Answer:
95
Step-by-step explanation:
1. First, the binary to decimal formula is:
decimal = [tex]d_0*2^0 + d_1 *2^1 + d+2*2^2+..[/tex]2. Now, let's apply it:
[tex](1011111 )_2= (1 *2^6) + (0 *2^5) + (1*2^4) + (1*2^3) + (1 *2^2) + (1 *2^1) + (1*2^0)[/tex] [tex]1(64) + 0(32) + 1(16)+1(8)+1(4)+1(2)+1(1)[/tex] [tex]64 + 0 + 16 + 8 + 4 + 2 + 1[/tex] [tex]80 + 8 + 4 + 2 + 1[/tex] [tex]88 + 4 + 2 + 1[/tex] [tex]92 + 2 + 1[/tex] [tex]94 + 1[/tex] [tex]95[/tex]Therefore, the answer is 95.
Change $35,000 per year to dollars per hour
25
In a statewide lottery, one can buy a ticket for $1. With probability .0000001, one wins a million dollars ($1,000,000), and with probability .9999999 one wins nothing ($0). Let Y denote the winnings from buying one ticket. Construct the probability distribution for Y. Show that the mean of the distribution equals .10, corresponding to an expected return of 10 cents for the dollar paid.
Using the expected value, it is found that the mean of the distribution equals $0.1.
The expected value, which is the mean of the distribution, is given by each outcome multiplied by it's probability.
The probabilities of each outcome are:
.0000001 probability of earning $1,000,000..9999999 probability of earning $0.Thus, the mean is given by:
[tex]E(Y) = 0.0000001(1000000) + 0.9999999(0) = 0.1[/tex]
Thus showing that the expected value is $0.1.
A similar problem is given at https://brainly.com/question/24855677
What is the distance between two points with coordinates (32,12,5) and (20,3,13) in space?
The distance between two points with the given coordinates in space is;
Distance = 17 units
We are given the coordinates;
(32, 12, 5)
(20, 3, 13)
Formula for the distance between two points that have (x, y, z) coordinates is;d = √((x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²)
From the equation given to us, we can see that;
x₁ = 32
x₂ = 20
y₁ = 12
y₂ = 3
z₁ = 5
z₂ = 13
Using the formula for the distance, we have;d = √((20 - 32)² + (3 - 12)² + (13 - 5)²)
d = √(144 + 81 + 64)
d = √289
d = 17
Thus, the distance between the two points is 17 units
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Bob received a grade of 89 for his English test. His math test was 5 more points than his English test. Find out the grade he needs to get on his science test to raise the mean score to 93.
Answer:
If I'm not mistaked the mean should be bumbed up by five.
Step-by-step explanation:
the sum of two consecutive integers is 299. find the integers.
I HOPE THE ABOVE INFORMATION WILL HELP YOU.
THANK YOU.
TEDDYLOVER
Since the sum of two consecutive integers is 299, the integers are 149 and 150
What are integers?Integers are posiive or negative whole numbers.
Since the sum of two consecutive integers is 299. To find the integers., we proceed as follows.
Since the sum of two consecutive integers is 299.
Let the two consecutive integers be n and n + 1.
Since the sum of two consecutive integers is 299, we have that
n + n + 1 = 299
Adding like terms, we have that
n + n + 1 = 299
2n + 1 = 299
Subtracting 1 from both sides of the equation, we have that
2n + 1 = 299
2n + 1 - 1 = 299 - 1
2n + 0 = 298
2n = 298
Dividing both sides of the equation by 2, we have that
2n = 298
n = 298/2
n = 149
So, n + 1 = 149 + 1 = 150
So, the integers are 149 and 150
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wHAT IS THE DOMAIN OF THE FUNCTION fx=(x+1)/(x^2 +2x-3)
Answer:
Domain : R−{−1,3}
Range: R
Step-by-step explanation:
Equate the denominator(x2−2x−3) to zero, then solve the equation for x
→x2−2x−3=0
→x=−(−2)±√(−2)2−4⋅(1)⋅(−3)2⋅1
→x=1±2
⇒x=−1 and x=3
This means that, when x=−1 or 3, we have the x2−2x−3=0
Implying that f(x)=x0 which is undefined.
Hence, the domain is all real numbers except −1
and 3
Also written as Df=(−∞,−1)∪(−1,3)∪(3,+∞)
BRAINLIEST TO CORRECT
Answer: I think possible answers D
Step-by-step explanation:
using a number line. Which is closer to one, 7/8 or 8/7
-Explain without converting to decimals or using common denominators.
Answer:
Both are the same because 7/8 is 1/8 away from 1, and 8/7 is one away from 1
Step-by-step explanation:
Factor the expression using the common factor −6 . −12x−18y−3.6 Drag a value or operation/sign to the boxes to correctly factor the linear expression.
Answer: 2 2 3 4 5
Step-by-step explanation:
Answer:
Hello I took the test the answer is -6(2x+3y+0.6)
Step-by-step explanation:
here's proof from k12 hope this helps
Answer This 20 Point Question And I Will Thank And Rate U 5.0 And Brainlist U Please Answer Thanky You :D.
Answer:
1i : 0
1ii : 1
1iii : -1
1iv : 1
1v : 1
2i : -1
2ii : -13
2iii : -29
3i : -9
3ii : 3
3iii : 0
3iv : 1
4i : 8
4ii : 4
4iii : 0
5i : -3
5ii : 2
5iii : 0
5iv : 2
6i : -39
6ii : 15
6iii : 0
6iv : answering only the circled part : 12
7i : 10
7ii : -6
7iii : 11
7iv : 22
7v : -8
8i : 1000
8ii : -180
9 : -5
10 : 38
Answer:
1. (i) m - 2 = 2 - 2 = 0
1. (i) 3m - 5 = 3(2) - 5 = 6 - 5 = 1
1. (ii) 9 - 5m = 9 - 5(2) = 9 - 10 = – 1
1. (iii) 3m² - 2m - 7 = 3(2)² - 2(2) - 7 = 3(4) - 4 - 7 = 12 - 11 = 1
[tex]1.(iv) \: \frac{5m}{2} - 4 = \frac{5(2)}{2} - 4 = \frac{10}{2} - 4 = 5 - 4 = 1[/tex]
__o__o__
2. (i) 4p +7 = 4(-2) + 7 = -8+7= – 1
2. (ii) -3p² + 4p+7 = -3(-2)² + 4(-2) + 7 = -3(4) -8+7 = -12-8+7 = -20 +7 = – 13
2. (iii) -2p³-3p²+4p+7 = -2(-2)³ - 3(-2)² +4(-2) +7 = -2(-8) -3(4) -8 = 16-12-8=16-20= – 4
__o__o__
3. (i) 2x -7 =2(-1)-7= - 2 -7 = – 9
3. (ii) -x+2 = -(-1)+2= 1+2 =3
3. (iii) x²+2x+1 = (-1)²+2(-1)+1 =1 -2+1=2-2=0
3. (iv) 2x²-x-2= 2(-1)²-(-1)-2=2+1-2= 1
__o__o__
4. (i) a²+b² = (2)²+(-2)² =4+4= 8
4. (ii) a²+ab+b² = (2)²+(2)(-2)+(2)²= 4 -4+4= 4
4. (iii) a²-b² = (2)² - (-2)² = 4 - 4 = 0
__o__o__
5. (i) 2a+2b = 2(0)+2(-1) = 0-2 = - 2
5. (ii) 2a² +b²+1 = 2(0)² + (-1)² +1 = 0+1+1 = 2
5. (iii) 2a²b+2ab²+ab = 2(0)²(-1) + 2(0)(-1)²+(0)(-1) = 0
5. (iv) a²+ab+2 = (0)²+(0)(-1)+2 = 2
__o__o__
6. (i) x+7+4(x-5) = x + 7 + 4x - 20 = 5x - 13 = 5(2) - 13 = 10 - 13 = - 3
6. (ii) 3(x+2)+5x-7 = 3x +6+5x -7 = 8x -1 = 8(2) -1 = 16 - 1 = 15
6. (iii) 6x+5(x-2) = 6x +5x -10 = 11x - 10 = 11(2)-10 = 22 - 10 = 12
6. (iv) 4(2x-1)+3x+11 = 8x - 4 +3x+11 = 11x + 7 = 11(2)+7 = 22+7 = 29
__o__o__
7. (i) 3x-5-x+9 = 2x + 4 = 2(3) +4 = 6+4=10
7. (ii) 2-8x+4x+4 = – 4x + 6 = - 4(3) +6= - 12+6= – 6
7. (iii) 3a+5-8a+1 = – 5a +6= - 5(-1) +6= 5+6=11
7. (iv) 10 -3b-4-5b = - 8b + 6 = -8(-2)+6= 16 +6 = 22
7. (v) 2a-2b-4-5+a = 3a -2b - 9 = 3(-1) - 2(-2) - 9 = - 3 + 4 -9 = - 12 +4 = – 8
__o__o__
8. (i) z³ - 3 (z-10) = (10)³ - 3(10-10) = 1000 - 3(0) = 1000
8. (ii) p²-2p-100 = (-10)² - 2(-10) -100 = 100 + 20 -100 = 20
__o__o__
9. 2x² +x - a = 5 ==> 2(0)² +(0)- a = 5 ==> 0 - a = 5 ==> -a=5 ==> a = – 5
___o__o__
10. 2(a²+ab)+3-ab ==> 2a² + 2ab +3 - ab ==> 2a² + ab +3 ==> 2(5)²+ (5)(-3) +3 = 2(25)- 15 +3 = 50-15+3 = 53-15 = 38
I hope I helped you^_^
If rolling a pair of dice, what is the probability of rolling a sum of 12?
A) 1/6
B) 1/12
C) 1/24
D) 1/36
Answer:
D. 1/36
Step-by-step explanation:
yeah-ya.... right?
A spinner has regions numbered 1 through 15. What is the probability that the
spinner will stop on an even number or a multiple of 3?
Answer:
41
Step-by-step explanation:
i did it before kwndjejfjfjf
Answer:
2/3 or 66.66%Step-by-step explanation:
Even numbers:
2, 4, 6, 8, 10, 12, 14Multiples of 3:
3, 6, 9, 12, 15Total number of even numbers or multiples of 3 discounting repeats is 10.
Required probability is:
P = 10/15 = 2/3 or 66.66%HELP MEEEEEEEEEE PWEEEEEEEEEEEEEEEEEZZZZZZZZZZZ
Answer:
the difference is 429
Step-by-step explanation:
you round 689.7 to 690 the minus that by 261, then you get 429.
Answer:
429
Step-by-step explanation:
689.7 - 261 = 428.7
answer approximated is 429
How do I evaluate this
Answer:
The answer is 8
Step-by-step explanation:
c/7 ; c = 56
56/7 = 8
Thus, The answer is 8
-TheUnknownScientist 72
Nadia entered a spelling contest. In the first round, a total of 1,036 words were spelled correctly. Each contestant spelled 37 words correctly. How many contestants were in the first round?
Answer: 28
Step-by-step explanation:
You have to do 1036 divided by 37.
What is the Fraction of 140%
Answer:
140% is 140/100 = 7/5 is fraction
PLS HELP I WILL GIVE BRAINLIEST The dimensions of the dining room in Hisham's house are 8 mx 6 m. If the
dimensions of the tiles are 20 cm x 60 cm, how many tiles are needed to tile the
dining room according to the pattern mentioned in the first question?
280 tiles
400 tiles
420 tiles
480 tiles
Answer:
Step-by-step explanation:
Dining room:
length = 8 m = 8 *100 = 800 cm
width = 6m = 6 *100 = 600 cm
[tex]Number \ of \ tiles =\dfrac{area \ of \ the \ dinning \ room}{Area \ of \ a \ tile}\\\\[/tex]
[tex]= \dfrac{800 *600}{20*60}\\\\= 400 \ tiles[/tex]
PLS HELP BRAINLIEST WILL BE GIVEN TO FIRST ANSWER!
Solve the rational equation x over 5 equals x squared over quantity 4x plus 2 and check for extraneous solutions.
x = 0; x = −2 is an extraneous solution
x = 2; x = 0 is an extraneous solution
x = 0 and x = 2
x = 0 and x = −2
Answer:
(C) x = 0 and x = 2Step-by-step explanation:
Given equation:
x/5 = x²/(4x + 2)Cross multiply and simplify:
x(4x + 2) = 5x²5x² = 4x² + 2xx² - 2x = 0x(x - 2) = 0x = 0or
x - 2 = 0 ⇒ x = 2Correct choice is C
[tex]\\ \sf\longmapsto \dfrac{x}{5}=\dfrac{x^2}{4x+2}[/tex]
[tex]\\ \sf\longmapsto x(4x+2)=5x^2[/tex]
[tex]\\ \sf\longmapsto 4x^2+2x=5x^2[/tex]
[tex]\\ \sf\longmapsto x^2-2x=0[/tex]
[tex]\\ \sf\longmapsto x(x-2)=0[/tex]
[tex]\\ \sf\longmapsto x=0\:or\:x=2[/tex]
Help help please almost 4 more questions
Answer:
3^2=9
Step-by-step explanation:
please mark me as brainlest
A jar contains 6 red marbles, numbered 1 to 6, and 10 blue marbles numbered 1 to 10.
Answer:
it's 23
Step-by-step explanation:
because its 23
four times the sum of a number and 7 is 44 less than the number
Answer:
The number is 17.
Step-by-step explanation:
Let x be the unknown number.
4 times the sum of a number plus 7 would be
4x + 7
44 less than the unknown number (x) would be
x - 44
Now we connect everything.
4x + 7 = x - 44
4x - x = -44 - 7
3x = -51
x = -17
The algebraic representation of the expression is 4(x + 7) = x - 44
How to determine the algebraic representation of the expressionFrom the question, we have the following parameters that can be used in our computation:
four times the sum of a number and 7 is 44 less than the number
By definiton:
Sum means plus
Less than means minus
Using the above as a guide, we have the following:
4 * (x + 7) = x - 44
So, we have
4(x + 7) = x - 44
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Use a graphing calculator to determine the solution of
1-2x - y = 2
13x + 2y=1
I tried -2, -1, 0, 1, -3, -4, but it did not work. Any ideas on what the correct answer actually is?
y = -4, -3, -2, -1, 0, 1
Step-by-step explanation:
-5 < y < 2
y = -4, -3, -2, -1, 0, 1
-5 < -4, -3, -2, -1, 0, 1 < 2 ☑
I NEED BOTH THESE QUESTIONS ANSWERED PLZZZZZZZZZZZZZZZZZZZ
Answer:
1) 1050 ft squared
2) 200 yards
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Please answer! No links!!!!
Picture is included.
Answer:
It is C
Step-by-step explanation:
The square root of 61 is 7.81024967591 so it is an irrational number.
If 33 is added to a number, it will be 4 times as large as it was originally. What’s the number?
Answer:
99
Step-by-step explanation:
33x3=99
Answer:
44
Step-by-step explanation:
4-1=3 (4 times minus what was original which is 1u)
3u=33
1u=33÷3=11
4u=11x4=44
Hope this helps! Thanks.
1. Given the angle measurements,
what is the value of x?
с
X + 42°
60°
40°
00
A
Answer:
Please clarifly your question.
Step-by-step explanation:
What angle measurements are given? Are the numbers following it multiple choice? There isn't enough information.
Answer:
38°
Step-by-step explanation:
If supplementary -
180 = 60 + 40 + (x+42)
80 = x+42
x = 38
5.
Chet rents a car for a month. It costs a $260 fixed charge to rent the car for one month and $8 for every
100 miles driven in it. Chet drove 3,000 miles in the rental car. What was his total bill for the car?
A. $ 270
B. $ 287
C. $ 500
0BB
D. $2,700
E. $2,960
Answer:
d
Step-by-step explanation:
1 eat
2 eat
3 eat
If f(x - 1) = 2x + 3 for all values of x, what is the
value of f(-3)?
Answer:
-1
Step-by-step explanation:
F(x - 1) = 2x + 3.
Rewrite the right side (2x + 3)
F(x - 1) = 2[ x ] + 3
F(x - 1) = 2[ x - 1 + 1 ] + 3 = 2 [ (x - 1) + 1 ] + 3
= 2 (x - 1) + 2 + 3
= 2(x - 1) + 5
replace "x - 1" with "-3" :
F(-3) = 2(-3) + 5 = -1
What is the length of an arc cut off by an angle of 3 radians on a circle of radius 6 inches?