Answer: (97.63, 99.77)
Step-by-step explanation:
Given the data:
99.6 99.7 97.9 98.6 97.7
Using calculator, we can obtain the mean and standard deviation of the sample data:
Mean(m) = 98.7
Standard deviation = 0.93
Sample size (n) = 5
Using the relation to find confidence interval :
Mean ± Zcrit * (s/√n)
Zcrit at 99% = 2.576
98.7 ± 2.576 * (0.93 / √5)
Lower limit : 98.7 - (2.576 * 0.4159086) = 97.6286194464 = 97.63 ( 1 decimal place)
Upper limit : 98.7 + (2.576 * 0.4159086) = 99.7713805536 = 99.77 ( 1 decimal place)
(97.6, 99.8)
What is the 51st term of the arithmetic sequence 29,9,-11
Answer:
-951
Step-by-step explanation:
an=a1+(n−1)d
\begin{gathered}29 = a_1 + (1-1)d\\29 = a_1\\9 = 29 + (2-1)d\\9 = 29 + d\\d = -20\\a_n = 29 -20 (n-1)\\a_n = 29 - 20n+20\\a_n = -20n + 49\\\\a_51 = -20(51) + 49 = -951\end{gathered}29=a1+(1−1)d29=a19=29+(2−1)d9=29+dd=−20an=29−20(n−1)an=29−20n+20an=−20n+49a51=−20(51)+49=−951
The 51st term of the arithmetic sequence 29,9,-11 is -971 or a(51) = -971.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
It is given that:
The sequence is:
29, 9, -11
The above sequence represents an arithmetic sequence:
The common difference d = 9 - 29
d = -20
The first term a = 29
Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity, approaching either infinity or -infinity.
The nth term of the AP:
a(n) = a + (n-1)d
a(n) = 29 + (n - 1)[-20]
a(n) = 29 -20n +20
a(n) = 29 -20n +20
a(n) = 49 - 20n
Plug n = 51
a(51) = 49 - 20(51)
a(51) = -971
Thus, the 51st term of the arithmetic sequence 29,9,-11 is -971 or a(51) = -971.
Learn more about the sequence here:
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Solve the system of equations.
- 52 + 2y = 9
y=73
T =
y =
Show Calculator
Step-by-step explanation:
(1 point)
No, there isn't a more efficient way to solve this system.
Yes, a more efficient way is to multiply the first equation by 4, add to eliminate y, then solve for x.
Yes, a more efficient way is to multiply the first equation by −4, add to eliminate y, then solve for x.
Yes, a more efficient way is to multiply the first equation by −4, add to eliminate x, then solve for y.
Which is a common denominator for 3/7 and 1/3? 21, 10, 9, 7
Answer:
a common denominator for 3/7 and 1/3 is 21
Find g(x), where g(x) is the reflection across the y-axis of f(x)x.
Write your answer in the form a(x- h) + k, where a, h, and k are integers.
g(x)=
I'll send you the picture for the question
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Answer:
cool
Step-by-step explanation:
Meredith borrows 12560 and pays 2 percent simple interest each year for 4 years what is the total amount of interest that she will pay on the loan
Answer:
$13564.8
Step-by-step explanation:
Step one:
given data
principal= $12560
rate= 2%= 0.02
time= 4years
Required:
the simple interest
Step two:
the expression for the simple interest is
A= P(1+rt)
substitute
A=12560(1+0.02*4)
A=12560(1+0.08)
A=12560(1.08)
A=13564.8
$13564.8
it's C (11,555.20)
now have a nice day guys
IF I GET AN ANSWER IN 10 MIN UR VOTED BRAINLIEST
whats the best way to remember whether a number is positive or negative when adding subtracting multiplying and dividing?
Adding and subtracting with negative numbers
First, recognize that adding and subtracting are, from one viewpoint, the same thing. Subtracting a number is the same thing as adding the negative of that number. For example, 4 – 12 is the same as 4 + –12 (which, because the order of terms doesn't matter with addition, is the same as –12 + 4). With that in mind, here are the rules for adding with negative and positive numbers:
If both numbers are positive, then the answer is positive.
If both numbers are negative, then the answer is negative.
If the numbers have different signs, the answer takes the sign of the higher number.
Subtracting a negative number is the same as adding the positive of that number. For example, 5 – –4 is the same as 5 + 4.
Multiplying and dividing with negative numbers if the numbers have different signs, the answer is negative.
Jonathan went shopping for a new camera. The listed price of the camera was $43, but the price with tax came to 46.87. Find the percent sales tax
Answer:
x = 8,25%
Step-by-step explanation:
46,87 - 43 = 3,87
$46,87 ----- 100%
$3,87 ------ x
46,87x = 100 . 3,87
x = 387 / 46,87
x = 8,25%
Find the value of X
Answer:
7
Step-by-step explanation:
Since the smaller triangle is similar to the larger, then its' sides are in the same proportion. So:
1/2=2x-6/16
Then:
4x-12=16
4x=28
x=7 ........................
Can you help me please
find x. please help
Answer: 29
Step-by-step explanation: 180-146= 34-5 29.
Answer:
[A] 29
Explanation:
Equation: 180 = 146 + (x + 5)
The line adds up to 180, so we need to find what x is180 = 146 + (x + 5)
Switch Sides
146 + (x + 5) = 180
Remove Parenthesis
146 + x + 5 = 180
Group Like Terms
x + 146 + 5 = 180
Add: 146 + 5 = 151
x + 151 = 180
Subtract 151 From Each Side Of Equation
x + 151 - 151 = 180 - 151
x = 29
Would appreciate some help first to answer gets brainliest
What is the quotient of 1/10 and 9/10
Answer:
1/9 = 0.1111111
Step-by-step explanation:
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34 Select the correct answer. Martin is ordering DVDs online. Each DVD is priced at $8.50. The website also charges a flat fee of $5.00 for shipping and handling for any size order. If Martin decides to spend no more than $56, how many DVDs can he buy?
look at pic
Answer:
i think letter d
Step-by-step explanation:
i hope you know the answer
Help guys, I’m sure it’s easy for y’all
Answer:
(x, y) -------- ( -x,-y)
Rule : Rotation center (0,0) , angle of rotation 180° or -180°
Step-by-step explanation:
The vertices of the object and image have coordinates at ;
D(-4,2), --------D'( 4,-2 ),
E (-1,3), --------E'( 1,-3 ),
F (-1,-3),--------F'(1,3),
G (-3,-4),------G'( 3,4 ),
You notice that after the rotation ;
( x, y )-------change to (-x,-y),
This rule is rotation center origin angle 180°
Jessica, Hans, and Tom sent a total of 95 text messages during the weekend. Tom sent 3 times as many messages as Hans. Jessica sent 10 more messages than Hans. How many messages did they each send?
Answer: Manal = 27 messages
Elisa = 17 messages
Abdulrahman = 51 messages
Step-by-step explanation:
Let tye number of messages that Manal sent be x.
Since Eissa sent 10 fewer messages than Manal, this will be:
= x - 10
Abdulrahman sent 3 times as many messages as Eissa. This will be:
= 3(x - 10) = 3x - 30
We are also told that Manal, Abdulrahman, and Eissa sent a total of 95 text messages. This will be:
x + (x - 10) + (3x - 30) = 95
x + x - 10 + 3x - 30 = 95
x + x + 3x - 10 - 30 = 95
5x - 40 = 95
5x = 95 + 40
5x = 135
x = 135/5
x = 27
Manal = x = 27
Elisa = x - 10 = 27 - 10 = 17
Abdulrahman = 3x - 30 = 3×27 - 30 = 81 - 30 = 51
Manal = 27 messages
Elisa = 17 messages
Abdulrahman = 51 messages
Find the x- and y-intercepts of the parabola y=−3x^2−5x+6
The x-intercepts are x = 2/3 and x = 3.
The y-intercept is (0, 6).
What is a parabola?A parabola is an equation of a curve, such that any point on the curve is equidistant from a fixed point called the focus and a fixed line called the directrix of the parabola.
The equation of a parabola:
y = a(x - h)² + k
we have,
To find the x-intercepts, we set y to zero and solve for x:
0 = −3x^2 − 5x + 6
We can factor this quadratic equation:
0 = (−3x + 2)(x − 3)
x - 3 = 0
x = 3
And,
-3x + 2 = 0
-3x = -2
x = 2/3
So the x-intercepts are x = 2/3 and x = 3.
To find the y-intercept, we set x to zero and evaluate y:
y = −3(0)² − 5(0) + 6
y = 6
So the y-intercept is (0, 6).
Thus,
The x-intercepts are x = 2/3 and x = 3.
The y-intercept is (0, 6).
Learn more about parabola here:
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I need all of these please
Answer:
Step-by-step explanation:
this is the solve for the first q. only sorry
Joan is buying a new car for a total of $23,150. If she makes equal payments for 48
months, about how much is Joan's monthly payment?
Answer:
About $482
Step-by-step explanation:
23150÷48=482.29
Round 482.29 to 482 if u want
What is the value of x in the equation X=-45?
O-75
O -27
O 27
O 75
Answer:b
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
100 points! help please I need this
Answer:
5/4 is rational , 100 square root is irrational , 7.3 rational , 0.00247 is rational , 4/9 square root is irrational ,2/24 square root is irrational and 0.01 is rational :)
Use the decimal model to find the product. And how do I fill in the hundreds blocks?
Answer:0.90
Step-by-step explanation: For #3 multiply 2x0.45=0.90.
Then you use the modle then color in the 90 squares (so color in 9
columns )
Help what is 2v+5(3v+4
explanation:
There isn't an exact way to answer this problem. Is there more to the question? If not, I am unable to answer it for you.
Which of the following is not a unit rate?
2:1
9:7
4.1
6.1
Answer:
B is the correct answer
Step-by-step explanation:
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What point would represent the time it took to walk 7 1/2 miles?
Answer:
Miles walked 7 time 2.5 hours
This symbol means that both sets could have the same elements. (A ⊆ B)
True
False
Answer:
true
Step-by-step explanation:
because it is
Answer:
True
Step-by-step explanation:
The new owners of Bluegrass Natural Foods, Inc., have hired you to help them diagnose and cure problems that the company has had in maintaining adequate liquidity. As a first step, you perform a liquidity analysis. You then do an analysis of the company’s short-term activity ratios. 3
Your calculations and appropriate industry norms are listed.
Current ratio bluegrass 4.5 industry norms 4.0
Quick ratio bluegrass 2 industry norms 3.1
Inventory turnover bluegrass 6 industry norms 10.4
Average collection period bluegrass 73 days industry norms 52 days
Average payment period bluegrass 31 days industry norms 40 days
a. What recommendations relative to the amount and the handling of inventory could you make
to the new owners?
b. What recommendations relative to the amount and the handling of accounts receivable could
you make to the new owners?
c. What recommendations relative to the amount and the handling of accounts payable could you
make to the new owners?
Answer:
I don't understand make is more simplify
write an expression equal to
[tex] {7}^{3} [/tex]
Answer:
7×7×7
Explanation:
[tex] {7}^{3} = 7 \times 7 \times 7[/tex]
When a number is raised to a power, it means that the number is multiplying itself as many times as the number written as the power.
11) Select the best answer.
How many significant figures does the following number have?
0.056
4
5
3
2
1