Answer:
the answer should be 18.5
what is (7/4x)+(-3/2y) simplified
Answer:
0.25(7x-6y)
Step-by-step explanation:
A random sample of 25 fields of spring wheat has a mean yield of 27.6 bushels per acre and standard deviation of 5.69 bushels per acre. Determine the 98% confidence interval for the true mean yield. Assume the population is approximately normal.Step 1 of 2:Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.Step 2 of 2:Construct the 98% confidence interval. Round your answer to one decimal place.
Answer:
Step 1 z(c) = 2,323
CI = ( 25 ; 30,2 )
Step-by-step explanation:
Normal Distribution:
Sample size n = 25
Sample mean μ = 27,6
Sample standard deviation s = 5,69
CI = 98 % then α = 1 - 0,98 α = 0,02 α/2 = 0,01
From z-table we don´t find z (score) for 0,01 directly, we need to interpolate between z = 2,32 and z = 2,33
For 0,0099 z score is 2,33
for 0,0102 z score is 2,32
Δ 0,0003 0,01
Then by rule of three
for Δ 0,0003 ⇒ 0,01
for Δ (0,01- 0,0102) ⇒ x
0,0003 0,01
0,0002 x
x = 0,0067
then z (score for 0,01) = 2,33 - 0,0067 z(c) = 2,3233
round to three decimal places z(c) = 2,323
Step 2:
CI = μ ± z(c) * s/√n ⇒ 27,6 ± (2,323 * 5,69)/5
CI = 27,6 ± 2,6436
round to one decimal place
CI = 27,6 ± 2,6
CI = ( 25 ; 30,2 )
For the point P (8,-15) and Q (13,-10) , find the distance d(P,Q) and the coordinates of the midpoint M of the segment PQ. Find the distance
The length and midpoint of segment PQ, where the coordinate of P is (8, -15), and Q is (13, -10) are;
Length of PQ is 5•√2Midpoint of PQ Is (11.5, -12.5)Which method can be used to find the length and midpoint of PQ?The given points are;
P(8, -15) and Q(13, -10),
Part A:
The distance between the points P and Q, which may be expressed as d(P, Q), is found as follows;
d(P, Q) = √((13-8)²+(-10-(-15))²) = √(50) = 5•√2
The length of PQ is therefore;
d(P, Q) = 5•√2Second part;
The midpoint of segment PQ is obtained from the midpoint formula as follows;
[tex](x_m, y_m) = \left(\frac{x_1 + x_2}{2}, (\frac{y_1 + y_2}{2} \right)[/tex]
The midpoint, [tex](x_m, y_m) [/tex] of PQ is therefore;
[tex](x_m, y_m) = \left(\frac{8+13}{2}, \frac{(-15) + (-10)}{2} \right) = \left(11.5, -12.5\right) [/tex]
The coordinates of the midpoint of segment PQ is (11.5, -12.5)
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what is the Mean Median Mode 1) 81,83,44,91,40
Answer:
67.8 is the mean
81 is the median.
There is no mode in this set.
Step-by-step explanation:
Mean is the average.
Median is the middle number.
Mode is the number that appears the most.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
What does k represent in the equation y=kx
A- constant of proportionality
B- dependent variable
C- Krispy Kreme X
D- independent variable
Answer:
D= Independent variable
Step-by-step explanation:
Help I give brain help please
Answer:
x > 3
Step-by-step explanation:
180x > 540
x > 540/180
x > 3
B
LL
E
C
In the diagram, wirich angle is part of a linear pair and
part of a vertical pair?
OZBFC
OZCFG
OZGFD
Ο LEFA
Answer:
∠EFA
Step-by-step explanation:
The diagram shows several rays starting at point F. There are 2 sets of rays that are opposite to each other ie their angles add up to 180°
These are
FD and FA
FB and FE
You can ignore the other two rays since they do not have any opposite rays and therefore do not figure in a linear relationship
Ignoring FG and FC we get the equivalent of two lines crossing each other at point F
We can eliminate any angles that contain C and G
So we can eliminate ∠BFC, ∠CFG and ∠GFD
Which leaves the last choice as the only option
So answer is ∠EFA
∠EFA is linearly paired with ∠BFD since they lie on the same straight line and the measure of sum of their angles is 180°
∠EFA also is vertically paired with ∠BFD since these angles are opposite each other
find the sum to infinity
Answer:
-7/27
Step-by-step explanation:
-14/54
Hope this helped :)
Use the original price and the markup to find the retail price.
Original price: $40; Markup: 12.5%
41 dollarsStep-by-step explanation:
help meeeeeeeeeeeeee
Answer:
$12.00
Step-by-step explanation:
Divide 504.00 by 42 hours
504/42 = 12
He earned $12 per hour
HELP ME ANYONE plzz
Step-by-step explanation:
Hey there!
See explanation in picture!
Hope it helps...
6+x is an example of
The complete statement is that 6+x is an example of an expression
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine the example of the given parameter?The parameter is given as
6 + x
The above parameter has the following properties:
VariablesCoefficients andOperatorsRecall that expressions are mathematical statements that are represented by variables, coefficients and operators
Hence, the complete statement is that 6+x is an example of an expression
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if the entrance ramp has an elevation of 15° with the vertical lift is 28 feet. what is the distance up the ramp?
Solve for x. 0.5(5 - 7x) = 8 - (4x - 6)
What are the like terms in the following expression: 5a+2b-3a *Write your answer with one term, comma, the next. no spaces. For example: a,b
a is the only like term in the expression.
78 * 5 i need the answer now pls.
a muffin recipe calls for 2/5 tablespoon of vanilla extract for 6 muffins. Aria is making 24 muffins. How much vanilla extract does she need?
Answer:
1 and 3/5
Step-by-step explanation:
Answer:
360 tablespoons.
Solve for x
2|x-1|=1/2x+8
Answer:
x = 20/3 or x = -12/5
Step-by-step explanation:
Solve for x over the real numbers:
2 abs(x - 1) = x/2 + 8
Divide both sides by 2:
abs(x - 1) = 1/2 (x/2 + 8)
Split the equation into two possible cases:
x - 1 = 1/2 (x/2 + 8) or x - 1 = 1/2 (-x/2 - 8)
Expand out terms of the right-hand side:
x - 1 = x/4 + 4 or x - 1 = 1/2 (-x/2 - 8)
Subtract x/4 - 1 from both sides:
(3 x)/4 = 5 or x - 1 = 1/2 (-x/2 - 8)
Multiply both sides by 4/3:
x = 20/3 or x - 1 = 1/2 (-x/2 - 8)
Expand out terms of the right-hand side:
x = 20/3 or x - 1 = -x/4 - 4
Add x/4 + 1 to both sides:
x = 20/3 or (5 x)/4 = -3
Multiply both sides by 4/5:
Answer: x = 20/3 or x = -12/5
do this problem using the quadratic equation formula! (using the formula I did oh yes also please correct my number 1 answer)
1.x²+7x+12=0
2.x²-12x+21=0
3.18+6y-y²=0
4.3x²+14×+15=0
5.5x²-18x+12=0
The required answers for the given questions is question are 1) x = -4, 2) x = 6 - √15, 3) x = 3 + 3√3, 4) x = -3, and 5)x = -9 - √21 / 5
The quadratic Equation formula is x = -b ± √(b² - 4ac) / 2a
1. x² + 7x + 12 = 0
By using the above formula
Here a = 1, b = 7, c = 12
x = -7 ± √(7² - 4*1*12) / 2*1
x = -7 ± √(49 - 48) / 2
x = -7 ± √1 / 2
x = -7 ±1 /2
x = -7+1 /2 x = -7 - 1 / 2
x = - 6 / 2 x = -8 / 2
x = -3 x = -4
2) x²-12x+21=0
By using the above formula
Here a = 1, b = -12, c = 21
x = -(-12) ± √((-12)² - 4*1*21) / 2*1
x = 12 ± √(144 - 84) / 2
x = 12 ± √60 / 2
x = 12 ±2√15 /2
x = 12 + 2√15 /2 x = 12 - 2√15 / 2
x = 6 + √15 x = 6 - √15
3. 18+6y-y²=0
By using the above formula
Here a = -1, b = 6, c = 18
x = -6 ± √((6² - 4*(-1)*18) / 2*(-1)
x = -6 ± √(36 + 72) / -2
x = -6 ± √108 / -2
x = -6 ± 6√3 / -2
x = -6+6√3 /-2 x = -6 - 6√3 / -2
x = 3-3√3 x = 3 + 3√3
4. 3x²+14×+15=0
By using the above formula
Here a = 3, b = 14, c = 15
x = -14 ± √((14² - 4*(3)*15) / 2*(3)
x = -14 ± √(196 - 180) / 6
x = -14 ± √16 / 6
x = -14 ± 4 / 6
x = -14 + 4 /6 x = -14 - 4 / 6
x = -10 / 6 x = -18 / 6
x = -5/3 x = -3
5.5x²-18x+12=0
By using the above formula
Here a = 5, b = -18, c = 12
x = -18 ± √((18² - 4*(5)*12) / 2*(5)
x = -18 ± √(324 - 240) / 10
x = -18 ± √84 / 10
x = -18 ± 2√21 / 10
x = -18 + 2√21 /10 x = -18 - 2√21 / 10
x = -9 + √21 / 5 x = -9 - √21 / 5
Hence, the values of the given question are 1) x = -4, 2) x = 6 - √15, 3) x = 3 + 3√3, 4) x = -3, and 5)x = -9 - √21 / 5
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What is the domain of the function?
