Answer:
The 95% confidence interval to estimate μ is between 7.45 hours and 8.03 hours.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{3.1}{\sqrt{451}} = 0.29[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 7.74 - 0.29 = 7.45 hours
The upper end of the interval is the sample mean added to M. So it is 7.74 + 0.29 = 8.03 hours
The 95% confidence interval to estimate μ is between 7.45 hours and 8.03 hours.
Consider the equation below.
(I - 2)² – 6 = 8 + 4
Which statement explains why the solution to the equation is r = 4?
A
6 and
gir) =
T + 4.
B.
-
6 and
The x-va
lue of 4 is defined on the graphs of both flom) = (x - 2)
The x-value of 4 is a x-intercept for both f(x) = (1 – 2)8
gir) =
3 + 4
OC. The x-value of 4 is undefined for both f(x)
(x - 2)
g(3)
D. The x-value of 4 produces the same y-value in both f(x)
(x - 2) 6 and
gir)
-
6 and
(x + 4.
or + 4.
Answer:
answer is B
Step-by-step explanation:
The solution to the equation is 4 or x = 4 because the x-value of 4 produces the same y-value in both f(x) = (x - 2)³ – 6 and g(x) = ∛(x + 4) option (D) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have an equation in terms of x:
(x - 2)³ – 6 = ∛(x + 4)
To find the value of x we can solve it by trial and error method:
Plug x = 4 in the equation:
(4 - 2)³ – 6 = ∛(4 + 4)
(2)³ – 6 = ∛(8)
8 - 6 = 2
2 = 2 (true)
The solution to the equation is x = 4
Thus, the solution to the equation is 4 or x = 4 because the x-value of 4 produces the same y-value in both f(x) = (x - 2)³ – 6 and g(x) = ∛(x + 4) option (D) is correct.
Learn more about the function here:
brainly.com/question/5245372
#SPJ5
Find the HCF of 30x²y²z³
Answer:
The greatest common factor or highest common factor of any set of numbers is the largest possible number which divides both the numbers exactly. HCF of 24 ..
Step-by-step explanation:
How do you work them out?
Answer:
work what out?
Step-by-step explanation:
i need the equation or a picture or something to elaborate this
PLZ I NEED TO GET BRAINLIEST FOR SOMETHING
Answer:
what workout
Step-by-step explanation:
Help me find x and y please!
Answer:
x = y = 24 units
Step-by-step explanation:
By using the property,
"Radius of a circle perpendicular to a chord bisects the chord in two equal parts"
Since, radius AE is perpendicular to the chord AB,
AD = BD
x = y
AO = OC = 25 [Radii of a circle are equal in measure]
By applying Pythagoras theorem in ΔADO,
AO² = AD² + OD²
(25)² = x² + 7²
625 = x² + 49
x² = 625 - 49
x = 24 units
Therefore, x = y = 24 units
x2 - 3|x - 2| - 4x = - 6
Solve for x
Answer:
if that is x^2 -3|x-2|-4x=-6, then this should be the answer other wise it would be a biiiit diffrent
Step-by-step explanation:
If my teacher has 45 hair pieces and she cuts 38 how many does she have left
Answer:
45 you have and 38 is cutted down
then 45-38 = 7 hair piece
Lin got a $50 gift card to an online music store. She uses the gift card to buy an album for $9.99. She also wants to use the gift card to buy some songs. Each song costs $1.29.
Which of these inequalities describes the situation, where n is the number of songs Lin wants to buy.
9.99+1.29n greater and equal to 50
9.99+1.29 less than and equal to 50
9.99-1.29n less than or equal to 50
9.99-1.29n greater than or equal to 50
Answer:
b) 9.99 + 1.29n ≤ 50
Step-by-step explanation:
I think, this question is incomplete., may be there is typo. To complete the question, it's suppose to be like this
a)9.99 + 1.29n ≥ 50
b)9.99 + 1.29n ≤ 50
c)9.99 − 1.29n ≤ 50
d)9.99 − 1.29 n ≥ 50
well, we have to figure out the information given
price of the album: $9.99
each song cost : $1.29
gift card: $50
number of songs : n
The answer is b) 9.99 + 1.29n ≤ 50 , because the sum of the price of the album ($9.99) and the songs ($1.29 n) must be less or equal to the value of the gift card ($50). Fore sure it 's correct.....
Steve opens a jewelry shop and makes $16.00 profit for each piece of jewelry sold.The amount Steve makes is given f(x)=16x,where x is the number of pieces of jewelry sold.
Answer:
16pieces
Step-by-step explanation:
We can find the number of pieces is the amount steve make is $256
If steve makes $256, then f(x) = 256
Substitute into the formula and find x
256 = 16x
Swap
16x = 256
Divide both sides by 16
16x/16 = 256/16
x = 16
Hence the number of jewelry sold is 16pieces
6. The octopus was swimming 3 feet below the surface. If the octopus swam up 3
feet? Represent the octopus location using an integer.*
Answer:
Octopus Location: 0
Step-by-step explanation:
If the octopus was swimming 3 ft below the surface, it's considered -3.
The octopus then swam up 3 feet, so we add 3 to the -3 from the previous statement.
-3 + 3 = 0
HELP PLEASE BRAINLIEST AND ITS EASY\
What is the mean of the values in the dot plot?
Enter your answer in the box.
Answer: 2
Step-by-step explanation:
2+2+1+3=8/4=2
the sum of two prime numbers is 30 and their difference is a perfect square less than 10. Determine the two prime numbers
Answer:
13 and 17
Step-by-step explanation:
Help and explain
I have been here for a month and going back to the video and not understand
Answer:
The surface area of the composite figure is 1108 square inches.
Step-by-step explanation:
The surface area of the composite figure ([tex]A_{T}[/tex]) is equal to the sum of external faces of the rectangular and triangular prisms, all measured in square inches:
[tex]A_{T} = 20\,in \times 12\,in + 2\times 5\,in \times 12\,in + 2\times 20\,in \times 5\,in + 2\times 20\,in \times 11\,in + 2\times \frac{1}{2}\times 12\,in \times 9\,in[/tex]
[tex]A_{T} = 1108\,in^{2}[/tex]
The surface area of the composite figure is 1108 square inches.
Determine if the three side lengths given can create a triangle or not. Prove it by working out the inequality.
25cm, 13cm, 14cm
a. yes a triangle can be constructed
b. no a triangle can not be constructed
Hello, I Am BrotherEye
Answer:
A. Yes a triangle can be constucted
Step-by-step explanation:
All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle.
~
BrotherEye
At a concession stand, five hot dog(s) and four hamburger(s) cost $16.75; four hot dog(s) and five hamburger(s) cost $17.00. Find the cost of one hot dog and the cost of one hamburger.
Step-by-step explanation:
Let x and y denote the cost of one hot dog and the cost of one hamburger.
ATQ,
Five hot dog(s) and four hamburger(s) cost $16.75 and four hot dog(s) and five hamburger(s) cost $17.00
So,
5x+4y = 16.75 ....(1)
4x + 5y = 17 ....(2)
Multiply equation (1) by 4 and equation (2) by 5.
20x+16y = 67 ....(3)
20x+25y= 85 ....(4)
Subtract equation (3) and (4).
20x+16y-(20x+25y) = 67-85
16y-25y = -18
-9y = -18
y = 2
Put the value of y in equation (2).
4x + 10 = 17
4x = 7
x = 1.75
So, the cost of one hot dog is $1.75 and that of cost of one hamburger is $2.
Congruent angles are not equal.
A. True
B. False
Answer:
false
Step-by-step explanation:
Answer:
Congruent angles are equal. The answer is false
If θ is an angle in standard position and its terminal side passes through the point (5,-12), find the exact value of sinθ in the simplest radical form. need answer, please
9514 1404 393
Answer:
sin(θ) = -12/13
Step-by-step explanation:
The distance from the origin to the given point is ...
r = √(5² +(-12)²) = √169 = 13
For point (x, y) ⇔ (r; θ), recognize that (x, y) = (r·cos(θ), r·sin(θ)). This translates to ...
sin(θ) = y/r
sin(θ) = -12/13
Find the slope of the line connecting these points. (8,3) and
(21,3)
Answer:
m=0
Step-by-step explanation:
3-3/21-8
0/21-8
0/13
0
Answer:
(8, 3) (21, 3)
slope = change in y divided by change in x
slope = (3 - 3) / (21 -8)
slope = 0 / 13
slope = 0
Step-by-step explanation:
Simplify and write answer in standard form.
Answer:
[tex]x^3+8x^2+2x+1[/tex]
Step-by-step explanation:
Combine like terms (terms with the same exponent).
[tex]x^3+(3x^2+5x^2)+(x+x)+1=x^3+8x^2+2x+1[/tex]
"Standard form" means to list terms so the exponents go from high to low (descending order).
helpp i’ll give brainlest
There are two computers you want to buy but each one has a different special deal. The first deal is $50 cashback with $5 more for each referral you give. The second deal is for $130 cashback with no referral bonus. How many referrals do you need to give before the first deal is better?
Which of the following fractions is nearest to 1/2
1) 3/5 2)12/25 3)27/50
You must show all your working.
Answer:
12/25
Step-by-step explanation:
1/2 = 25/50
1) 3/5 = 30/50
2) 12/25 = 24/50 (closest to 25/50)
3) 27/50
Which pattern shows a quadratic relationship?
Question 5
This dot plot shows the number of cakes sold each day in Aunt
Alice's Cake Shop last month.
What is the median number of cakes sold each day?
Aunt Alice's Cake Shop
:
1
2
3
4
5
6
7
Cakes Sold (each day)
Answer:
2
Step-by-step explanation:
Use the dot plot to make a list of the numbers it represents, sorted from smallest to largest.
0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 9
There are 23 numbers in this list. The median is the one in the middle, so there will be 11 numbers to the left of it and 11 to the right.
The median is 2
pls help me frens......
Answer:
V= 8
x=4.5
BCF =48 CFE=132
V=352.8 =8.4x8.4x5
For the volume one i cant read the number but if the bottom number is 8 then V=803.84
if its 6 then v = 452.16
Step-by-step explanation:
v= 2x2x2 v = 8
x is 11x-9=7x+9 | 4x=18 | x=4.5
15x=180 x=12 | CFE = 11x12=132 | BCF = 4x12=48
need help :( plsssssssssss
Answer:
The polygon is a triangle, and is not a regular polygon.
Step-by-step explanation:
The polygon is a triangle because of it's three sides. It's also a non regular polygon since it's no equilateral or equiangular.
A group of nutritionists is hoping to show that a new soybean compound has more protein per gram than roast beef, which has a mean protein content of 20 grams. A random sample of 5 batches of a large supply of soy compound have been tested, producing protein contents of 15, 22, 17, 18, and 23 grams. Which of the following conditions have been met?
I. The data is a random sample from the population of interest.
II. The sample size is less than 10% of the population size.
III. The sample size is large.
a. I only.
b. I and II.
c. I, II and III.
d. II only.
e. III only.
Answer:
The data is a random sample from the population of interest and The sample size is less than 10% of the population size. ( b )
Step-by-step explanation:
roasted beef protein = 20 grams ( mean value )
sample size of soybean compound = 5
mean value of their protein = ( 15 + 22 + 17 + 18 + 23) / 5 = 19
The conditions that have been met are :
The data is a random sample from the population of interest. and
we can say the sample size is less than 10% of population size because we do know the population size is a large supply
3. ADD:
35 degrees 25 minutes 14 seconds
50 degrees 38 minutes 55 seconds
Which choice is equivalent to the fraction below?
6/13
A. 6-13
B. 6 divided 13
C. 6•13
D. 13 divided 6
Answer:
3
Step-by-step explanation:
it's D 13 divided by 6
If f(x) = 4x-3/7, which of the following is the intervenes of f(x)?
Answer:
A
Step-by-step explanation:
[tex] \frac{4x - 3}{7} [/tex]
Replace y with x.
[tex]x = \frac{4y - 3}{7} [/tex]
Solve for y.
[tex]7x = 4y - 3[/tex]
[tex]{7x + 3}{} =4 y[/tex]
[tex] \frac{7x + 3}{4} = y[/tex]
ppppppppppppppppppppppppppppllllllllllllllllllllllllllllllllllllllllllllllllllllllllllzzzzzzzzzzzzzzzzzzz hheellpp
Answer:
12 because imagine 40 / 3 ok? now what makes 160 40 x 4 so you do that for the button 4 x 3 please put heart