Consider the toss of four coins. There are 16 (i.e., 24) possible outcomesin one toss. (a)Calculate the probabilities that there is a total number of (1) zero head, (2) one head, (3) two heads, (4) three heads, and (5) four heads appearing on the four coins, respectively.
Answer:
See answers below
Step-by-step explanation:
If 4 coins are tossed. the total possible outcomes are;
H H H H , H H H T, H H T H, H T H H, T H H H , H H T T, H T T H, T T H H, H T H T, T H T H, T H H T , H T T T, T H T T, T T H T, T T T H and T T T T
Total outcomes = 16
1) zero head = T T T T = 1 outcome
Probability = Expected/Total outcome
Pr(zero head) = 1/16
2) one head = H T T T, T H T T, T T H T, T T T H = 4 outcomes
Probability = Expected/Total outcome
Probability = 4/16
Pr(one head) = 1/4
3) two heads = H H T T, H T T H, T T H H, H T H T, T H T H, T H H T = 6 outcomes
Probability = Expected/Total outcome
Pr(two head) = 6/16
Pr(two head) = 3/8
4) three heads = H H H T, H H T H, H T H H, T H H H = 4 outcomes
Probability = Expected/Total outcome
Pr(three heads) = 4/16
Pr(two head) = 1/4
5) four heads appearing on the four coins = H H H H = 1 outcome
Pr(four heads) = 1/16
The surface areas of the two solids shown above are equal.
O A. True
O B. False
Answer:
False
Step-by-step explanation:
If we were to flip the solid on the left so its parallel to the solid on the right, we would be able to compare the two more easier.
We can see that the right solid has dimensions of:
L = 1 cm
W = 3 cm
H = 5 cm
The left solid has dimensions of:
L = 1
W = 2
H = 7
If we were to add these all up, they would not equal.
R: 1 + 3 + 5 = 9
L: 1 + 2 + 7 = 10
Your mom hands you a stack of utensils to set the table for a dinner party for nine people. If each place setting includes three utensils, how many utensils did your mom hand you? Use the equation = 3 to solve.
a. x=3
b. x=1
c. x= 27
d. X= 9
Answer:
C. x= 27
Step-by-step explanation:
what is "(1.2) x 3.05"
step by step
Answer:
3.66
Step-by-step explanation:
( 1.2 ) x 3.05 = 3.66
Sara is planning on fully renovating her kitchen. She figures that this will cost a total of $25,750. If Sandra already has $21,400 saved up, what annual interest rate
compounded semiannually would Sara need to earn in order to have the required
funds if she invests her money for 2.5 years?
Answer:
She needs an annual interest rate of 7.54%.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
She figures that this will cost a total of $25,750.
This means that [tex]A = 25750[/tex].
Sandra already has $21,400 saved up
This means that [tex]P = 21400[/tex].
Semianually compunding, 2.5 years.
This means that [tex]n = 2, t = 2.5[/tex]
What interest rate?
We have to find r. So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]25750 = 21400(1 + \frac{r}{2})^{2*2.5}[/tex]
[tex](1 + 0.5r)^5 = \frac{25750}{21400}[/tex]
[tex]\sqrt[5]{(1 + 0.5r)^5} = \sqrt[5]{\frac{25750}{21400}}[/tex]
[tex]1 + 0.5r = (\frac{25750}{21400})^{\frac{1}{5}}[/tex]
[tex]1 + 0.5r = 1.0377[/tex]
[tex]0.5r = 0.0377[/tex]
[tex]r = \frac{0.0377}{0.5}[/tex]
[tex]r = 0.0754[/tex]
0.0754*100% = 7.54%
She needs an annual interest rate of 7.54%.
2. The cost of a bicycle is * 2895. Find the cost of 1486 bicycles,
. A truck can carry 6785 kg of goods. How much can 759 trucks carry?
Answer:
4,301,970
5,149,815
Step-by-step explanation:
The cost of a bicycle is 2895
Therefore the cost of 1486 bicycles is
= 2895×1486
= 4,301,970
A truck can carry 6785 kg of food
Therefore the amount in which 759 truckj can carry can be calculated as follows
= 6785×759
= 5,149,815
1,2,2,4,8,32,? what comes next?
Answer:
64
Step-by-step explanation:
1 x 2 = 4
4 x 2 = 8
8 x 2 = 32
32 x 2 = 64
Answer:
256
Step-by-step explanation:
1, 2, 2, 4, 8, 32
this is how the pattern works;
1*2 = 2
2*2 = 4
2*4 = 8
4*8 = 32
8 * 32 = 256 by calculator
What is the sum of 4 x 10 and 3 x 10 written in standard form?
the sum is 70 seventieth 70th
Answer:
Step-by-step explanation:
Add together the multipliers 4 and 3 to get 7; then we have 7*10, or 70.
Find a polynomial f(x) of degree 3 that has the following zeros. -5, 8, 2 Leave your answer in factored form
Answer:
f(x) = (x+5)(x-8)(x-2)
Step-by-step explanation:
If we know the zeros, the polynomial is of the form
f(x) = (x-a)(x-b)(x-c) where a,b,c are the zeros
f(x) = (x - -5)(x-8)(x-2)
f(x) = (x+5)(x-8)(x-2)
Answer:
f(x) = (x + 5)(x - 8)(x - 2)
Step-by-step explanation:
Given a polynomial with zeros x = a , x = b , then the corresponding factors are
(x - a) and (x - b)
The polynomial is a product of the factors, that is
f(x) = (x - a)(x - b)
Here the zeros are x = - 5, x = 8, x = 2, then corresponding factors are
(x - (- 5)), (x - 8), (x - 2) , that is
(x + 5), (x - 8), (x - 2) and the polynomial is
f(x) = (x + 5)(x - 8)(x - 2)
Simplify:
3 - 45
3 +41
Plz help ASAP 31 pts
Answer:
Step-by-step explanation:
3 - 45 = -42
3 + 41 = 44
I'm not sure if this is right
A riddle for the day
I am less than 7 tens and more than 4 tens I am a odd number if you add both my digits you will get 11 which number am I?
47
65
67
74
Answer:
two of them are possible which one is the correct
Find the vertex of this quadratic!
Answer:
3,2
Step-by-step explanation:
The vertex is just the lowest or highest point of a parabola.
Answer:
(3, 2)
Step-by-step explanation:
The vertex of this quadratic is also the minimum value. By inspection we see that the y-coordinate of the minimum is 2 and the x-coordinate is 3. Thus, the vertex is (3, 2).
Find the measure of angle A.
Answer:
m∠A = 108º
Step-by-step explanation:
The total of the angles in a four sides figure is 360
x + 2x + 3x + 4x = 360
Combine like terms
10x = 360
Divide both sides by 10
x = 36
------------------
m∠A = 3x
m∠A = 3(36)
m∠A = 108
z^2+x-x: use x=3, and z=-2
Answer:
31 and 4
Step-by-step explanation:
6A+5C=112.50
8A+4C=130
Answer:
Is there a follow-up question you forgot to add?
Step-by-step explanation:
Answer:
(C,A) = (15/2, 25/2)
Step-by-step explanation:
this seems to be this answer above !hope this helps !!!
HELP ME PLEASE I REALLY NEED THE HELP
Answer:
Answer = 126 square inches
Step-by-step explanation:
Square area formula is Area = s^2 (replace the s with the side length)
Square area --> Area = 4^2 Area = 16in
Parallelogram area formula is Area = h * b (replace h with height length and replace b with base length)
Parallelogram area --> Area = 3.5 * 10 Area = 35
Rectangle area formula is Area = w * h (replace width and height)
Rectangle area --> Area = 12.5 * 6 Area = 75
Then add them all up 75 + 35 + 16 = 126 square inches
Please answer the question
Answer:
[tex]35.33\ m^3[/tex]
Step-by-step explanation:
Given that,
Height of the cylindrical well, h = 20 m
The diameter of the well, d = 1.5 m
Radius, r = 0.75 m
We need to find the volume of the well. This will be the amount that is dug out to make a well. So,
[tex]V=\pi r^2 h\\\\V=3.14\times (0.75)^2\times 20\\\\V=35.33\ m^3[/tex]
So, [tex]35.33\ m^3[/tex] soil was dug out to make a well.
2.
What percent of the bar below is shaded?
You MUST write your answer in a percent, NOT a fraction.
3 out of 5 bars
Answer:
60%
Step-by-step explanation:
1 of 5 is 20%
2 of 5 is 40%
3 of 5 is 60%
4 of 5 is 80%
5 of 5 is 100%
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
30
you can easily find out the answer by multiplying 2/3 by 10 on both the numerator and denominator to get 20/30 which is the amount of people that like the chip flavor. the other 10 is the people that don't like it.sorry if I gave you a stroke but 20 people like the chip and 10 people don't so theres 30 people in total
solve the triangle please
Answer:
b
Step-by-step explanation:
b
helppppppppppppppppppppppppppppppp helpppppp
Answer:
R (3,-4)
S (3,-1)
T (1,-4)
Step-by-step explanation:
it goes over right 1 then down five so the new point of r for example is (-1,-4) then over the y axis so the new t is (1,-4)
PLEEAASEEE HHELPPPP!!!!!!! How can you use the order in which the 4 aces are arranged to pick the secretary from among 24 candidates?
Answer:
There are 24 candidates. Counting rule three states that N objects can be arranged in N! different ways. So, 4 different aces can be arranged in 4! = 24 ways, and each of the 24 candidates can be assigned a unique sequence of aces.
Step-by-step explanation:
this is the sample answer
Answer:
each 24 candidates can be assigned a certain ace
Step-by-step explanation:
i said that
Numbers 1 to 20 are placed in a bag. Without replacing the first
number, what is the probability that the first number drawn will
be odd and the second will be even?
Answer:
Step-by-step explanation:
odd numbers=10
even numbers=10
P=10/20×10/19=5/19
Can someone please help.
Answer:7-10
Step-by-step explanation:
In this question it is asking what is the biggest change in the temperature that happened "next to the other one" on the table
And the change from 7-10 is the highest change that is "next to each other"
Emelia pays $24 to rent a boat at the lake for up to 6 hours she constructs the inequality and number line below to represent the number of hours x she can use the boat
Answer:
She has an initiall amount of 6 hours, so if T is the amount of time that passed since she rented the boat, the inequality that describes this system is:
0≤ T ≤ 6
This means that she can use the boat from 0 hours to 6 hours, here we are allowing the intermediate values because, of course, she can return the boat earlier than in the given time.
From this we have that the maximum time left that she has can be written as:
x + T = 6
so if T = 3h, meaning that 3 hours passed, she has:
X + 3 = 6
x = 6 - 3 = 3
3 hours left.
Step-by-step explanation:
A jacket selling for $48 was on sale at 20% off. Find the sale price of the jacket. To estimate, round the original price to the nearest $10 answer key for
question
Find all six trigonometric ratios for the triangle shown. Show all work. In order to enter
mathematical text, click "Insert" and then "Equation".
20
Ꮎ
15
Answer:
use the required formulas please !Please solve
l = 44 cm, w = 27 cm, h = 89 cm
Answer:
160 Total
Step-by-step explanation:
105,732cm3
44x27x89= 105,732.
hope this helps <3
Please help me with this
Answer:
x = 5
m∡B = 66°
Step-by-step explanation:
these two angles are same-side interior angles, which are supplementary
8x + 74 + 2x + 56 = 180
10x + 130 = 180
10x = 50
x = 5
m∡B = 2(5) + 56 = 66°
Calculate the stroke of a slider-crank where the crank radius is 4.13 inches and the coupler is 5 inches.
Answer:
[tex]x=8.268 inches[/tex]
Step-by-step explanation:
From the question we are told that:
Radius [tex]r=4.13[/tex]
Coupler [tex]C= 5 inches.[/tex]
Generally the equation for Stroke in a slider-crank Mechanism x is mathematically given by
[tex]x=2* Radius[/tex]
[tex]x=2*4.13[/tex]
[tex]x=8.268 inches[/tex]