Answer:
1 button.
Step-by-step explanation:
Total buttons = 40
Total red buttons = 6
Total Buttons removed =25
Buttons left = 40–25 = 15
Let the red buttons left = x
1.)Then, the probability of red buttons after removing 25 buttons = x/15 outcome / Total outcome)
2.)Probability of red buttons in the bag after removing 25 buttons is 1/3 (As given in the question)
Comparing Statement 1.) & 2.) , We get
x/15 = 1/3
x = 5
So the red buttons left = 5
Total red buttons= 6
Red buttons removed = 6–5= 1
Hence, only 1 button was red in the 25 removed buttons
There is only one red button in the removed buttons if it has a chance of drawing a red button from the bag after removing 25 buttons from the bag with 14 blue, 6 red, 12 green, and 8 purple buttons is 1/3. This is obtained by equating the probability of getting red buttons from the bag after removing 25 buttons with the given probability of red buttons.
What is probability?Probability is the measure of the likelihood of an event occurring.
Probability is given by the ratio of the number of favorable outcomes with respect to an event to the total number of possible outcomes.
[tex]p(A) = \frac{n(A)}{n(S)}[/tex]
p(A) is the probability of event A
n(A) is the number of outcomes with respect to A
n(S) is the total number of possible outcomes
Calculating the number of red buttons:Given that a bag contains 14 blue, 6 red, 12 green, and 8 purple buttons.
So the total number of buttons in the bag = 40
It is given that 25 buttons are removed from the bag randomly
thus, the remaining buttons in the bag = 40 - 25 = 15
It is given that the probability of drawing a red button from the bag after removing 25 buttons is 1/3
So, for finding the number of red buttons in the bag after removing we can write,
n(A) = p(A) × n(S)
here, A is the event of drawing the number of red buttons and p(A) = 1/3 and n(s) = 15 (after removing)
Thus, the number of red buttons in the bag after removing = [tex]\frac{1}{3}[/tex] × 15 = 5
So, the number of red buttons left in the bag = 5
then, the red buttons removed from the bag = 6 - 5 = 1
Therefore, only 1 red button is removed from the bag.
Learn more about probability here:
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How do I do this? Cause I don’t know how. Also please show work. Don’t only say the answer. Whoever shows the work and answer gets a thanks and a brainliest.
Louise completed the work shown below.
(5x3 + 3)2 = (5x3)2 + (3)2 = 25x6 + 9
Determine if Louise’s answer is correct. Explain.
Answer:
SAMPLE RESPONSE
Step-by-step explanation:
Louise’s answer is not correct. She is missing the term 30x3. When squaring a binomial, it is best to write the product of the binomial times itself. Then you can use the distributive property to multiply each term in the first binomial by each term in the second binomial. Louise also could have used the formula for a perfect square trinomial, which is found by squaring a binomial.
An artist can create 4 pieces of pottery in 2 hrs. What is the artists unit rate in minutes without units?
Answer:
2 piece per hour
Step-by-step explanation:
Given data
Quantity= 4 pieces
time= 2 hours
Required
The unit rate
rate= quantity/time
rate= 4/2
rate= 2 piece per hour
ALGEBRAIC EXPRESSION, FACTORIZATION AND IDENTITIES... pls help me in this...
Answer:
I solved question number 8.
a) p= 9
b) p = 17
I solved number 9 but I'm not sure about it
i) 119
ii) 14165
——-PLEASE HELP W/ EXPLANATION——-
Answer:
I think it is 94 hope it works
PLEASE HELP
Question 1 options:
What is the area of a circle with a diameter of 18.2 cm?
Use 3.14 for ∏ and round your final answer to the nearest hundredth.
The area is ___ square cm.
Answer:
28.574
Step-by-step explanation:
18.2 x 3.14 then divied by 2
Evaluate the expression, 7x+8(x-3). Assume that x=4.
Answer:
if x was 4 then the answer would be 36.
Step-by-step explanation:
28+8(4−3)
=28+(8)(1)
=28+8
=36
The length of a rectangle is 3 m longer than its width. If the perimeter of the rectangle is 26 m , find its area.
Answer:
40 m²
Step-by-step explanation:
First, find the perimeter. Using the perimeter formula, p = 2l + 2w, solve for the side lengths of the length and width.
Let w represent the width. The length can be represented by w + 3, since the length is 3 m longer than the width.
Plug in 26 as the perimeter, and plug in w and w + 3 for the width and length:
p = 2l + 2w
26 = 2(w + 3) + 2w
Simplify and solve for w:
26 = 2w + 6 + 2w
26 = 4w + 6
20 = 4w
5 = w
Find the length by adding 3 to this:
5 + 3
= 8
Now, find the area using the area formula, A = lw
Plug in the length and width:
A = lw
A = 8(5)
A = 40
So, the area of the rectangle is 40 m²
Solve the system of linear equations using substitution.
x=7y-9
x+7y=3
Answer:
2. x = 3-7y
Step-by-step explanation:
Use point-slope form to write an equation of the given line. Solve the equation for y.
у
Х
I’m studying and I have trouble with this problem and I need an explanation. Please help me! Thank you
Answer:
Step-by-step explanation:
Im going to assume they want x+108.
You have 2 expressions sitting on a line, so when added to each other they must = 180
So add and set up an equality
x+108+x+78=180
Combine like terms
2x+186=180
Solve
2x+186=180
-180 -180
2x+6=0
-6 -6
2x=-6
________
2
x=-3
Substitute X for -3
-3+108=
105.
Given WXYZ, what is the measure of Z?
O A. 90°
O B. 1450
O c. 235°
O D. 100
O E. 55°
O F. 35°
x + 2y = 9
2x - y = 8
(5,2)
(1,4)
(4,-1)
(5, -2)
which one is it?
Answer:
(5,2)
Step-by-step explanation:
when you plug them in they appear true!
PLS HELP ME PLS I WILL GIVE BRIANLIEST
Answer: BC/BF & M<C
Step-by-step explanation:
The given formula can be used to determine the volume of a cylinder V= BH = Area
Answer:
5626.9 m cubed
Step-by-step explanation:
Factorize i) 6y² - 24 y
Answer:
6y (y + 4)
(pick out the common factors) \
hope its righ!
Hope it helps you ❤️. ❤️❤️❤️❤️
y = x + 2
y = -5/2x-5
Look at the ingredients needed to make Josie's special pancakes. How much pancake mix and milk will you need if you want to double the recipe? to triple the recipe? solve this problem anyway you choose math answer
Answer:
Double - 7 5/6
Explantion: 2 1/4 times 2 equal 4 1/2 for the pancake mix
1 2/3 times 2 equal 3 1/3 for the milk
So.....4 1/2 plus 3 1/3 equals 7 5/6
Triple- 11 3/4
Explantion: 2 1/4 times 3 equals 6 3/4 for the pancake mix
1 2/3 times 3 for the milk equals 5
So.... 5 plus 6 3/4 equal 11 3/4
Hope it help :)
Guadrilateral whose vertices are A(-2-2),B(5-2),C(4-3) and D(-3,-3)what kind of a guadrilatetal is ABCD?
Answer:
The quadrilateral ABCD is a parallelogram
Step-by-step explanation:
The vertices of the quadrilateral ABCD are;
A(-2 -2), B(5, -2), C(4, -3)and D(-3, -3)
The slope of segment [tex]\overline {AB}[/tex] = (-2 - (-2))/(5 - (-2)) = 0
The length of segment [tex]\overline {AB}[/tex] = 5 - (-2) = 7 (points having the same y-coordinates)
The slope of segment [tex]\overline {AD}[/tex] = (-3 - (-2))/(-3 - (-2)) = 1
The length of segment [tex]\overline {AD}[/tex] = √((-3 - (-2))² + (-3 - (-2))²) = √2
The slope of segment [tex]\overline {DC}[/tex] = (-3 - (-3))/(-3 - 4) = 0
The length of segment [tex]\overline {DC}[/tex] = 4 - (-3) = 7 (points having the same y-coordinates)
The slope of segment [tex]\overline {BC}[/tex] = (-3 - (-2))/(4 - 5) = 1
The length of segment [tex]\overline {AD}[/tex] = √((4 - 5)² + (-3 - (-2))²) = √2
Therefore;
The opposite sites of the quadrilateral ABCD are equal; [tex]\overline {AB}[/tex] = [tex]\overline {DC}[/tex], [tex]\overline {AD}[/tex] = [tex]\overline {BC}[/tex]
Given that the slope of a line gives the inclination of the line on a graph, we have;
The opposite sites of the quadrilateral are parallel; [tex]\overline {AB}[/tex] ║ [tex]\overline {DC}[/tex], [tex]\overline {AD}[/tex] ║ [tex]\overline {BC}[/tex]
Therefore the quadrilateral ABCD is a parallelogram because the opposite sides of the quadrilateral ABCD are parallel.
Please pls help me :(
Im on that to, maybe i can help you !! :)
a class has eight boys and 12 girls. what is a ratio of boys to girls?
Answer:
8:12
Step-by-step explanation:
Answer:
8:12
= 2:3
hope
this
helps
Please ONLY Answer #3
Answer:
yes , keiko is correct.
sin^(-1)x = -sin^1
Answer:
Keiko is wrong
Step-by-step explanation:
Keiko is incorrect
When n is positive, 1^n will always be 1
but........ (-1)^n will not always be -1
This is because there are parenthesis around -1
So n is even, then it will be 1 not -1
For example, n = 4
You will do -1 * -1 * -1 * -1 which is 1 not -1
but if n = 3
You will do -1 * -1 * -1 which is -1
Therefore, the second statement is incorrect resulting in Keiko being wrong
Is 16x2 - 16x + 4 a perfect square?
Answer:
Yes
Step-by-step explanation:
Use the completing the square method:
16(x^2-x)+4
=16((x-1/2)^2 - (1/2)^2)+4
=16((x-1/2)^2 - 1/4)+4
=16((x-1/2)^2) - 16/4 + 4
=16(x-1/2)^2
=4^2(x-1/2)^2
The product of two square is itself a square.
Simplify
2×3^x - 3^x-1 / 18^x × 2^-x
Step-by-step explanation:
Collect like terms: 6∧x - 3∧x - 1/ 18∧x · 2
3∧x - 1/ 18∧x · 2
Calculate the product: 3∧x - 2/ 18∧x
Find common denominator: 54∧x/ 18∧x - 2/ 18∧x =
54∧x - 2/ 18∧x
Urgent please help..
Verify the identity shown below.
tan∅+cot∅=sec∅×csc∅
Answer:5
That is exactly correct! Just two things: First, tan,sin,cos, etc hold no meaning on their own, they need an argument. So just be sure to write tanx, cosx etc rather than just tan or cos.
Finally, you could save time on your proof by noticing on the fourth step that
1cosxsinx=1cosx1sinx=secxcscx
Share
Cite
Follow
Step-by-step explanation:
Express the recurring decimal 0.136 as a fraction in its simplest form.
Write your working in the box, below, and use x in the working.
Write fractions using the / sign. Eg you would write as 1/2
PLEASE HELP ASAP
Finding angles!!
Answer:
Angle 1: 115
Angle 2: 65
Angle 3: 115
Angle 4: 65
Angle 5: 115
Angle 6: 65
Angle 7: 115
Step-by-step explanation:
Find the value of angle 2 by applying the vertical angles theorem (65)
Find the value of angle 1 by applying the supplementary angles theorem from the original angle (180 - 65 = 115)
Find the value of angle 3 by applying the vertical angles theorem from angle 1 (115)
Angles 4, 5, 6, and 7 are on a line parallel to the orginal line, cut by the same transversal, so they have the same values, according to the same side interior/exterior angles theorems.
Which letter represents 1/8 on the following number line ?
Answer:
the answer is p
Step-by-step explanation:
r
3. Identify the vertical intercept of the graph. What does
it tell you about the situation?
Answer:
Vertical intercept of a graph
The vertical intercept is the point where the graph of a line crosses the vertical axis. The vertical intercept of this line is or just -6.
Step-by-step explanation:
btw so hard question mate, enjoy the answer