Answer:
12.5%
Step-by-step explanation:
hope it helps!!!
The inspection division of the Lee County Weights and Measures Department is interested in estimating the actual amount of soft drink that is placed in 2-liter bottles at the local bottling plant of a large nationally known soft-drink company. A random sample of 64 bottles obtained from this bottling plant indicated a sample average and standard deviation of 2.99 and .06 liters repectively. Set up a 98% confidence interval estimate of the true average amount of soft drink in each bottle.
Answer:
The 98% confidence interval estimate of the true average amount of soft drink in each bottle is between 2.97 liters and 3.01 liters.
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 64 - 1 = 63
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 63 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.387
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.387\frac{0.06}{\sqrt{64}} = 0.02[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 2.99 - 0.02 = 2.97 liters
The upper end of the interval is the sample mean added to M. So it is 2.99 + 0.02 = 3.01 liters
The 98% confidence interval estimate of the true average amount of soft drink in each bottle is between 2.97 liters and 3.01 liters.
In the figure shown what is the value of x?
Answer:
23 is the right answer hope it's helps you
The value of x from the given congruent triangles is 23 units.
In the figure ΔABC and ΔDEF are given.
What is the congruence theorem?Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.
Consider, ΔABC and ΔDEF, we have
AB=DE (Given)
∠BAC=∠EDF (Given)
AC=DF (Given)
So, ΔABC ≅ ΔDEF
We know that, by CPCT
BC=FE
⇒ x-4=19
⇒ x=23 units
Therefore, the value of x from the given congruent triangles is 23 units.
To learn more about the congruent theorem visit:
https://brainly.com/question/24033497.
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3. Five more than a number is below 17. Use n
for the number.
Answer:
n + 5 = below 17
Step-by-step explanation:
Answer:
n+5<7
Step-by-step explanation:
n+5<7
This is just what I think the problem is asking. Since it asks for 5 more than a number(it doesn't specify what number), then it doesn't matter what number it is. It didn't say that the number is 17, which means that the equation is probably an unequality sentence.
Sarah leans a 20 ft ladder against
the side of her house so that the
base of the ladder is 14 ft from the
house ABOUT how far up the side
of the house does the ladder reach?
Answer:
(a) 14
this is what i got
Four brothers each bough two hot dogs and a bag of chips at the football concession stand if the bag of chips was $1.25 and the total was $18.20 what was the price of one hot dog
Answer:
$1.65
Step-by-step explanation:
1.25 x 4 = 5.00
18.20 - 5.00 = 13.20
13.20 / 8 = 1.65
they bought 8 hotdogs because there is 4 brothers and each ate 2 so 4 x 2 = 8
a real estate agent sells a house for $360,000. the amount was 30% of her sales for the entire week. which equation could be used to determined s, the total amount of sales for the week
Answer:
1 200 000 $
Step-by-step explanation:
(100 divide per 30 ) x 360 000 $
21x-9+27=180 what is x?
et X represent the full height of a certain species of tree. Assume that X has a normal distribution with a mean of 191.8 ft and a standard deviation of 4 ft. A tree of this type grows in my backyard, and it stands 182.2 feet tall. Find the probability that the height of a randomly selected tree is as tall as mine or shorter.
Answer:
The probability that the height of a randomly selected tree is as tall as mine or shorter.
P(X≤182.2) = 0.0082
Step-by-step explanation:
Step(i):-
Mean of the Population = 191.8 ft
Standard deviation of the Population = 4 ft
Let 'X' be the random variable in normal distribution
X = 182.2 feet
[tex]Z = \frac{x-mean}{S.D}[/tex]
[tex]Z = \frac{182.2-191.8}{4} = -2.4[/tex]
Step(ii):-
The probability that the height of a randomly selected tree is as tall as mine or shorter.
P(X≤182.2) = P( z≤ -2.4)
= 1-P(z>2.4)
= 1-(0.5 + A(2.4))
= 0.5 - A(2.4)
= 0.5 - 0.4918
= 0.0082
The probability that the height of a randomly selected tree is as tall as mine or shorter.
P(X≤182.2) = 0.0082
An amount of $44,000 is borrowed for 9 years at 3% interest, compounded annually. If the loan is paid in full at the end of that period, how much must be paid
back?
Answer:
A= $52,190.93
Step-by-step explanation:
A = $ 52,190.93
A = P + I where
P (principal) = $ 40,000.00
I (interest) = $ 12,190.93
Calculation Steps:
First, convert R percent to r a decimal
r = R/100
r = 3%/100
r = 0.03 per year,
Then, solve our equation for A
A = P(1 + r/n)nt
A = 40,000.00(1 + 0.03/1)(1)(9)
A = $ 52,190.93
Summary:
The total amount accrued, principal plus interest,
from compound interest on an original principal of
$ 40,000.00 at a rate of 3% per year
compounded 1 times per year
over 9 years is $ 52,190.93.
rate mi and.my bestie when we were little im the one without the doll
Answer:
Cuties! 10/10 ❤
Step-by-step explanation:
Have a good rest of your day! :)
Heidi earns $11.50 per hour plus a bonus of $105 for the week. Her goal is to earn $650 for the week. Which equation
represents the number of hours, h, Heidi will have to work to reach her goal?
Answer:
48 hours
Step-by-step explanation:
$650 - $105 = $545
$545 ÷ $11.50 = 47.39 = 48 hours (Rounded)
Please Help I Need To Answer This Quick!!....
Answer:
A+B+C=180°( BY SUM OF ALL ANGLE IS 180°)
70°+40°+C=180°
110°+C=180°
C=180°-110°
C=70°
C+X=180°(BY LINEAR PAIR)
70°+X=180°
X=180°-110°
X=70°
can you help me out I’ll mark brain list .
Answer:
Linear-
nonlinear
Linear
Step-by-step explanation:
HELP ASAP! I need help with 11 and 12 please!! Thank you!
Answer:
Q11 part 4 is the correct option
Q12 part 4 is also the correct option
In a sample of 31 kids, their mean time on the internet on the phone was 36.5 hours with a sample standard deviation of 8.3 hours. Which distribution would be most appropriate to use, when we assume these times are normally distributed
Answer:
Normal distribution
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question:
Sample of 31 kids, of a normally distributed variable. So, by the Central Limit Theorem, the most appropriated distribution to use is the normal distribution.
Round 342.296269789 to 2 decimal places.
Answer:
342.30
Step-by-step explanation:
342.296 would round up because 6 is higher than five. The 0.09 would round up to 0.10, making the 0.2 become a 0.3.
HELP ME WITH ALL OF THESE ASAP i will give BRAINEST
Answer:
The first is true.
8 · 21 = 168
The second is false.
The third is false.
The fourth is true.
Step-by-step explanation:
Answer:
true
168 divided by 21 is 8
true
168 divided by 8 is 21
false
168 divided by 16 is 10.5
false
168 divided by [tex]\frac{1}{8}[/tex] is 21
Step-by-step explanation:
for number one since there 21 cans of soup and 168 oz are used for all cans you would divide 168 by 21 and you get 8 and so on with the rest of the questions !
Classify the following triangle.
Answer:
Isosceles obtuse Triangle
Subtract.
78.9−5.64 Pls help
Answer:
73.26
Step-by-step explanation:
I hope this helps :)
Answer:
73.26 is your answer.
Step-by-step explanation:
Which two angles are adjacent?
∠AHD and ∠AHB
∠DHB and ∠BHF
∠AHD and ∠BHF
I don't know.
Imported Asset
Answer:
I think it is ∠DHB and ∠BHF
Step-by-step explanation:
Because they share a common side
Evan has a loyalty card good for a discount at his local hardware store. The item he
wants to buy is priced at $14, before discount and tax. After the discount, and before
tax, the price is $11.76. Find the percent discount.
Answer:
14-11.76 = 2.24
2.24×100
14 = 16%
since, the discount percentage is 16%
A large pizza costs $15.99. A second large pizza is 2/3 off. Using an estimate, approximately how much will it cost for 2 large pizzas?
A circle had a radius 20 cm. What is the area?
Answer:
use formula πr^2
Step-by-step explanation:
the area is 1257.14cm^2
Simplify: 299.081+59.26-95.32-365.195
Do 9a, 9b, 9c please quick due in 5 minutes also pleaseeee show step by step thanks I will mark brainlest and give extra points people please
Step-by-step explanation:
The answer to 9a is that A and B have to be on the right side of the number line but A has to be greater than B.
The first and second box for 9c is > .
12 years ago, a mother was twice as old as her son. their present age are in the ratio of 14:9. find their present ages.
Answer:
The presents age of the mom is 42 years old, and of the son is 27 years old.
Step-by-step explanation:
This question can be solved using a system of equations.
I am going to say that:
The mothers age is x.
The son's age is y.
12 years ago, a mother was twice as old as her son.
This means that:
[tex]x - 12 = 2(y - 12)[/tex]
[tex]x = 2y - 24 + 12[/tex]
[tex]x = 2y - 12[/tex]
Their present age are in the ratio of 14:9.
This means that:
[tex]\frac{x}{y} = \frac{14}{9}[/tex]
[tex]14y = 9x[/tex]
Since [tex]x = 2y - 12[/tex]
[tex]14y = 9(2y - 12)[/tex]
[tex]18y - 108 = 14y[/tex]
[tex]4y = 108[/tex]
[tex]y = \frac{108}{4}[/tex]
[tex]y = 27[/tex]
[tex]x = 2*27 - 12 = 54 - 12 = 42[/tex]
The presents age of the mom is 42 years old, and of the son is 27 years old.
square root of -20
someone please help
Answer:
I think its either 5 or 4 one of the 2
Simplify (0.24) × (-0.15)
Answer:
0.036
Step-by-step explanation:
Answer:
0.24 x 0.15 = 0.036
Step-by-step explanation:
First ignore the decimal points so you have 24*15 = 360.
You have to start at the right, and move the decimal point 4 places. So, you get 0.036. Pls give brainliest.
SOLVE: 3x+4y = 18 and -2x+4y = 8
Answer:
1, if solved for x = 6 - 4y/3 & y = 9/2 - 3x/4
2, x = -4 + 2y & y = 2 + x/2
Step-by-step explanation:
is a set that is contained in a larger set.
Answer:
I- What? yes?
Step-by-step explanation:
