Answer:
Dependent Event
Step-by-step explanation:
Dependent Events: Two events are dependent when the outcome of the first event influences the outcome of the second event. The probability of two dependent events is the product of the probability of X and the probability of Y AFTER X occurs.
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You deposit $1200 in an account that earns simple interest. After 42 months, the account earns $96.60 in interest. What is the annual interest rate
to the nearest tenth of a percent?
A. 0.8%
O B.2.3%
C.35.0%
D. 1.0%
Answer:
interest rate= interest earned multiply 100% then divide by the amount and time
R=I/Pt
I=96.60$, P=1200$, t=42/12=3.5
R= 96.60×100%/1200×3.5
=2.3%
The expression above can also be written in the form a=, b=,c=. 3 6/5
The expression above can also be written in the form .
For this expression, a =
, b =
, and c =
.
The value of a, b, and c are 3, 6, and 5 respectively because we can write the provided expression as ⁵√(3)⁶
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have:
[tex]\rm = 3^{\dfrac{6}{5}}[/tex]
We can write it as:
[tex]\rm = \sqrt[5]{3^6}[/tex]
The value of a = 3,
The value of b = 6, and
The value of c = 5
Thus, the value of a, b, and c are 3, 6, and 5 respectively because we can write the provided expression as ⁵√(3)⁶
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Which of the following expressions is true?
2^4•2^4>2^7
3^2•3^6=3^7
4^3•4^5<4^8
5^2•5^3=5^6
Answer:
2^4•2^4>2^7
Step-by-step explanation:
Hope it helps you in your learning process.
a song has 12 beat in 5 second . how many beats are in 30 seconds
help asap please!! <3
Answer:
3/2 or 1.5
Step-by-step explanation:
Finding the gradient
gradient (m) = y₂ - y₁ / x₂ - x₁m = 5 + 1 / 4 - 0m = 6/4m = 3/2 or 1.5Answer:
gradient = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
calculate the gradient (slope) m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 1 ) and (x₂, y₂ ) = (4, 5 )
m = [tex]\frac{5-(-1)}{4-0}[/tex] = [tex]\frac{5+1}{4}[/tex] = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex]
whats the answer for this qusten
Answer:
The speed i total is 750 meters per second
Step-by-step explanation:
9000/12 = 750
& this one, please and thank you!!
[tex]\text{Given that,} ~ p(x) = x^2 -5~ \text{and}~ h(x) = \sqrt{x+5}\\\\(p\circ h)(x)\\\\=p(h(x))\\\\=p\left( \sqrt{x+5} \right)\\\\=\left( \sqrt{x+5} \right)^2 -5\\\\=x +5-5\\\\=x[/tex]
What is 6 3/4 % of $7,600.00
A. 513
B. 520
C. 456
D. 479.25
E. 550
Answer:
A 513
Step-by-step explanation: is your answer
Hope this helps :)
One winter day, the temperature at noon was -9f The temperature then rose by 1/2 degree each hour for 3 hours before dropping by 2 1/4 degrees each hour for 2 hours. What was the temperature, in degrees Fahrenheit, at 5 PM?
Answer:
The temperature at 5 PM was - 12°FStep-by-step explanation:
One winter day, the temperature at noon was -9°F.
The temperature then rose by 1/2 degree each hour for 3 hours:
1/2 × 3 = 3/2 = 1 1/2The temperature then dropped by 2 1/4 degrees each hour for 2 hours:
- 2 1/4 × 2 = - 4 2/4 = - 4 1/2Now add up all three values to find the final value:
- 9 + 1 1/2 - 4 1/2 = - 9 + 1 - 4 = - 127. Use the quadratic formula to find the solution(s). x² + 2x - 8 = 0
Answer:
x = 2, - 4
Step-by-step explanation:
The factors of 8 are:
1, 8
2, 4
You can combine 2 and 4 to create 2.
( x - 2 ) ( x + 4 ) = 0
0 can either be x - 2 or x + 4
Therefore, x = 2 or - 4
Hey there!
Use the quadratic formula to find the solution(s). x² + 2x - 8 = 0
Answer :x = -4 or x = 2 ✅
Explanation :Quadratic formula : ax² + bx + c = 0 where a ≠ 0
The number of real-number solutions (roots) is determined by the discriminant (b² - 4ac) :
If b² - 4ac > 0 , There are 2 real-number solutionsIf b² - 4ac = 0 , There is 1 real-number solution.If b² - 4ac < 0 , There is no real-number solution.The roots of the equation are determined by the following calculation:
[tex]x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]
Here, we have :
a = 1b = 2c = -81) Calculate the discriminant :
b² - 4ac ⇔ 2² - 4(1)(-8) ⇔ 4 - (-32) ⇔ 36
b² - 4ac = 36 > 0 ; The equation admits two real-number solutions
2) Calculate the roots of the equation:
▪️ (1)
[tex]x_1 = \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} \\ \\ x_1 = \frac{ - 2 - \sqrt{36} }{2(1) } \\ \\ x_1 = \frac{ - 2 - 6}{2} \\ \\ x_1 = \frac{ - 8}{2} \\ \\ \blue{\boxed{\red{x_1 = -4}}}[/tex]
▪️ (2)
[tex]x_2 = \frac{ - b + \sqrt{ {b}^{2} - 4ac } }{2a} \\ \\ x_2 = \frac{ - 2 + \sqrt{36} }{2(1)} \\ \\ x_2 = \frac{ - 2 + 6}{2} \\ \\ x_2 = \frac{4}{2} \\ \\ \red{\boxed{\blue{x_2 = 2}}}[/tex]
>> Therefore, your answers are x = -4 or x = 2.
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7. Find the L.C.M of 24,15 and 16
Answer:
240
Step-by-step explanation:
Step 1 : Prime factorize the given terms.
24 = 3 x 8 = 3 x 2³15 = 3 x 516 = 4 x 4 = 2⁴Step 2 : Out of the factors of all terms, take the factors with the highest power of different bases and multiply.
⇒ LCM (24, 15, 16) = 2⁴ x 3 x 5
⇒ LCM = 16 x 15
⇒ LCM = 240
Select the correct answer. which expression is equivalent to the given expression? assume the denominator does not equal zero. a. b. c. d.
The expression that is equivalent to the expression, [tex](\frac{4m^5n^2}{m^2n} )^3[/tex] is the expression, [tex]64m^9n^3[/tex].
What are Equivalent Expressions?If two expressions are equivalent to each other, it means the value of each of them are the same when simplified or evaluated in their simplest form.
Given the expression,
[tex](\frac{4m^5n^2}{m^2n} )^3[/tex]
Evaluate the expression in its simplest form
[tex](\frac{4m^5n^2}{m^2n} )^3 = (4m^3n^1)^3[/tex]
Multiply the exponents in the bracket by the one outside, then find the cube of 4.
[tex]64m^9n^3[/tex]
Therefore, [tex](\frac{4m^5n^2}{m^2n} )^3[/tex] is equivalent to [tex]64m^9n^3[/tex].
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20 ÷ (5x2/5) + 3 help please
Answer:
13
Step-by-step explanation:
hey take a deep breath! you got this!
it's really simple if you use the format PEMDAS
P- parentheses
E-exponents
M-Muliplication
D-divison
A-addition
S-subtraction
or mostly used
P
E
M or D
A or S
(depends from which side just start Ex 2-1+8 you wouldn't do the plus first but the subtraction because we're going left to right. If it's 2x8-6+10 then we do multiplication first cause that step comes first, the minus then addition! hope that isn't to confusing!)
ok so our equation is 20÷(5x2/5)+3
whats our first step? remember PEMDAS!
Its Parenthesis! so first we do the equation (5x2/5)
since multiplication and division are in the same "category" we go left to right
so first we do 5x2=10 and then we do 10/5 which is equal to 2!
ok now we add back the rest of our equation!
20÷2+3 since we already solved the Parenthesis
now what come first? division or addition?
its division because.. once again... PEMDAS!!
So now we do 20÷2 which is equal to 10!
now whats left is to add 3!
and 10+3 is equal to .... 13!!!
I know it seems like a lot but you'll get the hang of it! just take it easy and take your time :)
Describe how to identify the lines of symmetry in the shape below.
The sum of two numbers is 40 and the difference is 8. What are the numbers?
Answer:
24 and 16.
Step-by-step explanation:
They both are in between the sum of the two numbers.
please help me!
Will give you points
Answer: Horizontal means going through something like mainly through the middle, and verticle are the posts going up and down through the fence. All you have to do is combine them in figure 2 and slot them down in the boxes. Hope this helps <3
Step-by-step explanation:
Please help me with this. Brainliest for right answer
Answer:
40
Step-by-step explanation:
can someone help me with this problem? Thank you!
In order to find the answer, we need to multiply 15 x 12 then find the exponent based on the object shape (2D/3D).
15 x 12 = 180.
If the object is 2D, the exponent is 2 (squared). If the object is 3D, the exponent is 3 (cubed). We can tell that the object is 2D, so the exponent is 2.
The answer is 180^2, or 180 squared.
I was hoping that you'd give me Brainiest as I'm trying to rank up. If you want to, please do!
Answer:
The answer is 180 squared.
Step-by-step explanation:
Happy to help!
The midpoint of overline AB is M(-4, 0)M If the coordinates of A are (-6, 6) what are the coordinates of B?
Answer:
(-2, -6)
Step-by-step explanation:
Equating A and B to the Midpoint (M) :
(-4, 0) = (-6 + x / 2, 6 + y / 2)Equations formed :
-6 + x / 2 = -4-6 + x = -8x = -22. 6 + y / 2 = 0
6 + y = 0y = -6Midpoint : (x , y)
(-2, -6)A baby is born weighing 120 ounces. At 1 year, the same baby weighs 14 pounds. How many pounds did the bay gain?
A car with a cost price of $5200 is
sold at a profit of 15%. Calculate the
selling price
Answer:
We are given the initial price of a car and we are also told that the car sold for a 15% profit which means that the price that the car was sold for is 15% more than it's initial price. This is just a simple multiplication problem which we multiply the initial price by the total percentage plus 0.15
[tex]Sold\ Price = Initial\ Price *(Total\ Percentage+Profit\ Percentage)[/tex]
[tex]Sold\ Price = \$5200*(1+0.15)[/tex]
[tex]Sold\ Price = \$5200*(1.15)[/tex]
[tex]Sold\ Price = \$5980[/tex]
Therefore, our final answer is that the selling price was $5980
Hope this helps!
A tank is 1/2 filled with water. some of the water is then poured into 8 small containers each with a capacity of 27 cubic centimeters. the tank is now 1.4 full. what is the capacity of the tank.
The capacity of the tank is 240 cm³.
What is capacity?Capacity means the volume of a solid shape.
To calculate the capacity of the tank, we use the formula below.
Note: When the water from the 8 small containers is poured into the tank that was initially half full, becomes 1.4 full that means the water from the 8 small containers fills the tank 0.9
Formula:
V = (8×27)/0.9............... Equation 1Where:
V = Volume or capacity of the tankSolve for V
V = 240 cm³.Hence, the capacity of the tank is 240 cm³.
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Scott sells beaded necklaces. Each large necklace sells for $6.20 and each small necklace sells for $4.70. How much will he earn from selling 1 large necklace and 3 small necklaces?
Answer:
$20.13
Step-by-step explanation:
$4.70x3=$14.10+$6.20 = $20.13
What is the median?
767
-765
767
769
769
-770
-767
768
sumbit
Answer:
767
Step-by-step explanation:
A farmer has hens, this hen composes 2500 eggs every month. A farmer has 2500 eggs a month, 25% of these eggs are sold in restaurant. How much is the total number of eggs sold in the restaurant, if 35 eggs are sold in the restaurant.
Answer:
625 eggs are sold in a restaurant
2500-100%
x- 25%
62500=100x
x=625 eggs
Answer:
21875
Step-by-step explanation:
25% x 35 x 2500
= 0.25 x 35 x 2500
=21875
Dalia has a jar with 6 red pencils and 4 green pencils. She will randomly pick two pencils without replacement. What is the probability that Dalia will pick two red pencils?
6/25
1/3
9/25
2/5
The probability that Dalia will pick two red pencils without replacement is 1/3.
What is the probability?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
Probability of picking two red pencils = 6/10 x 5/9 = 1/3
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ladder reaches a window 18 ft high,
and makes a 64 angle with the
ground. How long is the ladder?
Round your ancun
Using trigonometric ratio, the length of the ladder that reached the window is 20.03 feet
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let l represent the length of the ladder, using trigonometric ratio:
sin(64) = 18/l
l = 20.03 feet
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Using the equation, y=5x²−17x −12, determine the roots.
A) (-4, 0) and (0.6, 0)
b) (-4, 0) and (-0.6, 0)
c) (4, 0) and (-0.6, 0)
d) (4, 0) and (0.6, 0)
Answer:
c
Step-by-step explanation:
y = 5x² - 17x - 12
to find the roots let y = 0 , that is
5x² - 17x - 12 = 0
Factorising the quadratic
consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 5 × - 12 = - 60 and sum = - 17
the factors are - 20 and + 3
use these factors to split the x- term
5x² - 20x + 3x - 12 = 0 ( factor first/second and third/fourth terms )
5x(x - 4) + 3(x - 4) = 0 ← factor out (x - 4) from each term
(x - 4)(5x + 3) = 0
equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
5x + 3 = 0 ⇒ 5x = - 3 ⇒ x = - [tex]\frac{3}{5}[/tex] = - 0.6
roots are (4, 0 ) and (- 0.6, 0 )
estimate the perimeter and the area of the shaded figure to the nearest whole number
Answer:
See below ~
Step-by-step explanation:
Perimeter
2(6 + 8)2(14)28 unitsArea
2(4 x 2) + 2(8)4(8)32 square unitsSolve the following linear equation: 6(x-3)=18
Answer:
x=6
Step-by-step explanation:
6(x-3)=18
Then divide both sides by 6
x-3=3
Add 3 to both sides
x=6
Answer:
x = 6
Explanation:
6(x-3) = 18use distributive property: a(b + c) = ab + ac
6x - 18 = 18change sides
6x = 18 + 18add integers
6x = 36divide both sides by 6
x = 6