Answers
Answer: [tex]0.0756,\ 0.7599[/tex]
Step-by-step explanation:
Given
Probability that a coin will land head is [tex]0.3[/tex] i.e. probability of success is [tex]p=0.3[/tex] So, the probability of failure is [tex]q=1-0.3=0.7[/tex]
Using Binomial distribution for [tex]n=4[/tex]
(a) Probability that the coin will lead heads exactly 3 times
[tex]\Rightarrow P(3)=^4C_3(0.3)^3(0.7)^1\\\Rightarrow P(3)=4\times 0.7\times (0.3)^3\\\Rightarrow P(3)=0.0756[/tex]
(b)Probability that the coin lands head at least once
[tex]\Rightarrow 1-P(0)\\\Rightarrow 1-^4C_0(0.3)^0(0.7)^4\\\Rightarrow 1-1\cdot(0.7)^4\\\Rightarrow 0.7599[/tex]
Related Questions
What is the volume, in cubic m, of a cube with an edge length of 11m?
A rectangular prism has a length of 17m, a height of 18m, and a width of 17m. What is its volume, in cubic m?
Answers
For the Q
17x18x17=5202 m^3
For the rectangular prism
I'll give brainliest
Answers
Answer:
7 oof
Step-by-step explanation:
Find the area of the figure.
14 m
5 m
16 m
Answers
Answer:
Step-by-step explanation:
Seperate the shape into two. 16x2=32cm². 12x11=132cm²
So altogether it would = 164cm²
The manager of a snack bar buys bottled water in packs of 35 and candy bars in packs of 20. Then, she sells the items individually. Yesterday, she bought the same number of water bottles as candy bars to sell at the snack bar. If she bought the lowest number of items possible, how many packs of each item did she buy?
Answers
[tex]\Huge\bf{\underline{\red \dag { Aиѕωєя }}} \red \dag[/tex]
4 Packs of water and 7 Packs of candy bars.
So, we wanna know the smallest number that both 35 and 20 will go into.
Find the Least Common Multiple (LCM), but to find the LCM we need to find the prime factorization of each of the following number :-
[tex] \sf {35 = 5(7)}[/tex]
[tex] \sf \red {20 = 5(4)}[/tex]
[tex] \sf {4 = 2(2)}[/tex]
[tex] \sf \red {20 = 5(2)(2)[/tex]
~Now multiply all the numbers by 5 :-
[tex] \sf \pink{5(7)(2)(2) = 35(2)(2) = 70(2) = 140}[/tex]
This means she needs 140 bottles of water and 140 candybars.
Water is sold in packs of 35, this means that she needs :
[tex] \sf \orange{ \frac{140}{35} = 4\: packs \: of \: water}[/tex]
Candy bars are sold in packs of 20, this means she needs :
[tex] \sf \green{ \frac{140}{20} = 7 \: packs \: of \: candy \: bars}[/tex]
_________________________
Which shows how to determine the volume of the pyramid?
Answers
Answer:
d would be correct
Step-by-step explanation:
A pyramid is a polyhedron formed by connecting a polygonal base and an a a p e x. The basic formula for pyramid volume is the same as for a cone: volume = (1/3) times base area times height, where height is the height from the base to the a p e x. That formula is working for any type of base polygon and oblique and right pyramids.
Select the correct answer from each drop-down menu. The length of side PQ is units. The length of side QR is about units. The perimeter of the parallelogram PQRS is about units. Reset Next
Answers
Answer:
The length of side PQ is 2 units.
The length of side QR is 2.24 units.
The perimeter of the parallelogram PQRS is about 8.48 units.
Step-by-step explanation:
The given figure is as follows :
To find - The length of side PQ is ....... units.
The length of side QR is about ......... units.
The perimeter of the parallelogram PQRS is ........
Solution -
From the figure , we can see that
P = (-5, 3)
Q = (-3, 3)
R = (-4, 1)
S = (-6, 1)
Now,
By distance formula, we get
PQ = √(3 - 3)² + (-3 + 5)²
= √0 + 2²
= √4
= 2
∴ we get
The length of side PQ is 2 units.
