Answer:
1/27
Step-by-step explanation:
The outcomes when rolling a die are 1,2,3,4,5,6
getting less than 3 = 1,2
P( less than 3) = outcomes of less than 3 / total
= 2/6 = 1/3
Since the events are independent we can multiply the probabilities
P( less than 3, less than 3, less than 3) = 1/3 * 1/3*1/3 = 1/27
Daphne borrows $2500 from a financial institution that charges 6% annual interest, compounded monthly, for 2 years. The amount that Daphne will need to pay back at the end of the term is
please help
solve (4-w)(5w+3)=0
Answer:
4=w w = -3/5
Step-by-step explanation:
(4-w)(5w+3)=0
Using the zero product property
4-w = 0 5w+3 =0
4 =w 5w= -3
4=w w = -3/5
Answer:
4 & -3/5
Step-by-step explanation:
the "trick" is to set each factor = to zero
4-w = 0
w = 4
~~~~~~~~~~~
5w + 3 = 0
5w = -3
w=-3/5
An 8 Foot ladder leans against a building. I'd the ladder makes an angle of 60° with the ground, how far up the wall does the ladder reach? Also, how far from the building is the base of the ladder? round to the nearest 10th
9514 1404 393
Answer:
up the wall: 4√3 ft ≈ 6.9 ftalong the ground: 4 ftStep-by-step explanation:
The side ratios in a 30°-60°-90° triangle are 1 : √3 : 2. Since the hypotenuse of this triangle is 8 feet, the multiplier of these ratio values is (8 ft)/2 = 4 ft.
The triangle sides are ...
4 ft : 4√3 ft : 8 ft
The ladder reaches 4√3 ≈ 6.9 ft up the wall. Its base is 4 ft from the building.
can someone help me figure out how much my final exam is weighted?
in the grade book there are:
6 assignments for 10 points each
52 assignments for 20 points each (it’s not a typo i promise there was actually 52)
5 assignments for 30 points each
5 assignments for 40 points each
and 1 assignment for 60 points (aka the final exam)
my grade is an average of all of these different assignments combined. How much is my exam weighted- can you even calculate this? (i just want to know so i can see what score i need to get to pass with an a)
Answer:
About 4%
Step-by-step explanation:
6x10=60
52x20=1040
5x30=150
5x40=200
1x60=60
Total Points available:1510
Final Exam is 60 points
60/1510=0.0397
The foot of a ladder is placed 10 feet from a wall. If the top of the ladder rests 13 feet up on the wall, find the length of the ladder.
What is 4 1⁄2 cm in millimetres
Answer:
the answer is 205 millimeters
Answer:
205 millimeters.
Step-by-step explanation:
just is
Phythagorean theorem help plsss
Answer:
95cm
Step-by-step explanation:
c²=76²+57²
c²=5776+3249
√c²=√9025
c=95
I hope this helps
A company has 500 computers that are used by its employees. A sample of 40 of these computers finds that 12 of them require an update to the printer driver. What is the best estimate of the percent of the company's computers that require an update to the printer driver
Answer:
I think the answer might be 30%
Step-by-step explanation:
The best estimate of the percent of the company's computers that require an update to the printer driver is 30%.
What is unitary method?It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
According to the question
A company has 500 computers that are used by its employees. A sample of 40 of these computers finds that 12 of them require an update to the printer driver.
Using unitary method,
[tex]\frac{40}{12} =\frac{500}{x}[/tex]
Where x is the best estimate of the number of the company's computers that require an update.
x = [tex]\frac{12.(500)}{40}[/tex]
x = 150
To convert it into percentage,
[tex](\frac{150}{500} ).100[/tex]
= 30 %
Hence, the best estimate of the percent of the company's computers that require an update to the printer driver is 30%.
Find out more information about unitary method here
https://brainly.com/question/22056199
#SPJ3
Which number line shows the solution set for StartAbsoluteValue 8 minus 2 p EndAbsoluteValue = 6?
A number line going from negative 1 to positive 7. Points are at positive 1 and positive 7.
A number line going from negative 4 to positive 4. Points are at negative 1 and positive 1.
A number line going from negative 8 to positive 8. Points are at negative 7 and positive 7.
A number line going from negative 7 to positive 1. Points are at negative 7 and positive 1.
Answer:
A number line going from negative 1 to positive 7. Points are at positive 1 and positive 7.
Step-by-step explanation:
We have the equation:
|8 - 2*p| = 6
Remember that the equation:
|f(x)| = A
with A > 0
means that:
f(x) = A
or
f(x) = -A
Then for our case, we can rewrite:
|8 - 2*p| = 6
as:
(8 - 2*p) = 6
or
(8 - 2*p) = -6
Now we can solve these two equations to find the two possible values of p.
From the first one, we get:
8 - 2*p = 6
8 - 6 = 2*p
2 = 2*p
2/2 = p = 1
so one solution is p = 1
Now from the other equation, we can get the other solution:
(8 -2*p) = -6
8 - 2*p = -6
8 + 6 = 2*p
14 = 2*p
14/2 = p = 7
So the two solutions are p = 1 and p = 7
Then the correct option is:
"A number line going from negative 1 to positive 7. Points are at positive 1 and positive 7."
Find the missing segment in the image below
Answer:
15/5=?/8
Step-by-step explanation:
3=?/8 ?=24 it can help you
Consider the following function.
Place the steps for finding f -1(x) in the correct order.
↓
↓
↓
↓
Answer:
if f(x) = ax + b then f-1(x) = (x - b)/a
Step-by-step explanation:
Now
f(x)=ax + b
then y = ax + b
interchanging x and y , we get
or, x = ay + b
or, x - b = ay
or, (x - b)/a = y
therefore,f-1(x) = (x - b)/a
Someone help me with this
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow (side)4[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow 4(10)[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow 40km[/tex]
Height=9.4km[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow Surface\:Area=Perimeter\times Height[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow Surface\:Area=40(9.4)[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow Surace\:Area=384m^2[/tex]
e Reasons Y...
SIVARI Leaming su...
Solve for 2. Round to the nearest tenth, if necessary.
х
K
J
63°
I
PLS HELP
Answer:
x = .5
Step-by-step explanation:
Since we have a right triangle, we can use trig functions
tan theta = opp / adj
tan 63 = 1/x
x tan 63 = 1
x = 1/ tan 63
x=0.50952
Rounding to the nearest tenth
x = .5
What is the value of 4x2 + 5x - 8, if x = 3?
Answer: 43
Step-by-step explanation:
Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
**Disclaimer** I assume that the expression is [4x² + 5x - 8]. If it was, then you may refer to my answer. If it was not, then you may point it out and I will redo it.
Given
4x² + 5x - 8
x = 3
Substitute the value of x
4(3)² + 5(3) - 8
Simplify exponents
4(9) + 5(3) - 8
Simplify multiplication
36 + 15 - 8
Final subtraction and addition
43
Hope this helps!! :)
Please let me know if you have any questions
The domain for f(x) and g(x) is the set of all real numbers.
Let f(x) = x2 + 1 and g(x) = 3x.
Find f − g.
A.
x2 + 3x + 1
B.
x2 + 3x
C.
3x3 + 3x + 1
D.
x2 − 3x + 1
Answer:
D
Step-by-step explanation:
(f-g)(x) = x^2+1-3x= x^2-3x+1
Find the midpoint of the segment with the following endpoints.
(-8, 7) and (0,1)
Answer:
(-4,4)
Step-by-step explanation:
To find the x coordinate of the midpoints, add the x coordinates of the endpoints and divide by 2
(-8+0)/2 = -8/2 = -4
To find the y coordinate of the midpoints, add the y coordinates of the endpoints and divide by 2
( 7+1)/2 = 8/2 =4
(-4,4)
help me fast pleaseee
Answer:
A
Step-by-step explanation:
The answer is A. Answered by Gauthmath
what is the answer to 8= −6+x
Answer:
x = 14
Step-by-step explanation:
add 6 to both sides:
8+6 = 6-6+x
14 = x
x = 14
If Rs 42,000 is left after paying an income tax at the rate of 30%.Find the income
Answer:
Total income is 60,000
Step-by-step explanation:
I. if paid rate is 30%, that's mean 42,000 is 70%
II. Perform ratio 70/100 = 42,000/x
70*x = 100 * 42,000
70x = 4,200,000
x = 60,000
III. If you perform 30/100 = x/60,000 will be 42,000
Sorry for late.
What is the value of x?
Answer:
126
Step-by-step explanation:
Answer:
126°
Step-by-step explanation:
x = (87+165)/2
x = 252/2
x = 126
Answered by GAUTHMATH
What is the sum of the polynomials?
(7x3 – 4x2) + (2x3 – 4x2)
9x3 – 8x2
5x3
5x3 – 8x2
9x3
Answer:
9x3 - 8x2
Step-by-step explanation:
7x3+2x3 = 9x3
-4x2+(-4x2) = -8x2
Answer:
D
Step-by-step explanation:
HELP ME PLS I NEED TO GET THIS DONE TONIGHT AND IM STRESSING ITS PYTHAGOREAN THEOREM
A rectangular field is to be fenced off, and then divided in two by a fence running parallel to one of the sides. If 996 meters of fencing can be used, find the dimensions of the field that will maximize the total area, and then find the maximum area. List the smaller dimension first.
Solution :
Maximize, S = xy
subject to 2x + 2y = 996
So,
2x + 2y = 996
2(x + y) = 996
x + y = 498
y = 498 - x
Therefore,
S = x (498 - x)
S = 498x - [tex]x^2[/tex]
S = [tex]-x^2 + 498x[/tex]
[tex]$S = -(x^2-498x + 249^2) + 300^2$[/tex]
[tex]$S= -(x-249)^2 + 249^2$[/tex]
S = x (498 - x)
S = 498x - [tex]x^2[/tex]
[tex]$\frac{dS}{dx}= 498 - 2x$[/tex]
[tex]$\frac{dS}{dx}= 0$[/tex]
498 - 2x = 0
2x = 498
x = 249
∴ y = 498 - x
y = 498 - 249
= 249
Answer:
A = 249 x 249 = 62001 square meter.
Side is L = 249 m
Step-by-step explanation:
Total length of the fence is 996 m.
Let the length is L and the width is W.
Perimeter = 2 (L + W)
996 = 2 (L + W)
498 = L + W
L = 498 - W ...... (1)
Let the area is
A = L W
A = (498 - W) W
A = 498 W - W^2
Differentiate with respect to W.
dA/dW = 498 - 2 W
Put it equal to zero.
498 - 2 W = 0
W = 249 m
Now, L = 498 - 249 = 249 m
Differentiate with respect to W again
[tex]\frac{d^2A}{dW^2} = - 2[/tex]
As it is negative so the area is maximum.
The maximum area is
A = 249 x 249 = 62001 square meter.
Side is L = 249 m
2( 5 1 m− 5 2 )+ 5 3 2, left parenthesis, start fraction, 1, divided by, 5, end fraction, m, minus, start fraction, 2, divided by, 5, end fraction, right parenthesis, plus, start fraction, 3, divided by, 5, end fraction
Answer:
2/5m - 1/5
Step-by-step explanation:
Given the equation :
2(1/5m - 2/5) + 3/5
First step:
Open the bracket by multiplying values in the bracket by 2
2/5m - 4/5 + 3/5
-4/5 + 3/5 = (-4 + 3) / 5 = - 1 / 5
Hence,
2/5m - 4/5 + 3/5 = 2/5m - 1/5
= 2/5m - 1/5
Hi! i need some help with this question, you don't need to help with the 2 parts, just any 1. Thank you!!
y varies is directly as 3x – 4, and y = 33 when x = 5
Find:
a) y when x = 2
b) x when y = 15
Answer:
See explanation
Step-by-step explanation:
y = k * (3x - 5)
Where,
k = constant of proportionality
y = 33 when x = 5
y = k * (3x - 5)
33 = k * (3 * 5 - 5)
33 = k * (15 - 5)
33 = 15k - 5k
33 = 10k
k = 33/10
k = 3.3
a) y when x = 2
y = k * (3x - 5)
y = 3.3(3 * 2 - 5)
= 3.3(6 - 5)
= 3.3(1)
y = 3.3
b) x when y = 15
y = k * (3x - 5)
15 = 3.3(3x - 5)
15 = 9.9x - 16.5
15 + 16.5 = 9.9x
31.5 = 9.9x
x = 31.5/9.9
x = 3.18
Determine whether 7^2m · 6^2m is equivalent to each of the following expressions:
42^6m
42^m
42^9m
Answer:
Not equivalent to any of the options
Step-by-step explanation:
Given:
7^2m * 6^2m
Since, they both have different bases, multiply the bases and add the powers
7^2m * 6^2m
= (7 * 6)^(2m + 2m)
= 42^4m
Therefore,
7^2m * 6^2m is equivalent to 42^4m
A. 42^6m
Not equivalent
B. 42^m
Not equivalent
C. 42^9m
Not equivalent
Enter a recursive rule for the geometric sequence?
4, -16, 64, -256,...
a^1 = __; a^n = __
Plzz help!
Answer:
Step-by-step explanation:
a^1=-2
a^n=a×a^n-1
(60 + 24) ÷ 3 = ( __ ÷ 3) + (24 ÷ 3)
Answer: 60
Step-by-step explanation:
The blank space can be filled with 60, as this is a simple problem of distributive property
dilations geometry!
Answer:
A' (0,20)
B' (30,-20)
C' (-10,-40)
Answered by GAUTHMATH
construct a 2 ×2 Matrix whose elements aij are given by a ij = i+j
[tex]★ \sf\pink{Need \: Required \: Answer}[/tex]
Answer:
the required matrix is can be given as
