Answer:
1/81
Step-by-step explanation:
P(H,H,H,H)=16/81
fourth root of 16/81= 2/3
so the probability of getting tails would be 1/3
probability of getting 4 tails would be:
P(T,T,T,T)=(1/3)^4
=1/81
The probability of getting 4 tails when the coin is thrown 4 times is 1/81
How to determine the probability?We have:
P(Head 4 times) = 16/81
This means that:
P(Head)^4 = 16/81
Take the 4th root of both sides
P(head) = 2/3
The probability of a tail is calculated as:
P(tail) = 1 - P(Head)
This gives
P(tail) = 1 - 2/3
P(tail) = 1/3
When thrown 4 times, we have:
P(tail)^4 = (1/3)^4
P(tail) = 1/81
Hence, the probability of getting 4 tails when the coin is thrown 4 times is 1/81
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The population of a certain city be modeled by y=7870(1.01)^x where x is the number of years since the city was founded and y is the population.
Answer:
B.
Step-by-step explanation:
We are given the function:
[tex]y=7870(1.01)^x[/tex]
Which represents the population of a certain city x years after it was founded.
The y-intercept is the y-value when x = 0. So:
[tex]y(0)=7870(1.01)^0=7870(1)=7870[/tex]
If x = 0, this means that zero years have passed since the city was founded.
So, the y-intercept represents the initial amount of people when the city was founded (in this case, there were 7870 people).
The correct answer is B.
Which of these lengths could be the sides of a triangle?
A) 5 cm, 19 cm, 14 cm
B) 14 cm, 24 cm, 8 cm
C) 19 cm, 5 cm, 15 cm
D) 24 cm, 14 cm, 9 cm
Answer:
c
Step-by-step explanation:
in order for it to be a triangle the smaller sides have to add up to be greater than the longest side
for a 5+14=19 so that is not a triangle because the side dont add up to be greater than 19
for b 14+8=22 so that is also not a triangle because the sides dont add up to be greater than 24
for c 5+15=20 so that is a triangle because to 2 shorter sides added are greater than the longest side
for d 14+9=23 so that is not a triangle because the two smaller sides dont add up to be greater than 24
you start at 5,4 and move 2 units left and 2 units down
Answer:
(3,2)
Step-by-step explanation:
y=2x+5,y=0.5x-1 solve
Answer:
y=2x+5............(1)
y=0.5x-1...........(2)
Step-by-step explanation:
equalizing equation (1)&(2),we get
2x+5=0.5x-1
2x-0.5x=-1-5
1.5x=-6
x=-6/1.5=-4
substituting value of x in equation (1),we get
y=2×-4+5=-8+5=-3
Many U.S. employees received a 3% raise in 2012. Suppose an employee made $47,000 in 2011 and received a 3% raise. What did she make in 2012?
Answer:
48,410
Step-by-step explanation:
47,000 + 3% = 48,410
39 divided (2+1) - 2x(4+1)
the answer is,
[tex]13 - 10x[/tex]
The equation y
= 10x + 15 represents a gym that charges. What is the slope and y-intercept?
Answer:
Slope=10 Y=15
Step-by-step explanation:
Goes up by 10
Starts at 0,15
The slope of an equation is 10 and the y-intercept is 15. Therefore, option B is the correct answer.
What is the equation of a line?The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
Given that, the equation y= 10x + 15 represents a gym that charges.
By comparing y=10x+15 with y=mx+c, we get
Slope (m)=10 and y-intercept (c)=15
Therefore, option B is the correct answer.
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What property is demonstrated in the equation below? 4(5 + 3) = (5 + 34 associative commutative o distributive zero product
Answer:
Distributive Property
Step-by-step explanation:
4*(5+3) basically equals 4*5 + 4*3 which is 20 + 12 which is 32.
Answer:
distributive
Step-by-step explanation:
i took this test
GEOMETRY: You are building a shelf that fits in a corner. In the figure, the entire shelf is IJK . Each unit in the coordinate plane represents one inch.
Answer:
A= 12.5 inches²
Step-by-step explanation:
a=1/2bh
a=1/2(5)5
a=1/2(25)
a= 12.5
(-3a^2 + 4a -5 +6a^3) + (-3a + 4 + 10a^2)
Answer
=6a3+7a2+a−1
Step-by-step explanation:
Let's simplify step-by-step.
−3a2+4a−5+6a3−3a+4+10a2
=−3a2+4a+−5+6a3+−3a+4+10a2
Combine Like Terms:
=−3a2+4a+−5+6a3+−3a+4+10a2
=(6a3)+(−3a2+10a2)+(4a+−3a)+(−5+4)
=6a3+7a2+a+−1
Can someone please help me????
Answer:
No
Step-by-step explanation:
No, because BA is the same side as EF and the difference is 5. But CA is the same side as ED and the difference is 7.5. All sides would have to increase or decrease by the same number to get to the other triangle and in this case they do not.
please please help.
What is the total bill for a $54 dinner with a 5% sales tax and a 20% tip?
Answer:
%68.04
Step-by-step explanation:
What is the point on the unit circle for the angle below? Help Res 60° (1.0) 2 ?] 2 ) 9 2 Enter
Answer:
1 and 3
Step-by-step explanation:
Answer:
The answer is
[tex] \frac{1}{2} \: and \: \frac{ \sqrt{2} }{2} [/tex]
Step-by-step explanation:
Let The point (X, Y)
Since half of the diameter is equal to 1
Then
[tex] {x}^{2} + {y}^{2} = 1[/tex]
Why is the measurement of angle is equal to 60, this triangle was equal
Then
[tex] {(x - 1)}^{2} + {y}^{2} = 1[/tex]
By comparing the equals together
[tex] {x}^{2} = {(x - 1)}^{2} \\ {x}^{2} = {x}^{2} - 2x + 1 \\ 2x = 1 \\ x = \frac{1}{2} \\ Compensation \: in \: any \: equation \\ then \: y = \frac{ \sqrt{2} }{2} [/tex]
A petting zoo has 7 lambs, 12 rabbits, 6 goats, and 3 piglets. Find the
ratio of rabbits to the total number of animals. Write the ratio in
simplest form.
Answer:
3:7
Step-by-step explanation:
The number of rabbits is 12 while the total number of animals
7 + 12 + 6 + 3 = 28
So the ratio of rabbits to animals is 12:28 = 3:7
Find the value of x so that f(x)=3
Answer:
f(x) = (1/3)x - 2
f(x) = (1/3)(3) - 2
f(x) = 1 - 2 = -1
Step-by-step explanation:
f(x) usually refers to a function not a multiplication of two variables
35 = -7a + 14
Solve for a
Answer:
a = -3
Step-by-step explanation:
35 = -7a + 14
-14 + 35 = -7a + 14 - 14
21 = -7a
21/-7 = -7a/-7
-3 = a
a = -3
Answer:
-3=a
Step-by-step explanation:
35=-7a+14
subtract 14
21=-7a
divide both sides by -7
-3=a
1. Angela was doing her homework when her dog bit
off a piece of paper. All she had left was the start
of the sequence: 4, 12, ... and the fact that 972 was some term of the sequence.
a. If the sequence is arithmetic, what is the equation of the nth term and what number term is 972?
Answer:
The equation is 8n-4 and 972 is the 122nd term of the sequence
Step-by-step explanation
12-4=8
12-8=4
8n+4
972+4=976
976/8=122
What is the mean average of 100, 75, 40, 90, 80, 100, 92, 88, 80, 84, 81?
Answer:
The mean average is 82.727272727273
Answer:
82.727272727272727272727272728
Step-by-step explanation:
(100+75+40+90+80+100+92+88+80+84+81)/11
Help pleassssee
An investment of £150 increases by 2.5% each year, for 3 years. Calculate the value of the investment at the end of the period
Which of the following is the same as 4*39*23
Answer:
What are the answer choices if there are any
Step-by-step explanation:
Find the values of x and y - will give brainliest if right
Answer:
x=31 and y=45.........
Answer:
4x=3y-11
3y-11=180-56
3y-11=124
3y=135
y=45
4x=124
x=31
Step-by-step explanation:
In a triangle, the measure of the first angle is 24 degrees more than the measure of the second angle. The measure of the third angle is four times the measure of the second angle. If the total number of degrees in a triangle is 180, what is the measure of the largest angle?
26 degrees
50 degrees
104 degrees
136 degrees
Here goes the answer. Hope it helps.
Measure of largest angle in a triangle is equals to 104 degrees.
What is triangle?" Triangle is a 2 dimensional geometrical figure which has three sides and three vertices. Sum of all the angles of triangle is equals to 180°."
According to the question,
x represents the measure of first angle
y represents the measure of second angle
z represents the measure of third angle
Situation 1: First angle is 24 degree more than second angle , it represents the equation:
x = 24 + y ____(1)
Situation 2: Third angle is four times the measure of second angle, it represents the equation:
z = 4y ___(2)
Situation 3: Total number of degree in a triangle is 180, it represents the equation :
x + y + z = 180° ____(3)
Substitute the value of (1) and (2) in (3) we get,
24 + y + y + 4y = 180°
⇒ 6y + 24 = 180°
⇒ 6y = 180 - 24
⇒ 6y = 156
⇒ y = 26degrees
Therefore,
x = 24 + 26
= 50 degrees
z = 4 × 26
= 104 degrees
Hence, measure of largest angle in a triangle is equals to 104 degrees.
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36 = 4x
Thank you | (• ◡•)|
Answer:
x = 9
Step-by-step explanation:
does anyone know how to do this
Answer:
Step-by-step explanation:
The domain is basically the highest x and the lowest x.
[-3, ∞)
The range is the highest and lowest y.
[-4.649, ∞)
Local maximum is the highest part of the specific part of the graph.
(-1.423, 3.389)
And the local minimum is basically the same thing but with the lowest part.
(1.757, -4.649)
HURRYYY!!
Which of the following expressions is correctly written in scientific notation?
32.1 x 107
7.31 x 10-2
0.22 x 10-
Answer:
The middle one
Step-by-step explanation:
A city has a population of 350,000 people, suppose that each year the population grows by 5%. What will the population be
after 14 years?
Answer:
595,000
Step-by-step explanation:
find 5% of the present population
5/100*350,000 =17,500
there fore the population increases by 17,500 yearly
in 14 yrs time
=(14*17500) + 350,000
=245000+350000
=595000
Evaluate the expression when a=3, b=2, and c=12: 6+a
ASAP ASAP ASAP ASAP MATH MATH MATH homework
Answer:
$20
Step-by-step explanation:
Simple, if he sold 16 pretzels, and each one costs $1.25, then multiply the cost by how many:
16X1.25=20
So he got $20
I hope this helps!
Answer:
20
Step-by-step explanation:
What is the slope of the line?
It would also be very helpful if you could simplify the way you solved the problem :)
In a school contest, each student draws a number from 1 to 5 out of a large basket. The outcomes are shown in the table below.
Number Drawn 1 2 3 4 5
Times Drawn 83 79 88 72 85
Based on the data, what is the expected probability of drawing a 3?
Answer:
88/407
Step-by-step explanation:
The required, based on the data given, the expected probability of drawing a 3 is approximately 0.216 or 21.6%.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
To find the expected probability of drawing a 3, we need to calculate the total number of times any number was drawn and the number of times a 3 was drawn:
Total number of times any number was drawn = 83 + 79 + 88 + 72 + 85 = 407
The number of times a 3 was drawn = 88
The probability of drawing a 3 is then the number of times a 3 was drawn divided by the total number of times any number was drawn:
Probability of drawing a 3 = 88/407 ≈ 0.216
Therefore, based on the data given, the expected probability of drawing a 3 is approximately 0.216 or 21.6%.
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