Answer:
i think i am pretty sure its a yes
No, the facility dose not have the exact pattern as the recent report at the 10% level.
What is Chi squared test of hypothesis?To determine if the Facility have the same pattern,
By using Chi squared test for Goodness of fit state the hypothesis
[tex]$H_{0}[/tex] : μ = same pattern
[tex]$H_{a}[/tex] : μ ≠ same pattern
Expected frequency (E) = proportion [tex]*[/tex] summation of frequency
summation of frequency = 1000
degree of freedom [tex]= 7 - 1 = 6[/tex]
Calculate the expected frequency (E) ,(O-E)²/E.
Given that the observed frequency and expected proportion exists given
For Monday
expected frequency = proportion [tex]*[/tex] frequency = 0.1 [tex]*[/tex] 1000 = 100
(O-E)²/E. = ( 120 - 100 )² / 100 = 4.0.
observed frequency (O), expected frequency (E)
For Tuesday
E = 0.1 [tex]*[/tex] 1000 = 100
(O-E)²/E = ( 130 - 100 )² / 100 = 9.0
For Wednesday through Sunday
Then perform Chi-squared test
X² = Σ(O-E)²/E = 63.642
∝ = 0.1
df = 6
hence P-value = 0.000 ( = chi sq dist rt(test-stat,df)
since P-value < ∝ ; we will fail to reject Ha hence we reject [tex]$H_{0}[/tex].
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Mopeds (small motorcycles with an engine capacity below 50 cm^3) are very popular in Europe because of their mobility, ease of operation, and low cost. Suppose the maximum speed of a moped is normally distributed with mean value 46.8 km/h and standard deviation 1.75 km/h. Consider randomly selecting a single such moped.
Required:
a. What is the probability that maximum speed is at most 49 km/h?
b. What is the probability that maximum speed is at least 48 km/h?
c. What is the probability that maximum speed differs from the mean value by at most 2.5 standard deviations?
Answer:
a) 0.1038 = 10.38% probability that maximum speed is at most 49 km/h
b) 0.2451 = 24.51% probability that maximum speed is at least 48 km/h
c) 0.9876 = 98.76% probability that maximum speed differs from the mean value by at most 2.5 standard deviations
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.
Mean value 46.8 km/h and standard deviation 1.75 km/h.
This means that [tex]\mu = 46.8, \sigma = 1.75[/tex]
a. What is the probability that maximum speed is at most 49 km/h?
This is the pvalue of Z when X = 49. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{49 - 46.8}{1.75}[/tex]
[tex]Z = 1.26[/tex]
[tex]Z = 1.26[/tex] has a pvalue of 0.8962
1 - 0.8962 = 0.1038
0.1038 = 10.38% probability that maximum speed is at most 49 km/h.
b. What is the probability that maximum speed is at least 48 km/h?
This is 1 subtracted by the pvalue of Z when X = 48. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{48 - 46.8}{1.75}[/tex]
[tex]Z = 0.69[/tex]
[tex]Z = 0.69[/tex] has a pvalue of 0.7549
1 - 0.7549 = 0.2451
0.2451 = 24.51% probability that maximum speed is at least 48 km/h.
c. What is the probability that maximum speed differs from the mean value by at most 2.5 standard deviations?
Zscores between Z = -2.5 and Z = 2.5, which is the pvalue of Z = 2.5 subtracted by the pvalue of Z = -2.5
Z = 2.5 has a pvalue of 0.9938
Z = -2.5 has a pvalue of 0.0062
0.9938 - 0.0062 = 0.9876
0.9876 = 98.76% probability that maximum speed differs from the mean value by at most 2.5 standard deviations
Given that there are 5,280 feet in one mile, how many feet does this man
now run in one minute
Answer:
how fast is he running???
Need some help :(
What is the speed of a jet plane that flies 8100 km in 9 hours?
A. 900 km/sec
B. 900 km/hr
C. 900 meters/sec
D. 900 km/hr/hr
I will give Brainliest !!
Answer:
::::::::::::::::
B. 900 km/h
how many dvds does gene have after 15 weeks?
Answer:
75 DVDs
Step-by-step explanation:
Unit rate: 1/5
1 week
5 dvds
15*5= 75
he has 75 dvds after 15 weeks :)
please help. my khan is due at 6
Answer:
10.5 meter sqaured
Step-by-step explanation:
Answer:
Answer is 10.5 meters squared
Step-by-step explanation:
What is the area of the triangle?
Answer:
120
Step-by-step explanation:
since its a right-angled triangle you will use the formula:1/2 of the base × height
Answer:
[tex]120^{2}[/tex]
Step-by-step explanation:
Heron's formula
(for every triangle, you can use this same formula. just change the value of the letters)
a = 26
b = 10
c = 24
s = area
S = [tex]\sqrt{s(s - a)(s - b)(s - c)}[/tex]
S = [tex]\frac{(a+b+c)}{2}[/tex]
If f(x) = –3x – 2, what is f(–5)?
Answer:
f(-5) = 13
Step-by-step explanation:
Substitute x with -5
f(-5) = -3 (-5) - 2
=> 15 - 2
=> 13
hope this helps and is right. p.s. i really need brainliest :)
if this is wrong then I am incredibly sorry!
You have 42 peaches and want to share them equally with 6 people. How many peaches will each person get? Please be sure to write your answer in a complete sentence.
Answer:
7
Step-by-step explanation:
I did the math on a calculator
Jane earns $2100 per month, plus a 3.5% commission on sales. If she has $42,000 in sales for December, what is her total salary for the month?
Answer:$3570
Step-by-step explanation:
42000x0.035=1470
2100+1470=3570
Write a fraction and a percent to represent the shaded portion of the model.
Fraction:
Percent:
Answer:
Fraction:[tex]\frac{5}{9}[/tex]
Percent: to the nearest percent 56% or 55.5555555556%
Step-by-step explanation:
There are nine total parts and 5 of those parts are shaded
You would divide 5 by 9 to get the percent then multiply it by 100
Answer:
5/9
or
45%
Step-by-step explanation:
A private lake sells boating memberships and currently has 600 members. During the application process the potential members are asked which recreational activity they do the most. Their choices are fishing, skiing, boarding, swimming, or tubing. The lake manager chooses clients according to their interests to maximize the use of all areas of the lake. Every month, the lake rangers randomly sample the boats on the lake and categorize them according to the activity they are doing. The lake manager performs a chi-square goodness-of-fit test using the following null hypothesis to see whether their samples differ significantly from what the original applications claim.
H0:pfish=0.26,pski=0.21,pboard=0.30,pswim=0.12,ptube=0.11
In order to meet the conditions for independence and large counts for a chi-square goodness-of-fit test, which of the following represents all possible sizes of the monthly samples?
a. n≥30
b. 30≤n≤50
c. 46≤n≤60
d. n≥46
e. n≤60
Answer:
46 ≤ n ≤ 60 ( C )
Step-by-step explanation:
using the given null hypothesis to check if the samples differ from originally values
given that: frequency ( f ) ≥ 5
N = 600
hence : n * 0.11 ≥ 5
therefore : n ≥ 45.45
next : also n / N ≤ 0. 10
therefore: n ≤ 0.1 * 600
therefore all possible sizes will lie between
46≤n≤60
Find the length of MP
Answer:
5x-6 = 2x+9
3x = 15
x = 5
Then
MP=38
Hope it helps you!
please help marking brainliest if it's correct and explain
Answer:
mean means average so I think i should have first add all the numbers then divide by the number of the numbers I think that's the method if you don't see it correct then it's alright but I believe it's correct.
Jeff bought 7 pounds of chocolate
and spent $889. How much is one
pound of chocolate?
Answer:
127
Step-by-step explanation:
How many 2 1/3 yards to feet?
Answer:
6.99 rounded up to 7 :))
Step-by-step explanation:
1/3 = 0.33
2.33 * 3 = 6.99 ft
someone answer this please
Answer:
b = 33m is the answer
Step-by-step explanation:
a = 44m
b = ?
c = 55m
According to the Pythagoras theorem,
a² + b² = c²
44² + b² = 55²
1936 + b² = 3025
b² = 3025 - 1936
b² = 1089
b = 33m
∴ b = 33m is the length of the missing leg.
since the great drought left the soil completely useless, the people of that country were forced to______ food from other countries
A. export
B. import
C. report on
D. sell
What is the answer?
Answer:
B import food from other countries
HELP PLS DUE NOW BRAINLIEST AND A THANKS
Answer:
D
Step-by-step explanation:
The researcher did no prediction or any (possible)
Hope this helps :)
Find the area of the shaded region
If a fraction is equal to 2/9
and the sum of the numerator and denominator is 99, what is the fraction?
Answer:
18/81
Step-by-step explanation:
the current fraction adds up to 11 so to get 99 you would need to multiply both the numerator and the denominator by 9 to get a sum of 99
so 2 x 9 = 18 and 9 x 9 =81
so answer is 18/81
HELP PLEASEE HURRY PLEASE
Answer:
Here
Step-by-step explanation:
Identify the percent of increase from 25 to 65. (To the nearest tenth of a percent)
Answer:
160%
Step-by-step explanation:
(65 - 25 )/25 x 100% = 160%
Please help me! I will give brainliest
Elizabeth brought a box of donuts to share. There are two-dozen (24) donuts in the box, all identical in size, shape, and color. Two are jelly-filled, 6 are lemon-filled,
and 16 are custard-filled. You randomly select one donut, eat it, and select another donut. Find the probability of selecting a jelly-filled donut followed by a lemon-filled
donut.
(Type an integer or a simplified fraction.)
Step-by-step explanation:
P(A) = 5/24
P(B|A) = 5/23
(5/24)(5/23) = 25/552
6. Alice is covering a foam cube with fabric to make a footstool. Each side of the cube is 20 inches. How
many square inches of fabric will she need?
120 in? of fabric
0 720 in.of fabric
1,200 in? of fabric
2,400 in 2 of fabric
A cookie factory can bake 62 trays of cookies in the morning and 53 trays of cookies in the afternoon. If each tray holds 12 cookies, how many cookies can be baked in 1 day?
Answer:
I belive the answer is 1380.
How many DVDs would they each have if they continued the same pattern for ten ADDITIONAL weeks.
Answer:
Step-by-step explanation:
60 and 64 :)
What is the probability of choosing an ace from a deck of cards? Type your answer as a fraction.
Answer:
Step-by-step explanation:
there are 52 cards in a deck, there are 4 aces. This would create a fraction of 4/52. (using the probaility set up of what I want over the total of everything). I hope this helps!
The base of a square prism has an area of 16 sq inches. The height of the prism is 6 inches. What is the Surface are of the square prism?
Answer:
96
Step-by-step explanation: because you need to multiply 16 and 6 and when you multiply them you will get 96
The surface area of 128 square inches.
What is surface area?The total surface area of a three-dimensional form is the sum of all the surfaces on each side.
Given the area of the base of the square prism is 16 inches. so each side of the base is 4 inches. and the height is given 6 inches.
hence, surface area of the given square prism = 2(area of base + 2 * area of one side)
area of one side = 4* 6 = 24
so, surface area of square prism = 2 (16 + 2 * 24) = 128 square inches
Therefore, 128 square inches is the surface area of the square prism.
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Use the quadratic formula to find both solutions to the quadratic equation
given below.
3x2 - X+5 = 0
A quadratic equation is written in the form of ax²+bx+c. The roots of the given quadratic equation are shown in options B and F.
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.
The roots of a quadratic equation can be found using the formula,
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
Given the quadratic equation 3x²-x+5 = 0. Comparing it with the general quadratic equation the value of a, b, and c will be 3, -1, and 5.
Now, if we substitute the values in the formula of the roots of the quadratic equation,
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]x = \dfrac{-(-1) \pm \sqrt{(-1)^2 - 4(3)(5)}}{2(3)}\\\\[/tex]
x = (1±√-59)/6
x = (1+√-59)/6, (1-√-59)/6
Hence, the roots of the given quadratic equation are shown in options B and F.
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