The number of times Damian would pick a vanilla-flavored candy from the jar is 8 times.
How many times would Damian pick a vanilla-flavored candy?Probability determines the odds that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The number of times Damian would pick a vanilla-flavored candy = number of vanilla flavored candy / total number of candies
20 / 125 = 0.16
0.16 x 50 = 8 times
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ABCD is a rhombus. The coordinates of A are (5, 11) The equation of the diagonal DB is y = 3x + 5 The equation of the diagonal AC can be written in the form y = mx + Ċ where m and c are integers. Work out the value of m and the value of c.
Applying the definition of the diagonals of a rhombus, the value of m is -3, and the value of c is 26.
What are the Diagonals of a Rhombus?The diagonals of a rhombus are perpendicular to each other and therefore have slopes that are negative reciprocals.
Equation of diagonal DB is, y = 1/3x + 5.
Slope (m) of DB is 1/3.
Therefore, the slope (m) of diagonal AC would be, -3.
To find the equation of diagonal AC, substitute m = -3 and (5, 11) = (a, b) into y - b = m(x - a)
y - 11 = -3(x - 5)
y - 11 = -3x + 15
y = -3x + 15 + 11
y = -3x + 26
m = -3; c = 26
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Can someone help with this??
Answer:
2x+1
Step-by-step explanation:
The fuction of g(x) is 2x
And the function of f(x) is x+1
So we plug in g(x) in f(x)
2x would be plugged in x in x+1 then we add the 1
(2x)+1
Martin tracked the amount of water he drank for an entire week. The bar graph shown here displays the information about his water consumption.
What is the mode of the daily data?
A) 8
B) 10
C) 12
D) 14
Answer:
c) 12
Step-by-step explanation:
since on the bar graph 12 occurs the most that is the mode so hope this helps!
Carrie borrowed money from her sister Melissa. She has been paying her back $80 a month for the past 5 months. If this is 32% of the money that she borrowed, how much money did she borrow?
The money which is borrowed by Carrie to her sister Melissa which she has been paying her back $80 a month is $1250.
What is percentage of a number?Percentage of a number is the part of the whole number which is expressed in the fraction of hundredth. It is represented with "%" symbol.
Carrie borrowed money from her sister, whose name is Melissa. She has been paying her back $80 a month for the past 5 months. Thus, the total amount she has returned is,
x=$80×5
x=$400
Now, the $400 is 32% of the money that she borrowed. Thus, the amount of money which she borrowed is,
[tex]\text{Money}=\dfrac{400}{32}\times100\\\text{Money}=1250[/tex]
Thus, the money which is borrowed by Carrie to her sister Melissa which she has been paying her back $80 a month is $1250.
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A group of friends were working on a student film. They spent $481 on costumes, which was 37% of their total budget. What was the total budget for their student film?
The total budget for the student film was $1300 and $481 was spent on costumes
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Let x represent the total budget for the student film.
The student spent $481 on costumes, which was 37% of their total budget, hence:
37% of x = 481
0.37x = 481
x = $1300
The total budget for the student film was $1300 and $481 was spent on costumes
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8.000+900+70+6 9.000+900+90+6 2.000+60+4 10.000+5.000+200+1 10.000+700+60+3 10.000+3.000+400+7 10.000+2.000+800+20+5 10.000+4.000+400+50+4 10.000+1.000+300+10+1
Answer:
8976 9996 2064 15201 10763 13407 12825 14454 11311
A marble is randomly selected from a bag containing 3 red marbles, 3 blue marbles, and 3 green marbles. What is the probability that the selected marble is green?
Answer:
1/3 of a chance
Step-by-step explanation:
3 red, 3 blue, 3 green
that all adds to 9 marbles and there are 3 out of 9 marbles that are green.
the probability is 3/9 or 1/3
Pls solve question 8c, i will mark branliest
Answer:
a = -1
Step-by-step explanation:
first you make the x 0 and the y 0
0 = (0 - 1)^2 + a
0 = (-1)^2 + a
then you deal with the exponent
0 = 1 + a
lastly you subtract everything by 1
-1 = a
a = -1
that is your answer
3. Solve the system:
y = x2 - 4x + 6
y = x + 2
Order the following numbers from least to greatest.
Help please
Answer:
[tex]2\frac{1}{3}[/tex], [tex]\sqrt{7}[/tex], [tex]\sqrt[3]{27}[/tex]
Step-by-step explanation:
If you want to make ordering these three numbers to be easier, it's best to find their exact or approximate values. [tex]\sqrt[3]{27}[/tex] is equivalent to 3, and [tex]\sqrt{7}[/tex] is less than [tex]\sqrt{9}[/tex] - which is 3 - so you know that [tex]\sqrt[3]{27}[/tex] is going to be the greatest number out of the set. Since [tex]\sqrt{7}[/tex] is approximately equal to 2.65, and [tex]2\frac{1}{3}[/tex] is approximately equal to 2.33, you can conclude that the correct order from least to greatest is going to be [tex]2\frac{1}{3}[/tex], [tex]\sqrt{7}[/tex], [tex]\sqrt[3]{27}[/tex].
