9514 1404 393
Answer:
$3281.79
Step-by-step explanation:
The compound interest formula is ...
A = P(1 +r/n)^(nt)
where A is the balance resulting from investment of P at annual rate r compounded n times per year for t years.
We have P=$3000, r=0.06, n=12, t=1.5, so the account balance is ...
A = $3000(1 +0.06/12)^(12·1.5) = $3000(1.005^18) ≈ $3281.79
There will be $3281.79 in the account after 18 months.
3(2x - 1) = 1/2 (4x - 2) + 2
What would it be?
Answer:
X = 1
Step-by-step explanation:
Just distribute properly, and distribute the fraction multiplying the numerator by 4 and 2
Answer:
[tex]3(2x - 1) = 1 \div 2(4x - 2) + 2 \\ 3 \times 2x - 3 \times 1 = .5 \times 4x - .5 \times 2 + 2 \\ 6x - 3 = 2x - 1 + 2 \\ x \: togather \\ 6x - 2x = - 1 + 2 + 3 \\ 4x = 4 \\ x = 4 \div 4 \\ x = 1[/tex]
Karen flipped a coin 50 times, and the coin came up heads 28 times.
What is the relative frequency of tails in this experiment?
0.28
0.22
0.56
0.44
The relative frequency of tails in the experiment is 0.44
In a coin flip; the outcome is either a Head(H) or Tail(T)
Since;
Total number of flips = 50
Number of heads = 28
Number of tails = 50 - 28 = 22
Recall :
Relative frequency = Number of preferred outcome / Total frequency
Hence, the relative frequency of tail will be :
Number of tails / total number of flips = 22 / 50 = 0.44
Therefore, the relative frequency of tails in the experiment is 0.44
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Here we have a problem of relative frequency.
We do know that if you perform a given experiment N times (flipping the coin in this case), and a given outcome happens n times, the relative frequency of that event is:
rf = n/N
With this, we will find that the relative frequency of tails is 0.44
We do know that:
The experiment was performed 50 times, then N = 50
The coin came up heads 28 times.
Then the other 22 times the coin came up tails.
We want to get the relative frequency of tails in this experiment, then we have n = 22
Using the general formula, we can see that:
rf = n/N = 22/50 = 0.44
The relative frequency of tails in this experiment is 0.44
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a square playing field has an area of 1255 square yards. about how long is each side of the field
Answer: The answer is 35.43 feet rounded to the nearest hundredth.
Step-by-step explanation:
Answer:
The answer is 35.43 feet rounded to the nearest hundredth.
Step-by-step explanation:
If it is a square and the area is 1,255, the width and height of the square is the same. Find the square root of 1,255 and it will give you the length of the height and width (they are both the same being a square).
What is the solution to this system of equations?
-a - 3b + 4c = 3
5a – 8 + 5c = 27
5a – 26 + 60 = 1
Answer:
Here is your answer. Hope this helps you!
The random variable X has the following probability mass function.
X -1 0 2 6 7
P(x) 0.3 0.1 0.3 0.2 0.1
Required:
a. Find the probability P( -1 < X ≤ 2) = ______
b. Find the cumulative distribution function F(x) and calculate F(3.2) = _____________
c. E(X) = ___________
d. Var(X) = __________
e. Suppose the number of errors in a piece of software has a Poisson distribution with parameter λ=3. The probability that there are 5 errors in a piece of software is ____.
Given the PMF
[tex]P(X=x) = \begin{cases} 0.3 & \text{if } x \in \{-1, 2\} \\ 0.1 & \text{if } x \in \{0, 7\} \\ 0.2 & \text{if } x = 6 \\ 0 & \text{otherwise} \end{cases}[/tex]
(a)
[tex]P(-1 < X \le 2) = P(X = 0) + P(X = 2) = 0.1 + 0.3 = \boxed{0.4}[/tex]
(b) The CDF is defined as [tex]F_X(x) = P(X \le x)[/tex], so that
[tex]F_X(x) = \begin{cases} 0 & \text{if } x < -1 \\ 0.3 & \text{if } -1 \le x < 0 \\ 0.4 & \text{if } 0 \le x < 2 \\ 0.7 & \text{if } 2 \le x < 6 \\ 0.9 & \text{if } 6 \le x < 7 \\ 1 & \text{if } x \ge 7 \end{cases}[/tex]
It follows that
[tex]F(3.2) = \boxed{0.7}[/tex]
(c) Expectation is defined as
[tex]E[X] = \displaystyle \sum_x x\,P(X=x)[/tex]
We have
[tex]E[X] = \displaystyle \sum_{x\in\{-1,0,2,6,7\}} x\,P(X=x) \\\\ E[X] = -P(X=-1) + 2P(X=2)+6P(X=6)+7P(X=7) \\\\ E[X] = -0.3 + 0.6 + 1.2 + 0.7 = \boxed{2.2}[/tex]
(d) First compute the second moment of X, which is defined as
[tex]E[X^2] = \displaystyle \sum_x x^2\,P(X=x)[/tex]
We get
[tex]E[X^2] = (-1)^2P(X=-1) + 2^2P(X=2) + 6^2P(X=6) + 7^2P(X=7) \\\\ E[X^2] = 0.3 + 1.2 + 7.2 + 4.9 = 13.6[/tex]
Variance is defined as
[tex]\mathrm{Var}[X] = E[(X - E[X])^2] = E[X^2] - E[X]^2[/tex]
so it follows that
[tex]\mathrm{Var}[X] = 13.6 - 2.2^2 = \boxed{8.76}[/tex]
(e) Not sure what this part has to do with the rest of the question. At any rate, if Y is a random variable following a Poisson distribution with λ = 3, then Y has a PDF of
[tex]P(Y=y) = \begin{cases}\dfrac{e^{-3}\times3^y}{y!}&\text{if }y\in\{0,1,2,\ldots\}\\\\0&\text{otherwise}\end{cases}[/tex]
Then
[tex]P(Y > 5) = 1 - P(Y \le 5) = 1 - P(Y=0) - P(Y=1) - \cdots - P(Y=5) \\\\ P(Y>5) = \dfrac{5e^3-92}{5e^3} \approx \boxed{0.0839}[/tex]
Two sides of a rectangle differ by 35 cm. Find the dimensions of rectangle of its perimeter is 67 cm
Answer:
one side is 137/4 and other is 3/4
Step-by-step explanation:
all steps are in picture
If A = 6 i -8 j and B = - 16 i + 5 j , what is the magnitude of the vector C = 2 A - B ?
Answer:
Choice a. [tex]35[/tex]
Step-by-step explanation:
Note that [tex]i=(1,0)[/tex] and [tex]j=(0,1)[/tex], so
[tex]C=2A-B=2(6i-8j)-(-16i+5j)=12i-16j+16i-5j=28i-21j=(28,-21)[/tex]
Now the magnitude of a vector [tex](x,y)[/tex] is [tex]\sqrt{x^2+y^2}[/tex], thus the magnitude of [tex]C[/tex] is
[tex]\sqrt{28^2+(-21)^2}=\sqrt{784+441}=\sqrt{1225}=35[/tex]
please solve this question If you answer questions I will make you branilist.
Answer:
its very blury im sooooo sorry
Step-by-step explanation:
Help with this question.
9514 1404 393
Answer:
119°
Step-by-step explanation:
Angles DHG and LHI are vertical angles, so have the same measure.
angle LHI = 119°
6.8x+9.3 = -9.4+3.4(2-5x)
Answer:
22/12
Step-by-step explanation:
98-8x=14+12(2-5x)
98-8x=14+24-60x
-8x +60x=10-9
52x=88
x=22/13
What is the answer of question 84?
Answer: Most likley F - 24
Step-by-step explanation:
Each student has a 1/4 chance of getting a job and only 4 ppl get picked.
Each student has 4 jobs each since the change each job. (kinda hard to explain)
4 jobs each student (6) =
= 4x6
= 24.
On a number line is 7/3 located between 2 and 3?
Answer: Yes it is.
Step-by-step explanation:
Mixed to proper
7/3 = 2 1/3
In the word percent, the cent represents what number?
Which property of multiplication is shown?
1 x 2 = 2 x 1
commutative
associative
Submit
Answer associative
Step-by-step explanation:
Which sentence describes a two-column proof?
A.
The left column contains a series of definitions, and the right column states theorems.
B.
The left column contains a series of deductions, and the right column states reasons.
C.
The left column contains a series of reasons, and the right column states deductions.
D.
The left column contains a series of postulates, and the right column states definitions.
which of the following is a correct tangent ratio for the figure?
A) tan(76degrees)= 24/8
B) tan (76degrees) = 8/24
C) tan (24degrees)= 76/8
D) tan (8degrees) = 24/76
Answer:
tan 76 = 24/8
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp /adj
tan 76 = 24/8
Which point is the reflection of (2,-5) on the
y-axis?
A. (-2,5)
B. (5,-2)
C. (-5,2)
D. (-2,-5)
-3x(x - 4) + 2 - (5 - x)
Answer:
[tex] - 3x(x - 4) + 2 - (5 - x) \\ = - 3 {x}^{2} + 12x + 2 - 5 + x \\ = - 3 {x}^{2} + 13x - 3[/tex]
I hope I helped you^_^
8 x the zero power of ten
Jason surveyed the student athletes at his school as they left the locker
rooms for practice. When selecting from a list of questions, he determined
that he could survey the athletes to determine which sport students in the
school most liked to watch. Which of the following statements is true?
A. Jason is not correct. Since the students are in a small age group, he should go to
a baseball game and survey the spectators there to find the most popular sport
to watch.
B. Jason is correct. This population is best for his question.
C. Jason is not correct. Since sports are played during different seasons, he would
have to conduct his survey over the entire school year to get more accurate
results.
D. Jason is not correct. Since there are other students in the school that watch
sports but do not play them, he should expand his population
Answer:
D
Step-by-step explanation:
I hope thats correct
The nth term of a geometric sequence is 4*3n-1. Find the first and the 10th term
Answer:
Step-by-step explanations
I don’t know
HELP PLEASE HELPPP PLEAE NO LINKS OR I WILL REPORT YOU PLEASE GIVE EXPLANATION
Answer:
(I got your back pal) Your answer is -41/21
Can you give me a brainlest it would help me a lot
Which graph represents this system of equations?
y + 2x = 3
y+2 = 3.0
Answer:
Blue = y+2 = 3
Red = y+2x = 3
Step-by-step explanation:
which expression represents the phrase below?
8 less than the product of 6 and a number, x
Answer:
6x-8
Step-by-step explanation:
less than means it comes after
product of 6 and a number x
6x
8 less than
6x-8
A shirt retails for $22.40. A 10% tax is then applied to the original. What’s the final price after tax?
Answer:
24.64
Method:
You get 10% of the shirt cost, and it on to the 22.40
Line AB contains points A(4, 5) and B(9, 7). What is the slope of AB?
rufur colou colon uju
Answer:
2/5
Step-by-step explanation:
Use the formula for slope to solve [ y2-y1/x2-x1 ].
7-5/9-4
2/5
Best of Luck!
A number is multiplied by 9 , and that product is added 3. The sum is equal to the product of 3 and 7 . Find the number.
Answer:
The unknown number is 2.
Step-by-step explanation:
Let x represent the unknown number.
It is multiplied by 9 then added to 3. Hence, it can be represented by the expression:
[tex]9x + 3[/tex]
The sum is equal to the product of 3 and 7, or 21. Therefore:
[tex]9x + 3 = 21[/tex]
Solve for x. Subtract 3 from both sides:
[tex]9x = 18[/tex]
And divide both sides by 2. Hence:
[tex]x = 2[/tex]
In conclusion, the unknown number is 2.
12n - 8- 2n + 10 - 4
How to simplify?
Answer:
10n-2
Step-by-step explanation:
12n - 8- 2n + 10 - 4 = (12n-2n)+(-8+10-4)
Simplify.
10n-2
Happy learning!
--Applepi101
Answer:
10n - 2
Step-by-step explanation:
12n-8-2n+10-4
Group all the n together and the other numbers together:
12n-2n-8+10-4
10n-2
Please help
Solve the inequality.
6x - 2 = 9 or 4 + 3x > 15
X
19 밈
or x >
A
Answer:
x ≤ 11/6 or x > 11/3
Step-by-step explanation:
6x - 2 ≤ 9 or 4 + 3x > 15
6x ≤ 11 or 3x > 11
x ≤ 11/6 or x > 11/3
The given inequality is simplified as x≤11/6 or x>4.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Given that, 6x-2≤9 or 4+3x>15.
Here, 6x-2≤9
Add 2 on both the sides of an inequality, we get
6x≤11
Divide 6 on both the sides of an inequality, we get
x≤11/6
Now, 4+3x>15
Subtract 4 on both the sides of an inequality, we get
3x>12
Divide 3 on both the sides of an inequality, we get
x>4
So, x≤11/6 or x>4
Therefore, the given inequality is simplified as x≤11/6 or x>4.
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Which of the following functions best represents the graph?
f(x) = (x + 3)(x − 3)(x − 9)
f(x) = (x + 3)(x − 3)(x + 9)
f(x) = (x + 3)(x − 3)(x − 1)
f(x) = (x + 3)(x − 3)(x + 1)
Answer:
f(x) = (x + 3)(x − 3)(x − 1)
Step-by-step explanation:
The roots are at -3, -1 and 3 therefore the 3rd option is correct.
Answer:
The answer is D
Step-by-step explanation:
Attatched photo for proof