uppose you have purchased a filling machine for candy bags that is supposed to fill each bag with 16 oz of candy. Assume that the weights of filled bags are approximately normally distributed. A random sample of 10 bags yields the following data (in oz): 15.87, 16.02, 15.78, 15.83, 15.69, 15.81, 16.04, 15.81, 15.92, 16.10 On the basis of this data, can you conclude that the mean fill weight is actually less than 16 oz? Let LaTeX: \alpha=5\%α = 5 %. What would be the appropriate null and alternative hypothesis?
Answer:
Null, H0: μ ≥ 16
Alternative ; H1: μ < 16
reject H0
Step-by-step explanation:
Null, H0: μ ≥ 16
Alternative ; H1: μ < 16
To compute the test statistic :
We need the sample mean and sample standard deviation :
15.87, 16.02, 15.78, 15.83, 15.69, 15.81, 16.04, 15.81, 15.92, 16.10
Using calculator :
Sample mean, m = 15.887
Standard deviation = 0.13
Test statistic :
(m - μ) / s/sqrt(n)
(15.887 - 16) / 0.13/sqrt(10)
-0.113 / 0.0411096
= - 2.749
Tcritical at 95%
Tn-1, 0.025
T10,0.025 = 2.262
Since the test statistic value is less than the critical value, reject H0
What is Max’s final number of his number if his starting number is 7?
Answer:
30
Step-by-step explanation:
(n+8)=2(7+8)=2(15)=30
Answer:
30
Step-by-step explanation:
4) The length of a rectangle is 7 inches more than the width. The perimeter of the rectangle
is 178 inches. Find the width of the rectangle.
Answer:
41 inches
please mark brainliest
Step-by-step explanation:
l= 7+w
perimeter = 2(l+w) =2(7+w +w)= 2(7+2w)= 14+ 4w
178= 14+4w
4w =178-14= 164
w= 164/4 = 41 inches
Which strategy uses place value to correctly solve for 321 x 4?
Answer:
300x4 =1200
20x4 = 80
1x4 =8
1288
Step-by-step explanation:
Break apart 321 = 300+20+ 1
This is the hundreds, tens, and ones
Then multiply each by 4
Add all together to get answer
Y=20 when x=2 find y when x=5
5) Graph the following inequality. (3 points) 6x-2y>8
Answer:
Step-by-step explanation:
Evaluate the following expression if x=4 28x - 9 (2x+ 6)
Answer:
-14
Step-by-step explanation:
substitute 4 for x
28(4) - 9 (2(4)+ 6)
multiply
112-9(8+6)
add numbers
112-9(14)
multiply
112-126
subtract
-14
for which set of problilities would events a and b be independent
Answer:
Events A and B are independent if and only if P(A and B) = P(A)P(B). If you know these probabilities, you can check to see if this holds.
Step-by-step explanation:
:)
Use mental math, estimation, and the division algorithm to evaluate the expressions.
What is the answer ?
118.4 divided by 6.4 ?
Answer:
18.5
Step-by-step explanation:
6. Seven-tenth of a number is 28. What is the number? *
Answer:
40
Step-by-step explanation:
28 divided by 7= 4 (to get the number of 1/10)
4 x 10= 40
Answer:
40
Step-by-step explanation:
7/10x = 28
28/0.7 = x
40 = x
Which of the following graphs represents the solution to the following system
of inequalities?
3x + 4y <12
2x - y24
Answer:
I am pretty sure it is most likely answer D.
Step-by-step explanation:
Hope this helps! Have a great day and good luck!
The ground temperature at airport is 12 degrees. The temperature decreases by 5.2 degrees for every mile above ground. What would be temperature outside plane located at 3 miles above the airport
Answer:
The outside plane located at 3 miles above the airport is of -3.6 degrees.
Step-by-step explanation:
The ground temperature at airport is 12 degrees. The temperature decreases by 5.2 degrees for every mile above ground.
This means that the temperature in n miles above ground is given by:
[tex]T(n) = 12 - 5.2n[/tex]
What would be temperature outside plane located at 3 miles above the airport
This is T(3). So
[tex]T(3) = 12 - 5.2*3 = 12 - 15.6 = -3.6[/tex]
The outside plane located at 3 miles above the airport is of -3.6 degrees.
Given the graph below, find GH.
Please answer only if you know it’s for a test
Answer:
GH=[tex]\sqrt{(-2-0)^{2}+(-3-3)^{2} }[/tex]
=[tex]\sqrt{40}[/tex]
Step-by-step explanation:
Answer:
root 40 or 2 root 10
Step-by-step explanation:
You have to use the formula...
a^2 + b^2 = c^2
So...
2^2 + 6^2 = c^2
4 + 36 = 40
Which means...
Answer is root 40 or simplified... 2 root 10
Hope this helps :)
Let me know if there are any mistakes!!
which of the following is the slope of the line that passes through the points (-2,8) and (10,-1)
at the local flea market, nike and reebok sneakers were being sold. all bike sneakers sold for $75.00 and reebok’s were being sold for $65.00. if 180 people bought sneakers for a total of $12,550, how many of each pair were sold?
Answer:
69.72
Step-by-step explanation:
Thats the answer if its not plz tell me
What is the distance between the points(-2, 1) and (1, 3)? Round answer to the nearest tenth.
Answer:
.
Step-by-step explanation:
NEED HELP ASAP PLEASE HELP
Answer:
the second one or b. :)
Step-by-step explanation:
Which is equivalent to square root 8 to the third power
Answer:
Step-by-step explanation:
IMPORTANT: ∛8ˣ is not the square root of 8³. ∛ means cube root.
∛x = x^(⅓)
A self-serve frozen yogurt store sells servings up to 12 ounces. It charges $0.50 per ounce for a serving between 0 and 8 ounces, and $4 for any serving greater than 8 ounces and up to 12 ounces.
Answer:The answer is graph B.
Step-by-step explanation: It keeps going up at 0.50 because that is the price PER OUNCE for a serving between 0-8 ounces. The line on the graph is going straight at 4 because that is the price for ANY SERVING over 8 ounces/up to 12 ounces.
Laura bought y yards of fabric on Saturday. The next day, she went back and bought 3 more yards than she did on Saturday. If each yard of fabric costs $5, write an expression in simplest form for the total amount of money she spent on both days.
Answer:
(y+3)*5
im pretty sure this is correct
help me like right now plzzzzzzzzzzz
Answer:The answer is 8
Step-by-step explanation:
Randy has 53 inches of ribbon that he cuts into 6 pieces of equal length. What is the equal length of each piece of ribbon in inches
Answer:
9
Step-by-step explanation:
The reason being 9 is because the keyword was equally so if you need to add an additional inch, it will make it equal.
Your answer
1 point
Practice Question #7: There are 24 students in Ms. Watters Social Studies
class. 5/8 of these students earned an A on the geography unit
assessment. How many students earned an A? (enter only the number) *
what is 9+2 I WILL MARK BRAINIEST
Answer:
11 ! have a great dayy:) !
HELP!!!!!!!!!!!!!!!!
Answer:
c
Step-by-step explanation:
;)
Which of these equations are true when the value of y is 27?
I. −9 + y = 18
II. −18 + y = −45
III. 5y = 135
IV. 2y = 29
Answer:
I. -9 + y = 18
Step-by-step explanation:
Double-check to see if I was correct
The equations I. and III. satisfies the condition when y = 27
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The value of y = 27
So , substituting the value of y in all of the given equations , we get
I.
-9 + y = 18
when y = 27
Substituting the value of y , we get
-9 + 27 = 18
18 = 18
So , I. satisfies the condition and the equation is TRUE
II.
-18 + y = 45
when y = 27
Substituting the value of y , we get
-18 + 27 = 45
9 ≠ 45
So , II. does not satisfy the condition and the equation is FALSE
III.
5y = 135
when y = 27
Substituting the value of y , we get
5 x 27 = 135
135 = 135
So , III. satisfies the condition and the equation is TRUE
IV.
2y = 49
when y = 27
Substituting the value of y , we get
2 x 27 = 29
54 ≠ 29
So , IV. does not satisfy the condition and the equation is FALSE
Hence , the equations I. and III. are TRUE
To learn more about equations click :
https://brainly.com/question/10413253
#SPJ2
help please! look at question
Exercise 4.3. Determine the exact probability of drawing a 10 from a shuffled pinochle deck. (In a pinochle deck, there are 48 cards. There are six values: 9, 10, Jack, Queen, King, Ace. There are two copies of each value in each of the standard four suits: hearts, diamonds, clubs, spades.)
Answer:
[tex]\frac{1}{6}[/tex] probability of drawing a 10 from a shuffled pinochle deck.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
Total of 48 cards.
Of those, there are 2*4 = 8 cards that are 10. So
[tex]p = \frac{8}{48} = \frac{1}{6}[/tex]
[tex]\frac{1}{6}[/tex] probability of drawing a 10 from a shuffled pinochle deck.
Arithmetic question: You need to serve 58 people, 2 slices of pizza each. (Each pizza will be cut into 12 slices each.) (1) How many pieces of pizza do you need altogether? Identify the original improper fraction (or its reduced form) needed to solve this problem. Calculate the solution to give a mixed number answer? (2) How many pizzas do you need to order and how many extra slices will you have? Show any work needed to answer questions.
Answer:
5 order pizza
Step-by-step explanation:
12+12+12+12+12=60 I have 2 extra pizza
Dora and boots are decorating cupcakes for a bake sale. Dora already has 25 cupcakes decorated and can decorate 10 cupcakes per hour. Boots has no cupcakes decorated yet but can decorate 15 cupcakes per hour. When will Dora and boots have the same number of cupcakes decorated and how many will they have
Answer: after 5 hours, 75 cupcakes
Step-by-step explanation: