Answer:
Step-by-step explanation:
the probability of snow for each of the next three days is $\frac{2}{3}$. what is the probability that it will snow at least once during those three days? express your answer as a common fraction.
Answer: 3/4 *3/4 *3/4 = 27/64 this is the proabability that is DOES snow every day. 1-27/64 = 37/64 this is the proabability that is DOES NOT snow EVERY day. 1/(4^3) = 1/64 IS the probability that is does not snow AT ALL for the 3 days.
Step-by-step explanation:
if f(x) = 3x^2 and g(x) = √2x what is the value of (f o g)(8)?
Answer: front tear
Step-by-step explanation:
The given expression of the values of the function, f(3) - g(2) = 1
What is value of a function?A function is a relation that relates each element of one set a unique element of another set.
If f is a function and f (x) = x+2, The value of f (x) at x =1 is given as f(1) and substitute 1 in place of x in the formula of f(x)
⇒ f(1) = 1+2 =3
If f(x) = 3x-4 and g(x) = x², find the value of f(3) - g(2)
Given f(x) = 3x-4
Then value of f at x=3 ⇒ f(3) = 3(3) -4 = 9-4 = 5
And Given g(x) = x²
Then value of g at x=2 ⇒ g(2) = (2)² = 4
The value f(3) - g(2) = 5 - 4 = 1
Therefore, the value of f(3) - g(2) is 1.
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(Order of Operations with Radicals MC) Simplify the expression. one half cubed − 4 ÷ square root of 64 negative thirty-one over sixty-four negative three eighths three eighths thirty-one over sixty-four
The solution to one half cubed − 4 ÷ square root of 64 is negative three eighth
How to simplify the expression?The expression is given as:
one half cubed − 4 ÷ square root of 64
Rewrite the expression properly as follows:
(1/2)^3 − 4/√64
Take the square root of 64
(1/2)^3 − 4/8
Evaluate the quotient of 2 and 8
(1/2)^3 − 1/2
Take the cube of 1/2
1/8 - 1/2
Evaluate the difference
-3/8
Hence, the solution to one half cubed − 4 ÷ square root of 64 is negative three eighth
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a wooden artifact from an ancient temple has a 14c activity of 38.0 counts per minute as compared with an activity of 58.2 counts per minute for a standard at zero age. the half-life of 14c is 5715 years. what is the age of the artifact?
The age of the artifact is 3523.77 years.
What is radioactive decay?
The process of radioactive decay is how an unstable atomic nucleus loses energy through radiation. A substance that has unstable nuclei is regarded as radioactive.
Here,
The half-life of the reaction is defined as the time required by a substance to reach half its initial concentration. It is represented by t(1/2)
All radioactive decay processes follow the first-order reaction.
The equation for the half-life for first-order reaction follows:
t(1/2) = 0.693/k....(1)
where,
k = rate constant of a first-order reaction
Given value:
t(1/2) = 5715 years
Put the value of t in equation (1), and we get
k = 0.693/5715
k = 1.21×10⁻⁴yr
The integrated rate law expression for first-order reaction follows:
t = 2.303/k×㏒(a/(a-x))
where,
t = time period
a = initial concentration of the reactant = 58.2 counts per minute
(a-x) = Concentration of reactant left after time t = 38.0 counts per minute
k = rate constant of a first-order reaction
Put the values in the equation and we get
t = 2.303/1.21×10⁻⁴㏒58.2/38
t = 3523.77 years.
Hence, the age of the artifact is 3523.77 years.
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finish the porblem-
Enter the correct equation in the box.
Answer:
y = -3/4 x
Step-by-step explanation:
Divide y by − 3/4 by multiplying by by the reciprocal of − 3/4 therefore x= -4y/3
.
Write an equation for the nth term of the arithmetic sequence. Then find a50.
26, 22, 18, 14, ...
First, we need a few things.
The first term = 26
The common difference = 22 - 26 = -4
26 - 4(n - 1) is our equation.
Let's plug 50 into n to find a50
a50 = 26 - 4(50 - 1)
a50 = 26 - 4(49)
a50 = 26 - 196
a50 = -170
Brainliest!!!
What is 30 divided by 5?
Really Easy!
Answer:
6
Step-by-step explanation:
Answer:
The answers 6 gorgious
(1 point) Wine the system z' = e^8tx - 2ty + 6 sin(t), y' = 8 tan(t) y +6x - 8 cos(t) in the form . d/dt [x y] = P(t) [x y ] +f(t)
To write the given system in the form of d/dt [x y] = P(t) [x y] + f(t), we need to express it in matrix form.
Let's rewrite the system of differential equations:
x' = e^(8tx) - 2ty + 6sin(t)
y' = 8tan(t)y + 6x - 8cos(t)
Now, we can rewrite it in matrix form as:
[d/dt [x y]] = [P(t) [x y] + f(t)],
where [x y] represents the vector [x y] and P(t) is the coefficient matrix.
Comparing the coefficients, we have:
P(t) = [[e^(8tx) - 2t, 6], [6, 8tan(t)]]
f(t) = [6sin(t), -8cos(t)]
Therefore, the system can be written in the desired form as:
d/dt [x y] = [[e^(8tx) - 2t, 6], [6, 8tan(t)]] [x y] + [6sin(t), -8cos(t)].
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Find the value of x.
Answer:
3 for the first question and 12 for the second question
Step-by-step explanation:
For the first question 6^2 = 12 × X and 36 = 12x divide both sides by 12 and x = 3
For the second question x^2 = 18 × 8
x^2 = 144
x = 12
Hi I need someone that is good with math. I’m having trouble finding the answers. Can someone help me thank you.
Answer:
Hi! Maybe I can help you because I'm good at math.
Here's some of the answers:
1. 4
2. 15
3. 6
4. 12
5. 2
6. 14
7. 11
8. 1
9. 9
10. 12
Step-by-step explanation:
If you have questions about math you can ask me. Maybe I can help you.
Answer:
1. 4
2.15
3.6
4. 12
5. 2
6. 4
7. 11
8. 1
9. 9
10. 12
11. 10
12. 13
13. 1
14. 1
15.2
16. 1
17. 7
18. 4
19. 15
20. 14
21. 3
22. 2
23. 9
24. 6
Step-by-step explanation:
the measures of the bases of a trapezoid are 35 and 71. find the measure of the midsegment.
Answer:
Step-by-step explanation:
3245
express 0,2:0,15 as a ratio between whole numbers, in its simplest form
Answer:
yes it is in simpleat form
what is 24 – ( n + 3 ) ÷ 2 when n = ?
Answer:
16 or 8
Step-by-step explanation:
I'm not sure if this are right
A scale model of a large, three-dimensional “real world” object uses a scale of 0.5 in. = 50 ft.
Fred was only able to measure the model using metric units. He measured the length of the model as 372.5 mm.
Fred knows that 1 inch = 2.54 cm and that 1 cm = 10 mm.
What is the approximate length of the actual “real world” object?
A.
244.3 ft
B.
122.2 ft
C.
2,932 ft
D.
1,467 ft
The approximate length of the actual object is 1465 ft, which is closest to option D.
What is a scale factor?The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).
First, let's convert the length of the model from millimeters to inches:
372.5 mm = 372.5/10 cm = 37.25/2.54 in ≈ 14.65 in
Next, we can use the scale of the model to find the length of the actual object in feet:
0.5 in. = 50 ft.
So, 1 in. = 100 ft.
Therefore, the length of the actual object in feet is:
14.65 in x (100 ft/in) = 1465 ft
Therefore, the closest length is 1467 feet.
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In the formula I=P·r·t, what does r stand for?a.Rate: the percent that interest is paid annually as a decimalb.Ratio: the size of the interest interval compared to timec.Return: how much money you end up earningd.Reserves: how much money you have in the investmentPlease select the best answer from the choices providedABCD
The times taken by Amal to run three races were 3 minutes 10 seconds, 2 minutes 58.2 seconds and 3 minutes 9.8 seconds. Find the average time taken, giving your answer in minutes.
Robin helped her mom set a banquet table for dinner. She noticed that the width of the table was a third of its length. If the width is 9 feet, write and solve an equation to determine its length.
3L 9, L 3 feet
3+L 9, L=6 feet
L/3 = 9; L 27 feet
L-3=9, L=12 feet
L over 3 equals 9; L = 27 feet.
Answer:
The third one
the Length (L) is 27 since L/3
create a frequency distribution, this time separating results for sex categories. include in your analysis the appropriate measure of central tendency. are there any differences in their measures? explain.
a) Median will be an appropriate measure for the distribution. b) Mean will be an approprate measure for the distribution.
Here we already have the data available to us. From the data, we can clearly see that
Mode < Mean < Median
Hence this is a negatively skewed distribution.
Therefore the appropriate measure of central tendency for this distribution will be the median. The median will tell us the point at which the frequency is divided by 50%.
Hence we can say that the median will a more appropriate measure.
Now if the data has another aspect of sex included, then the frequency column would be divided into separate columns with each gender identity taking up its own column.
Since now this will become multivariate data, the best measure of central tendency will be Mean.
The difference in the measure of central tendency will depend upon how skewed the data for every sex will be. For example, if in a country, men preferred to be educated over women, then the mean for men will be a lot higher than that of women. On the other hand, the EDUC for women will be a lot lower.
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y = 6x - 13
5x - 2y = 5
Using the substitution method
Answer:
x=3, y=5
Step-by-step explanation:
Use the four-step process to find f
′
(x) and then find f
′
(1),f
′
(2), and f
′
(3). f(x)=x
2
+8x−6 f
′
(x)= f
′
(1)= (Type an integer or a simplified fraction.) f
′
(2)= (Type an integer or a simplified fraction.) f
′
(3)= (Type an integer or a simplified fraction.)
Using the four-step process, f'(1) = 10, f'(2) = 12, and f'(3) = 14.
To identify f'(x), the derivative of f(x), using the four-step process, we can follow these steps:
1: Identify the function.
The given function is f(x) = x^2 + 8x - 6.
2: Apply the power rule.
Differentiate each term of the function separately.
The derivative of x^2 is 2x.
The derivative of 8x is 8.
The derivative of -6 is 0 (constant term).
3: Simplify.
Combine the derivatives obtained in step 2.
So, f'(x) = 2x + 8.
4: Evaluate f'(1), f'(2), and f'(3).
Substitute x = 1, 2, and 3 into the derived equation to identify the respective values.
f'(1) = 2(1) + 8 = 10.
f'(2) = 2(2) + 8 = 12.
f'(3) = 2(3) + 8 = 14.
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a scientist uses a submarine to study ocean life. she begins at sea level, which is an elevation of 0 feet. she travels straight down for 102 seconds at a speed of 4.2 feet per second. she then ascends for 112 seconds at a speed of 1.9 feet per second. at this point, how many feet is she below sea level?
The depth of the scientist below sea level after traveling downward for 102 seconds can be found by multiplying her speed by the time she traveled:
Distance = Speed x Time
Distance = 4.2 feet/second x 102 seconds
Distance = 428.4 feet
Since she traveled straight down, this distance is also her depth below sea level.
Next, we need to find how far she ascended. The distance she traveled upward can be found in the same way:
Distance = Speed x Time
Distance = 1.9 feet/second x 112 seconds
Distance = 212.8 feet
However, since she traveled upward, this distance is subtracted from her previous depth:
Final depth below sea level = Initial depth below sea level - Distance traveled upward
Final depth below sea level = 428.4 feet - 212.8 feet
Final depth below sea level = 215.6 feet
Therefore, the scientist is 215.6 feet below sea level at this point.
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Calculate the mean for each set of data.
a 12, 18, 9, 14, 8, 7
Answer:
11.3, rounded
Step-by-step explanation:
mean = average. Add them all up, then divide by how many entries/data points you have.
12 + 18 + 9 + 14 + 8 + 7 = 68
There are 6 numbers we added, so 68/6 = 11.3333333
Please let me know if you have questions.
What is the value of 4.3X 10^5
Answer: 430000
Step-by-step explanation: you have to do pemdas
Answer: 430,000. /four hundred thirty thousand
Step-by-step explanation:
The value of 4.3 x 10^5 is 430,000.
To understand this, the notation 4.3 x 10^5 represents a number in scientific notation, where 4.3 is the coefficient or significand, and 10^5 is the exponent. The exponent of 10 tells us how many places to move the decimal point to the right. In this case, the exponent 5 means we need to move the decimal point five places to the right.
Starting with 4.3, we move the decimal point five places to the right to get 430,000. So, 4.3 x 10^5 is equivalent to 430,000.
(02.04 HC)
A random sample of online makeup tutorial videos and sales of makeup was measured, and the computer output for regression was obtained:
Coefficients Standard Error t Stat P-value
Intercept −7.567857143 0.426240686 −17.7549 1.04E-05
Makeup Tutorial Videos 0.917857143 0.028166777 32.58652 5.11E-07
R-sq. = 99.53% R-sq. (adj) = 99.44%
Part A: Use the computer output to determine the LSRL. Identify all the variables used in the equation. (3 points)
Part B: What proportion of the variation in makeup sales is explained by its linear relationship to makeup tutorial videos? Explain. (4 points)
Part C: Determine if increased makeup sales were caused by online makeup tutorial videos. Explain your reasoning. (3 points)
Answer:
Explained below.
Step-by-step explanation:
A.
The least square regression line is:
\(\hat y=-7.567857143+0.917857143\cdot x\\\\\approx \\\\\hat y=-7.568+0.918\cdot x\)
Here,
y = estimated sales of makeup
x = number of online makeup tutorial videos
a = -7.568 = intercept
b = 0.918 = slope of the regression line
B.
The coefficient of determination R² specifies the percentage of the variance in the dependent-variable (Y) that is forecasted or explained by linear regression and the forecaster variable (X, also recognized as the independent-variable).
So, the proportion of the variation in makeup sales that can be explained by its linear relationship to makeup tutorial videos is 99.53%.
C.
Consider the LSRL.
The slope of the regression line is positive, i.e. there is a positive relationship between the makeup sales and the online makeup tutorial videos.
So, with one unit increase in the online makeup tutorial videos the makeup sales goes up by 0.918 units.
Thus, it can be said that the increased makeup sales were caused by online makeup tutorial videos.
pls help due in an hour if u get it right ill mark you brainliest
Answer:
The answer is ≈3 to the nearest whole number
Step-by-step explanation:
using SOH CAH TOA
BCA
sin0=opp/hyp
sin0=7.9/11
0=sin‐¹(7.9/11)
0=46 to the nearest degree
<A=<D
so,<EDF=46°
tan0=adj/hyp
tan46=x/3.3
x=tan46×3.3
x=3 to the nearest whole number
determine whether the raltion r on the set ofall integers is reflexin x =y^2
The relation "r" on the set of all integers, where x = y^2, is not reflexive.
A relation is reflexive if every element in the set is related to itself. In this case, for the relation x = y^2 to be reflexive, every integer "x" should be related to itself, meaning that x = x^2. However, this is not true for all integers.
For example, if we consider x = 2, it is not equal to 2^2 = 4. Similarly, if we consider x = -3, it is not equal to (-3)^2 = 9.
Since there are integers that do not satisfy the condition x = x^2, the relation x = y^2 is not reflexive on the set of all integers.
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Write the equation of a line that contains (2,−2) and perpendicular to another line with slope −1.
Answer:
y = x - 4
Step-by-step explanation:
Perpendicular slope = 1
y + 2 = 1 (x - 2)
y + 2 = x - 2
y = x - 4
Answer:
Y= x -4 is the correct answer
f(x)=3x2+2x−3
g(x)=2x+4
Answer:
what are we supposed to find here ?
Jim thinks that the value of a baseball card can be modeled by a decay formula and that the value will decrease at a rate of 0.2% each year. The card was originally valued at $250 in 2007.
What would Jim expect the value of the card to be in 2018?
Answer: $244.55
A = $250 ; r=0.002 t= 11 [From 2007 to 2018 , t=2018-2007]
The ellipse 12x2+2x+y2=1 has its center at the point (b,c) where b= c= The length of the major diameter of this ellipse is
The length of the major diameter of the ellipse is 4.
What is the major diameter length of the given ellipse?The equation of the given ellipse is 12x² + 2x + y² = 1. To determine the length of the major diameter, we need to find the distance between the two farthest points on the ellipse along its major axis.
The general equation of an ellipse is (x-h)²/a² + (y-k)²/b² = 1, where (h, k) represents the center, a represents the length of the semi-major axis, and b represents the length of the semi-minor axis.
Comparing the given equation to the general equation, we can see that the coefficient of x² is 12, indicating that the length of the semi-major axis is 1/√12 = √(1/12) = 1/(2√3) = √3/6.
Since the major diameter is twice the length of the semi-major axis, the length of the major diameter is 2 * (√3/6) = √3/3. Simplifying, we get the final answer: the length of the major diameter of the given ellipse is 4.
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