Answer:
The answer is below
Step-by-step explanation:
When you fill your coffee at a gas station, you're supposed to get 8 ounces of coffee with a standard deviation of .7 ounces. A random sample of 50 "8 ounce" coffees is collected and measured and the mean was found to be 7.8 ounces. a) Find a 90% confidence interval. b) Interpret the confidence interval in the context.
Solution:
The confidence = 90% = 0.9, mean (μ) = 7.8 ounces, standard deviation (σ) = 0.7 ounces, sample size (n) = 50
α = 1 - C = 1 - 0.9 = 0.1
α/2 = 0.1 / 2 = 0.05
The z score of α/2 is the same as the z score of 0.45 (0.5 - 0.05) which is equal to 1.65
The margin of error (E) is given by:
[tex]E = z_\frac{\alpha}{2} *\frac{\sigma}{\sqrt{n} } \\\\E=1.65*\frac{0.7}{\sqrt{50} } =0.16[/tex]
The confidence interval = μ ± E = 7.8 ± 0.16 = (7.64, 7.96)
b) This means that we are 90% confident that any selected coffee has a weight between 7.64 ounce to 7,96 ounce
4*
Which property of real numbers is illustrated below?
12(x + 4) =12x + 48
A.
Distributive property of multiplication
B. Distributive property of addition
C. Associative property of multiplication
D. Associative property of addition
A: Distributive property of multiplication
Answer
Step-by-step explanation:
Expression 9 x, if x=5
Answer:
45
Step-by-step explanation:
9x
Replace x with 5
9*5
45
Answer:
45
Step-by-step explanation:
9x5 equals 45
Describe the event as impossible, unlikely, equally likely, likely, or certain.
The probability of tossing a 6-sided number cube and rolling a number less than 1 _________.
Answer:
impossible
Step-by-step explanation:
I would say impossible
Sarah Goes To Dinner With 2 Of Her Friends. The Total Cost Of Dinner Is $61.92 Her Friends Pay 2/3 of the total cost. Exactly How Much Does Sarah Pay ?
Answer:
$20.64
Step-by-step explanation:
if you cut 61.92 in to thirds
61.92/ 3= 20.64
so if Sarah's friends payed 2/3 of the bill Sarah herself payed 1/3 which is $20.64
Solve the varible :
1: -5z + 8 = 33
2: -4b - 7 = 37
3: 8x + (-9) = 45
4: 6c + 7 = -29
Answer:
1: -5z + 8 = 33
-5z=33-8
z=-25/5
z=-5
2: -4b - 7 = 37
-4b=37+7
b=-42/4
b=21/7
3: 8x + (-9) = 45
8x=45+9
x=54/8
x=27/4
4: 6c + 7 = -29
6c=-29-7
c=-36/6
c=-6
Using the line of best fit for the above data, what is the approximate difference between the actual value for x = 10 and the predicted value for x= 10?
A. 1.60
B. 1.65
C. 1.70
D. 1.75
Answer:
I dont know
Step-by-step explanation:
10-What is the length of arc AB in circle Q?
Answer: 57.2
Step-by-step explanation:
Answer: C
Step-by-step explanation:
The length of the arc AB will be 5/18 of the circumference of the circle, which equals 2πr
nine red balls and six blue balls are in a bag. if two were selected at random, determine the probability of selecting two red balls. set up the problem as if it would be solved but don't solve
Please help on this I am confused
Answer:
400
Step-by-step explanation:
okay so 400 because you find the height and the base sides and you get the answer, sorry if incorrect
Simone is designing a piece of artwork for a hotel. The artwork is in the shape of a square pyramid as shown. She wants to cover the pyramid with decorative glass. Use a net to find how many square feet of glass needs to cover the entire pyramid.
HELP ME!!!! I WILL GIVE YOU 50 POINTS!!!!!!!
Answer:
36.8 ft
Step-by-step explanation:
Answer:
63.21
Step-by-step explanation:
Someone help me pls
Answer:
x-¹⁰ is the correct answer dude
Answer:
= x^ 2 + x^ -12
= x^ 2 + (-12)
= x ^ -10
I NEED HELP ASAP this question is worth 10 points
Answer:
X 5 10 15 20 15
Y 25 50 75 100 125
Y = 5X
k = 5
option C
Pls anyoneee I neeed help
Answer: 11 goes in the blank in the denominator
The probability as a fraction is 5/11
============================================================
Explanation:
There are 250 red and 300 blue. This gives 250+300 = 550 total marbles.
Divide the number of red (250) over the number total (550) to get the fraction 250/550. Reduce this fraction by dividing both parts by 50. Note how 50 is the GCF of 250 and 550.
Let A = 250 and B = 550.
A/GCF = 250/GCF = 250/50 = 5 which is the numerator already written for usB/GCF = 550/50 = 11 will go in the blank in the denominatorThe fraction A/B = 250/550 fully reduces to 5/11.
We can think of it like saying "There are 5 red marbles out of 11 total".
5/11 = 0.4545 = 45.45% approximately
For you guys not for me- The orca weighs 4 tons. How many pounds is that
Answer:
8,000 pounds
Step-by-step explanation:
1 US ton = 2,000 pounds
[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]
8000 pounds.1 ton is 2000 pounds
4 tons = 8000 pounds
Thanks Hope it helps.someone please helppp
Answer:
D. 10cm
Step-by-step explanation:
Because 20-10=10
Pls mark brainliest
HELP! THIS IS DUE TODAY, and i will mark brainlest!
Answer:
Your answer is the 4th answer.
Step-by-step explanation:
In order for something to be a function, each output can only have one input. Because the output 4 is listed twice, this is not a function.
Answer:
the third one
Step-by-step explanation:
it would have to y values for the one x value 3 so it would not pass the pencil line test
The area of a square garden is 64 m2. How long is each side of the
garden?
Answer:
hope this will help you more...best of luck
Find the surface area of the composite figure
solution given:
For Cuboid
length[l]=11mm
breadth [b]=9mm
height[h]=6mm
For semi cylinder
height[H]=11mm
radius[r]=[tex] \frac{9}{2}=4.5mm[/tex]
Now
Totalsurface area=2(lb+bh+lh)+½(2πr(r+H))-l*b[/tex]
:2(11*9+9*6+11*6)+22/7*4.5(4.5+11)-11*9
:438+219.2-99
:558.2mm²
Here area of base is subtracted as it is not included.
Total surface area of composite figure is :558.2mm².
Answer:
[tex]\displaystyle SA_{Total} = \frac{279 \pi}{4} + 339 \ mm^2[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
FactoringGeometry
Shapes
Congruency
Congruent sides and lengthsRadius Formula: [tex]\displaystyle r = \frac{d}{2}[/tex]
d is diameterSurface Area of a Rectangular Prism Formula: SA = 2(wl + hl + hw)
w is widthl is lengthh is heightSurface Area of a Cylinder Formula: SA = 2πrh + 2πr²
r is radiush is heightStep-by-step explanation:
Step 1: Define
Identify
[Rectangular Prism] w = 9 mm
[Rectangular Prism] l = 11 mm
[Rectangular Prism] h = 6 mm
[Cylinder] d = 9 mm
[Cylinder] h = 11 mm
Step 2: Derive
Modify Surface Area equations and combine
[Surface Area of a Cylinder Formula] Factor: [tex]\displaystyle SA = 2(\pi rh + \pi r^2)[/tex][Surface Area of a Cylinder Formula] Divide by 2 [Semi-Cylinder]: [tex]\displaystyle SA = \pi rh + \pi r^2[/tex][Surface Area of a Semi-Cylinder] Substitute in r [Radius Formula]: [tex]\displaystyle SA = \pi (\frac{d}{2})h + \pi (\frac{d}{2})^2[/tex][Surface Area of a Semi-Cylinder] Evaluate exponents: [tex]\displaystyle SA = \pi (\frac{d}{2})h + \pi (\frac{d^2}{4})[/tex][Surface Area of a Semi-Cylinder] Multiply: [tex]\displaystyle SA = \frac{\pi dh}{2} + \frac{\pi d^2}{4}[/tex][Surface Area of a Rectangular Prism] Remove top: [tex]\displaystyle SA = 2(wh + lh) + lw[/tex]Combine Surface Area equations: [tex]\displaystyle SA_{Total} = \frac{\pi dh}{2} + \frac{\pi d^2}{4} + 2(wh + lh) + lw[/tex]Step 3: Find Surface Area
Substitute in variables [Combined Surface Area equation]: [tex]\displaystyle SA_{Total} = \frac{\pi (9 \ mm)(11 \ mm)}{2} + \frac{\pi (9 \ mm)^2}{4} + 2[(9 \ mm)(6 \ mm) + (11 \ mm)(6 \ mm)] + (11 \ mm)(9 \ mm)[/tex]Evaluate exponents: [tex]\displaystyle SA_{Total} = \frac{\pi (9 \ mm)(11 \ mm)}{2} + \frac{\pi (81 \ mm^2)}{4} + 2[(9 \ mm)(6 \ mm) + (11 \ mm)(6 \ mm)] + (11 \ mm)(9 \ mm)[/tex]Multiply: [tex]\displaystyle SA_{Total} = \frac{99\pi \ mm^2}{2} + \frac{81\pi \ mm^2}{4} + 2[54 \ mm^2 + 66 \ mm^2] + 99 \ mm^2[/tex][Brackets] Add: [tex]\displaystyle SA_{Total} = \frac{99\pi \ mm^2}{2} + \frac{81\pi \ mm^2}{4} + 2[120 \ mm^2] + 99 \ mm^2[/tex]Multiply: [tex]\displaystyle SA_{Total} = \frac{99\pi \ mm^2}{2} + \frac{81\pi \ mm^2}{4} + 240 \ mm^2 + 99 \ mm^2[/tex]Add: [tex]\displaystyle SA_{Total} = \frac{279 \pi}{4} + 339 \ mm^2[/tex]brainliest goes to whoever answers the question correctly also if you want more points answer my other questions
Answer:
function is non linear and decreasing
Step-by-step explanation:
between x=4 and x=6 the line has a negative slope, meaning that it is decreasing, and it can't be a linear function because a linear function a function whose graph is a straight line.
hope this helps!
Mr porter had eight parties at her house last year the number of guest at each party is shown below 15,19,9,27,21,21,10,14
Answer:
17Step-by-step explanation:
Complete question
Mr porter had eight parties at her house last year the number of guests at each party is shown below 15,19,9,27,21,21,10,14. What is the median numbers of those parties
The median value is the value at the middle after rearrangement
On rearranging in ascending order
9, 10, 14, (15, 19), 21, 21, 27
Since there are two values in the middle, we will take the average of the numbers
Median = 15+19/2
Median = 34/2
Median = 17
Hence the median value is 17
Help me with this please!!!!!!!!
d = 12.25
Step-by-step explanation:
d = √(x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2
P1(0, 0, 0) P2(-1, 7, -10)
Substitute the values in the above equation and you will get
d = √(-1 - 0)^2 + (7 - 0)^2 + (-10 - 0)^2
= √(1 + 49 + 100)
= √150
= 12.25
Answer:
12.25
Step-by-step explanation:
What equation can I
use to find 42×51
Answer:
2142
Step-by-step explanation:
Which fraction has a repeating decimal as its decimal expansion?
Answer:
3/11
Step-by-step explanation:
3 divided by 11 = 0.27272727272
HELP
evaluate the function: f(x)=-x^2-x+3
f(-4)
show steps please
put -4 where the x is
so
-4^2-(-4)+3
16 + 4 + 3
23 is the answer
The students in Mrs. Langford‘s fourth and sixth. Algebra class took the same test results of the scores are shown in the following table based on this data which class has the largest friend of test scores explain
Step-by-step explanation:
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???????????????….?????…..?????????
Answer:
C
Step-by-step explanation:
Sine equals opposite over hypotenuse, which would be y/19. To find y multiply by 19 to get y=19sin33°
Miguel walked Ask Your Teacher mile to the library and then Ask Your Teacher mile to the post office. How can he write Ask Your Teacher and Ask Your Teacher as a pair of fractions with a common denominator?
Answer:
[tex](\frac{5}{10},\frac{6}{10})[/tex]
Step-by-step explanation:
Given
[tex]Library \to \frac{1}{2}[/tex]
[tex]Post\ Office \to \frac{3}{5}[/tex]
See comment for complete question
Required
Write as a common denominator
Take the denominator of both fractions
[tex]2 \to[/tex]
[tex]5 \to[/tex]
Calculate the LCM
[tex]2 \to 1 * 2[/tex]
[tex]5 \to 1 * 5[/tex]
[tex]LCM = 1 * 2 * 5[/tex]
[tex]LCM = 10[/tex]
Multiply the numerator and the denominator of both fractions by 10
Simplify each to ensure a denominator of 10
[tex]\frac{1}{2} \to \frac{1}{2} * \frac{10}{10} \to \frac{1}{1} * \frac{5}{10} \to \frac{5}{10}[/tex]
[tex]\frac{3}{5} \to \frac{3}{5} * \frac{10}{10} \to \frac{3}{1} * \frac{2}{10} \to \frac{6}{10}[/tex]
Hence, the pair is:
[tex](\frac{5}{10},\frac{6}{10})[/tex]
A cell phone company advertises that their data plan costs "0.02 cents" for every kilobyte of data. Corinne used 1000 kilobytes of data. Using the advertised price, determine how much Corinne owes on the data plan.
please helppp plesseee
Answer:
[tex]y = \sqrt{7^{2} + 3^{2} }[/tex]
D. 7.6
Step-by-step explanation:
y² = 7² + 3²
y² = 49 + 9
y² = 58
y = (58)^½
y = Rationalize(7.61577310586) ~ 7.6
1. 10x +14 y+8 37 27 +3 4y-19 X+77.
Answer:
Step-by-step explanation: