Answer
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that the machine is underfilling the bags
Step-by-step-explanation:
From the question we are told that
The population mean is [tex]\mu = 420.0 \ g[/tex]
The sample size is n = 33 bags
The sample mean is [tex]\= x = 417.0 \ g[/tex]
The level of significance is [tex]\alpha = 0.01[/tex]
The variance is [tex]\sigma^2 = 576.0[/tex]
The null hypothesis is [tex]H_o : \mu = 420[/tex]
The alternative hypothesis is [tex]H_a : \mu < 420[/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma = \sqrt{\sigma^2}[/tex]
=> [tex]\sigma = \sqrt{576 }[/tex]
=> [tex]\sigma = 24[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{ \= x - \sigma }{ \frac{\sigma}{\sqrt{n} } }[/tex]
=> [tex]z = \frac{417 - 420 }{ \frac{24}{ \sqrt{ 33} } }[/tex]
=> [tex]z = -0.71807[/tex]
From the z table the area under the normal curve to the left corresponding to -0.71807 is
[tex]p-value = P(Z < -0.71807 ) = 0.23636[/tex]
Generally looking at the values we see that
[tex]p-value > \alpha[/tex] , hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that the machine is underfilling the bags
According to a report in USA Today, more and more parents are helping their young adult children buy homes. You would like to construct a 90% confidence interval of the proportion of all young adults in Louisville, Kentucky, who received help from their parents in buying a home. How large a sample should you take so that the margin of error is no more than 0.06?
Answer:
The value is [tex]n = 188 [/tex]
Step-by-step explanation:
From the question we are told that
The margin of error is [tex]E = 0.06[/tex]
From the question we are told the confidence level is 90% , hence the level of significance is
[tex]\alpha = (100 - 90 ) \%[/tex]
=> [tex]\alpha = 0.10[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.645[/tex]
Generally will assume that the sample proportion young adults in Louisville, Kentucky, who received help from their parents in buying a home is [tex]\^ p = 0.5[/tex]
Generally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]
=> [tex]n = [\frac{1.645}{0.06 } ]^2 * 0.5 (1 - 0.5 ) [/tex]
=> [tex]n = 188 [/tex]
i need help with this one (T_T)
Dertermine the quotient of 3/7 divided by 2/3 pls help
Answer: 9/14
Step-by-step explanation:
hope this helps!
Which equation represents A, the area in square centimeters of the
rectangle below?
23 cm
16
cm
O A. A= 23+ 16
O B. A = (2x 23) + (2 x 16)
O C. A = 23 x 16
O D. A= (23x 16) x 2
Answer:
C - formula of area of rectangle is l×w
so 23×16
William earns straight commission as a real estate agent. Last month his total sales were $971,168. If William earns a 3% rate of commission, what was his gross income last month?
Answer:
he earned $29,135.04
Step-by-step explanation:
to get answer you multiply total sales by .03
The answer is $29,135.04
The number of adult Americans from a random sample of n adults who support a bill proposing to extend daylight savings time is a binomial random variable. Assume that its probability will be approximated using the normal distribution. Describe the area under the normal curve that will be computed in order to determine the probability that more than Americans support the bill.
Answer:
Right of X = 635.5
Step-by-step explanation:
By using the normal approximation to the Binomial random variable, we usually make use of continuity correction.
According to the rule of continuity;
P(X ≤ k) becomes P( X ≤ K + 0.5)
P(X < K) becomes P(X < K - 0.5)
P(X ≥ K) becomes P(X ≥ K - 0.5)
P(X > K) becomes P(X > K + 0.5)
P(X = K) becomes P(K - 0.5 ≤ X ≤ K + 0.5)
From the given question, Assume that we are to determine the probability that more than 635 Americans support the bill.
Then we use the > sign.
∴
P(X > K ) becomes P(X > K + 0.5)
P(X > 635) becomes P(X > 635 + 0.5)
⇒ P(X > 635.5) tot the right.
Right of X = 635.5
What is the slope of the following equation? y =- 1/2×+1
Answer:
-1/2
Step-by-step explanation:
Answer: -1/2
Reason: In the equation of y = mx + b. The m is the slope, and the b is the y intercept, so that is how I figured out the Slope of the equation. I hope this helps, and Happy Holidays! :)
Help help help help help plss
Answer:
Last one
Step-by-step explanation:
Answer:
48 divided by 4= 12
Step-by-step explanation:
i suck at math srry
You currently make $18.32 an hour, get time and a half for anything over 40 hours, and a 10% commission on
all sales for the month. Determine your gross monthly salary given that your sales on average are $7,891 per
month and you work 5 hours of overtime a week.
a. $4,011.78
b. $4,132.95
C. $4,269.90
d. $4,320.12
Answer: b
Step-by-step explanation:
The correct answer is:
C) $4269.90.
Explanation:
40 hours per week at 18.32:
40*18.32 = 732.80.
Over time is time and a half; this means:
18.32*1.5=27.48 per hour overtime.
5 hours of overtime per week would be:
27.48*5=137.40.
Together this makes:
732.80+137.40=870.20 per week.
There are 4 weeks in a month;
4*870.20=3480.80.
You make 10% commission on the sales; 10% = 0.1.
0.1*7891=789.10.
Add this to the monthly income:
3480.80+789.10=4269.90.
Which of the following is equal to 4 2/3 divided by 3 1/2 ? (2 points)
a.
4 2/3 times 3 1/2
b.
14/3 times 2/7
c.
14/3 times 7/2
d.
42/3 times 2/31
Answer:
c I'm to 100 percent sure but if not it's b it's around 14 for sure
Which of the following expressions is a correct interpretation of the expression 2-(-7)
PLEASE ANSWER NOW!!! DURNING A QUIZ
Answer:
B
Step-by-step explanation:
Because you are subtracting a negative number from a positive number, the two negatives will cancel each other out and it will move to the right.
The original price of an iPad is $429 the sale price 30% off the original price what is the sale price of the iPad
the calculator but I think it might be #143000
Answer:
sale price is therefore $300.30
Step-by-step explanation:
100% - 30% = 70%
0.70 * $429 = 300.30
The sale price is therefore $300.30
Please mark brainliest and have a nice day :)
Please help due today!!!!
Answer:2)75% 3)36 ounces 4)667 5)90 problems 6)4680
Step-by-step explanation:
Think these r correct. 2) 24/32 then multiply by 100=75%. 3)90% of 40=36. 4)580 x 1.15 (multiplier) which equals 667. 5)81/90 is 90% so the denominator is all the problems. 6)65% of 7200 is 4680.
I need the answers to this ASAP
Answer:
First Answer: A = $ 4,247.03
A = P + I where
P (principal) = $ 4,000.00
I (interest) = $ 247.03
Second Answer : A = $ 6,325.22
A = P + I where
P (principal) = $ 5,500.00
I (interest) = $ 825.22
Third Answer: A = $ 7,735.55
A = P + I where
P (principal) = $ 7,000.00
I (interest) = $ 735.5
Fourth Answer: A = $ 7,735.55
A = P + I where
P (principal) = $ 7,000.00
I (interest) = $ 735.55
Step-by-step explanation:
HOPE IT HELPS MARK ME BRAINLIEST :)
A rectangle is drawn so the width is 4 inches longer than the height. If the rectangle's diagonal measurement is 46 inches, find the height.
Give your answer rounded to 1 decimal place.
Inches.
Answer:
30.5 iches
Step-by-step explanation:
Can you simplify the below equation
[tex]\sqrt{(\sqrt{21} -2\sqrt{7}) ^2}[/tex]
Answer:
nope
Step-by-step explanation:
literally impossible
Which set of numbers represents the RANGE for the following table
x -3 4 6 -12
y 5 -6 2 0
A
{−6,0,2,5}
B
{4, 5, 6, 12}
C
{−3,4,6,12}
D
{0, 5, 6, 2}
Answer:
The range of the table is:
Range R = {-6, 0, 2, 5}
Hence, option A is true.
Step-by-step explanation:
Given the table
x -3 4 6 -12
y 5 -6 2 0
Determining the range:
We know that the range of a table consists of all the y-values of the given points.
From the given table, it is clear that the y-values are:
y = 5, -6, 2, 0
Thus, the range of the relation in ascending order is:
Range R = {-6, 0, 2, 5}
Please note that the duplicated elements in the range, if any, are written only once.
Therefore, the range of the table is:
Range R = {-6, 0, 2, 5}
Hence, option A is true.
Cecily is comparing two checking accounts. Checking account A has a monthly fee of $16 and a per-check fee of $0.08, while checking account B has monthly fee of $14 and a per-check fee of $0.12. She want to know how many checks she would need to write per month for the accounts to charge the same amount in fees.
Part III: What equation can be set up to solve for the number of checks Cecily would need to write per month for the accounts to charge the same amount in fees?
Part IV: How many checks would Cecily need to write per month for the accounts to charge the same amount in fees?
Part 3
Checking account A has a monthly fee of $16 and a per-check fee of $0.08
If she writes x checks, where x is some nonnegative whole number, then she is charged an additional 0.08x dollars on top of the 16 dollar fee.
The total cost of checking account A is 0.08x+16 dollars.
The total cost of account B is 0.12x dollars for similar reasoning. We don't have a monthly fee, but the cost per check is higher.
