Answer:
ALL RED = 19/5000
Two Red = 3831/10000
No red marbles = 16/26
Step-by-step explanation:
1. Find the total number of marbles
7+10+9= 26
2. There are 10 red marbles so the probability that the first marble is red 10/26
3. When the second marble there are 25 marbles so the probability that it is red is 9/25
4. Third Marble probability
8/24
5. Fourth Marble probablity
7/23
6. Fifth marble probability
6/22
7. Now to find that ALL the marbles are red you multiply all the fractions above
10/26 * 9/25 * 8/24 * 7/23 * 6/22 = 0.0038
8. Convert to fraction form
19/5000
9. Two marbles are red
5!/(3!*2!) * 10/26 * 9/25 * 16/24 * 15/23 * 14/22 = 0.3831
10. Convert to fraction
3831/10000
For which values of the parameter "p" the equation
"8x^2 - 4x + 1 - p = 0" (with unknown x) has two different real roots less than 1?
Can you please explain in detail how this problem is solved?
Answer:
[tex]\dfrac12 < p < 5[/tex]
Step-by-step explanation:
To solve this, we need to use the discriminant.
Discriminant
[tex]b^2-4ac\quad\textsf{when}\:ax^2+bx+c=0[/tex]
[tex]\textsf{when }\:b^2-4ac > 0 \implies \textsf{two real roots}[/tex]
[tex]\textsf{when }\:b^2-4ac=0 \implies \textsf{one real root}[/tex]
[tex]\textsf{when }\:b^2-4ac < 0 \implies \textsf{no real roots}[/tex]
If the given equation has 2 real roots, then we need to use:
[tex]b^2-4ac > 0[/tex]
Given equation: [tex]8x^2-4x+1-p=0[/tex]
[tex]\implies a=8, \quad b=-4, \quad c=(1-p)[/tex]
Substituting these values into [tex]b^2-4ac > 0[/tex] and solve for p:
[tex]\implies (-4)^2-4(8)(1-p) > 0[/tex]
[tex]\implies 16-32(1-p) > 0[/tex]
[tex]\implies 16-32+32p > 0[/tex]
[tex]\implies -16+32p > 0[/tex]
[tex]\implies 32p > 16[/tex]
[tex]\implies p > \dfrac{16}{32}[/tex]
[tex]\implies p > \dfrac12[/tex]
For the roots to be less than 1, first find the value of p when the root is 1.
If the root is 1, then [tex](x-1)[/tex] will be a factor, so [tex]f(1)=0[/tex]
Substitute [tex]x=1[/tex] into the given equation and solve for p:
[tex]\implies 8(1)^2-4(1)+1-p=0[/tex]
[tex]\implies 5-p=0[/tex]
[tex]\implies p=5[/tex]
Therefore, the values of p for which the given equation has two different real roots less than 1 are:
[tex]\dfrac12 < p < 5[/tex]
A party rental company has chairs and tables for rent. The total cost to rent 3 chairs and 8 tables is $87. The total cost to rent 5 chairs and 2 tables is $26.
What is the cost to rent each chair and each tabl
Answer:
(Chairs):C=29−8t/3
(Tables):T=87/8−3c/8
Step-by-step explanation:
For C: Move all terms that don't contain c to the right side and solve.
For T: Move all terms that don't contain t to the right side and solve.
(Do the same thing with the other numbers as well)
(CHeck your work for each one)
Someone help, please and thank you
Answer:
6√2
Step-by-step explanation:
Given,
θ = 45
Opposite side = 6
To find : - Hypotenuse
Formula : -
sin θ = Opposite side / Hypotenuse
[ The value of sin 45 = 1 / √2 ]
sin 45 = 6 / Hypotenuse
1 / √2 = 6 / Hypotenuse
Cross multiply,
Hypotenuse = 6√2
Answer:
6[tex]\sqrt{2}[/tex]
Step-by-step explanation:
a 45-45-right triangle always has the same relationship between the legs and hypotenuse.
leg:leg:hypotenuse
x:x:x[tex]\sqrt{2}[/tex]
find the area of the figure
and how to find the answer
Answer:
The area of figure is 29.
Step-by-step explanation:
By counting the square box.
Answer:
28.5 square units
Step-by-step explanation:
Spit it into a triangle and a rectangle.
The Triangle is
(3 * 3) / 2
= 9 / 2
= 4.5
The Rectangle is
3 * 8
=24
The total is 4.5 + 24 = 28.5
41 is 82% of what number?
Enter your answer in the box.
Answer:
The answer is 50.
Step-by-step explanation:
Set up a proportion: [tex]\frac{41}{y} =\frac{82}{100}[/tex]
Step 2- Multiply 41 by 100 to get 4100
Step 3. Divide 4100 by 82 to get 50.
Hope this helps! :)
Students and teachers at a school were asked if they preferred blue, green, red, or yellow. The table shows the results of the survey. Blue Green Red Yellow Total Students 5 10 20 15 50 Teachers 15 10 5 20 50 Total 20 20 25 35 100 Choose three statements that can be inferred from the data in the table. A. 20% of all people surveyed chose blue. B. 20% of the students surveyed chose red. C. 20% of the students surveyed chose blue. D. 20% of the teachers surveyed chose green. E. 20% of those who chose red were teachers. F. 20% of those who chose yellow were teachers.
20% of all people surveyed chose blue and 20% of the teachers surveyed chose green. Then the correct options are A and D.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
Students and teachers at a school were asked if they preferred blue, green, red, or yellow.
The table shows the results of the survey.
[tex]\begin{matrix}&\rm Blue &\rm Green &\rm Red &\rm Yellow &\rm Total \\\\\rm Students &5 &10 &20 &15 &50 \\\\\rm Teachers &15 &10 &5 &20 &50\\\\\rm Total &20 &20 &25 &35 &100\end{matrix}[/tex]
A. The probability of the people who chose blue will be
[tex]\rm P = \dfrac{20}{100} = 0.2 \ or \ 20\%[/tex]
B. The probability of the student who chose red will be
[tex]\rm P = \dfrac{20}{50} = 0.4 \ or \ 40\%[/tex]
C. The probability of the student who chose blue will be
[tex]\rm P = \dfrac{5}{50} = 0.1 \ or \ 10\%[/tex]
D. The probability of the teachers who chose green will be
[tex]\rm P = \dfrac{10}{50} = 0.2 \ or \ 20\%[/tex]
E. The probability of the teachers who chose red will be
[tex]\rm P = \dfrac{5}{50} = 0.1 \ or \ 10\%[/tex]
F. The probability of the teachers who chose yellow will be
[tex]\rm P = \dfrac{20}{50} = 0.4 \ or \ 40\%[/tex]
More about the probability link is given below.
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There is 1/2 of a pizza left for 4 friends to
share. What fraction of a pizza will each
friend get to eat?
will make brainlest and rate 5 stars and say thanks
you could solve this problem one of two ways-
1)
100/4 25/2 12.5
100, equals the entire pizza. 4, is the number of people. 25, is the amount they all get. They you divide by 2 since it is only a half pizza.
-or-
2)
100/2 50 50/4 12.5
100, equals the entire pizza. Divide that by 2 since it half a pizza. 100/2 equals 50. Then, since there is 4 friends you divide 50 by 4. Which equals 12.5.
In conclusion, the final answer is 12.5% of the pizza each.
Hope this helps!!
61-63 Sketch the region bounded by the given curves and find the area of the region.
61. [tex]y=1 / x, \quad y=1 / x^{2}, \quad x=2[/tex]
The area of the region is 0.193 square units for the region bounded by the curves and find the area of the region.
What is integration?It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.
To find the area of the bounded region by the curves(refer to attached picture):
[tex]\rm A= \int\limits^2_1 {(\frac{1}{x}-\frac{1}{x^2}) } \, dx[/tex]
After solving:
A = 0.193 square units
Thus, the area of the region is 0.193 square units for the region bounded by the curves and find the area of the region.
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Find the length of the indicated side.
Answer:
Step-by-step explanation:
9 to the power of 0 is what number
Answer:
1Step-by step Explanation:
∴ Exponent rule: Any number that has an exponent as 0, the result is 1.
⇒ 9⁰ = 1Thus, the result is 1.
Pleas I really need help with this
Answer:
4r ^2 +9r + 12
Step-by-step explanation:
Hope this helps! :)
Solve For m
m = - ( 4 + m ) + 2
Max and Tara are each designing a playground for a school project. In Max’s design, x square feet of the playground will be covered in wood chips. In Tara’s design, the area to be covered is 40 square feet less than 1.5 times the area covered in wood chips in Max’s design. Which expression represents the area, in square feet, to be covered in wood chips in Tara’s design? 1.5x-40
simplify (2x-3)^3-(x-4)^3
please help urgently
Answer:
7x^3 -24x^2 +6x +37
Step-by-step explanation:
Step 1:
Expand (2x-3)^3
(2x)^3 - 3(2x)^2 * 3+3 * 2x * 3^2 -3
(8x^3 -36x^2 +54x -27)
Step 2:
Expand (x-4)^3
x^3 -3x^2 *4 +3x *4^2 -4^3
(x^3 -12x^2 +48x -64)
Step 3: Subtract and add like terms
(8x^3 -36x^2 +54x -27) - (x^3 -12x^2 +48x -64)
7x^3 -24x^2 +6x +37
Ans: 7x^3 -24x^2 +6x +37
Somebody help me to solve this problem.please help me.
Answer:
Tama po
Yan
Step-by-step explanation:
Enjoy po
Godbless
How to do this one ?
The volume of the conical mountain, to the nearest whole number, is approximately 143 cubic kilometers.
What is the Volume of a Cone?Volume of a cone = 1/3πr²h, where h os the height, r is the radius.
Given the following dimensions of the conical mountain:
Height (h) = 3.8 kmRadius (r) = 6 kmVolume of the mountain = 1/3πr²h = 1/3π(6²)(3.8)
Volume of the mountain ≈ 143 km³
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Teresa is maintaining a campfire.She has kept the fire steadily burning for 4 hours using 6 logs. The number of logs needed to keep the fire burning is proportional to the number of hours it burns. She wants to know how many logs she needs to keep the fire burning for 18 hours.
Select the equationis Teresa can use to determine the number of logs she needs, x, to maintain the fire for 18 hours.
A. x/6 = 4/18
B. x/6 = 18/4
C. x/18 = 6/4
D. x/4 = 18/6
E. 4/6 = 18/x
Answer:
E. 4/6 = 18/x
Step-by-step explanation:
4 hour using 6 logs
18 hours using x logs
On any given day, the number of users, u, that access a certain website can be represented by the inequality | 125-u | -<30. Which of the following represents the range of users that access the website each day?
Answer: D
Step-by-step explanation:
Answer:
D. 95 ≤ u ≤ 155
Step-by-step explanation:
use ABC to find the value of cos A
40/9
9/41
40/41
9/40
Answer:
Yes the one you clicked on is the right answer.
350 divided by what gives you 5?
Answer:
350 divided by 70
Step-by-step explanation:
350 by 5= 70 350 by 70 = 5
Hope this helps
Answer:
70
Step-by-step explanation:
image Which absolute value equation represents the graph? Question 7 options: A) ƒ(x) = –|3x| – 5 B) ƒ(x) = 5|x| – 3 C) ƒ(x) = |5x – 3| D) ƒ(x) = 3|x – 5|
The function f(x) = |x| shift horizontally to the right by 5 units with a stretch of 3 units. The resulting function will be f(x) = 3|x - 5|
Transformation of functionsTransformation is a technique used to change the position of an object on an x-plane.
The parent function of the shown graph is f(x) = |x|
The attached graph shows that the function f(x) = |x| shift horizontally to the right by 5 units with a stretch of 3 units. The resulting function will be f(x) = 3|x - 5|
Learn more on transformation here: https://brainly.com/question/4289712
Latasha reads 9 pages in 3 minutes. Latasha reads at a rate of
per minute. She reads at a rate of ?
minute per page.
Answer:
3 pages per minute.
Step-by-step explanation:
If we know that she reads 9 pages in 3 minutes, then we can divide the whole speed by 3 to get how much she reads in one minute.
3 pages in 1 minute.
Which of the functions below could possibly have created this graph?
O A. F(x) - –** – x2 – 3x2 +3
O B. F(x) = x + 13** + 12x
C. F(x) = -x + 2x* +6x
D. F(x)= x4 – x2 – 3x +3
Answer:
D
Step-by-step explanation:
All you have to do is put it in desmos, hope this helped :)))
The graph of the equation is f ( x ) = x⁴ - x³ - 3x² + 3
What is Equation of Graph of Polynomials?Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.
Identify the even and odd multiplicities of the polynomial functions' zeros.
Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.
The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities
Given data ,
Let the equation of the graph be represented as A
Now , the value of A is
f ( x ) = x⁴ - x³ - 3x² + 3
There are no asymptotes for the function
And , the graph of the function is plotted below
Hence , the equation is f ( x ) = x⁴ - x³ - 3x² + 3
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Wilbur has homework assignments in seven subjects. He only has time to do five of them.
Answer:
21 waysStep-by-step explanation:
Given
Wilbur has 7 subjects' homeworkHe can only do 5 of themCombination Formula
ⁿCₓ = n! / (n - x)! x!Number of possible ways
⁷C₅ = 7! / 2! x 5!⇒ 7 x 6 x 5! / 2! x 5!⇒ 7 x 6 / 2⇒ 7 x 3⇒ 21 waysFind the area of a regular nonagon with a radius of 4
If it's a regular nonagon, each exterior angle has measure 360°/9 = 40°, so the supplementary interior angles each have measure 180° - 40° = 140°.
We can split up the nonagon into 9 congruent isosceles triangles whose longer side coincides with the radius of the circle. (The language in the question is a bit ambiguous; I think it's clearler to say the nonagon is itself circumscribed by the circle, so that each of its vertices lie on the circle. See attached image - not mine, but it's in public domain.)
As the image suggests, each triangle will have interior angles measuring 70°, 70°, and 40°.
We can use trigonometry to find the side length of the nonagon, i.e. the length of the shortest side of each triangle - I'll call it x. For example, using the law of cosines,
x² = 4² + 4² - 2 • 4 • 4 cos(40°) ⇒ x = 4√2 √(1 - cos(40°))
Then the perimeter of the nonagon is
9x = 36√2 √(1 - cos(40°)) in ≈ 24.623 in
The area of a triangle is 1/2 the product of its base and height. The base will be b = x, but to get the height we cut the isosceles triangle in half to produce a right triangle. We use trig again to determine its height h:
tan(70°) = h/(b/2) ⇒ h = 1/2 x tan(70°)
so each triangle contributes an area of
a = 1/2 bh = 1/4 x² tan(70°) ≈ 5.142 in²
and so the area of the nonagon is
9a = 9x²/8 tan(70°) ≈ 46.281 in²
Represent absolute value, not brackets. Calculate the value of this expression: |-7|×|5|+18÷|-6|. -38, -35, 32, 38.
Answer:
38
Step-by-step explanation:
|-7|×|5|+18÷|-6|
First take the absolute value of each number, which means take the positive value
7×5+18÷6
Multiply and divide from left to right
35 + 3
Then add
38
Gary used 7 yards. His brother used four times as much fabric. How much fabric did Gary's brother use?
Answer: 28 yards
You just have to multiple the 7 by the 4. :)
A metal strip is being installed around a workbench that is 8 feet long and 2 feet wide. If the stripping costs $3 per foot, find the total cost of the stripping.
Length x width x price
8x2 = 16
16x$3 = $48
the total cost is $48
BRAINLIEST!!!
A website requires users to set up an account that is password protected. If the password
format is four letters (A-Z) followed by a single digit number (0-9), and letters can be repeated, how
many different passwords are possible?
Answer:
4,569,760 different passwords
Step-by-step explanation:
[tex]26 \times 26 \times 26 \times 26 \times 10 = 4569760[/tex]
Digits can be repeated means repeatation is allowed
So
Total letters=26Total nos=10Total ways
26⁴×10456976×104569760The following are the Consumer Price Index (CPI) for the years 1991-1993. All of the values use a reference year of 1986.
Year CPI
1991 110
1992 120
1993 135
Which of the following is true about the CPI, based on the information?
A.)
$100 in 1992 would have been worth $100 in 1986.
B.)
$100 in 1993 would be equivalent to $120 in 1992.
C.)
$100 in 1986 would be equivalent to $135 in 1993.
D.)
$100 in 1991 would have been worth $110 in 1986