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.
Consider the graph of the sixth degree polynomial f. Replace the values b, c and d to write function f.
f(x) = (x-b)(x-c)^2(x-d)^3
Answer:
f(x) = (x - 2)(x + 1)²(x - 4)³
Step-by-step explanation:
Multiplicity of a polynomial:
1). If the multiplicity is odd, the graph will cross the x-axis at that zero.
2). If the multiplicity is even, the graph will touch the x-axis at that zero.
Since the given graph is just touching the x-axis at x = -1 multiplicity for the zero (at x = -1) will be even.
Similarly, graph is crossing the x-axis at x = 2 and x = 4, multiplicity for the zero will be odd.
So, the function will be,
f(x) = (x - 2)(x + 1)²(x - 4)³
Answer:Answer : f(x)= (x-1)(x+1)^2(x-4)^3
Step-by-step explanation:
help me plz thank you
Answer:
4^5,6^7,8^6,7^4
Step-by-step explanation:
add the power to the other and then put the base
which is greater -0.53 or-0.51
Answer:
-.51 is greater
Step-by-step explanation:
-0.51 is greater than -0.53.
What is a number line?It is the representation of numbers in real order.
The difference between the consecutive numbers in a number line is always positive.
We have,
-0.53 and -0.51
The number line from -0.50 to -0.55.
<_____-0.55__-0.54__-0.53__-0.52__-0.51__-0.50_____>
We see that,
-0.53 is less than -0.51
Thus,
-0.53 < -0.51
Learn more about number line here:
https://brainly.com/question/13425491
#SPJ2
1. Quinn is knitting a scarf with his grandmother. Yesterday, his grandmother
used 3/4 of a
skein of wool and Quinn used 1/12 of a skein. How much more wool did
Quinn's
grandmother use than Quinn?
Evaluate 8 - m/n + p² when m = 8, n = 2, p = 7.
Correct answer will be marked brainliest!!
Answer:
53
Step-by-step explanation:
so first of all we would have to plug in what were given and simplify:
[tex]8 - \frac{8}{2} + {7}^{2} \\ 8 - 4 + 49 = 4 + 4 9= 53[/tex]
If n is an odd integer, which equation can be used to find three consecutive odd integers whose sum is 15?
Answer:
n+(n+2)+(n+4)=15
Step-by-step explanation:
Let n= the smallest odd integer
n+(n+2)+(n+4)=15
n=3
what is the quadrant or axis on which the point is located (0.5, -7) ?
Answer:
Step-by-step explanation:
quadrant 4 (x is positive and y is negative)
find the missing angle in the image below?
Answer:
? = 40°
Step-by-step explanation:
100° = 60° + ? (The exterior angle property of triangles)
100° - 60° = ? (By the law of transposition)
40° = ?
If my answer helped, kindly mark me as the brainliest!
Thank You!
Answer:
the missing angle is 40
Step-by-step explanation:
let the missing angle be x
then x+ 60 = 100 using (exterior angle property)
so x= 100-60 which is equal to 40.
hope this helps u buddy..
Select the table that represents a linear function. (Graph them if necessary.)
Help me, pls! PLS! I need help ASAP, I'm stuck!! >:(
I would truly appreciate it if anyone can help me! Thank u!
(Science; Measuring Volume and Mass. Also, I'm not confused, it's just I've been seeing everyone answering Math questions more often and I kinda need my answers stat.)
Answer:
So the volume expands as kinetic energy is gained and the more mass there is the more kinetic energy there will be. Hopefully this helps you and if it doesn't I will add on to it, just lmk.
9 to the 10th power
Answer:
3486784401
Step-by-step explanation:
Hi! 9 to the 10th power is written like this: [tex]9^{10}[/tex]. It equals 3,486,784,401. The equation is written like this: 9×9×9×9×9×9×9×9×9×9, NOT 9×10. I hope this helps you! Good luck and have a great day. ❤️
Can someone please help me ?
Answer:
The answer is C because 40% of 1450 is 580.
There are 2 out of 5 boxes shaded. What percent is not shaded?
Answer:
i am going to say 3/5 but am not sure
Step-by-step explanation:
What is the solution set to 6x – 12 > 30?
Answer:
Inequality Form:
x > 7
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
x can be anything bigger then 7 to make this true.
Which of these expressions has the same product as ()?
Select all that apply.
A.
()
B.
()
C.
()
D.
()
E.
()
Answer:
none
Step-by-step explanation:
I can't find any question there
Use the table to help determine the answer to the question below. If one cake needs 413 cup(s) of flour, how much flour will 3 cakes need?
What is the solution to the inequality 5.25 – b ≥ 6.5? A number line going from negative 5 to positive 5. A solid circle appears between negative 1 and negative 2. The number line is shaded from the circle to negative 5. A number line going from negative 5 to positive 5. An open circle appears between negative 1 and negative 2. The number line is shaded from the circle to negative 5. A number line going from negative 5 to positive 5. A solid circle appears between negative 1 and negative 2. The number line is shaded from the circle to positive 5. A number line going from negative 5 to positive 5. An open circle appears between negative 1 and negative 2. The number line is shaded from the circle to positive 5.
Given:
The inequality is
[tex]5.25-b\geq 6.5[/tex]
To find:
The solution of the given inequality on the number line.
Solution:
We have,
[tex]5.25-b\geq 6.5[/tex]
Subtract 5.25 from both sides.
[tex]5.25-b-5.25\geq 6.5-5.25[/tex]
[tex]-b\geq 1.25[/tex]
Multiply both sides by -1 and change the sign of inequality.
[tex]b\leq -1.25[/tex]
The value of b always less than or equal to -1.25. Since -1.25 included in the solution set, therefore there is a solid circle on -1.25.
-1.25 lies between -2 and -1. It means the solid circle lies between -1 and -2.
[tex]b\leq -1.25[/tex], so the number line is shaded from the circle to negative 5.
A number line going from negative 5 to positive 5 is the required solution if a solid circle appears between negative 1 and negative 2. The number line is shaded from the circle to negative 5.
Therefore, the correct option is A.
Answer:
the correct answer is option C
Step-by-step explanation:
I fixed my mistake from choosing option A
What is the answer please don’t make a fake answer that has already happened to me
Answer:
x=5, <E = 10°
Step-by-step explanation:
Since triangles ENP and DFM are congruent,
m<E = m<D
5x-15 = 2x
3x = 15
x = 5
<E = 5x-15 = 5*5 - 15 = 25-15 = 10°
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
There are a total of 75 motorcycles and cars in a shop. There are 270 wheels in all. How many motorcycles and how many cars are in the shop?
Answer: 15 motorcycles and 60cars
TurboTax will have one 45-second commercial. How much money will they spend?
Find the gradient of the line segment between the points (10,-4) and (6,-16).
Answer:
The answer is 3Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(10,-4) and (6,-16)
We have
[tex]m = \frac{ - 16 - - 4}{6 - 10} = \frac{ - 16 + 4}{ - 4} = \frac{12}{4} = 3 \\ [/tex]
We have the final answer as
3Hope this helps you
GIVING BRAINLY FIRST TO ANSWER ACCURACTELY AND WITH AN AWESOME EXPLANATION!!
Hi! I believe your answer is 48 cups because there are 48 cups in 3 gallons, which is the most he can serve. I hope this helps you! Good luck and have a great day. ❤️ (Also, I see you play R0blox? Friend me: adriii_rose)
What are the x and y-intercepts of the line described by the equation?
2x + 4y = 12.4
Enter your answers, in decimal form, in the boxes.
x-intercept =
y-intercept =
Answer:
x-int (6.2, 0)
y-int (0, 3.1)
Step-by-step explanation:
x-intercept is found when y = 0.
y-intercept is found when x = 0.
Step 1: Define equation
2x + 4y = 12.4
Step 2: Find x-intercept
Substitute y for 0.
2x + 4(0) = 12.4
2x = 12.4
x = 6.2
(6.2, 0)
Step 3: Find y-intercept
Substitute x for 0.
2(0) + 4y = 12.4
4y = 12.4
y = 3.1
(0, 3.1)
What does this mean exactly?
Answer: Choice B [tex]y \le 0[/tex]
========================================================
Explanation:
They want to know what are all the possible y values here. The range is the set of all possible outputs of a function.
The largest y value is y = 0 which occurs at the vertex, in this case the highest point. There is no smallest y value as those arrows point downward forever.
So y is between negative infinity and 0, which means we write [tex]-\infty < y \le 0[/tex]
Converting that to interval notation leads to [tex](-\infty, 0][/tex]. Note the square bracket to include the endpoint.
The compound inequality [tex]-\infty < y \le 0[/tex] simplifies to [tex]y \le 0[/tex]
One way to describe this particular relation's range is to say "The set of negative real numbers with 0 included".
Side note: The domain is the set of all possible x inputs. In this case, the domain is the set of all real numbers.
given the definition of f (x) and g(x) below find the value of g(f(-1)).
f(x)=3x²+5x-7
g(x)=2x+13
Answer:
-29
Step-by-step explanation:
first do the f function which gets you g(-21)
then do the g function
Find the derivative of y with respect to the appropriate variable
y=cos^-1(x^2)
Answer:
a. Practically speaking, you compute the differential in much the same way you compute a derivative via implicit differentiation, but you omit the variable with respect to which you are differentiating.
Aside: Compare this to what happens when you differentiate both sides with respect to some other independent parameter, say :
b. This is just a matter of plugging
Step-by-step explanation:
like if this was helpful
pleassseee help will give good rating and brain :)
Answer:
Step-by-step explanation:
1. (x-3)(x+8)
x^2+5-24
2. (-3x+2)(4x+5)
-12x^2-7x+10
3. (x+4)(x-4)
x^2-16
4. (x+5)^2
x^2+10x+25
5. (2x-7)^2
4x^2-28x+49
6. (x-7)(x+7)
x^2-49
7. (5x-1)(2x+4x-3)
30x^2-13x+3
8. (3x^3+7x^2+7x+10
2 1/5 + 2 1/5 + 3 1/8 + 3 1/8
Answer:
Simplify the expression.
Exact Form:
213/20
Decimal Form:
10.65
Mixed Number Form:
10 13/20
Step-by-step explanation:
Name the slope of a line parallel to y = -3x -2