Answer:
the answer is b
Step-by-step explanation:
The relationship between the mean and variance of the exponential distribution is (c) variance is the square of the mean.
What is exponential distributionIn probability theory and statistics, the exponential distribution or negative exponential distribution is the probability distribution of the time between events in a Poisson point process, i.e., a process in which events occur continuously and independently at a constant average rate.
The exponential distribution is widely used in various fields such as
queuing theoryreliability analysissurvival analysisFor example, it can be used to model the time between machine failures or the time between arrivals of customers at a service facility.
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Point: (3, 4)
Slope: -1
In standard form
Answer:
x+y-7=0
Step-by-step explanation:
y=-(x-3)+4
y=-x+3+4
y=-x+7
x+y-7=0
25. Write a linear equation for each of the following scenarios. Then, solve for the variable
you created.
a. Kayla has a certain amount of money. If she spends $12.00, then she has of the
original amount left. What was the original amount of money Kayla has?
Equation:
Answer:
The linear equation for the scenario is y = x - 12
Writing the linear equation for each of the scenarioFrom the question, we have the following parameters that can be used in our computation:
Kayla has a certain amount of money. She spends $12.00, then she has of the original amount leftRepresent the original amount with x
and the amount left with y
So, we have
Amout left = x - 12
Using the variable representtaion, we have
y = x - 12
Hence. the scenario is y = x - 12
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-5|x-8|+2=2 pls help me pls
Answer:
x = 8
Step-by-step explanation:
[tex]5|x-8|+2=2 \\ −5∣x−8∣=0 \\ ∣x−8∣=0 \\ x = 8[/tex]
First, you need to cancel out the 2 by subtracting 2 from both sides. Then, we divide both sides by -5. And finally, we remove the absolute value.
9.
At a student conference 12 students were asked to form different committees with the following conditions:
Each committee contains exactly 3 students
Each student must belong to exactly 2 committees
No two committees can have more than one student in common
(for example, student A and student B cannot be together on two different committees).
●
What is the least number of committees that need to be formed to meet all of the conditions? Show your work
and/or explain your thinking.
According to the information, the least number of committees that need to be formed to meet all of the conditions is 8.
How to calculate the least number of committees that need to be formed to meet all of the conditions?To minimize the number of committees, we can try to use each student in as many committees as possible. Since each student must be in exactly 2 committees, and there are 12 students, we need a total of 24 "student committee slots".
Now we need to figure out how to assign the students to committees so that no two committees have more than one student in common. One way to do this is to use a "round-robin" approach:
Assign the first student to committees 1, 2, and 3.
For the next student, assign them to committees 1, 4, and 5.
For the third student, assign them to committees 2, 4, and 6.
Continue in this way, cycling through the remaining students and assigning them to three committees at a time, making sure to avoid any duplicates.
After assigning all 12 students to committees in this way, we will have a total of 8 committees. We can check that each committee contains exactly 3 students, and that no two committees have more than one student in common.
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Divide the following polynomials (x^4-x²-6)/ (x² + 8)
Answer:
Step-by-step explanation:
find the measure of TDC
The measure of angle TDC in the triangle is 32 degrees.
How to find the angle of a triangle?The tangent CD forms a right angle with the radius CT of the circle. This forms a right angle triangle.
Therefore, the sum of angles in the triangle is 180 degrees.
Hence,
∠C = 90 degrees
Therefore,
3x + 14 + 8x + 10 + 90 = 180
11x + 114 = 180
11x = 180 - 114
11x = 66
divide both sides by 11
x = 66 / 11
x = 6
Therefore,
∠TDC = 3x + 14 = 3(6) + 14 = 18 + 14 = 32 degrees.
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1 The Associative Property of Multiplication states that the way terms are grouped when multiplied does NOT change which of the following? The product The factors The order The process Skip 0/10 complete
Answer: THE PRODUCT
Step-by-step explanation:
The associative property of multiplication says that the product of three or more numbers remains the same no mater how the numbers are grouped.
example (3x5x2) is the same as ( 5x2x3) both = 30
calcula la cantidad de energia mecanica total de un automovil que se encuentra subiendo una montaña el cual tiene una masa de una tonelada se localiza a una altura de 500 m y lleva una rapidez de 50km/h
The answer to the given energy is 5096327.2 J
How to determine the value?Remember that Joule is a derived unit of energy which is equal to the energy transferred to an object when a force of one newton acts on that object in the direction of its motion through a distance of one meter
m = 1 tonelada = 1000 kg
h = 500 m
v = 50 km / hr = 13.88 m / s
9 = 10 m / s²
Ep = ?
Ec = ?
The given formula Formula
Ep = m g h = 1000 kg X 10 m / s² X 500 m = 5000000 Joule
Ec = m V² / 2 = 1000 kg X (13.88 m / s)² / 2 = 96327.2 Joule
Et = Ep + Ec = 5000000 J + 96327.2 J = 5096327.2 J
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PLEASE HURRY
Let a = apple and c = cherry.
Mathland Bakery sells apple pies for $7.00 and cherry pies for $11.00.
The total number of pies sold in one day was 36. If the amount collected for all the pies that day was $304.00, how many of each type were sold?
Answer:
23 apple pies and 13 cherry pies were sold.
Step-by-step explanation:
Let's use the variables a and c to represent the number of apple and cherry pies sold, respectively.
From the problem, we know that:
The total number of pies sold is 36: a + c = 36
The total revenue from pie sales is $304.00: 7a + 11c = 304
We now have two equations with two unknowns. We can use substitution or elimination to solve for a and c. Here's one way to use substitution:
Solve the first equation for a: a = 36 - c
Substitute a = 36 - c into the second equation: 7(36 - c) + 11c = 304
Simplify: 252 - 7c + 11c = 304
Simplify further: 4c = 52
Solve for c: c = 13
Substitute c = 13 into the first equation to solve for a: a + 13 = 36
Simplify: a = 23
Therefore, 23 apple pies and 13 cherry pies were sold.
Find the slope of a line perpendicular to the line whose equation is 6x + 5y = -30.
Fully simplify your answer.
Answer:
[tex]6x + 5y = - 30[/tex]
[tex]5y = - 6x - 30[/tex]
[tex]y = - \frac{6}{5} x - 6[/tex]
Since the slope of this line is -6/5, the slope of a perpendicular line is 5/6. The slopes of perpendicular lines are negative reciprocals.
A contractor can by two types of wood. she got 45 expensive wood and 60 cheap wood for the same total price. if the 45 expensive wood cost $3.00 more than the 60 cheap wood, then which equation below shows the correct relationship between the 2 types of wood that she purchased. Also (x =price of the 60 cheap wood)
A.45(x+3)=60x
B.45(x-3)=60x
C.60(x-3)=45x
D.60(x+3)=45x
Answer:
A. 45(x+3)=60x
Step-by-step explanation:
Use the graph to answer the question.
B
3
D
Determine the line of reflection.
Reflection across the x-axis
Reflection across the y-axis
Reflection across x = 5
Reflection across y = 6
8
C
D'
9
10
E'
11
12
B'
A'
13
The line of reflection of the graph is y = -3
Determining the line of reflection.The given graph is added as an attachment
From the graph, we can see that the shapes are symmetrical about the line y = -3
When shapes are symmetrical about a point or a line, then the point or the line is the point of reflection
This means that the line of reflection is y = -3
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Answer:
The calculated line of reflection of the graph is y = -3
Step-by-step explanation:
help please, need this asap
The angles formed by the chords and secants of the circle are;
28) m[tex]\widehat{AB}[/tex] = 60°
29) m[tex]\widehat{GH}[/tex] = 52°
30) m[tex]\widehat{DH}[/tex] = 90°
31) m∠1 = 90°
32) m∠2 = 58°
33) m∠3 = 32°
34) m∠5 = 49°
35) m∠6 = 90°
36) m∠7 = 99°
37) m∠8 = 96°
38) m∠9 = 116°
What is a chord of a circle?A chord is a segment that joins two distinct points on the circumference of a circle.
The angles formed by the arcs in the circle indicates that we get;
28) m[tex]\widehat{AB}[/tex] = 360° - 56° - 18° - 42° - 180° = 60°
29) m[tex]\widehat{GH}[/tex] = 90° - 38° = 52°
30) m[tex]\widehat{DH}[/tex] = 90°
31) m∠1 = 180°/2 = 90°
32) m∠2 = (56° + 18° + 42°)/2 = 58°
33) m∠3 = 90° - 58° = 32°
34) m∠5 = (1/2) × (38° + 18° + 42°) = 49° (Angles of intersecting chords theorem)
35) m∠6 = 90° (Supplementary angle to a right angle is 90 degrees angle is )
36) m∠7 = 180° - 32° - 49° = 99°
37) m∠8 = (1/2) × (52° + 38° + 60° + 42°) = 96°
38) m∠9 = m∠3 + (180° - m∠8) (External angles theorem and linear pair angles)
m∠9 = 32° + (180° - 96°) = 116°
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How to solve a 2 step inequality
Answer: To solve a two-step inequality, undo the addition or subtraction first, using inverse operations, and then undo the multiplication or division. The inverse operation of addition is subtraction and vice versa. Similarly, the inverse operation of multiplication is division and vice versa.
Step-by-step explanation:
Hemoglobin is a protein in red blood cells that carries oxygen from the lungs to body tissues. People
with fewer than 12 grams of hemoglobin per deciliter of blood (g/dl) are anemic. A public health official
in Jordan suspects that Jordanian children are at risk of anemia. He measures a random sample of 50
children in Jordan and finds the mean to be 11.3 g/dl with a standard deviation of 1.6 g/dl. Test this
claim at the α = 0.05 level of significance.
Work this problem using both the p-value method OR the rejection region method.
There is enough data to indicate that Jordanian children are at risk of anemia.
The null hypothesis is that the true mean hemoglobin level for Jordanian children is greater than or equal to 12 g/dl, and the alternative hypothesis is that it is less than 12 g/dl.
Using the P-value method:
The test statistic for the one-sample t-test is given by:
t = (x - μ) / (s / √n)
where x is the sample mean, μ is the population means (here, μ = 12), s is the sample standard deviation, and n is the sample size.
Substitute the given values,
t = (11.3 - 12) / (1.6 / √50) = -2.98
Using a t-distribution table with 49 degrees of freedom (df = n - 1), find that the p-value for this test is approximately 0.002.
Since the p-value is less than the significance level of α = 0.05, we reject the null hypothesis and conclude that there is sufficient evidence to support the claim that Jordanian children are at risk of anemia.
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The table below represents a linear relationship. What is the Y intercepts? X-3 4 5 6
Y-7 10 13 16
the y intercept of the linear function in the table is
-2How to find the y interceptA linear function is represented using the equation
y = mx + c
the parameters are defined as
y = out put values
m = slope
x = input variable
c = y - intercept
Solving for slope using values in the table
m = (y2 - y1) / (x2 - x1)
m = (10 - 13) / (4 - 5)
m = -3 / -1
m = 3
Using point slope formula
y - y1 = m(x - x1)
y - 13 = 3(x - 5)
y = 3x - 15 + 13
y = 3x - 2
hence the y intercept is -2
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S
Match the system of equations to the number of solutions it has.
y=5z+7
3y-15z = 18
z-2y=6
3z-6y=18
y-3z +6
--2-4
3-12-1
y-z-2
Infinite Solutions
One Solution
#Infinite Solutions #No Solutions :: One Solution
One Solution
No Solutions
Complete the ratio table please help will mark the first answer brainliest answer
The proportional relationship is complete as follows:
Input of 57 for an output of 438.Output of 584 for an input of 76.What is a proportional relationship?A proportional relationship is a type of relationship between two quantities in which they maintain a constant ratio to each other.