Check your Understanding Direction: A. Solve each problem. The letter with the correct answer will identify the material blasted into the air by an eruption. It includes solid lava and volcanic bombs T A 3 375 cm³ 7 cm 3240 cm³ 8cm P- The volume of a cube is 343 cm³. What is the length of the edge? H - A sewing box is 18 cm by 15 m by 12 cm. What is the volume? E - A cubical - shaped box has an edge of 15 cm. Find its volume. R - A rectangular box has a volume of 864 cm³.If the length is 12 cm and the width is 9 cm, how long is the box?
According to the results of each operation, it can be inferred that the word that is formed with the initial of each problem is TEPHRA.
How to calculate the area of a rectangular prism?To calculate the area of a rectangular prism we must use the following formula:
V = area of the base of the prism × height of the prismWe can use this formula to solve several of the problems posed as shown below:
problem E
Volume = (15cm × 15cm) × 15cm
Volume = 225 × 15cm
Volume = 3,375 cm³
Problem H
Volume = (15cm × 18cm) × 12cm
Volume = 270 × 12cm
Volume = 3,240 cm³
Problem P
Volume = (7cm × 7cm) × 7cm
Volume = 49 × 7cm
Volume = 343 cm³
Problem R
Volume = (9cm × 12cm) × 8cm
Volume = 108 × 8cm
Volume = 864 cm³
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Charlotte recorded the number of minutes she spent exercising in the past ten days: 8, 10, 5, 2, 7, 1, 11, 3, 5, 6. Find the median of the data.
A bag contains 10 marbles: 6 are green, 2 are red, and 2 are blue. Melissa chooses a marble at random, and without putting it back, chooses another one at
random. What is the probability that both marbles she chooses are green? Write your answer as a fraction in simplest form.
Answer:
1/3
Step-by-step explanation:
the probability of the first is 6/10 or simplified 3/5
she then repeats its without putting the marble back 5/9 (as she has to remove a green marble)
to find the odds multiply 5/9 and 3/5 you get 15/45 reduced to 1/3, so the probability is 1/3
William ran 2 2/3 laps around a track in of an hour. If William keeps the 4/15 same pace, how many laps could he run in 1 hour?
Answer: Trust me if ur using acellus, the answer is 10
Step-by-step explanation: trust me, thank me later
William can run 10 laps in one hour with 4/15 same pace.
We have,
William ran 2 2/3 laps around a track in of an hour.
William keeps the 4/15 same pace.
So, William runs
= 2 2/3 ÷ (4/15)
= (8/3)÷ (4/15)
= 8/3 x 15/4
= 2 x 5
= 10 laps.
Thus, William runs 10 laps.
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Evaluate:
i. [ 81 x (-16)] + [ 6x 81]
ii. 325 x 5 x 2 - 624 x 10
Please help me quick
PLEASE HELP ASAP
Tina conducted a survey to find the favorite weekend activity of the people in her state. She asked 10 of her neighbors what their favorite weekend activity is. Tina concludes that boating is the favorite weekend activity of the people in her state because 70% of her neighbors like to go boating on weekends.
Use at least two sentences to explain why Tina's sample may not be valid. Make sure to use facts to support your answer.
EXPLAIN the difference between theoretical and experimental probability. Use an example.
Step-by-step explanation:
Theoretical probability describes how likely an event is to occur. We know that a coin is equally likely to land heads or tails, so the theoretical probability of getting heads is 1/2. Experimental probability describes how frequently an event actually occurred in an experiment.
EXAMPLE-
Theoretical probability:
For instance, since a flipped coin has two sides and each side is equally likely to land up, the theoretical probability of landing heads (or tails) is exactly 1 out of 2.
Experimental probability:-
For example, the probability of getting a head if you flip a coin is ½, since only 2 things could happen (a head or a tail) and each one has an equal chance of occurring.
mark me as brainliest if possible. :)
Given s = 10 and h = 15. Find the total surface area of the square prism.
Answer:
150
Step-by-step explanation:
h = hight
s = sides
surface = 10 x 15
surface = 150
(V = 10 x 10 x 15
(V = 100 x 15)
(V = 1500)
(Base area = B)
(B = Lenght x Width)
(B = 10 x 10)
(B = 100)
What is 18 divided by 14?
I want it to be solved by hand - not Calculator.
If Correct I'll give Brainiest.
Answer:
1.28571
Step-by-step explanation:
is the answer
5/9 x 4
PLS SHOW YOUR WORK IT HELPS ME A LOT!! :) TY
Answer:
20 over 36
You cant put into mixed fraction
Answer: 2 2/9
Step-by-step explanation:
5/9 * 4 = 20/9 = 2 2/9
find the length of each side of an equilateral triangle if the height is 10 in.
Answer:
20√3/3 or approx. 11.55 in.
Step-by-step explanation:
Draw an equilateral triangle with one height to one side.
The height divides the triangle into two congruent right triangles.
At the vertex where the height is, each angle of the small triangles is 30 deg.
The other acute angle of the right triangle measures 60 degrees.
The two right triangles are 30-60-90 right triangles.
The ratio of the lengths of the sides of a 30-60-90 right triangle is
1 : √3 : 2
The height is opposite the 60-deg angle, so it corresponds to the side with length √3 in the ratio.
The long leg measures 10.
The short leg measures 10/√3 = 10√3/3
The hypotenuse measures 20√3/3
The side of the equilateral triangle is the hypotenuse of each small right triangle.
Answer: 20√3/3 or approx. 11.55 in.
Richard Henry takes out $25,000 of ordinary whole life when he is forty-three years old.
a, annual premium
b. semiannual premium
The ordinary whole life will mature after 57 years. Then the annual premium (AP) and the semiannual premium will be $ 438.60 and $219.30.
What is an ordinary whole life?A whole life insurance policy in which the premiums are paid for the duration of the insured's life. The contract somehow doesn't mature until the designated insured achieves the age of 100 or dies, whatever comes first.
Richard Henry takes out $25,000 of his ordinary whole life when he is forty-three years old.
The ordinary whole life will mature after 57 years.
Then the annual premium (AP) will be
[tex]\rm AP = \dfrac{\$ 2 5000}{57}\\\\AP =\$ 438.60[/tex]
Then the semiannual premium (SAP) will be
[tex]\rm SAP = \dfrac{\$ 2 5000}{57 \times 2}\\\\SAP =\$ 219.30[/tex]
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An answer and explanation on how to solve this would be most appreciated.
Answer:
cos theta = 5/13
Step-by-step explanation:
sin theta = opp side / hypotenuse
opp side = 12 and hypotenuse = 13
Using the pythgorean theorem
opp ^2 + adj ^2 = hypotenuse ^2
12 ^2 + adj^2 = 13^2
144 + adj ^2 = 169
adj^2 = 169-144
adj^2 = 25
Taking the square root of each side
adj = 5
cos theta = adj / hypotenuse
cos theta = 5/13
You want to obtain a sample to estimate a population proportion. at this point in time, you have no reasonable estimate for the population proportion. you would like to be 95% confident that you esimate is within 1% of the true population proportion. how large of sample size is required?
The sample size is, 9604 if you want to obtain a sample to estimate a population proportion at this point in time, you have no reasonable estimate for the population proportion.
What is the margin of error(MOE)?It is defined as an error that gives an idea about the percentage of errors that exist in the real statistical data.
As we know, the sample size can be evaluated using the expression:
[tex]\rm ME = Z_c\sqrt{\dfrac{pq}{n}}[/tex]
or
[tex]\rm n = \dfrac{Z^2}{ME^2}(pq)[/tex]
Here ME = 1% = 0.01
p = 0.5, q = 0.5
Z at α 0.05 (because 95% confident)
= 1.960
[tex]\rm n = \dfrac{1.960^2}{0.01^2}(0.5\times0.5)[/tex]
n = 9604
Thus, the sample size is, 9604 if you want to obtain a sample to estimate a population proportion at this point in time, you have no reasonable estimate for the population proportion.
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Please help with these question
HEL ASAP
Solve for x.
2(3x + 4) = 7x – 2x + 1
Answer:
x= -7
Step-by-step explanation:
[tex]~~~~~~2(3x+4) = 7x-2x+1\\\\\implies 6x +8 = 5x+1\\\\\implies 6x -5x = 1-8\\\\\implies x = -7[/tex]
2x - 6 - 4x + 12 = 18 help
Answer:
Solve for X
Step-by-step explanation:
X = 6
Answer:
If you're trying to find x, it is [tex]\sf -6[/tex]
Divide each side by factors that do not contain the variable.
Which equation is the axis of symmetry of a quadratic function in standard form?
[tex] x = \frac{b}{2a} [/tex]
for example let's say we have 2x²+4x+3
Step-by-step explanation:
4 is the co-efficient of x therefore you substitute 4 in terms of b. 2 is the co-efficient of x² therefore you substitute 2 in terms of a.
[tex] x = \frac{4}{2(2)} [/tex]you will find your x value then you will substitute x from the original formula to get your y value.
What is a volume of a rectangular pyramid with a height of 15 cm, length of 10 cm and width of 11 cm
Answer:
Right rectangular pyramid
Solve for volume
V=550cm³
Base length
10cm
w Base width
11cm
Pyramid height
15cm
Step-by-step explanation:
Hope it helps.
A given line has the equation 10x 2y=−2 . what is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12)? y=−5x 12 5x y=12 y−12=5(x−0) 5x y=−1
The equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12) is y = -5x + 1
Equation of a lineA line is the distance between two points
Given the equation of a line expressed as 10x + 2y = -2. Determine the slope
2y = -10x -2
y = -5x - 1
Slope of the line is -5
The equation of a line in point-slope form is y - y1 = m(x-x1)
Substitute the point and the slope of the parallel line
y - 12 = -5(x - 0)
y - 12 = -5x
y = -5x + 12
Hence the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12) is y = -5x + 12
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Answer:
its d
Step-by-step explanation:
i got it