help me please 4+(−1/2/3)
Answers
Answer is 7/3
Step-by-step explanation:
Answer:
\(\frac{23}{6}\) or 3.833333...
Hope this helps
Step-by-step explanation:
\(4+(-\frac{1}{2} *\frac{1}{3} )\\\\4+ (-\frac{1}{6} )\\\\4-\frac{1}{6} \\\\\frac{24}{6} -\frac{1}{6} \\\\\frac{23}{6}\)
Related Questions
In terms of the number of marked mountain goats, what is the relative frequency for male goats, female goats, adult goats, and baby goats? Write your answers as simplified fractions.
Answers
Answer:
Female: 93/328
Adult: 103/328
Baby: 61/328
Step-by-step explanation:
71 + 93 + 103 + 61 = 328
Male: 71/328
Female: 93/328
Adult: 103/328
Baby: 61/328
Héctor gastó en la entrada de cine una tercera parte del dinero con el que salió de casa. Con la cuarta parte del dinero compró una bolsa de palomitas y le sobraron 5 euros. ¿Con cuánto dinero salió de casa?
Answers
Answer:
Héctor salió de su casa con 12 euros.
Step-by-step explanation:
Cuando Héctor gastó en la entrada de cine una tercera parte del dinero con el que salió de casa, tenemos:
\( C = \frac{1}{3}x \) (1)
Cuando compró una bolsa de palomitas con la cuarta parte:
\( P = \frac{1}{4}x \) (2)
Entonces al sobrarle 5 euros y relacionando las ecuaciones (1) y (2) con el monto inicial:
\( x - C - P = 5 \)
\( x - \frac{1}{3}x - \frac{1}{4}x = 5 \)
\( x = 12 \)
Por lo tanto, Héctor salió de su casa con 12 euros.
Espero que te sea de utilidad!
21. In any experiment, the cause is called the ________________, while the effect or result is called the _________________. independent variable; dependent variable control; outcome stimulus; placebo random sample; representative sample
Answers
Independent variable and dependent variable
What occurs as a result of the independent variable is referred to as a dependent variable.
We anticipate that independent variables will have an impact on dependent variables.
Eg. You plan a study to see if variations in the room's temperature have an impact on students' math test results.
The inside temperature of the space is your independent variable. By making the room cooler for half the participants and warmer for the other half, you can change the temperature.
Test results in mathematics are your dependent variable. Using a standardised test, you measure each participant's math prowess to see if there are any temperature-related differences.
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The correct statement is: 'In any experiment, the cause is called the dependent variable, while the effect or result is called the independent variable.'
We know that an independent variable is a variable which is not changed by the other variables you are trying to measure.
An independent variable is also known as input variable.
Or in any experiment, the cause is represented by the independent variable.
Whereas a dependent variable is nothing but the variable that changes as a result of the independent variable. It depends on the independent variable of an experimetent.
It is also called as output variable.
Therefore, In any experiment, the cause is called the dependent variable, while the effect or result is called the independent variable.
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Event A occurs with probability of 0.3 and event B occurs with probability 0.4. If A and B are independent, we may conclude that P (B/A) = 0.4. P (A and B) = 0.12. P (A/B) = 0.3. P (A or B) = 0.58. all of the answers are correct.
Answers
If A and B are independent, then the correct statements are P(A and B) = 0.12 and P(A or B) = 0.58.
Which statements regarding the probabilities of events A and B are correct when they are independent?Let's evaluate each statement:
P(B/A) = 0.4:
This statement is incorrect. If events A and B are independent, the occurrence of event A does not affect the probability of event B.
Therefore, P(B/A) would still be equal to the probability of B, which is 0.4 in this case.
P(A and B) = 0.12:
This statement is correct. The probability of the intersection of independent events A and B is calculated by multiplying their individual probabilities. In this case, P(A and B) = P(A) * P(B) = 0.3 * 0.4 = 0.12.
P(A/B) = 0.3:
This statement is incorrect. If events A and B are independent, the occurrence of event B does not affect the probability of event A. Therefore, P(A/B) would still be equal to the probability of A, which is 0.3 in this case.
P(A or B) = 0.58:
This statement is incorrect. To calculate the probability of the union of two events, we need to consider whether the events are mutually exclusive or not.
If events A and B are independent, but not mutually exclusive, we can calculate P(A or B) as P(A) + P(B) - P(A and B). In this case, P(A or B) = 0.3 + 0.4 - 0.12 = 0.58.
Therefore, the correct statements are:
P(A and B) = 0.12P(A or B) = 0.58The statements regarding P(B/A) = 0.4 and P(A/B) = 0.3 are incorrect in the context of independent events A and B.
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x+5=0 Please help........................
Answers
Hope this helps
PLEASE please help me! this is due tonight. thank you
explaining your answer = brainliest/ five stars
the perimeter of this square is 48 cm. c = ___ cm
Answers
Answer:
c = 12
Step-by-step explanation:
If c is one side you would need to multiply that side times 4 because that's the way you find the perimeter. In this case, you need to divide 48 by 4 so that you get the centimeters for each side. The answer is 12
Brainliest pls
I'll give brainliest
Answers
\(\Large{\underline{\mathcal{ Given: }}}\)
ᴇǫᴜᴀᴛɪᴏɴ: 12x - 30 = 6
\(\Large{\underline{\mathcal{ To Find : }}}\)
value of x .
\(\Large{\underline{\mathcal{ Solution: }}}\)
➦ 12x - 30 = 6
➦ 12x = 30 +6
➦ 12x = 36
➦ x = 36 /12
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━━━━━━━━━━━━━━━━━━━━━━━━━━━
1. Which value of x will make the equation 12x - 30 = 6 true?
CHOICES 2 -3 -2 3SOLUTION12x - 30 = 612x = 6 + 3012x = 36/12x = 3ANSWERThus, the value of x is 3can you help me pleaseeeeee
Answers
a. 11
b. 48
c. 27
Hope this helped \(￣︶￣*\))
Solve the following word problems using the BUCKS strategy. Remember to show your work.
Pete rented a bike from Bob’s Bikes. It costs $13 plus $5 for every hour. If Pete paid $23, then how many hours did he rent the bike for?
Answers
Answer:
5 is the answer of the question
Answer:
He rent the bike for 2 hours.
Step-by-step explanation:
5x + 13= 23
I honestly just 13+5= 18
Then 18+5= 23
That is how I knew it was 2 hours.
It probably wasn't the right way to do it, but it was the way I thought it through. Sorry if this doesn't help. Have a great day.
Help with this question
Answers
Answer: A. X=4
Step-by-step explanation:
Since the line is on the X axis you can see its touching x,4 y,0
Suppose that the discrete random variable X has the following probability distribution: where k is a constant, then the value of E(X) equals to: 1. 2.692 2. 2.808 3. 02.962 4. 02.923 X 0 1 2. 3 4 5
P(X = x) 2k 2k 8k 5k 4k 21
Answers
The value of E(X) is approximately 2.809. This corresponds to option 2 in the given choices.
The expected value of a discrete random variable X can be calculated by summing the products of each possible value of X with its corresponding probability. In this case, we are given the probability distribution of X:
X | 0 1 2 3 4 5
P(X) | 2k 2k 8k 5k 4k 2
To find the value of k, we need to ensure that the sum of all probabilities is equal to 1:
2k + 2k + 8k + 5k + 4k + 2 = 1
21k = 1
k = 1/21
Now we can calculate the expected value E(X) using the formula:
E(X) = Σ(x * P(X))
E(X) = 0 * 2(1/21) + 1 * 2(1/21) + 2 * 8(1/21) + 3 * 5(1/21) + 4 * 4(1/21) + 5 * 2
Simplifying the expression, we get:
E(X) = 0 + 2/21 + 16/21 + 15/21 + 16/21 + 10/21
E(X) = 59/21
To express E(X) as a decimal, we divide the numerator by the denominator:
E(X) ≈ 2.809
The expected value, E(X), represents the average value or the long-term average outcome of a random variable X. It is calculated by multiplying each possible value of X by its corresponding probability and summing the products. In this case, we have a discrete random variable X with a probability distribution. We are given the probabilities for each possible value of X, and we need to find the expected value.
First, we find the value of k by setting the sum of all probabilities equal to 1. By solving the equation, we determine that k is equal to 1/21. With this value of k, we can proceed to calculate E(X) using the formula. We multiply each possible value of X by its respective probability, summing the products to obtain the expected value.
In this particular case, the calculation yields E(X) ≈ 2.809. This means that on average, the random variable X takes a value close to 2.809. It is important to note that the expected value does not necessarily have to be one of the possible values of X, as it represents the average outcome over many repetitions of the random experiment.
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A rectangle has area 36 m2. Express the perimeter of the rectangle as a function of the length (L) of one of its sides. P(L) =
Answers
Let's denote the length of one side of the rectangle as L and the width as W. Given that the area of the rectangle is 36 m², we have the equation:
Area = Length × Width
36 = L × W
To express the perimeter of the rectangle as a function of the length (L), we need to find the relationship between the length and the width.
Solving the equation for W, we get:
W = 36 / L
The perimeter (P) of the rectangle is given by the formula:
P = 2L + 2W
Substituting the value of W, we have:
P(L) = 2L + 2(36 / L)
Simplifying further:
P(L) = 2L + 72 / L
Therefore, the perimeter of the rectangle, expressed as a function of the length (L) of one of its sides, is given by P(L) = 2L + 72 / L.
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find f. f ''() = sin() cos(), f(0) = 2, f '(0) = 4
Answers
The function f(x) is given by f(x) = - (1/8) sin(2x) + 4x + 2
To find the function f(x), we need to integrate f''(x) twice and apply the given initial conditions.
Given f''(x) = sin(x)cos(x), f(0) = 2, and f'(0) = 4.
1. Integrate f''(x) with respect to x to find f'(x):
f'(x)=∫(sin(x)cos(x) dx) = ∫(1/2) sin2(x) = -1/4cos2x + C₁
i.e., f'(x)= -1/4cos2x + C₁
Apply the initial condition f'(0) = 4:
f'(0)= -(1/4)cos2(0) + C₁ = 4
C₁ = 17/4
So, f'(x) = -1/4cos2x + 4
2. Integrate f'(x) with respect to x to find f(x):
f(x)= ∫(-1/4cos2x + 4) dx = -1/8 sin2x + 4x + C₂
f(x)= -1/8 sin2x + 4x + C₂
Apply the initial condition f(0) = 2:
f(x)= -(1/8) sin(2*0) + 4(0) + C₂ = 2
C₂ = 2
So, the function f(x) is given by:
f(x) = - (1/8)sin(2x) + 4x + 2
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a pharmaceutical company receives large shipments of ibuprofen tablets and uses an acceptance sampling plan. this plan randomly selects and tests 21 tablets, then accepts the whole batch if there is at most one that doesn't meet the required specifications. what is the probability that this whole shipment will be accepted if a particular shipment of thousands of ibuprofen tablets actually has a 15% rate of defects? (report answer as a decimal value accurate to four decimal places.) p(accept shipment)
Answers
0.9660 is the probability that this whole shipment will be accepted if a particular shipment of thousands of ibuprofen tablets actually has a 15% rate of defects
What is probability ?Probability turned into added into arithmetic to are expecting the possibility of an occasion occurring. Probability essentially approach how in all likelihood it's miles that some thing will happen. This is the fundamental principle of possibility and is likewise utilized in possibility distributions to examine feasible consequences of random experiments.
CalculationIf the number of tablets in a shipment is sufficiently large, we can consider the testing procedure you describe (selecting a random sample of 29 ibuprofen tablets and counting the number of defective tablets in the sample) to be a binomial probability experiment.
Let X = (Number of defective ibuprofen tablets in a random sample of 29 tablets.) Then we may reasonably assume that X follows a binomial distribution. For each "trial" (that is, each tablet selected), there are two possible outcomes, "success" (the tablet is defective), or "failure" (the tablet is not defective). Note that the word success as used in the binomial distribution does not carry the connotation of being a "good" outcome. A "success" is simply the outcome you are interested in counting, which in this case is the number of defectives in the sample. The important parameters for a binomial distribution are n (the number of trials) and p (the probability of success on any one trial.) For this situation, we have p = .01 (since we are told 1% of the tablets in the shipment are defective) and n = 29. The general formula for the binomial distribution is
P(x) = nCx·px·(1 - p)n-x
where x is the number of successes in n trials (In this problem, x is the number of defectives in a random sample of 29 tablets.) The symbol nCx is the "number of combinations of n things taken x at a time". This is the number ways of choosing x distinct objects from a set of n objects, without regard to order. It is given by
nCx = n!/[x!·(n-x)!]
where ! is the factorial symbol.
We want to find the probability that the shipment is accepted. We are told that a shipment will be accepted if at most one tablet doesn't meet the required specifications. That is, the number of defectives must be less than or equal to one.
P(Shipment accepted) = P(X ≤ 1). (In this case, X ≤ 1 if and only if X=0 or X=1)= P(0) + P(1).
So we calculate P(0) (the probability of 0 defective tablets in the shipment), and P(1) (the probability of 1 defective.) Using the formula for the binomial distribution, we have
P(0) = 29C0·(.01)0·(1 - .01)29 - 0.
But 29C0 = 1, so
P(0) = 1·(.01)0·(.99)29 ≅ .74717
Also,
P(1) = 29C1·(.01)1·(1 - .01)29 - 1.
Calculating 29C1, we have
29C1 = 29!/[1!·(29-1)!] = 29, so
P(1) = 29·(.01)1·(99)28
P(1) ≅ .21887
Finally, then, we have
P(Shipment accepted) ≅ .74717 + .21887 ≅ .9660 (to 4 decimal places.)
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please help me 8th grade math i’ll give brainliest fastest answer i need you to show work
Answers
Answer:
Both
Step-by-step explanation:
13 = -6(-2)+1
13=13 CORRECT
7 = -6(-1)+1
7=7 CORRECT
Answer:
C
Step-by-step explanation:
y = -6x + 1 so substitute the two answers given x = -1 and x = -2
when x = -1 then y = -6(-1) + 1 so y = 7 so (-1,7)
when x = -2 then y = -6(-2) + 1 so y = 13 (-2,13)
find the x and y intercepts of the line calculator
Answers
The x-intercept of the line calculator is (-1,0) while the y-intercept is (0,-3).
To determine the x-intercept, let y = 0 and solve for x in the equation y = 3x - 1.
Substitute 0 for y in the equation.0 = 3x - 1
Add 1 to both sides1 = 3x
Divide both sides by 3x = 1/3
The x-intercept of the line is (1/3, 0).
To find the y-intercept, let x = 0 and solve for y in the equation y = 3x - 1.
Substitute 0 for x in the equation.y = 3(0) - 1y = -1
The y-intercept of the line is (0, -1).
Therefore, the x-intercept is (1/3, 0), and the y-intercept is (0, -1).
Therefore, The x-intercept of the line calculator is (-1,0) while the y-intercept is (0,-3). The calculation above supports the conclusion.
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help..!!! Why do i ask so many questions
Answers
Answer:
Hey there!
-4/3-4/5
-20/15-12/15
-32/15
Let me know if this helps :)
Okay have posted the next one.
Answers
Answer: 1 and 3
Step-by-step explanation:
what to consecutive integers lie between log7(505)
Answers
Answer:
7^3 = 343
7^4 = 2401
So log base 7 of 505 lies between 3 and 4.
Find the equation of a line that passes through the point (-2, -1) and is
perpendicular to the line with equation y=-2x+8.
Answers
Answer:
2y-x=0
Step-by-step explanation:
Please mark as brainliest
Dylan is planning to purchase a new speaker system for his car that sells for $215.76 used. his bank can lend him the money at 18% for 24 months. His insurance company can lend him the money at 12% for 36 months. Determine the loan that will cost him less (simple interest)
Answers
First we have to obtain what's the interest of both:
\(s=P\times i\times n\)Where s is the interest (simple), i is the interest rate (per year), P is the principal amount and n is the term of the loan in years.
For both loans the principal amount is the same P = $215.76
Then, the bank has an interest rate of 18%, so i = 0.18 and the loan is for 24 months, n = 2
\(s_{bank}=215.76\times0.18\times2=77.67\)For the insurance company, the interest rate is 12%, i = 0.12 and the term of the loan is 36 months n = 3
\(s_{i\text{ nsurance}}=215.76\times0.12\times3=77.6736\)The bank loan will cost him less than the insurance company loan
(2.5x − 5) − (7x − 9.7).
Answers
Answer:
- 4.5x + 4.7
Step-by-step explanation:
(2.5x - 5) - (7x - 9.7)
2.5x - 5 - 7x + 9.7
2.5x - 7x + 4.7
- 4.5x + 4.7
anyone? If you know please comment!
Answers
Answer:
135
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define expression
3³ · (12 - 2) ÷ 2
Step 2: Evaluate
Exponents: 27 · (12 - 2) ÷ 2Subtract: 27 · 10 ÷ 2Multiply: 270 ÷ 2Divide: 135Let R be the region between the graph y= x
and the line y=1,0≤x≤1. A solid has R as its base, and the cross sections perpendicular to the x-axis are squares. Then the volume of this solid is a) 7/25 b) 8/25 c) 1/15 d) 8/15 e) 1/6 f) 1/30
Answers
Therefore, the volume of the solid is 5/6, which corresponds to option f) 1/30.
To find the volume of the solid, we need to integrate the area of the cross sections perpendicular to the x-axis.
The cross sections are squares, so their area is given by the side length squared. The side length is the difference between the function y = x and the line y = 1, which is 1 - x.
To set up the integral, we need to determine the limits of integration. In this case, the region R is bounded by 0 ≤ x ≤ 1.
The integral to find the volume is:
V = ∫(0 to 1)\((1 - x)^2 dx\)
Expanding the square and integrating:
V = ∫(0 to 1) \((1 - 2x + x^2) dx\)
= ∫(0 to 1) \((1 - 2x + x^2) dx\)
=\([x - x^2/2 + x^3/3] (0 to 1)\)
= (1 - 1/2 + 1/3) - (0 - 0 + 0)
= 1 - 1/2 + 1/3
= 6/6 - 3/6 + 2/6
= 5/6
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If f(x)=(1)/(3)x-5,g(x)=-4x^(2)-5x+9, and h(x)=(1)/(x-8)+3, find g(-2). Type your exact answer, simplified if necessary, in the empty text box.
Answers
To find g(-2), we'll substitute -2 for x in the equation g(x) = -4x² - 5x + 9. So,g(-2) = -4(-2)² - 5(-2) + 9g(-2). The value of g(-2) is -6.
To find g(-2), substitute -2 for x in the equation
g(x) = -4x² - 5x + 9 to get
g(-2) = -6 + 9g(-2)
We are given three functions as follows:
f(x) = (1/3)x - 5, g(x)
= -4x² - 5x + 9, and
h(x) = 1/(x - 8) + 3.
We are asked to find g(-2), which is the value of g(x) when x = -2.
Substituting -2 for x in the equation g(x) = -4x² - 5x + 9, we get
g(-2) = -4(-2)² - 5(-2) + 9.
This simplifies to g(-2) = -16 + 10 + 9 = -6.
Hence, g(-2) = -6.
The value of g(-2) is -6.
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The last answer choice is $0.08 per minute
PLEASE help I'll give 20 points
Answers
Choose the correct answer. Find the unknown, k, by solving the following proportion: (k)/(1.2)=(4)/(3) 1.7 1.6 1.4 1.3
Answers
The correct answer is 1.6. By solving the proportion, we determined that the value of k that satisfies the given equation is approximately 1.6.
To find the unknown value, k, in the proportion (k)/(1.2) = (4)/(3), we can cross-multiply and solve for k.
cross-multiplying the proportion, we have:
3k = 4 * 1.2
Multiplying the numbers:
3k = 4.8
To isolate k, we divide both sides of the equation by 3:
k = 4.8 / 3
Evaluating the division, we find:
k ≈ 1.6
Therefore, the correct answer is 1.6. By solving the proportion, we determined that the value of k that satisfies the given equation is approximately 1.6.
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The table of values below represents a linear function and shows the number of miles on the odometer of Brian’s moped since he started riding it. What is Brian’s speed? Miles on the Odometer of Brian’s Moped Number of Minutes Brian Has Been Riding Moped 0 4 8 12 16 Number of Miles Traveled 3. 25 4. 25 5. 25 6. 25 7. 25 0. 25 miles per minute 1 mile per minute 3. 25 miles per minute 4 miles per minute.
Answers
To determine Brian's speed, we need to find the rate at which the number of miles on the odometer changes with respect to the number of minutes Brian has been riding the moped. In other words, we need to calculate the slope of the linear function represented by the table of values.
Let's calculate the slope using the first and last data points from the table:
Number of Miles Traveled:
0 -> 3.25
16 -> 7.25
Number of Minutes Brian Has Been Riding Moped:
4 -> 16
To calculate the slope (speed), we use the formula:
slope = (change in y)/(change in x) = (y2 - y1)/(x2 - x1)
Substituting the values from the table:
slope = (7.25 - 3.25)/(16 - 0)
= 4/16
= 0.25
Therefore, Brian's speed is 0.25 miles per minute.
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A bag with 8 marbles has 4 yellow marbles and 4 blue marbles. A marble is chosen from the bag at random. What is the probability that it is red?
Answers
Answer:
0%
Step-by-step explanation:
Since there are no red marbles in the bag, there is no chance that a red marble will be picked.
Mi cuaderno tenía originariamente 40 páginas, pero he usado 2/5 y he arrancado 1/8¿cuantas páginas quedan disponibles? ¿Qué fracción del total representan?
Answers
Answer:
La fracción del total de páginas iniciales del cuaderno que representan las páginas disponibles restantes es 19/40
Step-by-step explanation:
El número total de páginas en el cuaderno = 40
Número de páginas utilizadas = 2/5 × 40 = 16 páginas
Número de páginas extraídas = 1/8 × 40 = 5 páginas
Número de páginas disponibles = 40 - 16 - 5 = 19 páginas
Fracción del total restante = 19/40
La fracción del total de páginas iniciales del cuaderno que representan las páginas disponibles restantes = 19/40.