Answer:
x = 3
Step-by-step explanation:
Add 1 on both sides.
We get:
-2x = -6
Now divide -6 by -2...
-6/-2 = 3
-2x -1 = -7
add the "-1" on both sides, -2x -1 +1 = -7 +1
-2x = -6
divide "-2" on both sides, -2x/-2 = -6/-2
x = 3
At a large company banquet for several thousand employees and their families, many of the attendees became ill the next day. The company doctor suspects that the illness may be related to the fish, one of three options for the main course. Because all the dinner guests had to preorder their meal, the doctor was able to randomly select and contact 80 people that ate the fish, of which 64 people got sick. The doctor also randomly selected (and contacted) 60 people that did not eat the fish, of which 39 people got sick. The doctor also knows that at least 1000 attendees ordered the fish.
Required:
a. Is this convincing evidence that the true proportion of all attendees who ate the fish that got sick is more than the true proportion of all attendees who did not eat the fish that got sick?
b. Which mistake (a Type I error or a Type II error) could you have made? Interpret the potential error in context.
Answer:
a. Yes. This provides convincing evidence that the true proportion of all attendees who ate the fish that got sick (80%) is more than the true proportion of all attendees who did not eat the fish that got sick.
b. The mistake here would have been the rejection of the Doctor's theory or hypothesis to the effect that more attendees who ate the fish got sick than those who did not eat the fish. This is a Type 1 error. A Type 1 error occurs when a null hypothesis is rejected when it is true. On the other hand, a Type II error occurs when the null hypothesis is accepted when it should be rejected. While a Type I error is equivalent to a false positive, a Type II error is equivalent to a false negative.
Step-by-step explanation:
Total number of attendees who ordered fish = 1,000
Sample size of the attendees who ate fish = 80
Number of attendees who ate the fish and got sick = 64 (80% or 64/80)
Sample size of attendees who did not eat fish = 60
Number of attendees who did not eat fish and got sick = 39 (65% or 39/60)
Part A: The given evidence is convincing to provide the true proportion regarding the attendees.
Part B: The error is a type 1 error in the hypothesis testing.
Type 1 Error and Type 2 ErrorA type 1 error in hypothesis testing occurs when a null hypothesis is rejected when it is true.
A type II error in hypothesis testing occurs when the investigator fails to reject the null hypothesis that is actually false.
Given that, the total number of attendees who ordered fish is 1000. The random selection for the sample size of the attendees who ate fish is 80 of which 64 people got sick.
The number of attendees who ate the fish and got sick is calculated as given below.
No. of attendees =[tex]\dfrac {64}{80}[/tex]
% of No. of attendees = [tex]\dfrac {64}{80}\times 100[/tex]
% of No. of attendees = 80%
The random selection for the sample size of the attendees who did not eat fish is 60 of which 39 people got sick.
The number of attendees who did not eat the fish and got sick is calculated as given below.
No. of attendees = [tex]\dfrac {39}{60}[/tex]
% of No. of attendees =[tex]\dfrac {39}{60} \times 100[/tex]
% of No. of attendees = 65%
Part A
The given evidence is convincing to provide the true proportion of all attendees who ate the fish that got sick is more than the true proportion of all attendees who did not eat the fish that got sick.
Part B
The mistake here is that the doctor's theory (hypothesis) got rejected regarding the number of attendees who ate the fish got sick than those who did not eat the fish.
This error is a type 1 error in the hypothesis testing.
To know more about the type 1 and type 2 errors, follow the link given below.
https://brainly.com/question/20914617.
Y varies inversely as the square of x. If y=10 and x=4, find x if y=8
Answer:
gmxgmxkydyoduryljfhlduñfixjcigtltgracjas por los puntos gigkckckxkjajguajajajjaa
2. el valor absoluto, el valor relativo y el porcentaje en los siguientes datos:
1) Al tomar 3,5 m como longitud de un terreno que mide realmente 3,59 m.
2) Al considerar 60 Calcula m como la distancia entre dos postes que están situados a 59,91 m.
3) En la medida de 1 m se ha cometido un error de 1 mm, y en 300 Km, 300 m. ¿Qué error relativo es mayor?
4) Como medida de un radio de 7 dm hemos obtenido 70.7 cm. Calcula el error absoluto y el relativo.
5) Al medir la distancia entre dos pueblos, sabemos que el valor real es de 5,478 Km.
a) Aproxima la distancia hasta las décimas por redondeo.
b) Calcula el error absoluto cometido en ambos casos.
c) Calcula el error relativo cometido en ambos casos.
d) Justifica, de acuerdo con los resultados anteriores, qué aproximación es mejor
esto es de fisica
àaaaaaaaaaaaass la verdad no se
65% of 75 is equal to what number?
Answer:
48.75
i am sure
hope this helped you
1 4
. Find the value of discriminant of the quadratic equation 5m? - m = 0
Write down the formula of median
Answer:
[tex]D = 1[/tex] --- Determinant
[tex]M = \frac{N+1}{2}th[/tex] --- Median
Step-by-step explanation:
Given
[tex]5m^2 - m = 0[/tex]
Required
Calculate the determinant (D)
This is calculated using
[tex]D = b^2 - 4ac[/tex]
In [tex]5m^2 - m = 0[/tex]
[tex]a = 5[/tex], [tex]b = -1[/tex] and [tex]c = 0[/tex]
So, we have:
[tex]D = b^2 - 4ac[/tex]
[tex]D = (-1)^2 - 4 *5*0[/tex]
[tex]D = 1 - 0[/tex]
[tex]D = 1[/tex]
(b) Median Formula.
Median (M) is calculated using:
[tex]M = \frac{N+1}{2}th[/tex] item
Can someone please help me with my homework
Answer:
Do not use, there's still one more piece of the puzzle missing.
X =
Step-by-step explanation:
Lets look everything over and compare the corresponding parts of the 2 triangles.
One side of each is shared between the two triangles.
Another side of each triangle is 13 on each triangle.
The included angle of one triangle is 80 degrees and the other is 110 degrees.
Can someone please help me with the last three?? I don’t know what I keep doing wrong.
Answer:
1. 78.22%
2. 0.342%
3. 21.77%
Step-by-step explanation:
To find the percentage, you multiply the fraction of those tested positive/negative (based on the question) out of the total by 100%.
1. [tex]\frac{970}{1240}[/tex] × 100% = 78.22% (2 d.p.)
2. [tex]\frac{30}{8760}[/tex] × 100% = 0.342% (3 d.p.)
3. [tex]\frac{270}{1240}[/tex] × 100% = 21.77% (2 d.p.)
Cost of five lemons is $2.
What is the cost per lemon?
Answer: $
per lemon
Part B
At this rate, what is the cost of 9 lemons?
Answer:
Part a: $0.40 per lemon, Part b: $3.60
Step-by-step explanation:
Because the cost of five lemons is $2, it would be: 5 lemon = $2
$2/5 lemons = $x/1 lemon
so divide by 5 on the numerator and denominator. 2 divided by 5 = 0.4
So part a: 40 cents or $0.40 per lemon!
Part B:
cost of 1 lemon compared to 9 lemons:
$0.40/1 = x/9
Multiply both numerator and denominator by 9
So, it costs $3.60 for 9 lemons.
please HELP ITS A GRADE AND TIMED I WILL MARK BRAINLIEST
Answer:
Domain: All Real Numbers
Range: y<0
Step-by-step explanation:
Looking at the graph, you can tell that the variable y has a lower point.
( I'm not sure how accurate this is I'm doing the same test right now. ;-;)
Simplify to create an equivalent expression.
2(−2−4p)+2(−2p−1)
Choose 1 answer:
(Choice A)
A
-12p-6
(Choice B)
B
-10p-6
(Choice C)
C
-12p+6
(Choice D)
D
12p-6
Answer:
choice A
Step-by-step explanation:
-8p-4p - 4 - 2
= -12p-6
Ricky spent $44 total on a baseball mitt and a ball. If the mitt cost
$2 more than 5 times the cost of the ball, find the cost of each
item.
Answer:
The baseball mitt was $37 and the ball was $7
Step-by-step explanation:
Let m represent the cost of the mitt and let b represent the cost of the ball
Set up a system of equations:
m + b = 44
m = 5b + 2
Solve by substitution by plugging in 5b + 2 as m in the first equation:
5b + 2 + b = 44
Solve for b:
6b + 2 = 44
6b = 42
b = 7
Plug in 7 into the first equation and solve for m:
m + b = 44
m + 7 = 44
m = 37
So, the baseball mitt was $37 and the ball was $7
Find tan0 where 0 is the angle shown
PLEASE I NEED HELP
Answer:
tan = 12/5..............
PLEASE ANSWER THIS QUESTION RIGHT.What piece of information does c identify in the following equation?
y=ax2+bx+c
Solve the Antiderivative.
Destiny just received two separate gifts from her great-great-grandmother.
The first gift is a box of 181818 chocolate candy bars, and the second gift is a pack of 121212 cookies.
Destiny wants to use all of the chocolate candy bars and cookies to make identical snack bags for her cousins.
What is the greatest number of snack bags that Destiny can make?
answer: 6 is the greatest number of snack bags that Destiny can make. Step-by-step
Step-by-step explanation:
The first gift is a box of 18 chocolate candy bars, and the second gift is a pack of 12 cookies.
Answer:
There are 6 snack bags that Destiny can make.
Step-by-step explanation:
Since we have given that
Number of chocolate candy bars in the first gift =18
Number of cookies in the second gift = 12
Since Destiny wants to use all of the chocolate candy bars and cookies to make identical snack bags for her cousins,
So, Destiny can make the greatest number of snack bags is given by
So, there are 6 snack bags that Destiny can make.
HELPPP WILL MARK BRAINLIEST!!!!!!!!!!!!
what is the miniumum value of y=x^2-4x+8
Answer:
2 is your answer lemme know if I'm right
Answer:
2
Step-by-step explanation:
The smallest value within that equation would be 2 since all of the other numbers are have more value than 2 does.
Carsen loves to run. She runs 4 miles each day. If she wants to run a total of 56 miles how many days should she run? Write an equation to show this problem along with the answer. *Please click on "show your work" to set up the problem and show your work. Then, enter your answer in the box to the right. You must complete both of these steps.
Answer:
56 dived by 4. answer would be 14. so she would need to run two weeks
Step-by-step explanation:
Answer:
14 need to run two weeks
Step-by-step explanation:
The local news is conducting a poll of the residents' opinions regarding a new traffic law that is being proposed. At the end of a news segment, viewers had the opportunity to dial in or use social media to choose whether they agree or disagree with the law. A large sample size was represented, and this poll was repeated again one week later with similar results. When working with this data, what best applies?
Options :
a. The surveys are biased because people chose to respond or not.
b. Because of the large sample size, the results are most accurate of all members of the community.
c. The same sampling methods were used for both polls, demonstrating reliability.
Answer:
a. The surveys are biased because people chose to respond or not
Step-by-step explanation:
When surveys incorporates a large number of people of a whole population, coupled with the fact that subjects of the survey or research are not compelled to make a choice or air their opinion. In the scenario above, opinion about the new policy is to be expressed by a large audience whereby there is a high tendency that some will no interest in the news nor its content. Leaving only those audience who are more interested and likely the most affected by the policy to respond. This way there will be no distinction between those who disagree and those who fail to respond. It would be more advisable to employ a sample audience who are interested and woykd give a verdict on the policy.
Decide whether the two segments are parallel, perpendicular, or neither.
Show your work!
PO: P(5. 2) QC-1, 6)
AB: A(-2,3) B(4, -1)
Answer:
Step-by-step explanation:
You need to find the slopes of the line segments.
If the lines are perpendicular to each other, the product of their slopes is -1.
If the lines are parallel, they have the same slope.
simply combining like teams 3a-2b-ab-(a-b+ab)-4ab+2b-a STEP explanation plss
Answer:
-6 a b + b + a
Step-by-step explanation:
Simplify the following:
-(a - b + a b) - a b - 4 a b + 2 b - 2 b + 3 a - a
Hint: | Group like terms in 3 a - 2 b - a b - (a b - b + a) - 4 a b + 2 b - a.
Grouping like terms, 3 a - 2 b - a b - (a b - b + a) - 4 a b + 2 b - a = -(a b - b + a) + (-a b - 4 a b) + (3 a - a) + (2 b - 2 b):
-(a b - b + a) + (-a b - 4 a b) + (3 a - a) + (2 b - 2 b)
Hint: | Combine like terms in -a b - 4 a b.
a b (-1) + a b (-4) = -5 a b:
-(a b - b + a) + -5 a b + (3 a - a) + (2 b - 2 b)
Hint: | Combine like terms in 3 a - a.
3 a - a = 2 a:
-(a b - b + a) - 5 a b + 2 a + (2 b - 2 b)
Hint: | Look for the difference of two identical terms.
2 b - 2 b = 0:
-(a b - b + a) - 5 a b + 2 a
Hint: | Distribute -1 over a b - b + a.
-(a b - b + a) = -a b + b - a:
-a b + b - a - 5 a b + 2 a
Hint: | Group like terms in -a b - 5 a b + b + 2 a - a.
Grouping like terms, -a b - 5 a b + b + 2 a - a = (-a b - 5 a b) + b + (-a + 2 a):
(-a b - 5 a b) + b + (-a + 2 a)
Hint: | Combine like terms in -a b - 5 a b.
a b (-1) + a b (-5) = -6 a b:
-6 a b + b + (2 a - a)
Hint: | Combine like terms in 2 a - a.
2 a - a = a:
Answer: -6 a b + b + a
Interest of 200 million dollars 53% and 22 years will give brainliest to correct answer
Answer:
$2,313,150,687,166.22 is the interest accrued.
Step-by-step explanation:
Hope this helps
Answer:
$2,313,150,687,166.22 is the interest
Step-by-step explanation:
hope this helps.
Darby bought a rare baseball card for $2,000. Three years later, the value of the card had increased 35% of its original value. By how much did the value of Darby’s baseball card increase?
$___
factor 1/8 out of 1/8x-49/8
Answer:
1/8(x - 49)
Step-by-step explanation:
When we factor out something, we are basically finding common factors from multiple terms to take out. Example:
ab + ac; factored out: a(b + c)
If we want to factor out 1/8 from 1/8x - 49/8, we simply divide the two terms by 1/8.
[tex]\frac{1/8}{1/8x}[/tex] The 1/8 cancel out giving us x so:
1/8(x - __)
The next term,
[tex]\frac{49/8}{1/8}[/tex]
When two fractions divide, you flip the bottom one and multiply them both,
[tex]\frac{49}{8} *\frac{8}{1}[/tex]
giving us 49.
The answer is: 1/8(x - 49)
Which of these expressions are equivalent to 225 3/2? Select all that apply.
Answer:
C.
Step-by-step explanation:
it could also be written as (sqrt225)^3
C is correct because sqrt225 is equivalent to 225^1/2
using exponent rules, 3 mutiplies to the 1/2 making it 225^3/2
(a) The area of a rectangular garden is 7371 m².
If the width of the garden is 81 m, what is its length?
What is the Length of the garden:
Answer:
length = 91 m
Step-by-step explanation:
area = length * width
so,
7371 = length * 81
cancel out 81 by dividing on both sides
91 = length
If Jimmy boy here has 35 ropes and he washes 56 paper, how much wetlands will Johnny Boy own left.
Answer:
All of what he had
Step-by-step explanation:
Answer: jimmy will have it all
Step-by-step explanation:
What is the measure of angle x round the nearest degree
Answer: 16 degrees obviously
Step-by-step explanation:
Kevin is designing a cover for a comic book. He wants to have a rectangular grid with x ^ 2 - 3x - 10 squares in it, for some positive whole number x. What are the possible side lengths for the grid?
A. There are no possible whole number side lengths.
B. (x + 2) and (x - 5)
C. (x - 2) and (x + 5)
D. (x + 2) and (x + 5)
Answer:
(X+2) and (x-5)
Step-by-step explanation:
A map uses a scale of 1 in :20mi. Find the the actual distance of 5.5 inches on the map. help me
Answer:
110
Step-by-step explanation:
5.5 x 20 = 110
A positive - negative = what?
A positive - negative = either negative or positive
Step-by-step explanation:
HOPE IT HELPS YOU
Answer:
0
Step-by-step explanation:
+1-1=0 is that the theme of qustion .