Given:
Total number of marbles = 15
Probability of randomly selecting a green marble = [tex]\dfrac{1}{5}[/tex].
Probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble = [tex]\dfrac{2}{25}[/tex].
To find:
The number of blue marbles.
Solution:
Let the number of blue marbles be x.
[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
[tex]P(Blue)=\dfrac{x}{15}[/tex]
It is given that,
[tex]P(Green)=\dfrac{1}{5}[/tex]
Probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble is [tex]\dfrac{2}{25}[/tex]. So,
[tex]P(Green)\times P(Blue)=\dfrac{2}{25}[/tex]
[tex]\dfrac{1}{5}\times \dfrac{x}{15}=\dfrac{2}{25}[/tex]
[tex]\dfrac{x}{75}=\dfrac{2}{25}[/tex]
Multiply both sides by 75.
[tex]\dfrac{x}{75}\times 75=\dfrac{2}{25}\times 75[/tex]
[tex]x=2\times 3[/tex]
[tex]x=6[/tex]
Therefore, the number of blue marbles in the bag is 6.
Chris is cutting a roll of cookie dough into pieces that are 1/2 inch thick. If the roll is
10 1/2 inches long, how many pieces can he make?
Answer:
5.25
Step-by-step explanation:
△PQR is rotated 180° about the origin. What is the coordinate for Q' ?
(3, 2)
(2, -3)
(-3, 2)
(-2, 3)
Part: 2
△PQR is reflected across the y-axis. What is the coordinate for R' ?
(-3, -4)
(-4, 3)
(4, -3)
(3, 4)
Answer:
Part 1:
Q’ = (2, -3)
Part 2:
R’ = (-3, -4)
Hope this helps!
how would a one-fifth in numbers be?
According to.the order of operation, which of the following operations should be completed first in the following expression 2(5-3)^3+6^2
Answer:
Step-by-step explanation:
PEDMAS
P - Parenthesis
E - Exponents
D - Division
M - Multiplication
A - Addition
So, 2(5-3)^3+6^2
5 - 3 should be completed first as it is inside parenthesis
2(5-3)^3+6^2 = 2 *2^3 + 6^2
= 2 * 8 + 36 {exponents}
= 16 + 36 {Multiplication}
= 52
Can a line be measured?
Answer:
yeah .It can be measured
Write 12 2/3% as a fraction in simplest form
Answer:
1/4
What is 3/12 Simplified? - 1/4 is the simplified fraction for 3/12.
Step-by-step explanation:
4(2x-3)=52
Solve please sends fast
Answer:
[tex]\boxed {x = 8}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]4(2x - 3) = 52[/tex]
-Divide both sides by [tex]4[/tex]:
[tex]2x - 3 = \frac{54}{4}[/tex]
[tex]2x - 3 = 13[/tex]
-Add both sides by [tex]3[/tex]:
[tex]2x - 3 + 3 = 13 + 3[/tex]
[tex]2x = 16[/tex]
-Then, divide both sides by [tex]2[/tex]:
[tex]\frac{2x}{2} = \frac{16}{2}[/tex]
[tex]\boxed {x = 8}[/tex]
Therefore, the value of [tex]x[/tex] is [tex]8[/tex].
A triangle has sides with lengths of 7 millimeters, 8 millimeters, and 10 millimeters. Is it a
right triangle?
Answer:
Depends if you are averaging C or not.
Step-by-step explanation:
Use the pythagorean theorem to solve this.
c = √a^2 + b^2
A and B should be two of your sides and C should equal your third side. If C is incorrect, it is not a right triangle. I plugged in 7 for A and 8 for B. The answer was about 10.63. If you are supposed to round C then yes, it is a right triangle. If you aren't supposed to round C (probably not) then no, It isn't a right triangle.
5. Do this without using a calculator
Calculate 39 × 63 + 39 × 37
A. 3,510. B. 3,900. C. 4,290. D. 97,812
Answer:
3900
Step-by-step explanation:
Not really sure how to explain this one.
is y=5x proportional or non proprtional.
Answer:
Yes, y=5x is proportional. Hope this helps!
1.
p: you pass the class
q: you go to the next grade
p -> ~q:_______________________________
~p->~q:_______________________________
Answer:
P is you pass the class, so it's the hypothesis in the conditional. And Q is the conclusion, which ic you got to the next grade.
Step-by-step explanation:
In order to got to the next grade, you need to pass the class.
or
If you pass the class, you go to the next grade.
Determining the Value of the Slope from a Table
A 2-column table with 5 rows. Column 1 is labeled x with entries 1000, 1000, 1000, 1000, 1000. Column 2 is labeled y with entries 20, 23, 26, 29, 32.
What can you conclude about the slope of the values in the table? Check all that apply.
The slope is 3.
The slope is 0.
The slope is undefined.
The graph will be a horizontal line.
The graph will be a vertical line.
The graph will have a line with a positive slope.
Answer:
3 and 5
Step-by-step explanation:
Hope this helped :)
I did the same assignment and it was right!
Answer:
here is the answer
Step-by-step explanation:
Solve the simultaneous equations.
You must show all your working.
2x+1/2y =13 ---its 1 devided by 2
3x +2y = 17
Answer:
I hope it solve the problem
What is the measure of Z?
what's the question ???
helpp ill mark u as brainlist
Answer:
Proportional graph
Step-by-step explanation:
It is proportional because as the x increases, the y also increases. It maintains the same rate of change.
Answer:
non pro becuase it dont pass the origin
Step-by-step explanation:
Factor 125q^6 − r^6s^3.
Answer:
(5 q^2 - r^2 s) (25 q^4 + 5 q^2 r^2 s + r^4 s^2)
Step-by-step explanation:
Factor the following:
125 q^6 - r^6 s^3
Hint: | Express 125 q^6 - r^6 s^3 as a difference of cubes.
125 q^6 - r^6 s^3 = (5 q^2)^3 - (r^2 s)^3:
(5 q^2)^3 - (r^2 s)^3
Hint: | Factor the difference of two cubes.
Factor the difference of two cubes. (5 q^2)^3 - (r^2 s)^3 = (5 q^2 - r^2 s) ((5 q^2)^2 + 5 q^2 r^2 s + (r^2 s)^2):
(5 q^2 - r^2 s) ((5 q^2)^2 + 5 q^2 r^2 s + (r^2 s)^2)
Hint: | Distribute exponents over products in (5 q^2)^2.
Multiply each exponent in 5 q^2 by 2:
(5 q^2 - r^2 s) (5^2 q^(2×2) + 5 q^2 r^2 s + (r^2 s)^2)
Hint: | Multiply 2 and 2 together.
2×2 = 4:
(5 q^2 - r^2 s) (5^2 q^4 + 5 q^2 r^2 s + (r^2 s)^2)
Hint: | Evaluate 5^2.
5^2 = 25:
(5 q^2 - r^2 s) (25 q^4 + 5 q^2 r^2 s + (r^2 s)^2)
Hint: | Distribute exponents over products in (r^2 s)^2.
Multiply each exponent in r^2 s by 2:
(5 q^2 - r^2 s) (25 q^4 + 5 q^2 r^2 s + r^(2×2) s^2)
Hint: | Multiply 2 and 2 together.
2×2 = 4:
Answer: (5 q^2 - r^2 s) (25 q^4 + 5 q^2 r^2 s + r^4 s^2)
Sales tax is calculated as a percentage of the sales price. If sales tax is 7%, what is the sales tax on clothing that costs $150?
Answer:
$160.50
Step-by-step explanation:
You multiply $150 by .15 to find out what 15% of it (10.50)
You add the values to get $160.50
10.5 is the sales tax on clothing that costs $150
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Sales tax is calculated as a percentage of the sales price.
sales tax is 7%
We need to find the the sales tax on clothing that costs $150
Convert 7% to the decimal value by dividing with 100.
7/100=0.07
Now multiply 0.07 with 150
0.07×150
Zero point zero seven times of one hundred and fifty.
10.5
Hence, 10.5 is the sales tax on clothing that costs $150
To learn more on Percentage click:
https://brainly.com/question/28269290
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Point Q' is the image of (-5,1) under a translation by 6 units to the right and 2 units down
Answer:
The object coordinate Q is (-11,3 )
Step-by-step explanation:
The translation is given as : ( 6,-2 )
The image coordinates for Q' is ( -5,1 )
So, to get the coordinates of object point Q (x,y), will be;
Q (x,y) + ( 6,-2 )---translation --------------⇒image Q' ( -5,1 )
Thus,
x+6 = -5
x= -5-6= -11
and
y+ -2 = 1
y-2=1
y=1+2 =3
Thus the object point coordinates Q is (-11,3 )
help solve 90 please
Answer:
c=263
Step-by-step explanation:
15 points!!!
4x^2 -20x +25≥0
Answer:
x ≥ [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
Given equation:
4x² -20x + 25≥0
To solve for x, we simply factorize the equation;
We should find two numbers whose sum = -20 and product is 100
These two numbers are -10 and -10
So;
4x² - 10x - 10x + 25 ≥ 0
factorize;
2x(2x - 5) - 5(2x - 5) ≥ 0
(2x - 5) (2x - 5) ≥ 0
So;
2x - 5 ≥ 0
2x ≥ 5
x ≥ [tex]\frac{5}{2}[/tex]
Which table represents a function?
Answer:
The table that starts with (-3, -1)
Step-by-step explanation:
For a table to represent a function the x value has to be different number. Such as, the other tables one has two -5, two -2, two -4 and etc. Do you get it
Answer: the first box
-3 -1
0 0
-2 -1
8 1
Step-by-step explanation: the x value can not repet it self but the y value can
Mrs. Sing invest $12,876 for her business at an annual interest rate of 7 percent for 3 years. Which number will mrs. sing substitute for r in the simple interest formula?
Answer:
The number that she will substitute is 7
Step-by-step explanation:
Mathematically, simple interest can be calculated using the formula ;
S.I = PRT/100
where P is the principal which is the amount invested = $12,876
T is the time which is 3 years
and R is the rate which is 7%
Answer:
Answer:
The number that she will substitute is 7
Step-by-step explanation:
i just took he test
The legend on a map states that 1 cm is 50 km. If you measure 7 cm on the map, how many kilometers would the actual distance be?
Answer:
350 kilometers
Step-by-step explanation:
The legend states that 1 cm = 50 km
So if you do 7cm times 50
7 × 50 = 350
On Monday at 1 p.M., when the ocean's surface was at an elevation of 2.2 feet, Winston went to a surf shop that was 8.2 feet above the ocean's surface. At 7 p.M. When the ocean's surface was at an elevation of -2.4 feet, Winston ate dinner at a restaurant whose deck was 10 feet above the ocean's surface.What was the distance between the deck and the ocean's surface at 1 p.M.?
Answer:
5.4 feet
Step-by-step explanation:
Let the reference line [tex]A_0B_0[/tex] represents the sea level without any elevation.
At 1 P.M. the ocean surface was at an elevation of 2.2 feet along the line [tex]A_1B_1[/tex] in the figure and the surf shop was 8.2 feet above of this elevated ocean's surface along the line [tex]A_2B_2[/tex] in the figure.
Similarly, at 7 P.M. the ocean surface was at an elevation of -2.4 feet along the line [tex]A_3B_3[/tex] in the figure and the deck in the restaurant was 8.2 feet above of this elevated ocean's surface along the line [tex]A_4B_4[/tex] in the figure.
From the figure, the distance between the deck and the ocean's surface at 1 P.M.= The distance between the lines [tex]A_1B_1[/tex] and [tex]A_4B_4[/tex].
[tex]d= 10- (d_1+d_2)[/tex]
[tex]=10-(2.2+2.4)[/tex]
=5.4 feet
Hence, the distance between the deck and the ocean's surface at 1 P.M. is 5.4 feet.
The distance between the deck and the ocean surface at 1 P.M. is 5.4 feet.
This is a problem of relative and absolute distances. First, we determine the absolute elevation of the surf shop at 1 P.M.:
[tex]x_{1} = 8.2\,ft + 2.2\,ft[/tex]
[tex]x_{1} = 10.4\,ft[/tex]
Now we determine the absolute elevation of the deck at 7 P.M.:
[tex]x_{2} = 10\,ft - 2.4\,ft[/tex]
[tex]x_{2} = 7.6\,ft[/tex]
Lastly, we calculate the elevation of the deck relative to the ocean surface at 1 P.M.:
[tex]x' = 7.6\,ft - 2.2\,ft[/tex]
[tex]x' = 5.4\,ft[/tex]
The distance between the deck and the ocean surface at 1 P.M. is 5.4 feet.
To learn more on distances, we kindly invite to check this verified question: https://brainly.com/question/989117
A playgroup class has 80 students, and 20 teachers.
Ratio: 80:20
SIMPLIFY THIS RATION DOWN>
Answer: 4:1
Step-by-step explanation:
Divide by two to get in simplest form.
80 ÷ 2 = 40
20 ÷ 2 = 10
Make a ration with 40 and 10.
40:10
Make 40:10 simpler by dividing by 10.
40 ÷ 10 = 4
10 ÷ 10 = 1
Make 4 and 1 into a ration.
4:1
Answer:
4 : 1
Step-by-step explanation:
Given the ratio
80 : 20 ← divide both parts by 20
= 4 : 1 ← in simplest form
Help!! !!!!! What’s the answer?
Answer:
1296m^2
Step-by-step explanation:
12m = 1cm per square
3 squares • 3 squares = 36 • 36 = 1296
Hope this helps! :)
The sum of triple a number d and 5
(it’s translating expressions)
Answer:
3d+5
Step-by-step explanation:
50+ POINTS I NEED HELP
Answer:
21 yard line
Step-by-step explanation:
Ok we start out on the 20 yard line, we need to add the yards together.
We add the 6 to the 20:
20+6=26
Then we subtract the 8 yards from our new 26:
26-8=18
Then we add the 18 by 3:
18+3=21
Therefore,
The Answer is 21 Yard Line.
Hope I could help, If you need some more assistance ask me!
Answer:
2 yard
Step-by-step explanation:
hola soy dora
What is the equation of this line?
Y= 2x - 3
y=-x-3y = -2x - 3
y = x - 3
Answer: y=2x-3
Step-by-step explanation:
It will cross the y axis at -3 and the x axis at 3/2
supercalifragilisticexpialidocious maggie pls find me
Answer:
i have found you
Step-by-step explanation: