Answer:
The pvalue of the test is 0.0784 > 0.01, which means that at this significance level, we do not reject the null hypothesis that the percentage of blue candies is equal to 29%.
Step-by-step explanation:
The candy company claims that the percentage of blue candies is equal to 29%.
This means that the null hypothesis is:
[tex]H_{0}: p = 0.29[/tex]
We want to test the hypothesis that this is true, so the alternate hypothesis is:
[tex]H_{a}: p \neq 0.29[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.29 is tested at the null hypothesis:
This means that [tex]\mu = 0.29, \sigma = \sqrt{0.29*0.71}[/tex]
Suppose that in a random selection of 100 colored candies, 21% of them are blue.
This means that [tex]n = 100, X = 0.21[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.21 - 0.29}{\frac{\sqrt{0.29*0.71}}{\sqrt{100}}}[/tex]
[tex]z = -1.76[/tex]
Pvalue of the test:
The pvalue of the test is the probability of the sample proportion differing at least 0.21 - 0.29 = 0.08 from the population proportion, which is 2 multiplied by the pvalue of Z = -1.76.
Looking at the z-table, z = -1.76 has a pvalue of 0.0392
2*0.0392 = 0.0784
The pvalue of the test is 0.0784 > 0.01, which means that at this significance level, we do not reject the null hypothesis that the percentage of blue candies is equal to 29%.
What is the measure of angle XYZ?
Answer:
D
Step-by-step explanation:
D
[tex]angle \: xyz = \frac{1}{2} arc \: xz[/tex]
NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER
Answer:
y = 500x + 5000
Step-by-step explanation:
Khan uses 78ft of fence for a pen and the length is 25ft. What is the width
Answer:
The width is 14ft
Step-by-step explanation:
Given
[tex]Fence = 78[/tex]
[tex]Length = 25[/tex]
Required
Determine the width
To do this, we assume that the fence is a rectangle
So, we use the following formula.
[tex]Perimeter = 2 * [Length + Width}[/tex]
Where:
[tex]Perimeter = Fence = 78[/tex]
So, we have:
[tex]78= 2 * [25 + Width}[/tex]
Divide both sides by 2
[tex]39= 25 + Width[/tex]
Solve for Width
[tex]Width = 39 - 25[/tex]
[tex]Width = 14[/tex]
WILL NAME BRAINLIST PLEASE
Use the table to write a linear function that relates y to x . PLEASE NO HACKERS
y=
Answer:
y= -1/4x
Step-by-step explanation:
Answer:
Step-by-step explanation:
y= -1/4x
I really need help!!!
If the lengths of two sides of a triangle are 3 and 4, which could be the length of the third side?
Answer: It’s 5 if it’s the two legs
Step-by-step explanation:
Use the Pythagorean Theorem
There are six professors teaching the introductory discrete mathematics class at a university. The same final exam is given by all six professors. If the lowest possible score on the final is 0 and the highest possible score is 100, how many students must there be to guarantee that there are two students with the same professor who earned the same final examination score
Answer:
607 students
Step-by-step explanation:
To solve this question means we have to use Pigenhole principle which states that if y number of items are put into z number of containers, with y > z, then it means that that at least one container must definitely contain more than one item.
Now, let's find the number of boxes and objects:
If possible scores are from 0 to 100 with both inclusive it means number of possible scores = 101.
Now, If there was only one professor grading the students, in order to ensure that that there are two students with the same professor who earned the same final examination score,
The number of students would have to be = 101 + 1 = 102 students
Meanwhile, for each student, since there are 6 professors, the possible combination for a score will be = 6 possible combinations.
Therefore, number of students that will guarantee that there are two students with the same professor who earned the same final examination score must be a minimum of: (6 × 101) + 1 = 607
A and b are positive integers and a-b=2. Evaluate the following: 4^1/2 / 2^b
Allison used 2 cups of flour to make a
cake, and of a cup of flour to make
a pie. If she started with 4 cups of
flour, how many cups of flour does she
have left?
Answer:
wouldnt she have 1
Step-by-step explanation:
well there might be a typo with and of a cup of flour but ya
I think it would be one
14. Find the value(s) of the variable(s). If necessary, round decimal answers to the nearest
tenth.
32
19
5
9514 1404 393
Answer:
11.9
Step-by-step explanation:
The tangent relation tells you ...
tan(32°) = x/19
x = 19·tan(32°)
x ≈ 11.9
please help lolllllll
Samantha opened a savings account and deposited $200.00. The account earns 10% interest, compounded monthly. If she wants to use the money to buy a new bicycle in 3 years, how much will she be able to spend on the bike?
Answer:
200(1.10^1)
Step-by-step explanation:
Please tell me please
Answer: 35%
Step-by-step explanation:
20 bars
7 unshaded - not installed
7/20 = 0.35 = 35%
Find the difference. Write your answer in the simplest form. 7/10 -1/4
Answer:
[tex]\frac{9}{20}[/tex]
Step-by-step explanation:
Answer:
7/40 So sorry if I'm wrong!
Step-by-step explanation:
The question: " match each drawing with a triangle congruence postulate that can be used to prove the triangles are congruent, if any."
Possible answers
Side angle side (SAS)
Angel side angle (ASA)
Hypotenuse leg (HL)
Not possible
Answer:
1 : Hypotenuse leg (HL)
2: Angle side angle (ASA)
3: Side angle side (SAS)
Step-by-step explanation:
Given
See attachment for triangles
Required
Determine the congruence postulate
Figure (1):
From the attachment;
[tex]AC = BD[/tex] --- The hypotenuse
[tex]CB = CB[/tex] --- One other leg
Since the hypotenuse and one other leg of both triangles are congruent, then the postulate is: HL
Figure (2):
From the attachment, we have:
[tex]150^\circ = 150^\circ[/tex] --- Angle
[tex]15^\circ = 15^\circ[/tex] ---- Angle
The horizontal line that divides both triangles show that they have a congruent side.
Hence, the postulate is: ASA
Figure (3):
From the attachment, we have:
A pair of single marks (Side)
A pair of double marks (Side)
A pair of equal angles
Hence, the postulate is: SAS
need help!! I don't know how to solve theseeeeeeeeeeeeeeeeeeeeeeeeeeee.
1/5 x 3/8 x (-5) as a fraction in simplest form
Answer:
-3/8
Step-by-step explanation:
nothing can be simplified further
Which of the following is larfest 15% 0.153 1/7 1/12
Suppose that a cylinder has a radius of r units, and that the height of the cylinder is also r units. The lateral area of the cylinder is 338 square units. Find the value ofr.
Answer:
r = 7.33 units
Step-by-step explanation:
Given that,
A cylinder has a radius of r units, and that the height of the cylinder is also r units.
The lateral area of the cylinder is 338 square units.
We need to find the value of r.
The formula for the lateral area of the cylinder is given by :
[tex]A=2\pi rh[/tex]
Put all the values,
[tex]2\pi r^2=338\\\\r=\sqrt{\dfrac{338}{2\pi}} \\\\r=7.33\ unit[/tex]
So, the value of r is equal to 7.33 units.
what is the least common denominator of 1/2, 2/3, and 3/8
Answer: 24
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
For the least common denominator, we have to find the smallest number that all fo them multiply to.
2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26
3, 6, 9, 12, 15, 18, 21, 24, 27, 30
8, 16, 24, 32
i think we can see something
24 is the most common number between them all, so the fractions will be
12/24 (1/2), 16/24 (2/3), and 9/24 (3/8)
does 14, 19, 26 make a right triangle
Answer:
no one of them has to be 90 degrees
Step-by-step explanation:
Answer:
no it doesnt
Step-by-step explanation:
Some one please help me find the slope of this line Thanks!
Answer:
1/2
Step-by-step explanation:
The slope can be found by looking at the Rise over run or in other words how ever much it moves up over how much it move right.
if x is 6 what is x + 4
Answer:
put six on the place of x..
Step-by-step explanation:
So 6+4 =10 Answer
hope it helps
Four parties participated in 2018 Provincial election in Ontario; PC, NDP, Liberal, Green party. PC captured 40% of the vote, NDP 30%, Liberal 25%, and the Green party 5%. A survey of 1000 voters asked each to identify the party that they would vote for in the next election. These results were PC=415, NDP=256, Liberal=271, and Green party = 58. Can we infer at 5% level of significance that the voter support is going to change in the next election?
For Observed I get 1000 and a 100 for the expected. The teacher says O-E always = 0???
Answer:
In no case will there be a modification greater than 5%, thus, it cannot be inferred that the voter support will change in the next election.
Step-by-step explanation:
Given that four parties participated in 2018 Provincial election in Ontario; PC, NDP, Liberal, Green party, and PC captured 40% of the vote, NDP 30%, Liberal 25%, and the Green party 5%, and the survey of 1000 voters asked each to identify the party that they would vote for in the next election, and its results were PC = 415, NDP = 256, Liberal = 271, and Green party = 58, to determine if it can be inferred at 5% level of significance that the voter support is going to change in the next election the following calculations must be performed:
PC = 40 - (415/1000 x 100) = 40 - 41.5 = -1.5
NDP = 30 - (256/1000 x 100) = 30 - 25.6 = 4.4
Liberal = 25 - (271/1000 x 100) = 25 - 27.1 = -2.1
Green Party = 5 - (58/1000 x 100) = 5 - 5.8 = -0.8
Therefore, as can be seen, in no case will there be a modification greater than 5%, thus, it cannot be inferred that the voter support will change in the next election.
Katie made 2 gallons of lemonade for the party. Which expression can
be used to find the number of cups
Katie made?
Answer:
In one gallon, there are four quarts. 1 quart is 0.5 pints. 1 cup is 0.25 quartz
Step-by-Step:
Use those measurements to convert gallons into cups and find your expression.
What is the radius of a sphere with a volume of 4186 in3 to the nearest tenth of an inch?
Answer:
10 inches
Step-by-step explanation:
r=(3V
4π)⅓=(3·4186
4·π)⅓≈9.99778in
Is this true or false?
Answer:
TRUE
Step-by-step explanation:
Evaluate the function h(x)=−2x+10 when x=3.
Answer:
h(x)=4
Step-by-step explanation:
h(x)=−2x+10
h(x)=−2(3)+10
=-6+10
=4
PLEASE HELP!!!!!!!! GIVING BRAINLIEST, FIVE STAR RATING, AND A SHOUTOUT FOR MY NEXT QUESTION.
errrr.... the shoutout for this one is for purpl!
Answer:
the answer is 12 inches long
How to simplify this expression?
(12^15+12^30-12^49)/(-12^28+12^47-(144^6)/12)
Express the answer as 12^?.
Hint: You have to factor 12^? from the top or bottom so that the expression becomes x/(12^?)(x) or (12^?)(x)/x. Then the x should cancel out, and you get 12^? as the answer.
Thanks!!
Answer:
[tex]12^-^2[/tex]
Step-by-step explanation:
I hope this helps.
Let X={a,b,c,3,4,5) and Y = {b,d,f,3,5,7).
List the members of the set XU Y, using set braces.
XUY= { }
(Use a comma to separate answers as needed.)
Answer:
{a,b,c,d,f,3,4,5,7}
Step-by-step explanation:
If X={a,b,c,3,4,5}
Y={b,d,f,3,5,7}
THEREFORE {XUY}= {a,b,c,d,f,3,4,5,7}
XUY represents the union of sets X and Yas {a, b, c, d, f, 3, 4, 5, 7}.
What is a set?A set is defined as a group of objects in mathematics. Set names and symbols begin with a capital letter. According to set theory, a set's constituent parts can be included in anything.
The sets are given in the question, as follows:
X = {a,b,c,3,4,5}
Y = {b,d,f,3,5,7}
We have to determine the members of the set XUY, using set braces.
As per the question, the required solution would be as:
XUY = {a, b, c, d, f, 3, 4, 5, 7}
XUY represents the union of sets X and Y, which contains all elements that are in set X or set Y, or in both. Since none of the elements in set X or set Y are repeated, all of the elements in set X and set Y are included in the union without duplication.
Learn more about set theory here:
brainly.com/question/23454979
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