Answer:
We reject the null hypothesis, and accept the alternative hypothesis.
So, it means that the machine is under filling the bags
Step-by-step explanation:
Given
Null Hypothesis
[tex]H_0:\mu = 419[/tex] --- works correctly at 419g
Alternate Hypothesis
[tex]H_0:\mu < 419[/tex] --- under fills the bag
[tex]n =15[/tex] --- the sample
[tex]\bar x = 409[/tex] --- the mean
[tex]\sigma = 22[/tex] --- the standard deviation
[tex]\alpha = 0.05[/tex] --- the significance level
Required
What is the decision rule
Since n is less than 30, we make use of t test
[tex]t = \frac{\bar x - \mu}{\sigma/\sqrt n}[/tex]
[tex]t = \frac{409 - 419}{22/\sqrt{15}}[/tex]
[tex]t = \frac{-10}{22/ 3.87}[/tex]
[tex]t = \frac{-10}{5.58}[/tex]
[tex]t = -1.792[/tex]
Calculate df
[tex]df = n-1[/tex]
[tex]df = 15-1[/tex]
[tex]df = 14[/tex]
Calculate the p value from the Student's t-distribution at df = 14 and [tex]t = -1.792[/tex]
[tex]p =0.047[/tex]
Given that: [tex]\alpha = 0.05[/tex]
Since [tex]p < \alpha[/tex]
So, it means that the machine is under filling the bags
Do you guys now the answer I need it ASAP please
Answer:I think that it would be either b or c
Step-by-step explanation:
mareli rides her dirt bike at 20 meters/second for 500 seconds, how far did she ride?
Answer:
25 meters
Step-by-step explanation:
500/20 = 25
25 meters
Hope that helps!
Answer:
10,000 meters
Step-by-step explanation:
20*500=10,000
Express each decimal to fraction 0.8255555…
Answer:
08255555/10000000 this is the answer
Answer:
0.8255555 = [tex]\frac{33}{40}[/tex]
Step-by-step explanation:
Showing the work
Rewrite the decimal number as a fraction with 1 in the denominator
0.825 = [tex]\frac{0.825}{1}[/tex]
Multiply to remove 3 decimal places. Here, you multiply top and bottom by 103 = 1000
[tex]\frac{0.825}{1}[/tex] × [tex]\frac{1000}{1000}[/tex] = [tex]\frac{825}{1000}[/tex]
Find the Greatest Common Factor (GCF) of 825 and 1000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 25,
[tex]\frac{825/25}{1000/25}[/tex] = [tex]\frac{33}{40}[/tex]
Therefore
X= [tex]\frac{33}{40}[/tex]
In conclusion,
0.825555 = [tex]\frac{33}{40}[/tex]
Hope it helps
Please mark me as the brainliest
Thank you
According to survey data, the distribution of arm spans for males is approximately Normal with a mean of 71.4 inches and a standard deviation of 3.1 inches. a. What percentage of men have arm spans between 66 and 76 inches? b. A particular professional basketball player has an arm span of almost 89 inches. Find the z-score for this person's arm span. What percentage of males have an arm span at least as long as this person?
Answer:
a) 89.97% of men have arm spans between 66 and 76 inches.
b) The z-score for this person's arm span is 5.68. 0% of males have an arm span at least as long as this person
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 zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
Mean of 71.4 inches and a standard deviation of 3.1 inches.
This means that [tex]\mu = 71.4, \sigma = 3.1[/tex]
a. What percentage of men have arm spans between 66 and 76 inches?
The proportion is the pvalue of Z when X = 76 subtracted by the pvalue of Z when X = 66. The percentage is the proportion multiplied by 100.
X = 76
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{76 - 71.4}{3.1}[/tex]
[tex]Z = 1.48[/tex]
[tex]Z = 1.48[/tex] has a pvalue of 0.9306
X = 66
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{66 - 71.4}{3.1}[/tex]
[tex]Z = -1.74[/tex]
[tex]Z = -1.74[/tex] has a pvalue of 0.0409
0.9306 - 0.0409 = 0.8997
0.8997*100% = 89.97%
89.97% of men have arm spans between 66 and 76 inches.
b. A particular professional basketball player has an arm span of almost 89 inches. Find the z-score for this person's arm span. What percentage of males have an arm span at least as long as this person?
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{89 - 71.4}{3.1}[/tex]
[tex]Z = 5.68[/tex]
The z-score for this person's arm span is 5.68.
Z = 5.68 has a pvalue of 1
1 - 1 = 0
0% of males have an arm span at least as long as this person
The percentage of men who have arm spans between 66 and 76 inches is 89.97% and the percentage of males who have an arm span at least as long as this person is 0%.
Given :
According to survey data, the distribution of arm spans for males is approximately Normal with a mean of 71.4 inches and a standard deviation of 3.1 inches.
a) The formula of z-score is given below:
[tex]\rm Z = \dfrac{X-\mu}{\sigma}[/tex]
where [tex]\mu[/tex] is the mean and [tex]\sigma[/tex] is the standard deviation.
When X = 66 the formula of z-score becomes:
[tex]\rm Z = \dfrac{66-71.4}{3.1}[/tex]
Z = -1.74
The p-value regarding the (Z = -1.74) is 0.0409.
When X = 76 the formula of z-score becomes:
[tex]\rm Z = \dfrac{76-71.4}{3.1}[/tex]
Z = 1.48
The p-value regarding the (Z = 1.48) is 0.9306.
Now, the percentage of men who have arm spans between 66 and 76 inches is:
= (0.9306 - 0.0409) [tex]\times[/tex] 100 %
= 89.97%
b) Now, at X = 89 the formula of z-score becomes:
[tex]\rm Z = \dfrac{89-71.4}{3.1}[/tex]
Z = 5.68
The p-value regarding the (Z = 5.68) is 1.
So, the percentage of males who have an arm span at least as long as 89 inches is:
= (1 - 1) [tex]\times[/tex] 100 %
= 0%
For more information, refer to the link given below:
https://brainly.com/question/13299273
Can anyone help me on this please
Answer:
y = x - 8
Step-by-step explanation:
y = mx + b
M is your slope, 1. 1x can be rewritten as x.
Your Y intercept is B, therefore -8.
y = x - 8. When you plug in the numbers.
An element with
mass 510 grams decays by 26.3% per minute. How much of the
element is remaining after 7 minutes, to the nearest 10th of a gram?
Answer:
60.2 grams is remaining after 7 minutes.
Step-by-step explanation:
Exponential equation for amount of substance:
The exponential equation for the amount of a substance is given by:
[tex]A(t) = A(0)(1-r)^t[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal, and t is the time measure.
An element with mass 510 grams decays by 26.3% per minute.
This means that [tex]A(0) = 510, r = 0.263[/tex]
So
[tex]A(t) = A(0)(1-r)^t[/tex]
[tex]A(t) = 510(1-0.263)^t[/tex]
[tex]A(t) = 510(0.737)^t[/tex]
How much of the element is remaining after 7 minutes?
This is A(7). So
[tex]A(7) = 510(0.737)^7 = 60.2[/tex]
60.2 grams is remaining after 7 minutes.
The question that is asked...
The tip of a 8 cm minute hand of a clock sweeps out circular arcs.
What is the length of the arc made by the tip of the minute hand between 3:12 and 3:32?
Use 3.14 for pi. Round your answer to the nearest hundredth.
Enter your answer in the box.
Answer:
16.75
Step-by-step explanation:
20/60=x/360
x=120 degree angle
120/360=x/2pi8
1/3=x/16pi
16pi/3=x
x=16.75 arc length
SOMEONE PLEASE ANSWER AND EXPLAIN I’LL MARK BRAINLIEST THANK YOU
Answer:
20 visits.
Step-by-step explanation:
Fitness Universe has a 1 time payment of $50, and each visit will cost $5.50
Non-members pay $8 per visit. Let each visit be signified by the variable, v. Set the equation:
5.50v + 50 = 8v
Isolate the variable, v. Note the equal sign, what you do to one side, you do to the other. Subtract 5.50v from both sides:
5.50v (-5.50v) + 50 = 8v (-5.50v)
50 = 8v - 5.50v
50 = 2.50v
Isolate the variable, v. Divide 2.50 from both sides:
(50)/2.50 = (2.50v)/2.50
v = 50/2.50
v = 20
Stuart must visit 20 times to break even, in which it will become cheaper after the 20th visit.
man drove his car a distance of 315 miles in 5 hours. If continuing at this rate is possible, he will travel ____ miles in 9 hours.
Answer:
567
Step-by-step explanation:
Please mark brainliest
Answer:
567
Step-by-step explanation:
ILL MARK BRAINLIEST!!! PLS HELP!!! A car purchased for $18,000 depreciates annually at a rate of 5%.
What will be the approximate value of the car in the 10th year?
Answer:
Step-by-step exlanation:
What you do is $18,000 x 5% which is 900 and then you do 900 x 10 = 9000!
divide 270 in the ratio 3:2:1
3 + 2 + 1 = 6
270 ÷ 6 = 45
45 × 3 = 135
45 × 2 = 90
45 × 1 = 45
3 : 2 : 1
135 : 90 : 45
Answer this for 10 points
Answer:
D) -2
Step-by-step explanation:
Slope = -3
(1, -9)
y - y1 = m(x - x1)
y + 9 = -3(x - 1)
y + 9 = -3x + 3
y = -3x - 6
y = -3x - 6
0 = -3x - 6
6 = -3x
x = -2
Finnafer loves bacon. When she cooks bacon, 60% of the slices are think. How many slices are there if 36 were thick? Which equation can be used to solve this problem?
Answer:
74
Step-by-step explanation:
Answer:
its 0.60(36)
Step-by-step explanation:
3.1 Simplify the following ratios:
3.1.1 500g: 3 kg
- 15
Answer:
1g:6g-15
Step-by-step explanation:
Condense the log equation: 4 log x + log y - 5 log z
Answer:
The condensed log equation is: [tex]\log{\frac{x^4y}{z^5}}[/tex]
Step-by-step explanation:
We use these following logarithm properties to solve this question:
[tex]a\log{x} = \log{x^a}[/tex]
[tex]\log{a} + \log{b} = \log{ab}[/tex]
[tex]\log{a} - \log{b} = \log{\frac{a}{b}}[/tex]
In this question:
[tex]4\log{x} = \log{x^4}[/tex]
[tex]5\log{5} = \log{z^5}[/tex]
So
[tex]4\log{x} + \log{y} - 5\log{z}[/tex]
Becomes:
[tex]\log{x^4} + \log{y} - \log{z^5}[/tex]
Now applying the addition and subtraction properties, we have:
[tex]\log{\frac{x^4y}{z^5}}[/tex]
The condensed log equation is: [tex]\log{\frac{x^4y}{z^5}}[/tex]
Please answer ASAP this is due tomorrow
Answer:
227.08in^2
You want to find the surface area for this problem. SA=2lw+2lh+2hw
Step-by-step explanation:
L=2.5
W=7.4
H=9.6
SA=2lw+2lh+2hw
SA=2(2.5x7.4)+2(2.5x9.6)+2(9.6x7.4)
SA=37+142.08+48
SA=227.08in^2
What round 3\7 to is closest
how DO I DELETE THIS ANSWER
Quadrilateral RUST has a vertex at R(2,3). What are the coordinates of R' after dilation by a scale factor of 3, centered at the origin, followed by the translation (x,y)->(x,y - 1)?
Answer: it’s (6,8)
Step-by-step explanation: I took the test
How many and what type of solution(s) does the equation have?8p^2=24p−10
Answer:
2 real solutionsStep-by-step explanation:
to understand thisyou need to know about:discriminantPEMDAStips and formulas[tex]D=b^{2}-4ac[/tex]D>0 (2 real solutions)D=0 (1 real solution)D<0 (2 imaginary solutions) or (no real solutions)let's solve:move left hand side expressions to right hand side and change its sign:8p²-24p+10=0divide both sides by 2 :4p²-12p+5=0the quadratic equation standard form is
ax²+bx+c=0therefore we get
a=4b=-12c=5-------------------------------
substitute the value of a,b and c into the discriminant: D=-12²-4.4.5simplify square:144-4.4.5simplify multiplication:144-80simplify substraction:64since we got D>0
therefore
the quadratic equation has 2 real solutions
Please need help with this one
Answer:
y - 7 = 1/2(x - 7)
Step-by-step explanation:
Point slope form is y - y1 = m (x - x1)
So find m = y2 - y1/ x2 - x1, so m = -1 - 7 / -9 - 7, m = -8 / -16 so m = 1/2
Then sub your (7,7) so y - 7 = 1/2(x - 7)
Please guys help me please no links
Answer:
it's F.
Step-by-step explanation:
i used my calculator. just trust me
Which of the following choices lists the values of the side longths of a triangle with 45-45-90 degree angles and a hypotonuso - 247? Need help
Answer:
D 12rad2 12rad2 24
Step-by-step explanation:
Solve for x. Round your answer to the nearest tenth. Remember, if your solving for the angle x, you must use the inverse function
Answer:
x ≈ 21.36
Step-by-step explanation:
sin31 = 11/x
xsin31 = 11
x = 11/sin31 ≈ 21.36
state three (3) uses of graphs
The proportion of California residents who reported insufficient rest or sleep during each of the preceding 30 days is 8.0%, while this proportion is 8.8% for Oregon residents. These data are based on simple random samples of 11,545 California and 4,691 Oregon residents.
(a) Conduct a hypothesis test to determine if these data provide strong evidence the rate of sleep deprivation is different for the two states.
(b) It is possible the conclusion of the test in part (a) is incorrect. If this is the case, what type of error was made?
Step-by-step explanation:
We start by stating the null hypothesis
H0: p1 = p2
No difference is existent
H1: p2 not equal to p2
There is a difference
We find the z statistic using microsoft excel or using the formula in the attachment
= -1.68
From the normal table, p value = 0.099
The p value is greater than 0.05 so we fail to reject the null hypothesis and conclude there is no difference
B. If answer in part a is incorrect then we have made a type ii error. A type 2 error occurs when we accept a false null hypothesis.
Dara pinkston Recorded her house and expenses for a month of August mortgage payment was 347.90Insurance $17 Texas $84 electricity $64.40 phone service $33.50 fuel $98.25 water $17.44 in repairs $79.87 .Her monthly take-home pay is 2150 what’s her total money coast?
Answer:
the total monthly cost is $742.36
Step-by-step explanation:
The computation of the total monthly cost is shown below:
= Mortgage payment + insurance + taxes + electricity + phone service + fuel + water + repairs
= $347.90 + $17 + $84 + $64.40 + $33.50 + $98.25 + $17.44 + $79.87
= $742.36
Hence, the total monthly cost is $742.36
pls someone anwser quick
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 100 miles per hour. The westbound train
travels at 90 miles per hour. How long will it take for the two trains to be 304 miles apart? ( this is timed plz someone help)
Solving for the elapsed time
distance traveled = (speed of first train + speed of second train) * elapsed time
280 miles = (95 mph + 105 mph) * elapsed time
280 miles = 200 mph * elapsed time
elapsed time = 280 miles / 200 mph
elapsed time = 1.4 hours
elapsed time = 1 hour and 24 minutes
It will take 1 hour and 24 minutes for the two trains to be 280 miles apart.
GUYS, I KNOW THIS IS A LOT BUT BECAUSE I HAD NO ELECTRICITY I WAS UNABLE TO DO IT AND NOW I'M BEHIND. PLS HELP! I'M RUNNING OUT OF POINTS!
Answer:
Hey! I'll only help with a few..
Step-by-step explanation:
2. 2c(7c+1)
3. The expression is not factorable with rational numbers.
4. 2x^3y^2(4-11 x^2y^4)
Hope this helps!
Have a nice day!♥