Answer:
m>6
Step-by-step explanation:
There are two traffic lights on the route used by a certain individual to go from home to work. Let E denote the event that the individual must stop at the first light, and define the event F in a similar manner for the second light. Suppose that P(E) = .4, P(F) = .2 and P(E intersect F) = .15.
(a) What is the probability that the individual must stop at at least one light; that is, what is the probability of the event P(E union F)?
The probability that the individual must stop at at least one light that is 0.45.
What is Probability?Probability is the mathematical tool or procedure of predicting how likely a given event is going to happen.
Given is that there are two traffic lights on the route used by a certain individual to go from home to work. Let {E} denote the event that the individual must stop at the first light, and define the event {F} in a similar manner for the second light. Suppose that -
P(E) = 0.4P(F) = 0.2 P(E ∩ F) = 0.15.We can write -
P{E ∪ F} = P{E} + P{F} - P{E ∩ F}
P{E ∪ F} = 0.4 + 0.2 - 0.15
P{E ∪ F} = 0.6 - 0.15
P{E ∪ F} = 0.45
Therefore, the probability that the individual must stop at at least one light that is 0.45.
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Help this will save my grade. I’m right on the edge of failing!
Answer:
Step-by-step explanation:
1. The slope is -5/2
2. There is no slope for the second one it's just y=3
3. The slope is 3
4. These are perpendicular lines
5. These lines are parallel.
6. These lines are neither perpendicular nor parallel.
7. These lines are perpendicular
8. y = 4/3x - 2
9. y = -1/2x + 5
10. x = -1
Hope this helps!
The radius of a circle is 2 millimeters. What is the circle's circumference?
Answer:
C = 12.56mm
hope it's helpful ❤❤❤❤
THANK YOU.
Answer:12.56 millimeters
Step-by-step explanation:
Boleslaw: How many yards for 8 uniforms?
One uniform equals 12 yards, so multiply 8x12 and you get 96 yards.
Which model can be used to represent the number below pls help
What is the median of the following Systolic Blood Pressure in mmHg: 121, 110, 114, 100 160, 130 130?
Answer:
121
Step-by-step explanation:
firstly you arrange the numbers in ascending order the number in the middle is considered to be the median
Mark has 64 paintings the 1st day he sells 1/4 of them then on each day after that he sells 1/2 of the paintings he started the day with how many paintings does mark have left after 4 days of selling his paintings
The number of painting that Mark has left in the fourth day is 18 paintings.
How to calculate the number of painting?Number of painting = 64
Amount sold.on first day = 1/2 × 64 = 32
Amount left = 64 - 32 = 32
Number sold in 2nd day = 1/4 × 32 = 8
Number left = 32 - 8 = 24
Number sold on 3rd day = 1/4 × 24 = 6
Number left = 24 - 6 = 18
Therefore, he has 18 painting in the fourth day
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6 -9x = 5x -10x + 2 solve for x
Ty bought a new computer for $499. This brand depreciates at a rate of 12% of the original price per year. The value y of Ty's computer, x years after he purchased it, is found using an equation in the form y = mx + b. What is the approximate value of m?
Answer:
the approximate value of m is -0.12, indicating that the value of Ty's computer decreases by 0.12 (or 12%) each year.
Step-by-step explanation:
o express this depreciation rate as a slope in the equation y = mx + b, we need to determine how much the value changes (the "rise") for each year (the "run").
Since the value decreases by 12% per year, the slope (m) would be -12%. However, we need to express the slope as a decimal, so we divide -12% by 100 to convert it to a decimal:
m = -12% / 100 = -0.12
Can someone please hope and show the work?
Answer: 16 pounds of grain.
Step-by-step explanation: 36 divided by 9 is 4, which means we have to multiply bin C by how much bin J was multiplied by, which is 4, so 4x4 is 16.
(let me know if you would like me to explain more on this)
Nolan was given a box of assorted chocolates for his birthday. Each night, Nolan treated himself to some chocolates. There were originally 30 chocolates in the box and after 8 nights, there were 6 chocolates remaining in the box. Write an equation for
C
,
C, in terms of
t
,
t, representing the number of chocolates remaining in the box
t
t days after Nolan's birthday.
The equation of remaining chocolate C in terms of t is C = 30 - 3t.
What is an equation?A mathematical statement called an equation demonstrates the balance or equality of two expressions. It contains of variables, integers, and mathematical operations and is denoted by the equal symbol (=). Equations may be solved to determine unknown values and are used to express relationships between various quantities. To solve for x in the equation 2x + 3 = 7, for instance, remove 3 from both sides, which gives 2x = 4, then divide both sides by 2, which gives x = 2.
Given that,
Initial number of chocolates in box = 30
Also given that after 8 nights, number of remaining chocolates = 6
Implies that,
In 8 nights, 24 chocolates were treated.
In 1 night, 3 chocolates were treated.
The equation of remaining chocolate C in terms of t can be written as
C = 30 - 3t.
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the square root of 50
Answer:
The square root of 50 is approximately 7.07.
Answer:
7.07106781187...
Step-by-step explanation:
its an irrational number
Which of the following rational functions is graphed below?
A. F(x) =(x-2)/(x+5)
B. F(x) =1/(x-2)(x + 5)
C. F(x) =1/(2x + 5)
D. F(x)= 1/(x+2)(x-5)
The graph of the rational equation is solved and f ( x ) = 1/ ( x + 2 ) ( x - 5 )
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = 1/ ( x + 2 ) ( x - 5 )
The function will have increasingly large values as the denominator approaches zero. When x -2, the denominator is positive and the function tends to the upside. When x -2 x 5, the function is negative. When x 5, the function becomes positive once more.
Hence , the rational function is f ( x ) = 1/ ( x + 2 ) ( x - 5 )
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The complete question is attached below :
Which of the following rational functions is graphed below?
A. F(x) =(x-2)/(x+5)
B. F(x) =1/(x-2)(x + 5)
C. F(x) =1/(2x + 5)
D. F(x)= 1/(x+2)(x-5)
Find the second differences
The second difference of the given number table is: Option A: -2
How to find the second differences?The second difference method can be used to determine a quadratic model. In order for us to calculate the second difference, we will select 3 consecutive y-values, and then subtract the first y-value from the second and the second y-value form the third. Then we will find the difference of these two resulting values. That difference is what we refer to as the second difference.
Thus, Applying the second difference concept to our problem, we have:
First difference:
-4 - (-9) = 5
-1 - (-4) = 3
Thus, second difference is:
3 - 5 = -2
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Développer et réduire (3 − 2)² + (7 + 5)(3 − 2)
\((3-2)^2+(7+5)(3-2)=(3-2)(3-2)+(7+5)(3-2)=(3-2)(3-2+7+5)=1*13=13\)
7 3/4 write as a decimal
Answer:
7.75
mark me brainlest
Step-by-step explanation:
Answer:
7.75
Step-by-step explanation:
3/4 = 0.75
think about it as how many quarters make a dollar, 4, so 3 quarters makes 75 cents (only works with fractions with a denominator of 4).
Robert's book bag is weighing him down. His bag alone weighs 4 pounds. His library book
weighs 2 pounds. The math book is 4 times the weight of the library book, and his science
book is 2 times the weight of the math book. How much does his book bag weigh with all
these books? What is the heaviest book in his book bag?
Answer:
1) 30 pounds is the weight of the bag all together
2) science book is the heaviest book
Step-by-step explanation:
bag=4 pounds
library book=2 pounds
maths book=2×4=8 pounds
science book=8×2=16 pounds
4+2+8+16=30 pounds all together
heaviest book= science book (16 pounds)
For what value of x is the rational expression below undefined?
x-3
3+x
A. 3
OB. -1
O C. 0
OD. -3
The value of x that makes the rational expression undefined is x = -3.
The rational expression is undefined when the denominator is equal to zero, because division by zero is undefined.
In the given rational expression (x - 3) / (3 + x), we need to find the value of x that makes the denominator (3 + x) equal to zero.
To find this value, we set the denominator equal to zero and solve for x:
3 + x = 0
Subtracting 3 from both sides:
x = -3
Therefore, the value of x that makes the rational expression undefined is x = -3.
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Joanna's vegetable garden covers an area of 16 of a square mile. If the garden is 14 mile wide, how long does the garden stretch?
112 mile
1 over 12 mile
512 mile
5 over 12 mile
23 mile
2 thirds mile
34 mile
The length of the rectangular garden given the area and width is 8/7 miles
Area of rectangleA rectangle is a form of quadrilateral having opposing sides parallel and four right angles. The area of a rectangle can be calculated by multiplying the length by width.
Width of the rectangular garden = 14 mileLength of the rectangular garden = x mileArea of the garden = 16 square milesArea of a rectangular garden = length × width
16 = x × 14
16 = 14x
divide both sides by 14x = 16 / 14
x = 8/7 miles
Therefore, the length of the rectangular garden given the area and width is 8/7 miles.
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Mike is driving a boat at 12 mph and is increasing his speed by 0.2 mph each second. Hank is driving a boat at 26.4 mph and is decreasing his speed by 0.7 mph each second. After how many seconds will the boats be traveling the same speed?
Answer: After 16 seconds the boats will be traveling the same speed.
Step-by-step explanation:
Given: Mike is driving a boat at 12 mph and is increasing his speed by 0.2 mph each second.
Mike's spewed after x seconds = 12 + 0.2x
Hank is driving a boat at 26.4 mph and is decreasing his speed by 0.7 mph each second.
Hank's speed after x seconds = 26.4 -0.7 x
As per given,
12 + 0.2x = 26.4 -0.7 x
Subtract 12 from both sides
0.2x= 26.4-12-0.7x
⇒ 0.2x= 14.4-0.7x
Add 0.7xn on both sides , we get
0.2x+0.7x= 14.4
⇒ 0.9x = 14.4
Multiply 10 on both sides, we get
9x=144
Divide both sides by 9 , we get x= 16
Hence, after 16 seconds the boats will be traveling the same speed.
PLEASE HELP There are 30 people waiting outside in line to enter the auditorium. There are 8 times as many people already inside the auditorium. How many people are inside the auditorium?
Answer: There are 240 people inside the auditorium.
Step-by-step explanation:
30 x 8 = 240
In one region, the September energy consumption levels for single-family homes are found to be normally distributed with a mean of 1050 kWh and a standard deviation of 218 kWh. Find P45, which is the consumption level separating the bottom 45% from the top 55%.
1021.7
1148.1
1087.8
1078.3
Answer:
1021.7
Step-by-step explanation:
lol i guess im sry if im wrong
if i right can i have brainliest?
Answer:1021.7
Step-by-step explanation:
Why do we choose 5% as a risk of making error and not 1%
In statistics, the risk of making an error is referred to as a significance level. A significance level represents the probability of making a Type I error, which occurs when a null hypothesis is rejected even though it is true.
The most common significance level used in statistical analyses is 0.05 or 5%. This means that there is a 5% chance of rejecting a true null hypothesis.
In general, the choice of significance level depends on the specific application and context of the statistical analysis.
The 5% significance level is commonly used in scientific research, particularly in the fields of medicine and psychology.
The choice of this level is based on a balance between the risk of making a Type I error and the risk of making a Type II error, which occurs when a null hypothesis is not rejected even though it is false.
A Type II error is often more serious than a Type I error since it may lead to incorrect conclusions about the relationship between variables or the effectiveness of a treatment or intervention.
A 5% significance level provides a reasonable balance between these two types of errors. However, in some situations, a higher or lower significance level may be more appropriate.
For example, in a clinical trial where the consequences of a Type II error are severe, a lower significance level may be used to reduce the risk of this type of error.
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HELP PLEASE AS SOON AS POSSIBLE WILL GIVE U BRAINLIST
Answer:
The table represents a nonlinear function because the rate is not constant.
Step-by-step explanation:
As shown in the picture below, the x side of the table has the same rate of change of +1. However, due to the fact that the y side does not have the same rate of change, +6 and +3, the table represents a non linear function. If the rate on the y side of the table were all the same, then this would be a Linear function.
Prove that if n is an odd integer, then n^2 + 1 is an even integer.
n^2 will still give you an odd integer, but if you add one it will be an even integer
The two-way table represents data from a survey asking schoolchildren whether they are attending a summer camp, taking swimming lessons, or both.
A 4-column table with 3 rows. The first column has no label with entries swimming lessons, no swimming lessons, total. The second column is labeled camp with entries 42, 18, 60. The third column is labeled no camp with entries 32, 4, 36. The fourth column is labeled total with entries 74, 22, 96.
Which is the joint relative frequency for school children who plan to attend camp and have swimming lessons? Round the answer to the nearest percent.
4%
19%
33%
44%
The joint relative frequency for school children who plan to attend camp and have swimming lesson is 44%.
The correct option to the given question is option d.
We are required to find the joint relative frequency for school children who plan to attend camp and have swimming lessons, rounded to the nearest percent.
To find the joint relative frequency, we use the formula as follows:
Joint relative frequency = frequency of interest / total frequency
Joint relative frequency for school children who plan to attend camp and have swimming lessons = 42 / 96
(As we are looking for the students who plan to attend camp and have swimming lessons, we are interested in the first column of the table and the entry at the intersection of the first row and second column.)
Joint relative frequency for school children who plan to attend camp and have swimming lessons = 0.4375
Joint relative frequency for school children who plan to attend camp and have swimming lessons (rounded to the nearest percent) = 44%(option d).
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A student formed a pattern in which each term is represented by a sum. The first four terms of the pattern are shown below Which expression can be used to determine the value of the sum in any term, n
Answer:
n2
Step-by-step explanation:i did this last year
Ibrahim heeft een bijbaantje op de markt. Hij berekent zijn inkomsten met de formule
inkomsten in €=5+3,50 x tijd in uren. Leg de formule uit.
Answer:
Ibrahim gets 5 fixed and 3.5 per hour.
Step-by-step explanation:
Ibrahim has a side job at the market. He calculates his income with the formula income in € = 5 + 3.50 x, time in hours. Explain the formula.
Here, the fixed income is 5.
the income per hour is 3.5.
So, Ibrahim gets 5 fixed and 3.5 per hour.
HELP “Translate the following statement in algebraic expressions.”
Answer:
Step-by-step explanation:
It is translated exactly as you would read it. 4*y - 7
Find the maturity value and the compound interest if $3,600 is invested at 6% compounded semi-
annually for 5 years and 7 months. Round your final answers to 2 decimal places
Answer:Answer Expert Verified. The Answer is that the present value of $100 is $100. Because this $100 dollar is deposited today so the time is equal to zero and when time is zero the value of amount is the value of amount itself.
Step-by-step explanation: