Answer:
x=2
Step-by-step explanation:
use completeting the square
[tex]4x^2-16x+5=4(x-2)^2-11[/tex]
A toy machine has equal numbers of red, white, and blue foam balls which it releases at random. Ross wonders which color ball will be released next. Select the description of how you can use a standard number cube to model and predict this situation.
A.Let multiples of 2 represent red, let multiples of 3 represent white, and let the remaining numbers represent blue. Toss the cube 50 times to determine the experimental probability for each color. Predict that the next ball will be the color with the greatest experimental probability.
B.Since "red" has three letters and "one," "two," and "six" all have 3 letters, let these represent red. Since "blue" has 4 letters and "four" and "five" have four letters, let these represent blue. Since "white" has five letters and "three" has five letters, let this represent white. Toss the cube 50 times to determine the experimental probability for each color. Predict that the next ball will be the color with the greatest experimental probability.
C.Let 1 and 2 represent red, let 3 and 4 represent white, and let 5 and 6 represent blue. Toss the cube 50 times to determine the experimental probability for each color. Predict that the next ball will be the color with the greatest experimental probability.
D.Let even numbers represent red, let odd numbers represent white, and let prime numbers represent blue. Toss the cube 50 times to determine the experimental probability for each color. Predict that the next ball will be the color with the greatest experimental probability.
Answer:
Since there are three colors and a standard number cube has 6 sides, you can let the numbers 1 and 2 represent red, 3 and 4 represent white, and 5 and 6 represent blue. Then roll the number cube repeatedly, recording the results for each roll. After you have recorded a sufficient number of rolls, determine which color was rolled the most often.
RESULT
Let the numbers 1 and 2 represent red, 3 and 4 represent white, and 5 and 6 represent blue.
Option (C) predicts the probability of the above situation correctly is the correct answer.
What is probability?Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.
For the given situation,
A toy machine has equal numbers of red, white, and blue foam balls which it releases at random.
Ross wonders which color ball will be released next.
A standard number cube is used to model and predict this situation.
A standard number cube has six faces namely 1,2,3,4,5,6.
There are three foam balls. If we assign two numbers for each foam, then we can able to predict the probability of next foam by rolling it for number of times.
Thus from the given options, Let 1 and 2 represent red, let 3 and 4 represent white, and let 5 and 6 represent blue. Toss the cube 50 times to determine the experimental probability for each color. Predict that the next ball will be the color with the greatest experimental probability. This option determines the above situation.
Hence we can conclude that option (C) predicts the probability of the above situation correctly is the correct answer.
Learn more about probability here
https://brainly.com/question/16970284
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area of a triangle pls help meeee
Answer:
50
Step-by-step explanation:
Bxh/2
10x10=100
100/2= 50
The area of a rectangle is 479.4 square feet. The width of the rectangle is 17 feet.
What is the length of the rectangle? *
1. 28.2 feet
2. 190.4 feet
3. 30.94 feet
4. 239.7 feet
The answer is 28.2 because 479.4 ft. ÷ 17 ft. = 28.2 ft.
1. 20% of 150 is what number?
Answer:
30
Step-by-step explanation:
First, you have to convert 20% into a decimal.
Explanation:
20 ÷ 100 = 0.2
Now multiply 0.2 by 150
Explanation:
0.2 × 150 = 30.
Therefore, 20% of 150 is 30.
When a number is increased by 23. the result is 42. What equation fits this statement?
Answer:
n + 23 = 42
Step-by-step explanation:
Well, let's see.
Let's name the number "n".
So, n + 23 = 42.
And there's your answer.
Hope this helped! :)
Answer:
y + 23 = 42
y = 19
Step-by-step explanation:
y + 23 = 42
Subtract 23 from both sides:
y + 23 - 23 = 42 - 23
y = 19
Santiago has a points card for a movie theater.
He receives 55 reward points just for signing up.
He earns 12.5 points for each visit to the movie theater.
He needs at least 160 points for a free movie ticket.
Write and solve an inequality which can be used to determine xx, the number of visits Santiago can make to earn his first free movie ticket.