(-∞, ∞)
[-∞, ∞]
(-∞, 0)
(0, ∞)
Answer:
(-♾️,-2]U(-2,♾️)
Step-by-step explanation:
The piece on the left goes to -2 and the piece on the right goes to -2 but does NOT equal it
Using the graph, determine the equation of the axis of symmetry.
Answer:
x = -5
Step-by-step explanation:
If one draws a perfect verticle line at x = -5, one will have exactly 1/2 the parabola on each side. Then is one where to fold the parabola on that line, then there would be no overhang. Hence x = -5 is the axis of symmetry.
The ratio 2 1/2 divided by 9/4 is equivalent to the unit rate of 10/9. true or false?
Answer:
false the answer is 1 1/9
Find the slope of the line through each pair of points.
(2,-2),(4,2)
How is 0,2 an answer?
Answer:
it is an answer if you are using a coordinate plane
Step-by-step explanation:
Fatima paid for 5 pallets of grass to be delivered each pallet of grass cost 129.95. Fatima paid $76.20 for delivery. What is the total amount Fatima paid?
Pedro has scores of 88, 85, 84, and 84 after four tests. What score must he make on his fifth test to have an average of 76 or greater?
around 44 or above
88+85+84+84+44= 385
385/5= 77
Describe the set of nonnegative powers of 10 using the following.
(x | x = , n = 0, 1, 2, 3, …)
The set of non negative powers of 10 is given as
(x | x = 10ⁿ , n = 0,1,2,3....)
Powers of 10 is any integer powers of the number 10. In simple words 10 multiplied by itself several times.
We need to define a set of nonnegative powers of 10 using the given set builder notation .
Powers of 10 is expressed as = 10ⁿ where n = 0,1,2,....
Thus in set builder form we can write
(x | x = 10ⁿ , n = 0,1,2,3....) which states that x is such that (which is denoted as '|' ) x is equal to 10ⁿ where n is equal to 0,1,2,....
Hence the set of non negative powers of 10 is given as
(x | x = 10ⁿ , n = 0,1,2,3....)
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Approximately how many square inches of land is 5 acres?
A. 2 million square inches
B. 6 million square inches
C. 31 million square inches
D. 56 million square inches
Answer:
c. 31 million square inches
Step-by-step explanation:
Hope this helped have an amazing day!
What is the approximate area of the shaded sector in the circle shown below?
А. 4.68 in2
В. 17.3 in2
C. 34.6 in 2
D. 9.36 in2
Answer:
The answer is B, sorry if I'm wrong.
Step-by-step explanation:
Answer:B=17.3 in2
Step-by-step explanation:
Four times a number, increased by one, is between negative seven and seventeen. Find all the numbers
Answer:
The numbers are:
{-1, 0, 1, 2, 3}
Step-by-step explanation:
Note: I am assuming "between" does not include the endpoints.
Given the statement
'Four times a number, increased by one, is between negative seven and seventeen'
Let us break down the word statement into small pieces and then combine them to write it into an algebraic expression.
Let x be the number.
4 times a number = 4x
Increase by 1 = 4x+1
between negative seven and seventeen ⇒ -7 < 4x+1 < 17
Thus, the combined statement can be written in an algebraic expression.
-7 < 4x+1 < 17
solving the inequality expression
[tex]-7 < 4x+1 < 17[/tex]
Add -1 to all parts
[tex]-7+-1<4x+1+-1<17+-1[/tex]
[tex]-8<4x<16[/tex]
Divide all parts by 4
[tex]\frac{-8}{4}<\frac{4x}{4}<\frac{16}{4}[/tex]
[tex]-2<x<4[/tex]
Thus, the numbers are:
{-1, 0, 1, 2, 3}
i.e
[tex]-7<4x+1<17\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-2<x<4\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-2,\:4\right)\end{bmatrix}[/tex]
The graph is also attached below.