Answer: y=1/4+3
Step-by-step explanation:
1. The slope is 12
2. (6 - 2)/(12+4)= 4/16= 1/4
y - 2 = 1/4(x + 4)
y - 2 = 1/4x + 1
y = 1/4x + 3
the table shows the gallons filled in a pool over time (ASAP)
Answer:
125, 250, 500, 625
Step-by-step explanation:
As you can see, half of the pool is 500. 2 halves would make a whole, concluding the pool is 1000. Then for the 1/8, do 1000/8. Getting 125. 1000/4 would make it 250. And then taking the 125 from the earlier division of 8 and multiplying by 5 will get you 625. Hope this helps <3
determine the intercepts of the line
x- intercept (_,_)
y- intercept (_,_)
Answer:
x-intercept (-7.5, 0)
y-intercept (0, 5.5)
Hope this helps!
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.
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!
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.
Learn more about arithmetic here:
brainly.com/question/14753192
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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
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.
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:
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 ^-^
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.
LISTEN
Cal jogs from 10:28 AM until 11:15 AM. For about how long does Cal jog?
Answer:
47 minutes
Step-by-step explanation:
In elapsed time, it's better to make your problem more readable so it's easier to solve. Add 2 minutes into 10:28 so it turns into 10:30. Then add 30 minutes so it turns into 11:00 AM. Finally, add 15 minutes so it turns into the 11:15 you were looking for. When you combine the minutes allotted (2, 30, and 15) you get 47 minutes.
Your friend says the absolute value equation |3x+8|-9=-5 has no solution because the constant on the right side of the equation is negative. Is your friend correct?
Make sure to show the work and solution the problem, as well as the explanation.
Answer:
No, ur friend is not correct
| 3x + 8 | - 9 = -5 You have to get the absolute value (and everything in it) on one side of the equal sign, and everything else on the other side. So we have to get that -9 across the equal sign by adding 9 to both sides.
| 3x + 8 } = -5 + 9
| 3x + 8 | = 4 So that number is not negative anymore.
now u can set up ur 2 equations and solve for x, your 2 equations would be:
3x + 8 = 4 and 3x + 8 = -4
** If that -9 would not have been there, then ur friend would have been correct.
Hope this helps!!
Step-by-step explanation:
Graph y= -2x + 5. Help please.
Answer:
Step-by-step explanation:
Describe the parametric equations which traces the unit circle starting (-1,0) in a clockwise direction.
Step-by-step explanation:
There are several ways we can do this.
x = cos t, y = sin t, t ≥ 0 traces the unit circle in a counterclockwise direction starting at (1, 0).
To change the direction, we can multiply one of these by -1. Then choose an initial value of t so that the starting point is (-1, 0).
x = -cos t, y = sin t, t ≥ 0
x = cos t, y = -sin t, t ≥ π
Or, we can change the direction by switching the equations.
x = sin t, y = cos t, t ≥ 3π/2
We can also multiply both by -1:
x = -sin t, y = -cos t, t ≥ π/2
Of these four examples, I would say the first is the simplest and most straightforward, but all of them achieve the same result.
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:
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
3. After 6 weeks, who earned more money? How much more money?
Step-by-step explanation:
David earns $8 per hour. He works 40 hours each week. How much does he earn in 6 weeks? . After 6 weeks, who earned more money? How much more money?
he would earn 1,680 because if he works 40 hours per week when you divide by 7 cuz there a 7 days in a week he works 5 hours each day. then we multiply 5 with 8 and it's 40 so he earns 40 dollars per day then if week multiply 40 with 7 we get 280 and that's what he earns per week. then I came and tried to figure out how many days are in 6 weeks and I got 42 so then i came and multiplied the hours(5) which then gave me 210 then I multiped that (210) and 8 together and got 1,680
1.Michael earns $9 per hour. He works 28 hours each week. How much does he earn in 6 weeks?
so what i did was divide 28 by 7 the 7 was for the days and the 28 was for the hours so per day he works 4 hours and he earns 36 dollars per day .and then i came to know what the final answer was I came a figured out how many days are in 6 weeks and it's 42 so then I came and multiped the hours with the days which gave me 168 then I multiped that by the amount of money he earns per hour and it gave me 1,512 per 6 weeks
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
if given f(x)=2x+5 what is f(-10)
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.
What is the ratio 15 to 35 written as a fraction in lowest terms? 1/3 3/7 3/5 5/7
Answer:
3/7
Step-by-step explanation:
15 divided by 5 = 3
35 divided by 5 = 7
hope this helps
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
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
14.7 divided by 2.2=
Answer:
6.68181818182
Step-by-step explanation:
how to right equivalent ratios
Answer
A ratio is a comparison of two quantities by division. Ratios describe a part-to-part comparison or a part-to-whole comparison. Ratios are written three ways: as a fraction, with a colon, and with the word “to.” The ratio for quantity a to quantity b is : a to b, a over b, and a:b
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
If m 24 = 35º, find m_2 and m23.
А
00
2
4
.
m22 =
m23 =
Answer:
m22 answer will be in your book only