Answer:
29.25
Step-by-step explanation:
First find the discount
45 *35%
45*.35
15.75
Subtract this from the original price
45-15.75
29.25
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:
2. Find the mean number of tornadoes
per year.
Basically i need to find the median of one number. Does anyone know the median of 44? Thx
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)
I NEED THE ANSER TO NUMBER 9 And 11
Answer:1. the 1 one do a half base×height ( 1/2 × 9×17).
2. the second one do 15 ×18 and 20×9 then subtract the2 answers
=15×8=270 20×9=180 270-180=90.
=90
please mark me the brainlest.
Evaluate the expression below:
7 • (10 + 3 ) – 82
Answer:
Its 9.
Step-by-step explanation:
First you do the math inside the parenthesis (13), then your gonna multiply 7 by the numbers you got in the parenthesis (7*13), finally subtract 82 from 7*13 and you get your answer, 9.
( 10+3)-82= -69
13- 82 =69
Question 1 of 25
This table shows the population of owls in a park in different years. The
quadratic regression equation that models these data is
y -1,34x2 - 10,75x - 11.3
Year
Number of owls
1
0
2
2
3
7
4
14
6
4
Using this model, the predicted number of owls in year 8 is about - 11. Does
this prediction make sense? Why or why not?
PREVIOUS
Answer:
No, it doesn't make sense, as we cannot have a negative population of owls.
Step-by-step explanation:
Obtaining a the quadratic model :
y = -1,34x2 - 10,75x - 11.3 ; by fitting the data above ;
To obtain the number of owls after 8 years, we have ;
y = -1,34x2 + 10,75x - 11.3
put x = 8 in the equation
y = -1,34(8)^2 + 10.75(8) - 11.3
y = - 85.76 + 86 - 11.3
y = - 11.06
y = - 11
This figure dies not make sense, as we cannot have a negative population of a certain specie such as owls at any given time.
Answer:
No, because you can't have a negative number of owls.
Step-by-step explanation:
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
What is the distance between the coordinates (5,5) and (10,2)? Round your
answer to the nearest tenth.
Answer:
√34
Step-by-step explanation:
√(x2 - x1)² + (y2 - y1)²
√(10 - 5)² + (2 - 5)²
√(5)² + (-3)²
√25 + 9
√34
= 5.8
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.............
PLEASE HELP!!!!!!!
How much force is required (in Newtons) to accelerate a 12-kg bicycle, along
with its 50-kg rider, at 2 m/s2?
Give your answer as a number.
Answer:
[tex]124\:\mathrm{N}[/tex]
Step-by-step explanation:
From Newton's 2nd Law, we have [tex]\Sigma F=ma[/tex].
What we're given:
[tex]m[/tex] of [tex]50+12=\textbf{62\:\mathrm{kg}}[/tex] [tex]a[/tex] of [tex]2\:\mathrm{m/s^2}[/tex]Substituting given values, we get:
[tex]F=62\cdot 2=\boxed{124\:\mathrm{N}}[/tex]
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!
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
What is the best definition of the domain of a relation
Answer:
All of the values that can go into a relation or function (input) are called the domain. ... The domain is the set of all first elements of ordered pairs (x-coordinates). The range is the set of all second elements of ordered pairs (y-coordinates). Only the elements "used" by the relation or function constitute the range.
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
30 points
Percentage question, show if 435 is 71% of a higher number what is 7% of that higher number found.
Answer:
7%x = 42.88732394377
Step-by-step explanation:
.71x = 435
x = 435/.71
x = 612.676056338
.07x =612.676056338 * .07
.07x = 42.8873239437
7%x = 42.8873239437
