Answer:
0.9958
Step-by-step explanation:
P(being correct) = 1/4 = 0.25
Hence, p = 0.25
n = 19
P(x ≥ 1) = p(x = 1) + p(x = 2) +... + p(x = 19)
Using the binomial probability formula :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
However, to save computation time, we could use a calculator :
Using a calculator,
P(x ≥ 1) = 0.99577
P(x ≥ 1) = 0.9958
A curve is given the equation xy=25 and the equation of a line y=mx+b.
i. Express m in terms of b given that the line and the curve have one and only one point of intersection.
ii. If the line intersects the curve in two distinct points, find the set of values of b, given m=-5
Answer:
Below in bold.
Step-by-step explanation:
i, This is a rectangular hyperbola with symmetry about the line y = -x
If it touches the graph at one point only then
y = 25/x
y = mx + b so
25/x = mx + b
mx^2 + bx + 25 = 0
Using the quadratic formula:
x = (-b + sqrt(b^2 - 25*4*m)) / 2m
Now there's only one value of x so
b^2 - 25*4*m = 0
b^2 = 100m
m = b^2/100.
m = +/-b/10.
ii In this case b^2 > 100m
If m = |-5|
b^2 > 500
b > +/-√500
So b > √500 or b < -√500.
can someone help me
Answer:
z equals 13 yeeeeeeeeetttttttttttttt I hopppppeeeee thhhhhaaaaatttttt heeeeelllllllpppppppsssssss
Do 2b+b and 3b have the same value for all values of b
Answer:
Expression 2b+b and 3b have same values for all values of b.
Step-by-step explanation:
Given the two expression 2b+b2b+b and 3b3b and values of b as 1, 2 and 3.
Consider first expression that is, 2b+b2b+b .
Substituting the value of b=1b=1 ,
2\left(1\right)+\left(1\right)=2+1=32(1)+(1)=2+1=3 ....1
Substituting the value of b=2b=2 ,
2\left(2\right)+\left(2\right)=4+2=62(2)+(2)=4+2=6 ....2
Substituting the value of b=3b=3 ,
2\left(3\right)+\left(3\right)=6+3=92(3)+(3)=6+3=9 ....3
Consider second expression that is, 3b3b .
Substituting the value of b=1b=1 ,
3\left(1\right)=33(1)=3 ....4
Substituting the value of b=2b=2 ,
3\left(2\right)=63(2)=6 ....5
Substituting the value of b=3b=3 ,
3\left(3\right)=93(3)=9 ....6
For value of b=1, equation 1 and equation 4 are same, for value of b=2, equation 2 and equation 5 are same and for value of b=3 equation 3 and equation 6 are same.
Therefore both expression are same for all values of b.
Step-by-step explanation:
Hope it helps you!
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I'm willing to help you
Mary runs in the Chicago marathon and it takes her 5 hours to complete it. Write a
or unit rate that could describe Mary's run if a marathon is 26.2 miles long.
Look at the photo to answer
please help me and I have more too
Answer:
b. x=3
Step-by-step explanation:
i hope this helps :)
Answer:
4x+20=6x+14
Step-by-step explanation:
20=2x+14
6=2x
3=x
Carlo borrows 4180 add a rate of 4.1% Per year compounded annually he does not start payments until after 2.8 years which of the following is closest to the total amount he owes after 2.8 years
Answer:497.76
Step-by-step explanation:
Rule: y is 1/3 times as large as x. If x=0 y=? x=6 y=? x=12 y=?
Answer:
So for 0
0*1/3 = 0
6*1/3= 2
12*1/3= 4
Step-by-step explanation:
An equation is formed of two equal expressions. The value of y when the value of x is 0, 6 and 12 is 0, 2, and 4, respectively.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given the statement that "y is 1/3 times as large as x", therefore, the rule can be written as,
y=(1/3)x
Now, the value of y for different value of x can be written as,
1.) When x=0
y = (1/3)x
y = (1/3)(0)
y = 0
2.) When x=6
y = (1/3)x
y = (1/3)(6)
y = 2
3.) When x=12
y = (1/3)x
y = (1/3)(12)
y = 4
Hence, the value of y when the value of x is 0, 6 and 12 is 0, 2, and 4, respectively.
Learn more about Equation here:
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Desmond really like Legos. Last Saturday Desmond counted his Legos and realized that
he has 65 altogether! Desmond has 7 less green Legos than red Legos, and the amount of
blue Legos he has is two more than three times his red Legos. How many of each color
Lego does Desmond have?
Answer Quick.
Only reply if you have the answer please
Answer: 14 red, 7 green, 44 blue
Step-by-step explanation:
First, use the letter r as a variable to represent the number of red Legos. The number of green Legos (g) is 7 less than the number of red Legos, or g = r-7. The number of blue Legos (b) is 2 more than 3 times the number of red Legos, or b = 3r+2. The total number of Legos is the number of red + green + blue Legos, which can be represented as 65 = r+g+b.
Substitute the equations for g and b in. This should give you a final equation of 65 = r+(r-7)+(3r+2). To solve for the number of red Legos, first add up all of the terms to get 65 = 5r-5. Now add 5 to each side (70 = 5r). Finally, divide each side by 5 (r = 14).
To find the number of green Legos, substitute the number of red Legos (14) into the equation for the green Legos (g = r-7). This should get you the equation g = 14-7 which simplifies to g = 7.
To find the number of blue Legos, substitute the number of red Legos (14) into the equation for the blue Legos (b = 3r+2). This gives you the equation b = (3*14)+2. First, multiply 3 and 14 to get b = 42+2. Finally, add them together to get b = 44.
Explain how to find the slope of a line that passes through (-2, -4) and (7, -3)
Answer:
1/9
Step-by-step explanation:
slope = rise/run
slope = (-3--4)/(7--2)=1/9
PLEASE HELP DUE SOON! Find the area of the shaded region. Write your answer in exact form.
Marget works at a bakery. She is paid 300 every week
Answer:
B
Step-by-step explanation:
12x + 300 = 450
hope this helps
A triangle has two sides of length 17 and 19. What is the smallest possible whole-number length for the third side?
Answer:
3
Step-by-step explanation:
A triangle has two sides of length 17 and 19. What is the smallest possible whole-number length for the third side?
To solve for the above question, a rule applies.
The rule states that:
The sum of any 2 sides must be greater than than the third side.
The possible values for the third side are
19 - 17 < x < 19 + 17( x is the third side )
2 < x < 36
Thus the smallest possible whole number is 3
Isaac walks 8 km north and then 12 km east. How far is Isaac from his starting point?
Answer:
Step-by-step explanation:
Distance from starting point = 8 + 12 = 20km
ok screw it i need to sneep i can't even do simple addition its too late
sorry
-cheesetoasty
Which represents the inverse of the function
f(x) = 4x?
Answer:
Step-by-step explanation:
that options given seem wrong but what do i know thats just difficult dude im just in the 4th grade
Answer:
4th option
Step-by-step explanation:
let y = f(x) , then rearrange making x the subject, that is
y = 4x ( divide both sides by 4 )
[tex]\frac{1}{4}[/tex] y = x
Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then
[tex]f^{-1}[/tex] (x) = h(x) = [tex]\frac{1}{4}[/tex] x
Can someone please help me asap ill mark brainlist!!!
Answer:
c
Step-by-step explanation:
The correct answer is a.
could someone give me answers for these three? no wrong answer or spam or link
Answer:
Equation: 2x + 13 = 5x - 20
x = 11
<FDG = 35
Step-by-step explanation:
These are vertical angles so they're equal to each other:
2x + 13 = 5x - 20
2x - 5x = -20 - 13
-3x = -33
x = 11
<FDG:
5x - 20
5(11) - 20
55 - 20
35
If the perimeter of a rectangle is 28 inches, what could be the two dimensions of the rectangle?
11 inches
4 inches
9 inches
3 inches
7 inches
Answer:
11 and 3
Step-by-step explanation:
11x2 = 22
3x2 = 6
6+22=28
Of the last 18 trains to pull into Castroville Station, 12 were full. Considering this data, how many of the next 12 trains would you expect to be full?
Answer:8
Step-by-step explanation:
There are 12 of the next 12 trains would expect to be full.
What is the proportion?A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other.
Based on the information provided, it seems that 12 out of the last 18 trains to pull into Castroville Station were full, which is a proportion of 12/18 or 2/3.
Therefore, if the same proportion of full trains holds in the future, one would expect 2/3 or 8 of the next 12 trains to be full.
This prediction is based on the assumption that the proportion of full trains remains constant.
Thus, there are 12 of the next 12 trains would expect to be full.
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The perimeter of the triangle is 30 cm.
The perimeter of the rectangle is also 30 cm.
b
a
a
a
a
RE
b
Use this information to find the area of the square below.
b
Eਦੇ ਸਾਊ ਜ0
+
b
b
b
ਬਰੀ ਹੈ। ਅਜੋਕੇ ਸੰਤ
CHE
Answer:
25
Step-by-step explanation:
3a=30... equation 1
2a+2b=30... equation2
equation 2 => a+b=15 ... equation 3
equation 1 => a = 10 ... equation 4
equation 4 & equation 3 => b = 5
5^2 = 25
Answer:
20 cm
Step-by-step explanation:
triangle
30/3=10=a
rectangle
30-20=10/2=5=b
square
4 times 5=20
Can u find the value of the x.
Answer:x=8
Step-by-step explanation:
x²-3x=-3x+64
- Add 3x to both sides
x²-3x+3x=-3x+3x+64
= x²=64
- Square both sides
√x²=√64
x=±8
- Since the question is asking for the positive value of x, the answer is 8.
Arthur went to dinner. The meal cost $157 and
he wants to leave an 18% tip. How much money
should he leave for the tip?
Arthur should leave a $28.26 tip
Can you maybe put up the explanation too and not just the answer? Thank you
Hope it helps you! .........
what is the perimeter of this polygon?
Answer:
Step-by-step explanation:
Did you try adding it all up and combine the like terms to get your answer
Alexandria, Bettina, and Crystal are planning a road trip together. The road trip is 1,100 miles. They plan to drive 50 miles per hour for the entire trip and have agreed on the following conditions. · Alexandria will drive 60% of the road trip. • Bettina will drive 1 mile for every 10 minutes of the road trip. • Crystal will drive the remainder of the road trip. Find the total driving time for the trip. Then determine the amount of time and how many miles each person will drive.
1.
The distance from the Sun to Mercury is 3.598. 10^7
miles. The distance from the Sun to Neptune is
2.798. 10^9 miles. How far is Mercury from Neptune?
Write your answer in scientific notation.
Answer:
Exponente positivo
Potencias de 10
Escribe estos números en forma ordinaria:
7'3·103; 4'724·108; 8'24·105
Notación científica. Orden de magnitud. Comparaciones
Expresa en notación científica las siguientes cantidades e indica su orden de magnitud.
235'74; 1985; 12 billones; 320 millones; 37.800.000.000; 220.000.
La desaparición de los dinosaurios ocurrió hace 65 millones de años, aproximadamente 108 años. Por ello hemos situado la D debajo de la potencia correspondiente:
El nacimiento del Universo (U) ocurrió hace 15 mil millones de años . Sitúa U en la casilla que le corresponde. Haz lo mismo con:
El califato cordobés de Abderramán (A): aproximadamente 800 años.
El control, del fuego (F): hace 600.000 años.
Aparición del hombre de Cromagnon (C): 30.000 años.
El nacimiento de la Tierra: (T): 4.5 mil millones de años.
El primer paso del hombre en la Luna (L): hace una veintena de años.
El primer paso del hombre en la Tierra (H): tres millones de años
La invención de la imprenta por Gutenberg (G): hace 550 años.
La nebulosa "Triangulum" está a 1'4·1022 metros de la Tierra. Escribe esta distancia en forma ordinaria.
Step-by-step explanation:
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
I think D
Step-by-step explanation:
I am not sure sorry
1 2 3 4 5 6 7 8 9 10 The variety of organisms within an ecosystem is characteristic of which type of diversity? a. Genetic diversity b. Ecosystem diversity c. Species diversity d. Regional diversity Please select the best answer from the choices provided A B C D Mark this and return
Answer:
its C (Species diversity)
Step-by-step explanation:
At age 21, Felipe is 60% of the minimum age he must be to become U.S. President.
What is the minimum age he must be to become U.S. President?
Answer:
35 years
Step-by-step explanation:
[tex]\frac{60}{100} = \frac{21}{y}[/tex]
Cross Multiplying:
[tex]21*100 = 2,100\\2,100/60 = 35[/tex]
The midpoint of AB is M(-4, 2). If the coordinates of A are (-6, 5), what are the coordinates of B?
Answer:
figure it out
Step-by-step explanation: