Answer:
99/512 = 0.193359375
Step-by-step explanation:
Each sequence of 5 H's and 7 T's has probability of occurring equal to 1/2^12 (1 divided by 2 to the twelfth power).
Since the number of 5 H, 7 T sequences is equal to C(12,5) = the number of combinations of 12 things taken 5 at a time =
12 * 11 * 10 * 9 * 5 / (5 * 4 * 3 * 2 * 1) =
792,
we have that the probability of obtaining 5 H's and 7 T's =
the sum of the probabilities of all of the sequences =
1/2^12 + 1/2^12 + 1/2^12 + . . . + 1/2^12, 792 times =
792(1/2^12) =
99 / 2^9 =
99 /512 =
0.193359375
Howard's stew recipe makes 6 servings and uses 2 carrots and 3 ears of corn. Drag carrots and corn into the box to show how many Howard needs for 12 servings.
Answer: 4 carrots and 6 ears of corns
Step-by-step explanation:
Howard needs 4 carrots and 6 ears of corn for 12 servings of stew.
How many carrots and ears of corn does Howard need for 12 servings of stew?To get how many carrots and ears of corn Howard needs for 12 servings of stew, we can set up a proportion based on the number of servings.
Let x be the number of carrots
Let y be the number of ears of corn needed for 12 servings.
Proportion:
6 servings of stew need 2 carrots and 3 ears of corn
12 servings of stew need x carrots and y ears of corn
(2 carrots) / (6 servings) = (x carrots) / (12 servings)
(3 ears of corn) / (6 servings) = (y ears of corn) / (12 servings)
2 * 12 = 6 * x
3 * 12 = 6 * y
24 = 6x
36 = 6y
Solve for x and y:
x = 24 / 6
x = 4
y = 36 / 6
y = 6.
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2 raised to power x+1=1
Answer:
-1
Step-by-step explanation:
As you know every number raised to the power of zero is equal to one.and here we have
[tex]2^{x+1} = 1[/tex]
[tex]2^{0} = 1[/tex]
[tex]2^{0} = 2 {}^{x + 1}[/tex]
[tex]x + 1 = 0[/tex]
[tex]x = - 1[/tex]
Factorise : x^2 - 4x + 5
Answer:
The expression is not factorable with rational numbers
What is 4 x 3 to the 2nd power
A spinner has 4 equal sectors colored yellow, blue, green, and red. If in 100 spins we get
28 blue (B), 25 red (R), 29 green (G), and 18 yellow (Y) outcomes, find the empirical probability of getting color P(R).
O A. 6/25
OB. 1/4
O C. 3/10
O D. 13/50
Answer:
B
Step-by-step explanation:
28+25+29+18 = 100
red = 25
25/100 = 1/4
The required empirical probability is 1/4 which gets the color of red P(R).
What is probability?The probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
A spinner has 4 equal sectors colored yellow, blue, green, and red. If in 100 spins we get
28 blue (B), 25 red (R), 29 green (G), and 18 yellow (Y) outcomes
To find the empirical probability of getting a red outcome, we need to divide the number of red outcomes by the total number of spins:
P(R) = 25 red outcomes / 100 spins
Apply the division operation, and we get
P(R) = 1/4
Hence, the required empirical probability is 1/4
Therefore, the correct answer is 1/4 or option B.
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help me with this sum I will mark you as brainiest
Answer: 195
176
888
173
199
can u pls give brainliest
Are the following two figures similar or congruent?
L'
10
KO
8
4
-
Р
-2
-2
2
2
A 6
10 12
A line passes through the point (6, -4) and has a slope of - 4/3
Write an equation in point-slope form for this line.
Answer:
y--4=-4/3(x-6)
Then, y+4=-4/3(x-6).
A bag contains 9 red balls numbered 1, 2, 3, 4, 5, 6, 7, 8, 9 and 6 white balls numbered 10, 11, 12, 13, 14, 15. One ball is drawn from the bag. What is the probability that the ball is red, given that the ball is odd-numbered? (Enter your probability as a fraction.)
Answer: 5/8
Step-by-step explanation: There are 5 odd-numbered balls in the red numbered balls. There are 3 odd-numbered balls in the white numbered balls. So the probability of choosing a red odd numbered ball out of the set of all odd numbered balls is 5/8! Hope this helps!
PLEASE HELP!!!!!
will mark brainliest!!!!!
Answer:
x = -7 —> f(x) =4
x = -1 —> f(x) = 4
x=2 —> f(x) = 4
I hope I helped you^_^
A pet store has c tanks of fish. Each tank has 25 fish. Using c , write an expression for the total number of fish in the store.
Answer:
25c
Step-by-step explanation:
For example , if there are 3 tanks (or n is 3), the total number of fish would be 25* 3 = 75 fish.
Simplify (9 ^ 2)/(9 ^ 7)
PLS HELP!!!! WILL MARK BRAINLIEST!
Answer:
1/9^5
Step-by-step explanation:
Yeah you're correct, 9^2/9^7 = 1/9^(7-2).
In frequency curve the points are joined by bits of a straight line. True/False
If cost is represented by C(x)=1.8x+10,000 and revenues are represented by R(x)=8.5x, which equation could be used to find the break-even point?
Answer:
8.5x=1.8x+10,000
Step-by-step explanation:
The break-even point is the point where the expressions for the functions have the same value: 8.5x=1.8x+10,000.
Hello everyone, please help me out on this, Select each correct answer pls.
******Please help me help help me please help me*****
I don’t onow it’s probably 69.3939339393993
NO LINKS OR ASSESSMENT!!!
Part 2: Domain and Range of Graphs
Domain:
- 2 ≤ x < 2 or x∈ [-2, 2)Range:
-4 ≤ y < 0 or y ∈ (-4, 0]Function:
YES - passes the vertical line test#4Domain:
- 0 ≤ x < 4 or x∈ [0, 4)Range:
-2 < y < 2 or y ∈ (2, 2)Function:
N0- doesn't pass the vertical line test#6Domain:
- 4 < x < 4 or x∈ (-4, 4)Range:
-4 < y ≤ -2 or y ∈ (-4, -2]Function:
YES - passes the vertical line testsolve this equation
3/7x+5=-4/7x-3
Answer:
x = -8
Step-by-step explanation:
[tex]\frac{3}{7} x + 5 = \frac{-4}{7} x - 3\\5 = -1x-3\\8 = -1x\\-8 = x[/tex]
Let x be the last digit in your Student number. Give x?
A principal of $350x is invested at 8 % interest for 5 years. Determine the future value
if the interest is compounded quarterly .
After being compounded for a period of 5 years, the amount will rise to $5,200.82.
The interest is given on an annual basis and so is the period yet the compounding period is quarterly. The first thing to do therefore, is to convert the interest and period to quarterly measures.
Interest = 8% / 4 = 2% per quarter
Periods = 5 x 4 = 20 quarters
Amount will be $3,500
The amount after 5 years will be:
= Amount x ( 1 + rate) ^ number of periods
= 3,500 x ( 1 + 2%) ²⁰
= $5,200.8158859
= $5,200.82
In conclusion, the amount will be $5,200.82 after 5 years.
Find out more at https://brainly.com/question/13160996.
Write the prime factorization of 16. Use exponents when appropriate and order the factors from least to greatest (for example, 2.2.3.5).
23
hlp plz this is really hard
Answer:
16 =2^4
Step-by-step explanation:
16
16 = 4*4
but 4 is not prime
4 = 2*2
16 = 2*2*2*2
Rewriting with exponents
16 =2^4
Answer:
→ Prime factorization of 16 :
16 = 2 × 2 × 2 × 216 = 2⁴; in the form b = aⁿhere, n = 4 is the exponent and a = 2 is the prime factor16 = 2⁴ is the right answer.FIND X. Just type the number.
what does 3x mean?
and can you solve this equation?
Answer:
The diagram shows a right angle 3 x = 90 so x = 30
Or x + 3 x = (180 - 60) = 120
And again x = 30 deg
A missile uses an internal computer clock to measure time in tenths of a second. The missile guidance system needs the time from launch, in seconds, in order to calculate its distance from the launch site. It obtains this by multiplying the computer clock time by 0.1. So, for example, a reading of 50 tenths of a second is 5 seconds. For one particular missile system, the conversion factor of 0.1 is stored in 8 bits as the binary number 0.000110012.
The missile’s internal computer clock shows 200 tenths of a second. Convert this to seconds using your result from Part (i) of this question. Do not round your answer. The missile guidance system now records that it has travelled for this number of seconds.
Using proportions, it is found that the missile's internal computer clock is of 20 seconds.
According to the information given, this question can be solved by proportions, using a rule of three.50 tenths of a second is equivalent to 5 seconds, and we want to find the equivalent to 200 tenths of a second, thus, the rule of three is:
50 tenths - 5 seconds
200 tenths - x seconds
Applying cross multiplication:
[tex]50x = 5(200)[/tex]
[tex]50x = 1000[/tex]
[tex]x = \frac{1000}{50}[/tex]
[tex]x = 20[/tex]
The missile's internal computer clock is of 20 seconds.
A similar problem is given at https://brainly.com/question/24372153
Dennis Hausearns $67,000 per year as a business manager. His exemptions
include himself, his wife, and their daughter. The state tax rate in his state is
3.5% of taxable income. Find the state tax withheld using the following figure.
Exemptions
Single
$1,500
Married $3,000
Each Dependent $1,500
$2,142.32
$2,361.50
$2,187.50
$2,237.50
Answer: $2,187.50
Step-by-step explanation:
Define all the exemptions that applie:
exemption for being married: $3000
exemption for 1 dependent: $ 1,500
3000 + 1500 = 4500
Subtract the exemptions from the yearly earnings:
67000 - 4500 = 62,500
Now, applied the 3.5 % tax
3.5 / 100 = (0.035)
62,500 x 0.035 = 2187.50
Is 8 a solution to the equation x+6=x+6
Answer:
If you mean could x be eight, then yes, x could equal eight. However, any number could be the solution as this equation has an infinite solution.
Step-by-step explanation:
Once again, I am going off of you are asking if eight could be x. If that is what you are asking, here is the reason.
The equal sign shows that both sides equal each other. If you plug in 8 for x, then you get:
8+6=8+6
14=14
Does 14=14? Yes, so plugging in eight for x works. However, looking at this, we can see that your solution would actually be an infinite solution. This is because, no matter what number we plug in for x, we will get a true statement.
A diagram of a lot of land is shown. The scale on the diagram is 1 cm represents 2.5 yrds. What is the perimeter of the actual lot of land?
What is the simple interest on a principal of $4,200 invested at an interest rate of
8% for 3.5 years?
Answer:
$1176
Step-by-step explanation:
4200 x 0.08 x 3.5 = $1176
5551-525152+62626626×552526 solve it.
Answer:
=34602838637675
Step-by-step explanation:
=−519601+(62626626)(552526)
=−519601+34602839157276
=34602838637675
Note that a change can be an increase or a decrease.
For an increase, use a positive number.
For a decrease, use a negative number.
(a) Laura pumped 7 gallons of water into her pool each minute for 14 minutes. What was the total change in the amount of water in the pool?
Answer:
98 gallons
Step-by-step explanation:
Laura's Pump rate = 7 gallon/minute.
Thus, the total change in 14 minutes =
7(14) = 98 gallons
I know why no ones answering your questions. Because there is not enough info.
My guess is an increase tho.
QUESTION 18
A natural gas company charges a fixed customer fee of $ 12.60 every
month even if no natural gas is used. For every unit of natural gas used,
the customer is charged an additional $0.64.
a. Using was the number of units used in a month and y as the total
monthly cost, write an equation that fits this problem.
Answer:
y = 0.64w + 12.60Step-by-step explanation:
This is a linear relationship y= mx + b and:
The y-intercept is b = 12.60The slope is m = 0.64The monthly total is:
y = 0.64w + 12.60PLEASE HELP!!!!!
will mark brainliest!!!!!
Answer:
x. f(×)
6. 9
7. 7
8. 5
9. 3
10. 1