Answer:
The correct response will be "0.01913".
Step-by-step explanation:
According to the question,
p - P(70 years or older)
= 0.18
n = 4
X = no. of individuals who are older than 70 years
Now,
∴ [tex]P(X=r)=n_C_r \ p^r(1-p)^{n-r}[/tex]
∴ [tex]P(X=3)=4_C_3(0.18)^3(1-0.18)^{4-3}[/tex]
[tex]=4\times (0.18)^3(0.82)^1[/tex]
[tex]=0.01913[/tex]
given f(x)=4x-3, solve for x when f(x)=9
F+G=K+7, K=7 prove: G=7
Step-by-step explanation:
K=7,
F+G=K+7
F+G=7+7
F=7, G=7 proved
Consider a coin that a head is twice more likely to occur than a tail. Find the variance of number of heads when the coin is tossed three times.
Answer:
0.667
Step-by-step explanation:
Given that :
Head is twice more likely to occur than a tail.
P(head) = p(H) = 2/3
P(tail) = p(T) = 1/3
If coin is tossed 3 times :
P(H = 0) :
1st toss = tail ;2nd toss = tail ; 3rd toss =. Tail
(1/3) * (1/3) * (1/3) = 1 / 27
P(H= 1)
HTT, THT, TTH
(2/3 * 1/3 * 1/3) + (1/3 * 2/3 * 1/3) + (1/3 * 1/3 *2/3)
= 2/27 + 2 /27 + 2/27
= 6/27 = 2/9
P(H=2)
HHT, HTH, THH
(2/3 * 2/3 * 1/3) + (2/3 * 1/3 * 2/3) + (1/3 * 2/3 * 2/3)
= 4/27 + 4/27 + 4/27
= 12 / 27
= 4 /9
P(H = 3)
HHH
(2/3 * 2/3 * 2/3)
= 8 / 27
X ___ 0 ___ 1 ____ 2 ____ 3
P(x) _ 1/27 _ 2/9 __ 4/9 __ 8/27
E(X) = (0 * (1/27)) + (1 * (2/9)) + (2 * (4/9)) + (3 * (8/27)) = 2
E(X) = 2
Var(X) = Σx²p(x) - E(X)²
= (0^2 * (1/27)) + (1^2 * (2/9)) + (2^2 * (4/9)) + (3^2 * (8/27)) - 2^2
= 4.667 - 4
= 0.667
Hence, Var(x) = 0.667
Six years ago Deki was P times as old as Benita was. If Deki is now 17 years old, how old is
Benita now in terms of P?
A. 11/P + 6
B. P/11 + 6
C. 17 - P/6
D. 17/P
Answer:
A) 11/P + 6
Let Ben’s age now be B
Anita’s age now is A.
(A - 6) = P(B - 6)
But A is 17 and therefore 11 = P(B - 6)
11/P = B-6
(11/P) + 6 = B
please make as brainleylist
The sum of three consecutive odd integers is 153. Find the three odd integers.
First integer =
Second integer =
Third integer =
PLEASE HELPPPP!!
Answer:
49, 51, 53
Step-by-step explanation:
Let the first odd integer be n.
Then the consecutive odd integer will be (n+2).
This will be followed by (n+4).
We know that the sum of these three is 153. In other words:
[tex]n+(n+2)+(n+4)=153[/tex]
Solve for n. Combine like terms:
[tex]3n+6=153[/tex]
Subtract 6 from both sides:
[tex]3n=147[/tex]
Divide both sides by 3:
[tex]n=49[/tex]
Therefore, our first odd number is 49.
So, our consecutive numbers must be 51 and 53.
Hence, our sequence is:
49, 51, 53
Notes:
If we get an even number for n or a non-integer value, then there are no three consecutive odd integers that sum to 153.
Answer:
49, 51, 53
Step-by-step explanation:
All odd numbers:
49 + 51 = 100
100 + 53 = 153
What is the equation in standard form of the line y = 19x + 5?
i am doing a test. thank you.
Answer:
19x-y=-5
Step-by-step explanation:
Tip: don't say you need an answer for a test may get reported or banned. :)
You're welcome :)
Use all four numbers 5, 1, 7, 9 with a value as close to 6000 as possible
Answer:
5971
Step-by-step explanation:
Elijah builds model airplanes at a constant rate. He can build 5 model airplanes in 150 minutes, and 10 model airplanes in 300 minutes. How long would it take him to build 15 model airplanes.
Answer:
450 minutes
Step-by-step explanation:
Since Elijah can build 5 model airplanes in 150 minutes. He can build 1 model airplane in 30 minutes. To find this you divide 150 by 5. The question asks for how many minutes it would take Elijah to build 15 model airplanes. Since 1 x 15 = 15 model airplanes, you use proportions and also multiple the time by 15, so 30 x 15 = 450 minutes.
Answer:
450 Minutes or 7 hours 30 minutes
Step-by-step explanation:
Because the rate of Sets to minutes is 1:30 for every 1 he builds it take 30 minutes so 30 x 15 = 450 or 150 x 3 because every 5 sets there 150 minutes
Hope this helped :)
WILL GIVE BRAINLIEST! Is the relationship between x and y as shown in this table a proportional relationship? Explain your answer.
x y
1 2.5
2 5
4 10
6 12
8 20
Answer:
No, a porportional relationship is not shown
Step-by-step explanation:
Up until 4(x) and 10(y), the relationship is porportional. Then, when x increases by 2, y also only increases by 2. Y would need to increase by 5.
Find the number whose arithmetic square root is 0.6
Answer: 0.36
Step-by-step explanation:
6/10 x 6.10= 36/100
Given that 3a : 7 = 8:5, find the value of a.
Answer:
a=56/15
Step-by-step explanation:
3a/7=8/5
3a=56/5
a=56/15
Find the missing value.
Hint: Use the number line to find the missing value.
Helppp
Answer:
-2
Step-by-step explanation:
the multiplication of -×- will be + so if-×-will be plus then -7 after multiplying will be + so
_2+7=5
Answer is 12! Gl on what ur doing!
fifty two seventh graders joined the swim club this year. THis is for more than six times the number seventh graders who joined the swimming club last year. How many seventh graders joined the swimming club last year. Brainly
Answer:
312
Step-by-step explanation:
52x6
A rope that is 168 ft long is to be cut into three pieces such that the second piece is 6 ft less than three times the first, and the third is 2 ft more than two-thirds of the second. Find the length of the longest piece.
Answer:
Length of longest piece is 82 ft
Step-by-step explanation:
Let the measure of the second piece be x
First piece be y
second piece is 6 ft less than 3 times the first
x = 3y - 6
y = (x + 6)/3
3rd piece = 2 + 2/3 * x
= 2 + 2x/3
Adding all equals 168
we only add in terms of x
so we have;
x + (x + 6)/3 + 2 + 2x/3 = 168
Multiply through by 3
3x + x + 6 + 6 + 2x = 504
6x + 12 = 504
6x = 492
x = 492/6
x = 82 ft
So the other pieces are
(x + 6)/3 = 82+6/3 = 88/3 ft
And lastly
2 + 2x/3
= 2 + 164/3 ft
12 2.25 24 7.5 3 6.75 y 0.75 6 1.5 DRAG AND DROP AN ITEM HERE DRAGAND DROP ANTEN HERE DRAGAN ROP AN ITEM HERE
Answer:
0.75
Step-by-step explanation:
BASTA CHAT NYU NA LNG PO AKO DTO NEED NYU PO NG EXPLANATION
Division expression
(ILL GIVE BRAINLIEST AND EXTRA POINTS TO WHO EVER HELPS MEEEEEEEEEEEE!! :D)
Which expression results in a sum or difference of three and four forty eighths?
A) two and two twenty fourths plus one and one half
B)one and three twelves plus two and one quarter
C) seven and nine sixteenths minus four and one third
D) six and two sixths minus three and two eighths
Answer:
D) six and two sixths minus three and two eighths
Step-by-step explanation:
Answer:
i think it is D
Step-by-step explanation:
D) six and two sixths minus three and two eighths
HELP FAST I NEeD THIS
Answer:
1. x=7.16304347
2.x=11.2
Step-by-step explanation:
3/4 x 2 /4 on a number line
Bhmbbu.jgHello I need help with the square root of 1867 and the square root of 5098 6x9x7x5x4
Answer:
Hello!
Step-by-step explanation:
What did the thief get for stealing the calendar?
Here is a riddle
Which expression is equivalent to two square root of 98 times square root of two
Answer:
The answer is 14. Hope this helps.
Step-by-step explanation:
Translate this sentence into an equation.
17 less than Vidya's savings is 64
Answer:
S - 17=64
Step-by-step explanation:
find the smallest number by which the number108 must be multiplied to obtain a perfect cube
Answer:
2
Step-by-step explanation:
108*2
=216
216
=6^3
PLS GIVE BRAINLIEST
Lorine drew the model below to represent the equation 16 + 28 = ___ ´ (4 + 7).
Answer:
4
Step-by-step explanation:
Answer:
Its A (A is 4)
Step-by-step explanation:
Also correct on Edge 2021
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the product of 0.43 and 5.024 is greater than 0.43 and less than 5.024 true or false
Answer: True
Step-by-step explanation:
First find the product of 0.43 and 5.024 so see if it is greater than 0.43.
0.43 * 5.024 = 2.16032
2.16032 is indeed greater than 0.43 , 2.16032 > 0.43
And 0.43 is indeed less than 5.024 , 0.43 < 5.024
Meaning that this state is true.
Answer:
True
Step-by-step explanation:
Product refers to multiplication, the question is telling us to multiply 0.43 and 5.024 so lets do that
0.43 * 5.024 = 2.16032
Now we have to figure out if this fits the criteria. It must be larger than 0.43 but smaller then 5.024
...
...
...
That checks out.
True
Brainliest is much appreciated!
5. *
17 points
Which answer shows 9x 10-written in standard form?
-.000009
.000009
-900,000
.00009
Select the correct answer.
Which expression is equivalent to this polynomial?
x^2+8
OA. ( + 2/2)(x – 2/2)
B. (5 + 4i) (3 – 4i)
oc. (x + 2√2)
D. (x + 2/2i)(x – 2/2i)
The expression x²+8 is equivalent to ( x + 2√2i) ( x - 2√2i).The correct option is D.
What is an Expression?An expression is a statement consisting of variables, constants, and mathematical operators.
The expression x²+8 can be written as
( x )² - ( 2√2i)²
This is representing the binomial Identity
a² - b² = ( a+b) (a-b)
here a = x , b =2√2i
The expression can be written as
( x )² - ( 2√2i)² = ( x + 2√2i) ( x - 2√2i)
Therefore, The correct option is D.
To know more about Expression
https://brainly.com/question/14083225
#SPJ2
Answer: D.)
Step-by-step explanation: I got it right on the test!!
Five less than the area of a square is 59 square feet. Find the side length of the square.
Answer:
4 feet
Step-by-step explanation:
Let the side length of the square be x feet.
x^2 - 5 = 59
x^2 = 64
x = ±4 (reject - 4 since length > 0)
Topic: Areas of polygons
If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
Kevin needs to memorize words on his oh Cavaleri list for Latin class. He has been raised 20 other words, which is 4/5 of the list. How many words are on the list?
Answer:
25
Step-by-step explanation:
if 20 is 4/5 then you just reverse egineer and you get it
Which is the better buy?
7-pound bag of barley for $6.72
312-ounce bag of barley for $28.08
Answer:
7-pound bag of barley for $6.72 is a better buy.
Step-by-step explanation:
7-pound bag of barley for $6.72
6.72 : 7 = 0.96
check your work: 0.96 x 7 = 6.72
so for the first offer you will be paying $0.96 per pound
312-ounce bag of barley for $28.08
1 pound = 16 ounces
312 ounces = 19.5 pounds
28.08 : 19.5 = 1.44
for the second offer you will be paying $1.44 per pound of barley. 7-pound bag of barley for $6.72 is a better buy because you will be less for each pound.
hope this helps!
Answer:
7-pound bag of barley for $6.72
Step-by-step explanation: