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
Use the two-way table to answer the question.
A student surveys classmates to find out if they prefer muffins or cookies with or without nuts. The table summarizes the responses of the survey.
Part B
If a student prefers nuts, what is the approximate probability the student also prefers muffins?
O 11%
O 18%
O 31%
O 46%
Answer:
A.) 11%
Step-by-step explanation:
Step 1) There are 9 favorable outcomes but only 1 outcome is possible, so that leaves us with a fraction of: [tex]\frac{1}{9}[/tex]
Step 2) Then we need to turn this into a decimal to find the percentage:
1 ÷ 9 = 0.111111111...
Step 3) We now need to turn this into a percent:
0.11 x 100% = 11%
The product of 4 and a number
Answer:
4*x
Step-by-step explanation:
Answer:
4x
Step-by-step explanation:
x in this case would be the number
What is 5x²+7x-9-4x²-x+18?
Answer:
5X²+7X-9-4X²-X+18
5X²-4X²+7X-X+18-9
X²+6X+9 =0
X²+(3X+3X)+(3×3)=0
ALL FACTORS ARE =3,3 that is pdt of factor 3×3 =9 sum =3+3 =6
(X+3) ( X+3) =0
X+3 =0
X=-3
ANS = X=-3
Step-by-step explanation:
Clare bought an expensive
for £38 000 and sold it 3 years later
for £25 000. Find the percentage loss
that she made on the sale. (1 dp)
Can Someone Please Help Me. ?
Distance between the points (2,7) and (-2,-7)
Answer:
um isn't it (4,14)
Step-by-step explanation:
How are a parallelogram and a trapezoid different?
O A Atrapezoid has only 1 pair of parallel sides but a parallelogram has 2
O BA parallelogram has 4 nght angles but a trapezoid doesn't need to have 4 night angles
OC A parallelogram has only 1 pair of parallel sides but a trapezoid has 2
D. A trapezoid has 4 right angles but a parallelogram doesn't need to have 4 night angles
8 07 13 Answered
Answer:
(a) A trapezoid has only 1 pair of parallel sides but a parallelogram has 2
Step-by-step explanation:
Required
The difference between a trapezium and a parallelogram
The major difference is:
A trapezium has a pair of parallel side, the other sides are not parallel
A parallelogram has 4 sides where opposite sides are parallel (i.e 2 pairs of parallel sides).
Hence, (a) is correct
If each cube in the rectangular prism measures 1 cubic foot, what is the volume of the prism?
A. 13 cubic ft
B. 7 cubic ft
C. 6 cubic ft
D. 8 cubic ft
Answer:
C; 6 cubic ft.
Step-by-step explanation:
theres 6 cubes and each are 1 feet 2^ so therefore 6 times 1 = 6 ft. 2^
[tex]1.8 greater \: or \: less \: than \: 18percent[/tex]
is 1.8 greater or less than 18%
f(x)= x2 + 5x at x = 4
Answer:
x)x+5x
Step-by-step explanation:
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{If x = 4 and f(x) = y}[/tex]
[tex]\mathsf{y = 4^2 + 5(4)}[/tex]
[tex]\mathsf{4^2 = 4 \times 4 = 16}[/tex]
[tex]\mathsf{y = 16 + 5(4)}[/tex]
[tex]\mathsf{5(4) = 20}[/tex]
[tex]\mathsf{y = 16 + 20}[/tex]
[tex]\mathsf{36= 20 + 16}[/tex]
[tex]\mathsf{y = 36}[/tex]
[tex]\boxed{\boxed{\mathsf{Answer: \bf{y = 36}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Use the net to find the surface area of the cylinder. 6ft and 7ft
Answer:
A. 84 pi feet^2
Step-by-step explanation:
So the lateral area is the rectangular piece on the net
In order for it to be an actual cylinder the 2 circles are congruent
Therefore the radi, area, circumference ect.. are the same.
So the only missing measurement we need to find the lateral area is the length of the rectangular piece
If you visualize a cylinder, the rectangular piece goes around the perimeter/circumference of the circle
So that means that the length of the rectangle is the circumference of the circle
Circumference = 2*pi*r
2 * pi * 6
= 12 pi
Then 7*12 pi
=84 pi
So the lateral area is 84 pi
:0
Samantha’s annual college tuition is $18,541.89. The college offers a monthly payment plan of 9 equal payments. How much would each monthly payment be?
Answer:
18541.89/9 = $2060.21 is the answer
Step-by-step explanation:
Total college tuition = $18541.89
Number of equal payments = 9
Equal payments = 18541.89/9
= $2060.21
(Please do correct me if I'm wrong as I'm not completely sure)
Find the x intercept for the graph, 3x-14y+12=0
if you were a doughnut shop owner and wanted to find out which doughnut you should make more of, which measure of central tendency would you use.
Answer:
Mode
Step-by-step explanation:
Measures of central tendency:
The 3 most common measures of central tendency are: The mean, the median, and the mode.
The mean is the average value.
The median separates the lower 50% of the values from the upper 50% of the values.
The mode is the value that appears the most times in the data-set.
In this question:
To find the doughnut you should make more, you should have to know which has the biggest interest from clients, that is, the one that is sold the most, which means that the mode should be used.
Answer:
Mode
Step-by-step explanation:
The slope indicates that the height ? feet per minute.
x/2-(1/4)(x-1/2)=1/6(2x+1)+1/3. x=?
Answer:
Step-by-step explanation:
x = -4.5
Round 456.5347 to 1. d.p
I need help with this please!!
Answer:
...
Step-by-step explanation:ok first off im not good at math try ur best
everybodys smartVwV
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]
PLEASE HELP which number line represents the solution to |x-5|< 3 ?
please answer asap i need help
Answer:
x = 11
Step-by-step explanation:
interior angles of a triangle = 180
equation:
⇒ 82 + 31 + 6x + 1 = 180
combine like terms:
⇒ 82 + 31 + 6x + 1 = 180
⇒ 114 + 6x = 180
subtract 114 on both sides:
⇒ 114 - 114 + 6x = 180 - 114
⇒ 6x = 66
divide 6 on both sides:
⇒ 6x = 66
⇒ [tex]\frac{6x}{6} = \frac{66}{6}[/tex]
⇒ x = 11
Find the volume of the cone.
Answer:
[tex]v = \frac{1}{3} \times h \times r {}^{2} \times \pi[/tex]
[tex]v = \frac{12cm \times (8cm) { }^{2} \times \pi}{3} [/tex]
[tex]v = \frac{768cm {}^{3}\pi }{3} [/tex]
[tex]v = 256\pi \: cm {}^{3} [/tex]
Thank you to anyone who who answers
Answer:it should be 8
Step-by-step explanation:
send helpp pleaseeeeee
Answer:
1. VR and TS
2. TS and RS
3. TV and RS
Step-by-step explanation:
2x² + 8x²8x-32
how do find the x and y intercept?
Answer:
Step-by-step explanation:
multiply and divide your equation then subtarct it and you get your answer
two angles join to form a straight line the first angle measures 100 degrees what is the measure of the second angle
the quotient of a number and 2
Answer:
what is the question?
Step-by-step explanation:
.????
GEOMETRY!! Will give brainliest
Answer:
60
Step-by-step explanation:
(20x15)0.5
Please assist me with this Distribution Problem
9514 1404 393
Answer:
1. 6.1 to 10.3
2. 9.6 hours
3. 7.5 hours
Step-by-step explanation:
1. The empirical rule or the supplied chart will tell you that μ ±3σ of the distribution is within 99.7% of the mean. Here, that is ...
8.2 ±3(0.7) = 8.2 ±2.1 = [6.1, 10.3]
The range of hours is 6.1 to 10.3 hours.
__
2. 2.5% of the distribution is above μ +2σ, or ...
8.2 +2(0.7) = 9.6 . . . hours
__
3. The bottom 16% of the distribution is below μ -σ, or ...
8.2 -0.7 = 7.5 . . . hours
express 75 kobo as a decimal of 1 naira 50 kobo
Answer:
0.005
Step-by-step explanation:
75/50 = 1.5
1.5/300 = 0.005