Find the normal approximation to the chance that the face with six spots appears between 9, 10, or 11 times.
The exact chance that the face with six spots appears 9, 10, or 11 times?
my solution; in one roll of the die P(6 spots)=16 In 60 rolls of the die the expected number of times the face with 6 spots appears is given by E(X)=Mean=606=10 times.
SE(6spots)=SD=SQR(606⋅56)=2.8868
Applying the normal approximation to the chance that the face with six spots appears 10 times, I obtain the following: mean = 10
Standard deviation=2.8868
Using the continuity correction of 0.5 the following z-scores are found: z1=(9.5−10)/2.8868=−0.1732 and z2=(10.5−10)/2.8868=0.1732 Subtracting the cumulative probabilities for the two z-scores gives 0.5688−0.4312=0.1376 which is the approximate chance that the face with six spots appears 10 times. find the six spots appears between 9,10, or 11?
The exact chance that the face with six spots appears 10 times is found from
60C10(16)10×(56)50=0.137 find six spots appears 9, 10 or 11 times
ILL BRAINLIEST YOU IF YOU GET IT RIGHT
explanation please
Answer:
[tex]\boxed {\boxed {\sf D. \ x=20}}[/tex]
Step-by-step explanation:
If line m and line r are parallel, the two angles must be congruent, because they are alternate interior angles. Notice how the 2 lines and the transversal form a backwards "Z" and the angles are in the inner corners.
So, if the angles are congruent, we can set them equal to each other.
3x-357x-115[tex]7x-115=3x-35[/tex]
Now, solve for x by isolating the variable. First, move all the constants to one side and the terms with variables to another.
115 is being subtracted and the inverse of subtraction is addition. Add 115 to both sides.
[tex]7x-115+115=3x-35+115\\7x= 3x+(-35+115) \\7x=3x+80[/tex]
3x is being added and the inverse of addition is subtraction. Subtract 3x from both sides.
[tex]7x-3x=3x-3x+80 \\4x=80[/tex]
x is being multiplied by 4. The inverse of multiplication is division. Divide both sides by 4.
[tex]4x/4=80/4\\x=20[/tex]
If the lines are parallel, then x=20 so the angles are congruent.
HELPP!!!!!!!!!!!!!!!!
Answer:
D.4 3/4
Step-by-step explanation:
hope it helps you
I need help finding the answer!
Answer: x=4
Step-by-step explanation:
Since this is a rectangle we already know that all the angles are 90, so we can do this:
46+10x+4=90
50+10x=90
10x=40
x=4
What is 0.68 expressed an a fraction in simplest form with both the 6 and 8 repeating
Answer:
68/99
Step-by-step explanation:
HELP MEEEEEEEEE I REALLY DONT KNOW THIS ONE
Answer:
[tex]volume = \pi {r}^{2} h \\ = \pi( {5}^{2} ) \times 6 \\ 150\pi \: cubic \: units[/tex]
Answer:
471
Step-by-step explanation:
Using Pi=3.14
First find the area of the bottom circle:
3.14*([tex]5^{2}[/tex])
=78.5
Then multiply the result by the height
78.5*6=471
therefore,
Volume of clylinder: 471 units squared
Please give me brainliest if corrrect :)
Ten times the square of a non zero number is equal to fifty times the number.
What is the number?
Answer:
5
Step-by-step explanation:
10x^2=50x
10x=50
x=5
I need help again.Here is the question, Distance = Rate x Time What was my rate of speed if it took me 3.5 hours to travel 210 miles?
Answer:
60
Step-by-step explanation:
210÷3.5=60
3.5x60=210
Hope this helps!
: )
32 km 24 km What is the length of the hypotenuse? C = kilometers
Answer:
40 kilometers
Step-by-step explanation:
the hypotenuse is a² + b² = c²
so first we have to get 32 and 24 into ²
32² = 1024 (32 × 32)
24² = 576 (24 × 24)
1024 + 576 = 1600
now we need to find the square root of 1600
√1600 = 40 (calculator)
therefore, the hypotenuse is 40 kilometers
goodluck, hope this helped,
-cheesetoasty
find the slope, y-intercept. write the equation :).
slope: -4/5
y-int: 4
y=-4/5x+4
Lines CD and DE are tangent to circle A shown below: Lines CD and DE are tangent to circle A and intersect at point D. Arc CE measures 112 degrees. Point B lies on circle A. If Arc CE is 112°, what is the measure of ∠CDE? (4 points) Question 5 options: 1) 124° 2) 136° 3) 68° 4) 56°
Answer:
Option (3)
Step-by-step explanation:
By the theorem, angle between two tangents intersecting each other outside the circle is half of the difference between intercepted arcs.
From the figure attached,
Two tangents CD and DE are intersecting each other at point D outside the circle A.
Two intercepted arcs are minor arc CE and major arc CBE,
Measure of arc CE = 112°
Therefore, measure of major arc CBE = 360° - 112°
= 248°
m(∠CDE) = [tex]\frac{1}{2}(\text{arcCBE}-\text{arcCE})[/tex]
= [tex]\frac{1}{2}(248-112)[/tex]
= [tex]\frac{1}{2}\times 136[/tex]
= 68°
Option (3) will be the correct option.
Answer:
C
Step-by-step explanation:
1. A signal tower has two lights that are 30 feet apart from each other, one directly above the other. From
a boat, the angle of elevation of the lower light is 14 degrees, and the angle of elevation yo the upper
light is measured to be 32 degrees.
a) Find to the nearest foot the distance from the boat to the lower light.
b) The boat and the foot of the tower are in the same horizontal plane. Find to the nearest foot the
distance from the boat to the foot of the tower.
Solution :
It is given that the distance between the two lights is 30 feet.
The angle of elevation of the upper light from the boat, ∠ ABP = 32 degree
The angle of elevation of the lower light from the boat, ∠ ABQ = 14 degree
∴ ∠ PBQ = ∠ ABP - ∠ ABQ
= 32 - 14
= 18 degree
In triangle PAB
∠ PAB = 180 - (90 + 32)
= 58 degree
Similarly in triangle AQB
∠ AQB = 180 - (90 + 14)
= 76 degree
Now considering triangle PBQ and applying the sine theorem,
[tex]$\frac{PQ}{\sin 18}=\frac{BQ}{\sin 58}$[/tex]
we know PQ = 30 feet
∴ [tex]$BQ =\frac{\sin 58}{\sin 18} \times 30$[/tex]
= 82.33 feet
Again taking the right triangle ABQ and applying sine theorem,
[tex]$\frac{BQ}{\sin 90}=\frac{AB}{\sin 76}$[/tex]
[tex]$\frac{82.33}{\sin 90}=\frac{AB}{\sin 76}$[/tex]
∴ [tex]$AB = 82.33 \times \sin 76$[/tex]
= 79.88 ft
= 80 feet
-2x+6y=12 x-3y=3 graph the equations
Answer:
here ya go bruv:
Step-by-step explanation:
:3
Answer:
The graph, with the answers, is in the picture below.
Step-by-step explanation:
−2x + 6y = 12
Slope: [tex]\frac{1}{3}[/tex] y-intercept: (0, 2)
LINE COLOR: RED
x − 3y = 3
Slope: [tex]\frac{1}{3}[/tex] y-intercept: (0, −1)
LINE COLOR: BLUE
I need more answers and I don’t know how to make an account
Answer:
Well if your on chrome book sign out and select add person and make your new email and password and you have a new account.
Step-by-step explanation:
Hope this helps and have a wonderful day!!!
Answer:
Account for what, brain ly
Step-by-step explanation:
step 1: Go to sign up
step 2: create a email
step 3: create password
does anyone know the answer?? i’ll mark brainlists
is the Square root of 18 divided by 3 a rational or irrational number? explain using full sentences
Answer:
irrational
Step-by-step explanation:
[tex]\sqrt{18}[/tex] = [tex]\sqrt{9}[/tex] · [tex]\sqrt{2}[/tex] which is the same as 3[tex]\sqrt{2}[/tex]
3[tex]\sqrt{2}[/tex] divided by 3 equals [tex]\sqrt{2}[/tex], which is irrational
pls help with this !!
Answer:
25.12 so the nearest 10 is 25.10
f(x) = 3 x e^2x
That's the problem
Answer:
6 e (*2)x
Step-by-step explanation:
i hope this helps and the 2 is a square unit
Answer:
y = 0
Step by step explanition:
Oliver has created a plot of his backyard on the given coordinate plane, so that each unit length is one yard. He wants to design a right triangular plant bed for his backyard that has an area of eight square yards. After placing one vertex of the base of the plant bed at (3, 8) and one vertex at (7, 8) on his coordinate plane, he has to determine where to place the last vertex. Locate the possible locations of the last vertex on the coordinate plane.
Answer:
The possible locations are;
(3, 4), (3, 12), (7, 4), and (7, 12)
Please find attached the plot of the points created with Microsoft Excel
Step-by-step explanation:
The given parameters of the plot of Oliver's backyard are;
The area of the right triangular plant bed Oliver wants to design, A = 8 yd²
The length of a/each unit of the plot = 1 yard
The location of one of the vertex of the right triangular area = (3, 8)
The location of the other vertex of the right triangular area = (7, 8)
We note that the area of a triangle, A = 1/2 × Base length, B × Height, h
Let the distance between the two plotted point represent the base length, 'B', therefore;
B = 7 - 3 = 4 (We subtract only the x-values (7 and 3) given that the y-values (8 and 8) are the same;
Therefore, the base length, B = 4 yards
A = 1/2 × B × h
∴ A = 8 yd.² = 1/2 × 4 yd. × h
h = 8 yd.²/ 2 yd. = 4 yd.
The height of the right triangle, h = 4 yd.
Therefore the possible locations of the last vertex the right triangle on the coordinate plane, given that the first two points are parallel with the x-axis, are points 4 units above or the y-axis value of the plotted points with the x-value of the last vertex being either 3, or 7 as follows;
(3, 8 ± 4) or (7, 8 ± 4) which give points, (3, 4), (3, 12), (7, 4), and (7, 12).
Answer:
3,4 7,4
Step-by-step explanation:
Classify the triangle with the given side lengths: 5, 9, 10
Find the product of (2a+b)^2
Answer:
(2a+b)^2
4a^2 + 4ab + b^2
product=4
Answer:
4a²+b²+4abStep-by-step explanation:(2a+b)²=(2a)²+(b)²+2×2a×b(a+b)²=a²+b²+2abanswer:- 4a²+b²+4abCalculate the surface area of the figure:
54ft
198ft
21ft
108ft
Answer:
108
Step-by-step explanation:
If side 1 is 13, side 2 is 12, and side 3 is 18, can a triangle be made?
Answer:
no
Step-by-step explanation:
A square pyramid has a volume of 297 cubed feet. The width and length of the pyramid are
both 9. feet. Find the height of the pyramid.
Answer:
11
Step-by-step explanation:
H =V/(LxW)/3
H = 297/(9x9)/3
H = 297/(81)/3
H = 297/27
H = 11
Therefore, the height of the pyramid is 11ft square
Can someone please help me on this problem?
Answer:
$5820.07
Step-by-step explanation:
Substitute 243 into the equation for n:
[tex]c=117\sqrt[3]{243^{2} }+1264\\c=117\sqrt[3]{59049}+1264\\c=117*38.9407384+1264\\c=4556.06639+1264\\c=5820.06639[/tex]
Round 5820.06639 to the nearest hundredth:
5820.07
$5820.07
I want its solution and the unit is about algebraic fraction.
Answer:
3x²/(3x - 9y)
This should be the simplest form.
Step-by-step explanation:
Combine the fractions:
(5x² - 2x²)/((6x - 6y) - (3y - 3x))
Combine like terms:
3x²/(6x - 3x - 6y - 3y)
Solve.
3x²/(3x - 9y)
Answer:
9x^2
======
6(x - y)
Step-by-step explanation:
Begin by switching the - to a plus. Switch the x and y in the second denominator.
5x^2 2x^2
===== + ======
6x - 6y 3x - 3y
Pull out the common factors in both denominators. Use the distributive property.
5x^2 2x^2
===== + ======
6(x - y) 3(x - y)
Multiply both the numerator and denominator by 2 on the left had fraction.
5x^2 2*2x^2
===== + ======
6(x - y) 2*3(x - y)
5x^2 4x^2
===== + ======
6(x - y) 6(x - y)
Put both numerators over a common denominator. Notice that the + sign shifts up. It shifts up because both fractions have been changed to a common denominator.
5x^2 + 4x^2
===================
6(x - y)
Combine the two numerators since they are of the same power.
9x^2
======
6(x - y)
It costs Eduardo 2 d 3 dollars to go to the carnival for d days. How many dollars does the carnival cost if Eduardo goes for d 5 days?
Answer:
$250
Step-by-step explanation:
Given: Cost for d days carnival = $2d^3 .....(i)
where d is number of days
Now we have to calculate the total cost incured for 5 days of carnival
we can simply put d = 5 in above equation (i)
= 2×5^3 = 2×125 = $250.
Therefore carnival cost if Eduardo goes for d 5 days = $250
A graph of f(x) = 6^2 - 11x + 3 is shown on the grid
What are the zeros of f?
A. 3
B. 2 and 9
C. 11/12
D. 1/3 and 3/2
please help me with this math problem, the question is on the picture that i attached, ill mark brainliest if the answer is correct. NO links!
Answer:
5/12
Step-by-step explanation:
Think SohCahToa
Soh- Sin: opposite/hypotenuse
Cah- CoSin: adjacent/hypotenuse
Toa- Tan: opposite/adjacent
Opposite: The length on the opposite side of the angle.
Adjacent: The length next to the angle.
Hypotenuse: The longest side of the angle.
Help plzz need the answer and that explanation plz don't send a file I need help with question 21!! thx so much
Answer:
No, they cannot be becuase the points are too different- no same numerical
values.
Step-by-step explanation:
Margo wants new carpet and a new wallpaper border for her bedroom. The room is 5.7 yards long and 6 7 8 yards wide. About how many square yards of carpet will she need? About how many yards of wallpaper border will she need?
Answer:
39.19 yards^2
25.15 yards
Step-by-step explanation:
To determine the squares square yards of carpet needed, we have to determine the area of the room
The room is shaped like a rectangle
area of a rectangle = length x breadth
5.7 x 6 7/8
To multiply, convert 6 7/8 to a decimal
to do this, divide 7 by 8. Add the value gotten to 6
5.7 x 6.875 =39.19 yards^2
To determine the yards needed for the border, calculate the perimeter of the room
Perimeter = 2 x (length + breadth)
2 x(5.7 + 6.875) = 25.15 yards