At the local dairy farm, Kareem buys a 32-oz container of yogurt for $2.56. Jonah buys a 6-oz container of yogurt for $0.48. Are the cost, y, in dollars and the amount of yogurt, x, proportional? Explain. Write an equation to represent this relationship. how do you fill it out.
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Answer:
Step-by-step explanation:
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Regular consumption of presweetened cereals contributes to tooth decay, heart disease, and other degenerative diseases, according to studies conducted by Dr. W. H. Bowen of the National Institute of Health and Dr. J. Yudben, Professor of Nutrition and Dietetics at the University of London. In a random sample consisting of 20 similar single servings of Alpha-Bits, the average sugar content was 11.3 grams with a standard deviation of 2.45 grams. Assuming that the sugar contents are normally distributed, construct a 95% confidence interval for the mean sugar content for single servings of Alpha-Bits.
Answers
Using the t-distribution, the 95% confidence interval for the mean sugar content for single servings of Alpha-Bits is (10.15, 12.45).
In this problem, we have that:
Sample of 20, thus [tex]n = 20[/tex].Sample mean of 11.3 grams, thus [tex]\overline{x} = 11.3[/tex].Sample standard deviation of 2.45 grams, thus [tex]s = 2.45[/tex].The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
First, we find the number of degrees of freedom, which is one less than the sample size, thus df = 19.
Now, we have to find the critical value for a 95% confidence interval with 19 df, thus, looking at the t-table or using a calculator, t = 2.093.
Then:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 11.3 - 2.093\frac{2.45}{\sqrt{20}} = 10.15[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 11.3 + 2.093\frac{2.45}{\sqrt{20}} = 12.45[/tex]
The interval is (10.15, 12.45).
A similar problem is given at https://brainly.com/question/24232455
find the y-intercept y= -3/5x-1
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The satay in of a line is written as y = slope(x) + y intercept.
In the given equation the y-intercept is -1
What is the slope of the line through (-9,-6) and (3,-9)
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Answer:
-1/4
Step-by-step explanation:
y2 - y1 / x2 - x1
-9 - (-6) / 3 - (-9)
-3/12
= -1/4
help me i nedd help...........
Answers
Answer:
The answer is 10 12/85 Hope you pass!
Parallelogram BCDE with vertices B(2, -3), C(6,-4), D(7.-6), and E(3.-5):
a) 270° counterclockwise rotation about the point (1,-2)
b) translation along the vector (0,8)
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so (x, y) rotates to (y, -x)
Sadly to change the centre we need to translate the centre to the origin, rotate and the translate back.
In this case that means adding -1, 2 to x,y respectively, rotating, adding 1, -2 to x,y respectively
B(2, 3) translates to (1, 5) which rotates to (5, -1) and translates back to B’(6, -3)
C(6, -4) translates to (5, -2) which rotates to (-2, -5) and translates back to C’(-1, -7)
D(7, -6) translates to (6, -4) which rotates to (-4, -6) and translates back to (-3, -8)
E(3, -5) translates to (2, -3) which rotates to (-3, -2) and translates back to (-2, -4)
The translation is much easier simply moving each point 8 to the right
B’(2, 11), C’(6, 4), D’(7, 2) and E’(3, 3)
Using the grid will everything clear!
a) After 270° counterclockwise rotation about the point (1,-2) the coordinates are B'(-1, -1), C'(-2, -5), D'(-4, -6) and E'(-3, -2).
b) After translation along the vector (0,8) are B''(2, 5), C''(6, 4), D''(7, 2) and E''(3, 3).
Given that, parallelogram BCDE with vertices B(2, -3), C(6, -4), D(7, -6), and E(3, -5).
When rotating a point 270 degrees counterclockwise about the origin our point A(x, y) becomes A'(y,-x). This means, we switch x and y and make x negative.
a) 270° counterclockwise rotation about the point (1,-2)
So, the new coordinates are
B(2, -3)→(1, -1)
C(6, -4)→(5, -2)
D(7, -6)→(6, -4)
E(3, -5)→(2, -3)
After 270° counterclockwise rotation, we get coordinates as
B(1, -1)→B'(-1, -1)
C(5, -2)→C'(-2, -5)
D(6, -4)→D'(-4, -6)
E(2, -3)→E'(-3, -2)
b) Translation along the vector (0,8)
B(2, -3)→B''(2, 5)
C(6, -4)→C''(6, 4)
D(7, -6)→D''(7, 2)
E(3, -5)→E''(3, 3)
Therefore,
a) After 270° counterclockwise rotation about the point (1,-2) the coordinates are B'(-1, -1), C'(-2, -5), D'(-4, -6) and E'(-3, -2).
b) After translation along the vector (0,8) are B''(2, 5), C''(6, 4), D''(7, 2) and E''(3, 3).