Now,
QR = √(1 - 3)² + (-4 + 3)²
= √(-2)² + (-1)²
= √4 + 1
= √5
= 2.236
∴ we get
The length of side QR is 2.24 units.
Now,
We know that,
Perimeter of Parallelogram = 2(a + b) where a is the base and b is the side
Here Given that,
a = 2
b = 2.24
So,
Perimeter of parallelogram PQRS = 2(2 + 2.24)
= 2(4.24)
= 8.48
∴ we get
The perimeter of the parallelogram PQRS is about 8.48 units.
Answer:
PQ 2 units
QR 2.24 units.
Step-by-step explanation:
i did the test
Which graph represents the solution to the inequality 3 + 5/2x ≥ 2 − 132?
Answers
Answer:
Option D.
Step-by-step explanation:
We have the inequality:
3 + (5/2)*x ≥ 2*x - 13/2
First, let's try to isolate x in one side of the inequality:
3 + (5/2)*x ≥ 2*x - 13/2
(5/2)*x ≥ 2*x - 13/2 - 3
(5/2)*x - 2*x ≥ - 13/2 - 3
Now all the terms with an x are in the left, and the terms without are in the right.
We can rewrite this inequality as:
(5/2)*x - (4/2)*x ≥ - 13/2 - 6/2
(1/2)*x ≥ -19/2
Now, multiplying both sides by 2 we get:
2*(1/2)*x ≥ (-19/2)*2
x ≥ - 19
So the graph will be a solid point in x = -19, and a ray that extends to the right (the values that are larger than -19)
The correct option is the last graph, option D.
Complete the equation so it will have no solution. 5x - 8 = _ +2
Answers
Answer:
5x
Step-by-step explanation:
If the blank were to be occupied with 5x there would be no solutions
Observe...
5x - 8 = 5x + 2
* subtract 5x from each side *
5x - 5x cancels out
5x - 5x cancels out
we're left with -8 = 2
which is not true
Hence if the blank = 5x the equation will have no solution
please help like waaa everywhere it comes up that its impossible
Answers
Answer:
Step-by-step explanation:
If we subtract 7 from both sides, we get -2 on the right. This is not possible, since absolute values are always 0 or greater.
Help asap please I really need it!
Answers
Answer:
[tex]volume = \frac{4}{3} \pi r^3\\\\Radius = 2 , volume = \frac{32\pi }{3}cm^3 \\\\Radius = 3, volume = 36\pi cm^3 \\\\Radius = 4, volume = \frac{256\pi }{3} cm^3\\\\Radius= 6, volume = 288\pi cm^3[/tex]
the area of the parking space shown at the right has an area of 156 ft squared a custom truck has regular dimensions 12.5 ft by 5.3 ft can the truck fit into the space justify your answer
Answers
Answer:
It will fit
Step-by-step explanation:
165 / 15 = 11
So b = 11
12.5 can fit in 15
and 5.3 can fit in 11 so it will fit.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
PLEASE HELP ME ASAP!!! No links please and please give a step by step explanation
Is 547 a term in the sequence 1,8,15,22,29?
Answers
Answer:
no
Step-by-step explanation:
answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4
step-by-step explanation:
polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!
complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.
the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7
verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.
a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.
The train journey between London King's cross and Durham is 2hours and 50 minutes. If a train leaves London at 08:40 at what time doses it arrive in Durham?
Answers
Answer:
11:30
Step-by-step explanation:
8:40 + 2 hours = 10:40
10:40 + 20 min = 11:00
11:00 + 30 min = 11:30
Urgent Need Help! worth 100 points
Answers
the answer to your question is 4 times 6, 4 times 3 + 4 times 3
have a nice day
Answer:
the answer to this math question is
4 times 6, 4 times 3 + 4 times 3
Step-by-step explanation:
Aleks Verfied
For each sentence, drag a word that will make the statement true.
Words may be used once or more than once.
always returned to choices list.
sometimesalwaysnever
Equilateral triangles are
acute triangles.
Scalene triangles are
acute triangles.
Right triangles are
acute triangles.
Obtuse triangles are
isosceles triangles.
Answers
Answer:
Equilateral triangles are always acute triangles.
Scalene triangles are sometimes acute triangles.
Right triangles are never acute triangles.
Obtuse triangles are sometimes isosceles triangles.
Step-by-step explanation:
Equilateral triangles are always acute because each angle is 60⁰.
Scalene triangles have sides that are different lengths. They can be right, obtuse, or acute.
A right triangle is never acute because it has a 90⁰ angle. Acute means all angles are less than 90⁰.
An obtuse triangle can be either scalene or isosceles. It always has one angle greater than 90⁰ (obtuse).
Which angle measure is the measure of a straight angle? 100° 0° 90° 180°
Answers
Answer:
180° degrees is a straight angle
Step-by-step explanation:
Answer:
180 degrees
Step-by-step explanation:
A full circle is 360 degrees
A half circle is a straight angle
a straight angle is 180 degrees
What is the longest line segment that can be drawn in a right rectangular prism that is 12 cm long, 11 cm wide, and 8 cm tall?
Answers
Answer:
The answer is 18.1
A child swallowed a substance with an LD50 of 6 mg/kg of body weight. It is crucial that the child's stomach be pumped promptly as the material is highly poisonous.
False
True
Answers
Yes, It is crucial that the child's stomach be pumped promptly as the material is highly poisonous.
How to LD50 represents?The LD50 is a Lethal dose and 50 represents 50 percent of the test animal's population, that is it will be lethal to half of the tested animals. The amount of a toxic agent (such as a poison, virus, or radiation) that is powered to wipe 50 percent of a population of animals on which it is tested.
Therefore, It is crucial that the child's stomach be pumped promptly as the material is highly poisonous.
Learn more about LD50 here: https://brainly.com/question/10042271
#SPJ2
What is the distance between the following points?
y
5
3
2
1+
++
-9-8-7 -6 -5 -4 -3 -2
-24
-3
-4+
.
Answers
Answer: c. √65
Step-by-step explanation:
that’s what’s right on khan
Which equation has a constant of proportionality equal to 10? Choose 1 answer: Choose 1 answer:
Answers
Please help!! Also please show how to do problem!
Answers
Answer:
118000 thousand cents. Jdbduxb
938.120 in word form please
Answers
Answer:
nine hundred thirty-eight one hundred twenty thousandths
Step-by-step explanation:
help asap, with good explaination please
Answers
Answer:
60 cubes
Step-by-step explanation:
10 times 6
6 are in each layer but there are 12 going down layer by layer
so 10 times 6 equal 60
the actuall answer is 60
= 60
could you help me by chance?
Answers
Answer:
27.5
This is because you plug the numbers into the equation. Hope this helps!
Simplify -2.3f + 0.8f - 16 - 3
Answers
Answer:
− 1.5 f −19
that's the correct answer.
1. The Community Wading Pool is in the shape of a circle. If the radius of the pool is 28 feet, what is the distance around the pool? I need help
Answers
Answer:
28 feet
Step-by-step explanation:
thank you the same as the guy above me
45 yd
24 yd
What is the length of the hypotenuse?
Answers
I plugged it into a calculator good luck
Answer:
51
Step-by-step explanation:
A^2+b^2=c^2
That's the formula
which three triangles are similar
Answers
Answer:
We need an image.
20 points! HURRYYEYYEHE
in which direction must the graph of f(x) = 7^x be shifted to produce the graph of g(x) = 7^x + 7?
a. left
b. up
c. right
d. down
Answers
Answer:
b. up
Step-by-step explanation:
Please help me with this math problem
Answers
Answer:
80.6 m
Step-by-step explanation:
Coordinates of the points P and Q are (0, 0) and (40, 70) respectively.
Length of the shortcut can be found by using distance formula between two points P and Q.
Length of the shortcut
[tex] = \sqrt{ {(40 - 0)}^{2} + {(70 - 0)}^{2} } \\ \\ = \sqrt{ {40}^{2} + {70}^{2} } \\ \\ = \sqrt{1600 + 4900} \\ \\ = \sqrt{6500} \\ \\ = 80.6225775 \\ \\ \approx \: 80.6 \: m[/tex]