Answer:
As the calculated value of t =2.1698 is greater than t (0.05,11) = 1.796 reject H0 . It means chosen bottles stored for a month convince you that the mean furfuryl ether content exceeds the taste threshhold.
Step-by-step explanation:
We formulate our null and alternative hypotheses as
H0 u≤ 6 ug Ha : u > 6 ug
The significance level ∝ = 0.05
The test statistic used is
t = X` - u / s/ √n
which if H0 is true, has the students' t test with n-1 = 11 degrees of freedom.
The critical region t > t (0.05,11) = 1.796
We compute the t value from the data
Xi Xi²
8.92 79.5664
6.99 48.8601
5.54 30.6916
5.73 32.8329
6.38 40.7044
5.51 30.3601
6.45 41.6025
7.50 56.25
8.48 71.9104
5.56 30.9136
6.90 47.61
6.46 41.7316
80.42 553.0336
Now x` = ∑x/ n = 80.42/12 = 6.70
S²= 1/n-1 ( ∑(xi- x`)²= 1/11 ( 553.034 - (80.42)²/12)
= 1/11 (553.034-538.948) = 1.2805
s= 1.1316
Putting the values in the test statistics
t = X` - u / s/ √n = 6.70- 6 / 1.1316 / √12
= 2.1698
The critical region t > t (0.05,11) = 1.796
As the calculated value of t =2.1698 is greater than t (0.05,11) = 1.796 reject H0 . It means chosen bottles stored for a month convince you that the mean furfuryl ether content exceeds the taste threshhold.
(-2×3)+(3×2) how do we solve it
Answer:
0
Step-by-step explanation:
- 2×3= - 6
2×3=6
-6+6=0
Answer:
0
Step-by-step explanation:
first
(-2x3)+(3x2)
-6+6=0
A rectangular window is 48 in long and 36 in wide. Lisa
would like to buy a screen for the window. The cost of
the screen is based on the number of square feet the
screen is. Use the facts to find the area of the window in
square feet.
Conversion facts for length
1 foot (ft) 12 inches (in)
1 yard (yd) = 3 feet (ft)
1 yard (yd) = 36 inches (in)
2
Х
$
?
[tex]\\ \sf\longmapsto Area=Length\times Breadth[/tex]
[tex]\\ \sf\longmapsto Area=48(36)[/tex]
[tex]\\ \sf\longmapsto Area=1728in^2[/tex]
[tex]\\ \sf\longmapsto Area=144ft^2[/tex]
[tex]\\ \sf\longmapsto Area=48yard^2[/tex]
Which statements about the sum of the interior angle measures of a triangle in Euclidean and non-Euclidean geometries are true? A. In Euclidian geometry the sum of the interior angle measures of a triangle is 180 degrees, but in elliptical or spherical geometry the sum is less than 180 degrees. B. In Euclidian geometry the sum of the interior angle measures of a triangle is 180 degrees, but in elliptical or spherical geometry the sum is greater than 180 degrees. C. In Euclidian geometry the sum of the interior angle measures of a triangle is less than 180 degrees, but in hyperbolic geometry the sum is equal to 180 degrees. D. In Euclidian geometry the sum of the interior angle measures of a triangle is greater than 180 degrees, but in hyperbolic geometry the sum is less than 180 degrees. E. In Euclidian geometry the sum of the interior angle measures of a triangle is 180 degrees, but in hyperbolic geometry the sum is less than 180 degrees.
Answer:
its b and e
Step-by-step explanation:
The statements given in options B and E are true so options B and E are right options.
Given some statements we have to determine that which of the following statements are true
The given statements are as follows
A. In Euclidean geometry the sum of the interior angle measures of a triangle is 180 degrees, but in elliptical or spherical geometry the sum is less than 180 degrees.
B. In Euclidean geometry the sum of the interior angle measures of a triangle is 180 degrees, but in elliptical or spherical geometry the sum is greater than 180 degrees.
C. In Euclidean geometry the sum of the interior angle measures of a triangle is less than 180 degrees, but in hyperbolic geometry the sum is equal to 180 degrees.
D. In Euclidean geometry the sum of the interior angle measures of a triangle is greater than 180 degrees, but in hyperbolic geometry the sum is less than 180 degrees.
E. In Euclidean geometry the sum of the interior angle measures of a triangle is 180 degrees, but in hyperbolic geometry the sum is less than 180 degrees.
We know some facts about each type of geometry
In Euclidean geometry plane is used to plot the points and line.
In spherical geometry uses the sphere to plot the points and circles
Elliptical geometry is such a geometry where no parallel lines exists.
The sum of interior angles of a triangle is dependent on the type of geometry we are dealing with and they can be written down in the following points
In Euclidean geometry the sum of interior angles of a triangle is 180° In spherical or elliptical geometry the sum of interior angles of a triangle is more than 180° In hyperbolic geometry the sum of interior angles of a triangle is less than 180°So from the above observations we can conclude that statements given in options B and E are true so options B and E are right options.
For more information please refer to the link given below
https://brainly.com/question/4637858
4) What is the perimeter of a square with side length Of 3 squared
Answer:
36
Step-by-step explanation:
3² = 9.
So, the perimeter is 9(4) = 36
what number should replace the question mark
Answer: The missing number is 5.
Step-by-step explanation:
In the table we can only have numbers between 1 and 9,
The pattern that i see is:
We have sets of 3 numbers.
"the bottom number is equal to the difference between the two first numers, if the difference is negative, change the sign, if the difference is zero, there goes a 9 (the next number to zero)"
Goin from right to left we have:
9 - 6 = 3
6 - 2 = 4
4 - 9 = - 5 (is negative, so we actually use -(-5) = 5)
4 - 4 = 0 (we can not use zero, so we use the next number, 9)
3 - 3 = 0 (same as above)
? - 1 = 4
? = 4 + 1 = 5
The missing number is 5.
3.06 as. a fraction PLEASE HELP
Answer:
153/50
Step-by-step explanation:
3.06
Rewriting as
There are two numbers after the decimal so we put the number over 100
306/100
Divide top and bottom by 2
153/50
To write 3.06 as a fraction you have to write 3.06 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
3.06 = 3.06/1 = 30.6/10 = 306/100
And finally we have:
3.06 as a fraction equals 306/100
plz hep me to prove the following relations:
Step-by-step explanation:
[taking alpha = a]
L.H.S.
(1-sin⁴a)/cos⁴a
= 1/cos⁴a-sin⁴a/cos⁴a
= sec⁴a-tan⁴a
= (sec²a+tan²a)(sec²a-tan²a)
= (1+tan²a+tan²)(1) [as sec²a=1+tan²a]
= 1+2tan²a
= R.H.S. [Proved]
on a particular day, a man spent 12 minutes more driving to his office than driving home. His average speed from home to office is 12km/h and from office to home is 60m/h .How far is the man home to his office
Answer:
distance between home and office = 3 km
Step-by-step explanation:
Find x in each triangle
Answer:
x=20
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2
21 ^2 + x^2 = 29^2
441+x^2 =841
Subtract 441 from each side
x^2 = 841-441
x^2 = 400
Take the square root of each side
sqrt(x^2) = sqrt(400)
x = 20
Answer:
[tex]\boxed{x = 20}[/tex]
Step-by-step explanation:
Hey there!
Well to find x we need to use the Pythagorean Theorem, which is.
[tex]a^2 + b^2 = c^2[/tex]
We have a which is 21 and 29 which is c.
[tex](21)^2 + x^2 = (29)^2[/tex]
[tex]441 + x^2 = 841[/tex]
[tex]-441[/tex]
[tex]x^2 = 400[/tex]
[tex]x = 20[/tex]
So the missing side "x" is 20.
Hope this helps :)
Ashton needs to rent a car while on vacation. The rental company charges $19.95, plus 18 cents for each mile driven. If Ashton only has $50 to spend on the car rental, what is the maximum number of miles she can drive?
Answer:
166.9 miles or 166 miles
Step-by-step explanation:
We can form an equation like this:
19.95 + .18x = 50
In this equation, "x" is the number of miles.
=> 19.95 - 19.95 +.18x = 50 -19.95
=> .18x = 30.05
=> .18x/.18 = 30.05/.18
=> x = 166.9
Ashton can drive 166.9 miles.
**Note: We cannot round the answer to 167, as she would not have enough money to drive the extra 0.1 mile.
Given the sequence 38, 32, 26, 20, 14, ..., find the explicit formula. A. an=44−6n B. an=41−6n C. an=35−6n D. an=43−6n
Answer:
The answer is option AStep-by-step explanation:
The sequence above is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)d
where a is the first term
n is the number of terms
d is the common difference
From the question
a = 38
d = 32 - 38 = - 6 or 20 - 26 = - 6
Substitute the values into the above formula
A(n) = 38 + (n - 1)-6
= 38 - 6n + 6
We have the final answer as
A(n) = 44 - 6nHope this helps you
Answer:
a
Step-by-step explanation:
you're welcome!
Find the solution of the inequality 5 > r - 3.
A) r<2
B) r = 2
C) r=8
(D) r < 8
Answer:
[tex]\huge\boxed{r<8}[/tex]
Step-by-step explanation:
[tex]5 > r - 3[/tex]
Adding 3 to both sides
[tex]5 + 3 > r[/tex]
[tex]8 > r\\OR \\r < 8[/tex]
Answer: D. r<8
Step-by-step explanation:
[tex]5>r-3[/tex]
add 3 to both sides
[tex]r-3+3<5+3[/tex]
[tex]5+3=8[/tex]
simplify
[tex]r<8[/tex]
Stephen Curry's record during the 2017 - 2018 NBA final game is made up of 2-point shots and 3-points.
His total points scored for the final game was 45 points with 19 shots made. How many 2-point shots did
he make? How many 3-point shots did he make?
2-Pointers:
3-Pointers:
Answer:
x = 12 ( two points shots )
y = 7 ( three points shots )
Step-by-step explanation:
Let´s call "x" two points shots, and "y" three points shots, then
x + y = 19
2*x + 3*y = 45
We have to solve a two-equation system for x and y
y = 19 - x
2*x + 3 * ( 19 - x ) = 45
2*x + 57 - 3*x = 45
- x = 45 - 57
-x = - 12
x = 12
And y = 19 - 12
y = 7
please find the answer
Answer:
I hope this is correct but 8.5 or 8 1/2 Units
Answer:
i think it is 8 1/2.
Step-by-step explanation:
my reasoning is that because v=lwh. the length is 4 and hw is 2 1/8. so i multiplied those together.
I need help pls. Algebra
Answer:
The answer is option AStep-by-step explanation:
f(x) = (x+1)³ + 4
To find f-¹(x) equate f(x) to y
That's
y = (x+1)³ + 4
Next interchange the terms x becomes y and y becomes x
That's
x = ( y+1)³ + 4
Make y the subject
(y+1)³ = x - 4
Find the cube root of both sides
That's
[tex]y + 1 = \sqrt[3]{x - 4} [/tex]
Send 1 to the right side of the equation
That's
[tex]y = \sqrt[3]{x - 4} - 1[/tex]
So we have the final answer as
[tex]f ^{ - 1} (x) = \sqrt[3]{x - 4} - 1[/tex]
Hope this helps you
Answer:
option 1
Step-by-step explanation:
f(x)=(x+1)³+4
to find the inverse interchange the variable and solve for y
inverse f(x)=(y+1)³+4
x=(y+1)³+4
x-4=(y+1)³
y+1=∛x-4
y=∛x-4 -1
how many 50 cents coins are there in $10:50
Answer:
21
Step-by-step explanation:
you divide 10.50 by 50
What is distributive property???
A number multiplied by a sum is the same as the sum of the number multiplied by each addend; a(b + c) = ab + ac
Answer:
the distributive property of binary operations generalizes the distributive law from elementary algebra, which asserts that one has always For example, one has One says that multiplication distributes over addition.
These two triangles are congruent by the Hypotenuse-Leg Theorem.
Answer:
[tex] y = - 2 [/tex]
Step-by-step explanation:
Given that the 2 triangles are congruent based on the Hypotenuse-leg theorem, this implies that:
[tex] x - y = x + 2 [/tex] , and [tex] 2x - y = 4x + 2y [/tex]
Using the expression, [tex] x - y = x + 2 [/tex], solve for y:
[tex] x - y - x = x + 2 - x [/tex]
[tex] - y = 2 [/tex]
[tex] y = - 2 [/tex]
What is the prime factorization of 75
Step-by-step explanation:
The prime fractorization of 75 is 3×5×5 or 3×52
Nhà trường muốn đánh giá tỉ lệ chăm học của sinh viên (trong một tuần). Khảo sát 236 sinh viên thì thấy có 32 sinh viên chăm học. Hãy ước lượng khoảng đối xứng cho tỉ lệ sinh viên chăm học của trường với độ tin cậy 95%
Answer:
can't understand the language
does x-2/x-6 simplify to 1/3 ?
explain why or why not
Answer:
no it is not 1/3
Step-by-step explanation:
(x-2) / (x-6)
This does not simplify
Rewriting x-2 as (x-6 +4)
(x-6 +4)/ ( x-6)
Replacing x-6 as m
( m+4) /m
Simplifying
m/m + 4/m
1 + 4/m
Replacing m with x-6
1 + 4/ ( x-6)
This is not 1/3
In the Brady's Family, each girl has twice as many brothers as she has sisters.
However, each boy has the same number of brothers as sisters. Is this possible; and
if so how many girls are there in the family, and how many boys?
Answer:
3 girls and 4 boys
Step-by-step explanation:
Writing the number of girls in the family as g and the number of boys in the family as b,
we know that each girl has twice as many brothers as sisters. Therefore, the amount of boys in the family (b, or how many brothers each girl has) is twice the number of the amount of girls in the family (g) minus 1 (g-1) (subtract 1 because each girl's number of sisters does not include the girl herself). We can write this as
b = 2(g-1)
Next,
we know that each boy has the same amount of brothers as sisters. Therefore, the amount of boys in the family minus 1 (b-1, subtracting 1 because we don't include the boy that has the brothers) is equal to the amount of girls in the family (g). we can write this as
b-1 = g
Therefore, we have
b = 2(g-1)
b-1 = g
Plugging b-1 = g into the first equation, we get
b = 2 (g-1)
2(g-1) = 2((b-1) - 1) = b
= 2(b-1-1)
= 2(b-2)
= 2b-4
b = 2b-4
subtract 2b from both sides to make it so that only b values and their coefficients are on one side
-b = -4
multiply both sides by -1 to solve for b
b=4
Therefore, there are 4 boys in the family and b-1 = 4-1 = 3 girls in the family.
The margin of error ________ (increases or decreases) with an increased sample size and ________ (increases or decreases) with an increase in confidence level.
With such a larger sample size, the margin of error lowers (grows or decreases), whereas, at a higher confidence level, it increases (increases or declines).
The margin of error:
A margin of error increases as the confidence level rises, resulting in a larger interval. A margin of error is reduced as confidence is increased, resulting in a narrower interval.By increasing sample size and confidence level, the margin of error lowers and grows.
Margin of error [tex](E) = Z_c * {\frac{\sigma}{\sqrt{n}}}[/tex]
Here [tex]Z_c[/tex] denotes the confidence level's critical value.Whenever it comes to sample size, n is the number of people who take part in the study.As a result, the margin of error lowers as the sample size grows, and the margin of error increases as the confidence level grows.Find out more about the margin of error here:
brainly.com/question/10501147
Question: Complete the point-slope equation of the line through (1,3)and (5,1). Use exact numbers. Equation: y-3=(Answer ?)
Answer:
y - 3 = -1/2(x - 1)
Step-by-step explanation:
Hey there!
Well point slope form is,
[tex]y - y_{1} = m(x - x_{1})[/tex]
We can use the point (1,3)
y - 3 = m(x - 1)
Now we need to find slope with the following formula,
[tex]\frac{y^2-y^1}{x^2-x^1}[/tex], we’ll use the points (1,3) and (5,1).
[tex]\frac{1-3}{5-1}[/tex]
-2/4
Slope or m = -1/2
y - 3 = -1/2(x - 1)
Hope this helps :)
is f(x)=sqrt{x}+3x an exponential function?
I have a math test it’s 10 questions and I have 20 mins to complete it. who can help??
Why
Do
You
Need
People
To
Do
It
For
You
Dan weighs 205 pounds but is only 5 feet 8 inches tall. Evan is 6 feet tall. How much would you expect Evan to weigh if they have the same height/weight ratio? WILL MARK BRAINLIST
Answer:
Around 217 pounds
Step-by-step explanation:
Let's convert the height into inches.
5 feet 8 = [tex]5\cdot12 + 8 = 60 + 8 = 68[/tex]
6 feet [tex]= 6\cdot12 = 72[/tex].
We can set up a proportion
[tex]\frac{205}{68} = \frac{x}{72}[/tex]
We can use the cross products property to find x.
[tex]205\cdot72=14760\\\\\\14760\div68\approx217[/tex]
Hope this helped!
Answer:
217.0588235 lbs
Step-by-step explanation:
Convert ft inches to inches
5 ft = 5*12 = 60 inches
5 ft 8 inches = 68 inches
6 ft = 6*12 = 72 inches
We can use ratios to solve
205 lbs x lbs
------------- = ----------------
68 inches 72 inches
Using cross products
205 * 72 = 68x
Divide by 68
205 *72/68 = x
217.0588235 lbs
10 times as much as 9
Answer:
90
Step-by-step explanation:
10 x 9
=> 90
10 times 9 is 90.
WORTH 100 POINTS!
The function h(x) is quadratic and h(3) = h(-10) = 0. Which could represent h(x)?
1) h(x) = x2 - 13x - 30
2) h(x) = x2 - 7x - 30
3) h(x) = 2x2 + 26x - 60
4) h(x) = 2x2 + 14x - 60
Answer:
h(x) = 2x^2 +14x -60
Step-by-step explanation:
A quadratic is of the form
h(x) = ax^2 + bx +c
h(3) = h(-10) = 0
This tells us that the zeros are at x=3 and x = -10
We can write the equation in the form
h(x) = a( x-z1)(x-z2) where z1 and z2 are the zeros
h(x) = a(x-3) (x- -10)
h(x) = a(x-3) (x+10)
FOIL
h(x) = a( x^2 -3x+10x-30)
h(x) = a(x^2 +7x -30)
Let a = 2
h(x) = 2x^2 +14x -60
It means
zeros are 3 and -10
Form equation
y=x²-(3-10)x+(-10)(3)y=x²+7x-30Multi ply by 2
y=2x²+14x-60Option D
7(a-1)=45 what is the answer to that equation????
Answer: a = 52/7
Step-by-step explanation:
remove the parentheses, move the constant to the right, calculate, then divide both sides
Answer:
The answer is, a = 52/7, or a = 7.42 in decimal form
Follow the steps below for better explanation: