Answer:
Equation: X-1.35= 2.30
Value of X: x=3.65
Step-by-step explanation:
You can choose whatever variable you want to represent the original amount of money Jennifer had in her pocket. I decided to use X as my variable.
If X represents the original amount of money Jennifer had in her pocket, then I can write this equation:
X-1.35= 2.30
Essential what this equation shows is that Jennifer spends $1.35 of what she originally has, which is x. After she spends that she's left with $2.30. This is how we solve for x, also known as the original amount Jennifer had in her pocket:
X-1.35= 2.30
(we will add 1.35 to each side because we what to balance out the equation and the inverse operation of subtraction is addition)
X= 3.65
So Jennifer originally had $3.65 in her pocket before she spent the $1.35
( Hope this helps :). Let me know if there's any confusion in my answer/explanation)
A student says that the function shown by the table below can be represented by the rule y=x2-1. Describe and correct the error
Answer:
csd zxsd
Step-by-step explanation:
cassie is training for a marathon. she has been recording her miles in a journal leading up to race day. the following table shows some of her results. on sunday, cassie didn't run any miles. what could be a possible cause for this outlier
Answer:
There is an outlier because she was injured and could not run.
Step-by-step explanation:
There are several reasons why Cassie wouldn't have been able to run on Sunday, but a potential reason is because she had a minor injury that took her one day to heal. Because of her taking this day off, it creates an outlier in our table.
Evaluate ab if a = -16 and b = -5.
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Answer:
80
Step-by-step explanation:
ab is the product of 'a' and 'b'. For the given values, that is the product ...
ab = (-16)(-5) = 80
_____
When the number of minus signs is even, the resulting product is positive.
Mark wants to order a pizza. Complete the explanation for which is the better deal. Round your answer to the nearest cent Use 3.14 for pi. Donnie's Pizza Palace Diameter (in.) 14 22 Cost (5) 10 20 The 14-inch pizza costs about Jo per square inch while the 22-inch pizza costs about per square inch. The (select) v pizza is a better deal.
Answer:
1486.14
Step-by-step explanation:
Please help me I am having a panic attack please help
Answer:
340
Step-by-step explanation:
Question 23 (4 points)
Find the measure of ZA in trapezoid ABCD
А.40°
B.50°
C.130 °
D.140 °
Answer:
140°
Step-by-step explanation:
angle D+ angle A=180°(by co interior angle)
40°+a=180°
a=180°-40°
a=140°
What is the difference?: 7/8 − 1/3
Answer: 13/24
Step-by-step explanation: M A T H W A Y Calculator
Answer:
0.54166666666 or 13/24
Step-by-step explanation:
Find the length indicated.
6) Find AB
19. Brian bought a new jacket at a discount of 30%. If the original price was $65, how much did Brian pay for the jacket?
Answer:45.5
Step-by-step explanation:
65•30%=19.5
65-19.5=45.5
Cost of the jacket with the discount is given by the equation A = $ 45.50
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the cost of the jacket with the discount be A
Now , the equation will be
The cost of the jacket = $ 65
The discount percentage =30 %
So , the discount amount = ( 30/100 ) x 65
The discount amount = 0.3 x 65
The discount amount = $ 19.50
Now , the cost of the jacket with the discount A = cost of the jacket - discount amount
Substituting the values in the equation , we get
The cost of the jacket with the discount A = 65 - 19.50
The cost of the jacket with the discount A = $ 45.50
Hence , the cost is $ 45.50
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how do I write two trillion ninety nine in number form?
Answer:
here
Step-by-step explanation:
2.000.000.099
No rush I just need help
Answer:
Answer will be A 200( 12+3)
Number of cups of sugar that would be used with 2 cups of flour is ____.
what percent of one us dollar is $.25
Answer:
25%
Step-by-step explanation:
25/100 = 25%
The percentage value of $0.25 in one dollar is 25%.
Given data:
The initial amount is represented as $0.25.
The value of one dollar is $1.
To determine what percent $.25 is of one US dollar, divide $.25 by $1 and then multiply by 100 to express it as a percentage.
($.25 / $1) * 100 = 0.25 * 100
0.25 * 100 = 25 %
So, the value is 25 %.
Hence, $.25 is 25% of one US dollar.
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help me answer this question please
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Answer:
7953.873
Step-by-step explanation:
The first derivative is ...
f'(x) = 4·3x²·e^x +4x³·e^x = e^x(4x³ +12x²)
Then the second derivative is ...
f''(x) = (12x² +24x)e^x +(4x³ +12x²)e^x
f''(x) = e^x(4x³ +24x² +24x)
So, f''(3) = (e^3)(4·27 +24·9 +24·3) = 396e^3 = 7953.87262158
Rounded to thousandths, this is ...
f''(3) = 7953.873
Answer:
f''(x) ≈ 7953.87
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
FactoringCalculus
Derivatives
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Product Rule: [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Derivative Rule: [tex]\displaystyle \frac{d}{dx} [e^x]=e^x[/tex]
Step-by-step explanation:
Step 1: Define
f(x) = 4x³eˣ
f''(x) is x = 3 for 2nd Derivative
Step 2: Differentiate
[1st Derivative] Product Rule [Basic Power Rule]: f'(x) = 3 · 4x³⁻¹eˣ + 4x³eˣ[1st Derivative] Simplify: f'(x) = 12x²eˣ + 4x³eˣ[1st Derivative] Factor: f'(x) = eˣ(12x² + 4x³)[2nd Derivative] Product Rule [Basic Power Rule]: f''(x) = eˣ(12x² + 4x³) + eˣ(2 · 12x²⁻¹ + 3 · 4x³⁻¹)[2nd Derivative] Simplify: f''(x) = eˣ(12x² + 4x³) + eˣ(24x + 12x²)[2nd Derivative] Distribute eˣ: f''(x) = 12eˣx² + 4eˣx³ + 24eˣx + 12eˣx²[2nd Derivative] Combine like terms: f''(x) = 24eˣx² + 4eˣx³ + 24eˣx[2nd Derivative] Factor: f''(x) = 4xeˣ(x² + 6x + 6)Step 3: Evaluate
Substitute: f''(x) = 4(3)e³(3² + 6(3) + 6)Exponents: f''(x) = 12e³(9 + 6(3) + 6)Multiply: f''(x) = 12e³(9 + 18 + 6)Add: f''(x) = 12e³(27 + 6)Add: f''(x) = 12e³(33)Multiply: f''(x) = 396e³Evaluate: f''(x) ≈ 396(20.0855)Multiply: f''(x) ≈ 7953.87If you got paid $300.00 for working 40 hours, how much did you get paid per hour?
Answer:
7.50 dollar
Step-by-step explanation:
Answer:
$7.50
Step-by-step explanation:
300 divided by 40 is 7.50
Select all the correct answers.
Which expressions are equivalent to √-27?
Answer:
the first one and that's the only one
[tex]3i\sqrt{3} \ \text{ and } \ i\sqrt{27}[/tex]
===================================================
Work Shown:
We will use the rule that sqrt(A*B) = sqrt(A)*sqrt(B) to get the following
[tex]x = \sqrt{-27}\\\\x = \sqrt{-1*27}\\\\x = \sqrt{-1}*\sqrt{27}\\\\x = i\sqrt{27} \ \text{ ... one answer; choice D}\\\\x = i\sqrt{9*3}\\\\x = i\sqrt{9}*\sqrt{3}\\\\x = i*3*\sqrt{3}\\\\x = 3i\sqrt{3} \ \text{ ... another answer; choice A}\\\\[/tex]
While choices C and D seem to look equivalent, note how the 'i' is under the square root in choice C. The 'i' term must be outside the root to be equivalent to the original expression. We denote [tex]i=\sqrt{-1}[/tex]
Jim is 9 years older than June. Alex is 8 years younger than June. If the total of
their ages is 82, how old is the eldest of them?
Answer:
36 years old (jim)
Step-by-step explanation:
looks like a good ol' word problem!
first, if you don't know what to do, always assign variables
Jim's age: x+9
June's age: x
Alex's age: x-8
we know the sum of their ages which is 82
so, x+9+x+x-8=82
simplify
3x+1=82
3x=81
x=27, but we're not done yet
Now we know x
jim: 36
june: 27
Alex: 21
so the oldest is jim at 36
Frank is going to throw a ball from the top floor of his middle school. The function
h(t) = – 16t? +960 + 112 models the height, h, of the ball above the ground as a function of time t.
Find the time(s) when the ball's height is 112 feet.
The ball has a height of 112 feet when t =
one answer, express your answers separated by commas)
seconds. (If there is more than
The ball hits the ground at t =
seconds.
Add Work
Check Answer
Answer:
16t=69
Step-by-step explanation:
Which relationship describes angles 1 and 2?
1. Vertical Angles
2. Complementary Angles
3. Supplementary Angles
4. Adjacent Angles
Answer:
2 and then 1
Step-by-step explanation: 1 is the slideing line that goes up to down and 2 is the angle that goes left & right (thats all i can exsplain sorry ;( )
What is the result of 8(x - y)? The value for x is -5 and y is -2
Answer:
8(-5 - -2) = 24. Inside the parantheses is 3. Then you'd multiply 8, which is 24
Step-by-step explanation:
Answer:
-24
Step-by-step explanation:
I got my answer by plugging in the value of the variables into the equation:
8(x - y)
8((-5) - (-2))
8(-3)
-24
I hope this helps! :)
The average number of annual trips per family to amusement parks in the UnitedStates is Poisson distributed, with a mean of 0.6 trips per year. What is the probabilityof randomly selecting an American family and finding the following?a.The family did not make a trip to an amusement park last year.b.The family took exactly one trip to an amusement park last year.c.The family took two or more trips to amusement parks last year.d.The family took three or fewer trips to amusement parks over a three-year period.e.The family took exactly four trips to amusement parks during a six-year period.
Answer:
a) 0.5488 = 54.88% probability that the family did not make a trip to an amusement park last year.
b) 0.3293 = 32.93% probability that the family took exactly one trip to an amusement park last year.
c) 0.1219 = 12.19% probability that the family took two or more trips to amusement parks last year.
d) 0.8913 = 89.13% probability that the family took three or fewer trips to amusement parks over a three-year period.
e) 0.1912 = 19.12% probability that the family took exactly four trips to amusement parks during a six-year period.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
Poisson distributed, with a mean of 0.6 trips per year
This means that [tex]\mu = 0.6n[/tex], in which n is the number of years.
a.The family did not make a trip to an amusement park last year.
This is P(X = 0) when n = 1, so [tex]\mu = 0.6[/tex].
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-0.6}*(0.6)^{0}}{(0)!} = 0.5488[/tex]
0.5488 = 54.88% probability that the family did not make a trip to an amusement park last year.
b.The family took exactly one trip to an amusement park last year.
This is P(X = 1) when n = 1, so [tex]\mu = 0.6[/tex].
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 1) = \frac{e^{-0.6}*(0.6)^{1}}{(1)!} = 0.3293[/tex]
0.3293 = 32.93% probability that the family took exactly one trip to an amusement park last year.
c.The family took two or more trips to amusement parks last year.
Either the family took less than two trips, or it took two or more trips. So
[tex]P(X < 2) + P(X \geq 2) = 1[/tex]
We want
[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]
In which
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.5488 + 0.3293 = 0.8781[/tex]
[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.8781 = 0.1219[/tex]
0.1219 = 12.19% probability that the family took two or more trips to amusement parks last year.
d.The family took three or fewer trips to amusement parks over a three-year period.
Three years, so [tex]\mu = 0.6(3) = 1.8[/tex].
This is
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-1.8}*(1.8)^{0}}{(0)!} = 0.1653[/tex]
[tex]P(X = 1) = \frac{e^{-1.8}*(1.8)^{1}}{(1)!} = 0.2975[/tex]
[tex]P(X = 2) = \frac{e^{-1.8}*(1.8)^{2}}{(2)!} = 0.2678[/tex]
[tex]P(X = 3) = \frac{e^{-1.8}*(1.8)^{3}}{(3)!} = 0.1607[/tex]
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.1653 + 0.2975 + 0.2678 + 0.1607 = 0.8913[/tex]
0.8913 = 89.13% probability that the family took three or fewer trips to amusement parks over a three-year period.
e.The family took exactly four trips to amusement parks during a six-year period.
Six years, so [tex]\mu = 0.6(6) = 3.6[/tex].
This is P(X = 4). So
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 4) = \frac{e^{-3.6}*(3.6)^{4}}{(4)!} = 0.1912[/tex]
0.1912 = 19.12% probability that the family took exactly four trips to amusement parks during a six-year period.
Probabilities are used to determine the chances of events.
The given parameters are:
[tex]p = 0.6[/tex]
(a) The family did not make a trip to an amusement park last yearThe distribution is given as a Poisson distribution.
So, we have:
[tex]P(x) = \frac{e^{-\mu} \times \mu^x}{x!}[/tex]
Where:
[tex]\mu = np[/tex]
Last year means that:
[tex]n = 1[/tex] --- the number of years.
No trip, means that:
[tex]x = 0[/tex]
So, we have:
[tex]\mu = np[/tex]
[tex]\mu = 1 \times 0.6[/tex]
[tex]\mu = 0.6[/tex]
The probability becomes
[tex]P(x) = \frac{e^{-\mu} \times \mu^x}{x!}[/tex]
[tex]P(0) = \frac{e^{-0.6} \times 0.6^0}{0!}[/tex]
[tex]P(0) = \frac{0.5488 \times 1}{1}[/tex]
[tex]P(0) = 0.5488[/tex]
Hence, the probability that the family did not make a trip to an amusement park last year is 0.5488
(b) The family took exactly one trip to an amusement park last yearThis means that:
x = 1.
So, we have:
[tex]P(x) = \frac{e^{-\mu} \times \mu^x}{x!}[/tex]
[tex]P(1) = \frac{e^{-0.6} \times 0.6^1}{1!}[/tex]
[tex]P(1) = \frac{0.5488 \times 0.6}{1}[/tex]
[tex]P(1) = 0.3293[/tex]
Hence, the probability that the family took exactly one trip to an amusement park last year is 0.3293
(c) The family took two or more trips to amusement parks last yearThis means that:
x = 2,3...
So, we make use of the following complement rule:
[tex]P(x\ge 2) = 1 - P(x < 2)[/tex]
This gives
[tex]P(x\ge 2) = 1 - P(0) - P(1)[/tex]
So, we have:
[tex]P(x\ge 2) = 1 - 0.5488 - 0.3293[/tex]
[tex]P(x\ge 2) = 0.1219[/tex]
Hence, the probability that the family took two or more trips to an amusement park last year is 0.1219
(d) The family took three or fewer trips to amusement parks over a three-year period.For a three-year period, we have:
[tex]n = 3[/tex]
So, the mean of the distribution is:
[tex]\mu = np[/tex]
[tex]\mu = 3 \times 0.6[/tex]
[tex]\mu = 1.8[/tex]
The probability is then represented as:
[tex]P(x \le 3) = P(0) + P(1) + P(2) + P(3)[/tex]
Calculate P(0) to P(3) using:
[tex]P(x) = \frac{e^{-\mu} \times \mu^x}{x!}[/tex]
So, we have:
[tex]P(0) = \frac{e^{-1.8} \times 1.8^0}{0!}[/tex]
[tex]P(0) = \frac{0.1653 \times 1}{1}[/tex]
[tex]P(0) = 0.1653[/tex]
[tex]P(1) = \frac{e^{-1.8} \times 1.8^1}{1!}[/tex]
[tex]P(1) = \frac{0.1653 \times 1.8}{1}[/tex]
[tex]P(1) = 0.2975[/tex]
[tex]P(2) = \frac{e^{-1.8} \times 1.8^2}{2!}[/tex]
[tex]P(2) = \frac{0.1653 \times 3.24}{2}[/tex]
[tex]P(2) = 0.2678[/tex]
[tex]P(3) = \frac{e^{-1.8} \times 1.8^3}{3!}[/tex]
[tex]P(3) = \frac{0.1653 \times 5.832}{6}[/tex]
[tex]P(3) = 0.1607[/tex]
So, we have:
[tex]P(x \le 3) = P(0) + P(1) + P(2) + P(3)[/tex]
[tex]P(x \le 3) = 0.1653 + 0.2975 + 0.2678 + 0.1607[/tex]
[tex]P(x \le 3) = 0.8913[/tex]
Hence, the probability that the family took three or fewer trips to amusement parks over a three-year period is 0.8913
e. The family took exactly four trips to amusement parks during a six-year period.A six-year period means that:
[tex]n = 6[/tex]
So, the mean of the distribution is:
[tex]\mu = np[/tex]
[tex]\mu = 6 \times 0.6[/tex]
[tex]\mu = 3.6[/tex]
The probability is then calculated as:
[tex]P(x) = \frac{e^{-\mu} \times \mu^x}{x!}[/tex]
So, we have:
[tex]P(4) = \frac{e^{-3.6} \times 3.6^4}{4!}[/tex]
[tex]P(4) = \frac{0.0273 \times 167.9616}{24}[/tex]
[tex]P(4) = 0.1911[/tex]
Hence, the probability that the family took exactly four trips to amusement parks over a six-year period is 0.1911
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i dont understand this
Answer:
'less than or equal to' sign
What is h(x) = 7+ 10x + x2 written in vertex form?
Oh(x) = (x - 25)2 - 18
Oh(x) = (x - 5)2 + 32
h(x) = (x + 5)2 - 18
h(x) = (x + 25)2 + 32 free cookie for whoever answers
Answer:
h(x) = [tex](x+5)^{2}[/tex] -18
Step-by-step explanation:
-b/2a is the formula to find the vertex's x coordinate.
-10/2(1) = -5 and "(x+5)" represents a translation to the left 5 units, so that must be the answer
A triangle has the vertices at A(1,3), B(4,2), and C(3,8). What transformation would produce an image with the vertices A’(3,-1),B’(2,-4), C’(8,-3)?
A) Reflection over the x axis
B) Reflection over the line y=x
C) Rotation 90° CW about the origin
D) Rotation 180° about the origin
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Answer:
C) Rotation 90° CW about the origin
Step-by-step explanation:
The transformation for rotation CW 90° is ...
(x, y) ⇒ (y, -x)
This is apparently the transformation that gets ...
A(1, 3) ⇒ A'(3, -1)
__
Additional comment
Attached is a list of the commonly used transformations for your reference.
Answer:
C
Step-by-step explanation:
Chase took a taxi from his house to the airport. The taxi company charged a pick-up fee of $1.20 plus $4.75 per mile. The total fare was $48.70, not including the tip. Write and solve an equation which can be used to determine xx, the number of miles in the taxi ride. i need the equation and the answer of what is x
Answer:
(48.70-1.20)/4.75 = x x=10
Step-by-step explanation:
you should get the x by its self by moving the 1.20 over to the other side then divide by the 4.75 this would get x by its self leaving you to answer and get an answer of 10
Chase rode the taxi for 10 miles.
Let the number of miles in the taxi ride be represented by x.
Pick up fee = $1.20
Amount per mile = $4.75 per mile.
Therefore, the number of miles in the taxi ride will be:
1.20 + (4.75 × x) = 48.70
1.20 + 4.75x = 48.70
Collect like terms
4.75x = 48.70 - 1.20
4.75x = 47.50
Divide both side by 4.75
4.75x/4.75 = 47.50/4.75.
x = 10
Therefore, the number of miles is 10 miles
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A triangle has a base of 16" in height of 1/8 inch what is the area?
Answer:
Area of triangle is 1 inches²
Step-by-step explanation:
We are given:
Base of triangle = 16 inches
Height of triangle = [tex]\frac{1}{8} \:[/tex] inches
We need to find:
Area of triangle
The formula used to find Area of triangle is:
[tex]Area \:of\: triangle=\frac{1}{2}\times b \times h[/tex]
where b is base and h is height.
Putting values and finding area:
[tex]Area \:of\: triangle=\frac{1}{2}\times 16 \times \frac{1}{8}\\ Area \:of\: triangle=\frac{16}{16}\\ Area \:of\: triangle=1\:inches^2[/tex]
So, Area of triangle is 1 inches²
3. Angles 1 and 2 are complementary. If mZ1=47°, find m2. *
WILL give 5 star thanks and brainliest
Answer:
There are 20 students in the class
Step-by-step explanation:
Answer:
I believe it is 20
Step-by-step explanation:
Tell me if I am wrong so I can improve.
55 - 3x7 + 8 divided by 4=?
Answer:56 :)
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
guys help
Find the product of the following :
a. (-23) x 93
b. (- 16 ) x (- 30)
c. 14 x (- 12)
Step-by-step explanation:
(-23) x 93 = - 2139
(- 16 ) x (- 30) = 480
14 x (- 12) = - 168