Answer:
a
[tex]P(X = 5) = 0.2423 [/tex]
b
[tex]P( X \ge 6 )= 0.4516 [/tex]
c
[tex]P( X < 4 )= 0.12694[/tex]
Step-by-step explanation:
From the question we are told that
The population proportion is p = 0.53
The sample size is n = 10
Generally the distribution of the confidence of US adults in newspapers follows a binomial distribution
i.e
[tex]X \~ \ \ \ B(n , p)[/tex]
and the probability distribution function for binomial distribution is
[tex]P(X = x) = ^{n}C_x * p^x * (1- p)^{n-x}[/tex]
Here C stands for combination hence we are going to be making use of the combination function in our calculators
Generally the probability that the number of U.S. adults who have very little confidence in newspapers is exactly five is mathematically represented as
[tex]P(X = 5) = ^{10}C_5 * 0.53^5 * (1- 0.53)^{10-5}[/tex]
=> [tex]P(X = 5) = 252 * 0.04182 * 0.023[/tex]
=> [tex]P(X = 5) = 0.2423 [/tex]
Generally the probability that the number of U.S. adults who have very little confidence in newspapers is at least six is mathematically represented as
[tex]P( X \ge 6 )= P( X = 6) + P( X = 7) + P( X = 8) + P( X = 9) + P( X = 10)[/tex]
=> [tex]P( X \ge 6 )= [^{10}C_6 * [0.53]^6 * (1- 0.53)^{10-6}] + [^{10}C_7 * [0.53]^7 * (1- 0.53)^{10-7}] + [^{10}C_8 * [0.53]^8 * (1- 0.53)^{10-8}] + [^{10}C_9 * [0.53]^9 * (1- 0.53)^{10-9}] + [^{10}C_{10} * [0.53]^{10} * (1- 0.53)^{10-10}][/tex]
=> [tex]P( X \ge 6 )= [0.227] + [0.1464] + [0.0619] + [0.0155] + [0.00082][/tex]
=> [tex]P( X \ge 6 )= 0.4516 [/tex]
Generally the probability that the number of U.S. adults who have very little confidence in newspapers is less than four is mathematically represented as
[tex]P( X < 4 )= P( X = 3) + P( X = 2) + P( X = 1) + P( X = 0)[/tex]
=> [tex]P( X < 4 )= [^{10}C_3 * 0.53^3 * (1- 0.53)^{10-3}] + [^{10}C_2 * 0.53^2 * (1- 0.53)^{10-2}] + [^{10}C_1 * 0.53^1 * (1- 0.53)^{10-1}] + [^{10}C_0 * 0.53^0 * (1- 0.53)^{10-0}] [/tex]
=> [tex]P( X < 4 )= 0.09051 + 0.03 + 0.0059 + 0.000526[/tex]
=> [tex]P( X < 4 )= 0.12694[/tex]
ASSIGNMENT MATHS 6). À train which is moving with a uniform acrelaation is observed to take 20 and 30 seconds to travel successive 400m. How much further will it travel before coming to rest if acceleration remains uniform
Answer:
12000
Step-by-step explanation:
which expression is equivalent to 4(3+5)-3·9²
i think that the answer is d. this must have 20 characters
Answer:
D
Step-by-step explanation:
Could anyone help me find the missing value of W,X,Z, and Y ?
Answer:
x= 50°
w= 130°
y°= 110°
z°=30°
Step-by-step explanation:
x°= 180° - 60°- 70° ( angle sum of triangle)
= 50°
w°= 180° - 50° ( adjacent angles on a straight line)
= 130°
y°= 180° - 70° ( adjacent angles on a straight line)
= 110°
z°= 180 - 40° - 110° ( angle sum of triangle)
= 30°
Booker owns 85 video games. He has 3 shelves to put the games on. Each shelve can hold 40 video games. How many more video games does he have room for?
Answer:
A
Step-by-step explanation:
i just dd t
Answer:
35 more Video Games
Step-by-step explanation:
He has 3 shelves that can hold 40 video games. So thats 3 x 40 = 120. The number 120 represents the total amount of video games that he can hold. But he already has 85. So subtract 85 from 120. Thats 120 - 85 = 35. He still has room for 35 video games. Hope this helps !!
help me I'm desperate I'm begging you please I'm about to break down help
Give the slope between the points
(-4,1) (-13,-1)
Answer:1/2
Step-by-step explanation: So slope is rise/run. -4 to -13 is -9 and 1 to -1 is -2. so rise over run is -2/-4 which is 1/2.
Answer it pleaseee!!!
Answer:
.
Step-by-step explanation:
.
The range of the relation {(1,2),(1,3), (2,2)} is
Answer:
12
Step-by-step explanation:
Find the differnce
-c + 2 - 2+ c
Answer:
0
Step-by-step explanation:
Let's start by subtracting.
-c + 2-2 + c
We end up with..
-c + c
Now, let's combine like terms.
-c + c = -1c + 1c =
0
Hope this helped! :)
if 1/8=1/63+1/q what is the value of q
Answer:
9.1636
Step-by-step explanation:
1/8=1/63+1/q
1/8-1/63=1/q
63-8/504=1/q
55/504=1/q
55q=504
q=504/55
q=9.1636
So the answer is 9.1636
What is the -2.25 -5.5 -4 show your work
Answer:
-2.25 - 5.5 - 4
-7.75 - 4
-11.75
Step-by-step explanation:
When graphing a linear inequality, when can you NOT use (0, 0) as a test point to determine which side of a boundary line to shade?
9514 1404 393
Answer:
when (0, 0) is on the boundary line
Step-by-step explanation:
Any test point you use to determine shading must not lie on the boundary line. You need a test point that will make the inequality true or false. That is, it must give a result a > b or a ≥ b, where a ≠ b. A point on the boundary line will give a = b, so is not helpful.
If the test point gives "true", then it lies in the shaded area. If it gives "false," then the other side of the line is shaded.
(0, 0) cannot be used as a test point when it lies on the boundary line.
A segment has a length of 18 inches it has been rotated de degrees around a center O. What is the length of the rotated segment
Answer: Wouldn't it still be 18 since it was just rotated and not dilated.
Answer:18in
Step-by-step explanation:
it will still be 18in because it rotated de degrees around
Sarah visits an amusement park with an admissions cost of $24. Each ride costs $3. She does not buy any food or drink while she is there. If y represents the total she spends at the park and she takes x rides, which of the following is a function that represents her total spending?
A. y=24x+3
B. x+y=27
C. y=3x+24
D. y=27x
Answer:
Option C. y=3x+24 is the correct answer
Step-by-step explanation:
Using the given information,
Number of rides = x
Total cost = y
Admission cost = $24
The admission cost is a one-time cost that will remain constant while each ride costs 3 dollar so for x rides the cost will be 3x.
The total cost, if she buys no food or drink will be: 24+3x
Now we know that total cost is equal to y then
y = 24+3x
OR
y = 3x+24
Hence,
Option C. y=3x+24 is the correct answer
Diego measured the length of a pen to be 22 cm. The actual length of the pen is 23 cm.
Answer:
ok but whats the question
Step-by-step explanation:
Answer: Whats the question lol?
Step-by-step explanation:
Find the sum 3 1/3 and 3 2/5
solve the system by elimination. need work to be shown
Answer:
x=1, y=1, z=0
Step-by-step explanation:
System of Equations
We are required to solve the system of equations by elimination:
[tex]\left\{\begin{matrix}-2x+2y+3z=0\qquad [1]\\-2x-y+z=-3 \qquad [2]\\2x+3y+3z=5 \qquad [3]\end{matrix}\right[/tex]
Adding [1] and [3], and subtracting [1] and [2]:
[tex]\left\{\begin{matrix}5y+6z=5\qquad [4]\\3y+2z=3\qquad [5] \end{matrix}\right.[/tex]
Multiplying [5] by -3 and adding to [4]:
[tex]-4y=-4[/tex]
Solving:
[tex]y = -4 / (-4) = 1[/tex]
[tex]y=1[/tex]
Substituting into [5]:
[tex]5(1)+6z=5[/tex]
Simplifying:
[tex]6z = 0[/tex]
z=0
Substituting into [3]
[tex]2x+3(1)+3(0)=5[/tex]
Operating:
[tex]2x+3=5[/tex]
[tex]2x = 2[/tex]
[tex]x = 2/2=1[/tex]
x=1
The solution is
x=1, y=1, z=0
Which triangle is a translation of the orange triangle?
Answer:
5,6 meaning the answer is 4
Step-by-step explanation:
300x + 300 x plus StartFraction 500 over 7 EndFraction left-parenthesis 87.5 right-parenthesis equals 10,000.y = 10000
Answer:
x = 12.5
Step-by-step explanation:
The correct question can be found in the attachment
300x + 500/7y = 10,000
Find x if y = 87.5
Substitute y = 87.5 into the equation
300x + 500/7(87.5) = 10,000
300x + 43,750/7 = 10,000
300x + 6,250 = 10,000
Subtract 6,250 from both sides
300x + 6,250 - 6,250 = 10,000 - 6,250
300x = 3,750
Divide both sides by 300
x = 3,750/300
= 12.5
x = 12.5 when y = 87.5
he parking garage of a mall is underground. Dr. Taylor parks her car 2 floors below ground level. She plans to walk to the 3rd floor of the mall from her car. How many floors will she travel from her car to the 3rd floor?
Answer:
she will travel 5 floors from her car to the 3rd floor.
Find the length of the third side of the right angle
Answer:
54
Step-by-step explanation:
What is the slope of the line?
-2
1/2
1
2
Faith spent $78 at Fashion Warehouse. She bought 2 shirts that each cost $17.50 and a pair of shoes. How much did she spend for shoes?
Answers Choices
A. 34.00
B. 60.50
C. 43.00
D. 113.00
Answer:
C. 43.00
Step-by-step explanation:
If we add up the amount she paid for shirts we would get 35, then we subtract 78 by 35 to get our answer.
A coffee distributor plans to mix some Rift Valley coffee that normally sells for $12.10 per pound with some Mexican Shade Grown coffee that normally sells for $13.10 per pound to create 50 pounds of a new coffee blend that can sell for $12.62 per pound. How many pounds of each kind of coffee should they mix? Answer: pounds of Rift Valley coffee? pounds of Mexican Shade Grown coffee? Round your answers to the nearest whole number of pounds.
Answer:
24 pounds of Rift Valley coffee
26 pounds of Mexican Shade Grown coffee
Step-by-step explanation:
If R is pounds of Rift Valley coffee, and M is pounds of Mexican Shade Grown coffee, then:
R + M = 50
12.10 R + 13.10 M = 12.62 (50)
Substitute:
12.10 R + 13.10 (50 − R) = 12.62 (50)
12.10 R + 655 − 13.10 R = 631
R = 24
M = 26
Please help see the image below
Answer:
12 pi or 37.7units
Step-by-step explanation:
the perimeter is 4 semicircles which is 2 full circles. the formula for circumference of a circle (perimeter) is diameter times pi. the diameter given is 6 so you do 6 pi times 2 full circles which is 12 pi or 37.7 units
Answer:
12pi is ur correct answer
Are the lines X - 2Y= 4 and Y = 2X -2 parallel perpendicular or neither?
9514 1404 393
Answer:
neither
Step-by-step explanation:
Solving the first equation for y gives you ...
y = 1/2x -2
The slope of each line is the coefficient of x, 1/2 or 2. The slopes of 1/2 and 2 are not equal and are not opposite reciprocals. The lines are neither parallel nor perpendicular.
please help and thanks in advance :)
Which of the expressions below has a 5 in the thousandths place of the
product? Select all that apply.
A) 23.45 x 3.5
B) 12.5 x 4.5
C) 19.5 x 2.55
D) 8.65 x 4.5
Answer:
A,C, and D
Step-by-step explanation:
Thousandths place is this the third place behind the decimal.
A = 82.075
B = 56.250
C = 49.725
D = 38.925
Hope this helps ya!!
16\1024 cuánto es 16 dividido por 1024
Answer:
64
Step-by-step explanation:
1024÷16=64
hope this helps
3/2 x + 5 = 5 -2 (x+7)
Sal purchased two types of plant fertilizer and conducted an experiment to see which fertilizer would be best to use in his greenhouse. He planted 20 seedlings and used Fertilizer A on ten of them and Fertilizer B on the other ten. He measured the height of each plant after two weeks. What conclusion can Sal make about the plant fertilizers?
Sample number
Fertilizer A
Fertilizer B
1
19.8
23.4
2
25.7
30.1
3
29.0
28.5
4
23.2
26.3
5
27.8
32.0
6
31.1
29.6
7
26.5
26.8
8
24.7
25.2
9
21.3
27.5
10
25.6
30.8
A.
No conclusion can be made because the experiment is biased.
B.
The range of heights for plants with Fertilizer B is less than Fertilizer A.
C.
Fertilizer B will outperform Fertilizer A every time.
D.
On average Fertilizer A produces a taller plant.
Answer:
its B
Step-by-step explanation:
Fertilizer B is likely more effective than Fertilizer A.
The correct answer is option C: Fertilizer B will outperform Fertilizer A every time.
What is the mean?In mathematics and statistics, the term "mean" refers to the average of a set of variables. There are various ways to determine the mean, including geometric means, harmonic means, and simple arithmetic means (putting the numbers together and dividing the result by the quantity of observations).
To draw a conclusion from the experiment, we need to analyze the data. We can calculate the mean heights of the seedlings for each fertilizer.
For Fertilizer A: (19.8+25.7+29.0+23.2+27.8+31.1+26.5+24.7+21.3+25.6)/10 = 25.67
For Fertilizer B: (23.4+30.1+28.5+26.3+32.0+29.6+26.8+25.2+27.5+30.8)/10 = 28.89
Based on the data, it appears that the seedlings treated with Fertilizer B had, on average, a greater height than those treated with Fertilizer A.
Therefore, we can conclude that Fertilizer B is likely more effective than Fertilizer A.
The correct answer is option C: Fertilizer B will outperform Fertilizer A every time.
To learn more about the mean;
brainly.com/question/13451489
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