Answer:
Let's suppose the next case:
We have a bag, where there are 5 red marbles, and 5 blue marbles.
We have a total of 10 marbles.
Suppose that we pick a marble and we do not replace it, and suppose that the first one is a red marble.
Then now we have in the bag a total of 4 red marbles and 5 blue marbles.
Now let's find the probability of picking a blue marble, this will be equal to the quotient between the number of blue marbles (5) and the total number of marbles (9)
P = 5/9
Now, suppose that instead of a red marble in the first pick, we had a blue marble.
Then now we have 4 blue marbles and 5 red marbles in the bag.
Again, the probability of picking a blue marble will be equal to the quotient between the number of blue marbles (4) and total numbergof marbles (9)
P = 4/9
Then the first pick does affect the probabilities for the second pick, this means that if we do not replace the first marble we pick, then the events will be dependent.
Now, if we replaced the first marble we picked (we put it again in the bag) then the number of blue marbles and red marbles is always the same, then in this case bot events will be independent (the first event will not affect the second event)
Determine the Value of x,y and z.
Answer:
x=9
y=16
z=12
Step-by-step explanation:
Write as a decimal. 7/18 If necessary, use a bar to indicate which digit or group of digits repeats.
Answer:
0.38888888888889
7 divided by 18
Step-by-step explanation:
Find the measure of FG.
Can someone help??
Answer:
28
Step-by-step explanation:
Side FG = Side DG. Therefore, 5x - 17 = 3x + 1, or 2x = 18, or x = 9.
If x = 0 then the length of side FG is 5(9) = 17, or 28.
please helppppppppppppppppppppppppppppp
Answer:
It is exponential
5 g of margarine contains 3.6 g
of fat.
How many grams of fat are
there in 82 g of margarine?
Answer:
59.04g of fat
Step-by-step explanation:
I) Figure out how much grams of fat is in 1g of margarine:
3.6 ÷ 5 = 0.72
II) Next, we can figure out how much fat is in 82 g of margarine:
0.72 × 82 = 59.04
One shot formula:
(3.6g ÷ 5g) × 82g = 59.04g
How do you solve 3x7x4 using parentheses
Answer:
84
Step-by-step explanation:
Answer:
either (3x7)x4 or (3)(7)(4)
Step-by-step explanation:
Use addition to solve the system of linear equations. Include all of your work in your final answer.
Answer: No solutions
Step-by-step explanation:
You can either use substitution or elimination
You can plug in y to the first equation to get x-(x-4)=6 to get 4=6 which is not possible so no solutions
Evaluate the expression 4x for x=5.
4x=
= when x = 5.
(Simplify your answer.)
Why is x = 6 a solution to the proportion 192/36 = 32/x ?
Because if 192/36 = 5.3333 and 32/6 = 5.3333 then the solution is right
Answer:
It is a solution because when you divide 192 by 36 you get 5 and one third. When you divide 32 by 6 you also get 5 and one third. This means they are equal.
Step-by-step explanation:
For a circle of radius 4 feet, find the arc lengeth, S subtened by a central angle of 26 degrees
Answer:
Exact answer = 26π/45 feet.
or we can write it as 1.815 feet to the nearest thousandth.
Step-by-step explanation:
The circumference of the circle = 2*4*π = 8π feet.
So the length of S = (26/360) * 8π
= 26π/45 feet.
Please show the solving
Step-by-step explanation:
YELLOW TRIANGLE:
[tex] \sin(30) = \frac{x}{12} \\ x = 12 \sin(30) = 6[/tex]
PURPLE TRIANGLE:
Since one of the angle is 45°, x = BC = 6
To prove:
[tex] \tan(45) = \frac{bc}{x} \\ bc = x \tan(45) = 6 \tan(45) = 6[/tex]
PINK TRIANGLE:
[tex] \tan(60) = \frac{bc}{y} \\ y = \frac{bc}{ \tan(60) } \\ = \frac{6}{ \tan(60) } \\ = 2 \sqrt{3} [/tex]
PLSSS HELP ME PLS THIS IS DUE TOMORROWW!!! will mark
PLZ HELP ILL GIVE BRAINLIEST PLZZZ
Answer:
8/9
Explanation:
2/9 x 4/1 = 8/9
At a restaurant, customers can order a hamburger, a cheeseburger, or a chicken sandwich as their main dish. With any of these main dishes they can order a side of french fries, onion rings or a salad . What is the total possible outcomes
A ball is thrown into the air from a height of 4 feet at time t=0. The function that models this situation is h(t)=-16t^2+63t+4. What will be the height of the ball after 2 seconds?
Answer:
66 feet
Step-by-step explanation:
We know that the t in the equation represents the time. So, substitute 2 for the t in the function and simplify to find the height after 2 seconds:
[tex]h(t) = -16t^2+63t+4\\h(2) = -16(2)^2+63(2)+4\\h(2) = -16(4)+126+4\\h(2) = -64 + 126+4\\h(2) = 66[/tex]
Thus, the height would be 66 feet.
A water tank contains 320 litres of water, correct to the nearest 10 litres. 50 litres of water, correct to the nearest litre, are removed from the tank. Calculate the upper bound of the amount of water left in the tank.
Answer:
[tex]N_l=270 litres[/tex]
Step-by-step explanation:
From the question we are told
Total litres of water [tex]N_t=320[/tex]
Total litres removed [tex]N_r=50[/tex]
Generally the Total litres left in the tank N_l is mathematically given as
[tex]N_l=N_t-N_r[/tex]
[tex]N_l=320-50[/tex]
[tex]N_l=270 litres[/tex]
Therefore the total water left in the tank is
[tex]N_l=270 litres[/tex]
For what values of x is the expression below defined?
2x2 + 5x
Answer:
9
Step-by-step explanation:
What is the equation, in point-slope form, of the line passing through the point (8, -3) with a slope of 5?
Ty decided to invest $600 in an account and was able to take out $670 from the account
after 8 years. The interest in the account was compounded continuously. What was the
interest rate for his account?
The interest rate for his account was r ≈ 1.375% .
Find the area of the circle. Round to the nearest tenth. Use 3.14 or 22/7 for pie.
5.6 cm
a. 98.5 cm2
b. 8.8 cm2
c. 24.6 cm2
d. 17.6 cm2
Answer:
98.5 cm2
Step-by-step explanation:
solve by factorizing x² + 8x + 15 + 0
Download
GET
Algebra
Factor
Factor the polynomial.
(
x
+
3
)
(
x
+
5
)
Tap to view FREE steps...
()|[]ó
789≤
456/^×>∩∪
123-+÷<π∞
,0.%=
Factor
x
2
+
8
x
+
15
+
0
Regroup terms.
x
2
+
0
+
8
x
+
15
Add
x
2
and
0
.
x
2
+
8
x
+
15
Factor
x
2
+
8
x
+
15
using the AC method.
Tap for fewer steps...
Consider the form
x
2
+
b
x
+
c
. Find a pair of integers whose product is
c
and whose sum is
b
. In this case, whose product is
15
and whose sum is
8
.
3
,
5
Write the factored form using these integers.
(
x
+
3
)
(
x
+
5
)
Answer:
(x+3)(x+5)
Step-by-step explanation:
helppp i need help on question 1) b and d
2) d and e
1. b) Factorise ➾ y² - 20y + 100
1. d) Factorise ➾ 48 - 13p - p²
2. d) Factorise ➾ 18y² - y - 4
2. e) Factorise ➾ 4m² - 27m + 18
Solutions:-1. b) y² - 20y + 100
⇝ y² - 10y - 10y + 100 ( Splitting middle term )
⇝ y ( y - 10 ) - 10 ( y - 10 )
⇝ ( y - 10 )(y - 10 ) Ans.
1. d) -p² - 13p + 48
⇝ -p² - 16p + 3p + 48 ( Splitting middle term )
⇝ -p ( p + 16 ) + 3 ( p + 16 )
⇝ ( p + 16 )(3 - p ) Ans.
2.d) 18y² - y - 4
⇝ 18y² - 9y + 8y - 4 ( Splitting middle term )
⇝ 9y ( 2y - 1 ) + 4 ( 2y - 1 )
⇝ ( 2y - 1 )( 9y + 4 ) Ans.
2.e) 4m² - 27m + 18
⇝ 4m² - 24m - 3m + 18 ( Splitting middle term)
⇝ 4m ( m - 6 ) - 3 ( m - 6 )
⇝ ( m - 6 )( 4m - 3 ) Ans.
HOPE IT CAN HELP U : )PLEASE HELP I DONT KNOW THIS
Answer:
Exponential Growth
Step-by-step explanation:
The function is increasing and not decreasing. Because the base is greater than 1, the equation represents exponential growth. If the base were to be less than 1, then it would represent exponential decay.
SIBLE POINTS
The perimeter of the larger rectangle is 2 meters greater than twice the perimeter of the smaller rectangle. What is the perimeter of the larger
rectangle?
3x - 1
x + 1
4x - 5
Х
Answer:
U equal them
Step-by-step explanation:
An divide
Зm — 5n = 11
what is this answer?
Step-by-step explanation:
mn=1/-2
i hope it helps you
(sat prep) find the value of x
Answer:
140 degrees
Step-by-step explanation:
Im only a freshman, but i think i got it, i just assumed that the other small part at the bottom was also 20 degrees, which would mean that you are missing the 140 degrees from the 180 degree line
Answer:
120 degrees
Step-by-step explanation:
The bottom part is 40 degrees,
the two lines are parallel, so theoretically, you can just put them together. Then using vertical angles, you can tell it's 40 degrees.
40 + 20 = 60
180-60 degrees is 120 degrees.
Splitting investments. Joan had $3,000 to invest. She invested part of it in an investment paying 8% and the remainder in an investment paying 10%. If the total income on three investments was $290, than how much did she invest at each rate?
Answer:
Step-by-step explanation:
From the given information:
Let assume that the invested amount in the investment paying 8% interest is a
Now, since the total amount invested = $3000.
Then, the amount invested in the investment that will be paying 10% interest can be represented as:
= $(3000-a)
Income earned on $a that is being invested in 8% interest = $a × 8/100 = $0.08a
Income earned from $(3000-a) in the 10% investment is:
= $(3000-a)× 10/100
= $(300 - 0.1a)
Since total income of the two investment = $290;
Then;
0.08a + (300 - 0.1a) = 290
0.08a + 300 - 0.1a = 20-
300 - 0.02a = 290
-0.02a = -10
a = -10/-0.02
x = 500
Thus;
the amount invested in an investment paying 8% interest = $500
the amount invested in an investment paying 10% interest = $(3000 - 500) = $2500
Richmond High School has 1900 students and is shrinking by 15 students per year. Write a rule that represents the population at Richmond High School. Let x represent years and y represent population.
Answer:
y = -15x + 1900
Step-by-step explanation:
This is correct because, your base number is 1500, so that is your y-intercept. The school's population is shrinking by 15 students per year so, that becomes your slope. Hope I helped. ;)
3. Fill the blanks to make the equivalent ratios. :9 = 10: 45 a. b. : 3 = 3:9
Answer:
:/
Step-by-step explanation:
find the zero of the following function: f(x)=2/3(x)+6