Answer: 54%
Step-by-step explanation:
In probability and logic theory, two events are said to be mutually exclusive or disjoint when both events cannot occur or happen at the same time.
A clear example of mutually exclusive event is the set of outcomes of a single toss of a coin which can either result in heads or tails, but can not be both.
P(S) = 30%, and P(T) = 24%
P(S or T) = P(S) or P(T) = 30% + 24%
= 54%
What is the length of a diagonal of a cube with a side length of 1 cm?
StartRoot 2 EndRoot cm
StartRoot 3 EndRoot cm
StartRoot 4 EndRoot cm
StartRoot 5 EndRoot cm
Answer:
The answer is 3cm
Step-by-step explanation:
The length of a diagonal of a cube with a side length of 1 cm is,
⇒ √3 cm
What is mean by Multiplication?Multiplication means to add number to itself a particular number of times. Multiply will be viewed as a process of repeated addition.
Given that;
A side length of cube is,
⇒ 1 cm
We know that;
The length of a diagonal of a cube with a side length of a cm is,
⇒ d = √3 × a
Here, a = 1
Hence, The length of a diagonal of a cube with a side length of 1 cm is,
⇒ d = √3 × 1
⇒ d = √3 cm
Learn more about the multiplication visit:
https://brainly.com/question/10873737
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f(n)=93+4(n-1) Complete the recursive formula of f(n)
Answer:
f(1) = 93
f(n) = f(n - 1) + 4
Step-by-step explanation:
The recursive formula for an arithmetic sequence is given as:
f(1) = a
f(n) = f(n - 1) + d
where a = first term and d = common difference
An arithmetic sequence is in the form:
f(n) = a + d(n - 1)
where a = first term and d = common difference
The common difference in f(n) = 93 + 4(n-1) is 4.
The first term is 93.
The recursive formula is therefore:
f(1) = 93
f(n) = f(n - 1) + 4
Answer:
f(1)=93
f(n)=f(n-1)+4
Step-by-step explanation:
As you can see in the picture, the initial value is 93, which is why it's the first part of the equation. The 4 is multiplying the (n-1) part in the equation and as we complete the recursive formula of N, you have to put the numbers in the correct order.
He randomly selects a sample of 200 Darwin households. Forty households prefer the new package to all other package designs. The point estimate for this population proportion is
Answer: The point estimate for this population proportion is 0.2
Step-by-step explanation:
The point estimate for this population proportion is also referred to as the sample proportion. This is also known as the probability of success, p. The formula for determining p is expressed as
p = x/n
Where
n represents the number of samples
x represents the number of success
From the information given,
n = 200
x = 40
p = 40/200 = 0.2
A triangle has a base length of (2x - 4) units and a height of (x + 5) units. Write and solve a quadratic equation to determine what value of x gives the triangle an area of 44 square units.
Answer:
x=6
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh
44 = 1/2 (2x-4)(x+5)
Multiply the 1/2 time (2x-4)
44 = (x-2) (x+5)
FOIL
44 = x^2 +5x -2x-10
Combine like terms
44 = x^2 +3x -10
Subtract 44 from each side
0 = x^2 +3x -10-44
0 = x^2 +3x -54
Factor
What two numbers multiply to -54 and add to 3
9*-6 = -54
9+-6 = -3
0 = (x+9)(x-6)
Using the zero product property
x +9 =0 x-6 =0
x = -9 x = 6
The height cannot be negative so x cannot be -9
x=6
Pretty please for a homie
Can someone pls answer this if u do then I love u
Answer:I think it’s a
Step-by-step explanation:
Question 2 Please help. Find the arc length for the following:
Answer:
The answer is 9.4 units.
Which formula(s) can be used to find the nth partial sum of a geometric sequence or the sum of the first n terms of a geometric series?
Step-by-step explanation:
An=A1. R raised to the power n-1
Please help meee for this equation
Answer:
9 (C)
Step-by-step explanation:
sqrt(15^2 - 12^2) =
sqrt(225 - 144) =
sqrt(81) =
9 (C)
Answer:
C. 9m
Step-by-step explanation:
Using the pythagorean theorem, you can find that the length of the last side is [tex]\sqrt{15^2-12^2}=\sqrt{225-144}=\sqrt{81}=9[/tex]. Hope this helps!
The value of the expression 16 -2/4 is ______.
Answer:
8
Step-by-step explanation:
2/4 is equal to a half,so half of 16 is 8 so,you would do
16-8=8
The measure of a straight angle (2x+50) (6x+2)
Answer:
see below
Step-by-step explanation:
If the two angles form a straight angle, their sum is 180
2x+50 + 6x+2 = 180
Combine like terms
8x +52 = 180
Subtract 52 from each side
8x+52-52 = 180-52
8x =128
divide each side by 8
8x/8 = 128/8
x =16
2x+50 = 2(16)+50 = 32+50 = 82
6x+2 = 6(16)+2 =96+2 = 98
Brianna and Ava go to the movie theater and purchase refreshments for their friends. Brianna spends a total of $39.00 on 2 bags of popcorn and 2 drinks. Ava spends a total of $174.50 on 8 bags of popcorn and 10 drinks. Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink. Using these equations, determine and state the price of a drink, to the nearest cent.
Answer:
2p + 2d = 39 ____________(1)
8p + 10d = 174.50 _________(2)
Price of one drink is $9.25
Step-by-step explanation:
Let the price of a bag of popcorn be p.
Let the price of a drink be d.
Brianna spends a total of $39.00 on 2 bags of popcorn and 2 drinks. This implies that:
2p + 2d = 39 ____________(1)
Ava spends a total of $174.50 on 8 bags of popcorn and 10 drinks. This implies that:
8p + 10d = 174.50 _________(2)
We now have two system of equations which we can use to find the price of a bag of popcorn and drink:
2p + 2d = 39 ____________(1)
8p + 10d = 174.50 _________(2)
Multiply (1) by 4 subtract from (2):
8p + 10d = 174.50 _______(2)
- 8p + 8d = 156 __________(1)
2d = 18.50
=> d = $9.25
The price of one drink is $9.25
The question on the bottom
Answer:
9th grade student=33.3%, unit 7=45%
Step-by-step explanation:
What happens if b = 0 in the general exponential function() = a
b
?
Answer:
It stays a zero or it turns into whatever the b or a is
Step-by-step explanation:
The graph of f(x)= x is translated 3 units down to form the graph of g(x). Which of the following is g(x)
Answers :
A: g(x)= -3x
B: g(x)= 3x
C: g(x)= x - 3
D: g(x)= x + 3
Answer:
I'll edit the answer and try to answer it, but where is the graph?
Answer:
C: g(x)= x- 3
Step-by-step explanation:
translated 3 units down means you go 3 down on the y-axis. Therefore it is g(x)= x-3
A dolphin jumped up out of the water and back into the water in a parabolic path. (H) height (t) seconds . H=-8(t-0.5)^2+2 . How long will the dolphin be in the air?
Answer:
4 seconds
Step-by-step explanation:
using the vertex formula of a quadratic,
[tex]a(x-h)^{2} + k[/tex], where (h,k) is the vertex
[tex]h = -8(t-0.5)^{2}+2[/tex] h is height and t is time in seconds
the vertex (maximum height) of the dolphin is (h,k) or (0.5, 2)
Height of 1/2
time of 2 seconds
it will take 2 additional seconds to reach the water again.
this can also be solved using quadratic equation, but since it was already set up in vertex form, i'd use that.
Please I need help with this one
Answer:
$0.60
Step-by-step explanation:
Write the explicit formula for the sequence.
2, 4, 6, 8, 10, ...
Answer:
a(n) = 2 + 2(n - 1)
Step-by-step explanation:
Since each new term is derived from the previous term by adding 2, this is an arithmetic sequence, and the "common difference" is 2.
Then a(n) = 2 + 2(n - 1)
2. Which situation leads to a unit cost of $4 per football ticket? (Hint: Find Unit Rate of Each)
A. $6 paid for 2 football tickets
B. $8 paid for 4 football tickets
C. 6 football tickets for $24
D. 10 football tickets for $50
Answer:
C
Step-by-step explanation:
A. 6/2=3
B. 8/4=2
C. 24/6= 4
D. 50/10=5
Two boats started to move towards each other from two boat stations, located 30 miles apart. One boat moved at a speed of 3 miles per hour, the other moved twice as fast. How soon will the boats meet?
Answer:
The boats will meet in 3.33 hours.
Step-by-step explanation:
The position of each boat can be modeled by a first order equation.
I am going to say that the first boat is at the position 0, and moving in the positive direction with a speed of 3 miles per hour. So
[tex]A(t) = 0 + 3t[/tex]
They are moving in oppositie directions, and initially are 30 miles apart. This means that the second boat starts at the position 30, and moves in the negative direction at the rate of 6 miles an hour. So
[tex]B(t) = 30 - 6t[/tex]
How soon will the boats meet?
This is t when:
[tex]A(t) = B(t)[/tex]
[tex]3t = 30 - 6t[/tex]
[tex]9t = 30[/tex]
[tex]t = \frac{30}{9}[/tex]
[tex]t = 3.33[/tex]
The boats will meet in 3.33 hours.
help plssssssssssssssssss
Answer:
80
Step-by-step explanation:
BECAUSE ON THE BOX PLOT ON HOW IT IS LOOK AT THAT LAST LINE AND LOOK HOW FAR IT GOES THATS HOW MUCH IT WOULD BE
BRAINLEST PLEASEWhat type of correlation is shown by the graph?
Answer: Positive correlation
Step-by-step explanation:
As you go up and along the graph the values go up.
Both have to be increasing basically.
100 PTS:Please help me now plz plz
Answer:
x = 12
Step-by-step explanation:
We have a right triangle with hypotenuse 10 and the height 8. Either the one on the left or the one on the right
We can find the base using the Pythagorean theorem
a^2 + b^2 = c^2
a^2 +8^2 = 10^2
a^2 +64 = 100
Subtract 64 from each side
a^2 = 100 -64
a^2 = 36
Take the square root of each side
a = 6
Now a is 1/2 of the total base of the big triangle. It is identical since the triangles are equal
x = 2 * a
x = 2*6 = 12
Answer:
x = 12
Step-by-step explanation:
Consider the right angle triangle with
base: x/2
height: 8
hypotenuse: 10
Using pythagoras theorem
10² = 8² + (x/2)²
(x/2)² = 100 - 64
(x/2)² = 36
x/2 = 6
x = 12
Ethan has partially filled the prism with 8 unit cubes. How many more cubes does he need to fill the prism completely A:10 B:15 C:19 D:21 Help me please!!!???!
Corrected Question
Ethan has partially filled the prism with 8 unit cubes.
A rectangular prism with length, height, and width of 3.
How many more cubes does he need to fill the prism completely?
Answer:
(C)19
Step-by-step explanation:
First, we determine the volume of the rectangular prism
Volume of a rectangular prism = Length X Height X Width
=3 X 3 X 3=27 cubic units
Volume of the Cube=1 cubic unit
The number of unit cubes that will fill the rectangular prism = 27
Ethan has partially filled the prism with 8 unit cubes, we subtract 8 from 27 to determine the number left to fill the prism
27-8=19.
Therefore, Ethan will need 19 more cubes to fill the rectangular prism.
The correct option is C
Help me it’s urgent
Answer:
∠GHJ and ∠IHJ
Answer:
[-10, 10]
This is an absolute value problem and numbers within the brackets are always seen as positive. [-10] = 10 and [10] = 10
Step-by-step explanation:
Determine the measure of the named angle below.
mZK
K
40°
Step-by-step explanation:
Bro this problem cannot be solved. No solutions. I need at least one more angle or the type of triangle it is. Like iscoceles or scalene, or equilateral. Pls give me that info and then I can solve it for u
Could some one plz help me with this question
P.S ignore the answer choices their wrong
25 Points
Answer:
A
Step-by-step explanation:
The formula for this type of interest is [tex]A=P(1+\frac{r}{n})^{nt}[/tex], where A is the total amount, P is the initial investment, x is the interest rate, n is the amount of times that the investment is compounded a year, and t is the amount of years. Plugging in the numbers given, you get:
[tex]A=1800(1+\frac{0.025}{2})^{2\cdot 12}=[/tex]
[tex]1800(1.0125)^{24}\approx 2425.23[/tex]
Now, she invests this into a new account, and you can set up the following equation:
[tex]A=2425.23(1+\frac{0.04}{12})^{12\cdot 7}=[/tex]
[tex]2425.23(1.0033333)^{84}\approx 3207.40[/tex], or option A.
Hope this helps!
Given that P(A)=0.5 and P(A and B)=0.4, if A and B are independent events, what is the probability of event B?
0.2
0.1
0.8
0.9
Answer:
0.8
Step-by-step explanation:
Which points are Coplanar and noncollinear. ?
Answer:
Non-collinear points: These points, like points X, Y, and Z in the above figure, don't all lie on the same line. Coplanar points: A group of points that lie in the same plane are coplanar. Any two or three points are always coplanar. Four or more points might or might not be coplanar.
Step-by-step explanation:
What is the value of 98.84 divided by 14?
Answer:
7.06
Step-by-step explanation
i just searched for calculator put in the problem
Hope that helps :)