Answer:
46
Step-by-step explanation:wrhwefefewfoheqijfqwhfgq38fh
Write an equation for the line that has a rate of change of 1/2 and passes through the point (-2,5)
Answer:
Step-by-step explanation:
rate of change or slope is 1/2.
The equation of a line is y = mx + b, m is the slope.
when x is -2, y is 5.
5 = (1/2)*(-2)+b
b = 6
The equation y = x/2 + 6
find the hypotenuse: c =
Solve 5x^2+2x=1 using either factoring, square root method, completing the square or quadratic formula.
Answer:
x = -1 ± √6 / 5
Step-by-step explanation:
Solve \(5x^{2}\) + 2x = 1
move 1 to the left side of the equation by subtracting it from both sides.
\(5x^{2}\) + 2x - 1 = 0
Use the quadratic formula to find the solutions.
-b± \(\sqrt{b^2 - 4 (ac)}\)/ 2a
Substitute the values a = 5 , b = 2, and c = -1 into the quadratic formula and solve for x
-2±\(\sqrt{2^2 - 4(5 - 1)}\)/ 2 ⋅ 5
Simplify.
x = -2 ± 2 \(\sqrt{6}\)/ 10
x = -1 ± \(\sqrt{6}\)/ 5
Exact Form:
x = -1 ± \(\sqrt{6}\)/ 5
evaluate the limit, if it exists. (if an answer does not exist, enter dne.) lim t→7 t2 − 4t − 21 t − 7
The limits from both sides are different, the limit does not exist. Therefore, the answer is DNE.
How to determine limit?To evaluate the given limit:
lim t→7 (t² - 4t - 21) / (t - 7)
We first notice that the denominator becomes zero as t approaches 7, which means the function is not defined at t=7. We must check whether there is a limit from both sides of 7.
Let's approach the limit from the left side of 7. We substitute t=7 - h, where h is a positive number approaching zero.
lim h→0- [(7 - h)² - 4(7 - h) - 21] / [(7 - h) - 7]
= lim h→0- [49 - 14h + h² - 28 + 4h - 21] / (-h)
= lim h→0- (-h² - 10h) / (-h)
= lim h→0- (h² + 10h) / h
= lim h→0- (h + 10) = -10
Now, let's approach the limit from the right side of 7. We substitute t=7 + k, where k is a positive number approaching zero.
lim k→0+ [(7 + k)² - 4(7 + k) - 21] / [(7 + k) - 7]
= lim k→0+ [49 + 14k + k² - 28 - 4k - 21] / k
= lim k→0+ (k² + 10k) / k
= lim k→0+ (k + 10) = 10
Since the limits from both sides are different, the limit does not exist. Therefore, the answer is DNE.
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Assume that human body temperatures are normally distributed with a mean of 98.18°F and a standard deviation of 0.64°F.
a. A hospital uses 100.6°F as the lowest temperature considered to be a fever. What percentage of normal and healthy persons would be considered to have a fever? Does this percentage suggest that a cutoff of 100.6°F is appropriate?
b. Physicians want to select a minimum temperature for requiring further medical tests. What should that temperature be, if we want only 5.0% of healthy people to exceed it? (Such a result is a false positive, meaning that the test result is positive, but the subject is not really sick.)
The appropriate solution to each problem is
0.01% of normal and healthy persons would be considered to have a feverThe appropriate temperature for him is 99.23 degrees Fahrenheit.This is further explained below.
What percentage of normal and healthy persons would be considered to have a fever?Generally, the equation for the probability is mathematically given as
P(X > 100.6) = P(X-mean)/sd > (100.6-98.18)/0.64 )
P(X > 100.6)= P(Z > 3.7813)
P(X > 100.6)= 1 - P(Z < 3.7812)
P(X > 100.6)= 1 - 0.9999
P(X > 100.6)= 0.0001
Based on the likelihood presented before, the proportion of normal functioning and healthy people who may be regarded to have a fever is 100% multiplied by 0.00001, which is 0.01%.
This proportion has no bearing on the statistical picture at all. Therefore, this temperature cannot possibly be accurate since it is so absurdly high.
X = 98.18 + (1.645*0.64)
X= 99.2328
X= 99.23
In conclusion, The appropriate temperature for him is 99.23 degrees Fahrenheit.
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It is a special kind of segment, ray, or line that intersects a given segment at a 90∘ 90 ∘ angle, and passes through the given segment's midpoint.
Answer:
Perpendicular bisector
Step-by-step explanation:
Given
The above statement
Required
What describes the given statement?
The term that describes the given statement is the perpendicular bisector.
This is so because:
- The perpendicular bisector passes through midpoints
- The point of intersection is at the \(90^o\)
Felipe uploaded a funny video of his dog. The relationship between the elapsed time in days, d, since the video was first uploaded and the total number of views, v, that the video received is modeled by v=4^1.25d.
Find the number of days it took Felipe’s video to get 1024 views.
We are given the relatiοnship between the elapsed time in days, d, and the tοtal number οf views, v, fοr Felipe's videο.
What is lοgarithm?The lοgarithm is the expοnent οr pοwer tο which a base must be raised in οrder tο get a certain number. x is the lοgarithm οf n tο the base expressed mathematically b if bˣ = n, in which case οne writes x = lοgᵇ n. Fοr example, 2³= 8; therefοre, 3 is the lοgarithm οf 8 tο base 2, οr 3 = lοg₂ 8.
This relatiοnship is given by:
v = \(4^{(1.25d)\)
We need tο find the number οf days it tοοk fοr the videο tο get 1024 views. We can set v equal tο 1024 and sοlve fοr d as fοllοws:
1024 = \(4^{(1.25d)\)
Taking the lοgarithm οf bοth sides, we get:
lοg(1024) = lοg(\(4^{(1.25d)\))
Using the prοperties οf lοgarithms, we can simplify this equatiοn as fοllοws:
lοg(1024) = 1.25d * lοg(4)
Sοlving fοr d, we get:
d = lοg(1024) / (1.25 * lοg(4))
Using a calculatοr, we get:
d ≈ 4.31
Therefοre, it tοοk apprοximately 4.31 days fοr Felipe's videο tο get 1024 views
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solve the system of equations using substitution
x+y=12
y=3x
Answer:
(3, 9 )
Step-by-step explanation:
x + y = 12 → (1)
y = 3x → (2)
substitute y = 3x into (1)
x + 3x = 12
4x = 12 ( divide both sides by 4 )
x = 3
substitute x = 3 into (2) and solve for y
y = 3x = 3 × 3 = 9
solution is (3, 9 )
You are considering the purchase of a new SUV for $29,815. You have saved $3,500 which you will use as a down payment for the purchaseYou intend to finance the remaining cost of the SUV at 5%compounded monthly for 4 years a.What is the monthly payment for this vehicle? b.How much of the 1st payment goes toward interest? c.How much of the 48th payment goes toward interest d.What is the remaining balance on the loan at the end of the 3rd year? e. How much of the payments made during year 1 go toward repaying the principal? How much of the payments made during year 4 go toward repaying the principal?
a. The monthly payment for this vehicle using the formula is $576.63
b. The 1st payment goes toward interest is $466.98
c. The 48th payment goes toward interest is $12,011.84
d. The remaining balance on the loan at the end of the 3rd year is $12,011.84
e. Principal repayment in the fourth year is $6,719.16
a) We can use the loan formula for finding the monthly payment. i= 5% / 12 = 0.0041666666666667n = 4 × 12 = 48PV = 29815 - 3500 = 26315 PMT = PV × i / (1 - (1 + i)-n)= $576.63 per month
b) For the first payment, the interest is calculated on the outstanding principal balance (OPB). Principal part of first payment = PMT - Interest part
Interest part for the first payment = OPB × i= 26315 × 0.0041666666666667= $109.65Principal part for the first payment = PMT - Interest part= $576.63 - $109.65= $466.98
c) As it is a reducing balance loan, the outstanding principal balance (OPB) at the end of 47 months = OPB at the end of 48th month
d) Outstanding principal balance (OPB) at the end of the 3rd year = PV × (1 + i)^(n÷12) - [PMT × ((1 + i)^(n÷12) - 1) ÷ i]OPB at the end of 3 years = 26315 × (1 + 0.0041666666666667)^(36) - [576.63 × ((1 + 0.0041666666666667)^(36) - 1) ÷ 0.0041666666666667]= $12,011.84
e) In the first year, only 12 payments are made. Let us calculate the interest and principal part of these payments separately and add them up to find the totals. Principal repayment in the first year = 12 × principal part of monthly payment= 12 × (PMT - Interest) = 12 × (576.63 - 109.65)= $5,355.60
The balance outstanding at the end of the first year = PV × (1 + i)^(n÷12) - [PMT × ((1 + i)^(n÷12) - 1) ÷ i]
= 26315 × (1 + 0.0041666666666667)^(12) - [576.63 × ((1 + 0.0041666666666667)^(12) - 1) ÷ 0.0041666666666667]
= $20,509.15
For the fourth year, last 12 payments are made. In the fourth year, the loan balance outstanding is equal to the balance at the end of year 3.
Principal repayment in the fourth year = 12 × principal part of monthly payment= 12 × (PMT - Interest) = 12 × (576.63 - 47.10)= $6,719.16
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The United States us 17.5 times richer than Kenya: what fraction of this factor is due to differences in capital per person and what fraction is due to differences in TFP
Answer:
The fraction of the factor of 17.5 which is due to differences in capital per person is approximately 4.375, and the fraction due to differences in TFP is approximately 13.125.
Step-by-step explanation:
Based on the given information, we know that one-fourth (1/4) of the differences in per capita GDP across countries are due to differences in capital per person, and three-fourths (3/4) are due to differences in TFP.
Now, let's calculate the fractions for the United States and Kenya, given that the United States is 17.5 times richer than Kenya.
Let's represent the fraction due to differences in capital per person as "f_capital" and the fraction due to differences in TFP as "f_TFP".
Given:
f_capital = 1/4
f_TFP = 3/4
The factor of difference in wealth = 17.5
We need to determine the fractions of this factor of 17.5 that are due to each component.
The fraction due to differences in capital per person (f_capital) can be calculated as:
f_capital = (1/4) / (1/4 + 3/4)
f_capital = (1/4) / (4/4)
f_capital = 1/4
The fraction due to differences in TFP (f_TFP) can be calculated as:
f_TFP = (3/4) / (1/4 + 3/4)
f_TFP = (3/4) / (4/4)
f_TFP = 3/4
Now, to determine the fraction of the factor of 17.5 that is due to each component, we multiply each fraction by the factor:
Fraction due to differences in capital per person = f_capital * factor
= (1/4) * 17.5
= 4.375
Fraction due to differences in TFP = f_TFP * factor
= (3/4) * 17.5
= 13.125
Therefore, the fraction of the factor of 17.5 that is due to differences in capital per person is approximately 4.375, and the fraction due to differences in TFP is approximately 13.125.
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Correct Question:
That about one-fourth of the differences in per capita GDP across countries were due to differences in capital per person and about three-fourths were due to differences in TFP. Carry out this, calculation for Kenya. The United States is 17.5 times richer than Kenya; what fraction of this factor of 175 is due to differences in capital per person and what fraction is due to differences in TFP?
Thanks for the help UwU
Answer:
a is the answer you are looking for
Step-by-step explanation:
A
Answer:
C
Step-by-step explanation:
The equation is y = 75x + 250. The y intercept is 250, and it is stated that Carlos bought the phone for $250.
How many different ways could I order the books on my shelf?" I have enough room for 11 of my 31 books. How many different ways could I order 11 books on my bookshelf?
Answer:
31 divided by 11 in my smartest choice
Step-by-step explanation:
Please do this question in your copy, make a table like we made in class, scan it, and upload it BB. You have total 1 hour for it.
Alfalah Islamic Bank needed PKR 1500,000 for starting one of its new branch in Gulshan. They have PKR 500,000 as an investment in this branch. For other PKR 1000,000 they plan to attract their customers insted of taking a loan from anywhere.
Alfalah Islamic Issued Musharka Certificates in the market, each certificate cost PKR 5,000 having a maturity of 5 years. They planned to purchased 100 shares themselves while remaining shares to float in the market. Following was the response from customers.
Name Shares
Fahad 30
Yashara 50
Saud 20
Fariha 40
Younus 25
Asif 35
Alfalah Islamic planned that 60% of the profit will be distributed amoung investors "As per the ratio of investment" While the remaining profit belongs to Bank. Annual report shows the following information for 1st five years.
Years Profit/(Loss)
1 (78,000)
2 (23,000)
3 29,000
4 63,000
5 103,500
Calculate and Identify what amount every investor Investor will recieve in each year.
I apologize, I am unable to create tables or upload scanned documents. However, I can assist you in calculating the amount each investor will receive in each year based on the given information.
To calculate the amount received by each investor in each year, we need to follow these steps:
Calculate the total profit earned by the bank in each year by subtracting the loss values from zero.
Year 1: 0 - (-78,000) = 78,000
Year 2: 0 - (-23,000) = 23,000
Year 3: 29,000
Year 4: 63,000
Year 5: 103,500
Calculate the total profit to be distributed among the investors in each year, which is 60% of the total profit earned by the bank.
Year 1: 0.6 * 78,000 = 46,800
Year 2: 0.6 * 23,000 = 13,800
Year 3: 0.6 * 29,000 = 17,400
Year 4: 0.6 * 63,000 = 37,800
Year 5: 0.6 * 103,500 = 62,100
Calculate the profit share for each investor based on their respective share of the investment.
Year 1:
Fahad: (30/100) * 46,800
Yashara: (50/100) * 46,800
Saud: (20/100) * 46,800
Fariha: (40/100) * 46,800
Younus: (25/100) * 46,800
Asif: (35/100) * 46,800
Similarly, calculate the profit share for each investor in the remaining years using the same formula.
By following the calculations above, you can determine the amount each investor will receive in each year based on their share of the investment.
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x^2-10x=24 Solve. Give exact solutions, no rounding.
Answer:
x = 12, -2
Step-by-step explanation:
subtract 24 from both sides then use quadratic formula
For f(x) = 2x + 1 and g(x) = x^2- 7, find (f - g)(x). ?
Answer:
(f-g)(x)=-x^(2)+2x+8
the solutions are:
x=4 or x=-2
Step-by-step explanation:
(f-g)(x)=2x+1-(x^(2)-7)
(f-g)(x)=-x^(2)+2x+1+7
(f-g)(x)=-x^(2)+2x+8
does this help or should I solve for the zeros/solutions of this quadratic equation?
then:
-x^(2)+2x+8=0
-(x^(2)-2x-8)=0
x^(2)-2x-8=0
(x-4)(x+2)=0
x=4 or x=-2
Answer:
The required answer is: -x^2+2x+8
Step-by-step explanation:
We have been given the two function:
f(x)=2x+1
And g(x)=x^2-7
We have to find (f-g)(x):
(f-g)(x)=f(x)-g(x)
(2x+1)-(x^2-7)
2x+1-x^2+7
-x^2+2x+8
Hence, the required answer is: -x^2+2x+8
The radius of a dartboard is 9 inches What is the area of the dartboard in square inches?
the area of the dartboard is approximately 254.34 square inches.
The area of a dartboard can be calculated using the formula for the area of a circle, which is given by:
Area = π * \(radius^2\)
Given that the radius of the dartboard is 9 inches, we can substitute this value into the formula:
Area = π * \(9^2\)
Area = π * 81
To calculate the area, we need to use the value of π (pi). Pi is an irrational number and is commonly approximated as 3.14. Using this approximation, we can calculate the area:
Area ≈ 3.14 * 81
Area ≈ 254.34 square inches
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researcher wishes to compare the effects of two fertilizers on the yield of soybeans. she has 20 plots of land available for the experiment, and she decides to use a matched pairs design with 10 pairs of plots. to carry out the random assignment for this design, the researcher should
The correct option is option b) subjectively divide the 20 plots into 10 pairs (making the plots within a pair as similar as possible) and then, for each pair, flip a coin to assign the fertilizers to the 2 plots.
A sort of probability called subjective probability is one that is based on a person's subjective assessment or personal knowledge of the likelihood of a particular result. It doesn't use facts or formal computations; instead, it merely includes the subject's ideas and prior experience.
A subjective likelihood varies from person to person and is not based on previous facts or market data. In other words, it is not founded on reality but rather is the result of an individual's opinion.
In the majority of probability theories, quantifiable data is evaluated to ascertain the likelihood of an event occurring. However, subjective probability lacks a formal calculation, is influenced by human ideas, and is not based on quantitative data.
Therefore, The correct option is option b) subjectively divide the 20 plots into 10 pairs (making the plots within a pair as similar as possible) and then, for each pair, flip a coin to assign the fertilizers to the 2 plots.
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Please show work and answer correctly :D (Please dont answer until hanifa answers thank you!)
Answer:
1 3/4, 5 2/3, 7 11/27, 12 1/4, 1 7/8, 2 10/11Step-by-step explanation:
1/5( 9 - 1/4) = 1/5( 8 3/4) = 1/5*35/4 = 7/4 = 1 3/43/7(14 - 7/9) = 3/7(13 2/9) = 3/7*119/9 = 17/3 = 5 2/35/9(14 - 2/3) = 5/9(13 1/3) = 5/9*40/3 = 200/27 = 7 11/277/9(16 - 1/4) = 7/9(15 3/4) = 7/9*63/4 = 49/4 = 12 1/41/4(8 - 1/2) = 1/4(7 1/2) = 1/4*15/2 = 15/8 = 1 7/81/7(21 - 7/11) = 1/7( 20 4/11) = 1/7*224/11 = 32/11 = 2 10/11Given:BK=CH Which additional congruence statement could you use to prove that ∆BJK ≅ ∆CFH by the HL Theorem?
Answer:
B
Step-by-step explanation:
The hl theorem says that if we have two right triangles that have a congruent hypotenuse and a congruent leg, the two triangles are congruent
in this case the exercise says the two leg are congruent, so we have to say that the two hypotenuse are congruent
So
JB congruent to FC
Heidi was able to walk 2/3 of a mile in
12 minutes. How far could Heidi walk in
1 hour?
Answer:
1 and 1/3
Step-by-step explanation:
60 ÷ 12 = 5
2/3 × 5 = 10/3
10/3 = 1 and 1/3
a researcher conducting a qualitative study knows that saturation of information has occurred when group of answer choices data collected confirms theoretical models additional sampling reveals redundant information subjects participating are representative of the general population the desired sample size has been reached flag question: question 44
The most relevant answer to this question is researcher conducting a qualitative study knows that saturation of information has occurred when data collected confirms theoretical models.
In qualitative research, data saturation refers to when the collection of new data no longer leads to additional ideas or themes.
In other words, saturation occurs when data has been thoroughly explored and little or no new information or new patterns emerge.
so, the researcher can be sure that he or she has collected enough data to answer the research question, and collecting more data is unlikely for new insights.
Therefore, Using the data provided, we can calculate:
x = (38.1 + 38.4 + 38.3 + 38.2 + 38.2 + 37.9 + 38.7 + 38.6 + 38.0 + 38.2) / 10 = 38.25
In a t distribution table or calculator, find the t value with 9 (n-1) degrees of freedom and 95% confidence intervals. This is approximately 2.262.
Substituting these values into the formula gives:
therefore, the most relevant answer to this is data collected confirms theoretical models.
This means that the researcher has collected enough data to confirm or disprove their original theoretical models, and collecting more data is unlikely to change those models.
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Giving relation R(A) with records {(1),(3)} and 2 transactions both executed under Serializable level :
T1 : UPDATE R SET A = 3*A
T2 : UPDATE R SET A=A+10
Which of the following conditions are not possible?
a){(3),(13)}
b){(33),(39)}
c){(3),(9)}
d){(13),(19)}
e){(33),(19)}
f){11},{13})
g){(11),(19)}
The conditions that are not possible are e) {(33), (19)} and g) {(11), (19)}.
To determine the conditions that are not possible, we need to analyze the interleaving of the two transactions and consider the serializability of their execution. Let's go through each option:
a) {(3), (13)}: This is possible. Transaction T1 updates the value from 1 to 3, and then T2 updates it from 3 to 13.
b) {(33), (39)}: This is possible. Transaction T1 updates the value from 3 to 9, and then T2 updates it from 9 to 39.
c) {(3), (9)}: This is possible. Transaction T1 updates the value from 1 to 3, and then T2 updates it from 3 to 9.
d) {(13), (19)}: This is possible. Transaction T1 updates the value from 1 to 3, and then T2 updates it from 3 to 13, and finally, T1 updates it again from 13 to 19.
e) {(33), (19)}: This is not possible. Transaction T1 updates the value from 1 to 3, and then T2 updates it from 3 to 13. Therefore, T1 cannot update it from 13 to 19 since the value is already 13.
f) {(11), (13)}: This is possible. Transaction T2 updates the value from 1 to 11, and then T1 updates it from 11 to 13.
g) {(11), (19)}: This is not possible. Transaction T2 updates the value from 1 to 11, and then T1 cannot update it from 11 to 19 since the value is already 11.
Therefore, the conditions that are not possible are e) {(33), (19)} and g) {(11), (19)}.
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Data that are accurate, consistent, and available in a timely fashion are considered: A) Oracle-based. B) Microsoft-based. C) high-quality. D) low-quality.
Data that are accurate, consistent, and available in a timely fashion are considered C) high-quality.
High-quality data is characterized as being reliable, consistent, and timely. High-quality data offers a strong foundation for analysis and decision-making because it is accurate, error-free, and consistent.
It is a valuable asset for organizations because it promotes accurate reporting and analysis, increases operational efficiency, and allows for informed decision-making. Although database management systems like Oracle and Microsoft SQL Server can assist with managing and storing data, the quality of the data is unrelated to the particular technology or program employed.
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Simplify
4x + 2y + x2 - x + 3 - x2 - 5
A. 3x2 + 5y - 8
B. 2x2 - 3x + 2y - 2
C. -5x + 2y - 2
D. 4x2 - 2y + 5x + 8 help help help pls help
Answer:
b
Step-by-step explanation:
u just have to think about it
Suppose the demand d, in units sold, for a company's jeans at price x, in dollars, is d(x)=800−4x.
A. If revenue=price×demand, write the rule for the function r(x), which represents the company's expected revenue in jean sales. Then state the domain of this function.
B. If the price is $30, how much revenue will the company earn?
A. The rule for the function r(x) is r(x)=
Answer:
Sorry let me try to understand the question
Step-by-step explanation:
The domain of the function r(x) is (0, 200).
The revenue earned when the price is $30 is $20400.
The rule for the function r(x) is x(800 - 4x).
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
Demand:
d(x) = 800 - 4x
Price = x
Revenue = Price x demand
Revenue = r(x)
A)
The rule for r(x).
r(x) = x d(x) = x(800 - 4x)
The domain of r(x) is 0 < x < 200 i.e (0, 200).
B)
x = 30
r(x) = 30(800 - 4 x 30)
r(x) = 30(800 - 120) = 30 x 680 = 20400
C)
r(x) = x(800 - 4x)
Thus,
The answers are given above.
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choose the correct congruence statement
Answer:
To write the congruence statement, you need to line up the corresponding parts in the triangles: \begin{align*}\angle R \cong \angle F, \angle S \cong \angle E,\end{align*} and \begin{align*}\angle T \cong \angle D\end{align*}. Therefore, the triangles are \begin{align*}\triangle RST \cong \triangle FED\end{align*}.
Step-by-step explanation:
Will give brain-list
Omar has a bag that contains pineapple chews, cherry chews, and peach chews. He performs an experiment. Omar randomly removes a chew from the bag, records the result, and returns the chew to the bag. Omar performs the experiment 51 times. The results are shown below:
A pineapple chew was selected 11 times.
A cherry chew was selected 28 times.
A peach chew was selected 12 times.
Based on these results, express the probability that the next chew Omar removes from the bag will be cherry chew as a fraction in simplest form.
Cherry was picked the most which was 28 times out of 51
The probability of picking cherry is 28/51
Which value is equivalent to the expression 32 × 33?
Answer:
1,056
Step-by-step explanation:
Answer 32x33=33x32 easy
A parameter is: a. unknown and will vary from sample to sample. b. known and will vary from sample to sample. c. unknown and will not vary from sample to sample. d. known and will not vary from sample to sample.
A parameter is known and will not vary from sample to sample. A parameter refers to a value that is usually unknown but is desired to be estimated from a sample.
It is a numerical value that is usually used to describe a characteristic of an entire population.
There are different types of parameters that exist, they include population mean, standard deviation, correlation, and regression coefficients, to mention a few.
A parameter is a numerical value that is used to describe a characteristic of an entire population.
These values are used to understand and analyze a population's characteristics.
The importance of parameters is that they help in the study of samples that are representative of the entire population.
This means that parameters help in predicting the characteristics of the population.
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Watches and bacteria: A group of researchers investigated the contamination of medical personnel watches at a New York hospital, since there is a potential for patient exposure to potentially dangerous bacteria.They sampled watches worn by physicians, physician assistants, and medical students at a teaching hospital in New York. Nearly half (46.6%) of the watches tested harbored microorganisms that can cause illness. By comparison, only one of the 10 watches worn by security guards tested positive for a disease-carrying microorganism. The researchers want to determine if the difference is statistically significant.Which of the following is an appropriate statement of the null hypothesis, H0?A. The proportion of contaminated wrist-watches from medical personnel is the same as the proportion of contaminated wrist-watches from security guards, i.e., H0: p = 46.6%.B. The proportion of contaminated wrist-watches from medical personnel is not the same as the proportion of contaminated wrist-watches from security guards, i.e., H0: p not equal 46.6%.C. The proportion of contaminated wrist-watches from medical personnel is greater than the proportion of contaminated wrist-watches from security guards, i.e., H0: p > 46.6%.
An appropriate statement of the null hypothesis, H₀ is that: A. The proportion of contaminated wrist-watches from medical personnel is the same as the proportion of contaminated wrist-watches from security guards, i.e., H0: p = 46.6%.
What is a null hypothesis?In Mathematics, a null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (Ha) and it asserts that two (2) possibilities are the same.
For an experiment to test the contamination of medical personnel wrist-watches at a New York hospital, the appropriate null hypothesis and alternative hypothesis would be given by this mathematical expression:
H₀: p = 10.
Ha: p < 10.
In this context, we can logically that the proportion of contaminated wrist-watches would be the same for both sample proportion i.e., H₀: p = 46.6%.
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