Answer:
12
Step-by-step explanation:
The number of visits that Jack can make to earn his first free movie ticket will be at least 12 visits
PLS HELP NO FAST LINKS!!!
blahh
I don't like myself
But maybe it's all in my head And I am not the words I've said These images they sell Maybe none of it is real And I could love the way I feel
Answer:
?
Step-by-step explanation:
oh my god wow you're so quirky
What is
(7x-3) = (12x+12)
Answer:
x=-3
Step-by-step explanation:
PLEASE HELP ME I REALLY NEED THE ANSWER
1 tickets
2 tickets
3 tickets
4 tickets
Answer:
2 adult tickets
Step-by-step explanation:
we have two relations
[tex]a + c = 5[/tex]
[tex]9a + 4c = 30[/tex]
first rearrange the top equality for one of the variables
[tex]a = 5 - c[/tex]
now substitute into the second equation
[tex]9(5 - c) + 4c = 30[/tex]
perform the distribution and combine like terms
[tex]45 - 9c + 4c = 30[/tex]
[tex]45 - 5c = 30[/tex]
[tex] - 5c = - 15[/tex]
[tex]c = 3[/tex]
place this 3 into our first equation and solve for a
[tex]a + (3) = 5[/tex]
[tex]a = 2[/tex]
Which statements are true about the shapes? Select three options.
Figure A is a cylinder. Figure B is a cone. Figure C is a sphere. Figure D is a pyramid with rectangular base.
A Figure A is a cylinder.
B Figure B is a square pyramid.
C Figure C has no bases.
D Figure D is a triangular prism.
E Figure D has four lateral faces that are triangles.
Answer:
C Figure C has no bases.
D Figure D is a triangular prism.
A Figure A is a cylinder.
Step-by-step explanation:
Answer:
B,D,C
Step-by-step explanation:
because thats the anwser
30 + = 45
А
15
в 3,045
с
14
D
60
Answer: 15=45
Step-by-step explanation:30+15=45=15
Answer:
A.15
Step-by-step explanation:
30+15=45
At the beginning of 2007, the population of a certain state was 55.4% rural and 44.6% urban. Based on past trends, it is expected that 15% of the population currently residing in the rural areas will move into the urban areas, while 21% of the population currently residing in the urban areas will move into the rural areas in the next decade. What was the population distribution in that state at the beginning of 2017
Answer:
New Rural Urban distribution = 56.4 , 43.4
Step-by-step explanation:
Let the total population be = 100
The rural urban distribution = 55.4% & 44.6% of 100 = 55.4 & 44.6 respectively
Given , 15% of rural population shifts to urban. So, 15% of 55.4 ie = 8.31 shift from rural to urban.
Also, 21% of urban population shifts to rural. So, 21% of 44.6 , ie = 9.36 shift from urban to rural.
So, New rural population = old rural - rural to urban shift + urban to rural shift = 55.4 - 8.31 + 9.36 = 56.39 ≈ 56.4
New urban population = old urban - urban to rural shift + rural to urban shift = 44.6 - 9.36 + 8.31 = 43.55 ≈ 43.4
So, the new distribution is = 56.4 , 43.4
16\5 divided by 8\15
Answer:
6
that's the answer
hope it helps
Halla dos numeros enteros sabiendo que al sumarlos se obtiene (-9) y que el mayor de ellos menos 5 es igual al menor
Respuesta:
-7 y - 2
Explicación paso a paso:
Dejemos que los dos números = x y y
x = mayor
y = menor
x + y = - 9 - - - (1)
x - 5 = y - - - (2)
Ponga y = x - 5 en (1)
x + (x - 5) = - 9
x + x - 5 = - 9
2x - 5 = - 9
2x = - 9 + 5
2x = - 4
x = - 4/2
x = - 2
Ponga x = - 2 en y = x - 5
y = - 2 - 5
y = - 7
Which expression is equivalent to?
-4(x + 2)-1/2(2x-6)
Answer:
-5x - 5
Step-by-step explanation:
distribute both -4 and -1/2
it should look like this...
-4x - 8 - x + 3 now add the like terms
-5x - 5
Final answer: -5x - 5
if the radius of circle is r cm.write domn the measurement of area of that circle
Please help
Extra hundred points and brainleist
Answer:
A
Step-by-step explanation:
It is A. The problem asks for the interval when the marlin's height is always increasing. Therefore, you want to look at the left half of the parabola, as the line is going into the peak. The right half is declining. The peak is at around 2 (on the x-axis), so you know that the ending interval number has to be 2. The marlin's height begins to go up starting at 0, so the interval is 0 <= x <= 2. Any number past two is a declining height, and the increase starts at 0.
Solve the equation below. you must show all your work, and have the correct answer.
9x + 10 = 12x – 11
Answer:
x=7
Step-by-step explanation:
You need to bring 9x to the right side and bring '-ll' to the left side so it will be 11+10 = 12x-9x. Then you calculate 11+10, which is 21, then you subtract 12x to 9x. Then it will be 21 = 3x. Lastly, you divide 3 on both sides of the equation and get x to be 7!
Answer:
x=7
Step-by-step explanation:
9x+10=12x-11
-9x. -9x. subtract 9x from both sides
10 = 3x-11
+11 +11. add 11 to both sides
21 =3x
divide by 3x (21 ÷3=7) therefore x=7
i was running in a marathon i was in last place then i oveer toke the second place runner what place am i now?
ur in second place
Hopefully it will help u
Select the two correct solutions of the inequality x + 8 > 14.
A. 6
B. 4
C. 8
D. 2
E. 10
Answer:
Step-by-step explanation:
So basically you’re asking if blank plus 8 is greater than 14 so the answers would be 8 and 10
Help me pls Im almost done
Answer:
The probability of picking a purple marble and spinning green is [tex]\frac{3}{28}[/tex].
Step-by-step explanation:
Since there are 7 marbles and 8 possible tiles to spin, the total amount of possible outcomes are 56. Out of the 56 different outcomes, 6 of them meet the requirement of picking a purple marble and spinning green, so the fraction to represent the situation is [tex]\frac{6}{56}[/tex] or [tex]\frac{3}{28}[/tex].
A game has a deck of cards with 5 red cards and 3 blue cards. You randomly choose one card and without replacing it choose another card. What is the probability of choosing a red card and then a blue card?
A: 2/7
B:10/49
C:15/56
D:15/64
Answer: C (15/56)
Step-by-step explanation:
probability of red card: 5/8
probability of blue card (after): 3/7
5/8 times 3/7 = 15/56 so C
Round 91738 to the nearest ten thousand. Enter your answer in the box
below.
Answer here
Answer:
90,000
Step-by-step explanation:
Find the common difference of the arithmetic sequence.
9, 13, 17, 21, . ..
Step-by-step explanation:
4 is the common difference
Every dimension of a triangular pyramid is multiplied by 10 to produce a new figure that is geometrically similar. What effect does this have on
the surface area of the pyramid?
ОА
The surface area of the pyramid is multiplied by 10.
OB.
The surface area of the pyramid is multiplied by 50.
O C.
The surface area of the pyramid is multiplied by 100.
OD.
The surface area of the pyramid is multiplied by 1,000.
O E
The effect on the surface area cannot be determined.
A die is rolled 600 times with the following results: It landed on one—102 times, two—97 times, three—100 times, four—105 times, five—92 times. What is the empirical probability of rolling an odd number?
Answer:
-496 and the odd number between -97 and -105
given the point and slope write the equation of the line 9,-4; slope -2/3
5. Which statements describe supplementary angles?
SELECT ALL THAT APPLY
A Angles that add up to 90 degrees
B
Angles that add up to 180 degrees
C Opposite angles that are equal in measure
D Adjacent angles that form a line.
Answer:
B. Angles that add up to 180°
Step-by-step explanation:
I think that's the answer because supplementary angles add up to 180°
How do I graph -1, -4?
Answer:
Start at the origin and go to the left by one and go down by 4
Step-by-step explanation:
The x coordinate relates to the horizontal axis and the y axis refers to the vertical axis.
Before we start graphing we must always begin at the origin (0,0)
Since the x value is -1 we have to move left by 1 on the x axis
We would move to the left one value because negative is on the left side
For the y value, we would have to move 4 down on the y axis because this number is also negative.
So your graph should look like this
Hope this helps :)