Answer:
c. (10.1, 15.7)
Step-by-step explanation:
The calculation of the 95% confidence interval is shown below:
Given that
n = sample = 14
average = [tex]\bar x[/tex] = 12.9
Standard deviation = s = 4.9
Based on the above information
[tex]\alpha = 1 -0.95 = 0.05[/tex]
n - 1 = 14 - 1 = 13
[tex]t_{\alpha}\ value = 2.16[/tex]
Now the 95% confidence interval is
[tex]= \bar x + \pm\ t \times \frac{s}{\sqrt{n} } \\\\= 12.9 \pm 2.16 \times \frac{4.9}{\sqrt{14} } \\\\= 12.9 \pm 2.8287[/tex]
= (10.1, 15.7)
hence, the correct option is c.
What is the product of 14/5
Answer:
2.8
Step-by-step explanation:
Just divide and get the answer
multiple choice question
The function f(x) is graphed on the coordinate plane?
Which equation represents the function graphed on the coordinate plane? ~
answer options below~
a. g(x)=|x+1|+3?
b. g(x)=|x+3|-1?
c. g(x)=|x-1|+3?
d. g(x)=|x+3|+1?
Answer:
b. g(x)=|x+3|-1
Step-by-step explanation:
Subtract.
15 - (-4)=
Find the maximum revenue for the revenue function R(x) = 395x − 0.9x2
The maximum revenue obtained for the given revenue function is 43340.
What is termed as maxima and maximum value?Maxima and minima are the highest and lowest values of a function within a given set of ranges.
The maximum value of the function under the entire range is known as the absolute maxima, and the minimum value is recognized as the absolute minima.Range refers to the difference between both the maximum and minimum values of observations in a data set.Now, as per the given question;
The given revenue function is; R(x) = 395x − 0.9x²
Differentiate the given function with respect to x.
dR/dx = 395 − 2×0.9x
dR/dx = 395 - 1.8x
Put the given equation equal to zero and find the critical point for which the function will become maximum.
395 - 1.8x = 0
x = 219.44
x ≈≈ 220.
Substitute the obtained value of x in the revenue function to find its maximum value.
R(x) = 395x − 0.9x²
R(220) = 395×220 − 0.9(220)²
R(220) = 86900 - 43560
R(220) = 43340.
Therefore, the maximum revenue calculated for the given revenue function is 43340.
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When tomás simplified the expression -2.6 + [-5.4], he got2.8. What mistake did tomás likely make?
Answer: he probably didn't pay attention to the - sign on -5.4
What is an equation of the line that passes through the point ( 6 , − 2 ) (6,−2) and is perpendicular to the line 6 x + y = 2 6x+y=2?
Answer:
An equation of the line that passes through the point (6, − 2) and is perpendicular to the line will be:
[tex]y=\frac{1}{6}x-3[/tex]Step-by-step explanation:
We know that the slope-intercept form of the line equation is
y=mx+b
where m is the slope and b is the y-intercept.
Given the line
6x+y=2
Simplifying the equation to write into the slope-intercept form
y = -6x+2
So, the slope = -6
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line.
Thus, the slope of the perpendicular line will be: -1/-6 = 1/6
Therefore, an equation of the line that passes through the point (6, − 2) and is perpendicular to the line will be
[tex]y-y_1=m\left(x-x_1\right)[/tex]
substituting the values m = 1/6 and the point (6, -2)
[tex]y-\left(-2\right)=\frac{1}{6}\left(x-6\right)[/tex]
[tex]y+2=\frac{1}{6}\left(x-6\right)[/tex]
subtract 2 from both sides
[tex]y+2-2=\frac{1}{6}\left(x-6\right)-2[/tex]
[tex]y=\frac{1}{6}x-3[/tex]
Therefore, an equation of the line that passes through the point (6, − 2) and is perpendicular to the line will be:
[tex]y=\frac{1}{6}x-3[/tex]Solve | =
711.6Y/
K²
for K².
The answer is K^2 = 711.6Y on solving the given equation.
Given that, 1 = 711.6Y/K^2 and we have to solve it for the value of K^2. For this we simply have to solve the given equation steps wise. So, let's proceed to solve the equation.
1 = 711.6Y/K^2
Now, multiply K^2 with 1, we get
K^2 = 711.6Y
So, the value of k^2 will be equal to Y times 711.6 and further we can solve it for the various value of Y.
Let us suppose, we have to solve the above equation for the specific value of Y.
So, put Y = 1
On solving, we get
K^2 = 711.6x1
K^2 = 711.6
K = (711.6)^(1/2)
K = 26.67
∴ K^2 = 711.6Y is the equation we will get on solving the equation given to us in the question.
Hence, K^2 = 711.6Y is the required answer.
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Which is the best estimate for 6,193 ÷ 48 using compatible numbers?
A. 100
B. 120
C. 150
D. 160
Round 6193 to 6000
Round 48 to 40
6000/50 = 120
The answer is B. 120
75a ²c– 45a ²d - 30bc + 18bd
Answer:
(25a2c - 15a2d - 10cb + 6db)
Step-by-step explanation:
Equation at the end of step 1: (((75•(a2))•c)-((32•5a2)•d))-30cb)+18db
STEP 2:Equation at the end of step2: ((((3•52a2) • c) - (32•5a2d)) - 30cb) + 18db
STEP3:
STEP 4:Pulling out like terms
4.1 Pull out like factors :
75a2c - 45a2d - 30cb + 18db =
3 • (25a2c - 15a2d - 10cb + 6db)
Suppose that the functions q and r are defined as follows.
q (x)=–2x+1
r(x) = 2x²+2
Find the following.
(r og)(-1) = 0
0/6
Х
(q or)(-1) = 0
5
?
Answer:
(r o q)(-1) = 20
(q o r)(-1) = -11
Step-by-step explanation:
Given
[tex]q(x) = -2x + 1[/tex]
[tex]r(x) = 2x^2 + 2[/tex]
Solving (a): (r o q)(-1)
In function:
(r o q)(x) = r(q(x))
So, first we calculate q(-1)
[tex]q(x) = -2x + 1[/tex]
[tex]q(-1) = -2(-1) + 1[/tex]
[tex]q(-1) = 2 + 1[/tex]
[tex]q(-1) = 3[/tex]
Next, we calculate r(q(-1))
Substitute 3 for q(-1)in r(q(-1))
r(q(-1)) = r(3)
This gives:
[tex]r(x) = 2x^2 + 2[/tex]
[tex]r(3) = 2(3)^2 + 2[/tex]
[tex]r(-1) = 2*9 + 2[/tex]
[tex]r(-1) = 20[/tex]
Hence:
(r o q)(-1) = 20
Solving (b): (q o r)(-1)
So, first we calculate r(-1)
[tex]r(x) = 2x^2 + 2[/tex]
[tex]r(-1) = 2(-1)^2 + 2[/tex]
[tex]r(-1) = 2*1 + 2[/tex]
[tex]r(-1) = 6\\[/tex]
Next, we calculate r(q(-1))
Substitute 6 for r(-1)in q(r(-1))
q(r(-1)) = q(6)
[tex]q(x) = -2x + 1[/tex]
[tex]q(6) = -2(6) + 1[/tex]
[tex]q(6) =- 12 + 1[/tex]
[tex]q(6) = -11[/tex]
Hence:
(q o r)(-1) = -11
Simplify 42 ⋅ 48.
416
410
1616
1610
help, I need help. please
Answer:
4 1/2 and 7 1/4
Step-by-step explanation:
The side lengths of the state flag of Colorado are in the ratio 2:3. If a flag is 12 feet long, what is
its height?
Answer:
12 ft
Step-by-step explanation:
it's either 12 or 18, I have no idea :/
Amanda ordered 7 gallons of lemonade for the spring picnic. ONE gallon is approximately 3.3 liters.How many liters of lemonade did Amanda order?
Answer:
23.1 liters
Step-by-step explanation:
7 x 3.3 = 23.1
Answer:23.
Step-by-step explanation:
Cómo resuelvo esta ecuación 14-8=10- __
Answer:
4
Step-by-step explanation:
14-8=6
10-4=6
14-8=10-4
14-8=10-???
6=10-???
6=10-4
6=6
???=-4
What is the discriminant of the quadratic equation 5x^2-8x+4=0?
Government intervention to affect the production of a good is
A an input cost
B an excise tax
C quantity supplied
D regulation
Answer:
d
Step-by-step explanation:
plzz i need fasssssst
Answer: 1. a) 0 b) -4 2. a) 3 b) -9 3. a) -80 b) -339 c) -14 4. a) 110 b) -87
Step-by-step explanation: This took forever
A man has mislaid his wallet. He thinks there is a 0.4 chance that the wallet is somewhere in his bedroom, a 0.1 chance it is in the kitchen, a 0.2 chance it is in the bathroom, and a 0.15 chance it is in the living room. What is the probability that the wallet is a) somewhere else? b) in either the bedroom or the kitchen?
Answer:
a. Probability = 0.15
b. Probability = 0.3
Step-by-step explanation:
Given
[tex]P(Bedroom) = 0.4[/tex]
[tex]P(Kitchen) = 0.1[/tex]
[tex]P(Bathroom) = 0.2[/tex]
[tex]P(Living\ room) = 0.15[/tex]
Solving (a): Probability of being somewhere else
This is calculated by subtracting the sum of given probabilities from 1.
[tex]Probability = 1 - (0.4 + 0.1 + 0.2 + 0.15)[/tex]
[tex]Probability = 1 - 0.85[/tex]
[tex]Probability = 0.15[/tex]
Solving (b): Probability of being in bedroom or kitchen
This is calculated as:
[tex]Probability = P(Bedroom) + P(Kitchen)[/tex]
[tex]Probability = 0.2 + 0.1[/tex]
[tex]Probability = 0.3[/tex]
The first equation from the system of equations is graphed. Graph the second equation to find the solution of the system of equations. y = –x, y = 2x + 6 What is the point of intersection? (2, 1) (–1, 2) (0, 6) (–2, 2)
Answer:D
Step-by-step explanation:
just took it on edge
Answer:
The answer is d
Step-by-step explanation:
If a position vector v has a magnitude of 5 and is located in the first quadrant, then which of the following could be the terminal point of 2v?
(4, 6)
(2, 8)
(6, 8)
(10, 10)
Answer:
I think its (6,8) if im wrong i will write the correct answer here or i will right it in the comments
Step-by-step explanation:
Need help asap plz will give brainliest
Answer:
[tex]z - 0.05z = 236.60[/tex]
Step-by-step explanation:
Given
[tex]Discount = 5\%[/tex]
[tex]Total\ Cost = 236.60[/tex]
Represent the cost of goods bought with z
When the coupon is applied, the discount becomes
[tex]Discount = 5\% * z[/tex]
This gives:
[tex]Discount = 0.05 * z[/tex]
[tex]Discount = 0.05z[/tex]
The discount subtracted from the cost of good will gives the total amount paid.
So, we have:
[tex]Cost\ of\ Goods - Discount = Total\ Cost[/tex]
This gives:
[tex]z - 0.05z = 236.60[/tex]
Hence, option (a) is correct
What number is 75%of32
Answer: 24
I am bad at explaining so i wouldn't help there
Answer:
24
Step-by-step explanation:
75% is also 3/4. 3/4 out of 32 can be 3 x 32/4 which is 3 x 8, or 24.
How many edges does this shape have?
Answer:8
Step-by-step explanation:
It has the same number of edges, planes, and vertices as a cuboid. Therefore, there are 12 edges in the shape.
What is the rectangular prism?A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.
A rectangular prism has 12 edges.
It has the same number of edges, planes, and vertices as a cuboid.
The shape can be a rectangular prism or cuboid.
Therefore, there are 12 edges in the shape.
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C
After concluding his research, which statements would Virchow agree with? Check all that apply.
Living things come from nonliving things.
Cells can come from nonliving materials.
Frogs can come from mud.
Living things can only come from living things.
Cells come from pre-existing cells.
Answer:
Cells come from pre-existing cells.
Answer:
(A) Living things can only come from living things.
(B) Cells come from pre-existing cells.
Step-by-step explanation:
i just answered this on e d g e n u i t y.
hope this helps <3
Write an equation to model each situation and solve. Be sure to label the solution.
7. A rectangle has a length of 2x - 12 units and a width of 3 units. The value of the
rectangle's area is equal to the value of its perimeter. Write an equation to represent this
situation. Then, solve the equation.
Need a equation and a solution.
Answer:
A. 3(2x - 12) = 2(3 + 2x - 12)
B. Length = 6, width = 3
Step-by-step explanation:
l = 2x - 12
w = 3
Area = 3(2x - 12)
Perimeter = 2(3 + 2x - 12)
if A = P
3(2x - 12) = 2(3 + 2x - 12)
6x - 36 = 6 + 4x - 24
6x - 4x = 6 - 24 + 36
2x = 18
x = 9
Length = 2x - 12 = 2(9) - 12 = 18 - 12 = 6
A box of fruit contains apples, oranges, and bananas. The apple weigh a total of 6 pounds and the oranges weigh a total of 8 pounds. Let b represent the total weight of the bananas, in pounds? What is the equation
The equation is 6+8+b
The total weight of fruit apples+ oranges + bananas=6+8+b
An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent more than 1. The graph of a linear equation always forms a straight line.
Linear Equation Definition: A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line. This is the reason why it is named as a 'linear equation'.
There are linear equations in one variable and linear equations in two variables. Let us learn how to identify linear equations and
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Please answer this correctly without making mistakes
Answer:
The second coupon
Step-by-step explanation:
Answer:
First coupon ($250.00)
Step-by-step explanation:
Figure out the new price with first coupon:
$453.00 - $250.00 = $203.00Figure out the new price with second coupon:
55% of $453 = [tex]\frac{55}{100}[/tex] × [tex]\frac{453}{1} = \frac{24915}{100} = 249.15[/tex] Because we now know that 55% ($249.15) is less than $250.00, we automatically know that the first coupon will save Braden more moneyI hope this helps!
Question 6 of 15
What is the value of the number in the tenths place?
1.793
O A. 0.1
O B. 0.09
O C. 0.7
O D. 0.07
On his first three tests, Trevor scored 86, 83, and 78. What score must he get on his fourth test to have an average (mean) of 80 for all four tests?
Answer:
Trevor must score a 73.
Set UpWe will create an equation that has four values (three knowns, one unknown) that will divide by 4 to find the average.
Our equation will look like this:
[tex]\displaystyle \frac{86+83+78+x}{4}=80[/tex]
SolveFirst, combine all like terms.
[tex]\displaystyle \frac{247+x}{4}=80[/tex]
Then, divide the fraction.
[tex]\displaystyle \frac{247}{4} + \frac{x}{4} = 80[/tex]
Subtract 247/4 from both sides of the equation.
[tex]\displaystyle \frac{247}{4} - \frac{247}{4} + \frac{x}{4} = 80 - \frac{247}{4}[/tex]
[tex]\displaystyle \frac{x}{4} = \frac{73}{4}[/tex]
Then, multiply both sides of the equation by 4 to get rid of the denominator and isolate the variable.
[tex]4\times\displaystyle \frac{x}{4} = 4\times\frac{73}{4}[/tex]
[tex]x=73[/tex]
Final Answer[tex]\boxed{\bold{x=73}}[/tex]