Answer:
the probability that the sample mean is greater than 2.1 but less than 2.4 is 0.2444
Step-by-step explanation:
Given the data in the question;
x f(x) xp(x) x²p(x)
1 1/3 0.33333 0.33333
2 1/3 0.66667 1.33333
3 1/3 1.00000 3.0000
∑ 2.0000 4.6667
∑(xp(x)) = 2
∑(x²p(x)) = 4.6667
Variance σ² = ∑(x²) - ∑(x)² = 4.6667 - (2)² = 4.6667 - 4 = 0.6667
standard deviation σ = √variance = √0.6667 = 0.8165
Now since, n = 33 which is greater than 30, we can use normal approximation
for normal distribution z score ( x-μ)/σ
mean μ = 2
standard deviation = 0.817
sample size n = 33
standard of error σₓ = σ/√n = 0.817/√33 = 0.1422
so probability will be;
p( 2.1 < X < 2.4 ) = p(( 2.1-2)/0.1422) < x"-μ/σₓ < p(( 2.4-2)/0.1422)
= 0.70 < Z < 2.81
= 1 - ( 0.703 < Z < 2.812 )
FROM Z-SC0RE TABLE
= 1 - ( 0.25804 + 0.49752 )
= 1 - 0.75556
p( 2.1 < X < 2.4 ) = 0.2444
Therefore, the probability that the sample mean is greater than 2.1 but less than 2.4 is 0.2444
Describe the slope of the line.
The slope is
Find the slope.
m =
step by step explanation
Answer:
The slope is POSITIVE.
The line has a slope of positive 4/3
Step-by-step explanation:
It rises 4 then runs 3.
What is the area of a circle with a circumference
of 25.12 meters?
Area of a circle=πr^2
circumference of a circle= 2πr
circumference of a circle=25.12
2πr=25.12
r=25.12÷2π=4
radius=4
Are of circle= πr^2=π4^2=50.28cm^2
Evaluate the following expressions: (2×3)2-52
What Is The Answer
k3 - 4j +12, when k=8, j=2
Answer:
The answer would be 28
Step-by-step explanation:
You would plug 8 in where k is and 2 where j is
so (8)3 - 4(2) +12
answer is 28
Both Dominic and Zoe are 4 feet 6 inches tall. What is their combined height in inches?
Answer:
Their combined height is 108 inches
Step-by-step explanation:
1 ft = 12 inches
12 * 4 = 48 inches
48 + 6 = 54 inches
54 * 2 = 108 inches
Answer:
9 ft and 0 inches
Step-by-step explanation:
4 ft 6 inch + 4 ft 6 inch = 8ft 12inch
12 inches = 1 foot
8 ft + 1 ft = 9ft
The manufacturer of a low-calorie dairy drink wishes to compare the taste appeal of a new formula (formula B) with that of the standard formula (formula A). Each of four judges is given three glasses in random order, two containing formula A and the other containing formula B. Each judge is asked to state which glass he or she most enjoyed. Suppose that the two formulas are equally attractive. Let Y be the number of judges stating a preference for the new formula. a Find the probability function for Y . b What is the probability that at least three of the four judges state a preference for the new formula
Answer:
a) [tex]P_y = \frac{4}{y} * \frac{1}{3}^y * \frac{2}{3}^{4-y}[/tex]
b) 0.033
Step-by-step explanation:
Let Y represents the number of judges preferring a formula.
There are total four judges and each judge can select either A or B
n = 4, p = 1/3
a) The probability function is
[tex]P_y = \frac{4}{y} * \frac{1}{3}^y * \frac{2}{3}^{4-y}[/tex]
b)
Substituting the value of y -3 in above equation, we get -
[tex]P_3 = \frac{4}{3} * \frac{1}{3}^3 * \frac{2}{3}^{4-3}\\= \frac{4}{3} * 0.037 * 0.67\\= 0.033[/tex]
I need help with this question, pls put step by step
Answer:
150 degrees and 30 degrees
Step-by-step explanation:
Let's say the measure of the angle is x. This angle is 5 times that of its supplementary, supplementary angles will add up to 180 degrees. So we have an equation of x = 5(180-x). Solve this equation for x
x = 5(180-x)
x = 900 - 5x
6x = 900
x = 150 degrees, this is the value of one angle
The other angle is 180-x = 180-150 = 30 degrees
The radius of a cylindrical construction pipe is 1.5ft. If the pipe is 17ft long
Answer:
The volume is 120.11ft^3
Step-by-step explanation:
Given
[tex]r = 1.5ft[/tex]
[tex]l = 17ft[/tex]
Required
Determine the volume
This is calculated as:
[tex]V = \pi r^2h[/tex]
h, in this case represents the length;
So, we have:
[tex]V = 3.14 * 1.5^2 * 17[/tex]
[tex]V = 120.11ft^3[/tex]
If the total number of people attending the game was 64,000, how many people were
supporters of the home team?
A 12,800
B 38,400
C 48,000
D 51,200
Round 1526.04 to the nearest tenths
Plsssss help will mark brainliest
Answer:
24
Step-by-step explanation: 12 divided by 1/2 is 24
Answer:
24 pls GIVE ME BRAINLIEST not trynna be demanding but iv never had one before
Step-by-step explanation:
What’s the answer to this
18 less than the quotient of a number and -5 is no less than 31
Answer:
1
Hope this helps!!!!
In AIJK, the measure of K=90°, IJ = 8.6 feet, and KI = 4.5 feet. Find
the measure of ZI to the nearest tenth of a degree.
Answer:
58.4
Step-by-step explanation:
delta math give up
can someone help me ? Finding the slope graphically! Please hurry
Answer:
Step-by-step explanation:
they are asking for the triangle the "hangs " off the line, and so that it's in integer units.
by looking at the graph, I think if you were to draw a line on the y =4 ... so a flat horizontal like from the y axis at 4 on the y axis over to your graphed line.. that would do it.. :/ get it?
then the y axis is the "rise" and the line going from the y axis, horizontallly over to the graphed line, from 4.. and staying on 4 to the line... would be the run... :? I think this will be tough to get
PLEASE HELP!!!!!!!!!!!!
Write the equation in standard form for the circle x^2 + y^2 - 14y + 24 = 0
Answer:
x^2+(y-7)^2=25
Step-by-step explanation:
x^2+y^2-14y=-24
x^2+(y-7)^2-49=-24
x^2+(y-7)^2=25
Solve 4ax + 5ax = 6 ax + 9 for x. Assume a = 0.
Step-by-step explanation:
4ax + 5ax = 6 ax + 9
If a=0
Then
0+0≠0+9
so x is undefined
If the value of 'a' is zero. Then the solution of the equation will be not defined.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
The equation is given below.
4ax + 5ax = 6ax + 9
Simplify the equation for x, then the equation is given as,
4ax + 5ax = 6ax + 9
4ax + 5ax - 6ax = 9
3ax = 9
x = 3 / a
If the value of 'a' is zero. Then the solution of the equation will be
x = 3 / 0
x = not defined
If the value of 'a' is zero. Then the solution of the equation will be not defined.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
I don't get this question
Answer:
Q = 85°
Step-by-step explanation:
P + Q = 180° (angles on the same side of transversal)
95° + Q = 180°
Q = 180° - 95°
Q = 85°
Find the volume.please :>
Answer:
The volume of the cube is 77 inches.
solve for x. x+53=99 A.36 B.46 C.47 D.152
Answer:
Hii, the answer B. 46
Step-by-step explanation:
x+ 53 = 99
So to find what x equals we just do simple subtraction
99 - 53 = 46
so x = 46
Hope this helps!
Tonya has 39 packages. Each package weighs 6 pounds. Choose the best estimate of the total weight of the packages.
Step-by-step explanation:
If were estimating, 39 is pretty close to 40 and 40x6 is 240 pounds. if we are getting exact about it, then 234 pounds
every day, andrews orange juice stand uses 2 bags of oranges. How many days with 2/3 of a bag of oranges last?
Answer:
2/3
Step-by-step explanation:
plz plz plz, HELP!!!! I will give u brainlylist
Answer:
69
Step-by-step explanation:
thats the answer now give me brainliest NOW:)
A farmer sells 8.9 kilograms of pears and apples at the farmer's market. 1 4 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?
Answer:
7.5 kilograms of apples
Step-by-step explanation:
Take the total amount and subtract the amount of pears.
8.9-1.4=7.5
Answer:
If 2/5 are apples, 2/5 x 8.9 kilos = 0.4 x 8.9 = 3.56 kilos of apples
pears = 8.9 - 3.56 = 5.34 kilos
if apples are 2/5, then pears are 3/5. 3/5 x 8.9 = .6 x 8.9 = 5.34 kilos of pears
A very large bag contains more coins than you are willing to count. Instead, you draw a random sample of coins from the bag and record the following numbers of each type of coin in the sample before returning the sampled coins to the bag. If you randomly draw a single coin out of the bag, what is the probability that you will obtain either a quarter or a penny
Missing Details
Quarters ≡ Dimes ≡ Nickels ≡ Pennies
23 ≡ 29 ≡ 17 ≡ 38
Answer:
[tex]P(Q\ or\ P) = 0.5701[/tex]
Step-by-step explanation:
Given
[tex]Quarters = 23[/tex]
[tex]Dimes = 29[/tex]
[tex]Nickels = 17[/tex]
[tex]Pennies = 38[/tex]
First, we calculate total number of coins
[tex]Total = 23 + 29 + 17 + 38[/tex]
[tex]Total = 107[/tex]
The probability of obtaining quarter (Q) of penny (P) is:
[tex]P(Q\ or\ P) = P(Quarters) + P(Pennies)[/tex]
[tex]P(Q\ or\ P) = \frac{n(Quarters)}{Total} + \frac{n(Pennies)}{Total}[/tex]
Take LCM
[tex]P(Q\ or\ P) = \frac{n(Quarters) + n(Pennies)}{Total}[/tex]
[tex]P(Q\ or\ P) = \frac{23 + 38}{107}[/tex]
[tex]P(Q\ or\ P) = \frac{61}{107}[/tex]
[tex]P(Q\ or\ P) = 0.5701[/tex]
There are 797 identical plastic chips numbered 1 through 797 in a box. What is the probability of reaching into the box and randomly drawing a chip number that is smaller than 507
Answer:
0.6357 = 63.57% probability of reaching into the box and randomly drawing a chip number that is smaller than 507
Step-by-step explanation:
The probability of drawing each chip is the same, which means that the uniform distribution is used to solve this question.
Uniform distribution:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distribution has two bounds, a and b, and the probability of finding a value lower than x is given by:
[tex]P(X < x) = \frac{x - a}{b - a}[/tex]
There are 797 identical plastic chips numbered 1 through 797 in a box.
This means that [tex]a = 1, b = 797[/tex]
What is the probability of reaching into the box and randomly drawing a chip number that is smaller than 507?
[tex]P(X < 507) = \frac{507 - 1}{797 - 1} = 0.6357[/tex]
0.6357 = 63.57% probability of reaching into the box and randomly drawing a chip number that is smaller than 507
Rewrite 10x - 5y = -30 in slope-intercept form.
somebody help me wit dis
Answer:
y = 2x + 6
Step-by-step explanation:
10x - 5y = -30
-5y = -10x - 30
y = 2x + 6
simplify 5p - 3 p + p
the answer is 3p
hope it helps!
Answer: 3p
Step-by-step explanation:
5 − 3 + =
3
can somebody help me?
Answer:
15x + 7
Step-by-step explanation:
i set this up
8x + 16 + 7x -9
the next step is to combine like terms
8x + 7x = 15x
16 - 9 = 7
15x = 7
15x + 7