The equation that defines the proportional relationship is given as follows:
y = kx.
In which k is the constant of proportionality, representing the increase in the output variable y when the constant variable x is increased by one.
The constant for this problem is given as follows:
k = 146/19
k = 7.684.
Hence the equation is:
y = 7.684x.
The input for an output of 438 is given as follows:
7.684x = 438
x = 438/7.684
x = 57.
The output for an input of 76 is obtained as follows:
y = 7.684 x 76
y = 584.
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please help!! use the job salaries to caculate each question :)
The profession that would earn that amount more than a bank teller is Office Clerk.
The profession that would earn $1,151,700 in 30 years is Bookkeeper.
The profession that will earn $828,600 over a 20-year career is Truck Driver.
The profession that earns $136,200 more than a fire fighter over a period of 30 years is Electrician
How to find the careers ?The 15 year difference between bank teller and office clerk is:
= ( 30, 850 x 15 ) - ( 27, 260 x 15 )
= $ 53, 850
The earnings of a Bookkeeper in 30 years is:
= 38, 390 x 30
= $ 1, 151, 700
The earnings of a Truck driver in 20 years is :
= 41, 430 x 20
= $ 828, 600
The difference between earnings of Fire fighter and Electrician over 30 years is:
= ( 52, 570 x 30 ) - ( 48, 030 x 30 )
= $ 136, 200
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I need help with this question
The half-life of a certain element is 5 days. If you started with 948 grams of this element, how much remains after 30 days?
After 1 half-life, the amount of the element remaining is half of the original amount. After 2 half-lives, the amount remaining is half of the remaining amount after the first half-life. We can continue this pattern until we get to 30 days.
The number of half-lives in 30 days is 30/5 = 6.
So, after 1 half-life, the amount remaining is 948/2 = 474 grams.
After 2 half-lives, the amount remaining is 474/2 = 237 grams.
After 3 half-lives, the amount remaining is 237/2 = 118.5 grams.
After 4 half-lives, the amount remaining is 118.5/2 = 59.25 grams.
After 5 half-lives, the amount remaining is 59.25/2 = 29.625 grams.
After 6 half-lives, the amount remaining is 29.625/2 = 14.8125 grams.
Therefore, after 30 days, 14.8125 grams of the element remains
I need help on number 6
Find the sum of the first 6 terms of the following sequence. Round to the
nearest hundredth if necessary,
12,
4,
4
3
Sum of a finite geometric series:
Sn
-
1-r
Тhе sum оf thе first 6 tеrms оf thе given sеquеncе is аpproximаtely 14.56.
Determining the sum of the first 6 termsFirst detеrmine thе common rаtio (r) аnd thе first tеrm (а1).
Eаch tеrm is obtаined by multiрlying thе prеvious tеrm by 1/3. Тherefоre, thе common rаtio is r = 1/3.
Тhe first tеrm is а1 = 12.
Now wе cаn use thе fоrmulа fоr thе sum оf а finite geоmetric series:
Sn = а1(1 - r^n) / (1 - r)
whеrе n is thе number оf tеrms.
Plugging in thе vаlues, wе gеt:
Sn = 12(1 - (1/3)^6) / (1 - 1/3) ≈ 14.55
Rounding to thе neаrest hundredth, wе gеt:
Sn ≈ 14.55 ≈ 14.56
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solve
2|x| = 3 i need help
Answer: [tex]x_1 = -\frac{3}{2} \\x_2 = \frac{3}{2} \\\\[/tex]
X could equal either -3/2, or 3/2 because x is made into an absolute value
Answer:
[tex]x = 1 \frac{1}{2} \: \\ x = - 1 \frac{1}{2} [/tex]
Step-by-step explanation:
If we're solving for x, then we should divide both sides by 2 and then simplify.
[tex](2 |x| = 3) \div 2[/tex]
[tex] |x| = \frac{3}{2} [/tex]
This gives us the final answer of
[tex]x = ±\frac{3}{2} [/tex]
Which can be simplified into:
[tex]x = 1\frac{1}{2} , \: - 1\frac{1}{2} [/tex]
What is the equation of the line shown in this graph?
Please help
The equation of the straight line shown in the given graph is x = -2
Determining the equation of a straight line from graphFrom the question, we are to determine the equation the given straight line in the graph
To determine the equation of the line, we will use the given two points on the line
The given points are (-2, 2) and (-2, -3)
Using the formula,
(y - y₁) / (x - x₁) = (y₂ - y₁) / (x₂ - x₁)
Substitute the given points
(y - 2) / (x - (-2)) = (-3 - 2) / (-2 - (-2))
(y - 2) / (x + 2) = -5 / (-2 + 2)
(y - 2) / (x + 2) = -5 / 0
Cross multiply
0 × (y - 2) = -5 × (x + 2)
0 = -5x - 10
Add 5x to both sides
0 + 5x = -5x + 5x - 10
5x = -10
Divide both sides by 5
5x / 5 = -10/5
x = -2
Hence, the equation is x = -2
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Complete the ratio table.
Answer:
55
70
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Answer:
55 and 70
Step-by-step explanation:
5÷2=2.5
20÷8=2.5
45÷18=2.5
so
22×2.5=55
and
28×2.5=70
$6,000 dollars is invested in two different accounts earning 3% and 5% interest. at the end of one year, the two accounts earned $220 in interest. how much money was invested at 3%
The amount of money is 4000 was invested at 3%.
Let x be the amount of money invested at 3%.
Then, the amount of money invested at 5% is 6000 - x.
The interest earned on the amount invested at 3% is 0.03x.
The interest earned on the amount invested at 5% is 0.05(6000 - x) = 300 - 0.05x.
The total interest earned is given as $220.
So, we can write the equation:
0.03x + (300 - 0.05x) = 220
Simplifying and solving for x, we get:
0.03x + 300 - 0.05x = 220
-0.02x + 300 = 220
-0.02x = -80
x = 4000
Therefore, $4000 was invested at 3%.
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Please help!!!!!!!!!!!!
Answer:
48
Step-by-step explanation:
total cost will be the answer
10. A spinner and a number cube are used to play a game. The sides of the
cube are numbered 1 through 6. A player's score is the sum of the
numbers on which the spinner lands and the number rolled on the cube.
Find the probability of getting a sum greater than 25.
a.1/2
b. 13/24
C.7/12
d. 1/24
Result:
The probability of getting a sum greater than 25 = 1/9.
The answer is not among the given options.
How do we find the probability?To find the probability, we would need to consider the possible combinations of the spinner and number cube that result in a sum greater than 25.
First, note that the highest possible sum we can get is 12 (that is 6 from the spinner and 6 from the number cube). Therefore, we can remove all combinations that result in a sum of 24 or less.
Next, we can consider the combinations that result in a sum of 25 like this:
Spinner lands on 6, number cube lands on 5
Spinner lands on 5, number cube lands on 6
Spinner lands on 6, number cube lands on 4
Finally, we can consider the combinations that result in a sum greater than 25:
Spinner lands on 5, number cube lands on 5
Spinner lands on 6, number cube lands on 5
Spinner lands on 5, number cube lands on 6
Spinner lands on 6, number cube lands on 6
Here, 4 possible combinations can result in a sum greater than 25 from a total of 6 x 6 = 36 possible outcomes.
So, the probability of getting a sum greater than 25 is 4/36 = 1/9.
Therefore, none of the given answer choices matches this result.
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Identify an equation in standard form for a hyperbola with center (0, 0), vertex (6, 0), and focus (10, 0).
Answer:
Step-by-step explanation:
