Answer:
The upper bound on the length of a randomly chosen nail from all nails manufactured by the company is 2.004 cm.
Step-by-step explanation:
According to the Central Limit Theorem if we have an unknown population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.
Then, the mean of the sample means is given by,
[tex]\mu_{\bar x}=\bar x[/tex]
And the standard deviation of the sample means (also known as the standard error) is given by,
[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]
In this case the sample of nails selected is quite large, i.e. n = 100 > 30.
So, the sampling distribution of sample mean length of nails will be approximately normal.
Then according to the Empirical rule, 95% of the normal distribution is contained in the range,
[tex]\mu\pm 2\cdot \frac{s}{\sqrt{n}}[/tex]
Compute the upper bound as follows:
[tex]\text{Upper Bound}=\mu\pm 2\cdot \frac{s}{\sqrt{n}}[/tex]
[tex]=2+(2\times\frac{0.002}{\sqrt{100}})\\\\=2+0.0004\\\\=2.004[/tex]
Thus, the upper bound on the length of a randomly chosen nail from all nails manufactured by the company is 2.004 cm.
Write an ordered pair for each point graphed below.
Answer:
[tex]\boxed{(-1,4)}[/tex]
Step-by-step explanation:
The point is located in Quadrant II of the graph, where x-values are negative and y-values are positive.
Each marking on the graph represents one unit of distance. The two axes meet at the origin, where the coordinate point is equal to [tex](0,0)[/tex].
So, you can count backwards once from the origin to get your x-value ⇒ [tex]-1[/tex] and count up upwards four times from [tex]x=-1[/tex] to get your y-value ⇒ [tex]4[/tex].
Finally, place these in a coordinate point [tex](x,y)[/tex] ⇒ [tex]\boxed{(-1,4)}[/tex].
Answer:
(-1, 4)
Step-by-step explanation:
The point lies on the line x = -1.
The point lies on the line y = 4.
Where both lines intersect, that is the coordinate.
(x, y)
(-1, 4)
Plz help me with the hw I do not have points please help me please I will give you the questions and send it on the comment -4=-1/8e
Answer:
32
Step-by-step explanation:
-4=-1/8e
multiply both sides by -8
-8(-4)=-1/8(-8)e
32=e
Answer:
-32
Step-by-step explanation:
1/8 x8/1=1, so you would also multiply -4 by 8 and get -32
help me plz on this i just need the answer Use the given parent function f(x)=|x| to graph g(x)=|x|+5. Use the ray tool and select two points to graph each ray.
Answer:
no
Step-by-step explanation:
the answer is no because the quantum formula states that a quantum state is a mathematical entity that provides a probability distribution for the outcomes of each possible measurement on a system. Quantum states that cannot be written as a mixture of other states are called pure quantum states, while all other states are called mixed quantum states.
Please answer both questions
Answer:
which question......
Richie and his brother have a paper route. Together they can deliver all of the papers in 40 minutes, and Richie can do it alone in 90 minutes. Richie’s brother slept in one day, leaving Richie to deliver alone for 30 minutes. How long must the two of them work together to finish delivering the newspapers?
Answer
30 minutes
Step-by-step explanation:
Answer: approximately 26.66667 minutes
This converts to 26 minutes, 40 seconds
=================================================
Explanation:
Let's say there are 360 newspapers that need to be delivered.
The two brothers can get the job done in 40 minutes if they work together. Their rate is 360/40 = 9 newspapers per minute.
Richie can do the full job alone in 90 minutes. So his rate would be 360/90 = 4 newspapers per minute. In 30 minutes, he delivers 30*4 = 120 newspapers. This leaves 360 - 120 = 240 left over.
Divide this over the rate of 9 papers per minute to get 240/9 = 26.66667 approximately. It takes about 26.66667 minutes to finish up delivering the 240 remaining newspapers if the brothers work together.
The portion 0.66667 multiplies with 60 to get 0.66667*60 = 40.0002 which rounds to 40 (we have rounding error going on). This means
26.66667 minutes = 26 minutes, 40 seconds
Bert’s cab company charges $1.00 plus an additional $3.00 per mile for a ride. Madeline’s cab company charges $3.00 plus an additional $2.00 per mile for a ride. Write a system of linear equations that shows the cost in dollars, y, for a cab ride of x miles for each cab drive At what distance, in miles, will the cost be the same for both companies? Show your work
Find an equation of variation where y varies jointly as x and the square of z, and where y=70, when x=21 and z=5.
Answer:
[tex]y = 181.75xz^2[/tex]
Step-by-step explanation:
Given
y jointly varies to x and z^2
Required
Find the equation
We start by writing out the variation;
[tex]y\ \alpha\ xz^2[/tex]
Write as equation
[tex]y = kxz^2[/tex]
Substitute values of x,y and z
[tex]70 = k * 21 * 25^2[/tex]
[tex]70 = k * 21 * 25 * 25[/tex]
[tex]70 = k * 13125[/tex]
Divide both sides by 7
[tex]\frac{70}{13125} = \frac{k * 131251}{13125}[/tex]
[tex]\frac{70}{13125} = k[/tex]
[tex]187.5 = k[/tex]
[tex]k = 181.75[/tex]
Substitute k in [tex]y = kxz^2[/tex]
[tex]y = 181.75xz^2[/tex]
Can someone answer a-c please!
In your own words, what does it mean when something has an extrinsic value? What is an
example of an item having extrinsic value?
Answer using complete sentences.
Answer:
Extrinsic value means to have the motivation or desire to do something by yourself. To have the motivation to complete a task or goal without outside help.
Step-by-step explanation:
One way of having extrinsic value is that you go to school and you want to go to Germany. Your school fortunately has a student exchange program, so you apply hoping that you get in.
Now you go home, you get the best grades so people recognize you. You teach yourself German and you do all the things that you need to do in order to go.
What makes this extrinsic is that no one forced you to go, you did all this work by will. Your own motivation.
If y varies jointly with x and z and y=40 when x=10 and z=9 find z when x =55 and y=105
Answer:
z = 189/44
Step-by-step explanation:
The "varies jointly" relationship can be expressed by ...
y = kxz
We can find k from the given values.
40 = k(10)(9)
40/90 = k = 4/9 . . . divide by the coefficient of k
Now we want to find z for given values of x and y. That can be found from ...
y = (4/9)xz
9y/(4x) = z . . . . . multiply by 9/(4x)
Filling in the new numbers, we have ...
z = 9·105/(4·55)
z = 4 13/44 = 189/44 ≈ 4.2954...(repeating 54)
Liam is making chocolate chip cookies. The recipe calls for 1 cup of sugar for every 3 cups of flour. Liam only has 2 cups of flour.
How much sugar should Liam use?
Explain why your answer is correct.
Answer:
2/3 cups of sugar
Step-by-step explanation:
Answer:
2/3 cups of sugar
Step-by-step explanation:
If 3 cups of flour: 1 cup of sugar
2 cups of flour: x cup of sugar
Cross multiply
3x = 2 × 1
3 3
x = 2/3
My answer is correct because every 3 cups of flour is a full cup (1) but because he has 2 cups of flour, the cup of sugar is going to be less than 1 because 3 cups of flour is bigger than 2 cups of flour.
What is the length of the diagonal of a TV that measures 2.25 feet high and 4 feet wide?
Answer: Rounded, the diagonal is 4.6 feet
Step-by-step explanation: Use the Pythagorean Theorem: c² = a² + b²
Then take the square root of c² to find the length
2.25² =5.0625 This is a²
4² = 16 This is b² Add a² + b² to get c²
5.o625 + 16 = 21.0625 This is c²
√21.0625 = 4.589389938 This is the square root.
Round this to common measurements or "significant digits" 4.6 feet.
Using a System to Break Even
A company’s weekly revenue, in thousands, is modeled by the equation R = -p2 + 14p, where p is the price of the product it makes. The company is considering hiring an outside source to distribute its products, which will cost the company 4p + 24 thousand dollars per week.
Part B
Create a system of equations for the break-even point(s) of the company’s product to assist with the decision of hiring the distributor. Assume the distributor’s cost is the only cost that needs to be considered.
Answer: P^2 - 10p + 24 = 0
Step-by-step explanation:
Given that a company’s weekly revenue, in thousands, is modeled by the equation
R = -p2 + 14p,
where p is the price of the product it makes. The company is considering hiring an outside source to distribute its products, which will cost the company 4p + 24 thousand dollars per week.
If the company want to break even, the cost of hiring distributors will be equal to the revenue per week.
Therefore,
-P^2 + 14p = 4p + 24
Collect the like terms
-P^2 + 14p - 4p - 24 = 0
-P^2 + 10p - 24 = 0
Multiply all by minus sign
P^2 - 10p + 24 = 0
Guess the rule and write down the missing number: 1 5 6 11 _ 28
Answer:
1 5 6 11 17 28
Step-by-step explanation:
Hi there! :)
Answer:
17 is the missing number.
Step-by-step explanation:
The rule is to add the previous two numbers together to get the next number. For example:
1 + 5 = 6
5 + 6 = 11
Using this rule to solve for the missing number gets us:
6 + 11 = 17
We can check this work as well:
11 + 17 = 28.
Therefore, 17 is the missing number.
If Triangle Q S R is congruent to triangle Y X Z describes two triangles, which other statement is also true? A: Triangle Q R S is congruent to Triangle X Y Z // B: Triangle Q R S is congruent to Triangle Y Z X // C: Triangle Q R S is congruent to Triangle Z X Y // D: Triangle Q R S is congruent to Triangle X Z Y
Answer:
ANSER IS B FIRST IS INCORRECT
Step-by-step explanation:
The true statement:
ΔQRS ≅ ΔYZX.
Triangle QRS is congruent to Triangle YZX.
The correct option is C.
What is congruent?In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.
Given:
Triangle QSR is congruent to triangle YXZ.
ΔQSR ≅ ΔYXZ.
From the given choices:
The correct order of the congruent triangles.
ΔQRS ≅ ΔYZX.
Therefore, ΔQRS ≅ ΔYZX.
To learn more about the congruent;
https://brainly.com/question/12413243
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Use the De Morgan law that states: ~(p ∧ q) is equivalent to ~ p ∨ ~ q to write an equivalent English statement for the statement. It is not the case that a gun and a nose are both weapons. A gun is not a weapon or a nose is not a weapon. guns are not noses. A gun is a weapon but a nose is not. A gun is not a weapon and a nose is not a weapon.
Answer:
Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!
Step-by-step explanation:
Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!
Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!
The equivalent statement for the given statement - It is not the case that a gun and a nose are both weapons is A gun is not a weapon or a nose is not a weapon.
What is De Morgan's Law?The De Morgan's law states that → ~(p ∧ q) is same as (~ p ∨ ~ q). Theoretically, we can write it as → Not (A and B) is the same as Not A or Not B.
Given is the following statement - It is not the case that a gun and a nose are both weapons.
Now, we know that the De Morgan's law states that → Not (A and B) is the same as Not A or Not B. In the statement given -
A = gun
B = nose
~(p ∧ q) = Not(A ∧ B)
So, we can write it as -
~(p ∧ q) = Not(A ∧ B) = A gun is not a weapon or a nose is not a weapon.
where -
A gun is not a weapon → ~p
or → ∨
a nose is not a weapon → ~q
Therefore, the equivalent statement for the given statement - It is not the case that a gun and a nose are both weapons is A gun is not a weapon or a nose is not a weapon.
To solve more questions on De Morgan's Law, visit the link below-
https://brainly.com/question/13265106
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Find the table with unit rates greater than the unit range in the graph. Then arrange these tables in order from least to greatest unit rate?
Answer:
Except table 2, all tables have greater unit rate than the graph.
The required arrangements of tables is
Table 2 < Table 1 < Table 3 < Table 5 < Table 4 < table 7 < Table 6
Step-by-step explanation:
Formula for unit rate :
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
From the given graph it is clear that the line passes through the points (0,0) and (11,20). So, unit rat of graph is
[tex]m=\dfrac{20-0}{11-0}=1.8181...[/tex]
Similarly, we need to calculate the unit rate for each table.
[tex]m_1=\dfrac{26-13}{14-7}=\dfrac{13}{7}=1.85714[/tex]
[tex]m_2=\dfrac{18-9}{10-5}=\dfrac{9}{5}=1.8[/tex]
[tex]m_3=\dfrac{34-17}{18-9}=\dfrac{17}{9}=1.88..[/tex]
[tex]m_4=\dfrac{42-21}{22-11}=\dfrac{21}{11}=1.9090..[/tex]
[tex]m_5=\dfrac{38-19}{20-10}=\dfrac{19}{10}=1.9[/tex]
[tex]m_6=\dfrac{50-25}{26-13}=\dfrac{25}{13}=1.923[/tex]
[tex]m_7=\dfrac{46-23}{24-12}=\dfrac{23}{12}=1.9166..[/tex]
Except table 2, all tables have greater unit rate than the graph.
The required arrangement of tables is
Table 2 < Table 1 < Table 3 < Table 5 < Table 4 < Table 7 < Table 6
Answer:
table 3 table 5 table 4 table 7 table 6
Step-by-step explanation:
I just took the test
in 50 gram portion of cereal 8 grams of it are sugar which of the following represents the present of the 50 grams that is sugar
a)4
b)8
c)16
d)24
Answer:
C
Step-by-step explanation:
8/50= 0.16
Answer:
C = 8/50 = 0.16 * 100 = 16
Step-by-step explanation:
Claire is cycling at a speed of 12 miles per hour. Han is cycling at a speed of 8 miles per hour. If they start at the same position, chosen at zero, and bike in straight opposite directions, what will the distance between them be after 45 minutes?
Answer:
45 minutes is 3/4 of an hour, so find 3/4 of 12.
Divide 12 by 4 to get 1/4 of 12. That is 3.
3/4 is 3 of those, so multiply it by 3 to get 9.
So, she will have biked 9 miles.
Answer:
180 miles.
Step-by-step explanation:
First, we have to find out how far Claire is after 45 minutes:
12 x 45 = 540
Now, we need to find out how far Han is after 45 minutes:
8 x 45 = 360
Lastly, we need to subtract how far Claire went by how far Han went:
540 - 360 = 180
Final answer:
The distance between Claire and Han after 45 minutes will be 180 miles.
Hope this helped! Have a nice day!
What is (12!) - (10!)?
Answer:
step 1
12! =479001600
step2
10!=3628800
step 3
479001600-3628800=
475372800
ASAP PLZZZ Find the area of the shaded polygons:
Step-by-step explanation:
You can use the Pick's theorem:
[tex]A=i+\dfrac{b}{2}-1[/tex]
where
i - number of lattice points in the interior located in the polygon
b - number of lattice points on the boundary placed on the polygon's perimeter
[tex]1.\\i= 5;\ b=12\\\\A=5+\dfrac{12}{2}-1=5+6-1=10\\\\2.\\i=3;\ b=4\\\\A=3+\dfrac{4}{2}-1=3+2-1=4\\\\3.\\i=5;\ b=10\\\\A=5+\dfrac{10}{2}-1=5+5-1=9[/tex]
Answer:
Of course, the Pick's theorem is the way to solve this question, but consider:
Another approach is using topography:
Gauss's Area Calculation Formula:
[tex]$A=\frac{1}{2} \sum_{i=1}^{n} (x_{i} \cdot y_{i+1}-y_{i} \cdot x_{i+1})$[/tex]
Taking the purple one:
We have 6 points. I will name them:
[tex]A(0, 4);B(0, 0);C(1, 1);D(4, 0);E(4, 4);F(1, 2);[/tex]
[tex]$D=\begin{vmatrix}0& 0& 1 & 4& 4 & 1 & 0\\ 4& 0 & 1 & 0& 4 & 2 & 4 \end{vmatrix}$[/tex]
[tex]D=28-8=20[/tex]
[tex]$A=\frac{20}{2} =10$[/tex]
1. What solid is represented by this net? (Image 1). A. cylinder B. triangular pyramid C. rectangular prism D. triangular prism E. cone F. rectangular pyramid 2. Choose all the solids from the list below. A. Rectangle B. Circle C. Cone D. Pyramid E. Prism F. Cylinder 3. The volume of the following figure = ___________ cm3. (Image 2) A. 288 B. 72 C. 216 D. 144
Answer:
1) TRIANGULAR PRISM
3) d. 144 cm3
Step-by-step explanation:
1) When figuring out what shape a net is, look at the two shapes that are different. In this case, its the triangles. Then take a look at the other shapes. If it has a rectangle base then you know its a prism. If it has a different shpes base then you know its pyramid. Now just combine the two key words you found. Triangle + Prism = Triangular Prism
2) A solid is something that is firm and stable. So it is not a liquid or solid. Pretty much everything that you listed is a solid.
3) The formula for finding the volume of a triangular prism is bxhxl divided by 2. So it would be 8x3x12= 288 divided by 2= 144 cm3
Answer:
Triangular prism.
Step-by-step explanation:
Determine the quotient. Write your answer in scientific notation.
(8.4 * 10%) + (1.2 x 102)
Answer:
0.84+122.4x is your answer. hope this helped
Step-by-step explanation:
Rewrite the formula to determine the number of tickets they need to sell
Answer:
n = [tex]\frac{p}{(d-c)}[/tex]
Step-by-step explanation:
The goal is to solve for n meaning n needs to be by itself. In the current formula, n is multiplied by (d-c). Get n by itself by dividing both sides by (d-c).
Use the Venn diagram to list the elements of the set in the roster form
Answer:
Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!
Step-by-step explanation:
Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!
Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!
Please solve for x and y. If you do, also write the steps you used.
Answer: a = 8, x = 56, y = 68
Step-by-step explanation:
Was there a description that stated this was a parallelogram?
Since that information was not provided....
I used the Law of Cosines to find x = 56°.
Congruent sides implies congruent angles so Center-Q-R = 56°.
Triangle Sum Theorem results in y = 68°
Vertical angles results in S-Center-P = 68°
Triangle sum Theorem results in S-P-Center = 68°
Now we can see that alternate interior angles are congruent, therefore PQRS is a parallelogram. Diagonals are bisected at the intersection so a = 8
Help help help help
Plz
Answer:
Step-by-step explanation:
Probability of getting any number less than 6 = 2/6 =1/3
So, It is unlikely
Answer:
2/6 or 1/3
Step-by-step explanation:
the two umbers less than 6 or 2 and 4. In total on the dice there is 6 numbers. so 2/6 is tha answer and then we spimlify
Hiroto paid $4.28 in sales tax for the items that he purchased.
Percents
Total
100%
If the sales tax rate was 6.25 percent, what was the total cost of the items before tax was added?
$0.27
$0.68
$26.75
$68.48
Answer:
$68.48
Step-by-step explanation:
You want to find cost such that ...
6.25% × cost = $4.28
Dividing by the coefficient of cost, we get ...
cost = $4.28/0.0625 = $68.48
Answer:
the answer would be 68.48
Step-by-step explanation:
Which of the following graphs represents the equation below? y= 0.666667x + 3
Answer:
the last graph
Step-by-step explanation:
the y intercept is clearly shown as three and then using rise over run you can see that the slope is 2/3 or 0.667
If a store is selling packs of gum at 3 for $0.99, how much would 12 packs cost?
Answer:
$3.96.
Step-by-step explanation:
3 cost $0.99, so 12 packs would cost 12/3 = 4 times as much.
0.99 * 4 = 3.96.
12 packs would cost $3.96.
Hope this helps!
Hello! The answer will be below! :3
The answer to your question is 3.96.
Because we have to take the info that’s given like we first have to divide.
12 divided by 3 is 4
Now we multiply.
0.99 * 4 = 3.96
So the answer is 3.96
Hope this helps! :)
⭐️Have a wonderful day!⭐️