The 80% confidence interval for the number of chocolate chips per cookie for Big Chip cookies is (12.4,13.3).
Given that a sample of 101 cookies and per cookie in the sample has a mean of 12.9 and a standard deviation of 3.2.
From the given information,
Let n=101 represents the size of the sample.
Let [tex]\bar{x}[/tex]= 12.9 represents the mean of the sample.
Let s= 3.2 represents the standard deviation of the sample.
Degrees of freedom:
df = n-1
df= 101-1
df= 100
The critical value of t at 0.2 level of significance with 100 degrees of freedom is,
[tex]\begin{aligned}t_{cric}&=t_{(\frac{\alpha}{2}, n-1)}\\ &=t_{(0.2,100)}\\ &=1.2900\end[/tex]
The 80% confidence interval for the number of chocolate chips per cookie for Big chip cookies is computed as follows:
[tex]\begin{aligned}CI_{80\%}&=\bar{x}\pm t_{(\frac{\alpha}{2},n-1)}\left(\frac{s}{\sqrt{n}}\right)\\ &=12.9\pm 1.2900\left(\frac{3.2}{\sqrt{101}}\right)\\ &=12.9\pm 1.2900\times 0.3184\\ &=12.9\pm 0.410736\\ &=12.489264,13.310736\end[/tex]
Hence, the 80% confidence interval for the number of chocolate chips per cookie for Big Chip cookies when the mean is 12.9 and standard deviation is 3.2 is (12.4,13.3).
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Which of the following is the correct factorization of -y²+y+6?
Answer:
(−y−2)(y−3)Step-by-step explanation:
I'm just going to factor it for you.
Factor −y^2+y+6
−y^2+y+6
=(−y−2)(y−3)
Answer:
(−y−2)(y−3)
hey yall what is 34 x 45 x 567
Answer:
867510
Step-by-step explanation:
34 x 45 = 1530
1530 x 567 = 867510
hope this helped
The answer is
[tex]867510[/tex]
divide 345609875by 13
Answer:
26585375
Step-by-step explanation:
Solve the system of equations
negative x plus 2 y equals 2
minus x plus y equals negative 1
Answer:
Www
Step-by-step explanation:
Answer:
×2y aquel 2minus ×plus y equals negative1
what does b = help plzz
Answer:
128
Step-by-step explanation:
Answer:128
Step-by-step explanation:
It is 128 because the WHOLE angle is 180 degrees and if 52 degrees are covered the other remaining is b so 180 degrees-52 degrees is 128 degrees
submit your answers in simplest radical form.
help :(
Answer:
x = 6√2, y = 6
Step-by-step explanation:
This is an isosceles triangle as one angle measures 45° and the other is a right angle, so it measures 90°.
Therefore, you know that y will equal 6.
You have to multiply a by √2 to find x.
6 x √2 = 6√2
Hope this helps!
Answer:
x = 6[tex]\sqrt{2}[/tex]
y = 6
Step-by-step explanation:
in a 45-45-90 triangle the two legs are equal, so XY = YZ
also, the leg to hypotenuse ratio is 1 : [tex]\sqrt{2}[/tex]
so x = 6 · [tex]\sqrt{2}[/tex]
e/2 < -1 I need help!!! Ty
Answer: you cant solve this solution
Step-by-step explanation:
I need help!!!!! Solve for n 6n=72
Answer:
6n=72
n=72/6
n=12
.....................
Answer:
n = 12
Step-by-step explanation:
n = 72÷ 6
n = 12
thats the answer
841 rounded to the nearest 10th
The answer is 840.
I hope am right
75+11(1777-S)=16,671
Answer:
s = 268.27
Step-by-step explanation:
simplify: 75+19547-11s=16671
simplify more: 19622-11s=16671
subtract 19622 on both sides: -11s=-2951
divide both sides by -11: s=268.27
Pls help I’m failing math
`Answer:
a)x=-9
b)x=71
c) x=3
d)x=9
Step-by-step explanation:
thats what i got unless im really stoopid
cuales son los divisores de 12
Answer:
1, 2, 3, 4, 6, 12
Step-by-step explanation:
Answer:
1,2,3,4,5,6,12 esos son
which phrases represent the expression k/2 - 5
Answer:
K over two minus five
Step-by-step explanation:
I think?
The mass of a basket containing three balls was 3.64 kg. The mass of the same basket and five balls is 5.26 kg. Find the mass of the empty basket in kilograms?
Answer:
1.21
Step-by-step explanation:
5.26 - 3.64 = 1.62
1.62 ÷ 2 because the difference between 3 and 5 is two, the mass of one apple is 0.81 because 1.62 ÷ 2 = 0.81
so now we know one apple weights 0.81
if we multiply that 0.81 x 3 it will equal 2.43, so now the three apples alone wiegh 2.43...so now we look at the total weight of the whole basket with three apples, which is 3.64,
3.64 - the weigth of the apples (2.43)
3.64 - 2.43 = 1.21
the basket alone wieghts 1.21
Sorry if that was too long just want you to understand it
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answer:
its $63.96
Step-by-step explanation:
Using the formula (b) and replacing the given values:
Sale Price = Original Price - Amount Saved. So,
Sale Price = 79.95 - 15.99
Sale Price = $63.96 (answer).
This means the cost of the item to you is $63.96.
You will pay $63.96 for a item with original price of $79.95 when discounted 20%.
In this example, if you buy an item at $79.95 with 20% discount, you will pay 79.95 - 15.99 = 63.96 dollars.
Answer:
$63.96
Step-by-step explanation:
$79.95 = 100%
The jacket is on sale for 20% off, therefore it is 100% - 20% = 80% or 0.8
0.8 x $79.95 = $63.96
Please mark me brainliest.
please solve the question below
Answer:
x = 5.61
Step-by-step explanation:
Applying the knowledge of similarity between two figures, thus:
Height of flag : height of Tommy = shadow length of flag : shadow o
Length of Tommy
30:5.5 = (25 + x) : x
30/5.5 = (25 + x)/x
30×x = 5.5(25 + x)
30x = 137.5 + 5.5x
30x - 5.5x = 137.5
24.5x = 137.5
x = 137.5/24.5
x = 5.61 (nearest hundredth)
Suppose that in 6 minutes, 54 gallons of water came out of a pipe. What was the rate in gallons per minute?
Answer:
9 gallons per minute
Step-by-step explanation:
If there are 54 gallons that came out of a pipe within 6 minutes, then we divide 54 by 6 to get how many would come out in 1 minute.
54/6 = 9.
SOLVING THE SYSTEM BY ELIMINATION!
These are congruent. What is the measurement of E?
Answer:
44º
we know the angle measures of angles G and F; they match up with angles L and M meaning angle K is congruent to angle E
Matthew has a loyalty card good for a discount at local hardware store. The item he wants to buy is priced at $13 before discount and tax. After the discount and before tax a price is $12.48. Find the percent discount.
Answer:
Step-by-step explanation:
Your answer
Old price = 13$
New price = 12.48$
DISCOUNT price = 0.52$
Discount rate = 0.52/13 * 100= 4%
Mark it as Brainlist answer. Follow me.
Anna surveyed 300 of the students in her school about their favorite color. 186 students said their favorite color was red. What percentage of the surveyed students said their favorite color was red?
Answer:_________
PLEASE HELP ME!!!
Answer:
62%
Step-by-step explanation:
I took a fraction and made a decimal which was made into a percentage.
186 ÷ 300 = .62
Check: 62% • 300 = 186
The survey Anna conducted has 62% of students whose favorite color is red.
What is percentage?The percentage is the value per hundredth. Percentages can be converted into decimal form by dividing them by hundred, Percentage can also be represented as a fraction.
Given that 186 out of 300 students Anna surveyed chooses red as their favorite color.
The percentage of students whose favorite color is red is no. of students whose favorite color is red divided by the total no. of students multiplied by hundred which is,
= (186/300)×100.
= 186/3.
= 62%.
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Find volume of a 6mi sphere
Math 1-2 High School please help due in two minutes
The sum of the interior angle of a rhombus is 360° and each angle is 90°
Line passes through (-5,3) and (-6,-1). Line B passes through (3,-2) and (2,-7). Are the lines parallel? Explain.
Answer:
No they are not parallel.
Step-by-step explanation:
You have to figure out the slopes of each set of points. For (-5,3) and (-6,-1) the slope is 4 and for (3,-2) and (2,-7) the slope is 5. You can only have parallel lines if the slope is same and the y- ints are different. Here the slopes aren't same.
Sorry If im wrong. Hope this helps!
The two given lines are not parallel.
What is the slope of a line which passes through points ( p,q) and (x,y)?The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.
Its slope would be:
[tex]m = \dfrac{y-q}{x-p}[/tex]
Slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.
We are given that;
The points= (-5,3) and (-6,-1), (3,-2) and (2,-7)
Now,
For line A, let’s use (-5, 3) and (-6, -1) as the two points. Plugging these values into the formula, we get:
m = (-1 - 3) / (-6 - (-5)) = -4 / -1 = 4
So, the slope of line A is 4.
For line B, let’s use (3, -2) and (2, -7) as the two points. Plugging these values into the formula, we get:
m = (-7 - (-2)) / (2 - 3) = -5 / -1 = 5
Hence, the slope of line B is 5.
Since the slopes of line A and line B are not equal (4 ≠ 5),
Therefore, by the slope the answer will be they are not parallel.
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Cindy drives her car 25 miles from her workplace to her home. The trip takes 1/2 hour. What is her unit rate in miles per hour?
Answer:
Unit rate = 50m/h
Step-by-step explanation:
Distance = 25 (x2) = 50 ( basically make the den 1 and wht
Time = 1/2 hr (x2) = 1hr u do to den do to num)
Unit rate = 50m/h
Six consecutive numbers added up to a total of 45 what is the highest of these numbers
Answer:
11......
Step-by-step explanation:
Just figured what numbers fit..
Do it in my head
The highest number is 10.
Let the numbers be a, a+1, a+2, a+3, a+4 and a+5.
Then, we will add all the numbers and equate them to 45. This will be:
a + (a + 1) + (a + 2) + (a + 3) + (a + 4) + (a + 5) = 45
6a + 15 = 45
Collect like terms
6a = 45 - 15
6a = 30
a = 30/6
a = 5
Smallest number = 5
Then, the largest number will be:
a + 5
Since a = 5
a + 5 = 5 + 5 = 10
In conclusion, the highest number is 10.
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4-58. Lisa plans to retire on her 61st birthday. On her
22nd birthday, Lisa will start saving SA per year for
40 years. Starting on her 62nd birthday, Lisa plans on
withdrawing $10,000 and will continue these annual
withdrawals until the account is exhausted on her 85th
birthday. If Lisa's bank account pays 3% per year, what
annual amount of SA will Lisa need to invest in her bank
account to achieve her retirement goal? (4.10)
Answer:
Lisa invest "$2180.81" in her bank.
Step-by-step explanation:
The given values are:
On Lisa's 62nd birthday,
she withdraw = $10,000
The annuity of $A will remain at 3 percent for 40 years. The retirement pension of $10000 lasts 23 years at rate percentage of 3 but begins 40 years later.
⇒ [tex]A\times (\frac{P}{A} ,3 \ percent,40) - 10000 (\frac{P}{A} ,3 \ percent,23)\times \frac{1}{(1.03)40} = 0[/tex]
⇒ [tex]A\times 23.1148 - 10000\times 16.4436\times 0.3066 = 0[/tex]
⇒ [tex]A = 10000\times 16.4436\times \frac{0.3066}{23.1148}[/tex]
⇒ [tex]= 10000\times 16.4436\times 0.0132[/tex]
⇒ [tex]=2180.81[/tex] ($)
Solve x + 2∕5 = 1∕3 for x.
Question 15 options:
A)
x = –11∕15
B)
x = 1∕15
C)
x = 11∕15
D)
x = –1∕15
Answer:
D
Step-by-step explanation:
x + 2/5 = 1/3
x = 1/3 - 2/5
x = -1/15
Answer:
-1/15
Step-by-step explanation:
¿Cómo se dice 2021 en números romanos?
Answer:
MMXXI Hope this helps :)
Step-by-step explanation:
HELP EMERGANCY FAST ANSWERS TIME LIMIT
Assume Sheila's nominal salary increases from $42,000 in 2003 to $69,000 in 2004.
If the Deflator increased from 106 in 2003 to 109 in 2004 and the CPI increased
from 184 in 2003 to 190 in 2004, what was Sheila's percentage increase in real
income?
6
Answer:
E)
Step-by-step explanation:
1 - (69,000 / 42,000) = .64285 * 100% = 64.3%