The probability that the single battery-powered alarm clock works successfully when you need it is 99. 5 %.
The probability that both the battery-powered alarm clock and the smartphone alarm clock fail is 0. 00026.
The probability that both of them do not fail is 0. 94206.
How to find the probability ?The probability that the single battery-powered alarm clock works successfully is:
= 1 - probability of failure
= 1 - 0.005
= 0. 995
The probability that both the battery alarm clock and the smartphone alarm fail is :
= Probability of failure of battery x Probability of failure of smartphone
= 0. 005 x 0. 052
= 0. 00026
The probability that both the battery alarm clock and the smartphone do not fail is :
= 0.995 × 0.948
= 0. 94326
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9y-15x= -36 in slope intercept form
Answer:
y = (5/3)x - 4
Step-by-step explanation:
We put the equation in the form y = mx + b.
So,
9y - 15x = -36 implies that
3y - 5x = -12, dividing through by 4, and continuing we have that,
3y = 5x - 12
3y/3 = 5x/3 - 12/3, dividing through by 3, and continuing we have that,
y = (5/3)x - 4
I need help with this question please help.
Its gt geometry
Answer: First one is 140, second one is 70
Step-by-step explanation: They’re corresponding angles
Evaluate the following.
3 x 7 + 5 + 20 divided 5
Answer
30
Step-by-step explanation:
PEMDAS
(3x7) + 5 (20/5)
21 + 5 +4= 26+4
30
My lil sister said she needs help with ALL of the questions..........if you help i will give you brainliest
Answer: See explanation
Step-by-step explanation:
Monday
The sale price of the items was $41.40
Mrs. Bolden paid $2.48 in sales tax on her purchase.
Altogether, Mrs. Bolden paid $43.88 for the shirts and flip flops.
Tuesday
The price decreased by approximately 8%
3.44 ÷ 3.75 = 0.917
0.917 × 100 = 91.7
91.7 ≈ 92
100 - 92 = 8
8% of 3.75 is 0.3
3.75 - 0.3 = 3.45
3.45 ≈ 3.44
Wednesday
22 ¹/₂ yrs or 22 yrs if that's easier
127.5 ÷ 1500 = 0.085
0.085 × 100 = 8.5
100 - 8.5 = 91.5
4 1/4 = 4.25
91.5 ÷ 4.25 = 21.5294117647
21.5294117647 × 4.25 = 91.5
21.5294117647 ≈ 21 ¹/₂ yrs
Thursday
If she marked up the price by 40%, that means $15 is 60% the original/selling price.
60% of x = 15
0.6x = 15
Divide both sides by 0.6
x = 25
The selling price is $25
If you wanted to confirm, 0.6 × 25 = 15
Friday
3 jeans for $42 each
3 × 42 = 126
3 jeans for $126
5 shirts for $27 each
5 × 27 = 135
5 shirts for $135
126 + 135 = 261
6.5% of 261
0.065 × 261 = 16.965
16.965 to the nearest cent is 16.97
She would have to pay $16.97 for tax.
261 + 16.97 = 277.97
She won't have enough money to buy everything she wants since the total price would be over $275.
Write a phrase for the algebraic expression:
s +7
There are many possible answers for this.
One example is below.
S = the number of stations included when a person orders basic cable, write an expression for the number of stations a person has if he ordered basic cable and 7 premium channels.
We can represent this as s + 7.
The value that we don't know is the number of
stations included when a person orders basic cable.
So we can represent that as s.
Then, since the person ordered 7 premium channels, that means he
is adding an additional 7 channels to his basic cable plan.
So we can represent this as s + 7.
Answer:
a number plus 7
Step-by-step explanation:
s+7
Let s represent an unknown number
a number plus 7
12. (8x+15) + 45 + (18x+15) + 45
Evaluate \(( {2}^{3} ) {}^{2} \)
Nonsense Ans = REPORTED
A webite ha 300,000 member. The number $y$ of member increae by 11% each year. A. Write an exponential function that repreent the webite memberhip after t year. B. How many member will there be after 4 year? Round your anwer to the nearet ten thouand
A. y = \(a(1+r)^t\)an exponential function that represent the webite membership after t year:
B. 455421.123 many member will there be after 4 year
What is an exponential function?A mathematical function with the formula f (x) = an x is an exponential function. where an is a constant known as the function's base and x is a variable. The transcendental number e, or roughly 2.71828, is the exponential-function base that is most frequently seen.
When b > 0 and b 1, an exponential function has the form f(x) = bx. The base is b, and the exponent is x, just as in any exponential equation. The development of bacteria is an illustration of an exponential function. Some germs multiply by two per hour.
Given that,
members = 300000
member increased by 11%
an exponential function that represent the webite membership after t year:
y = \(a(1+r)^t\)
member will there be after 4 year:
y = \(300000 (1+0.11)^4\)
y = \(300000 (1.11)^4\)
y = 455421.123
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The function f(x) = 5x + 2,500 models the number of computer chips produced by a manufacturing plant each month during its first year. How many computer chips was the plant able to produce in month 3?
The number of computer chips produced in 3 months will be 2515.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the function f(x) = 5x + 2,500 models the number of computer chips produced by a manufacturing plant each month during its first year.
The number of chips will be calculated as:-
f(x) = 5x + 2,500
f(3) = 5 x 3 + 2500
f(3) = 15 + 2500
f(3) = 2515
Therefore, the number of chips will be 2515.
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What is the area of this figure?
Answer:
I love these kind of problems (yes I'm kidding,... lol) your answer is below,...
Step-by-step explanation:
To find the area of the whole shape lets view it as three seprate rectangles,... then we will find the area of the three seperate shapes and add the areas together,... (english scholler voice): "Quite simple really"
For "simplicitys sake" lets view the shape as a house blueprint, no house I would want to live in, but a house non-the-less,... you have the main part of the house (the largest rectangle, the 13yd x 24yd one) the hallway in the middle (the 14yd x 6yd rectangle) and finally the really ridiculous sized I-du-know,... kitchen (the 5yd x 17yd one) Sooo,... lets go,...!
First of all if you didn't follow how I got the three rectangles then it's "quite simple really!" all I did is: take the oppposite side of the very far left side (the one that says 24yd) where is says 7yd and 11yd and because we know that the 7yd + 11yd + the-part-that-we-don't-know-how-long-is, is all = to 24yd then we know that the part that is not labled (the "doorway" from the main part of the house to the hallway) has to be 6yd because 7yd + 11yd + 6yd = 24yd,... AND know we know that that side of the "hallway" is 6yd, so the "hallway" is 6yd x 14yd,... So,...
13yd x 24yd = YES!... 312yd
14yd x 6yd = RIGHT again!... 84yd
5yd x 17yd = YOU are SO LIT,... yes it's 85yd
Alright so we have 312yd and 84yd and 85yd,... all we have to do is add 'em all up and you will have the area of your houseprint,... You got it!
312yd + 84yd + 85yd = (drum roll please,...) 481yd,...
The area of you shape is 481yd,...
So glad to have worked with ye and me thinks that that hopefully helped,...
CHOW,...!
THE RIGHT ANSWER GETS 30 POINTS AND BRAINLIEST ❗️❗️❗️❗️❗️❗️❗️❗️❗️‼️‼️‼️
Considering the dot plot and visual inspection, it is likely that group B has a lower mean. The reason for this is because it has a higher proportion of it's measures to the left of the dot plot than group A.
How to calculate the mean of a data-set?The mean of a data-set is given by the sum of all observations in the data-set divided by the cardinality of the data-set, which represents the number of observations in the data-set.
The dot plot shows the number of instances that each observation appeared in the data-set, hence we use it to identify the position of the measures.
Group B has more dots at the left of the graph, meaning that the smaller measures are more common than in group A, and thus it more than likely has a lower mean.
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Karl wants to find the width RQ of a river. He starts at point R, and walks perpendicular along the edge of the river 42 ft and marks point S. He then walks 28 ft further and marks point T. He turns 90° and walks until his location (point U), point S, and point Q are collinear. Suppose TU = 68 ft. What is the width of the river in feet?
Answer: We may utilize the characteristics of related triangles to determine the breadth of the river.
Step-by-step explanation:
Let's write "x" for the river's breadth.
Triangle RQS has RS = 42 feet.
ST = 28 ft
SQ = RS + ST = 42 + 28 feet equals 70 feet.
Triangle TSU has TU = 68 feet.
Triangles RQS and TSU can be compared to one another since points U, S, and Q are collinear.
The following ratio can be established using the comparable triangles property:
RQ / TS equals RS / TU.
By replacing the specified numbers, we get (x / 70 ft) = (42 ft / 68 ft).
Now, we may multiply by x to find the answer:
x = (42 ft * 70 ft) / 68 ft, rounded to the nearest two decimal places, equals 43.23529411764706 ft.
As a result, the river is roughly 43.24 feet wide.
how do i solve -3x + 2y = -4
Answer:
y= 3/2 x -2
Step-by-step explanation:
I guess you want to find the y=mx+b form
So you do +3x on both sides which will gave you: 2y= 3x-4
Then, you will divide by two on both sides to find the y value: 2y/2 = (3x-4)/ 2
So 3/2 is the fraction like the answer above and -4/2 = -2
Hope that helps :)
Please help me out if appreciate it :)
Answer:
51
Step-by-step explanation:
they are congruent so they are equal to eachotjer
Order these lengths in order from least to greatest.
0.65 m
0.6 m
0.52 m
0.55 m
0.545 m
Answer:0.52, 0.545, 0.55, 0.6, 0.65
Source:trust me bro
Answer:
O.52 m, 0.545 m, 0.55 m, 0.6 m, 0.65m. :)
Step-by-step explanation:
Which relation is a function?
Answer:
the function is the solution is done using the operation
answer correctly and ill give BL
Answer:
the ratio is 1/2
Step-by-step explanation:
because each number is times 2
Answer:
0.5 or 1/2
Step-by-step explanation:
plz mark as brainliest
since every inch, is 2 gallons
If p and q vary inversely and p is 29 when q is 25, determine q when p is equal to 5.
Answer:If p and q vary inversely, it means that their product remains constant. So we can set up the equation:
p * q = k
where k is the constant of variation.
Given that p is 29 when q is 25, we can substitute these values into the equation:
29 * 25 = k
725 = k
Now, let's determine the value of q when p is equal to 5:
p * q = k
5 * q = 725
Dividing both sides of the equation by 5:
q = 725 / 5
q = 145
Therefore, when p is equal to 5, q is equal to 145.
Step-by-step explanation:
Answer:p1q1=p2q2
q1=25,p1=29;
p2=5,q2=?;
q2=p1q1/p2;
q2=25*29/5;
q2=29*5;
q2=145.
Step-by-step explanation:
Enter an equation for the line of symmetry for the function f (x) = 5x^2 – 20x + 3.
Answer:
x = 2.
Step-by-step explanation:
First convert to vertex form:
f(x) = 5x^2 - 20x + 3
= 5(x^2 - 4x) + 3
= 5 [(x - 2)^2 - 4] + 3
= 5(x - 2)^2 -20 + 3
= 5(x - 2)^2 - 17.
The line of symmetry is x = 2.
discuss four ways to keep the nervous system healthy
Exercise regularly.
Do not smoke or use tobacco products.
Get plenty of rest.
Eat a balanced diet.
PLEASE HELP
5 years ago, my grandma was 5 times as old as me. 3 years from now, my grandma will be 3 times as old as me. how old am i now?
Answer:
you would be 2 years older so you would be 7
Step-by-step explanation:
5 - 3 = 2
5 + 2 = 7
Derek, Margaret, and Lenny are playing a game of cards. There are 52 cards total. At the beginning of the game, each player gets a starting hand of 7 cards. The order in which a particular player receives his or her cards is unimportant, but it matters who gets which cards. How many different ways can we make starting hands for all three players
There are over 6 quadrillion ways to make starting hands for Derek, Margaret, and Lenny!
We can start by finding the number of ways to choose 7 cards out of the 52 for Derek, then the number of ways to choose 7 cards out of the remaining 45 for Margaret, and then the remaining cards (which will form Lenny's hand).
The number of ways to choose 7 cards out of 52 is:
C(52,7) = 133,784,560
Once Derek has his 7 cards, there are 45 cards remaining, so the number of ways to choose 7 cards for Margaret is:
C(45,7) = 45,379,620
Finally, Lenny gets the remaining cards, so there is only one way to choose his hand.
Therefore, the total number of ways to make starting hands for all three players is:
133,784,560 x 45,379,620 x 1 = 6,081,679,822,404,800
So there are over 6 quadrillion ways to make starting hands for Derek, Margaret, and Lenny!
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Round 458.87 to the nearest tenths. *
a) 459.0
b) 458.9
c) 459
d) 560
Answer:
b) 458.9
Step-by-step explanation:
the tenths digit is the 8 right of the decimal so if you were to round, it would be 458.9 because 7 is closer to 10 than zero.
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Describe when it is appropriate to use (A) one-way or single factor chi-square test, and (B) two-way or two-factor chi-square test. Generally speaking, what scale of measurement are the data analyzed by the chi-square test?
The single factor and double factor is used in single and double variable data. The scale is nominal or ordinal.
A. To assess the relationship between a pair of categorical variables within an individual group or condition, single factor chi square test can be applicable to figure out if the variable is significantly related.
B. On the other hand, two factor chi square tests enables us to assess the association between two variables groups considering each variable having distinct degrees or levels. Thus, it aids in determining the substantial correlation between the variables and if there are variation in the association throughout the each degree of variables. Also, it helps us to understand how two factors interact and have influence on each other. The chi-square test is suited for nominal or ordinal scale data.
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X is a Gaussian random variable with:
E[X]=60andP[|X?60|?5]=0.382.
What is the standard deviation? ?=
The standard deviation of a Gaussian random variable X with mean E[X] = 60 and P[|X - 60| ≤ 5] = 0.382 is 8.32.
The standard deviation of a Gaussian random variable X can be found by using the formula for the probability density function (PDF) of a normal distribution:
P[X = x] = (1/σ√2π) * e^(-(x-μ)^2 / (2σ^2))
Where μ is the mean, σ is the standard deviation, and e is the base of the natural logarithm.
Given that E[X] = 60 and P[|X - 60| ≤ 5] = 0.382, we can plug in these values into the formula and solve for σ:
0.382 = (1/σ√2π) * e^(-(5)^2 / (2σ^2))
Simplifying and rearranging terms, we get:
0.382σ√2π = e^(-(25) / (2σ^2))
Taking the natural logarithm of both sides, we get:
ln(0.382σ√2π) = -(25) / (2σ^2)
Rearranging and solving for σ^2, we get:
σ^2 = (25) / (2 * ln(0.382σ√2π))
Taking the square root of both sides, we get:
σ = √((25) / (2 * ln(0.382σ√2π)))
Using a calculator, we can approximate the value of σ to be approximately 8.32.
Therefore, the standard deviation of the Gaussian random variable X is approximately 8.32.
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write (-3,7), (2,4) in standard form
Answer:
y - 4 = -3/5(x - 2)
or
y - 7 = -3/5(x - (-3))
Step-by-step explanation:
In this question, we have to write an equation in standard form with the given information.
Standard form: y - y1 = m(x - x1)
First, find the slope using m = y2-y1/x2-x1:
Plug in coordinates and solve:
4 - 7/2 -(-3)
-3/2+3
m = -3/5
Now we know what our "m" value is on the equation.
You can simply use one of the coordinates and plug the values into the equation to get it in standard form. In this case, we will use the (2, 4) coordinate.
y - 4 = -3/5(x - 2) <- This is one applicable answer.
Your other answer could be y - 7 = -3/5(x - (-3))
Discuss why even though there are a limited number elements, there
is an infinite number of types of matter (2-3 sentences). Make sure
to discuss matter composition and/or geometry.
The main answer is that the infinite number of types of matter arises from the unique combinations of elements and their arrangements in terms of composition and geometry.
While the number of elements is limited, their combinations and arrangements allow for an infinite number of types of matter. Elements can combine in different ratios and configurations, forming various compounds and structures with distinct properties.
Additionally, the arrangement of atoms within a molecule or the spatial arrangement of molecules within a material can create different types of matter. These factors, along with the possibility of isotopes and different states of matter, contribute to the vast diversity and infinite types of matter despite the limited number of elements.
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in a hypothesis testing that you are conducting, you determine the confidence level needed is 99%. for you to reject the null hypothesis, the p-value needs to be:
The answer to the given question is <0.01.
What is confidence level?
The confidence level is the percentage of times we expect to get near to the same approximate if we run our experiment again or resample the population in the same way. The confidence level is the probability that the null hypothesis is true.
What is p-value?
P-value is the probability of getting the results you did, given that the null hypothesis is true.
When we are conducting a hypothesis testing and we determine the confidence level needed is 99%; then in order to reject the null hypothesis, the p-value needs to be below 0.01 (<0.01).
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Joelle Would like to tip your hairdresser 20% if your haircut cost $38 which expression should you use to find the tip amount
find a power series representation for the function. (give your power series representation centered at x = 0.) f(x) = x 3x2 1
The power series representation for f(x) = x/(3x^2 + 1) centered at x = 0 is: f(x) = x + x^2 + x^3 + ...
How do we calculate?We will apply the concept of Maclaurin series expansion.
We find derivatives of f(x):
f'(x) = (1*(3x² + 1) - x*(6x))/(3x² + 1)²
= (3x² + 1 - 6x²)/(3x² + 1)²
= (-3x² + 1)/(3x² + 1)²
f''(x) = ((-3x² + 1)*2(3x² + 1)² - (-3x² + 1)*2(6x)(3x² + 1))/(3x² + 1)\(^4\)
= (2(3x² + 1)(-3x² + 1) - 2(6x)(-3x² + 1))/(3x² + 1)\(^4\)
= (-18x\(^4\) + 8x² + 2)/(3x² + 1)³
The coefficients of the power series are:
f(0) = 0
f'(0) = 1
f''(0) = 2/1³ = 2
f(x) = f(0) + f'(0)x + (f''(0)/2!)x² + ...
f(x) = 0 + x + (2/2!)x² + ...
f(x) = x + x² + ...
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