As per the confidence interval, Lower Bound is 94.874 and the Upper Bound is 105.126
Sample Mean = 100
Sample Standard Deviation = 8
Sample Size = 20
Calculating the confidence interval -
Confidence Interval = Sample Mean ± (Critical Value) x (Standard Deviation / √(Sample Size))
Substituting the values
= 100 ± (2.860) x (8 / √20)
= 100 ± 2.860 x (8 / 4.472)
= 100 ± 2.860 x 1.789
= 100 ± 5.126
Calculating the lower bound -
Lower Bound = 100 - 5.126 = 94.874
Calculating the upper bound -
Upper Bound = 100 + 5.126 = 105.126
Read more about confidence interval on:
https://brainly.com/question/20309162
#SPJ4
16
Find the slope of the line that passes through the ordered pairs (3,5) and (35)
look
Answer:
3,5?
Step-by-step explanation:
Two sides of an isosceles triangle measures 20 in and 10 in. What is a possible value of the third side
what is the least common multiple (LCM) of 8 and 11 plz help
Answer:
wtv
Step-by-step explanation:
remove your answer
PLS HELP ON TIMER! I'll mark brainliest once I learn how to
Answer:
3/9
Step-by-step explanation:
Answer:
3/9
Step-by-step explanation:
Equivalent fraction of a given fraction is got by multiplying or dividing its numerator and denominator by the same whole number. For example, if we multiply the numerator and denominator of 2/3 by 4 we get 3/9
Hope this helps!!
make an outcome tree to show all possible combinations. you have three pairs of shorts four shirts, flip flops, and sneakers
The required number of combinations is 24.
Given that,
To make an outcome tree to show all possible combinations. you have three pairs of shorts four shirts, flip-flops, and sneakers.
In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In a combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.
Here,
flip flops
short 1 short 2 short 3
Shirt 1 shirt 2 shirts 3 shirts 4
Number of combinations = 12
sneakers
short 1 short 2 short 3
Shirt 1 shirt 2 shirts 3 shirts 4
Number of combinations = 12
Total number of combination = 12 + 12 = 24
Thus, the required number of combinations is 24.
Learn more about permutations and combinations here: https://brainly.com/question/2295036
#SPJ1
Help me with this!! NO FAKE ANSWERS!!
Answer:
Step-by-step explanation:
this is a similar triangle, so the side that is 6 and 18 will have the same ratio as the side 4 and x, then
6/18 = 4 / x
x = 4 * 18/6
x = 2 * 18 / 3
x = 36 /3
x = 12
nice :)
Which of the following statements about points are true? Check all that apply. A. Their size depends on their dimensions. B. Their sizes vary C. They have no size and no dimensions ting D. They have length but no height.
Explanation:
Points are locations in space or on a 2D flat plane. Think of an address to a house or perhaps longitude/latitude coordinates. Such locations do not have any width, length or height. There are no dimensions a point. Points are infinitely small. The only reason they appear to have a size is because otherwise we wouldn't be able to see the point locations.
This is why choices A B and D can be ruled out. Only choice C is true.
In question 1, you found the cubes of both positive and negative numbers. Does x = 8 have two solutions as x2 = 4 does? Why or why not?
No.
1) Because in the cubic root of 8, as below represented in this function:
\(\begin{gathered} f(x)\text{ =}\sqrt[3]{x} \\ f(8)\text{ =}\sqrt[3]{8}\text{ = 2} \\ f(-8)\text{ =}\sqrt[3]{-8\text{ }}\text{ =-2} \end{gathered}\)There is no other negative number that can be inserted in the Domain to yield a positive value in the Range.
Unlike, the quadratic radical function. For example:
\(\begin{gathered} f(x)\text{ =}\sqrt{x} \\ f(25)\text{ =+5 or -5} \\ (-5)^2=25and(5)^2=25 \end{gathered}\)8. The speed of a
delivery truck
varies inversely
with the time it
takes to reach its
destination. If the
truck takes 3 hours
to reach its
destination
traveling at a
constant speed of
50 miles per hour,
how long will it
take to reach the
same location
when it travels at a
constant speed of
60 miles per hour?
2 hours
2 1/3 hours
2.5 hours
2 2/3 hours
Answer:
2.5 hours
Step-by-step explanation:
If it takes 3 hours at 50 mph, it's traveling 150 miles (3 x 50)
150 miles at 60 mph is 2.5 hours (150/60)
If DE=8 and EF=3, what is DF?
If DE=8 and EF=3 then the length of DF is 8.54 units.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
DEF is a given triangle.
DE is the opposite side of the triangle.
EF is the adjacent side of the triangle.
DF is hypotenuse.
By using pythagoras theorem we find the DF.
DE²+EF²=DF²
8²+3²=DF²
64+9=DF²
73=DF²
Take square root on both sides
DF=√73=8.54
Hence, the length of DF is 8.54 units.
To learn more on trigonometry click:
https://brainly.com/question/25122835
#SPJ1
2.6 sq. cm X 3.1 cm
Answer 8.06 X 10-8 M*4
Step-by-step explanation: No Explanation Just Answer srry could think of a way to say it.
interquartile range of the wingspans of 74, 71, 75, 80, 67, 84, 77
Answer: 9
Step-by-step explanation:
Population size=7
Lower quartile=71
Upper quartile=80
67 Is or es el 67
Jajaja
What is a double replacement reaction example?
An example of a double replacement reaction is given below:
AgNO3 + NaCl → AgCl + NaNO3
A double replacement reaction, also known as a double displacement reaction or metathesis reaction, is a type of chemical reaction in which two compounds react with each other and swap cations or anions to generate two new compounds.
A general double replacement reaction is expressed as follows:
AB + CD → AD + CB
A double replacement reaction is illustrated below:
AgNO3 (silver nitrate) + NaCl (sodium chloride) → AgCl (silver chloride) + NaNO3 (sodium nitrate)
Silver nitrate and sodium chloride are combined in this process. Silver chloride (AgCl) is formed when the silver ion (Ag+) in silver nitrate replaces the sodium ion (Na+) in sodium chloride, whereas sodium nitrate (NO3-) is formed when the nitrate ion (NO3-) replaces the chloride ion (Cl-) in sodium chloride (NaNO3).
This reaction's balanced equation is:
AgNO3 + NaCl → AgCl + NaNO3
This sort of reaction is often utilised in salt synthesis and precipitation processes.
For more such questions on double replacement reaction, click on:
https://brainly.com/question/23918356
#SPJ4
a researcher interested in a data matrix that displays the frequency of some combination of possible responses to multiple categorical variables should construct a: a. marginal table b. perceptual map c. regression table d. contingency table
The researcher interested in analyzing the frequency of some combination of possible responses to multiple categorical variables should construct a contingency table.
A contingency table is a two-way table that displays the frequency of observations or counts for two or more categorical variables. The table is constructed by tabulating the counts or percentages of the variables in rows and columns. The contingency table can be used to identify relationships between variables and can be helpful in analyzing data and developing hypotheses.
In a contingency table, the frequency of observations is summarized in rows and columns, as well as in the margins. The marginal totals represent the total counts or percentages for each variable, and they are typically displayed at the bottom or the right side of the table.
The marginal totals provide an overview of the overall distribution of the variables and can be helpful in identifying patterns or trends. A researcher interested in analyzing multiple categorical variables may need to construct a multiple contingency table. This type of table displays the frequency of observations for more than two categorical variables.
The table is constructed by tabulating the counts or percentages of the variables in rows and columns, as well as in the margins. In summary, a researcher interested in analyzing the frequency of some combination of possible responses to multiple categorical variables should construct a contingency table.
The contingency table summarizes the frequency of observations in rows, columns, and margins, providing a comprehensive overview of the distribution of the variables. The table can be helpful in identifying relationships between variables and developing hypotheses.
To know more about variable click here
brainly.com/question/2466865
#SPJ11
Find the derivative of the function y=x^(x+8)
The derivative of the function is\((x - 8)x^{(x - 7)}\).
What is the derivative of a function?The pace at which the function is altering in relation to its input variable, frequently written as x, is the derivative. Geometrically, the slope of the tangent line to a function at a particular location can be used to understand the derivative of a function.
By the use of the chain rule;
\(dy/dx = dy/du * du/dx\\Let y = x^u\\dy /dx = ux^u-1\\dy/du = 1\)
Hence;
\(dy/dx = ux^u-1 * 1\\dy/dx = (x - 8)x^(x - 8) - 1\\dy/dx = (x - 8)x^(x - 7)\\\)
Learn more about derivative:https://brainly.com/question/30402352
#SPJ4
pls help, it is due now. Thank You so much to whoever helps!
Answer:
(7, -1)
Step-by-step explanation:
3x + 7y = 14
y = x - 8
3x + 7(x - 8) = 14
3x + 7x - 56 = 14
10x - 56 = 14
Add 56 to both sides.
10x = 70
Divide both sides by 10.
x = 7
3(7) + 7y = 14
21 + 7y = 14
Subtract 21 from both sides.
7y = -7
Divide both sides by 7.
y = -1
(7, -1)
Each year, a magazine compiles a list of the 400 richest Americans. As of September 19, 2012, 8 of the top 10 are as shown in the following table. Complete parts (a) through (c) below. Person Wealth ($ billions) Christy Walton and family 27.9 Warren Buffett 46.0 Charles Koch 31.0 David Koch 31.0 S. Robson Walton 26.1 Bill Gates 66.0 Jim Walton 26.8 Alice Walton 26.3 a. Find the mean. The mean is (Type an integer or decimal rounded to two decimal places as needed.) b. Find the median. The median is (Type an integer or decimal rounded to two decimal places as needed.) c. Find the mode(s). Select the correct choice below and, if necessary, fill in the answer box within your choice. OA. The mode(s) is(are) (Type an integer or a decimal. Do not round. Use a comma to separate answers as needed.) OB. There is no mode.
On solving the provided question we can say that - the answer of the quadratic equation is S(x) = ( 2 ) + ( 1 ) =3 \(P(x) = ( 2 ) * ( 1 ) =2\)
What is quadratic equation?A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. A quadratic equation is referred to as an equation of degree two in mathematics. As a result, this function's highest exponent is 2. Y = ax2 + bx + c, where a, b, and c are integers and a must be 0, gives the typical form of a square. These are all examples of quadratic equations: y = x2 + x3 + x + 1.
S(x) = ( ) + ( ) =3
\(P(x) = ( ) * ( ) =2\)
S(x) = ( 2 ) + ( 1 ) =3
\(P(x) = ( 2 ) * ( 1 ) =2\)
To know more about quadratic equation visit:
https://brainly.com/question/17177510
#SPJ4
Someone please help me with this question! Will give brainliest!
NO LINKS!!!!
Please help quickly! I need this for an exam!
An image of a rhombus is shown.
What is the area of the rhombus?
Answer:
18*15=270cm²
Step-by-step explanation:
-3x-2=
-3x-2=
-3x1.5=
-3x3=
Answer:
a,6. b, 6 c, -4.5. d, -9
Step-by-step explanation:
a, -3*-2
3*2. b/c of -ve * -ve is positive the answer comes 6
b, same as a
c, -3*1.5
- 4.5
d, -3*3
- 9
help asap will give brainliest!!!!
Answer:45 & 90
Step-by-step explanation:
Answer:
∠x = 159° and ∠y = 149°
Step-by-step explanation:
∠a = 31°
∠b = 52°
∠x = ?
∠y = ?
∠a and ∠y are supplementary angles so:
∠a + ∠y = 180
31 + ∠y = 180
∠y = 180 - 31
∠y = 149°
∠b also has a supplementary angle which is not labeled in the question so let's label that ∠c.
∠b + ∠c = 180
52 + ∠c = 180
∠c = 180 - 52
∠c = 128°
∠a and ∠c are both inside a triangle formed by all the lines crossing with each other. Since the sum of angles inside a triangle is 180°, find the third angle in this triangle (∠d) using all the values we were given and solved for:
∠a + ∠c + ∠d = 180
31 + 128 + ∠d = 180
∠d = 180 - 31 - 128
∠d = 21°
∠d and ∠x are supplementary angles so:
∠d + ∠x = 180
21 + ∠x = 180
∠x = 180 - 21
∠x = 159°
∠x = 159° and ∠y = 149°
If I want to convert 4.42 kg into lbs, what is the starting place in terms of the conversion process?
To convert 4.42 kg into pounds, the starting place in the conversion process is to understand the conversion factor between kilograms and pounds.
The conversion factor between kilograms (kg) and pounds (lbs) is 1 kg = 2.20462 lbs. This means that 1 kilogram is equal to approximately 2.20462 pounds. To convert a given weight in kilograms to pounds, you need to multiply the weight in kilograms by the conversion factor.
In this case, you want to convert 4.42 kg into pounds. The starting place in the conversion process is to use the conversion factor:
4.42 kg * 2.20462 lbs/kg = 9.7314044 lbs
By multiplying the given weight in kilograms (4.42 kg) by the conversion factor (2.20462 lbs/kg), you find that 4.42 kg is approximately equal to 9.7314044 pounds. Therefore, when converting kilograms to pounds, the first step is to apply the appropriate conversion factor by multiplying the weight in kilograms by the conversion factor.
Learn more about conversion here:
https://brainly.com/question/23718955
#SPJ11
You have 2 cats
and 3 dogs. Write
the ratio of cats to
dogs two different
ways.
Answer:
2:3
3:2
Step-by-step explanation:
A swimming pool contains (less than 0.02) grams of chlorine per cubic meter. The pool measures meters by meters and is meters deep. Some water will be drained and then replaced by water contain grams of chlorine per cubic meter. How much water should be drained so the pool ends up with grams of chlorine per cubic meter?
To achieve a chlorine concentration of grams per cubic meter in the swimming pool, approximately cubic meters of water should be drained.
To find the amount of water that needs to be drained, we can set up a simple equation based on the initial and desired chlorine concentrations. Let's denote the initial volume of water in the pool as V (cubic meters) and the volume of water to be drained as x (cubic meters).
Step 1: Calculate the amount of chlorine in the initial water:
The initial chlorine content in the pool is less than 0.02 grams per cubic meter. Therefore, the total amount of chlorine in the initial water is given by V * 0.02 grams.
Step 2: Calculate the amount of chlorine in the new water:
The desired chlorine content in the pool is grams per cubic meter. Hence, the total amount of chlorine in the new water is given by (V - x) * grams.
Step 3: Set up the equation and solve for x:
Since the total amount of chlorine in the water remains constant, we can equate the initial and new chlorine amounts:
V * 0.02 = (V - x) * grams
Solving this equation will give us the value of x, which represents the volume of water that needs to be drained.
To solve the equation and find the value of x, you can rearrange the equation and simplify it. Divide both sides of the equation by grams and then distribute to eliminate the parentheses. After that, you can isolate the term with x on one side of the equation and move all other terms to the other side. Finally, divide both sides by the coefficient of x to find the value of x.
Learn more about chlorine:
brainly.com/question/19460448
#SPJ11
begin{tabular}{|r|l|r|r|} \hline 3 & Below are your numerical inputs for the problem: \\ \hline 4 & Initial Cost (\$) & 390000 \\ \hline 5 & Year 1 Revenues (\$) & 192000 \\ \hline 6 & Year 1 Costs (\$) & 125000 \\ \hline 7 & Inflation & 2.75% \\ \hline 8 & Project Duration (years) & 6 \\ \hline 9 & Depreciation Method & \\ \hline 10 & Tax Rate & \\ \hline 11 & Net Working Capital (\% oft+1 Revenues) & MACRS \\ \hline 12 & Salvage Value (\$) & 28.00% \\ \hline 13 & Cost of Capital & 15.00% & 245000 \\ \hline \end{tabular} How much are the year 1 operating cash flows (OCF)? How much is the depreciation expense in year 3 ? What is the change in Net Working Capital (NWC) in year 2? What is the net cash flow from salvage (aka, the after-tax salvage value, or ATSV)? What is the project's NPV? Would you recommend purchasing the ranch? Briefly explain.
Information is needed to evaluate the project's financial viability, considering factors such as the initial investment, expected cash flows, cost of capital, and project duration.
To calculate the year 1 operating cash flows (OCF), we need to subtract the year 1 costs from the year 1 revenues:
OCF = Year 1 Revenues - Year 1 Costs
OCF = $192,000 - $125,000
OCF = $67,000
To find the depreciation expense in year 3, we need to determine the depreciation method. The provided information is incomplete regarding the depreciation method, so we cannot calculate the depreciation expense in year 3 without knowing the specific method.
The change in Net Working Capital (NWC) in year 2 can be determined by multiplying the Net Working Capital percentage (given as a percentage of t+1 revenues) by the year 1 revenues and subtracting the result from the year 2 revenues:
Change in NWC = (Year 2 Revenues - Net Working Capital percentage * Year 1 Revenues) - Year 1 Revenues
Without the specific Net Working Capital percentage or Year 2 Revenues values, we cannot calculate the exact change in NWC in year 2.
The net cash flow from salvage (ATSV) is calculated by multiplying the Salvage Value percentage by the Initial Cost:
ATSV = Salvage Value percentage * Initial Cost
ATSV = 28% * $390,000
ATSV = $109,200
To calculate the project's NPV, we need the cash flows for each year, the cost of capital, and the project duration. Unfortunately, the information provided does not include the cash flows for each year, so we cannot calculate the project's NPV.
To know more about investment visit:
https://brainly.com/question/29547577
#SPJ11
The complete question is:
Below are your numerical inputs for the problem: 4 & Initial Cost (\$) & 390000 5 & Year 1 Revenues (\$) & 192000 6 & Year 1 Costs (\$) & 125000 7 & Inflation & 2.75% 8 & Project Duration (years) & 6 9 & Depreciation Method & 10 & Tax Rate & 11 & Net Working Capital (\% oft+1 Revenues) & MACRS 12 & Salvage Value (\$) & 28.00% 13 & Cost of Capital & 15.00% & 245000 How much are the year 1 operating cash flows (OCF)? How much is the depreciation expense in year 3 ? What is the change in Net Working Capital (NWC) in year 2? What is the net cash flow from salvage (aka, the after-tax salvage value, or ATSV)? What is the project's NPV? Would you recommend purchasing the ranch? Briefly explain.
I need help with this!!
Answer:
i think c
Step-by-step explanation:
hope it helps :)
if 1 book cost $7, how much will 3 books cost?
If 1 book cost $7, 3 books will cost: 3*$7 = $21. (Multiplying)
The answer is $21.
1.
Match the graph with its equation.
A. 7x + 7y = 0
B. 7x + 7y = 49
C. 7x – 7y = –49
D. –7x +7y = –49
Answer:D. -7x+7y=-49 matches this graph.
Step-by-step explanation:
Which two steps will complete the list correctly? 4. Divide the original measurement by the conversion factors. 5. Check for reasonableness. 4. Multiply the acoriginal measure by the conversion factors. 5. Simplify the answer. 4. Multiply the original measure by the conversion factors. 5. Check for reasonableness. 4. Divide the original measure by the conversion factors. 5. Simplify the answer.
Two steps that will complete the list correctly are:
4. The original measurement should be multiplied by the conversion factors.
5. Verify that it makes sense.
What is meant by conversion factor?A conversion factor can be used to switch from one set of units to another by multiplying or dividing a number. When a conversion is necessary, the appropriate conversion factor to an equivalent value must be applied.
Let's use an example of converting from inches to centimeters to address this query.
10 inches should be converted to cm.
The first step is to identify the measure that has to be converted, which in this case is inches.The conversion factors, which are; are written in the second step. 1 inch equals 2.54 centimetersThe third step is to cancel the units; in this instance, inches will be cancelled.The original measurement is multiplied by the conversion factor in the fourth step to give; 10 × 2.54 cm = 25.4 cmThe fifth stage is to assess reasonableness by attempting to determine whether choosing a different number will produce a reasonable result.To know more about units, visit:
https://brainly.com/question/18522397
#SPJ4
A shipping company uses a formula to determine the cost for shipping a package: c = 2.79 + 0.38p, where c is the cost of shipping and p is the number of pounds. What is the cost of shipping a package that weighs 8 pounds?
Using the formula they gave us:
Cost of shipping = 2.79 + 0.38(8)
Cost of shipping = 2.79 + 3.04
Cost of shipping = 5.83(currency unit)