Set the two expressions equal to one another to get your answer.
Answer: 0.08x+16 = 0.12x
==============================================
Part 4
Let's solve the equation we set up in part 3
0.08x+16 = 0.12x
16 = 0.12x-0.08x
16 = 0.04x
0.04x = 16
x = 16/0.04
x = 400
If Cecily wrote 400 checks per month, then the cost of each account would be the same.
For account A, it would cost her 0.08*x+16 = 0.08*400+16 = 48 dollars
For account B, it would cost her 0.12*x = 0.12*400 = 48 dollars.
Answer: 400 checks per month
What is the difference of the fractions represented in the model?
The coolor below holds 10 gallons. How many quarts will the jug hold?
40 quarts
20 quarts
160 quarts
20 quarts
Is k=4 a solution of 4 K + 7=7 k-1
Answer:
k=8/3
Step-by-step explanation:
Let's solve your equation step-by-step.
4k+7=7k−1
Step 1: Subtract 7k from both sides.
4k+7−7k=7k−1−7k
−3k+7=−1
Step 2: Subtract 7 from both sides.
−3k+7−7=−1−7
−3k=−8
Step 3: Divide both sides by -3.
−3k
−3
=
−8
−3
k=
8
3
The value of k is equal to 8/3 for the given expression.
What is an expression?Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.
The given expression is 4 K + 7=7 k-1, the value of k is calculated as,
4K + 7=7k-1
Separate the like terms in the above equation and solve for the value of k,
4K + 7=7k-1
7k - 4k = 7 + 1
3k = 8
k = 8/3
Therefore, the value of k will be 8/3 in the given equation. The value of k = 4 is wrong.
To know more about an expression follow
https://brainly.com/question/4365680
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The ratio of the number of silver watches to the number of gold watches in a shop is 2:3. Which of the following best describes the number of silver and gold watches in the shop?
Answer:
let it snow
Step-by-step explanation:
merry christmas
Which quadrant are the following points located:
(3, –2)
A.
4
B.
2
C.
3
D.
1
Answer:
A
Step-by-step explanation:
x is positive and y is negative
when you subtract numbers what are some things you should remember
There are y boats on a lake.
There are 6 people in each boat.
Write an expression, in terms of y, for the total number of people in the boats.
Answer:
I hope this may help u
Step-by-step explanation:
6×y
In 20 free throw attempts, Raul made 8. Based on this data, what is a reasonable estimate of the probability that Raul will make his next free throw?
Answer:
40%.
Step-by-step explanation:
Given that Raul made 8 of his 20 free throw attempts, it could be argued that he was 40% efficient on those free throws. This then 8/20 is equal to 0.40. Therefore, following this reasoning, it would be logical to say that Raul has a 40% chance of making his next shot, since that is his hitting percentage so far.
please help needed today
Answer:
-9
Step-by-step explanation:it is 2.5 diffrence for each place on the graph so 2.5 times 30 (cause 60 and 90 have a 30 point diffrence) would give you 75 and seince the numbers are decresing to the right side i subtracted 75 from 66 and the awnser is -9. hope this helps and sorry my spelling is bad
A cookie costs $1.95. How much would 15 cookies cost at the same price per cookie?
Answer:
cost of cookie = $1.95
cost of 15 cookies = $1.95 *15
cost of 15 cookies = $29.25
Step-by-step explanation:
What is the value of x 39 (2x+1)
Answer:
2xx_{39}+x_{39}
Step-by-step explanation:
x 39 ( 2 x + 1 )
Use the distributive property to multiply x_{39} by 2x+1.
2x_{39}x+x_{39}
2xx_{39}+x_{39}
Solve the following system of equations graphically on the set of axes below.
Y=1/3x+6 y=-5/3x-6
Answer:
I can not solve it in the system of the image, but i will give you the graph so you can copy it, or at least see how it is done.
First, we have the lines:
y = (1/3)*x + 6
y = (-5/3)*x - 6
To graph these lines, you must find two points for the lines and then draw a line that connects the points.
To do it, you can evaluate each line in two different values of x, for example for the first line we can have:
y(0) = (1/3)*0 + 6 = 6 (then we have the point (0, 6))
y(3) = (1/3)*3 + 6 = 7 (then we have the point (3, 7))
And for the second line, we will have:
y(0) = (-5/3)*0 - 6 = -6 (then we have the point (0, -6))
y(3) = -(5/3)*3 - 6 = -11 (then we have the point (-3, -11))
Now with those points we can graph the lines, and the solution of the system of equation will be the point where the two lines intersect.
The graphs of the lines are shown below:
Where the grey line is the first one, and the green is the second.
In the graph, you can see that the lines intersect in the point (-6, 4)
Then the solution for the system is x = -6, and y = 4.