Answer:
Assuming that the spinner is fair (i.e., each color has an equal chance of being landed on), we can find the best prediction for the number of times the spinner will not land on yellow by using probability.
There are 6 colors on the spinner, so the probability of the spinner landing on yellow is 1/6. The probability of the spinner not landing on yellow is therefore:
1 - 1/6 = 5/6
This means that for each spin of the spinner, there is a 5/6 probability that it will not land on yellow. If we spin the spinner 55 times, we can expect the number of times it will not land on yellow to be:
55 x 5/6 = 45.83
However, since we cannot have a fractional number of spins, we need to round to the nearest whole number. The best prediction for the number of times the spinner will not land on yellow is therefore 46.
To test the effectiveness of an exercise program in reducing high blood pressure, 15 participants had their blood pressures recorded before beginning the program and again after completing the program. The difference (after minus before) in blood pressure was recorded for each participant, and the sample mean difference was calculated. A hypothesis test will be conducted to investigate whether there is convincing statistical evidence for a reduction in blood pressure for all who complete the program. Which of the following is the correct set of hypotheses?
A. H0 : bar xD = 0
Ha : bar xD is not equal to 0
B. H0 : bar xD = 0
Ha : bar xD > 0
C. H0 : mu D = 0
Ha : mu D is not equal to 0
D. H0 : mu D = 0
Ha : mu D > 0
E. H0 : mu D = 0
Ha : mu d < 0
Answer:
E.
H0 : mu D = 0
Ha : mu d < 0
Step-by-step explanation:
The hypothesis is to test if there is a reduction in blood pressure for those who complete the program, this means if the mean difference in blood pressure (that is after - before) is less than 0. Here, the hypothesis is the alternative side while the opposite, that is, there is no difference in blood pressure before and after is the null.
This means :
H0 : μD = 0
Ha : μD < 0
You can use the definitions for null and alternate hypotheses
The correct set of hypothesis is given by:
Option E. [tex]H_0: \mu_D = 0[/tex]
[tex]H_a: \mu_D < 0[/tex]
How to form the hypotheses?There are two hypotheses. First one is called null hypothesis and it is chosen such that it predicts nullity or no change in a thing. It is usually the hypothesis against which we do the test. The hypothesis which we put against null hypothesis is alternate hypothesis.
Null hypothesis is the one which researchers try to disprove.
How to find the correct set of hypothesis for the given situation?Since the test is to test the effectiveness of the exercise program, thus the wish of the tester is to get the result that effectiveness is there. This will be the alternate hypothesis and the null hypothesis will be that there is no difference in the blood pressure before and after the exercise. Thus, we will test against the null hypothesis.
Since the evidence is to be found for all of the people who completed the program, thus it is hypothesis about population perimeter. The average blood pressure difference of the population is denoted by [tex]\mu_D[/tex] and that of the sample is denoted by [tex]\overline{x}_D[/tex]
Thus, we have:
Null hypothesis = the difference in average blood pressure before and after the program of the population is not changed(thus 0 is the difference) = [tex]H_0: \mu_D = 0[/tex]
Alternate hypothesis = the difference in average blood pressure is reduced(since the test is for seeing if the blood pressure is reduced or not) = [tex]H_a: \mu_D < 0[/tex]
Thus,
The correct set of hypothesis is given by:
Option E. [tex]H_0: \mu_D = 0[/tex]
[tex]H_a: \mu_D < 0[/tex]
Learn more about null and alternative hypothesis here:
https://brainly.com/question/18831983
Factor the expression 49t4 - 25 using the polynomial identity (x2 - y2) = (x - y)(x + y)
Answer:
Step-by-step explanation:
49t^4-25
(7t^2-5)(7t^2+5)
A store marks a TV down from $499 to $350. Which expression can be used to calculate the percent decrease?
Answer:
499-350
Step-by-step explanation:
455-350=?
Find the slope from the graph.
Answer:
1/6
Step-by-step explanation:
Answer:
-2/3
Step-by-step explanation:
rise=-2
run=3
rise/run(slope)=-2/3
solve this 50+50-25×0+2+2
Darren wants to save 1,125 for his vacation. When he saved 3 times as much as he has already saved, he will need only 27 more. how much has he saved so far
Answer:
125
Step-by-step explanation:
If a bootle says 8% fruit juice and it is a 120 milliliter bottle , how many milliliters of fruit juice ?
Answer:
9.6
Step-by-step explanation:
If the sum of two numbers is 4 and the sum of their spuares minus three times their product is 76, find the numbers
Answer:
[tex]Suppose~that~two~numbers~are~x~and~y.\\From~the~first~condition,\\x+y=4.........(1)\\or, y=4-x.......(2)\\From~the~second~condition,\\x^2+y^2-3xy=76\\or, (x+y)^2-2xy-3xy=76\\or, 4^2-5xy=76\\or, -5xy = 76-16\\or, -5xy = 60\\or, xy = -12\\From~eq^n~(2),\\x(4-x)=-12\\or, 4x-x^2=-12\\or, x^2-4x-12=0\\or, x^2 +2x-6x-12=0\\or, x(x+2)-6(x+2) = 0\\or,(x+2)(x-6) = 0\\i.e. x = -2 ~or ~6\\When~ x=-2, y=4-(-2) = 4+2 =6\\When~x=6, y=4-6 = 4-6 = -2\\So,~the~two~numbers~are~-2~and~6.[/tex]
Answer:
-2 and 6
Step-by-step explanation:
Mark the first number as x
and the second number as y
Since x + y = 4
y = 4 - x
// substitute the given value of y into the equation
[tex]x^{2} + y^{2}[/tex] - 3xy = 76
[tex]x^{2}[/tex] + [tex](4-x)^{2}[/tex] - 3 * x * (4 - x) = 76
[tex]x^{2}[/tex] + 16 - 8x + [tex]x^{2}[/tex] - 12x + 3[tex]x^{2}[/tex] = 76
[tex]x^{2}[/tex] + [tex]x^{2}[/tex] + 3[tex]x^{2}[/tex] - 20x = 76 - 16
5[tex]x^{2}[/tex] - 20x = 60
5[tex]x^{2}[/tex] - 20x - 60 = 0
// divide both sides by 5
[tex]x^{2}[/tex] - 4x - 12 = 0
// write -4 x as a difference, this way it is faster than calculating discriminant
[tex]x^{2}[/tex] + 2x - 6x - 12 = 0
// factor out x and -6 from the expression
x (x +2) - 6 (x +2) = 0
(x - 6) * (x + 2) = 0
// there are two possible cases
1) x - 6 = 0
2) x + 2 = 0
1) x = -2
2) x = 6
// substitute the given value of x into the equation
1) y = 4 - x = 4 - (-2) = 6
2) y = 4 - x = 4 - 6 = -2
Now we get two pairs (-2; 6) and (6; -2), which are the solutions to the system
Since their sequence as the question suggests is irrelevant, the numbers are -2 and 6
The table shows the results of a survey of 100 people selected at random
at an airport. Find the experimental probability that a person selected at
random is going to City C.
The experimetal probability that a person selected at random is going to city C is
Answer:
[tex]\frac{4}{25}[/tex]
Step-by-step explanation:
22/200 simpilfy is 4/25
The experimental probability that a person selected at random is going to city C is P ( C ) = 4/25 = 0.16
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
Let the experimental probability that a person selected at random is going to city C is P ( C )
Now , the total number of people in the city = 100
The number of people going to city C = 16
So , P ( C ) = number of people going to city C / total number of people in the city
On simplifying , we get
P ( C ) = 16 / 100
P ( C ) = 4/25
P ( C ) = 0.16
Hence , the probability is 0.16
To learn more about probability click :
https://brainly.com/question/17089724
#SPJ2
What is the y-intercept of the graph of f ?
Answer:
(0,4)
Step-by-step explanation:
y intercept is where the line crosses the y axis
Answer:
4
Step-by-step explanation:
An iPhone that is marked $500 is marked up 250%.
What is the new price of the iPhone?
$750
$1750
$1250
$1000
Answer:
1250Step-by-step explanation:
This would be 500 x 250/100 = 125000/100 = 1250
5% of a number is 23
1% percent of the same
number is 6.4
Work out 16% of the number
Answer:
73.6Step-by-step explanation:
Let the number be mso, 5% × m = 23 5 m = 23100m = 23 × 100 5m = 46016% of that number 16 × 460 = 73.610016% of the number is 73.6Jordan and Beth are mixing yellow and blue paint to make green paint.
They are both using the same shades of yellow and blue paint.
A green paint made with a higher proportion of blue produces a darker green
Jordan mixes the yellow and blue paint in the ratio of 5:2.
Beth mixes the yellow and blue paint in the ratio of 18:7.
Who has the darker green paint?
Answer:
Jordan
Step-by-step explanation:
Jordan 5:2 -> 10:4, 15:6 20:8 25:10 50:20 60:24 70:28
Beth 18:7-> 36:14 54:21 72:28
When Both of them add 28 of BLUE paint, Jordan adds only 70 yellow paint, while Beth uses 72 yellow paint. This would make Jordan's green darker.
Answer:
HI RACHEL
Step-by-step explanation:
so you do 1 + 1 which equalls to -8
then you do 7 - 9 which qualls 67
LOOL
a) 8801
+2031
_______
Answer:
the answer is 10832
Step-by-step explanation:
you can use a calculator
Answer:
10832
Step-by-step explanation:
Add one digit at the time (from right to left):
1 + 1 = 2
0 + 3 = 3
8 + 0 = 8
8 + 2 = 10
Now we get 10832
What is the y-intercept of the Function
Answer:
(0, 3)
General Formulas and Concepts:
Algebra I
Reading a Cartesian planeCoordinates (x, y)The y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis.Step-by-step explanation:
According to the graph, when x = 0, we see that y = 3. Therefore, our y-intercept is (0, 3).
What would be the y- intercept for the function y=3x-6?
Answer:
the y intercept would be at (0,-6)
An equation is shown below:
8(2x − 14) + 13 = 4x − 27
Part A: Write the steps you will use to solve the equation, and explain each step. (6 points)
Part B: What value of x makes the equation true? (4 points)
Amd please show the work.
Step-by-step explanation:
first distribute the first equation
8(2x) - 8(14) +13 = 4x -27
16x - 112 +13 = 4x -27
then combine like terms
16x - 99 = 4x -27
subtract 4x from both sides
12x - 99 = -27
add 99 to both sides
12x = 72
divide both sides 12 to isolate the x
x = 72/12 = 6
Dave divided 3/5 of a gallon of plant fertilizer evenly among 6 smaller bottles. How many gallons did he put in each bottle?
Whoever answers first gets brainliest please help
Answer:
Brothers Sorry I don't
Step-by-step explanation:
Please give thanks to all my answers and please mark as brilliant and please follow me
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.
How do I write this equation without fractions or decimals?
2-(3/4)x=2/5
What is the least common denominator of the rational expressions below?
1/x^2 - 4/3x^2+15x
Answer:
The LCD is 3x²
The other two denominators can be factors of 3x²
Step-by-step explanation:
To get the equivalent fractions, divide the original denominator into the LCD, then multiply the original numerator by the quotient.
For the first term: 1/x²
3x² ÷ x² = 3 3×1=3 The equivalent is 3/3x²
Second term: Leave it as it is.
For the third term: 15x
The implied denominator is 1
3x² ÷ 1 = 3x² 3x² × 15 = 135x²
The equivalent is 135x²/3x²
To check the validity, substitute a value for x and calculate the numbers.
For example let x = 3
The original expression becomes
1/3² + 4/3(3²) - 15(3)
1/9 + 4/27 - 45
With the LCD it is
3/27 + 4/27 - 1215/27
Answer:
3x^2(x+5)
Step-by-step explanation:
hope this helps
Find the absolute value.
What is the absolute value of four
Answer:
whats the graph???
Step-by-step explanation:
Answer: 4
Step-by-step explanation:
When it’s an absolute value no matter what it’s inside the braces ( “ | # | “ ) it’s a positive. While the signs outsides can stay the same
b. 3.3 x 0.8 =
3 3
х
8
Answer: the answer is 2.64 or 264
Explanation: if you multiply 3.3 × 0.8=264 but if you mulyiply 33×8=264
which fraction is 16/64 in lowest terms
PLEASE SHOW HOW U DID UR PROBLEM
Answer:
16/64 simplified to lowest terms is 1/4
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 16 and 64 is 16
Divide both the numerator and denominator by the GCD
16 ÷ 16
64 ÷ 16
Reduced fraction:
1/ 4
Answer:
1/4
Step-by-step explanation:
Steps to simplifying fractions
Find the GCD (or HCF) of numerator and denominator
GCD of 16 and 64 is 16
Divide both the numerator and denominator by the GCD
16 ÷ 16
64 ÷ 16
Reduced fraction:
1 / 4
Therefore, 16/64 simplified to lowest terms is 1/4.
Your warehouse had 51 cases of Happy Cola at the start of your shift. A truck arrived this morning with another 25 cases of Happy Cola. How many cases of Happy Cola do you have now?
Answer:
76 cases
Step-by-step explanation:
original 51 plus the 21 new is equal to 76 total
Sasha ran 2/3 of a 27km race before she stopped to walk. How
many kilometers had she run at that point?
Answer:
2/3 of 27=18 km
Step-by-step explanation:
Kaitlin has four and two-thirds berry pies. She is going to share it equally among 12 people. How much pies will each person get?
Answer:
7/18
Step-by-step explanation:
4 2/3=14/3
(14/3)/12=14/36
reduces to
7/18
Escribe y Resulve la inecuación
Una cuenta de ahorro aumentada en $ 70 es ahora más de $ 400.
Deje que el dinero en la cuenta de ahorros sea 'x'.
Entonces, el dinero en la cuenta después de que se aumentó = x+70
Dado :
▪︎El dinero en la cuenta después de que se aumentó es mayor que 400.
Las declaraciones dadas anteriormente se pueden escribir en una desigualdad como :
[tex] =\tt x + 70 > 400[/tex]
Resolvamos esta desigualdad :
[tex] = \tt \: x + 70 > 400[/tex]
[tex] = \tt \: x > 400 - 70[/tex]
[tex]\color{plum} =\tt x > 330[/tex]
▪︎Por lo tanto, la desigualdad es = x > 330
Martha brought all of her money with her to the mall. She spent $22.50 on a shirt, so
now she has 3/5 of her original amount left. How much money did Martha bring to the
mall originally?
Answer:
56.25
Step-by-step explanation:
divided 22.50 in half to get 1/5 then times that 1/5 by 5 to get the answer
Solve the proportion:
-9/6 = 3/x
Answer:
-2
Step-by-step explanation: