Step-by-step explanation:
The “fun size” of a Snickers bar is supposed to weigh 20 grams. Because the penalty for selling Snickers candy bars that weigh less than 20 grams is so severe, the manufacturer calibrates the machine so that the mean weight is 20.2 grams. The quality control manager at the candy company is concerned that the candy produced does not weigh 20.2 grams. She obtains a random sample of 64 candy bars and weighs them. She finds that the mean weight of this sample is 20.05 grams with standard deviation 0.72. By answering the following questions, test the claim that the Snickers bars have a mean weight less than 20.2 grams at the level of α = 0.01.
1. Select from the following list all the requirements that are met in this problem scenario for this test: (circle your choice(s))
a. The population is approximately normal.
b. The population standard deviation is known.
c. The sample taken is a random sample.
d. The population standard deviation is unknown. e
. The degrees of freedom is 0.01.
f. The sample size is greater than 30.
2. Which of the following statements is correct?
a) Parameters describe sample characteristics.
b) Statistics describe population characteristics.
c) We use statistics to estimate the value of parameters.
d) We use parameters to estimate the value of statistics
Expert Answer
The percent of Snickers bars which have a mass more than 21.5 grams is equal to 2.28%.
To find the percentage of Snickers bars with a mass more than 21.5 grams,
use the concept of standard normal distribution.
Calculate the z-score for 21.5 grams.
The z-score is a measure of how many standard deviations a particular value is away from the mean. It can be calculated using the formula:
z = (x - μ) / σ
where x is the value we want to find the z-score for, μ is the mean, and σ is the standard deviation.
Here
x = 21.5 grams
μ = 20.1 grams (mean)
σ = 0.7 grams (standard deviation)
z = (21.5 - 20.1) / 0.7
z = 1.4 / 0.7
z = 2
The percentage of values greater than the z-score in the standard normal distribution calculator.
The percentage of values greater than 2 standard deviations from the mean is approximately 2.28%.
Therefore, approximately 2.28 percent of Snickers bars have a mass more than 21.5 grams.
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It’s number 6. I’ll give brainliest
PLZ ANSWER THIS QUICK! THANKS!
Answer:
a) 300m
b) 15 miles
Step-by-step explanation:
a) 1 : 30 000
= 1x 30 000
= 30 000cm
= 30 000cm/ 100 Representing in metres
= 300m
b) 1 : 6
= 1x 2.5 : 6x 2.5
= 2.5 : 15
= 15 miles
1. (3x + 7) + (8x + 2)
8 x 101 which one is it?
8
8O
800
Answer:
808
Step-by-step explanation:
Jill is building a wooden raised bed garden for her vegetable she wants the frame to have dimension X feet by X +3 feet if she wants the garden to have a maximum area of 50 ft.² what are the possible values of X
Answer: 0ft < X ≤ 5.73ft
Step-by-step explanation:
In this case, we have a rectangle.
For a rectangle of length L and width W, the area is:
A = L*W.
And we have:
L = X
W = X + 3ft.
Then the area will be:
A = X*(X + 3ft) = X^2 + 3ft*X.
And we want to have a maximum area of 50ft^2.
Then we can write:
A = X^2 + 3ft*X ≤ 50ft^2
Now let's solve this for X.
Now, the first thing we can see is that both coefficients in our quadratic equation are positive, so as the absolute value of X increases, also does the whole equation.
Then makes sense start for the upper limit of X, this is when:
X^2 + 3ft*X = 50ft^2.
Now we can solve the quadratic equation:
X^2 + 3ft*X - 50ft^2 = 0
Applying the Bhaskara formula, the solutions are:
[tex]X = \frac{-3ft +- \sqrt{(3ft)^2 - 4*1*(-50ft^2)} }{2} = \frac{-3ft +-14.46ft }{2}[/tex]
Then we have two solutions:
X = (-3ft - 14.46ft)/2 = -8.73 ft.
X = (-3ft + 14.46ft)/2 = 5.73 ft
Because X represents a distance, it can only be positive, then we must select the option X = 5.73ft.
This is the maximum value of X, and we will have:
0ft < X ≤ 5.73ft
Where the lower limit is there because we can not have X = 0ft, as this does not have physical meaning.
One car rental agency charges $0.29 per mile plus a $10 weekly fee. Another rental agency charges $.0.35 per mile with no fee. You need to rent the car for 3 weeks. Write and solve an equation to find the number of miles for which both agencies will charge the same.
Answer:
166.67 miles.
Step-by-step explanation:
let the number of mile for which the cost for both car rental be same is x mile
For first car rental
weekly fees charged = $10
cost of 1 mile = $0.29
cost of x miles = x*cost of 1 mile = $0.29x
total money charged by first car rental = $10 + $0.29x
For other car rental
weekly fees charged = 0
cost of 1 mile = $0.35
cost of x miles = x*cost of 1 mile = $0.35x
total money charged by other car rental = $0.29x
_______________________________________
since we have to find miles for which charges are same
thus
total money charged by first car rental = total money charged by other car rental
10 + 0.29x = 0.35x --------------------equation required
=> 10 = 0.35x - 0.29x
=> 10 = 0.06x
=> x = 10/0.06 = 166.67
Thus, the number of miles for which both agencies will charge the same is 166.67 miles.
Linda has outgrown the bike she rode when she was small. So, for her twelfth birthday, her parents surprise her with a five-speed Blaze Rider 2000! Linda has never had a bike with multiple speeds before, and she is eager to learn how it works. She starts by testing the middle speed. There is a proportional relationship between the number of times Linda pedals, x, and the number of times the wheels rotate, y. The equation that models this relationship is y=3x. How many times do the wheels rotate when Linda pedals 2 times? Write your answer as a whole number or decimal
Answer:
6 times
Step-by-step explanation:
Given the proportuonal relationship between exists between the number times Linda pedals (x) and the number of times wheels rotate (y) as ;
y = 3x
How many times do the wheels rotate when Linda pedals 2 times
Here, x = 2
From ; y = 3x
y = 3(2) = 6
Hence, wheel rotates 6 times.
Answer:
Step-by-step explanation:
can someone who KNOWS WHAT theyre doing and is good at angles please help
m1=51
m2=18
m3=123
m4=39
***remember the 180 rule, and supplementary/complementary angles!
180 rule: all triangle's internal angles add up to 180, this means if you know any two angles you can always find the last one
supplementary angles:
angles that add up to 180, 180 is a straight line so they can be found on almost all triangle problems.
if there is a straight line and you know one of the angles that is on the line, you can find the other one by subtracting it from 180
complementary angles:
same thing ^ but with 90
i hope my explanations make sense! let me know if you have any more questions :)
WHat is 9 to the the power of infinity timees the number of cubic inches
Answer:
...infinity cubic inches?
Step-by-step explanation:
Answer:
the first rectangle im pretty sure is 32
the second one is 12.8
Step-by-step explanation:
half of 8 is 4 and half of 25.6 is 12.8
A runner sprinted for 117 yards (yd). How many feet (ft) is this? First fill in the blank on the left side of the equation using one of the ratios. Then write your answer on the right side of the equation. ft mi yd 1760 yd 1 mi 3 ft 1 ft 12 in 1 yd Ratios: 1 mi 1760 yd 1 yd 3 ft 12 in 1 ft . in Х 117 yd 1 ft 0 x IK IT LOOKS CONFUSING SO LOOK AT THE PICTURE HELP ME PLEASE!!!!:)
Answer:
117 yd/1 x 3 ft/1 yd = 351 ft
Step-by-step explanation:
[tex]\frac{117}{1} * \frac{3}{1} = 351 ft[/tex]
A runner sprinted for 351 feet.
Given that, a runner sprinted for 117 yards (yd).
How to convert yards to feet?To convert a yard measurement to a foot measurement, multiply the length by the conversion ratio. The length in feet is equal to the yards multiplied by 3.
Here, multiply the ratio 117/1 by 3/1.
That is, 117 × 3 =351 ft
Therefore, a runner sprinted for 351 feet.
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The shoes cost 35.00 and the tax is 6.5%. How many tax will you pay on the shoes?
Answer:
The tax is 2.28
Step-by-step explanation:
Take the cost of the shoes and multiply by the tax rate
35 * 6.5%
Change to decimal form
35 * .065
2.275
Round to the nearest cent
2.28
The tax is 2.28
Ariana buys an ant farm from a store near her home. The ant farm’s price is $12, and the sales tax is 7%. What is the total price of the ant farm?
Answer:
$12.84
Step-by-step explanation:
Start by dividing 12 by 100 to get 0.12 to get 1% of the price of the ant farm.
Then multiply 0.12 by 107 to get the price + tax.
You'll end up with 12.84.
Then just add your units to get $12.84.
It takes 40 units of maple sap to produce 1 ounce of maple syrup. Jane and her family are bottling maple syrup in 20 -ounce bottles. She notices that they leave about 2 ounces of air every time they fill a bottle, to avoid overfill. How much maple sap did they need to collect to fill 15 bottles? How much less maple sap did they need than if they would have filled each bottle to the top? Express your answer as a negative number.
Answer:
10,800
-1200
Step-by-step explanation:
Given that :
40 units of maple sap = 1 ounce of maple syrup
Using a 20 - ounce bottle, 2 ounces of air is left
Ounces of actual syrup = (20 - 2) = 18 ounces
Number of maple sap required to fill 15 bottles :
Number of maple saps required to fill 18 ounces bottle :
40 units = 1 ounce
x = 18 ounces
Hence, for 18 ounces of maple syrup :
(40 * 18).= 720 units of maple sap
For 15 bottles of 18 ounces maple syrup:
(720 * 15) = 10,800 units of maple sap
If they had filled each bottle to the top:
(40 * 20 * 15) = 12000 units of maple sap
10,800 - 12000 = - 1200 units of maple sap
giving brain list ..
options:
C is the midpoint of BD
reflexive property
definition of midpoint
vertical angles
given
Answer:
1. A is congruent to C
2. Given
3. I think line ac is congruent to line ce, don't know the options
4. angle ABC is congruent to angle DCE
5. Possibly vertical angles
can you tell me the answer
What is the slope of the line that passes through the points (-5,7) and (10, 1)?
А
m = 5/2
B
m = -5/2
С
m = -2/5
D
m = 2/5
The points are (-5,7) and (10,1). The slope of the points is -2/5.
How to calculate a slope ?Any two different points on a line can be used to calculate the slope of any line. The slope of a line formula is used to determine the ratio of "vertical change" to "horizontal change" between two different points on a line.
Given that,
The points are (-5,7) and (10,1).
We have to find the slope of the points.
The relationship between how a line's y coordinate changes and how its x coordinate changes determines a line's slope. y and x are the net changes in the y and x coordinates, respectively. As a result, the change in y coordinate with regard to the change in x coordinate can be written as,
Slope of the points=[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
Here,
x₁=-5,
y₁=7
x₂=10
y₂=1
Slope of the points [tex]= \frac{1 - 7}{10 + 5}[/tex]
Slope of the points =(-6)/(15)
Slope of the points = -2/5
Therefore, the slope of the points is -2/5.
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HELP PLEASE HELP I’m doing geometry please help
Answer:
(4x - 10) + x = 90 degrees
x = 20
Highlands
The dot plots show rainfall totals for several spring
storms in highland areas and lowland areas.
What is the range of rainfall for the highland storms?
4 0 8 10 12 14 16 18 20 22 24 26 28 30 32
Lowlands
What is the range of rainfall for the lowland storms?
2 4 6 8 10 12 14 16 18 20 22 24 26 28 30
Answer:
30
26
Step-by-step explanation:
what 5-2 to the power of 5
Answer:
243
Step-by-step explanation:
(5-2) = 3
3 to the power of 5 is 3x3x3x3x3
3x3x3x3x3 = 243
Answer:
(5-2)^5= (3)^5 = 3*3*3*3*3 = 9*9*3 = 243
Step-by-step explanation:
8. A sequence can be generated by using 2n - 11. What are the first four terms in
the sequence?
Answer:
[tex]\bold{a_1=-9\,,\quad a_2=-7\,,\quad a_2=-5\,,\quad a_4=-3}[/tex]
Step-by-step explanation:
[tex]a_n=2n-11\\\\a_1=2(1)-11=2-11=-9\\\\a_2=2(2)-11=4-11=-7\\\\a_3=2(3)-11=6-11=-5\\\\a_4=2(4)-11=8-11=-3[/tex]
(essay)
I was suprised that i....
It was about Mathematics factoring polynomials
Answer:
yes you should be surprised
Antonio's dad bought gas for their family's ATV two weeks in a row. Last week, he bought 12 gallons for $35.40. This week, he bought 9 gallons for $25.83. How much more did Antonio's dad pay per gallon last week?
Answer: 0.08
Dont belive the dummy that said 0.30
Antonio's dad paid $ 0.08 per gallon more for the last week as compared to this week.
Given information:
Antonio's dad bought gas for their family's ATV two weeks in a row.
Last week, he bought 12 gallons for $35.40.
This week, he bought 9 gallons for $25.83.
So, the cost of one gallon for last week is,
[tex]\dfrac{35.40}{12}=2.95\$\rm\;per\;gallon[/tex]
The cost of one gallon for this week is,
[tex]\dfrac{25.83}{9}=2.87\$\rm\;per\;gallon[/tex]
So, the extra charge paid by his dad for the last week for one gallon will be,
[tex]2.95-2.87=0.08\$\;\rm per\;gallon[/tex]
Therefore, Antonio's dad paid $ 0.08 per gallon more for the last week as compared to this week.
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James is studying different kinds of weather.
Rain has water drops that are larger than 0.02 inch in diameter.
Small hailstones are less than 14 inch in diameter.
Complete the statement that best represents the different kinds of weather James studied. Select one correct answer from each box to complete the sentence.
A
B
C
D
E
F
G
H
Answer:
i got b and h{i hope this helps}
Step-by-step explanation:
yall play copter royale ?
Answer:
i do i am right noww lol
Step-by-step explanation:
My sister gave me $12 for my birthday. I now have 3 times as much as I did before. How much money did I have originally?
Answer:
36 is the answer
Tony is selling boxes of cookies. He charges $7 for the box plus $2 per cookie.One filled box sells for $35 how many cookies will fit in the box
Answer:
14
Step-by-step explanation
you start at 7$ then you add 2$ per cookie to get the total in this case you can fit 14 cookies for 35$
Maria receives a commission of 11.5% for each pair of shoes she sells. She earned $207 in commission last week. What was the dollar amount of shoes she sold?
The dollar amount of shoes she sold is $1800
Let the amount of the shoe sold e xWhat is commission?It is the amount earned on a product bought or sold.
If she receives a commission of 11.5% for each pair of shoes she sells and earned $207, the amount earned is calculated using the formula:
11.5% of x = 207
0.115x = 207
Divide both sides by 0.115
x = 207/0.115
x = $1800
Hence the dollar amount of shoes she sold is $1800
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Rounded 2.317 to the nearest thousand
Answer:
2.32
Step by Step Explanation:
5 and above, Give it a shove
1 rounds to 2 because of the 7
2.317 = 2.32
Write a biconditional statement for: A prime number has only 1 and itself as factors. What is the truth value?
Answer:
The statement is;
A number is a prime number if and only if it has 1 and itself as factors
The truth value of this statement is true T
Step-by-step explanation:
The biconditional statement will use the statements if and only if.
Thus, we have;
A number is a prime number if and only if it has only 1 and itself as factors
The truth value of the biconditional statement is T ( true)