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.
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]
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:
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
Select the table that represents a linear function. (Graph them if necessary.)
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°
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
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?
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?
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
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
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 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.
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..
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
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
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. ❤️
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)
Name the slope of a line parallel to y = -3x -2
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.
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:
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.
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)
Can someone please help me ?
Answer:
The answer is C because 40% of 1450 is 580.
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
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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
TurboTax will have one 45-second commercial. How much money will they spend?
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: