Answer:
C. 11.60 ounces to 12.60 ounces
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean 12.10, standard deviation 0.25.
In which range will the amount of water dispensed be found 95% of the time?
By the Empirical Rule, within 2 standard deviations of the mean. So
12.10 - 2*0.25 = 12.10 - 0.5 = 11.60
12.10 + 2*0.25 = 12.10 + 0.5 = 12.6
So the correct answer is given by option C.
Help... do I add or divide?
he owner of a local supermarket wants to estimate the difference between the average number of gallons of milk sold per day on weekdays and weekends. The owner samples 5 weekdays and finds an average of 259.23 gallons of milk sold on those days with a standard deviation of 34.713. 10 (total) Saturdays and Sundays are sampled and the average number of gallons sold is 365.12 with a standard deviation of 48.297. Construct a 90% confidence interval to estimate the difference of (average number of gallons sold on weekdays - average number of gallons sold on weekends). Assume the population standard deviations are the same for both weekdays and weekends.
Answer:
90% confidence interval is ( -149.114, -62.666 )
Step-by-step explanation:
Given the data in the question;
Sample 1 Sample 2
x"₁ = 259.23 x"₂ = 365.12
s₁ = 34.713 s₂ = 48.297
n₁ = 5 n₂ = 10
With 90% confidence interval for μ₁ - μ₂ { using equal variance assumption }
significance level ∝ = 1 - 90% = 1 - 0.90 = 0.1
Since we are to assume that variance are equal and they are know, we will use pooled variance;
Degree of freedom DF = n₁ + n₂ - 2 = 5 + 10 - 2 = 13
Now, pooled estimate of variance will be;
[tex]S_p^2[/tex] = [ ( n₁ - 1 )s₁² + ( n₂ - 1)s₂² ] / [ ( n₁ - 1 ) + ( n₂ - 1 ) ]
we substitute
[tex]S_p^2[/tex] = [ ( 5 - 1 )(34.713)² + ( 10 - 1)(48.297)² ] / [ ( 5 - 1 ) + ( 10 - 1 ) ]
[tex]S_p^2[/tex] = [ ( 4 × 1204.9923) + ( 9 × 2332.6 ) ] / [ 4 + 9 ]
[tex]S_p^2[/tex] = [ 4819.9692 + 20993.4 ] / [ 13 ]
[tex]S_p^2[/tex] = 25813.3692 / 13
[tex]S_p^2[/tex] = 1985.64378
Now the Standard Error will be;
[tex]S_{x1-x2[/tex] = √[ ( [tex]S_p^2[/tex] / n₁ ) + ( [tex]S_p^2[/tex] / n₂ ) ]
we substitute
[tex]S_{x1-x2[/tex] = √[ ( 1985.64378 / 5 ) + ( 1985.64378 / 10 ) ]
[tex]S_{x1-x2[/tex] = √[ 397.128756 + 198.564378 ]
[tex]S_{x1-x2[/tex] = √595.693134
[tex]S_{x1-x2[/tex] = 24.4068
Critical Value = [tex]t_{\frac{\alpha }{2}, df[/tex] = [tex]t_{0.05, df=13[/tex] = 1.771 { t-table }
So,
Margin of Error E = [tex]t_{\frac{\alpha }{2}, df[/tex] × [ ( [tex]S_p^2[/tex] / n₁ ) + ( [tex]S_p^2[/tex] / n₂ ) ]
we substitute
Margin of Error E = 1.771 × 24.4068
Margin of Error E = 43.224
Point Estimate = x₁ - x₂ = 259.23 - 365.12 = -105.89
So, Limits of 90% CI will be; x₁ - x₂ ± E
Lower Limit = x₁ - x₂ - E = -105.89 - 43.224 = -149.114
Upper Limit = x₁ - x₂ - E = -105.89 + 43.224 = -62.666
Therefore, 90% confidence interval is ( -149.114, -62.666 )
If a seed is planted, it has a 75% chance of growing into a healthy plant.
If 6 seeds are planted, what is the probability that exactly 4 don't grow?
Answer:
It is binomial:
p= 0.75 = 75%
1-p = 0.25 = 25%
N = 10
k=7
"seven successes in 10 trials"
(10 choose 7) (0.75)^7 ( 0.25)^3 =
(10*9*8 / 3*2) * (0.75)^7 ( 0.25)^3 =
(5*3*8) (0.75)^7 ( 0.25)^3
120 (0.75)^7 ( 0.25)^3
= 0.25028228759765625
or just over 25%
Step-by-step explanation:
how do you solve the formula for an unknown variable in terms of the known variables? For context, the question deals with principal investments.
Can someone please help me?
Answer:
A and C
Step-by-step explanation:
Normal distribution is characterized by a symmetrical mean and two tails (_/\_ like this but a bit more curvy)
0.088 is more than 0.78, right?
Hi there!
»»————- ★ ————-««
I believe your answer is:
No.
[tex]0.088 < 0.78[/tex]
»»————- ★ ————-««
Here’s why:
0.088 can be described as "eighty-eight thousandths". 0.78 can be described as "seventy-eight hundredths."Thousandths has a lesser value than hundredths. 0.088 is less than 0.78, not greater than.»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
A motorcycle that usually sells for $400 is marked down to $300. What is the markdown percent?
Answer:
25%
Step-by-step explanation:
HELP ASAP!! WILL GIVE BRAINLIEST!!!! FULL ANSWERS ONLY!!!!!!
Find the x and y intercepts of the equation. Express your answers as points
5x+7y=-140
X-Intercept =
Y-Intercept =
Step-by-step explanation:
the answer is in the image above
The cost of a large cake at a bakery is $21.00. The cost of a small cake is
$8.25. The bakery also charges a sales tax of 8.25% and a delivery cost of
$10.50 for each order. The following expression represents the cost of an
(1) order
1.0825(21x + 8.25y) + 10.5
What does the term (21x + 8.25y) represent?
A А
the total cost of the order before delivery
the total delivery cost of the order
B
the total cost of the large cakes ordered
the subtotal cost of all the cakes ordered
before tax and delivery
Answer:
The Subtotal cost of all the cakes before tax and delivery
Step-by-step explanation:
(21x+8.25y)
21 is the price of 1 large cake and X is the number of cakes they want to purchase not counting tax and delivery fee.
8.25 is the price of 1 small cake and Y is the number of cakes they want to purchase not counting tax and delivery fee.
Which graph represents a function?
Answer:
The 4th graph represents a function
Step-by-step explanation:
trust bro
4th graph is a function
Option D is the correct answer
The sales tax for an item is 8%. The sales tax for an item that costs $130.19 is
Answer:
Step-by-step explanation:
Answer:
The sale tax is $10.42
Which equation represents the graphed function?
y=-3x + 3
y = 3x - 3
y = 3x - 1/3
y = -1/2x + 3
Which statement is true?
Question 18 options:
A)
– |–13| = 13
B)
|–13| = 13
C)
– |13| = 13
D)
|13| = – 13
answer
A. - ( -13) = 13
thank. u
Answer:
b
Step-by-step explanation:
A is incorrect cause it would be a negative
C would also be a negative
D is a positive
so yea
The cost to rent a car at one agency is $24.50 per day plus an additional $15.99 fee for insurance. At a different agency, the cost to rent a car is
$27.50 per day, but the insurance is only an additional $3.99 fee. Which equation could be used to find the number of days, d, at which the
rental fee is the same for both agencies?
Answer:
Step-by-step explanation:
Formulas:
C = 24.50d + 15.99
C = 27.50d + 3.99
HELP PLSSSSSS I will give Brainlyest
Answer:
51/8
Step-by-step explanation:
LCM of 8, 4 and 2 = 8
7/4*2=14/8
3/2*4=12/8
15/8+14/8+12/8=41/8 So Jerry played 41/8 or you can say 4 1/8 hours with his friends
Answer:
[tex]5\frac{1}{8}[/tex] hours
Step-by-step explanation:
First find the common denominator for all numbers.
The common denominator for all of those numbers will be 8.
[tex]1\frac{3}{4}=1\frac{6}{8}[/tex]
[tex]\frac{3}{2}[/tex] The fraction is improper so we must simplify it!
[tex]1\frac{1}{2}[/tex] Then convert it to a mixed number having a common denominator of 8!
[tex]1\frac{1}{2} =1\frac{4}{8}[/tex]
Final Results: [tex]1\frac{6}{8} + 1\frac{4}{8} +1\frac{7}{8} =5\frac{1}{8}[/tex]
Final Answer: [tex]5\frac{1}{8}[/tex]
9. I am a 3-digit number. My hundreds digit is the square of my ones digit. My tens digit is the product of my hundreds digit and my ones di
Answer:
482
Step-by-step explanation:
4 is the square of 2 and 2*4 = 8.
Consider the quadratic function.
f(p) = p2 – 8p – 5
What are the values of the coefficients and the constant in the function?
Answer:
ax^ + bx + c
squared coefficient = 1
linear coefficient = -8
constant = -5
Step-by-step explanation:
5/6 x 2/5 Help pls!!!
Step-by-step explanation:
10/30
hope this helps.............
The diagram represents two statements: p and q.
Which represents region B?
р v q
p —> q
p ^ q
q —> p
Answer:
p v q
Step-by-step explanation:
The width of a rectangle is 3 inches less than its length, and the area is 88 square inches. What are the length and width of the rectangle?
[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]
Remember - The formula to find out the area of a rectangle is l × w where l = length & w = width.Let the length of a rectangle be ' l ' . We're provided - Width ( w ) = l - 3 & area of rectangle ( A ) = 88 square inches. We're asked to find out the length and width of the rectangle. Let's begin ![tex] \large{ \tt{❁ \: SOLUTION}} : [/tex]
[tex] \large{ \tt{♡ \: AREA \: OF \: RECTANGLE \: ( \: A \: ) = \bf l \times w}}[/tex]
Plug the values and then simplify :[tex] \large{ \text{⟶ \: 88 = l(l - 3)}}[/tex]
[tex] \large{ \bf{⟶ \: 88 = {l}^{2} - 3 l}}[/tex]
[tex] \large{ \bf{⟶ {l}^{2} - 3l = 88 }}[/tex]
[tex] \large{ \bf{⟶ \: {l}^{2} - 3l - 88 = 0}}[/tex]
[tex] \large{ \bf{ ⟶{l}^{2} - (11 - 8)l - 88 = 0}}[/tex]
[tex] \large{ \bf{⟶ {l}^{2} - 11l + 8l - 88 = 0}}[/tex]
[tex] \large{ \bf{⟶ \: l(l - 11) + 8(l - 11) = 0}}[/tex]
[tex] \large{ \bf{⟶ \: (l - 11)(l + 8) = 0}}[/tex]
Either :[tex] \large{ \bf{⟶ \: l - 11 = 0}} [/tex]
[tex] \large{ \bf{⟶l = 11 \: in}}[/tex]
Or :[tex] \large{ \bf{⟶l + 8 = 0}}[/tex]
[tex] \large{ \bf{⟶l = - 8 \: in}}[/tex]
We found out the two values of length of given rectangle [ i.e 11 in & 8 in ]. Since the length can't be in negative , we consider length of the rectangle as ' 11 in ' .[tex] \large{ \tt{❈ \: NOW, \: REPLACING \: VALUE}} : [/tex]
[tex] \large{ \tt{⤑ \: Width(w) = l - 3 = 11 \times 3 = \underline{ \tt{8 \: in}}}}[/tex]
[tex] \underline{ \underline{ \large{ \tt{☄OUR \: FINAL \: ANSWER \: }}} }: [/tex]
[tex] \large{ \boxed{\tt{Length = \underline{ 11 \: in}}}}[/tex][tex] \large{ \boxed{ \tt{Width = \underline{8 \: in}}}}[/tex]☂ Yippie! we're done!
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
If you know how to solve this, Please answer it. Thank You
The first one to answer the question right, will get Brainlist!
I PROMISE!!!!!
Answer:
x=10
Step-by-step explanation:
If x=4.5 when y is 9, x is always half of y. x^1 /y^1 = x^2/ y^2
is 1/2 = 1/4
area is measured in square centimeters of parallelogram below do not include unions in your answer
Answer:
21 cm²
21 square centimeters
Step-by-step explanation:
A = bh
A = 3 × 7
A = 21
Answer:
you swim 20inches and then you walk 50
Step-by-step explanation:
just because
The equation of the line that passes through the point (1,5) and is parallel to the linex + 3y =6
Answer:
Y=3x+2
Step-by-step explanation:
first you have to put it in the formula y = mx + c
Y=3-x
in this format c = 0 so there's no intercept
Y=3x+c
The parallel line will have the same gradient but different intercept.
Now we substitute the coordinates(1,5) into the formula.
y = 5
x = 1
5=(3*1)+c
5=3+c
Now we make c the subject.
c=2
So the answer is:Y=3x+2
You are interested in getting an investment portfolio started with any extra money you make from your part time job while also going to school. While flipping through the latest edition of Money magazine, you read an article that of a survey of magazine subscribers, 164 were randomly selected and analyzed. A 95% confidence interval was constructed for the proportion of all subscribers who made money in the previous year in their investments, which was ( 0.6904 , 0.8218 ). What is the correct interpretation of this confidence interval
Answer:
We are 95% confident that the proportion of all Money magazine subscribers that made money in the previous year from their investments is between 0.6904 and 0.8218
Step-by-step explanation:
The confidence interval gives a range of values for which a population proportion will fall based on a given level of confidence, in this case it is 95%. This interval is calculated using the sample proportion. The sample proportion in this case is based on a number of samples examined. The interval we obtain in this case (0.6904; 0.8218) is the estimated range which we expect the population proportion to fall ; with a 95% confidence.
find the domain and range of the function f(x) = x -|2 cos x|
The domain and range of the function f(x) = x -|2 cos x| includes all real numbers.
Domain and Range of a functionThe domain and range of a function simply refers to the set of all possible inputs and outputs of a function respectively.
On this note, the function, f(x) = x -|2 cos x| given has domain and range in the set of all real numbers....This follows from the fact that the function is linear.
Read more on domain and range of a function;
https://brainly.com/question/10197594
A tourist shop earns a 20% profit on all sale of flip-flops. If the total in flip-flop sales was $1,280. What is the profit?
Answer:
profit is 256 dollars
Step-by-step explanation:
20% of 1,280 is 256 dollars
Can someone please help me?
Answer:
A
Step-by-step explanation:
it takes 45 hours to plant 100 trees, so his rate is 100/45 trees per hour.
and it takes rose 40 hrs to plant the 100 trees, so her rate is 100/40 trees per hour
So add those together to get (100/45+100/40)
and then multiply them by P(which is in hours) to equal 100
(100/45+100/40)p=100
then divide by 100 both sides to get
p/45+p/40=1
I need some help please What's |5| + |–7|?
Answer:
hello there![tex]\left|5\right|+\left|-7\right|[/tex]
[tex]rule =a,\:a\ge 0[/tex]
[tex]|5|=5[/tex]
[tex]\mathrm{Apply\:absolute\:rule}:\quad \left|-a\right|=a[/tex]
[tex]\left|-7\right|=7[/tex]
[tex]5+7=[/tex]
[tex]12[/tex]
hope this helps you..
Which system of inequalities is graphed?? Help please!!!
Answer:
It's the second inequalities. y<x and y (more than or equal to) -x
Answer:
[tex]y<x\\y\geq -x[/tex]
Step-by-step explanation:
[tex]y<x\\y\geq -x[/tex]
Identify a possible measure of the angle sketched in standard position
195 degrees
175 degrees
-195 degrees
-175 degrees
9514 1404 393
Answer:
-195 degrees
Step-by-step explanation:
The angle is shown as being measured CW, so in the reverse of the positive direction. The angle's terminal ray seems to be above the -x axis, making its measure more than 180°. Of the choices offered, the best seems to be ...
-195 degrees
