Step-by-step explanation:
Sub n in the equation
2^7-1 = 128-1=127
2) What is the probability you roll an odd number on a six-
sided die ?
Answer:
1/2 or 0.5
Step-by-step explanation:
All possible odd values on a 6-sided die include 1, 3, and 5; that is 3 values out of 6 total values. 3/6 or 1/2 is a 0.5 probability.
What is the slope of the line containing (-3, 1) and (1, -2
Answer:
-3 on 4
Step-by-step explanation:
slop is given by change in y coordinate over change in x coordinate
Helpppppppppppppp:))))
Given:
Principal value = $1500
Rate of interest = 7% per annum compounded daily
Time = 2 years.
To find:
The amount after 2 years.
Solution:
Formula for amount:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is principal, r is the rate of interest in decimals, n is the number of time interest compounded in an year and t is the number of years.
We know that 1 year is equal to 365 days and the interest compounded daily. So, n=365.
Substituting [tex]P=1500,\ r=0.07,\ n=365,\ t=2[/tex] in the above formula, we get
[tex]A=1500\left(1+\dfrac{0.07}{365}\right)^{365(2)}[/tex]
[tex]A=1500\left(\dfrac{365+0.07}{365}\right)^{730}[/tex]
[tex]A=1500\left(\dfrac{365.07}{365}\right)^{730}[/tex]
Using calculator, we get
[tex]A\approx 1725.39[/tex]
The amount after two years is $1,725.39. Therefore, the correct option is (c).
Ordena de mayor a menor el siguiente grupo de fracciones y decimales
-2,14; 7/50; -2,41; -11/8; -2,1
Answer:
-2.41: -2.14: -2.1: -11/8: 7/50
In ATUV, the measure of _V=90°, VU = 84, TV = 13, and UT = 85. What ratio
represents the cotangent of _T?
U
85
84
T
13
Describe how to use Scientific Notation to write a very small number. Give an example, written in both Standard Form and Scientific Notation.
Answer:
In scientific notation, the number in front of a decimal must be a digit. In other words, the number cannot be larger than 9.
The number 0.0000078's scientific notation would be [tex]7.8 * 10^-^6[/tex]
In scientific notation, when the exponent is negative, you move the decimal to the left.
When the decimal is positive, you move the decimal to the right.
Since the exponent is -6, I will move the decimal in 7.8 6 times to the left.
7.8's decimal moved 6 times to left is equal to 0.0000078.
Therefore, the scientific notation for 0.0000078 is [tex]7.8*10^-^6[/tex]
**STANDARD FORM: 0.0000078
**SCIENTIFIC NOTATION: [tex]7.8*10^-^6[/tex]
This is probably a lot, so summarize when giving your actual answer.
Step-by-step explanation:
My answer is self explanatory.
HELPPPPPPPPPPPPPPPPPPPP
Answer:
b.
Step-by-step explanation:
c= 3r
such that 3(6) = 18 ...
Hakim is making birdhouses. Each birdhouse uses 78 yard of wood.
What is the total length of wood Hakim will need to build 5 birdhouses?
A. 438 yards
B. 578 yards
C. 148 yards
D. 928 yards
Answer:
390 yds
Step-by-step explanation:
Take the amount of wood per birdhouse and multiply by the number of birdhouses being made
78 * 5 =390 yds
Answer:
390 yds
Step-by-step explanation:
Take the amount of wood per birdhouse and multiply by the number of birdhouses being made
78 * 5 =390 yds
Hope this helps!!!
Can you help me please
Answer:
no solution
Step-by-step explanation:
[tex]\dfrac{2x - 6}{4} > \dfrac{x - 3}{2}[/tex]
The LCD is 4, so multiply both sides of the inequality by 4.
[tex]4 \times \dfrac{2x - 6}{4} > 4 \times \dfrac{x - 3}{2}[/tex]
[tex]2x - 6 > 2 \times (x - 3)[/tex]
[tex]2x - 6 > 2x - 6[/tex]
Subtract 2x from both sides.
[tex]-6 > -6[/tex]
Since -6 = -6, the above statement is false, so there are no solutions.
Answer: no solution
A point particle with charge q is at the center of a Gaussian surface in the form of a cube. The electric flux through any one face of the cube is: _________.
i. q/E0
ii. q/E4Ï€E0
iii. q/4E0
iv. q/6E0
v. q/16E0
Answer:
iv. q/6E0
Step-by-step explanation:
Electric flux formula:
The electic flux formula, of a charge q is given by, through an entire cube, is given by:
[tex]E = \frac{q}{E_o}[/tex]
In which [tex]E_o[/tex] is a constant related to the material.
The electric flux through any one face of the cube is:
Key-word is face, and a cube has 6 faces, with the force distributed evenly throughout it. Thus
[tex]E_f = \frac{1}{6} \times \frac{q}{E_o} = \frac{q}{6E_o}[/tex]
And the correct answer is given by option iv.
What the mass of Earth's water?
Answer:
The total mass of Earth's hydrosphere is about 1.4 × 1018 tonnes, which is about 0.023% of Earth's total mass. At any given time, about 20 × 1012 tonnes of this is in the form of water vapor in the Earth's atmosphere (for practical purposes, 1 cubic meter of water weighs one tonne).
Step-by-step explanation:
my last question 30 pts plzzzzzzzzz help
An expression is shown below:
4(m + 3 + 5m)
Part A: Write two expressions that are equivalent to the given expression. (3 points)
Part B: Show that one of your expressions in Part A is equivalent to the given expression using algebraic properties. Explain which properties you used. (4 points)
Part C: Show that your other expression from Part A is equivalent to the given expression by substituting a number for m. (3 points)
Answer:
A) 48m + 12 and 3(2m + 4 + 14m)
B) 48m + 12 is equivalent to 6(m + 2 + 7m) because if you distribute the 6 to everything inside the parentheses, you get 6m + 12 + 42m. This can be simplified further by adding 6m and 42m together, leaving you with 48m + 12.
C) m = 2
6(m + 2 + 7m)
6[2 + 2 + 7(2)]
6(4 + 14)
6(18) 1
108
3(2m + 4 + 14m)
3[2(2) + 4 + 14(2)]
3(4 + 4 + 28)
3(8 + 28) 3
(36) 108
108 = 108
Assume the random variable X is normally distributed with mean μ = 50 and standard deviation σ= 7. Compute the probability.
Complete question is;
Assume the random variable X is normally distributed with mean μ = 50 and standard deviation σ = 7. What is the probability P (X > 42)?
Answer:
P(X > 42) = 0.1271
Step-by-step explanation:
We are given;
mean; μ = 50
Standard deviation; σ = 7
Formula for the z-score is;
z = (x - μ)/σ
Thus;
z = (42 - 50)/7
z = -1.14
Since we are looking for P (X > 42), then let's look up this z-value from the z-distribution table attached.
We have;
P(X > 42) = 0.1271
What's 3 times 4/5 as a improper fraction
distribute and simplify these radicals 2^3 x (^2+^3)
the add of the 56+45/98+5000+12538+567
Question 4
Solve for m.
m+7=3* mull
no solution
Infinite
solutions
Answer:
m= -4
Step-by-step explanation:
A balloon is 4 ft above the ground. It is released and floats up 3 ft
every second. Write an equation to model the height of the balloon
as a function of time in seconds. Write your answers in the blanks.
Answer:
4+(3 times x)= height of balloon. x = seconds
Step-by-step explanation:
I hope this helps you! :D
Giving out brainliestttt answer !!! help me out?!!!
Answer:
F= 60.256
D = 29.744
Step-by-step explanation:
This is a completely different from the way usually I do it
B = arcsin(b·sin(A)a)
= 1.05166 rad = 60.256°
180-60.256-90 = 29.744°
Shine has some money in his account.Every Month, he used the same amount of money from his account to pay for his music classes. The table below shows the amount of money left in his account after a certain amount of time, in months:
Option 4) -$45 per month; the amount of money withdrawn per month
Answer:
Option 4) -$45 per month; the amount of money withdrawn per month.
Step-by-step explanation:
The rate of change is 45. Before he began taking money out to pay for his classes[month 0], he had $190. Since then, every month, $45 have been withdrawn.
guys i need so so so help :(((((( thankss
Answer:
38,78461
Step-by-step explanation:
The triangle is composed by two right triangles. the sum of inner angles of a triangle is 180 degrees. If we look at the right one we can say that it’s top angle is 60 degrees. In fact 30 + 60 + 90 = 180
So also the top angle of the biggest triangle is right:
60 + 30 = 90
We can also say that the leg of that triangle on left that lies on the hypotenuse is half of its hypotenuse thanks to the its angles.
Thanks to these informations we can use a theorem, called first Euclid’s theorem that allow us to build a proportion:
6 : 12 = 12 : hypotenuse
6 * hypotenuse = 144
hypotenuse = 24
x = 24 - 6 = 18
For the same theorem:
18 : y = y : 24
y^2 = 432
y = 20,78461
18 + 20,78461 = 38,78461
20 points probability question
Answer:
a. n^2-2n+1/n squared
b. 9 green counters
Step-by-step explanation:
just as you role 3 dices and the chances are MULTIPLIED, the same goes for this problem.
n-1/n times n-1/n would create the probability of getting 2 green counters randomly from the bag's possibility.
n-1/n times n-1/n can be said as (n-1) squared or in simple terms:
n^2 -2n+1 or in words, n squared -2n +1.
divided by n squared is the fraction probability in simplest form:
n^2-2n+1/n squared
the next question is actually much easier:
0.9 is 90% in percentages, this can be detrimental to your grade if your teachers asked you for the decimal, not percentage of it.
for 1 every yellow counter, there is 9 green counters. so in the bag, there is one yellow counter meaning there are 9 green counters in the bag (after finishing the first question)
Part (a)
Answer: (n-2)/n----------------
Explanation:
There are n-1 green counters to start out of n counters total.
The probability of selecting a green counter is (n-1)/n
The probability of selecting a second green counter is (n-2)/(n-1) since we're not putting the first counter back.
Multiplying the two fractions leads to (n-2)/n
Note how the (n-1) terms cancel.
===============================================================
Part (b)
Answer: 19 green counters----------------
Explanation:
We set the result of part (a) equal to 0.9 and solve for n
(n-2)/n = 0.9
(n-2)/n = 9/10
10(n-2) = 9n ... cross multiply
10n-20 = 9n
10n-9n = 20
n = 20
We have 20 counters in the bag. One counter is yellow and the remaining n-1 = 20-1 = 19 are green.
The probability of getting one green counter is 19/20
The probability of a second green counter is 18/19
The probability of two green counters is (19/20)*(18/19) = 18/20 = 9/10 = 0.9
This helps confirm the answer.
C. Betsy's dad bought a 5 lb. bag of grass seed. He needed 1 lb. 3 oz. for the front yard, 1 lb. 8 oz. for the side yard, and 2 Ib. 4 oz. for the back yard. Was the 5 lb. bag of seed enough for the three yards?
Explain .___________________________.
Answer:
Yes.
Step-by-step explanation:
When you add the different amounts needed together ( 1lb 3oz + 1lb 8oz + 2lb 4 oz ), you get 4lb 15oz. Since there are 16oz in a pound, you need less than 5 lb. Therefore, you need less than 5lb, the 5lb bag will be more than enough.
Find the missing probability
P(A) = 0.8
P(B) = 0.05
P(A or B) = 0.6
P(A and B) =
Answer:
2
Step-by-step explanation:
A company's mean salary is $65,000 with a standard deviation of $6,000. If a sample of
40 employees is taken, determine the standard error.
948.68
325.25
9328.71
none of these
Answer:
umm not sure on this one either 9328.71
Step-by-step explanation:
a) Find the center and radius,
b) Graph -not necessary-
c)Find intercepts if there are any
4. (x-1)² + (y+4)² = 9
Answer:
Radius: 3units
center: (1,-4)
What is the correct answer to this problem?
Answer:
Y=51.34019175
Step-by-step explanation:
We first use Pythagoras theorem to find the hypo...
[tex] \sqrt{ {8 }^{2} + {10}^{2} } = 12.8062487[/tex]
After we use sine rule
12.8062487/sin90 = 10/siny
Sin y=10sin90/12.8062487
Y=51.34019175
Please help quickly I really don’t understand this question and i’m freaking out.
Answer:
[tex] \frac{4 \sqrt{3x} }{9} [/tex]Step-by-step explanation:
[tex] \frac{4 \sqrt{ {21x}^{2} } }{3 \sqrt{63x} } [/tex][tex] \frac{4 \sqrt{ \frac{21 {x}^{2} }{63x} } }{3} [/tex][tex] \frac{4 \sqrt{ \frac{x}{3} } }{3} [/tex][tex] \frac{4 \sqrt{ \frac{x \times 3}{3} } }{3} [/tex][tex] \frac{\frac{4 \sqrt{3x} }{3} }{3} [/tex][tex] \frac{4 \sqrt{3x} }{3} \times \frac{1}{3} [/tex][tex] \frac{4 \sqrt{3x} }{9} [/tex]Hope it is helpful...Which graph represents a function with an initial value of One-half?
Answer:
The answer is B
Step-by-step explanation:
I went on socratic and found the answer
Answer:
second graph
Step-by-step explanation:
took the test on edge
mike is looking at the roof of a new house from the front. he notices that the roof is triangular in shape with a base 11.2m. the left side is 6.7m long and makes an angle of 72 degree with the base of the roof. if this is the only known information, determine the angle the right side of the roof makes with the base of the roof to the nearest degree. be sure to first make a sketch
Answer:
35°
Step-by-step explanation:
From the sketch made, to obtain B we use the cosine angle formula :
We have 2 so des and an included angle
Cos B = (a² + c² - b²) / 2ac
First we obtain the side c
c² = a² + b² - 2ab CosC
c² = 11.2² + 6.7² - 2(11.7 * 6.7) * cos 72
c = 11.13
Using the value of c
Cos B = (a² + c² - b²) / 2ac
CosB = (11.2² + 11.13² - 6.7²) / (2*11.2*11.13)
Cos B = 204.4269 / 249.312
B = Cos^-1(204.4269 / 249.312)
B = 34.9°
How many 3/4 inch strips for caulk to cover 10 1/2 inches
Answer:
14
Step-by-step explanation:
So let's think smart. If you look at the image I made a diagram. The 3 squares I colored in represent 3/4. It takes 14 3/4 strips to cover 10 1/2 inches.
The Number of 3/4 inch strips required to cover 10 1/2 inches of caulk will be 14
The total inches of caulk to be covered = 10 1/2 inches
The fraction of inch strip to be used = 3/4 inches
To obtain the number of 3/4 inch strop required ;
We divide the total inches of caulk by 3/4
Hence,
10 1/2 ÷ 3/4
21/2 ÷ 3/4
Change the sign to × and take the reciprocal of 3/4 ;
21/2 × 4/3
(21 × 4) / (2 × 3) = 84 / 6
84 / 6 = 14
Hence, the number of 3/4 inch strip required is 14
Learn more : https://brainly.com/question/2610134