Answer:
586
Step-by-step explanation:
If you mean 624-48=586
2. The service life of a battery used in a cardiac pacemaker is assumed to be normally distributed. A random sample of ten batteries is subjected to an accelerated life test by running them continuously at an elevated temperature until failure, and the follow ing lifetimes (in hours) are obtained: 25.5, 26.1, 26.8, 23.2, 24.2, 28.4, 25.0, 27.8, 27.3, and 25.7. a. The manufacturer wants to be certain that the mean battery life exceeds 25 h. What conclusions can be drawn from these data (use a= 0.05)? b. Construct a 90% two-sided confidence interval on mean life in the accelerated test.
Answer:
Kindly check explanation
Step-by-step explanation:
Assuming a normal distribution :
Sample (x) :25.5, 26.1, 26.8, 23.2, 24.2, 28.4, 25.0, 27.8, 27.3, 25.7
Null hypothesis : μ = 25
Alternative hypothesis : μ > 25
α = 0.05
Decision region :
Reject Null if :
t0 > t
t can be obtained from the t distribution table at : df = (n - 1) = 10 - 1 = 9 ; α = 0.05
Hence, t(0.05, 9) = 1.833
From the sample given ; t0
t0 = (m - μ) / (s /√n)
n = sample size = 10
s = sample standard deviation
m = sample mean
Using calculator :
25.5, 26.1, 26.8, 23.2, 24.2, 28.4, 25.0, 27.8, 27.3, 25.7
Sample mean(m) = 26
Sample standard deviation (s) = 1.624
t0 = (26 - 25) / (1.624 /√10) = 1.947
1.947 > 1.833
Hence, reject Null
B)
Confidence interval at 90% ; α = 0.1
m ± t(0.1/2 ; 9) * s/√n
m - t * s/√n ≤ μ ≤ m + t * s/√n
26 - 1.833 * (1.624/√10) ≤ μ ≤ 26 + 1.833 * (1.624/√10)
25.059 ≤ μ ≤ 26.941
determine the intercepts of the line
x- intercept (_,_)
y- intercept (_,_)
Answer:
x-intercept (-7.5, 0)
y-intercept (0, 5.5)
Hope this helps!
Find the area of the rectangle (Let h = 24 ft and w= 29 ft)
Answer:
The answer is 696 ft.
Step-by-step explanation:
When you multiply the formula (LxW) you get the answer to the equation.
Answer:
696 ft
Step-by-step explanation: Multiply both of them :D
need help ASAP!!!!!!
The first three terms of an arithmetic sequence are as follows.
- 11, - 16, - 21
Find the next term in the sequence.
Answer:
-26
Step-by-step explanation:
if given f(x)=2x+5 what is f(-10)
Solve for w.
3w+2w= 10
Simplify your answer as much as possible.
W =
Answer:
3w+2w= 10
5w= 10
w = 10/5
w = 2
Answer:
w = 2
Step-by-step explanation:
3w+2w= 10
Combine like terms
5w = 10
Divide each side by 5
5w/5 = 10/5
w = 2
Your research of competitors shows prices of $45, $78, $13, $125, and $66. If you throw out the
highest and lowest data points (outliers), what is the mean of the remaining prices?
Answer:
1. 63 or
2. 37.8
step-by-step explanation:
1. $125,$78, $66, $45, $13 take out $125 and $13 then add $78, $66, $45 and you get $189 then divided by 3 and you $63
2.$125,$78, $66, $45, $13 take out $125 and $13 then add $78, $66, $45 and you get $189 then divided by 5 and you $37.8
Answer:
ITS 63
Step-by-step explanation:
JUST DID DA TEST CUZ
14.7 divided by 2.2=
Answer:
6.68181818182
Step-by-step explanation:
Functionally important traits in animals tend to vary little from one individual to the next within populations, possibly because individuals who deviate too much from the mean have lower fitness. If this is the case, does variance in a trait rise after it becomes less functionally important? Billet et al. (2012) investigated this question with the semicircular canals (SC) of the three-toed sloth (Bradypus variegatus). The authors proposed that since sloths don't move their heads much, the functional importance of SC is reduced, and may vary more than it does in more active animals. They obtained the following measurements of the ratio of the length to width of the anterior SC in 6 sloths. Assume this represents a random sample. In other, more active animals, the standard deviation of this ratio is 0.09.
Answer:
The 95% confidence interval for the standard deviation is (0.14, 0.54).
Step-by-step explanation:
The complete data and question is:
Sloth CW Ratios ; {1.5 , 1.09 , 0.98 , 1.42 , 1.49 , 1.25}
The 95% confidence interval for the standard deviation of this data is < σ < (two decimals - include the leading zero) .
Solution:
Compute the sample standard deviation as follows:
[tex]\bar x=\frac{1}{n}\sum x=\frac{1}{6}\times 7.73=1.2883\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{6-1}\times 0.2387}=0.2185[/tex]
The (1 - α)% confidence interval for the variance is:
[tex]CI=\frac{(n-1)s^{2}}{\chi^{2}_{\alpha/2}}<\sigma^{2}<\frac{(n-1)s^{2}}{\chi^{2}_{1-\alpha/2}}[/tex]
Confidence level = 95%
⇒ α = 0.05
The degrees of freedom is,
df = n - 1 = 6 - 1 = 5
Compute the critical values of Chi-square:
[tex]\chi^{2}_{\alpha/2, (n-1)}=\chi^{2}_{0.025,5}=12.833\\\\\chi^{2}_{1-\alpha/2, (n-1)}=\chi^{2}_{0.975,5}=0.831[/tex]
*Use a Chi-square table.
Compute the 95% confidence interval for the variance as follows:
[tex]CI=\frac{(n-1)s^{2}}{\chi^{2}_{\alpha/2}}<\sigma^{2}<\frac{(n-1)s^{2}}{\chi^{2}_{1-\alpha/2}}[/tex]
[tex]=\frac{5\times (0.2185)^{2}}{12.833}<\sigma^{2}<\frac{5\times (0.2185)^{2}}{0.831}\\\\=0.0186<\sigma^{2}<0.2873\\\\=\sqrt{0.0186}<\sigma<\sqrt{0.2873}\\\\=0.1364<\sigma<0.5360\\\\\approx 0.14<\sigma<0.54[/tex]
Thus, the 95% confidence interval for the standard deviation is (0.14, 0.54).
There are 40 students in a class. The teacher gave each female student 5
counters and each male student 3 counters. After the distribution of the
counters, the teacher realized that the female students had 128 more counters
than the male students,
Thus the required number of male and female students are 9 and 31 respectively.
Mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
here,
Let the number of male students is x and the number of female students be y,
According to the question,
x + y = 40
x = 40 - y ----- (1)
Now,
again from the question,
5y = 3x + 128
3x = 5y - 128
from equation 1
3 (40 - y) = 5y -128
120 - 3y = 5y - 128
120 + 128 = 8y
8y = 248
y = 31
Now,
From equation 1
x = 40 - y
x = 40 - 31
x = 9
Thus the required number of male and female students are 9 and 31 respectively.
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In order to know that a graph shows a proportional relationship WITHOUT finding any y/x ratios or doing division, two conditions must be met. Name ONE of the two ways you know a graph is proportional JUST BY LOOKING AT IT. (You will come across another question that asks you to name the other condition, if you haven't already.) (10 points) please help
Answer:
I wish I've known, but try using Symbo-Lab or Math-Way. They help a lot.
Step-by-step explanation:
If m 24 = 35º, find m_2 and m23.
А
00
2
4
.
m22 =
m23 =
Answer:
m22 answer will be in your book only
Subtract.
1 2/5−(−3/5)
Enter your answer, in simplest form, in the box.
HELP PLEASE CYRIN RN :'( \_(-_-)_/
Find the product:
−5/3(−2/3)(−18)
A) −20
B) −35/3
C) 35/3
D) 20
Answer:
I got D. 20
Step-by-step explanation:
-5/3 times -2/3 equals 10/9
10/9 times -18 equals -20
Hope this helps dude ^-^
You want to go to the movies with your friends and your parents offer to pay for everyone.
If each movie ticket is $13.50 and you plan on splitting a giant popcorn and drink that cost
$19.95 total, what is the maximum number of tickets you can buy if your parents give you
$75?
Answer:
4 tickets
Step-by-step explanation:
1. make an equation representing the situation. x is the number of how many tickets you buy
13.5x + 19.95 = 75
2. subtract 19.95 from both sides
13.5x = 55.05
3. divide by 13.5 on both sides
x = 4.08
now, you can't buy 0.08 of a ticket, so you have to round to the nearest whole number, which in this case is 4.
Answer:
4 tickets
Step-by-step explanation:.
13.5x + 19.95 = 75
13.5x = 55.05
x = 4.08
Now, you have to round to the nearest whole number, which in this case is 4.
One number is 4 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 280, find the numbers. The three numbers are:
Answer: The first number is 30.
The second number is 120.
The third number is 130
Step-by-step explanation:
x + 4x + x+ 100 = 280
6x = 280-100
6x= 180
x = 30
Sophie went to the lake with her family. First, they spent 1 1/4
hours fishing. Then, they spent twice as much time swimming. How much time did they spend fishing and swimming in all?
Write your answer as a whole number, fraction, or mixed number.
Answer:
2
Step-by-step explanation:
Represent in Interval notation
Answer: [tex][5, \infty)[/tex]
On a keyboard, you would write [5, infinity)
The square bracket means "include this value" and a curved parenthesis means "exclude this value". We cannot include infinity as it is not a number, so we always use parenthesis with either infinity.
[tex]y \ge 5[/tex] is the same as [tex]5 \le y[/tex] which is also the same as [tex]5 \le y < \infty[/tex] which may help lead to set up the interval notation answer.
six times jason collection of books and one third of nathan collection add up to 134 books. one third of jason collection and nathans entire collection add up to 31 books
Answer:
j = 21 and n = 14
Step-by-step explanation:
we have the equations:
6j + n/3 = 134
j/3 + n = 31
54j + 3n = 1206
j + 3n = 93
53j = 1113
j = 21
(21)/3 + n = 31
7 + n = 31
n = 14
John has 6 pancils, 3 blue pens, 5 black pens, and 2 red pens in a cup on his desk Without looking, John pulls a writing utensil out of the cup. Enter the probability that John pulls out a pencil.
Answer:
john has a 6 out of 10 chance of picking a pencil
Answer:
P=37.5%
Step-by-step explanation:
Frequentist Probability
The probability of an outcome is defined as the frequency of the number of times the outcome occurs relative to the number of times that it could have occurred.
The equation to calculate the probability is:
[tex]\displaystyle P=\frac{f}{n}[/tex]
Where f is the number of favorable cases and n is the total cases.
John has in a cup of his desk:
6 pencils
3 blue+5 black+2 red pens=10 pens
Picking one of the utensils from the cup can be done in 16 different ways. That is the total number of cases n=16
The outcome of taking a pencil can be done in 6 ways. That is the number of favorable cases. f=6.
The probability is:
[tex]\displaystyle P=\frac{6}{16}[/tex]
Simplifying:
[tex]\displaystyle P=\frac{3}{8}[/tex]
Or expressed as a percentage:
P=3/8*100%
P=37.5%
PLZ HELP FAST looks easy
Answer:
1 is 125, 2 is 175, 3 is 225, 4 is 275.
Step-by-step explanation:
50 for one hour plus 75.
50+75=125
50+50+75= 175
50+50+50+75=225
50+50+50+50+75=275.
3/4+7/8 what is the value of the answere
Answer with step-by-step explanation:
3/4 converted into 8ths is 6/8. When you add up 6/8 + 7/8, you end up with the answer of 13/8
Hope this was helpful! (brainliest please)
Answer:
Step-by-step explanation:
3/4 + 7/8
Make them have common denominators:
3/4 = 6/8
so...
6/8 + 7/8 = 13/8
what is the answer? pls help
Answer:
There is no constant slope. I hope this helps!
Answer:
-3
Step-by-step explanation:
You can use the slop formula--
22-1 divided by 8-1 = 21/7 = 3
You can check by using any other two points and see if you get the same answer.
Hope this helps!
Identify the type of transformation in the following graphic and describe the change.
Answer:
The type of transformation is translation and the change can be described as a translation of 5 to the right.
Cherry cuts 6 pieces of tape, each 4/5 m long ,from a roll of tape 5m long . How many meters of tape are left in the roll?
The meters of tape left in the roll will be equal to 1/5 meters.
What are arithmetic operations?The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.
They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.
As per the information given in the question,
The total length of Tape = 5 m
Total number of pieces = 6
Length of each piece = 4/5 m
Then, the total length of the pieces will be,
6 × 4/5
= 24/5
Then, the amount of tape left in the roll will be,
= 5 - 24/5
= (25 - 24)/5
= 1/5
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How would I solve this question?
Answer:
A I think
Step-by-step explanation:
Solve 2x+3y-z=-4
3x+2y+2z=14
x -3z=-13
Answer:
1. x = -3/2 y+ 1/2z - 2
2. x = -2/3y + -2/3z + 14/3
3. x = 3z - 13
Step-by-step explanation:
solve for x
Need help please thanks
Answer:
the values of angle;
a=61
b=61
c=29
Answer: All of the angles combined are 180 degrees. Since b and its adjacent angle is 90 degrees, you would subtract 90-29, which gives you 61. b=61. You would then use both angle measures to determine the other two. You would need to find two values that add up to 90 degrees for c and a. Angle b+c would be equal to 90 degrees, and angle a and d (I used d to represent the 29 degree angle) would be equal to 90 degrees, equaling a total of 180 degrees. Angle a would be equal to 61, and angle c would be equal to 29. Hope this helps.
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Answer:
Answer
Ammmm did u just gave free points
5. Rebecca is 6 years older than three times Andrew's age. The sum of their ages is 18. How old is Rebecca?
Answer:
Rebecca is 18
Step-by-step explanation:
18/6-3=0