Answer:
65.3%
Step-by-step explanation:
P(2,3, OR 4)
You have to do each one individually then add them together
5C2(.4)^2 times (.6)^3 + 5C3(.4)^3 times (.6)^3 + 5C4(.4)^4 times (.6)^1=
.3465+.2304+.0768=.6528=65.3%
A telephone pole casts a shadow that is 12 feet long. At the same time, a man standing nearby who is 6 feet tall casts a shadow that is 2 feet 4 inches long. How tall is the
telephone pole to the nearest foot?
The telephone pole is feet tall
Answer:
31 feets
Step-by-step explanation:
Given that :
Telephone shadow Ts = 12 feets
Man's height, Mh= 6 feets
Man's shadow, Ms = 2 feets 4 inches
Height of telephone, Th =?
Recall :
1 foot = 12 inches
x foot = 4 inches
12x = 4
x = 4/12 = 1/3 inches
Hence, man's shadow = 2 1/3 feets =
Using cross multiplication :
Mh / Ms = Th / Ts
6 / 7/3 = Th / 12
6 / 2.33333 = Th / 12
12 * 6 = 2.33333 * Th
72 = 2.33333 Th
Th = 72 / 2.333333
Th = 30.85
Height of telephone pole = 31 feets
Let u = x ^ 2 + 3 . Which equation is equivalent to (x ^ 2 + 3) ^ 2 + 21 = 10x ^ 2 + 30 in terms of u?
Answer:i think that it is B
u^2 - 10u + 51=0
Step-by-step explanation:
Which terms are like terms?
4c, 2, 6f, -5, and 7c
Answer:
2 and -5
4c and 7c
Step-by-step explanation:
2 and -5 have no coefficient
4 and 7 have the same coefficient which in this case is c.
therefore the two pairs are like terms.
For Mother's Day, Meghan bought her mother flowers that cost $25.34 and a card that was $2.99. She also bought herself a candy bar. If she paid with three $10 bills and got 58 cents back, how much was her candy bar.
Answer:
1.10
Step-by-step explanation:
Answer:
$1.09
Step-by-step explanation:
3 10 dollar bills is $30
$30 - $25.34 - $2.99 - $0.58 = $1.09
A ball moves in a straight line has an acceleration of a(t) = 2t + 5. Find the position function of the ball if its initial velocity is -3 cm per second and it’s initial position is 12 cm.
Answer:
[tex]s(t) = frac{t^3}{3} + \frac{5t^2}{2} - 3t + 12[/tex]
Step-by-step explanation:
Relation between acceleration, velocity and position:
The velocity function is the integral of the acceleration function.
The position function is the integral of the velocity function.
Acceleration:
As given by the problem, the acceleration function is [tex]a(t) = 2t + 5[/tex]
Velocity:
[tex]v(t) = \int a(t) dt = \int (2t+5) dt = \frac{2t^2}{2} + 5t + K = t^2 + 5t + K[/tex]
In which K is the constant of integration, which is the initial velocity. So K = -3 and:
[tex]v(t) = t^2 + 5t - 3[/tex]
Position:
[tex]s(t) = \int v(t) dt = \int (t^2 + 5t - 3) = \frac{t^3}{3} + \frac{5t^2}{2} - 3t + K[/tex]
In which K, the constant of integration, is the initial position. Since it is 12:
[tex]s(t) = frac{t^3}{3} + \frac{5t^2}{2} - 3t + 12[/tex]
Which of these lines is perpendicular to the line 5y = -6x + 2?
Answer:6y= -5x + 3
Step-by-step explanation:
The product of the slope of the perpendicular lines is equal to a negative one. Then the equation of the perpendicular line is 6y = 5x.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The equation of the line is given below.
5y = -6x + 2
The slope of the equation is -6/5.
Then the equation of the line which is perpendicular to 5y = -6x + 2 is given as
y = mx + c
The product of the slope of the perpendicular lines is equal to a negative one.
The slope of the perpendicular line will be
(-6/5) m = -1
m = 5/6
Then the equation will be
y = (5/6)x + c
Let the equation is passing through the origin, then we have
6y = 5x
More about the linear system link is given below.
https://brainly.com/question/20379472
#SPJ2
if jason had2/7 cakes and 5/9 how much wood that be
Erin has two cats. The larger cat weighs 2.6 pounds more than the smaller cat. The combined weight of the two cats is 19.6 pounds. What is the weight, in pounds of the smaller cat?
Answer:
7.2
Step-by-step explanation:
just divide the total weight by 2 and add 2.6. after adding 2.6 you subtract that weight from the total.
Frequency of y=sin0/3
Answer:
y=sin(°/3) means that y equals the sine of a given degree divided by 3.
Write as a money amount and as a decimal in terms of dollars
33/100
Answer:
$0.33 or 33¢
Step-by-step explanation:
33/100 = 0.33 = $0.33
what is the constant rate change shown in the graph below?
Answer:
the two points be
(0,0) and (1,-3)
slope [m]=[-3-0]/[1-0]=-3
constant rate is-3.
What kind of angle is this?
>) obtuse angle
acute angle
straight angle
right angle
Answer:
acute?
Step-by-step explanation: wheres the shape??
Answer: no picture?
Step-by-step explanation:
Write the equation of the line perpendicular to x= -3 through the point (-5,-4)
Answer:
y= - 4
Step-by-step explanation:
given the system of equations, what is the value of the system to determinant.
x + y = 8
x + y = 10
-----------------
-2
-1
0
Answer:
0
Step-by-step explanation:
given the system of equations, what is the value of the system to determinant.
x + y = 8
x + y = 10
This can be written in the form AX = b
A is a 2 by 2 matrices
b is a column matrix
Taking the determinant of A
[tex]A =\left[\begin{array}{ccc}1&1\\1&1\\\end{array}\right][/tex]
We are to finds the determinant
|A| = 1(1) - 1(1)
|A| = 1 -1
|A| = 0
hence the required determinant is 0
PLEASE LIKE HONESTLY PLEASE
Answer:
250 in²
Step-by-step explanation:
There are four identical rectangles so therefore area of one rectangle times 4. Then add the sum of the areas of the two identical squares.
4( l x b) + 2( l x b)
4( 10 x 5) + 2(5 x 5)
4(50) + 2(25)
200 + 50
Therefore 250 in²
Distribute this expression: ab(5c+9)
Answer:
9b+5cb
Step-by-step explanation:
ABC Bookstore sells packages of books that include both new and used books. New books cost $16 and used books cost $8. The bookstore wants to sell packages that have 30 books total, and the store charges $336 for each package. How many new and used books will be in each package?
A. 318 new, 12 used
B. 12 new, 18 used
C. 16 new, 8 used
D. 8 new, 16 used
(It's B, just took the test)
Answer:
b
Step-by-step explanation:
the following equations can be determined from the question
16n + 8o = 336 equation 1
n + o = 30 equation 2
where n = new books
o = old books
Multiply equation 2 by 8
8n + 8o = 240 equation 3
subtract equation 2 from 1
8n = 96
n = 12
substitute for n in equation 2
12 + o = 30
o = 18
Answer:
B. 12 new, 18 used
Step-by-step explanation:
Hope this helps!
which model shows all of these numbers correctly placed one the number line
Answer:
2nd
Step-by-step explanation:
bec 1\8 = 0.125 so it must be close more to 0
and the 1.33 is bigger than 1.25
Find the surface area of the following figures.
with solution please. T-T
Answer:
1.a=5cm
Surface area :6a²=6×5²=150cm²
2.r=3cm
h=5cm
total surface area of cylinder =2πr(r+h)
=2π×3(3+5)=48π cm²
3.
l=4m
b=5m
h=2m
now.surface area =2(lb+lh+bh)
=2(4*5+4*2+5*2)
=76m²
4.
r=6cm
surface area =4πr²=4*π*6²=144πcm²
5.
slant height (S)=8cm
length =breadth=(L)=4cm
Surface area of pyramid =area of base + 2* area of trainglular face
=L²+2*S*L
=4²+2*8*4
=80cm²
What is the perimeter, in -inches, of the square shown below? A 8 B 16. C 32 D 64
Answer:
The perimeter, in inches, is 32.
Step-by-step explanation:
Since this shape is a square, we know that all sides are equal.
The information given to us is that one side of the square measures 8 inches.
8 + 8 + 8 + 8 = 32
Answer:
c 32
Step-by-step explanation:
Squares have 4 sides of the same length
8 * 4 = 32
Help me plsssssssssssss
9514 1404 393
Answer:
8.4
Step-by-step explanation:
The given segment relations tell you that the parallel lines are equally spaced. This means that ...
WV = 3×WY
WV = 3×2.8
WV = 8.4
I NEED THIS BY TOMORROW!!! PLEASE HELP!3. The FBI nicknamed the robbers "The Charm School Boys," because they are so nice and polite and
they don't use weapons or threats. One of the possible reasons why they are able to execute the 14400
robberies so efficiently is that plan for everything. In order to map out their escape routes, it is
important the back allies of the banks form right angles. Prove angle x is a right angle
Y2400
Elmst
-phooh
Phoes-
Oakst
120
300yd-
Walnut St
Back
Alley
Answer:
the x is 90
because its special trangle 3 4 5 but multiplied by 100
HELP!!! Find the angle measure.
Answer:
AOB=40°
COD=90°
BOD=130°
AOD=180°
I need some help!! I will try to give brainliest!!!
the product of nine, y and x not simplified.
Answer:
9yx
Step-by-step explanation:
product means multiply.
nine, y and x
9yx
Hello i need some help
Find the surface area of the composite solid.
Answer:
343.6 meters cubed
Step-by-step explanation:
28+96+96+96+27.6=343.6
What is A line that a graph approaches as x or y increases, but never crosses?
Answer:
Asymptotes. The y -axis is a vertical asymptote of the graph. This means that the curve gets closer and closer to the y -axis but does not cross it. Let us consider what happens as the value of x approaches zero from the right for the equation whose graph appears above.
Step-by-step explanation:
5. A simple random sample is defined by
(A) the method of selection
(B) how representative the sample is of the population
(C) whether or not a random number generator is used
(D) the assignment of different numbers associated with the outcomes of some
chance situation
(E) examination of the outcome
Answer:
b. because if there is a bigger population the sample will be more random
Cars enter a car wash at a mean rate of 3 cars per half an hour. What is the probability that, in any hour, at least 3 cars will enter the car wash
Answer:
0.938
Step-by-step explanation:
Using the poisson probability relation:
P(x = x) = (e^-λ * λ^x) ÷ x!
λ = 3 per half an hour = 6 cars per hour
P(x ≥ 3) = 1 - [p(x = 0) + p(x = 1). + p(x = 2)]
P(x ≥ 3) = (e^-6* (6^0 + 6^1 + 6^2/2!))
P(x ≥ 3) = 1 - (e^-6 * (1 + 6 + 18)
P(x ≥ 3) = 1 - (e^-6 * 25)
P(x ≥ 3) = 1 - (0.0024787 * 25)
P(x ≥ 3) = 1 - 0.0619688
P(x ≥ 3) = 0.9380311
= 0.938