Answer:
No, there is not sufficient evidence to support the claim that the bags are underfilled
Step-by-step explanation:
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting.
This means that the null hypothesis is:
[tex]H_{0}: \mu = 434[/tex]
It is believed that the machine is underfilling the bags.
This means that the alternate hypothesis is:
[tex]H_{a}: \mu < 434[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
434 is tested at the null hypothesis:
This means that [tex]\mu = 434[/tex]
A 9 bag sample had a mean of 431 grams with a variance of 144.
This means that [tex]X = 431, n = 9, \sigma = \sqrt{144} = 12[/tex]
Value of the test-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{431 - 434}{\frac{12}{\sqrt{9}}}[/tex]
[tex]z = -0.75[/tex]
P-value of the test:
The pvalue of the test is the pvalue of z = -0.75, which is 0.2266
0.2266 > 0.01, which means that there is not sufficient evidence to support the claim that the bags are underfilled.
An object is dropped from a height of 1168 feet above the ground.
How high above the ground will the object be after 6 seconds?
Incorrect
feet
Correct
How long after being dropped will the object reach the ground? (if necessary, round to the nearest tenth)
9514 1404 393
Answer:
592 feet
8.5 seconds
Step-by-step explanation:
The usual equation used for ballistic motion is ...
h(t) = -16t^2 +h0
Here, we have h0=1168 and t=6, so ...
h(t) = -16(6^2) +1168 = 592 . . . feet high after 6 seconds
__
For h(t) = 0, the value of t can be found from ...
0 = -16t^2 +1168
t^2 = 1168/16 = 73
t = √73 ≈ 8.5
The object will reach the ground after 8.5 seconds.
Which are the solutions of x^2 = 19x + 1?
Answer:
x = [tex]\frac{19+\sqrt{365}}{2}, \frac{19-\sqrt{365}}{2}[/tex]
Step-by-step explanation:
1. Move everything to one side of the equation.
x^2 - 19x - 1 = 0
2. Use the quadratic formula where a = 1, b = -19, and c = -1.
x = (-b +- sqrt(b^2-4ac)) / 2a
If you plug those numbers into that formula, you will get the result listed above
Answer:
B
x₁ = [tex]\frac{19-\sqrt{365}}{2}[/tex], x₂ = [tex]\frac{19+\sqrt{365} }{2}[/tex]
Step-by-step explanation:
How many times greater is the value of the 8 in 382,000 than the value of the 8 in 38,200
Answer:
10 times
Step-by-step explanation:
382,000 divided by 38,200 = 10
Eva earns $500 per month plus $3 for every sale she makes which inequality can she use to find how much she must sale to earn at least $1,200 in a month
Answer:
500 + 3(s) ≥ 1200
Step-by-step explanation:
Ok so the goal is to earn 1,200 / month
We know that she already earns 500/month
So lets do some subtraction
Because she needs to make ATLEAST 1,200, well use either ≤ or ≥
Lets call (s) the number of sales she makes
Lets form the inequality
500 + 3(s) ≥ 1200
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
find the mean 12,13,9,5,11,10
Answer:
10
Step-by-step explanation:
5+9+10+11+12+13=60 divided by 6 = 10
Mean = Sum of all observations/Number of observations
Mean = 12 + 13 + 9 + 5 + 11 + 10/6
=60/6
= 10
dont forget to like and mark me
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Which of the following equations will produce the graph shown below?
A. x^2 = 8y
B. x^2= -8y
C. x-1/8y^2= 0
D. y= 1/2x^2
Answer: The correct answer is C
x-1/8y^2=0
Step-by-step explanation: i took the test and got it right
Will give brainliest
Find the probability that a
randomly
selected point within the circle falls
in the white area.
r = 4 cm
a = 3.2 cm
S = 4.7 cm
[? ]%
Round to the nearest tenth of a percent.
Answer:
25.54
Step-by-step explanation:
somebody say it on the comments :)
The probability that a randomly selected point within the circle falls in the red-shaded area is 75.61%.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
We need to find the probability that a randomly selected point within the circle falls in the white area.
We have been given the following parameters;
Radius r = 4 cm
a = 3.2 cm
S = 4.7 cm
The area of the circle A = πr²
A = π(4)²
A = 16π square cm
Here, The total number of outcomes = 16π square cm = 50.26 square cm
The side length of the pentagon a = 4.7 cm
The area of the pentagon can be calculated using:
Area = (1/4)√[5(5+2√5)]a²
Plug a = 4.7
Area = (1/4)√[5(5+2√5)](4.7)²
After calculating, we get;
Area = 38.01 square cm
The Total favorable outcomes = 38.01 square cm
The probability = 38.01/50.26
The probability = 0.7561
In percent,
The probability = 75.61%
Therefore, the probability that a randomly selected point within the circle falls in the red-shaded area is 75.61%.
Learn more about probability here;
https://brainly.com/question/11234923
#SPJ2
three numbers are in A.P. the difference between the first and the last is 8 and the product of these two is 20. find the numbers
9514 1404 393
Answer:
10 and 2
Step-by-step explanation:
Essentially, you're being asked to find factors of 20 that have difference of 8. 20 can be factored as ...
20 = 20×1 = 10×2 = 5×4
The factors 10 and 2 have a difference of 8.
The numbers are 10 and 2.
The circle graph shows the results of a survey about favorite hobbies. A total of 1,000 people
were surveyed.
Favorite Hobbies
8%
Scrapbooking
24%
Playing Sports
16%
Collecting
22%
Cooking
12%
Reading
18%
Traveling
a. How many selected traveling as their favorite hobby?
Answer:
180 people
Step-by-step explanation:
Total of people surveyed = 1,000
% of people that selected travelling as their favorite hobby = 18 %
Number of people that selected travelling = % that selected travelling of 1,000
= 18% of 1,000
= 18/100 × 1,000
= 180 people
Therefore, 180 people selected travelling as their favorite hobby.
Can someone please help me!!!
What values are solutions to the inequality below ? X<9
SOMEONE HELP ME FASTTTT!
Answer:
81
Step-by-step explanation:
√x > 9
Squaring both sides, you will get
x > 81
29 of the 42 athletes who participated in
the parkrun were female. Determine
the probability of randomly selecting
a male athlete from this group.
Find the equation (in terms of x ) of the line through the points ( − 5 , 4 ) and ( 4 , 0 ) . Express your answer in slope-intercept form
Answer:
Equation = 4x + 9y = 16Step-by-step explanation:
co-ordinate = (-5.4) & (4,0)
slope(m) = (y² - y¹) / (x² - x¹)
slope(m) = (0-4) / (4+5)
slope(m) = -4 / 9
Equation,
y = mx + c
y - 0 = -4/9 (x - 4)
9y = -4x + 16
4x + 9y = 16
Solve the equation:
f÷8=20
Answer:
f=160
Step-by-step explanation:
all you really need to do is multiply 20 and 8 and you end up with 160
What is the area of the figure? I give brainliest! :)
Answer: I think it is 142
Step-by-step explanation:
91 + 51 = 142
Given m|n, find the value of x.
t
156°
х.
Answer:
i think the answer would be 156° .
hope it helps you ^.^
you are in talks to settle a potential lawsuit. the defendant has offered to make annual payments of 23000 29000 56000 and 84000 to you each year over the next four years respectively. all payments will be made at the end of the year. if the appropriate interest rate is 4.5 percent what is the value of the settlement offer today
Answer:
The defendant has offered to make annual payments of $23,000, $29,000, $56,000, and $84,000 to you each year over the next four years,
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
he action or condition of becoming or being made wider, larger, or more open.
Step-by-step explanation:
The following quadrilateral is a parallelogram. Solve for x, y, and z.
Answer:
Angle X = 73 degrees, Angle Z = 34 degrees, and Angle Y = 146 degrees
Car travel 12 miles on 1/3 gallons gas what is the unit rate
Answer: Car travels 36 miles on 1 gallon of gas
Step-by-step explanation:
[tex]\frac{12}{1}[/tex] ÷ [tex]\frac{1}{3}[/tex]
12*3 (reciprocal)
36 ( car travels 36 miles on 1 gallon of gas )
PLEASE HELP!!!!!!!!!!!!! ILL GIVE YOU BRAINLEST AND EXTRA POINTS!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
73 is the correct answer
Step-by-step explanation:
I would pick 3 and 6
or C and F
The zeros of a parabola are -5 and -3. The point (0, 60) is on the graph as represented by the equation.
60=a(0+5)(0+3)
What is the value of a?
−7.5
−4
4
7.5
plz be right its a massive grade
Answer:
C is the Correct answer and luck on the massive grade
What value of x makes this equation true?
0.8x + 14 = 3.8x - 16
Step-by-step explanation:
The value should be
0.8x-3.8x=-16-14
-3x=-30
X= -30/-3= 10 Answer
For a sample with mean = 50 and standard deviation = 10...
A. Find the z-score for each of the following X values:
X = 60
X = 75
X = 30
X = 60 is 1 standard deviation above the mean.
X = 75 is 2.5 standard deviations above the mean.
X = 30 is 2 standard deviations below the mean.
To find the z-score for a particular X value, we use the formula:
z = (X - mean)/standard deviation
where X is the given value, mean is the population mean, and standard deviation is the population standard deviation.
For X = 60:
z = (60 - 50)/10 = 1
Therefore, the z-score for X = 60 is 1.
For X = 75:
z = (75 - 50)/10 = 2.5
Therefore, the z-score for X = 75 is 2.5.
For X = 30:
z = (30 - 50)/10 = -2
Therefore, the z-score for X = 30 is -2.
The z-score represents the number of standard deviations that a particular X value is away from the mean. Since the mean z-score is 0 and a positive z-score means that the X value is above the average.
For such more questions on standard deviation
https://brainly.com/question/24298037
#SPJ8
use the picture below to fill in the blanks
Answer:
Perimeter of base = 18 ft
Height = 7 ft
Base area = 12ft²
SA= 150 ft² *
Step-by-step explanation:
Perimeter of base = 8+5+5=18 ft
Height = 7 ft
Base area = 1/2x8x3=12ft²
SA= (8x7)+(12+12)+2(5x7)=56+24+70=150 ft²
*There are several different way to figure out the surface area, so I’m not sure exactly how they want it displayed. 150 is the answer though. Plus, I think there was supposed to be an addition sign between the first two parentheses.
Choose the fraction pair that is equivalent.
16/64 and 1/4
8/9 and 9/8
5/8 and 25/48
3/6 and 1/3
Answer:
16/64 and 1/4
Step-by-step explanation:
1/4 x 16/16 = 16/64
1 x 16 / 4 x 16 = 16/64
16/64 = 16/64
I’ll give brainliest
Find the area of the smaller sector.
Round to the nearest tenth.
500
7 1371
Area = [? ]ft2
Answer:
22.2
Step-by-step explanation:
Hello There!
This is the sector area formula
[tex]A=\frac{0}{360} (\pi r^2)[/tex]
where 0 = sector angle
and r = radius
The given sector has a measure of 50 degrees and a radius of 7.13
Knowing this information we plug it into the formula
[tex]A=\frac{50}{360} (\pi 7.13^2)\\\frac{50}{360} =0.1388888889\\7.13^2=50.8369\\50.8369\pi =159.7088316\\159.7088316*0.1388888889=22.18178216[/tex]
so we can conclude that the area of the sector is 22.18178216 ft²
finally we round to the nearest tenth
and get that the answer is 22.2
D. Write an original equation and solve.
Eight fewer than twice the sum of x and 4 is 10.
Answer:
2(x+4) - 8 = 10
Step-by-step explanation:
the sum of x and 4: x+4
twice the sum of x and 4: 2(x+4)
eight fewer than twice the sum of x and 4: 2(x+4) - 8
eight fewer than twice the sum of x and 4 is 10: 2(x+4) - 8 = 10
In which number does the digit 777 have a value that is 101010 times as great as the digit 777 in the number 0.9750.9750, point, 975?
Answer:
0.73
Step-by-step explanation:I use khan too 0.7 is 10 times as great as 0.07