Answers
Answer:
Step-by-step explanation:6 type
5/25=1/5=20%
1-1/5=4/5=80%
The types of candles are 6. And the probability of a small pink candle and NOT a small pink candle will be 0.20 and 0.80, respectively
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.
Then the probability is given as,
P = (Favorable event) / (Total event)
The table is given below.
Small Medium Large Total
White 9 3 5 17
Pink 5 2 1 8
Total 14 5 6 25
The types of candles are given as,
⇒ 2 x 3
⇒ 6
The probability of a small pink candle is as,
P = 5/25
P = 0.20
The probability of NOT a small pink candle is as,
Q = 1 - P
Q = 1 - 0.20
Q = 0.80
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Related Questions
A circle with center 0 and radius 5 has a central angle X O Y . If m ˆ X Y = 60 ∘ , what is the length of chord X Y ? Round your answer to the nearest whole number.
Answers
Answer: 5
Step-by-step explanation:
As all radii of a circle are congruent, [tex]\overline{OX} \cong \overline{OY}[/tex], it follows that [tex]\angle OXY \cong \angle OYX[/tex].
Because arc XY measures 60 degrees, we also know that [tex]m\angle XOY=60^{\circ}[/tex], and thus triangle OXY is equilateral.
Hence, XY=5 because all sides of an equilateral triangle are congruent.
Find the next number in the sequence: 10, 37, 82, 145, 226,
Answers
Answer:
325
Step-by-step explanation:
10 is 3^2 + 1
37 is 6^2 + 1
82 is 9^2 + 1
145 is 12^2 + 1
226 is 15^2 + 1
325 is 18^2 + 1
325 is the next number in the sequence and is also the answer.
Draw a
box-and-whisker plot for the set of data.
27, 35, 44, 51, 52, 54, 56, 69, 69, 79, 80, 100, 100
a.
b.
C.
d.
0510 15 20 25 30 35 40 45 50 55 60 65 70
05 10 15 20 25 30 35 40
45 50-55
HHH
05
#2
0 5 10 15 20 25 30 35 40 45 50 55
60 65 70
60 65 70
10 15 20 25 30 35 40 45 50 55 60 65 70
75 80 85 90
75 80 85 90
75
75
95 100
80 85 90
95 100
80 85 90 95 100
95 100
Answers
Answer: B
Step-by-step explanation:
The maximum is 100 and the minimum is 27.
The only option that shows this is B.Consider the following hypothesis test: 0 : 12 a : 12 HH A sample of 25 provided a sample mean x = 14 and a sample standard deviation s = 4.32. a. Compute the value of the test statistic. b. Use the t distribution table to compute a range for the p-value. c. At a = 0.05, what is your conclusion? d. What is the rejection rule using the critical value? What is your conclusion?
Answers
a) The test statistic is given as t = [tex]\dfrac {14-12}{\dfrac{4.32}{\sqrt25}}}[/tex]= 2.315
b) The pa value will be P = P( t₂₄ > 2.315 ) = 0.015
c) If we compare the p-value and the significance level is given we see that so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 12 at 1% of significance
What is a null hypothesis?In null hypotheses, there is no relationship between the two phenomena under the assumption that it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.
X= represents the sample mean
s = represent the sample standard deviation
n = 25 sample size
[tex]\mu_o[/tex] = 12 represent the value that we want to test
[tex]\alpha[/tex] = 0.05 represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
[tex]p_v[/tex] represent the p-value for the test (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the mean is higher than 12, the system of hypothesis would be:
Null hypothesis: ≤ 12
Alternative hypothesis: > 12
If we analyze the size for the sample is > 30 but we don't know the population deviation so is better to apply a t-test to compare the actual mean to the reference value, and the statistic is given by:
[tex]t=\dfrac{X-\mu_o}{\dfrac{\sigma}{\sqrt{n}}}[/tex]
t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to a specified value".
Calculate the statistic
We can replace in formula (1) the info given like this:
[tex]\dfrac {14-12}{\dfrac{4.32}{\sqrt25}}}[/tex]= 2.315
P-value:-
The first step is calculate the degrees of freedom, on this case:
df = n - 1 =25 - 1 = 2
Since is a one side right tailed test the p value would be:
[tex]p_v[/tex] = P( t₂₄ > 2.315 ) = 0.015
Conclusion
If we compare the p-value and the significance level is given [tex]\alpha[/tex]= 0.05 we see that [tex]p_v < \alpha[/tex] so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 12 at 1% of significance.
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Vikram drinks 6/10 of a litter of water after gym class and 33/100 of a litter of juice with his lunch Vikram says he drank a total of 39 hundredths of a litter. use the drop-down menus to explain why Vikram is not correct?
Answers
Answer: Vikram is not incorrect because he found the sum by adding the numerators and denominators
Step-by-step explanation: The first blank doesn't have a word so I answer it
3. College Students (10 points)
In Fall 2019, there were approximately 16.6 million undergraduate students in degre
granting postsecondary institutions. This represents a 5% decrease from the Fall 200
number of students. How many undergraduate students were there in 2009?
Source: https://nces.ed.gov/fastfacts
Answers
The number of students is 33.2 million
What is percentage decrease?Percent decrease refers to the percent change in the value when it is decreased over a period of time. Percentage decrease expresses the decrease in the given value with respect to its initial value in the form of a percentage.
Given:
In 2019= 16.6 million
% decrease = 5%
So,
% decrease= x - 16.6/ x
5% = x- 16.6/x
0.05= (x-16.6)/x
0.05x = x-16.6
-0.05 x = -16.6
x= 16.6/0.05
x= 16600000/0.05
x= 332,000,000
x= 33.2 million.
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A condominium is taxed based on its $78,584 value. The tax rate is $3.49 for every $100 of value. If the tax is paid before March 1, 4%
of the normal tax is given as a discount. How much tax is paid if the condominium owner takes advantage of the discount?
Answers
The tax paid by the condominium owner is $2,632.88.
What is the tax paid?
Tax is a compulsory levy that is paid to the government. The type of tax that is paid by the condominium owner is known as property tax.
Tax paid = (78,584 / 100) x $3.49 x (1 - 0.04) = $2,632.88.
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For the graph y = 12 find the slope of a line that is perpendicular to it and the slope of a line parallel to it. Explaln your
answer with two or more sentences.
Answers
The line y = 12 has a slope of 0 because it is a horizontal line, meaning that for any change in x, there is no change in y. Ths means the slope of a line parallel to it would be 0 (since parallel lines have the same slope), and the slope of a line perpendicular to it would be undefined (since perpendicular lines have slopes that are negative reciprocals of each other, and when you divide by 0, you get an undefined result).
The graphs below have the same shapes. What is the equation for the red graph?
Answers
The equation of the red graphed function is: g(x) = 1 - x².
How to Find the Equation of a Graphed Function?Given the graph shown in the attachment below, the graphed function heads downwards, and the x - axis is intercepted at ( 1, 0 ) and (-1,0).
Thus, the x-intercepts, which is the zeros of the function, are: 1 and -1.
So, g(x) = (x + 1)(x -1)
Expand:
g(x) = 1 - x²
The equation of the red graph is: g(x) = 1 - x².
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The table shows the height of water in a pool as it is being filled. A table showing Height of Water in a Pool with two columns and six rows. The first column, Time in minutes, has the entries, 2, 4, 6, 8, 10. The second column, Height in inches, has the entries, 8, 12, 16, 20, 24. The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool? The height of the water increases 2 inches per minute. The height of the water decreases 2 inches per minute. The height of the water was 2 inches before any water was added. The height of the water will be 2 inches when the pool is filled. help me
Answers
Answer:
The height of the water increases 2 inches per minute.
Step-by-step explanation:
the slope is always the ratio of
y coordinate change / x coordinate change
in our case, x is the time (minutes), and y is the water height (inches).
we see, the longer the pool get filled, the higher the water gets. logical, right ?
by checking the data points we see :
with every 2 minutes passing the water height increases by 4 inches.
so, the slope is +4/+2 = 2/1 = 2
and that ratio tells us now the increase of the water height with every fraction or multiple of the measured 2-minute interval.
every 2 minutes 4 inches more.
so, e.g. every 3×2 = 6 minutes we get 3×4 = 12 inches more.
and - every 1/2 × 2 = 1 minute more we get 1/2 × 4 = 2 inches more.
s x – 5 a factor of the function f(x) = x3 – 5x2 + 7x – 35? Use the Remainder Theorem to justify your answer.
Answers
By using the remainder theorem we found that ( x - 5 ) is the factor of function f(x) = x³ – 5x² + 7x – 35.
What is factorization?Factorization is defined as splitting the polynomial into its most simplified form. This factor satisfies the polynomials from which it is extracted.
The factorization by using the Remainder theorem.
x - 5 ) x³ – 5x² + 7x – 35.( x ² + 7
x³ - 5x²
______________
00 7x - 35
7x - 35
-------------------------
00
Here the function is completely divided by the factor x - 5 therefore
by using the remainder theorem we found that ( x - 5 ) is the factor of function f(x) = x³ – 5x² + 7x – 35.
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There is a 45% chance of snow on Friday. Thereis a 78% chance that I will go sledding if it snows. What is the probability that I will go
sledding?
Answers
Answer:
35.1% chance of going sledding
Step-by-step explanation:
45% chance of snow on Friday
Convert percentage to decimal form (divide by 100)
45% = 0.45
78% chance of sledding if it snows
Convert percentage to decimal form (divide by 100) to multiply
78% = 0.78
Multiply to find the probability of both occurring
0.78 * 0.45 = 0.351
Convert back into a percentage (multiply by 100)
0.351 = 35.1% chance of sledding
Let me know if you have any questions!
If ( 3 y − 9 ) 2 + 7 = 43 , then what is(are) the values of y?
Answers
Answer:
y = 5 and y = 1
Step-by-step explanation:
[tex]\textsc {Subtract 7 from each side :}[/tex]
⇒ (3y - 2)² + 7 - 7 = 43 - 7
⇒ (3y - 2)² = 36
[tex]\textsc {take the square root on each side :}[/tex]
⇒ √(3y - 9)² = √36
⇒ 3y - 9 = ±6
[tex]\textsc {When equal to +6, add 9 on each side :}[/tex]
⇒ 3y - 9 + 9 = 6 + 9
⇒ 3y = 15
[tex]\textsc {Divide by 3 on each side :}[/tex]
⇒ 3y/3 = 15/3
⇒ y = 5
[tex]\textsc {When equal to -6, add 9 on each side :}[/tex]
⇒ 3y - 9 + 9 = -6 + 9
⇒ 3y = 3
[tex]\textsc {Divide by 3 on each side :}[/tex]
⇒ 3y/3 = 3/3
⇒ y = 1
PLEASE GIVE STEP BY STEP EXPLANATION !!
The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x): A graph with two linear functions; f of x passes through 0, negative 1 and 5, 14, and g of x passes through negative 6, negative 1 and negative 1, 14. Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points) Part B: Solve for k in each type of transformation. (4 points) Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)
Answers
The two types of transformations that can be used to transform f(x) to g(x). g (x) = f(x) + 16 and g (x) = f(x + 8)
ABC has vertices at A (12, 8), B (4, 8)
What is the equation about?f(x)= 0, -1 ,5,14
g(x)= -6, -1, -1, 14
g(x)=f(x)+k
-6= 0+k
k= -6
A) g (x) = f(x) + 16 and
g(x) = f(x + 8)
B) g(x)=f(x)+k
-1= -1+ k
k= -1+1=0
g(x)=f(x)+k
-1= 5+k
k= -1-5=-6
g(x)=f(x)+k
14= 14+k
k= 0
k= -6,0,-6,0
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Triangle P R Q is shown. Angle R P Q is 39 degrees. The length of P R is 6, the length of R Q is p, and the length of P Q is 8.
Law of cosines: a2 = b2 + c2 – 2bccos(A)
Which equation correctly uses the law of cosines to solve for the missing side length of TrianglePQR?
62 = p2 + 82 – 2(p)(8)cos(39°)
p2 = 62 + 82 – 2(6)(8)cos(39°)
82 = 62 + p2 – 2(6)(p)cos(39°)
p2 = 62 + 62 – 2(6)(6)cos(39°)
Answers
According to law of cosines the length of RQ can be written as [tex]p^{2} =6^{2} +8^{2} -2*6*8cos(39)[/tex].
Given the length PR is 6 , the length of RQ is p, the length of PQ is 8 and the angle RPQ is 39 degrees.
A length of the triangle can be written as according to law of cosines if sides are given and one angle is [tex]a^{2} =b^{2} +c^{2} -2bccos(A)[/tex]
We have to just put the values in the above equation.
as [tex]p^{2} =6^{2} +8^{2} -2*6*8cos(39)[/tex].
p is the side opposite to angle given , the length of other sides are 6 and 8 and angle is 39 degrees.
Hence the side can be written as according to law of cosines if the angle is 39 degrees is as [tex]p^{2} =6^{2} +8^{2} -2*6*8cos(39)[/tex].
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Answer: OPTION B
Step-by-step explanation:
edge22
Another day, another math problem 2
Answers
Answer:
-7
Step-by-step explanation:
you can use power rule of derivatives for that.
4x+7-(x+6)=68
Solve.
Answers
[tex]4x + 7 - (x + 6) = 68 \\ \\ 4x + 7 - x - 6 = 68 \\ \\ 3x + 1 = 68 \\ \\ 3x = 68 - 1 \\ \\ 3x = 67 \\ \\ x = \frac{67}{3} \\ \\ x = 22.3[/tex]
The value of x is 67/3 or 22.3 .
Hi!
__________________________________________________________
[tex]\rightsquigarrow\circ\boldsymbol{Answer}\circ\leftharpoonup[/tex]
x=
[tex]\rightsquigarrow\circ\boldsymbol{Explanation}\circ\leftharpoonup[/tex]
First let's distribute the minus sign.
[tex]\twoheadrightarrow\sf 4x+7-x-6=68[/tex]
[tex]\bullet[/tex] Add 6 to both sides
[tex]\twoheadrightarrow\sf 4x+7-x=74[/tex]
[tex]\bullet[/tex] Subtract the x's
[tex]\twoheadrightarrow\sf 3x+7=74[/tex]
[tex]\bullet[/tex] Subtract 7 from both sides
[tex]\twoheadrightarrow\sf3x=67[/tex]
[tex]\bullet[/tex] Divide both sides by 3
[tex]\twoheadrightarrow\sf x=\cfrac{67}{3}[/tex]
[tex]\bullet[/tex] Great job! We solved for the variable
--
Hope that this helped! Best wishes.
[tex]\textsl{Reach far. Aim high. Dream big.}\\\boldsymbol{-Greetings!-}[/tex]
--
What is the solution to the following equation?
3( x - 4 ) - 5 = x - 3
A. x = 8
B. x = 3
C. x = 12
D. x = 7
Answers
Answer:
x = 7
Step-by-step explanation:
3(x - 4) - 5 = x - 3
3x - 12 - 5 = x - 3
2x = -3 + 12 + 5
2x = 14
x = 7
If AABC = ADEF, which congruences are true by CPCTC? Check all that
apply.
Answers
Answer: it's A, B, and D
Step-by-step explanation:
A fingernail grows about 0.1 mm, day. How much does a fingermail grow in 45 days ? 90 days?
Answers
Answer:
- In 45 days = 4,5mm ; In 90 days = 9mm
Step-by-step explanation:
in 45 days = 0,1 * 45 = 4,5 mm ; in 90 days = 0,1 * 90 = 9mm
What is the solution to this system of equations y=3x-4 4y=12x-4 a no solution b (0,4) C Infinite solutions
Answers
Answer:
C
Step-by-step explanation:
y = 3x - 4
4y = 12x - 4
divide the bottom equation by 4
y = 3x - 4
y = 3x - 1
y = -3
3x - 1 = -3
3x = -2
x = -2/3
(-2/3, -3) is the answer. by this logic, there is a splution so can't be a, the answer is not (0, 4) so not b so it must be c
How do i find the domain of F and write in interval notation??? I completely confused
Answers
Answer:
898
Step-by-step explanation:
898999
What must be added to -31 to get 12
Answers
Answer:
43
Step-by-step explanation:
31+12=43
Therefore adding 43 to -31 should give the answer 12.
Hii!
____________________________________________________________
Answer:
43
Step-by-step explanation:
We can find an answer to this question by setting up an equation.
-31+x=12
x is the unknown amount we should add to -31 to obtain 12.
Now, to solve it for the variable, x, we need to add 31 to both sides.
Upon doing this we obtain.
x=43
∴, 43 should be added to -31 to get 12
--
Hope that this helped! Best wishes.
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3xy - ² + 4x for x = -2, y = - and = 6?
Answers
Answer:
See below
Step-by-step explanation:
Not sure what you are asking....do you want to know what y is when x = -2 and the equation = 6 ?