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A grocery store stocks shelves with 100 cartons of strawberries before the store opens. For the first 3 hours the store is open, the store sells 10 cartons per hour. Over the next 2 hours, no cartons of strawberries are sold. The store then restocks 10 cartons each hour for the next 2 hours. In the final hour that the store is open, 20 cartons are sold. Graph the function.
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70 + 10 + 10 = 90
90 - 20= 70
Please help what is 399/20 simplified
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Answer:
19 19/20 in fraction
19.95 as a decimal
Step-by-step explanation:
Answer:
19 and 19/20
Step-by-step explanation:
The bar in a fraction stands for dividing
so you divide 399 by 20 which is 19 and 19 remainder
you turn the remainder into a fraction and the number into a whole number
a angle is measured in
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By which rule are these triangles congruent?
AAS
ASA
SAS
SSS
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SSS
Two pairs of sides have already been marked congurent. The third side is shared by the two triangles, so it must be congruent with itself.
You have three congruent sides: SSS
I need help with this Compound Inequality.
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find the area of a square whose side length is (7a^2b^3)
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The area of a square whose side length is (7a^2b^3) is 49a^4b^6
The formula for calculating the area of a square is expressed as:
A = L^2
L is the side length of the square
Given the following parameter
L = 7a^2b^3
Get the area of the square
A = (7a^2b^3)^2
A = 7^2 * a^4 * b^6
A = 49a^4b^6
Hence the area of a square whose side length is (7a^2b^3) is 49a^4b^6
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pls help i am in k12
What is the slope of Car A’s graph? What does it mean?
(b) What is the slope of Car B’s table? What does it mean?
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What are the solutions of the quadratic equation
4x2 - 8x – 12 = 0 ?
A) x = -1 and x = -3
B) x = -1 and x = 3
C) x = 1 and x = -3
D) x = 1 and x = 3
Answers
Answer:
Step-by-step explanation:
4x2 - 8x -12 = 0
divide through by 4
x2 - 2x - 3 = 0
x2 - 3x + x - 3 = 0
(x2 - 3x) + (x - 3) = 0
x(x - 3) + 1(x - 3) = 0
(x + 1) (x - 3) = 0
x + 1 = 0 and x - 3 = 0
x = -1 and x = 3
Answer:
B IS THE ANSWER
Step-by-step explanat
(22x2 - 8x) - 12 = 0
4x2 - 8x - 12 = 4 • (x2 - 2x - 3)
The first term is, x2 its coefficient is 1 .
The middle term is, -2x its coefficient is -2 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 1 • -3 = -3
Step-2 : Find two factors of -3 whose sum equals the coefficient of the middle term, which is -2 .
-3 + 1 = -2 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 1
x2 - 3x + 1x - 3
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-3)
Add up the last 2 terms, pulling out common factors :
1 • (x-3)
Step-5 : Add up the four terms of step 4 :
(x+1) • (x-3)
Which is the desired factorization
4 • (x + 1) • (x - 3) = 0
A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
Any solution of term = 0 solves product = 0 as well.
Solve : x+1 = 0
Subtract 1 from both sides of the equation :
x = -1
Solve : x-3 = 0
Add 3 to both sides of the equation :
x = 3
Mrs. Gonzalez bought a puzzle for $10.95, a board game for $15.95, and a table lamp for $17.10. After tax, the total amount due was $46.86. What is the sales tax rate written as a percent? Round to the nearest tenth if necessary.
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Answer:
6.5%
Step-by-step explanation:
15.95+10.95+17.10 = 44
46.86-44 = 2.86
2.86/44 = 0.065
0.065 = 6.5%
(Pre calc) I only need to do part A i would love to have some help I will make it 120 Points
Answers
Answer:
The domain should be X
Step-by-step explanation:
I'm a bit unsure but I think it's correct
EASY WILL GIVE BRAINLIEST
Three postal workers can sort a stack of mail in 25 minutes, 45 minutes, and 225 minutes, respectively. Find how long it takes them to sort the mail if all three work together.
Answers
Answer:
I think the answer is 98?
Step-by-step explanation:
I added 225+45+25 and got 295. Next, I divided 295 by 3 and got 98. (sorry if I'm wrong.)
Three postal workers can sort a stack of mail in 25 minutes, 45 minutes, and 225 minutes, respectively. Time taken if all the three work together is 15min
What is Time?
Time can be described in mathematics as an ongoing and continuous series of events that take place one after another, from the past through the present and into the future. The duration of events or the gaps between them can be measured, compared, or even ordered using time.
The first worker can sort the stack in 25 minutes. So every minute that goes by,
he does 1/25 of the job.
The second employee completes 1/45 of the stack per minute,
While the third employee completes 1/225 of the task.
Minutes are represented by x, and I've set them all to 1 to indicate that a single stack was sorted.
x·1/25 + x·1/45 + x·1/225 = 1
To eliminate all fractions from the calculation, multiply each term by 225.
225x/25 + 225x/45 + 225x/225 = 225
9x + 5x + 1x = 225
15x = 225
x = 225 / 15
x = 15
Hence, It will take 15min to sort the mail if all three work together
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If a small boy in 30 days saved 1.00 to spend how much did he save each day
Answers
Answer:5 Penny's everyday for thirdy days
Step-by-step explanation:
mr candy man is making bags of candy to reward students in his class. a blue bag contains 7 pieces of candy while a red bag contains 13 pieces of candy. if he has 106 pieces of candy and wants to use them all how many red bags can he make?
(I need help with this asap)
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= 7W + 5 + 6 is it a
Commutative property of addition, Commutative property of multiplication, Associative property of addition, Associative property of multiplication,
Distributive property.
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Answer:
Associative property of addition
Step-by-step explanation:
I NEED A 100% ACCURATE ANSWER FOR THIS ASAP NO LINKS !!!
Solve the following: 7y−20=3y+12
1: y= 3.2
2: y=8
2: y= -8
4: y= 28
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Answer:
I think its y=8
Step-by-step explanation:
7y-20=3y+12
7y-3y=12+20
4y=32
y=32/4
y=8
please help!
I can't solve for m, g, h, or k
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Please help I’ll give brainliest
Answers
Answer:
ITS D GOOD LUCK WITH YOUR HMK
Patty is ordering vests for her scout troop to wear in the Veterans Day parade. She ordered 12 vests from the Festive Features clothing shop. Since this was a bulk order, Festive Features reduced the price of each vest by $6. The total came to $132.
Which equation can you use to find the amount, v, Festive Features normally charges for a vest?
Answers
Answer:
Step-by-step explanation:
Sarah is buying some school clothes.
She found a sweater she likes that costs $18.85 and some t-shirts that are on sale for $4 each.
She got several t shirts of different colors and spent a total of $54.85.
Which equation describes the situation where x is the number of t shirts?
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Which property of multiplication is shown? 3 * (5 * 7) = (3 * 5) * 7
Answers
Answer:
the associative property
Answer:
It is the associative property of multiplication
Step-by-step explanation:
It is generally expressed as
(ab)c=a(bc)
3*(5*7)=(3*5)*7
105=105
At a comic book convention vendor I was selling a set of 5 comics for $38.70.
Vendor 2 was selling a set of 4 comics for $30.76. Which vendor has the higher
unit price?
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Answer:
Vendor I sells more by 0.05
Step-by-step explanation:
First, you do Vendor I, divide 38.70/5, which gives you $7.74.
Then, you go to Vendor 2, divide 30.76/4 and that makes the answer $7.69.
7.74 - 7.69 = 0.05
Vendor 1 has more then Vendor 2 by 5 cents.
Suppose 1.5 liters of water come out of a faucet each minute. For how many minutes was the faucet on if 18.6 liters of water came out?
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Answer:
It was on for 12.4 minutes
Step-by-step explanation:
Answer:
12.4
Step-by-step explanation:
rate of water = 1.5x
x = amount of time
18.6 = 1.5x
x = 12.4
Calvina Miller makes a car payment of $214.50 every month. Her car
loan is for 5 years. How much will she pay in 5 years?
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please help me with this sum
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Step-by-step explanation:
2667
1884
1953
782
2046
3105
8559
5368
963
3367
Answer:
381 x 7 = 2667
471 x 4 = 1884
651 x 3 = 1971
391 x 3 = 1173
341 x 6 = 2046
Hope its help full
Can someone pls help me plsss
Answers
Answer:
the first one
Step-by-step explanation:
1/2 and 1/5 common denominator is 10
