Answer:
the correct choice is B
Step-by-step explanation:
4 goes into 20 5 times and 20 goes into 100 5 times as in 20x5=100 therefore it is 20%
The probability of randomly selecting a cream-filled chocolate is option (B) 4/20 = 20%.
ProbabilityProbability is the ratio of the fovourable outcome to the total outcomes.
Total number of chocolates in the box is 20 and total number of cream-filled chocolates are 4.
How to find the probability?Favourable number of outcomes is cream-filled chocolate i.e., [tex]4[/tex]
Total number of outcomes are [tex]20[/tex]
Probability of randomly selecting a cream-filled chocolate is-
[tex]P=\dfrac{4}{20}\times 100\\ \text { }=20\%[/tex]
As a result, option B is the correct answer.
#SPJ2
In a shoe factory, 2.4% shoes made are defective. If the company made 10,000 shoes then the number of defective pieces are
During the first 13 weeks of the television season, the Saturday evening 8:00 p.m. to 9:00 p.m. audience proportions were recorded as ABC 30%, CBS 27%, NBC 26%, and independents 17%. A sample of 300 homes two weeks after a Saturday night schedule revision yielded the following viewing audience data: ABC 96 homes, CBS 69 homes, NBC 90 homes, and independents 45 homes.Test with α = 0.05 to determine whether the viewing audience proportions changed.State the null and alternative hypotheses.H0: pABC ≠ 0.30, pCBS ≠ 0.27, pNBC ≠ 0.26, pIND ≠ 0.17Ha: pABC = 0.30, pCBS = 0.27, pNBC = 0.26, pIND = 0.17 H0: pABC = 0.30, pCBS = 0.27, pNBC = 0.26, pIND = 0.17Ha: pABC ≠ 0.30, pCBS ≠ 0.27, pNBC ≠ 0.26, pIND ≠ 0.17 H0: The proportions are not pABC = 0.30, pCBS = 0.27, pNBC = 0.26, pIND = 0.17.Ha: pABC = 0.30, pCBS = 0.27, pNBC = 0.26, pIND = 0.17 H0: pABC = 0.30, pCBS = 0.27, pNBC = 0.26, pIND = 0.17Ha: The proportions are not pABC = 0.30, pCBS = 0.27, pNBC = 0.26, pIND = 0.17.Find the value of the test statistic. (Round your answer to three decimal places.)Find the p-value. (Round your answer to four decimal places.)p-value =State your conclusion.Reject H0. There has been a significant change in the viewing audience proportions. Reject H0. There has not been a significant
change in the viewing audience proportions. Do not reject H0. There has been a significant change in the viewing audience proportions. Do not reject H0. There has not been a significant change in the viewing audience proportions.
Part 1: Do not reject H0. There has not been a significant change in the viewing audience proportions.(The above conclusion holds as the p-value is greater than the significance level of 0.05)
Part 2:
H0:
Ha:
Part 3: The test statistic is given as 3.0081.
Part 4: The p-value is given as 0.39037
Step-by-step explanation:
As per the data
Part 2
H0:
Ha:
Part 3
As per the sample is of 300 homes, the expected values are given as
ABC=p(ABC)*300=0.30*300=90
CBS=p(CBS)*300=0.27*300=81
NBC=p(NBC)*300=0.26*300=78
IND=p(IND)*300=0.17*300=51
Now the values actually are given as
ABC=94
CBS=71
NBC=88
IND=47
So the test static is given as
So the test statistic is given as 3.0081.
Part 4
Now the degree of freedoms are given as 4-1=3
and chi square is given as 3.0081 so for α = 0.05 , the p-value is given as 0.39037
Part 1.
As the value of p in part 4 is greater than the value of α = 0.05, thus Do not reject H0. There has not been a significant change in the viewing audience proportions.(The above conclusion holds as the p-value is greater than the significance level of 0.05)
Which of the following best describes the equation below? y = x + 8 OA. function only B. both a relation and a function Oc. neither a relation nor a function OD. relation only?
9514 1404 393
Answer:
B. both a relation and a function
Step-by-step explanation:
Every linear equation with defined slope is both a relation and a function.
__
Only a vertical line of the form x=constant is linear equation that is a relation, but not a function.
Simplify: (5x + 3) – (3x – 2)
Answer: 2x+5
Step-by-step explanation:
(5x + 3) – (3x – 2)
5x+3-3x+2
2x+5
Answer:
[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]
╭⋟───────────────
[tex](5x+ 3) - (3x - 2) \\ = 5x + 3 - 3x + 2 \\ = 5x - 3x + 3 + 2 \\ = 2x + 5[/tex]
───────────────⋞╯
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
This is my last one I’m happy
Answer:
105
Step-by-step explanation:
So, we know the formula is:
D=rt or D=r*t
We only need 2 of the 3 sets of values given in the table, one to find our answer, and the other to double check our answer.
Here are the two sets we can look at:
t=2, d=210
t=3, d=315
Lets plug these in and solve:
210=r*2
Divide both sides by 2 to get r alone:
105=r
Now lets check if this is true by pluggin in 105 for r in the second set, and seeing if it works:
D=r*t
315=105*3
=
315=315
So 105 is our answer.
Hope this helps!
Solve for X in the triangle. Round answer to the nearest TENTH (GIVING BRAINLEST TO BEST ANSWER :D )
Answer:
What ever.....
tan46 = x/8
x = 8×tan46
x = 8,28424251
point o is the center of this circle what is m angle CAB
a 55
b 48
c 45
d 35
Answer:
m< CAB = ½× 96° = 48° (option b)
The cost of making 6 chairs is $410. The cost of making 22 chairs is $570.
What is the cost per chair?
What is the fixed cost (or startup cost) that you need to spend before making the first chair?
Write a linear equation that tells you the total cost, C. of making x chairs.
CE
What is the total cost of making 17 chairs? $
If your total cost is $820, how many chairs did you make?
Answer:
if it cost 410 dollars to make 6 chairs we can divide 410 by 6 which is 68.3333333333 or 68 1/3
now for the other set of chairs we can divide 570 by 22 which is
25.9090909091 or 25.9
and for the rest it doesn't make any sense to me sorry
Find an equation for the line perpendicular to y= -4/3x+5 with y-intercept (0,-12). Write the answer in slope-intercept form
Answer:
y=3/4x−12.
Step-by-step explanation:
Slope of the perpendicular line is negative inverse: m=34.
The equation of the perpendicular line is y=3x4+a.
To find a, we use the fact that the line should pass through the given point: −12=(34)⋅(0)+a.
a=−12.
Therefore, the equation of the line is y=3x4−12.
If this helps you, please give bainliest!
Find the area of the following circle.
plz I need this fast!
------11m------
379.94 m 2
34.54 m 2
94.985 m 2
17.27 m 2
Answer:
[tex]A=379.94\ m^2[/tex]
Step-by-step explanation:
Given that,
The radius of a circl is 11 m
We need to find the area of the circle. The forcemula for the area of a crcle is given by :
[tex]A=\pi r^2[/tex]
Put all the values,
[tex]A=3.14\cdot11^{2}\\A= 379.94\ m^2[/tex]
So, the area of the circle is equal to [tex]379.94\ m^2[/tex].
Answer:94.985 m 2
Step-by-step explanation:
Find the 22nd term of the arithmetic sequence whose common difference is d =3 and whose first term is a_1=-20
sum of 15,-2 and 7 is
Answer:
20
Step-by-step explanation:
15+(-2)+7=13+7=20
[tex]\longrightarrow{\blue{20}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]\:15 + ( - 2) + 7[/tex]
➺ [tex] \: 15 - 2 + 7[/tex]
➺ [tex] \: 22 - 2[/tex]
➺ [tex] \: 20[/tex]
Note:-[tex]\sf\pink{PEMDAS\: rule.}[/tex]
P = Parentheses
E = Exponents
M = Multiplication
D = Division
A = Addition
S = Subtraction
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
2
Question 10 Multiple Choice Worth 5 points)
(06 02 MC)
Given the following system of equations and its graph below, what can be determined about the slopes and y-intercepts of the system of equations?
1
5x + 2y = 2
3x - 3y = 18
The slopes are the same, and the y.Intercepts are the same
The slopes are the same, and the y-intercepts are different
The slopes are different, and the y-intercepts are the same
Previous Question
Question 1 (Answered)
ON
Type here to search
O
BE
C
84'F Rain coming
AG
Answer:
the slopes are different, and the y-intercepts are also different
Step-by-step explanation:
We can rewrite the equations given in slope-intercept to easily determine the slope (m) and the y-intercept (b). Slope-intercept equation is y = mx + b
Let's rewrite each equation:
✔️5x + 2y = 2
Subtract 5x from each side
2y = -5x + 2
Divide both sides by 2
y = -5x/2 + 2/2
y = -⁵/2(x) + 1
The slope (m) = -⁵/2
y-intercept (b) = 1
✔️3x - 3y = 18
Subtract 3x from each side
-3y = -3x + 18
Divide both sides by -3
y = -3x/-3 + 18/-3
y = x - 6
Slope (m) = 1
y-intercept (b) = -6
✅Therefore, the slopes are different and the y-intercepts are also different
HELP!! I don’t know part c or d and I need to know if part a and b are correct thanksss
Answer:
d=67257
c=93
Step-by-step explanation:
Check my work
Concerns about climate change and CO2 reduction have initiated the
commercial production of blends of biodiesel (e.g., from renewable sources)
and petrodiesel (from fossil fuel). Random samples of 48 blended fuels are
tested in a lab to ascertain the bio/total carbon ratio.
(a) If the true mean is.9200 with a standard deviation of 0.0050, within what
interval will 99 percent of the sample means fall? (Round your answers to 4
decimal places.)
The interval is from
to
(
I need about 2 of these but pls explain so I can learn and try on my own pls
These problems are based on the Pythagorean Theorem. The Pythagorean Theorem is a^2 + b^2 = c^2. If the two sides are equal, the triangle is a right triangle. If c^2 is less, the triangle is acute. If c^2 is more, the triangle is obtuse.
Obtuse: c^2 > a^2 + b^2
Acute: c^2 < a^2 + b^2
Right: c^2 = a^2 + b^2
#7 --- Obtuse
21^2 ___ 8^2 + 15^2
441 ___ 64 + 225
441 > 289
#8 --- Right
20^2 ___ 12^2 + 16^2
400 ___ 144 + 256
400 = 400
#9 --- Acute
6^2 ___ 4^2 + 5^2
36 ___ 16 + 25
36 < 41
Hope this helps!
Write the following sentence using mathematical symbols.
The product of 9 and x is less than or equal to - 40.
The answer is
Evaluate integral tan^6(2x) sec^4(2x) dx.
Answer:
Is the question original or you simply made it.
What is the volume of the following rectangular prism? (please help)
Answer:
?
Step-by-step explanation:
i think ljhh ako naiintindihan
Is 11/15 repeating? If not, how many places does it take to terminate?
Answer:
repeating due to the denominator
Step-by-step explanation:
11/15 = (11/5)×(1/3)
11/5 terminates after 1 place.
but 1/3 is repeating due to the denominator, and that propagates into the result of the multiplication.
Which values are NOT in the domain of the function?
f(x)
x +4
x2 – 25
O
A) x = -4,4
B) 2 = -5,4
C) x = -4,5
OD) X = -5,5
Given:
The function is:
[tex]f(x)=\dfrac{x+4}{x^2-25}[/tex]
To find:
The values that are NOT in the domain of the given function.
Solution:
We have,
[tex]f(x)=\dfrac{x+4}{x^2-25}[/tex]
This function is a rational function and it is defined for all real values of x except the values for which the denominator is equal to 0.
Equate the denominator and 0.
[tex]x^2-25=0[/tex]
[tex]x^2=25[/tex]
Taking square root on both sides, we get
[tex]x=\pm \sqrt{25}[/tex]
[tex]x=\pm 5[/tex]
So, the values [tex]x=-5,5[/tex] are not in the domain of the given function.
Therefore, the correct option is D.
Which function is shown in the graph below?
Answer:y=log1x
Step-by-step explanation:
whats the probabily of drawing one blue marbel from a bag that contains 4 red marbels 6 green marbles and 1 white marbel and 3 blue marble
Answer: 3/14
Step-by-step explanation:
Number of red marbles = 4
Number of green marbles = 6
Number of white marbles = 1
Number of blue marbles = 3
Total number of marbles = 14
Therefore, the probability of drawing one blue marble will be:
= Number of blue marbles / Total number of marbles
= 3/14
PLEASE HELP QUICK!! WILL GIVE BRAINLIEST ANSWER!!!!!!!
Answer:
X = 32
Step-by-step explanation:
Angle BEC = 43 degrees
You find X by setting up the equation 137 = 3x+41
Solve for x
You find angle BEC by subtracting 137 from 180, finding the acute angle that brings the obtuse angle up to 180 degrees (a flat line)
Answer:
x = 32 degree and angle BEC = 43 degree
Step-by-step explanation:
3x + 41 = 137 degree (being vertically opposite angles)
3x = 137 - 41
x = 96/3
x = 32
angle BEC be y
137 + y =180 degree (being linear pair)
y = 180 - 137
y = 43 degree
therefore angle BEC = 43 degree
What is the equation of a circle with center (1,-4) and radius 2?
O
A. (x-1)2 + (y + 4) = 4
B. (x-1) - (y + 4)2 - 4
O C. (x+1)2 + (y - 4)2 - 4
D. (x - 1)2 + (y + 4)2 - 2
A student's course grade is based on one midterm that counts as 20% of his final grade, one class project that counts as 10% of his final grade, a set of homework assignments that counts as 50% of his final grade, and a final exam that counts as 20% of his final grade. His midterm score is 63, his project score is 89, his homework score is 92, and his final exam score is 77. What is his overall final score? What letter grade did he earn (A, B, C, D, or F)? Assume that a mean of 90 or above is an A, a mean of at least 80 but less than 90 is a B, and so on
Answer:
85 i guess
Step-by-step explanation:
What is the answer to number question
Answer:
1.5
Step-by-step explanation:
5*.3
what are the range and domain?
Answer:
domain=0
range=2
Step-by-step explanation:
this might be helpful..
The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of 6 minutes and a population standard deviation of 2 minutes.
Find the probability that it took less than one minute to find a parking space. Round answer to four decimal places.
Answer:
56
Step-by-step explanation:
Answer: 0.0062
Step-by-step explanation:
Help with number 16 please
Answer:
the answer is c. 300
Step-by-step explanation:
18+32×12÷2
base 1 + base 2 × height ÷ 2
