Answer: 12
Step-by-step explanation:
Fatima conducts emissions inspections on cars. She finds that 6\%6%6, percent of the cars fail the inspection. Let ccc be the number of cars fatima inspects until a car fails an inspection. Assume that the results of each inspection are independent.
The probability that the first failed inspection occurs on Fatima's 5th inspection i.e P(c = 5) is 0.05..
Geometric probability distribution:In probability and statistics,the geometric distribution defines the probability of the first success occurring after k trials. The probability of success is p
P r ( X = k ) = ( 1 − p )⁽ᵏ⁻¹⁾ p.
We have given that,
An emissions inspections on cars is conducted by Fatima.
Probability that car fail the inspection, p = 6% = 0.06
let c denoted the number of cars that are inspected until one car fail to inspection.
The random variable c here. Here c follow geometric probability distribution with probability of success (0.06).
Plugging all known values in above formula we get, p(c= 5) = (1-0.06)⁴ × 0.06
= (0.94)⁴ (0.06)
=0.0468449376~ 0.05
so, the answer is 0.05
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Complete question:
Fatima conducts emissions inspections on cars. She finds that 6%, percent of the cars fail the inspection. Let C be the number of cars Fatima inspects until a car fails an inspection. Assume that the results of each inspection are independent.
Required:
Find the probability that the first failed inspection occurs on Fatima's 5th inspection
Pls hurry on a test
Answer:
B
Step-by-step explanation:
Meet at the middle of the two lines
Answer:
pretty sure it's c
Step-by-step explanation:
when we learned that, we're always supposed to start with x which in this occasion is 4 and y is 2
Please help me. It's due at the end of the day.
The height of the lamppost is 110 in (optionC)
What is trigonometric ratio?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.
To find the height;
Tan 70 = h/ 40
h = tan70 × 40
h = 2.75 × 40
h = 110 in
therefore the height of the lamppost is 110 in
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HELP ASAP! Thank you!
Let's see what information we get from this picture:
First information
⇒ triangle is an isosceles triangle
⇒ meaning that the 'unlabeled angle' adjacent to 'angle of measure x'
⇒ are equal
Second information:
⇒sum of all the angle's measure of a triangle is 180 degrees
⇒ \(x + x +70 = 180\)
Let's solve:
\(x+ x + 70 = 180\\2x + 70=180\\2x=110\\x=55\)
Answer: 55
Hope that helps!
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how many solutions are there to the given equation if xi > 1 for i = 1, 2, 3, 4, 5, 6?
The given equation is not given, so it is impossible to determine the number of solutions without an equation. However, we can say that if xi > 1 for i = 1, 2, 3, 4, 5, 6, then there is a restricted domain of xi (greater than 1).
If we are given an equation with this restricted domain, then we can determine the number of solutions. A solution may be a number, a set of numbers, or no solution, depending on the equation.
In general, the number of solutions to an equation depends on the equation itself, as well as the domain and range of the variables. Therefore, the answer to this question cannot be determined without more information.
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help if you can please
Answer:
a. iii
b. ii
c. i
d. v.
e. iv
Step by Step:
Does anyone know the answer to these?
What is the midpoint of the segment that joins the complex numbers 7 + 3i and -5 – 8i?
A) 16+11/2i
B) (1,5/2)
C) 1- 5/2i
D) (-6, 11/2)
Answer:
C)
Step-by-step explanation:
The midpoint is the average of the two points.
Thus,
Midpoint = [ ( 7 + 3i) + (-5 - 8i) ] / 2 = ( (7-5) + i(3-8) ) / 2 = (2 - 5i)/2 = 1 - 2.5i
1.Solve the following problems.
Wooden rod
Azeyah wants to buy a wooden rod to install curtains on the window of his room. The area of the window is (4x² + 2x - 12) cm². If the window's height is (2x + 4) cm, what is the length, in cm, of the wooden rod required?
The length of the wooden rod required is (2x - 4) cm. The length of the wooden rod required will be the same as the width of the window since the rod should span the entire width.
We need to use the formula for the area of a rectangle, which is length times width. In this case, the width is the height of the window, which is (2x + 4) cm. To find the length, we need to divide the area by the width: Length = Area / Width
Length = (4x² + 2x - 12) cm² / (2x + 4) cm
To simplify this expression, we can factor the numerator:
Length = [(2x - 2)(2x + 3)] cm² / (2x + 4) cm
Now we can cancel out the (2x + 4) in the numerator and denominator:
Length = (2x - 2)(2x + 3) / 1 cm
Length = 2x² - x - 6 cm
Therefore, the length of the wooden rod required is 2x² - x - 6 cm.
To find the length of the wooden rod required, we first need to determine the width of the window. Since the area of the window is given by the expression (4x² + 2x - 12) cm² and its height is (2x + 4) cm, we can find the width by dividing the area by the height.
(4x² + 2x - 12) cm² / (2x + 4) cm = width
We can factor the numerator to simplify the expression:
(2x - 4)(2x + 3) cm² / (2x + 4) cm = width
Now, we can cancel out the common factor (2x + 4) from the numerator and denominator:
(2x - 4) cm = width
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in a 2 x 3 between subjects anova, how many total groups are there?
In a 2 x 3 between subjects ANOVA, there are a total of 6 groups. The first factor, with 2 levels, divides the participants into two distinct groups. The second factor, with 3 levels, further divides each of the two groups into three subgroups. This results in a total of 6 groups.
In this design, each group consists of a unique combination of the two factors, ensuring that each participant is assigned to only one group.
The purpose of conducting a between-subjects ANOVA is to examine the main effects of each factor, as well as any possible interactions between them, on a dependent variable.To illustrate, let's say we are conducting a study on the effects of a new medication on anxiety levels. The first factor may be gender, with two levels: male and female. The second factor may be dosage, with three levels: low, medium, and high. This results in six groups: male/low dosage, male/medium dosage, male/high dosage, female/low dosage, female/medium dosage, and female/high dosage. It's important to note that each group should have a sufficient number of participants to ensure statistical power and reliability of the results. Additionally, the number of groups can impact the complexity of the statistical analysis and interpretation of the findings.Know more about the ANOVA,
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What is the value of each expression?
7/8 + 4/8 :
17/25 - 9/25 :
63/46 - 81/46 :
Answer: 7/8 + 4/8 = Exact form- 11/8
Decimal form- 1.375
17/25 - 9/25 = Exact form- 8/25
Decimal form- 0.32
63/46 - 81/46 = Exact form- -9/23
Step-by-step explanation: Hope this helped.
w/2 - 12 = -8
What is w ?
Oof explain this to me I'm confused
Answer:
w = 8
Step-by-step explanation:
w/2 - 12 = -8
Add 12 to each side
w/2 - 12+12 = -8+12
w/2 = 4
Multiply each side by 2
w/2*2 = 4*2
w = 8
Mini-golf course A has an entrance fee of $8.20, and then a charge of $2.00 per game, Mini-
golf course B has an entrance fee of $4,80, and then a charge of $3.00 per game. Write an
equation to determine x, the number of games needed to be played for both courses to
cost the same
Answer:
OWO
Step-by-step explanation:
ADD Divide
For the following in functions of the quantity of t minutes
Part A
Given
\(Q(t)=400(2)^{\frac{t}{4}}\)Solution
We ask to double the time i.e
\(\begin{gathered} 800=400(2)^{\frac{t}{4}} \\ \text{Divide both sides by 400} \\ \frac{800}{400}=\frac{400}{400}(2)^{\frac{t}{4}} \\ \\ 2^1=(2)^{\frac{t}{4}} \\ \\ 1=\frac{t}{4} \\ \\ \text{cross multiply} \\ t=1\times4 \\ t=4 \end{gathered}\)Part B
Given
\(y=10(\frac{1}{2})^{\frac{t}{12}}\)Solution
The half-life would be 5
\(\begin{gathered} y=10(\frac{1}{2})^{\frac{t}{12}} \\ 5=10(\frac{1}{2})^{\frac{t}{12}} \\ \text{divide both sides by 10} \\ \\ \frac{5}{10}=\frac{10}{10}(\frac{1}{2})^{\frac{t}{12}} \\ \\ \frac{1}{2}=(\frac{1}{2})^{\frac{t}{12}} \\ \\ 1=\frac{T}{12} \\ \text{cross multiply} \\ T=1\times12 \\ T=12 \end{gathered}\)i need help with some grade 10 math it's on slope I have attached a photo
Answer:
a) (1,1)
b) 2/3
I think this is correct
Answer:
Co-ordinates of point M are ( 1, 1)
Slope of median EM = -2/3
A survey conducted in 2005 found that the State of Louisiana was the happiest State in the United States. The survey was completed before Hurricane Katrina destroyed most of New Orleans and the surrounding area. The information quality for this survey is probably not:
The information quality of the survey is not reliable for understanding the current happiness level in the state.
The information quality for this survey is likely outdated and not
representative of the current state of Louisiana, particularly after the
devastating impact of Hurricane Katrina in 2005.
The survey was conducted before the hurricane, which significantly
affected the region, including the mental health and well-being of its
residents.
Thus, the survey's results may not accurately reflect the current level of
happiness or satisfaction among Louisiana residents.
Therefore, the information quality of the survey is not reliable for
understanding the current happiness level in the state.
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The sum of two rational numbers is 9 and one of them is − 3, then the other is_.( ) 10
Answer:
12
Step-by-step explanation:
let the rational number be x
x+(-3) = 9
x = 9+3 = 12
Answer:
12
Step-by-step explanation:
x + y = 9
x = -3
=>
-3 + y = 9
y = 12
29 students made the honor roll on their first quarter report card this quarter there were 40 students who achieved at the server determine the percent of change and whether it is an increase or decrease
Solve x2 12x = –11 by completing the square. which is the solution set of the equation?
The solution set of the equation will be x = - 1, or x = - 11.
What is a quadratic equation?A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
To solve the equation x² + 12 x = -11, you can calculate this using the following steps:
x² + 12 x = -11
x² + 12 x + 11 = 0
(x + 1) (x + 11) = 0
1. x = - 1
2. x = - 11
Therefore, solution set of the equation will be x = - 1, or x = - 11.
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A person places $72000 in an investment account earning an annual rate of 5.1%, compounded continuously. Using the formula V = P e r t V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 16 years
The amount of money in account after 16 years will be $162,823.39. The solution has been obtained by using compound interest.
What is compound interest?
Compound interest considers the principal when determining the interest for the subsequent month, in contrast to simple interest, which does not. In algebra, compound interest is typically denoted by the letter C.I.
We are given the following information:
P = $72000
Rate (r) = 5.1% = 0.051
Time (t) = 16 years
Using the formula, we get
⇒V = P\(e^{rt}\)
⇒V = (72000) e⁰°⁰⁵¹ˣ¹⁶
⇒V = (72000) e⁰°⁸¹⁶
⇒V = $162,823.39
Hence, the amount of money in account after 16 years will be $162,823.39.
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Find the value of x.
44.8
37.5
17.5
22.0
Answer:
x = 17.5
Step-by-step explanation:
\( \frac{16}{10} = \frac{28}{x} \) (angle bisector theorem)
Cross multiply
16 × x = 28 × 10
16x = 280
Divide both sides by 16
x = 280/16
x = 17.5
Anais bought 2% yards of ribbon. She had 1 feet 6 inches of ribbon left after trimming some curtains. How many
inches of ribbon did Anais use to trim the curtains?
Answer:
18 inches of ribbon
Step-by-step explanation:
that is the procedure above
Question is in the pic I really suck at this stuff can I get some help plssssss
Answer:
see below
Step-by-step explanation:
The hypotheses is the if part of the statement ( after the if)
hypotheses: it is January
The conclusion is the then part of the statement ( after the then)
conclusion there is snow
Last school year the enrollment of Genoa Middle School was 465 students. This year the enrollment is 525
In a case whereby Last school year the enrollment of Genoa Middle School was 465 students and this year the enrollment is 525, then The amount of change is 60 and the percent of change is 13%, increase.
How can the percentage of change and percentage of increase be calculated?The percentage of change and percentage of increase be calculated below as:
The amount of change can be calculated as ( 525-465)=60
Then the percentage of increase will be calculated as (60/465) =0.13= 13%.
Therefore, In a case whereby Last school year the enrollment of Genoa Middle School was 465 students and this year the enrollment is 525, then The amount of change is 60 and the percent of change is 13%, increase.
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Simplify the following expression:
48⋅47
Answer:
1,073,741,824
Step-by-step explanation:
4*4*4*4*4*4*4*4*4*4*4*4*4*4*4= 1,073,741,824
the answers are “2/1” ”4/2” “2/4 2/4” “1/2”
I probably think it is 4/2
i need help with this please (91 points and ill give the first person to answer the crown)
Answer:
The ratio in simplest form is 8:1
Step-by-step explanation:
Ratio of chairs to tables
chairs: tables
160:20
Divide each side by 20.
160/20 : 20/20
8:1
The ratio in simplest form is 8:1
Answer:
D. 8 to 1
Step-by-step explanation:
To find the ratio of chairs to tables, we can divide the number of chairs by the number of tables:
Ratio of chairs to tables = Number of chairs / Number of tables
Ratio of chairs to tables = 160 / 20
Ratio of chairs to tables = 8
Therefore, the ratio of chairs to tables in the cafeteria is 8 to 1, which is option D.
At the gym, Saanvi swims every 6 days and runs every 4 days. If she did both activities today, in how many days will she do both activities again on the same day?
The answer is 48 days
simplify that expression pls
Simplify the expression : 8-(x-4)-2x+3(5-x) ?
Answer:
-6x+27
Step-by-step explanation:
thanks + brainliest = explanation
if needed, of course :)