Answer:
[tex]Sample\ Space = \{1\ Blue, 1\ Green, 1\ Yellow, 2\ Blue, 2\ Green,[/tex] [tex]2\ Yellow, 3\ Blue, 3\ Green, 3\ Yellow, 4\ Blue, 4\ Green, 4\ Yellow\}[/tex]
The number of occurrence that involve blue is 4
Step-by-step explanation:
Given
[tex]Card\ Number = \{1,2,3,4\}[/tex]
[tex]Marble = \{Blue, Green, Yellow\}[/tex]
Required
Determine the sample space
To determine the sample space, we have to select a card number and write it alongside the marble colours.
i.e.
[tex]Sample\ Space = \{1\ Blue, 1\ Green, 1\ Yellow, 2\ Blue, 2\ Green,[/tex] [tex]2\ Yellow, 3\ Blue, 3\ Green, 3\ Yellow, 4\ Blue, 4\ Green, 4\ Yellow\}[/tex]
Solving (b): Outcomes that involves blue marble
First, we list them out
[tex]Blue = \{1\ Blue, 2\ Blue, 3\ Blue, 4\ Blue}[/tex]
Number of occurrence is 4
Two cars leave the same parking lot, with one heading north and the other heading east.
After several minutes, the eastbound car has traveled 3 kilometers. If the two cars are now a
straight-line distance of 6 kilometers apart, how far has the northbound car traveled? If
necessary, round to the nearest tenth.
Answer:
wouldn't it be 3 kilometers because 3 this way plus 3 that way = 6 away from each other?
What is the measure of ZABC?
A
/(x + 45)
(3x)
(6x + 5)º
B
С
D
Enter the correct answer in the box.
Please help!! :)
Answer:
I think <ABC is 83° but I am not sure sorry if is wrong
What is the best conclusion that can be drawn from these statements?
All squares are rectangles. All rectangles have four 90° angles.
All squares have four 90 degree angles.
All squares are rectangles.
The angles of a square will add to 540 degrees.
All rectangles are squares.
Answer:
It will option A all square r rectangle
The expression x3 – 64 can be written as (x)3 – (4)3. What is the factorization of x3 – 64?
a3 – b3 = (a – b)(a2 + ab + b2)
A. (x – 4)(x2 + 4x + 8)
B. (x – 4)(x2 + 4x + 16)
C. (x – 64)(x2 + 64x + 16)
D. (x – 64)(x2 + 64x + 4,096)
Answer:
B
Step-by-step explanation:
(x - 4) because a = x and b = 4, subsitute into (a - b)
(x2 + 4x + 16) because if a = x and b = 4, you subsitute them into (a2 + ab + b2) to get your answer
if you answer this u will get 10, and I will answer one of ur questions ONLY if ur right
Answer:c or 35
Step-by-step explanation:
Answer: 35%.
Step-by-step explanation:
35% of the students preferred hamsters as a favorite pet.
Can anyone solve this for me? Ty:)
Answer:
2x^2 + 6x + 2
Step-by-step explanation:
5 + 3x - x^2 + (3x^2 - 5x + 4 + 8x - 7) =
= 5 + 3x - x^2 + 3x^2 + 3x - 3
= 2x^2 + 6x + 2
Select the reason why these triangles are
similar. If they are not, select "Not similar".
A. AA
B. SAS
C. SSS
D. Not similar
Answer:
The reason why these triangles are similar is;
A. AA
Step-by-step explanation:
A two column proof can be presented using the drawing of the question diagram created with Microsoft Visio as follows;
Statement [tex]{}[/tex] Reason
[tex]\overline {AB}[/tex] ║ [tex]\overline {DE}[/tex] [tex]{}[/tex] Given
∠ACB ≅ ∠DCE [tex]{}[/tex] Vertically opposite angles
∠BAC ≅ ∠DEC [tex]{}[/tex] Alternate interior angles theorem
∠ABC ≅ ∠CED [tex]{}[/tex] Alternate interior angles theorem
ΔABC ~ ΔCDE [tex]{}[/tex] By Angle-Angle (AA) similarity postulate
Therefore, the correct option is AA.
Identify the x- and y-intercepts of the equation
4x - y = 8
[tex]\boxed{\boxed{\pink{\sf \leadsto The \ x - intercept \ is \ (2,0) \ \& \ the \ y \ intercept \ is \ (-8,0) }}}[/tex]
Step-by-step explanation:A linear equation is given to us and we are required to find x and y Intercepts to it. So the given linear equation to us is ,
[tex]\bf \implies 4x - y = 8 \\\\\bf\implies \dfrac{1}{8} \bigg( 4x -y\bigg) =\frac{1}{8}\times 8 \\\\\bf\implies \dfrac{4x}{8}-\dfrac{y}{8} = \dfrac{8}{8} \\\\\bf\implies \dfrac{x}{2}-\dfrac{y}{8}=1 \\\\\bf\implies\boxed{\red{\bf \dfrac{x}{2}+\dfrac{y}{-8}=1 }}[/tex]
Hence on comparing to standard form we get
x intercept as (2 , 0 )y intercept as (0,-8) Hence the x - intercept is ( 2 , 0 ) and the y - intercept is ( 0 , -8 ) .Answer:
x = (2,0)
y = (0,-8)
Step-by-step explanation:
Remember than an intercept always has the other number as 0.
Let's put this in standard form of a linear equation, or y = mx + b
4x - y = 8
-y = -4x + 8
y = 4x - 8
"b" is the y intercept. The y intercept is -8, or (0,-8)
Now, to find the x intercept, all we have to do is substitute 0 for y.
0 = 4x -8
8 = 4x
2 = x
The x intercept is 2, or (2,0)
-6(-2x - 1) + 2
please i need help
Answer:
12x + 8
Step-by-step explanation:
Distribute -6 to the parentheses:
-6(-2x - 1) + 2
12x + 6 + 2
Add like terms:
12x + 8
So, the simplified expression is 12x + 8
What is the PERCENT DECREASE: 1) PRINCETON: December - 50 January - 40 2) WORCESTER: December - 256 January - 197 3) CHICAGO: December - 7050 January - 6708
Answer: See explanation
Step-by-step explanation:
PRINCETON:
December - 50
January - 40
Decrease = 50 - 40 = 10
Percentage Decrease = Decrease/Original value × 100
= 10/50 × 100
= 20%
2) WORCESTER:
December - 256
January - 197
Decrease = 256 - 197 = 59
Percentage Decrease = Decrease/Original value × 100
= 59/256 × 100
= 23.05%
3) CHICAGO:
December - 7050
January - 6708
Decrease = 7050 - 6708 = 342
Percentage Decrease = Decrease/Original value × 100
= 342/7050 × 100
= 4.85%
If you can anserw both of them that’ll be great if not that’s okay too !! I need this as fast as possible thank you !!!!
Answer:
Step-by-step explanation:
Slope intercept formula: y = mx + b
m = slope
b = y-intercept
Substitute
14.) y = 1x + 0
Basically y = x
15.) y = 2x + (-7)
y = 2x - 7
TV repairmen charge 35 dollars for a house call and then 15 per hour what would be the charge after 4 and a half hours?
Answer:
$102.50
Step-by-step explanation:
The formula here would be x=35+15y, y being the number of hours he was there.
So 35+15(4.5)=102.5, or $102.50.
Answer:
$102.50
Step-by-step explanation:
35 + 15+15+15+15=95 then you break 15 into two comes out 7.50 which then makes your total $102.50
David works in a department store selling clothing. He makes a guaranteed salary of $250 per week, but is paid a commision on top of his base salary equal to 5% of his total sales for the week. How much would David make in a week in which he made $1500 in sales? How much would David make in a week if he made xx dollars in sales?
Answer:
250 + 0.05 (1500)
250 + 75 = $325 david made i a week with 1500 in sales
250 + 0.05(xx) is how much david would make if he sold xx that week
Step-by-step explanation:
i hope this helped :)
A linear function is a function that changes at a constant rate.
David would make $325 if he made $1500 in sales,He would make 250 + 0.05x if he made $x in salesThe given parameters are:
Flat Salary = $250 weeklyCommission= 5%A linear function is represented as:
[tex]C(x) = b + mx[/tex]
Where:
b represents the y-interceptm represents the slopeSo, we have:
[tex]C(x) = 250 + 5\% \times x[/tex]
Express 5% as decimal
[tex]C(x) = 250 + 0.05 \times x[/tex]
[tex]C(x) = 250 + 0.05x[/tex]
On a sale of $1500, the equation becomes
[tex]C(x) = 250 + 0.05 \times 1500[/tex]
[tex]C(x) = 325[/tex]
Hence. David would make $325 if he made $1500 in sales, and he would make 250 + 0.05x if he made $x in sales
Read more about linear equations at:
https://brainly.com/question/14323743
What percentage of a day is 4 hours?
Answer:
1/6%
Step-by-step explanation:
i belive thats the answer hope it helps
What percent of this grid is shaded?
The image shows a grid that has 10 columns and 10 rows making 100 equal-sized squares. Seven columns are completely shaded and 6 squares in the eighth column are shaded.
A. 76%
B. 19/20%
C. 76/100%
D. 24%
Answer:
A. 76%
Step-by-step explanation:
70+6=76 squares are shaded
What is SSS, SAS, AAS, ASA
Answer:
Side side side, Side Angle Side, Angle Angle SIde, Angle Side Angle
Step-by-step explanation:
What is the image of the point (9, – 7) after a rotation of 270° counterclockwise
about the origin?
Answer:
The image if the point is (-7, -9)
Step-by-step explanation:
If The point (x, y) rotated about the origin by angle 90° counterclockwise, then its image is (-y, x)If the point (x, y) rotated about the origin by angle 180° counterclockwise, then its image is (-x, -y)If the point (x, y) rotated about the origin by angle 270° counterclockwise, then its image is (y, -x)∵ The given point is (9, -7)
∴ x = 9 and y = -7
∵ The given point is rotated 270° counterclockwise about the origin
→ By using the third rule above
∴ The image of the point is (y, -x)
→ That mean change the sign of x-coordinate, then switch them
∵ x = 9 and y = -7
∴ The image if the point is (-7, -9)
ASAP, I NEED HELP!!!
ILL GIVE YOU 20 POINTS!!!!
PLEASE GIVE ME THE ANSWER AND HOW YOU GOT THE ANSWER
Answer:
B) 37.5 cm squared!
Step-by-step explanation:
First, we know that a triangular prism has 5 faces, so in order to find the surface area of this prism, we must find the area of each face, and then add them together.
Face 1 (Rectangle): 6.5 * 1.5 = 9.75
Face 2 (Rectangle): 6 * 1.5 = 9
Face 3 (Rectangle): 2.5 * 1.5 = 3.75
Face 4 (Triangle): (6 * 2.5)/2 = 6
Face 5 (Triangle): (6 * 2.5)/2 = 6
Now, we add all the areas of the faces together.
9.75 + 9 + 3.75 + 6 + 6 = 37.5
37.5 is the surface area of the whole triangular prism.
Last year, there were k ples baked for the bake sale. This year, there were 216pies baked. Using k, write an expression for the total number of pies baked in
the two years.
Answer:
216 + k = total pies
Step-by-step explanation:
216 pies this year + k pies last year = total pies
A cylinder has a diameter of 7 and height of 10.4 . What is its total surface area to two decimal places
Answer:
305.68
Step-by-step explanation:
π = 3.14(aka pi)
d=diameter
h=height
^=exponent
The formula for doing this types of problem is 2π d/2h + 2π(d/2)^2. So all you do is fill in the diameter and height of the variable.
2π 7/2(10.4) + 2π(7/2)^2=305.68
Hope this was helpful, if not deeply sorry, I'm only in 7th grade...
The product of two consecutive integers is 72. Write a quadratic equation to find the integers, and then solve it.
Answer:
9 x 8
Step-by-step explanation:
Answer:
ok so basically what you do is since you know they are consecutive numbers, one is x and the other is x+1. Now when you multiply x and x+1 you get 72 , so this basically turns into a quadratic where x(x+1)=72. Thus,X^2+x=72. subtract 72 from both sides- x^2+x-72=0. Then you can solve for x using the quadratic formula or some other way and you get x to be 8 or -9. OH WAIT THERE IS ANOTHER SOLUTION IT IS -9 AND -8. . Anyway yea hoped this helped.
Step-by-step explanation:
If a new surfboard in North Carolina costs $320 and the sales tax is 4.75%, what
was the total cost of the surfboard?
$335.20
$304.80
$321.25
$342.40
The bakers fits 26 rolls on to a pan that measures 1 5/8ft2. How many square feet does the baker use for each roll
Answer: 1/16 ft²
Step-by-step explanation:
The baker put 26 rolls into a pan that has an area of 1⁵/₈ ft².
Each roll is therefore taking up a space of:
= Area/ Number of rolls
Convert the fraction to an improper fraction:
1 ⁵/₈ = 13/8
= 13/8 ÷ 26
= 13/8 * 1/26
= 13/208
= 1/16 ft²
Can someone help me ASAP please. I'll give extra points if right fr
Answer:
y = -1/4x + -6
Step-by-step explanation:
please help me with this.
Pls tell me where to put what in the picture below
Answer:
M is the gradient of the line and b is the y-intercept or where the line cuts the y-axis and the x is zero at the point
Step-by-step explanation:
What is the equation of a line with a Y intercept of -3 and a slope of five
Answer:
y = 5x -3
Step-by-step explanation:
m=5
b=- 3
y = mx + b
y = 5x -3
Which equation is the slope-intercept form of the line that passes through (1, 2) and is parallel to the graph of y = 8/3x?
Answer:
5
Step-by-step explanation:
it is five
Which point is located at (4, 1)? On a coordinate plane, point A is 4 units to the right and 1 unit up. Point B is 4 units to the left and 1 unit up. Point C is 1 unit to the right and 4 units up. Point D is 1 unit to the left and 4 units up. A B C D
Answer:
Point A is 4 units to the right and 1 unit up. (A).
Step-by-step explanation:
The reason is (4, 1) is (x, y).
x is in a horizontal line while y is in a vertical line.
In x, right is positive while left is negative.
In y, up is positive while down is negative.
combine these like terms 4 girls + 2 girls - 3 boys
Answer:
6 girls - 3 boys
Step-by-step explanation:
Answer:
6girls - 3 boys
Step-by-step explanation:
4 girls + 2 girls =6 girls
you cant mix girls and boys so you still have 3 boys