3 xy^2 + 4x = 6 or is that 3 xy^(-2) + 4x = 6
Could use some serious editing of your question if you are able ....
solve the following inequality ( algebra 1 )
Answers
Answer:
m<1 OR m>7
Step-by-step explanation:
3m<5-2
3m<3
m<1
m+1>8
m>8-1
m>7
Answer:
m<1 or m>7
Step-by-step explanation:
3m + 2 < 5
3m + 2-2 < 5-2
3m < 3
[tex]\frac{3m}{3}[/tex] < [tex]\frac{3}{3}[/tex]
m < 1
[tex]\frac{m+1}{2}[/tex] > 4
[tex]\frac{m+1}{2}[/tex]*2 > 4*2
m +1 > 8
m +1 -1 > 8 -1
m > 7
A new element with atomic number 116 was discovered in 2000. In 2012 it was named livermorium, Lv. Although Lv is radioactive and short-lived, its chemical properties and reactivity should follow periodic trends.
a. Determine the electron configuration for the valence electrons of Lv in the ground state. (2 pts)
Answers
Answer:
7s²7p⁴
Step-by-step explanation:
Livermorium is located in the seventh period and sixteenth column of the periodic table. The noble gas configuration for livermorium is [Rn]7s²5f¹⁴6d¹⁰7p⁴. The valence electrons are the ones in the orbitals with the highest quantum number (coefficient). Remember, there can be up to 8 valence electrons at one time. Therefore, the valence electron configuration is 7s²7p⁴.
Let's check
116 is the atomic noElectronic configuration
1s²2s²2p⁶3s²3p⁶4s²3d¹⁰4p⁶5s²4d¹⁰5p⁶4f¹⁴6s²5d¹⁰6p⁶7s²5f¹⁴6d¹⁰7p⁴Valence electrons
7s²7p⁴Margo borrows $600, agreeing to pay it back with 7% annual interest after 8 months. How much interest will she pay?
Answers
The interest which has to be paid is $28.
Simple Interest amount can be estimated by the product of principal amount, rate of interest, and time in year.
Simple Interest= S.I. =p*t*r/100
where p is the principal amount,
r: interest rate (%)
t: the time (in year).
Here, given,
Margo has taken borrowed $600 with an annual interest of 7% which has to be paid within 8 months.
principal amount P = $600
rate of interest= r=7%
time=t=8 months= 2/3 year
using the above-mentioned formula,
Simple Interest S.I.= p*t*r/100= (600*(2/3)*7)/100= $28
Therefore the interest which has to be paid is $28.
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a farmer uses 1/6 of his land to plant pineapples, 5/9 to plant durians and the remaining 48.5 acres to plant vegetables. calculate the area of land used to plant pineapples and durians
Answers
Step-by-step explanation:
x = total area of land
x - 1/6 × x - 5/9 × x = 48.5 | multiply both sides by 6
6x - x - 30/9 × x = 291
5x - 30/9 × x = 291 | multitude both sides by 9
45x - 30x = 2,619
15x = 2,619
x = 174.6 acres
pineapples were planted on 174.6 × 1/6 = 29.1 acres.
durians were planted on 174.6 × 5/9 = 97 acres.
A cylindrical can has a height of 19 cm and a radius of 6 cm. The volume of the cylindrical can is decreasing at a rate of 563 cubic cm per second, with the height being held constant. What is the rate of change of the radius, in cm per second, when the radius is 6 cm?
Round your answer to the nearest hundredth.
Answers
The rate of change of radius at radius 6cm is 0.79 cm/sec.
The rate of change of a function is simply the derivative of the function with respect to the changing parameter in the function i.e. variable in the function.
So for calculating the rate of change of radius, we calculate the rate of volume change as volume is the function of radius.
As we know volume of the cylinder is given by V=πr²h
where r is the radius and h is the height of the cyclinder.
Given that rate of change of volume = 563 cm/sec
⇒ dV/dt =563 cm/sec
⇒ d(πr²h)/dt =563
taking πh outside the derivative as π and h is constant term
⇒ πh dr²/dt =563
⇒ πh (dr²/dr)(dr/dt)= 563 (applying chain rule dy/dx = (dy/du)(du/dx))
⇒ πh(2r)(dr/dt) =563
⇒dr/dt= 563/(2πhr)
given height of the cylinder h= 19cm
rate of change of radius at radius r =6cm= dr/dt= 563/(2πhr)= 563/(2*π*19*6)= 0.79 cm/sec
Therefore rate of change of radius at radius 6cm is 0.79 cm/sec.
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What would the slope of a line be if it were parallel to the line: y = 1 / 3x - 5 ?
Answers
Answer:
Parallel lines have the same slope, so the slope would be 1/3. It would need a different y intercept though or it would be the same line.
