Answer:
Answer to part one of the problem = 24 DVD's
Answer to part two of the problem = 2 · x = y
Answer to part three of the problem = 25 months
Step-by-step explanation:
Part 1:
She buys 2 DVD's a month and there are 12 months in a year.
2 x 12 = 24
The minimum amount of DVD's she buys if she is in the club for one year is 24 DVD's
Part 2:
y = minimum number of DVD's bought after x years
x = amount of months
so the equation would look like this:
2 · x = y
Part 3:
If she sticks to the minimum of buying 2 DVD's a month then we can create this equation:
50 / 2 = 25
she will be a member for 25 months or 2 years and 1 month.
A manufacturer of cheese filled ravioli supplies a pizza restaurant chain. Based on data collected
from its automatic filling process, the amount of cheese inserted into the ravioli is normally distributed. To make sure that the automatic filling process is on target, quality control inspectors take a sample of 25 ravioli with mean weight of 15.26 grams and standard deviation of 2.56 grams. The margin of error (ME) to construct a 99% confidence interval for the true mean amount of cheese filling is
A) 2.064 B) 1.432 C) 3.745 D) 1.276 E) 1.797
b. A manufacturer of cheese filled ravioli supplies a pizza restaurant chain. Based on data collected
from its automatic filling process, the amount of cheese inserted into the ravioli is normally distributed. To make sure that the automatic filling process is on target, quality control inspectors take a sample of 25 ravioli and measure the weight of cheese filling. They find the 99% confidence interval of 14.16 to 15.84 grams. Which of the following is the correct interpretation?
I. We are 99% confident that the mean weight of cheese filling in all ravioli made by this process is between 14.16 and 15.84 grams.
II. 99% of all ravioli made by this process will have cheese filling weights between 14.16 and 15.84 grams.
III.We are 99% confident that the interval (14.16, 15.84) contains the mean weight of cheese filling in all ravioli made by this process.
IV. The weight of cheese filling in the ravioli is between 14.16 and 15.84 grams 99% of the time.
A) I only
B) III only
C)I and III.
D) II and III
E) I and IV
Answer: a. B) 1.432
b. E) I and IV
Step-by-step explanation:
a. Margin of error to construct a 99% confidence interval is calculated as
[tex]ME=t.\frac{s}{\sqrt{n}}[/tex]
where
t is the critical value expressed as t-score, which comes from t-distribution;
s is sample standard deviation
n is sample size
In this case, a t-score is used because the population standard deviation is unknown and the sample size is small, n < 30.
The way to find t-score is:
1) Define the degree of freedom, which is sample size minus 1: df = n - 1;
2) Compute alpha: [tex]\alpha=1-\frac{confidence}{100}[/tex];
3) Find the critical probability: [tex]p=1-\frac{\alpha}{2}[/tex]
With the df and critical probability, consulte the t-distribution table and find the score.
For the cheese filling:
df = 24
p = 0.995
t-score = 2.797
Calculating margin of error:
[tex]ME=2.797.\frac{2.56}{\sqrt{5}}[/tex]
ME = 1.432
The margin of error to construct a 99% confidence interval for the true mean amount of cheese filling is 1.432.
b. Confidence interval is an interval in which we have a percentage of certainty that the true population mean is. For example, with a 99% confidence interval of 14.16 to 15.84 grams, we are 99% confident that the true mean weight of cheese filling is between those numbers or that the weight of cheese filling is between 14.16 and 15.84 grams 99% of the time.
Able is carving a rectangular pyramid clock out of green quartz. The length of the rectangle base is 14 cm and the height of the clock is 9cm. If the clock needs to have a volume of 168cm3 what is the width of the base
Answer:
14cm
Step-by-step explanation:
Volume of the pyramid = Base area × height/3
V = BH/3
Base area = 14×width
Height= 9cm
Volume = 168cm³
Substitute into the formula
168 = 4w×9/3
36w = 168×3
36w = 504
w = 14cm
Hence the width of the pyramid is 14cm
What is the description of 2m+7
Answer:
two times a number (m) is increased by 7
Step-by-step explanation:
Thank you all for helping me with every thing! I also need help with this one :)
Answer:
1.5/6
2.1/6
Step-by-step explanation:
Answer:
[tex]\frac{5}{6}[/tex] and [tex]\frac{1}{6}[/tex]
Step-by-step explanation:
please help me please i really need help please
Answer:
x= -6
y= -5
Step-by-step explanation:
(x,y) = (-6, -5)
Answer:
(-6,-5)
x=-6
y=-5
Step-by-step explanation:
9x-7y=-19
5x-3y=-15
When solving with elimination, you multiply both equations by a number to get two terms to cancel each other out.
We can try to get the y's to cancel out. The LCD of 7 and 3 is 21, so we multiply one equation by 3 and another by -7 (to get one -21y and one 21y)
{9x-7y=-19}*3=
27x-21y=-57
{5x-3y=-15}*(-7)=
-35x+21y=105
Now, we combine the two equations.
27x-21y=-57
-35x+21y=105
-8x=48
Now, solve for x.
-8x=48
x=-6
Now we can plug x into one of the original equations to get y.
I will use 9x-7y=-19.
9(-6)-7y=-19
-54-7y=-19
Add 54 to both sides.
-7y=35
y=-5
We can put these values into an ordered pair: (-6,-5).
Each month, a shopkeeper spends 5x+17 dollars on rent and electricity. If she spends 3x-4 dollars on rent how much does she spend on electricity?
Answer:
2x-13
Step-by-step explanation:
5x-3x=2x
17-4=13
Together teammates Pedro and Ricky got 2671 base hits last season Pedro had 275 more hits Ricky hits did each player have
what is (-9 - 6 x 5) x 10 = ?
Answer:
-390 is your answer
Answer:
Step-by-step explanation:
PEDMAS - Parenthesis , Exponents , Division, Multiplication , Addition and subtraction.
(-9 - 6 *5) *10 = (-9 - 30) *10
= -39 *10
= -390
I need help on this question
Answer:
a = 62.5
b = 40
c =62.5
d = 70
1/10+10/12= Any help would be apreciated right now!
Answer:
I got the answer 14/15 or 0.93333
Step-by-step explanation:
If I'm wrong plz tell, thx
Steven has 1/3 of package of biscuit mix left.He will use equal para of the leftover mix to make three watches of biscuits. If he uses all of the mix, what fraction of the original package will he use for each batch?
Answer:
1/9
Step-by-step explanation:
(1/3)/3 = 1/9
The perimeter of an isosceles triangle is 12a + 8b
and the base is 2a - 4b. What is the length of
each side?
What is the asymptote for the function?
I tried to do it but I can’t
Answer:
Horizontal Asymptote → y = 17
Step-by-step explanation:
Given function is f(x) = [tex]\frac{2}{5}(16)^{x+13}+17[/tex]
Here, the parent function is g(x) = [tex]\frac{2}{5}(16)^x[/tex]
Parent function has a horizontal asymptote as y = 0
If the function g(x) is shifted 13 units left and 17 units up, new function will be f(x) = [tex]\frac{2}{5}(16)^{x+13}+17[/tex]
When the parent function is shifted 17 units up, horizontal asymptote shifts 17 units upwards.
Therefore, horizontal asymptote of the image function becomes y = 17.
Please help Please I can’t fail this test
Use elimination to solve the system
2x+y=-1
-3x+2y=12
(They are the same problem please help me please)
Answer:
(-2, 3)
Step-by-step explanation:
I believe (-2, 3)
pablos pizza makes a profit of $495 each day for 12 days, what is the profit for the 12 days
Answer:
5940
Step-by-step explanation:
495 x 12 = 5940
Work out 5/9 x 8/11
Answer:
40/99
Step-by-step explanation:
Answer:
5/9×8/11
Step-by-step explanation:
40/99
Robert painted 4/8 of each tile with green paint. He painted 52 tiles. What is the total amount of tiles that he painted green?
Please show an explanation to solve this problem. Thank you.
Answer:
The answer is 26
Step-by-step explanation:
All we do is multiply 4/8 by 52.
52 = 52/1
52/1 * 4/8 = 208/8
208/8 = 26
So the answer is 26.
Hope this helps! :)
find the image of ( 1 , 2 ) after a reflection about y = x followed by a reflection about y = - x
PLS ONLY ANSWER IF YOU KNOW THE ANSWER.
Answer:
(-1,-2)
Step-by-step explanation:
Think of the line y=x as a mirror. The image of the point (1,2) is obtained by drawing a line through (1,2) perpendicular to the line y=x and finding the point on the perpendicular line that is equal distance from the line y=x but on the other side. This gets you to the point (2,1).
Similarly, from (2,1) find the mirror image using the line y=-x as the mirror. You travel diagonally 1.5 diagonal squares to reach y=-x and then continue another 1.5 diagonals to reach (-1,-2) which is your answer.
Austin walks 1/3 of the way to school and stopped to rest. Devyn walks 2/6 of the way to the school and stops to rest who traveled further
Answer:
Austin and Devyn.
Step-by-step explanation:
1/3 and 2/6 are equal fractions.
3. The Mathville Zoo only has tigers and
ostriches. The zoo keeper says they have 22
animals and the animals have a total of 70 feet.
Find the number of each kind of animal?
9514 1404 393
Answer:
13 tigers9 ostrichesStep-by-step explanation:
Let t represent the number of tigers. Then the number of feet is ...
4t +2(22 -t) = 70
2t = 26 . . . . . . . . . subtract 44, collect terms
t = 13 . . . . . . . divide by 2; number of tigers
22 -t = 9 . . . . number of ostriches
The zoo has 13 tigers and 9 ostriches.
Base your answer on Ali opened a savings account with $100. He saves $25 per month.
Solve an inequality to find the least number of months it will take Ali to have $700.
Answer:
24
Step-by-step explanation:
700- 100 = 600 divided by 25 = 24
Please help i am new here
Answer: 1. 3/8-1/4=1/8
2. 3/8+1/4=5/8
3. x=5/8
Step-by-step explanation: 1. you have to subtract 3/8 by 1/4 because you have to use the largest number to subtract for the smallest number so 3/8-1/4=1/8
2. Add by adding 3/8 by 1/4 because you have to find the value of x so 3/8+1/4=5/8
3. look at number 2. and the answer is x= 5/8
plz mark me brainliest
you can mark me brainliest when 2 people answered and on my answer look on the bottom right and tap the crown. thx!
What is the total measurement of the angels in a triangle?
Answer:
The sum of the three angles of any triangle is equal to 180 degrees.
Step-by-step explanation:
Mark brainliest please if my answer is correct thank you and have a nice day
25 + (98 - 7) x 4 =?
Any help would be really nice right now!
Thanks!
Which of the following is an integer? Select all correct answers.
Select all that apply:
496
−5
8
−10
293
7
Answer:
integers
-52, -17, -8, -4
0, 1, 2, 18, 72
There's no integers -_-
(づ￣ ³￣)づdon't worry Check it
Skyler getting a delivery from Chick-fil-A they charge $3 delivery fee plus $0.25 per mile write an equation to find the total cost y for a delivery that is X miles away
Answer:
y = 3 + 0.25x
Step-by-step explanation:
x represents the miles and if Skyler is charged $0.25 per mile, then x goes with the 0.25. The $3 is a flat fee and doesn't get added any more times then when it is first added.
The base of the following pyramid is a square. If the surface area of the pyramid is 896 in^2, what is it's volume? Side base length is 14 and distance to middle is 7.
Answer: 457.3
Step-by-step explanation:
[tex]V=\frac{lwh}{3}[/tex]
[tex]V=\frac{14*14*7}{3}[/tex]= 457.3
Answer:
V= 1568 in^3
Step-by-step explanation:
B = 14^2 = 196
896 = 14^2 + 2(14) (l)
896 = 196 + 28 (l)
700 = 281 l
25 = l
7^2 + b^2 = 25^2
49 = 625
24
1/3 (196)(24) = 1568
The planning department of Abstract Office Supplies has been asked to determine whether the
company should introduce a new computer desk next year. The department estimates that $8,000
of new manufacturing equipment will need to be purchased and that the cost of constructing each
desk will be $200. The department also estimates that the revenue from each desk will be $600.
a. Determine the revenue function R(x) from the sale of x desks. R(x) =
What is 7.8 * 7.8 * 7.8 * 7.8 * 7.8 as a power
Answer:
7.8^5
Step-by-step explanation:
Find the product. 7. $458.29 × 6.3% 8. $280.12 × 7.75%
Answer:
7. 28.8722
8. 21.7093
Step-by-step explanation:
458.29 x .063=28.8722
21.7093 x .0775= 21.7093