
Answer:
+12+8＝+20
Step-by-step explanation:
Hope it helps you!
Answer:
[tex]{\huge\red{\fbox{{࿐αɴѕωєя࿐}}}}[/tex]
[tex]( + 12) - ( - 8) \\ = 12 + 8 \\ = + 20[/tex]
[tex]{\boxed{\boxed{\tt { Note :-}}}} \ [/tex]
[tex] - + - = + [/tex]
Solve the inequality. graph the solution given below
2 < -y/5
Answers
Answer: Inequality Form: y<-10 or Interval Notation: (-∞,-10)
Answer:
y<-10
Step-by-step explanation:
to remove the fraction then set to 0 and solve
A triangle has these coordinates:
Point A: (-8,-3)
Point B: (8,7)
Point C: (8,-3)
What is the length of side AC?
Answers
Answer:
16
Step-by-step explanation:
From Point A use -8 subtracted by Point C 8 and get
16. It is positive because the length of side can't be negative.
square root 30 times square root 10
Answers
Answer:
10[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Each year the admissions committee at a top business school receives a large number of applications for admission to the MBA program and they have to decide on the number of offers to make. Since some of the admitted students may decide to pursue other opportunities, the committee typically admits more students than the ideal class size of 720 students. You were asked to help the admission committee estimate the appropriate number of people who should be offered admission. It is estimated that in the coming year the number of people who will not accept the admission is normally distributed with mean 50 and standard deviation 21. Suppose for now that the school does not maintain a waiting list, that is, all students arc accepted or rejected. a. Suppose 750 students are admitted. What is the probability that the class size will be at least 720 students'
Answers
Answer:
0.1711 = 17.11% probability that the class size will be at least 720 students
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.
In this question:
Our random variable X is the number of students not taking admission, which has mean [tex]\mu = 50[/tex] and standard deviation [tex]\sigma = 21[/tex]
a. Suppose 750 students are admitted. What is the probability that the class size will be at least 720 students?
30 or less students do not take admission, which means that this is the pvalue of Z when X = 30.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{30 - 50}{21}[/tex]
[tex]Z = -0.95[/tex]
[tex]Z = -0.95[/tex] has a pvalue of -0.1711
0.1711 = 17.11% probability that the class size will be at least 720 students
A box of cereal has a volume of 144in^ 3 . The height of the cereal box is 12 inches , and the depth is 2 inches. What is the width of the cereal box?
Answers
Answer:
6 inches
Step-by-step explanation:
Plug the known values into the equation for volume ([tex]V=lwh[/tex]) and solve for width.
Answer:
The numerical answer you want is 6
Step-by-step explanation:
V = L * W * H
H = 12
L = 2
V = 144
w = ?
Solution
144 = 2 * 12 * w
144 = 24 * w
w = 144/12
w = 6
plz solve it CORRECTLY step by step
Answers
Answer:
[tex]\dfrac{6}{10}ab[/tex]
Step-by-step explanation:
Given that,
The first number is [tex]\dfrac{-3a}{7}[/tex]
The second number is [tex]\dfrac{-21b}{15}[/tex]
We need to find the product of the first number and second number. Product means we need to multiply i.e.
[tex]\dfrac{-3a}{7}\times \dfrac{-21b}{15}=0.6ab\\\\=\dfrac{6}{10}ab[/tex]
Hence, the product of the given numbers is equal to [tex]\dfrac{6}{10}ab[/tex].
Find f(3) for f(x)=1/2(4)^x.
O A. 32
O B. 64
O c. 6
6
O D. 8
Answers
Answer:
A) 32
Step-by-step explanation:
f(3)=1/2(4)^(3)
PLEAASE help asap plzz <3 the question is in the file/attachment :) its 60 points <3
Answers
Answer:
Step-by-step explanation:
y=1/2x+1
y=mx+b where m=slope and b=y-intercept
in this case, m=1/2, b=1
y-intercept: (0, 1)
---------------------------------
y=-x+4
y=mx+b where m=slope and b=y-intercept
in this case, m=-1, b=4
y-intercept: (0, 4)
------------------------------------
1/2x+1=-x+4
1/2x-(-x)+1=4
1/2x+x=4-1
1/2x+2/2x=3
3/2x=3
x=3/(3/2)
x=(3/1)(2/3)
x=6/3
x=2
substitute x=2, into y=1/2x+1
y=1/2(2)+1=1+1=2
x=2, y=2.
The lines intersect at point (2, 2).
answer:
Y=1/2x+1 M=1/2 and B=1 Y internsept is 1
Y=-x+4 M=-1 and B=4 Y-internsept is 4
Lines will internsept at (2,2)
ILL GIVE BRAINLEST, find the value of x
Answers
Answer: 116
Step-by-step explanation:
Helpppp Meeeee Plzzz
Answers
h=3 cause 3x30=90 ig loo
The graph of -4x +3y-5= 0 passes through two points, A(2a, -1) and B(4,b). What is the value of a-b?
Answers
Answer:
-8
Step-by-step explanation:
The steps are in the photo I attatched
What is the value of b on the number line below?
Answers
In the equation 2r - 7 = 15, what value of r makes this equation true?
Answers
Answer:
11
Step-by-step explanation:
2r - 7 = 15
2r = 15 + 7
2r = 22
r = 22 / 2
r = 11
QUESTION 4 · 1 POINT
The roof pictured below has a rise of 10 feet and a run of 15 feet.
Run= 15 feet
Rise = 10 feet
What is its slope?
Answers
Question 6
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Find the equation of the line through the points (-4,6) and (1,-9). Write your answer in the form
y = mx + b.
Answers
Answer:
m=Y2–Y1/X2–X1
[tex]m = \frac{ - 9 - (6)}{1 - ( - 4)} \\ m = \frac{ - 15}{5} = - 3 \\ y = mx + b \\ y = - 3x + b[/tex]
Answer: y = -5x - 14
Step-by-step explanation:
first find the difference between the x variables x1 = 1 and x2=-4 to find the slope(m)
-4 - 1 = -5
next find the difference between the y variables to find b
-9 - 6 = -14
find the volume of each rectangular prism 10in, 24in, & 4.5in
Answers
9514 1404 393
Answer:
1080 in³
Step-by-step explanation:
The volume of a rectangular prism is given by the formula ...
V = LWH
Fill in the given numbers and do the arithmetic.
V = (10 in)(24 in)(4.5 in) = 1080 in³
I don’t get it. Can someone explain this to me?
Answers
Answer:
18.285 in.²
Step-by-step explanation:
3 in. × 4 in. = 12 in.²
A = πr²
A = 12.57 in.²
12.57 in.² ÷ 2 = 6.285 in.²
6.285 in.² + 12 in.²
18.285 in.²
solve for x what is the answer?
Answers
Answer:
x=12
Step-by-step explanation:
The side lengths on the big polygon are just the side lengths of the small one by 4.
Given OG = 16 and PE =9, what is the length of GE?
Answers
Answer:
Option (2)
Step-by-step explanation:
From the picture attached,
Length of OG = 16
Length of PE = 9
Let us draw a perpendicular AE to OG which intersects at A.
Length of AG = OG - PE
= 16 - 9
= 7
Length of AE = OP
= OT + TP
= OG + PE [Since, OT = OG and TP = PE, radii of the circles]
= 16 + 9
= 25
By applying Pythagoras theorem in ΔGAE,
GE² = AG² + AE²
GE² = 7² + 25²
GE = √674
GE = 25.96
≈ 26
Option (2) will be the correct option.
I need help with this ASAP please help
Answers
Problem 7
Answer: 60-----------------------
Explanation:
Let's say we only worried about the colors and the sizes. We have 3 colors and 4 sizes, giving 3*4 = 12 different combos. Think of a table that's 3 rows and 4 columns. We'd have 12 inner cells. Each cell represents a different combo.
This idea extends out to not just two factors, but we can have as many as we want. In short, we simply multiply the values given to us: 3*4*5 = 12*5 = 60 different t-shirts. Your math textbook or your teacher may refer to this method as the counting principle, though they may use another term.
========================================================
Problem 8
Answer: 224-----------------------
Explanation:
We use the same idea as problem 7.
4*7*8 = 28*8 = 224 different coats
As an alternative, you can draw out a tree diagram. However, these types of drawings can get very cluttered.
========================================================
Problem 9
Answer: 5040-----------------------
Explanation:
We'll use the same idea as before.
We have 10 choices for the first slot (0 through 9)
Once the first digit is selected, then we have 10-1 = 9 choices left for slot two
Then slot three has 9-1 = 8 choices, and so on.
We have this countdown: 10, 9, 8, 7
The countdown stops once we filled out the four slots. Multiply these values to get the final answer: 10*9*8*7 = 5040. The multiplication step is where we refer to the ideas mentioned in problems 7 and 8 earlier.
Keep in mind that this allows for 0 to be in the first slot. So a number like "0179" is one possibility here. If 0 is not allowed for the first digit, then you'll compute the answer like so:
9*9*8*7 = 4536
This is because we have 9 choices for the first digit, then 9 for the next, and so on. I would ask your teacher for clarification on this one.
One urn contains one blue ball (labeled B1) and three red balls (labeled R1, R2, and R3). A second urn contains two red balls (R4 and R5) and two blue balls (B2 and B3). An experiment is performed in which one of the two urns is chosen at random and then two balls are randomly chosen from it, one after the other without replacement. a. Construct the possibility tree showing all possible outcomes of this experiment. b. What is the total number of outcomes of this experiment
Answers
Answer:
(a) See attachment for tree diagram
(b) 24 possible outcomes
Step-by-step explanation:
Given
[tex]Urn\ 1 = \{B_1, R_1, R_2, R_3\}[/tex]
[tex]Urn\ 2 = \{R_4, R_5, B_2, B_3\}[/tex]
Solving (a): A possibility tree
If urn 1 is selected, the following selection exists:
[tex]B_1 \to [R_1, R_2, R_3]; R_1 \to [B_1, R_2, R_3]; R_2 \to [B_1, R_1, R_3]; R_3 \to [B_1, R_1, R_2][/tex]
If urn 2 is selected, the following selection exists:
[tex]B_2 \to [B_3, R_4, R_5]; B_3 \to [B_2, R_4, R_5]; R_4 \to [B_2, B_3, R_5]; R_5 \to [B_2, B_3, R_4][/tex]
See attachment for possibility tree
Solving (b): The total number of outcome
For urn 1
There are 4 balls in urn 1
[tex]n = \{B_1,R_1,R_2,R_3\}[/tex]
Each of the balls has 3 subsets. i.e.
[tex]B_1 \to [R_1, R_2, R_3]; R_1 \to [B_1, R_2, R_3]; R_2 \to [B_1, R_1, R_3]; R_3 \to [B_1, R_1, R_2][/tex]
So, the selection is:
[tex]Urn\ 1 = 4 * 3[/tex]
[tex]Urn\ 1 = 12[/tex]
For urn 2
There are 4 balls in urn 2
[tex]n = \{B_2,B_3,R_4,R_5\}[/tex]
Each of the balls has 3 subsets. i.e.
[tex]B_2 \to [B_3, R_4, R_5]; B_3 \to [B_2, R_4, R_5]; R_4 \to [B_2, B_3, R_5]; R_5 \to [B_2, B_3, R_4][/tex]
So, the selection is:
[tex]Urn\ 2 = 4 * 3[/tex]
[tex]Urn\ 2 = 12[/tex]
Total number of outcomes is:
[tex]Total = Urn\ 1 + Urn\ 2[/tex]
[tex]Total = 12 + 12[/tex]
[tex]Total = 24[/tex]
if a number is added to it's square, the result is six. Find the number
Answers
Answer:
is the number 2?
Step-by-step explanation:
Answer:
The number could be
1 1/2 or -2
explanation:
From the data, taking the number to be x, we write:
2x^2 + x =6
Subtract 6 from both sides.
2x^2 + x - 6 = 0
Factorise.
2x^2 + 4x - 3x - 6 = 0
2x(x + 2) - 3(x + 2) = 0
(2x - 3)(x + 2) = 0
2x - 3 = 0 or x +2 = -2
x = 3/2 = 1 1/2 or x = -2
nicole is flying two kites. she has 104 feet of string out to one kite and 110 feet out to the other kite. the angle formed by the two strings is 26 as shown in the figure below. find the distance between the kites.
Answers
Answer:
48.49 feet
Step-by-step explanation:
The diagrammatic sketch of the information provided in the question was attached in the image below.
From the image below, the distance between the two kites is denoted by (c) and can be determined by using the cosine angle rule which is expressed as:
[tex]c^2 = a^2 + b^2 -2ab cos \ C[/tex]
where;
a = 110
b = 104
Cos C = 26°
Then;
[tex]c^2 = 110^2 + 104^2 -2(110)(104) cos \ 26 \\ \\ c^2 = 12100 + 10816- 22880 ( 0.8988) \\ \\ c^2 = 22916- 20564.544 \\ \\ c^2 = 2351.456 \\ \\ c= \sqrt{2351.456} \\ \\ \mathbf{ c = 48.49 \ feet}[/tex]
The force F (in pounds) needed on a wrench handle to loosen a certain bolt varies inversely with the length L (in inches) of the handle. A force of 30 pounds is needed when the handle is 4 inches long. If a person needs 25 pounds of force to loosen the bolt, estimate the length of the wrench handle. Round answer to two decimal places if necessary.
____ inches
Answers
Step-by-step explanation:
See the photo for the method
There _____________ with angle measures of 30°, 70°, and 80°
.A.is no triangle
B.is exactly 1 triangle
C.are exactly 2 triangles
D.are more than 2 triangles
need correct answer and no link then i will give you brainiest and b is wrong just saying..
Answers
Answer:
more than 2 triangles
Step-by-step explanation:
well, all triangles have angles add up to 180 degrees, so it is an infinite amount
Please help meeeeeeeeeee
Answers
Answer:
x=72
y=54
Step-by-step explanation:
1st question. y=54 because it is a bisector of the 108 degree angles. (a polygon's interior angles add to number of sides minus 2 times 180)
There are two ys, so they add up to 108. A triangle's interior angles add to 180. 180-108 =72 x=72
2nd question, x is 72 ( it says x is the same measure) so 180-72=2y.
y still equals 54
Answer:
this is so easy
Step-by-step explanation:
3000* (15) (300) divided by 20 x 60 100ft divided by 40
In the figure below, the areas of rectangles A, B, and C are 12, 24, and 40, respectively. Find the area of rectangle D.
Answers
Answer:
In the figure below, the areas of rectangles A, B, and C are 12, 24, and 40, respectively. Find the area of rectangle D.
Step-by-step explanation:
here is the picture:
Two angles of a triangle measure 65 and 85. What is the measure of the third angle of the triangle?
Answers
Step-by-step explanation:
30.......reason(sum of angles in a triangle)
Answer:
30 degrees
Step-by-step explanation:
Since the angles of a triangle are supposed to add up to 180 in total, we can add 65 and 85 together and subtract the answer from 180. This will lead us to our answer.
1) 65 + 85 = 150
2) 180 - 150 = 30
So the answer is 30 degrees, feel free to comment if you need more clarification.