Probability of yellow disk will be selected is [tex]\frac{4}{5}[/tex]. probability [tex]\frac{5}{25}[/tex] that a yellow disk will be randomly selected from the bag.
What is probability?Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are.
Given
n(S) = 25
a. Probability of yellow disk will be selected is O is
n(E) = 25 - 5 = 20
P(E) = [tex]\frac{n(E)}{n(S)}[/tex] = [tex]\frac{20}{25}[/tex] = [tex]\frac{4}{5}[/tex]
b. It is the probability [tex]\frac{5}{25}[/tex] that a yellow disk will be randomly selected from the bag.
Hence, Probability of yellow disk will be selected is [tex]\frac{4}{5}[/tex]. probability [tex]\frac{5}{25}[/tex] that a yellow disk will be randomly selected from the bag.
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median of 410, 400, and 375
Answer:
400
Step-by-step explanation:
375 , 400, 410 (arrange in asc or des)
median = (middle num) = 400
Hope its right!
Answer:
400
Step-by-step explanation:
look (this is what 2 + 2 equals)
5 (2 cups of vinegar+ 2 cups of baking soda = 5 cups of fizzy mess)
or 4
Directions:
1. Determine which type of angles are shown.
2. Then find the measure of the missing angles.
There are 12 trees on the Smith’s property. The Smith’s plant some trees, and now there are 21 trees. How many trees t do the Smith’s plant?
Answer:
The Smith's planted 9 trees
Step-by-step explanation:
21-12=9
Because the Smith's ending amount is 21, and their beginning amount is 12 you subtract 21-12=9
Answer:
Well, there can be two answers. One of them can be 9, since they planted 9 MORE trees on top of the 12 already there. (21-12=9) The other answer can be 33 if you count all the trees they planted. (12+21=33)
Step-by-step explanation:
Find g(x), where g(x) is the translation 7 units right of f(x)=x2. Write your answer in the form a(x–h)2+k, where a, h, and k are integers.
Answer:
[tex]g(x) =1(x + 7)^2 + 0[/tex]
Step-by-step explanation:
Given
[tex]f(x) = x^2[/tex]
Required
Determine g(x) where g(x) is a translation of f(x), 7 units to the right
When a point is translated to the right, the resulting point is:
[tex]x -> x + b[/tex]
Where b is the number of units to the right.
In this case:
[tex]b = 7[/tex]
So, we have:
[tex]g(x) = f(x +7)[/tex]
Solving f(x+7)
Substitute x + 7 for x in [tex]f(x) = x^2[/tex]
[tex]f(x + 7) = (x+7)^2[/tex]
So, we have:
[tex]g(x) = (x+7)^2[/tex]
To write in the form of [tex]a(x - h)^2 + k[/tex], we have:
[tex]g(x) =1(x + 7)^2 + 0[/tex]
Last week a pound of strawberries cost $4. This week they are 24% more expensive. What is the current price of a pound of strawberries? Enter your answer in the box. pls help me
Answer:
$5.96
Step-by-step explanation:
I divided 4 by 100 then multipley by 24
Find the value of the expression.
•(- 12
1
4
Answer:
try mat.h way it will help
Step-by-step explanation:
Help me out please I’ll mark brainliest
I believe the answer is ASA
please help I attached a picture
Answer:
option (3)
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
(h, k) are the coordinates of the vertex and a is a multiplier
Given
f(x) = x² - 12x + 7
Using the method of completing the square
add/subtract ( half the coefficient of the x- term )² to x² - 12x
f(x) = x² + 2(- 6)x + 36 - 36 + 7
= (x - 6)² - 29
with vertex (h, k ) = (6, - 29 )
what is the mean of this? 48, 12, 35, 57, 42, 15, 74, 29.
ILL GIVE U BRAINLYEST
answer:
48 + 12 + 35 + 57 + 42 + 15 + 74 + 29 = 312
divide by number of numbers,
312 / 8 = 39
the mean is 39.
if correct, please mark the brainliest :)
Answer:
the mean is 39.
Step-by-step explanation:
Jennifer and Chelsea each improved their yards by planting rose bushes and geraniums. They bought their supplies from the same store. Jennifer spent $146 on 6 rose bushes and 14 geraniums. Chelsea spent $57 on 1 rose bush and 7 geraniums. What is the cost of one rose bush and the cost of one geranium?
Answer:
$15.00
Step-by-step explanation:
Suppose 1 rose bush costs r dollars,
Suppose 1 geranium costs g dollars.
Here are 2 equations:
1)6r+14g=146
3r+7g=73
2)r+7g=57
r=57-7g
Put 2) in 1)
3(57-7g)+7g=73
171-21g+7g=73
98=14g
g=7
r=8
7+8=$15.00
Hope I helped!
Fill in the missing term on each line. Simplify any fractions.
2d + 10 = 10
2d =
Subtract 10 from both sides
d =
Divide both sides by 2
the answer is,......
d = 0
Pleaseee helpp answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer:
x = 146º
Step-by-step explanation:
opposite angles in a parallelogram are equal to each other, so x = 146º
In the right triangle shown m angle A =45° and AB=12 how long is BC?
Answer: there u go this the correct answer if your on khan academy.
From the given right angle triangle, the length of side BC will be equal to 6√2.
What is a right angle triangle?Any triangle that has one 90º angle has a right angle. Right triangles are those with an angle of 90 degrees, or "right angles," and are therefore those with this angle. The Pythagorean rule can be used to clarify the relationship between both the triangle's different sides.
As per the data provided in the question,
If one of the angles in a right triangle is 45 degrees, therefore the complimentary angle must also be 45 degrees.
Then,
m∠B = 45°
From the triangle ABC.
Cos B = BC/AB
As we know, the value of cos at 45° = √2/2
AB = 12
BC = cos (B) (AB)
BC = (√2/2) × 12 = 6√2 units.
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Give the angle measure represented by 2 rotations clockwise.
a. -720°
c. -360°
d. 360°
b. 720°
Answer: B: 720
Step-by-step explanation: One turn is 360
The height of Moyo and that of
Adamu differs by 9. The difference of the squares of their height is 120.
Find their heights.
Answer:
The height of Moyo is
[tex]\frac{67}{6}[/tex]
The height of Adamu is
[tex]\frac{13}{6}[/tex]
Step-by-step explanation:
Equations
To solve the problem, we assign the variable:
x = height of Moyo
Since Moyo is 9 units taller than Adamu:
x - 9 = height of Adamu
The difference of the squares of their heights is 120, thus:
[tex]x^2-(x - 9)^2=120[/tex]
Operating:
[tex]x^2-(x^2-18x+81)=120[/tex]
[tex]x^2-x^2+18x-81=120[/tex]
Simplifying:
[tex]18x-81=120[/tex]
Adding 81:
[tex]18x=120+81=201[/tex]
Dividing by 18:
[tex]x=\frac{201}{18}=\frac{67}{6}[/tex]
The height of Moyo is
[tex]\frac{67}{6}[/tex]
The height of Adamu is
[tex]\frac{67}{6}-9=\frac{13}{6}[/tex]
help help me please I'm not getting brain early plus just to get the answer please help
Answer:
Pearl pale hand
Step-by-step explanation:
what is the common difference of the arithmetic sequence 5,8,11,14?
Answer:
3
Step-by-step explanation:
8-5= 3
11-8= 3
14-11= 3
Answer:
common difference = difference between two consecutive number in a given series
hence,
8-5=3
common difference =3
Angle 3 is equal to angle
What part of 18 is 1
Answer:
1 / 18 = 5.555555555556%
Step-by-step explanation:
hope it helps
The [tex]\frac{1}{18}th[/tex] part of 18 is equal to 1.
Fraction:Let us consider that x part of 18 is equal to 1.
So that,
[tex]x*18=1\\\\x=\frac{1}{18}[/tex]
Therefore, [tex]\frac{1}{18}th[/tex] part of 18 is equal to 1.
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2x - 4 < 12
???????????
Answer: x < 8
Reason: I did some math
Answer:
x<8
Step-by-step explanation:
Choose the numerical expression that matches the phrase.
Multiply 4 and 7, then add 3.
3 x 4 +7
Α.
B. 3 x 7 +4
C.4 x 7 + 3
D. 7 x 3 + 4
Answer:
Multiple 4 and 7, then add 3 is equivalent to
C. 4 x 7 + 3
Answer:
C. 4 x 7 + 3
Step-by-step explanation:
→ Multiply 4 and 7
4 × 7
→ Then add 3
4 × 7 + 3
Laura bought a notebook and a pencil for $4.50. The notebook cost twice the amount of the pencil. On your worksheet, solve the question and write your answer below. . How much was the pencil and how much was the notebook
Answer:
n+p=4.50
n=2p
2p+p=4.5
2p=4.5
p=$1.5
n=$3
Step-by-step explanation:
Answer:
Pencil: $1.50
Notebook: $3
Step-by-step explanation:
n = cost of notebook
p = cost of pencil
n + p = 4.5
n = 2p
substitute n into the first equation
2p + p = 4.5
3p = 4.5
p = 1.5
n = 2p
n = 2(1.5)
n = 3
The 10th, 4th and 1st term of an A.P are three consecutive find the common ratio of the G.P and the sum of the 6th term, taking the 1st term to be 4
Answer:
Common ratio=1/2
Sum of first 6 terms of an A.P=31.5
Step-by-step explanation:
Let a be the first term and d be the common difference of an A.P
a=4
nth term of an A.P
[tex]a_n=a+(n-1)d[/tex]
Using the formula
[tex]a_4=a+3d=4+3d[/tex]
[tex]a_{10}=a+9d=4+9d[/tex]
According to question
We know that
For G.P
[tex]\frac{a_n}{a_{n-1}}=r[/tex]=Common ratio
[tex]r=\frac{4+3d}{4+9d}=\frac{4}{4+3d}[/tex]
[tex]\frac{4+3d}{4+9d}=\frac{4}{4+3d}[/tex]
[tex](4+3d)^2=\frac{4}{4+3d}[/tex]
[tex]16+9d^2+24d=16+36d[/tex]
[tex]9d^2+24d-36d-16+16=0[/tex]
[tex]9d^2-12d=0[/tex]
[tex]3d(3d-4)=0[/tex]
[tex]d=0, d=4/3[/tex]
Substitute the value of d
When d=0
[tex]r=\frac{4}{4+3d}=\frac{4}{4+0}=1[/tex]
When d=4/3
[tex]r=\frac{4}{4+3\times \frac{4}{3}}=\frac{1}{2}[/tex]
But we reject d=0 because if we take d=0 then the terms are not consecutive terms of G.P
Sum of n terms of an A.P
[tex]S_n=\frac{n}{2}(2a+(n-1)d)[/tex]
Using the formula
Substitute n=6 and d=1/2
[tex]S_6=\frac{6}{2}(2(4)+5\times \frac{1}{2})[/tex]
[tex]S_6=31.5[/tex]
The dinner bill came to $24.29 before tax and tip. If the taxes were 6% and they decided to leave an 18% tip, what was the total cost of the dinner?
Answer:
$30.64 +6% tax and 18% tip
Step-by-step explanation:
Hope it helps
(x + 1)^7
Use Pascal's Triangle and Binomial.Theorem
Answer:
x⁷+7x⁶+21x⁵+35x⁴+35x³+21x²+7x+1
Step-by-step explanation:
(x + 1)⁷: Pascal's Triangle for (a+b)⁷
a₇+7a⁶b+21a⁵b²+35a⁴b³+... + 7a¹b⁶ + b⁷
x⁷+7x⁶+21x⁵+35x⁴+35x³+21x²+7x+1
#6 Find x to show that Quadrilateral ABCD is a parallelogram.
Answer:
x = 5
Step-by-step explanation:
Diagonals of a parallelogram bisect each other. Based on this knowledge, to show that the quadrilateral is a parallelogram, therefore:
3x - 4 = x + 6
Solve for x
Collect like terms
3x - x = 4 + 6
2x = 10
Divide both sides by 2
x = 5
One number is seven more than a second number. Six times the first is 10 less than 2 times
the second. Find the numbers.
The value of the first number is ___.
The value of the second number is ___.
Answer:
Step-by-step explanation:
The first number is
−
13
and the second number is
−
6
Explanation:
Let's let the first number be
n
and the second number be called
m
.
Then, from the first sentence we can write:
n
=
m
−
7
and from the second sentence we can write:
2
n
=
6
m
+
10
Substitute
m
−
7
for
n
in the second equation and solve for
m
:
2
(
m
−
7
)
=
6
m
+
10
2
m
−
14
=
6
m
+
10
2
m
−
14
−
2
m
−
10
=
6
m
+
10
−
2
m
−
10
−
14
−
10
=
6
m
−
2
m
−
24
=
4
m
−
24
4
=
4
m
4
m
=
−
6
Now substitute
−
6
for
m
in the first equation and calculate
n
:
n
=
−
6
−
7
n
=
−
13
Anybody know the answer?
Answer:
no, no I don't know the answer. Sorry and hope you have a nice rest of the day
please help me if you can pleasee
Answer:
Slope for #17 is 3/2
Slope for #18 is -18
Step-by-step explanation: