Given
The probability distribution for the random variable X is,
X - 6 7 8 9 10
P(X) - 0.31 0.23 0.11 0.26 0.09
To find the probability of the random variable X being at least seven.
Explanation:
It is given that,
The probability distribution for the random variable X is,
X - 6 7 8 9 10
P(X) - 0.31 0.23 0.11 0.26 0.09
Then,
\(\begin{gathered} P(at\text{ }least\text{ }7)=P(X=7)+P(X=8)+P(X=9)+P(X=10) \\ =1-P(6) \\ =1-0.31 \\ =0.69 \end{gathered}\)Hence, the probability of the random variable X being at least seven is 0.69.
Determine the domain of each relation, and determine whether each relation describes y as a function of b, x = b
The Y value can therefore be either positive or negative for every given X number, proving that this isn't a function.
Explain about the domain of the function?X is equal to why's absolute value, and we're looking for the domain. Remember that the domain is simply the set of all conceivable X values. As a result, when we look at the this equation, an absolute value sign just on y axis makes all negative numbers positive and all positive numbers, just that one number, positive.For the stated question:
Relation : x = b
Its absolute value of a negative is equal to the absolute amount of a positive alone.
Since zero's absolute value was only zero, all of the X values has to be positive or zero. Because if an exit value had a negative value, the absolute value sign could be in contravention of its rule.Therefore, the domain includes only positive numbers plus zero, and we can use any value for X to check whether or not it is a function. Let's assume that X is 20. 20 equals are available. the reason in its entirety Since we just observed that absolute value of the a negative number up above, y in this case may either equal only positive 20 and y can equal negative 20. This case's negative 20 is only 20, after all.Thus, the Y value can therefore be either positive or negative for every given X number, proving that this isn't a function.
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Carey and Patrick both borrowed money from Melinda. Carey owes Melinda $30.
Patrick owes Melinda 1/3 the amount Carey owes. How much does Patrick owe
Melinda?
A band expects to put 16 songs on their next CD. The band writes and records
25% more songs than they expect to put on the CD. During the editing process,
10% of the songs are removed. How many songs will there be on the final CD?
There will be __ songs on the final CD
Answer:
14 songs on the final CD.
What is the slope of the line
Answer:
5/4 or 1.25
Step-by-step explanation:
formula of slope: (y²-y¹)/(x²-x¹)
2points: (0,2) and (-4,-3)
slope= (-3-2)/(-4-0)
= -5/-4
= 5/4 or 1.25
Plz hurry I really need the answer… like now
Answer:
2700 square feet
Step-by-step explanation:
5+4=9x300=2700
Choose the expression that is equivalent to the expression n − n + n − n.
A rectangular prism with a square base has a height of 17.2cm and a volume of 24.768cm². What is the length of its base?
A dairy farmer wants to mix 35% protein supplement in a standard 10% protein ration to make 1300 pounds of high grades 25% protein ration how many pounds of each should he use
Answer:
Therefore, you need 2600 pounds of 35% supplement and 1300 - 2600 = -1300 pounds of 10% ration.
Step-by-step explanation:
The unknown variable is x, which is the amount of 35% supplement needed. The other expressions are derived from the given information and the fact that the total amount of solution is 1300 pounds.
The equation from the fourth column is:
0.35x + 0.10(1300 - x) = 0.25(1300)
Solving for x, we get:
x = (0.25(1300) - 0.10(1300)) / (0.35 - 0.10) x = 650 / 0.25 x = 2600
3. A water pumping station is to be built on a river at point P in order to deliver water to points A and B. The design requires that LAPD = /BPC so that the total length of piping that will be needed is a minimum. Find this minimum length of pipe. B 6.00 mi CH P 12.0 mi A 10.0 mi D
The minimum length of pipe required to deliver water to points A and B is approximately 20.375 miles.
We are given that a water pumping station is to be built on a river at point P in order to deliver water to points A and B. The design requires that LAPD = /BPC so that the total length of piping that will be needed is a minimum. We need to find this minimum length of pipe.
The given figure is shown below: \(AB = 10 \ miles\)\(BC = 6 \ miles\)\(CP = 12 \ miles\). We are given that \(LAPD = LCPB\).
Now, we need to find the minimum length of pipe required for delivering the water to points A and B.The total length of the pipe, \(L_{total} = LA + AB + BP\)Since \(LAPD = LCPB\), we can say that\(AP^2 + PD^2 = BP^2 + PC^2\).
From the triangle ACP, we can say that\(AC^2 = AP^2 + PC^2\). So, we can substitute AP^2 + PC^2 with AC^2 to get\(AP^2 + PD^2 = BP^2 + AC^2\)Now, we can substitute AP = AC - PC and BP = BC + PC in the above equation to get\((AC - PC)^2 + PD^2 = (BC + PC)^2 + AC^2\).
After solving this equation, we get\(AC = \frac {37}{8}\) and \(PC = \frac {27}{8}\)Now, we can calculate the length of pipe required as follows: \(L_{total} = LA + AB + BP = 10 + 6 + \frac {27}{8} = \boxed{20.375 \ miles}\). Therefore, the minimum length of pipe required to deliver water to points A and B is approximately 20.375 miles.
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geometry please helpp
Answer:
(1)
Step-by-step explanation:
11111111111111111111111
find the volume of the figure
Answer:
Step-by-step explanation:
base area=41.57 in²
height=9 in
volume=41.57×9=374.13 in³
create a model or equation that will represent to the amount of relief each family will receive bearing in mind that the number of families will vary.
Missing Information
Suppose the officials conducted a survey for 4 days to determine the actual number of families residing in the barangay and the secretary constructed a tableto keep track of the data.
Day 0:
Number of families: 850
Amount of relief each family will receive: 520
Answer:
f(x) = 442000/x
Step-by-step explanation:
Given
The data in the above table
Required
Determine a model or equation
First, we need to determine the amount of relief for all families.
Using data in day 0.
Total Amount = 850 * 520
Total Amount = 442000
Next, we determine the function of equation.
Let the number of families he represented by x
The function or equation is gotten by dividing the total amount by the number of families.
Hence:
f(x) = Total Amount ÷ x
Substitute values for total amount and x
f(x) = 442000/x
Hence, the model that satisfies the given information is:
f(x) = 442000/x
Trova la primitiva della funzione f(x)= xì2-2x+1 che ha un flesso di ordinata 4/3
Answer:
cioè x ≥ 1; si avrà pertanto x > 0
Step-by-step explanation:
EXERCISE 2. Risolvere le seguenti disuguaglianze:
(1) | x−1 |< 3
(2) | x+1 |> 2
(3) | 2x+1 |< 1
(4) | x−1 |<| x+1 |
Caso: (a): | x−1 |< 3, risolvo
x−1 < 3
x ≥ 1
∪
−x+1 < 3
x < 1
, si avrà quindi
x < 4
x ≥ 1
cioè 1 ≤ x < 4 e
x > −2
x < 1
cioè −2 < x < 1. L’unione tra le due dà la soluzione −2 < x < 4
Caso: (b):
x+1 > 2
x ≥ −1
∪
−x−1 > 2
x < −1
, si avrà quindi
x > 1
x ≥ −1
cioè x > 1 e
x < −3
x < −1
cioè x < −3,
pertanto x < −3 ∪ x > 1
Caso: (c):
2x+1 < 1
x ≥ −1
2
∪
−2x−1 < 1
x < −
1
2
, si avrà quindi
x < 0
x ≥ −1
2
cioè −
1
2 ≤ x < 0 e
x > −1
x < −
1
2
cioè
−1 < x < −
1
2
. pertanto −1 < x < 0
Caso: (d): in questo caso,
−x+1 < −x−1
x < −1
∪
−x+1 < x+1
−1 ≤ x < 1
∪
x−1 < x+1
x ≥ 1
, si avrà quindi
0 < −2
x < 1
cioè non si hanno soluzioni e
x > 0
−1 ≤ x < 1
cioè 0 < x < 1 e
0 < 2
x ≥ 1
cioè x ≥ 1; si avrà pertanto x > 0
Hey there Ms or Mr could you please help me out with this problem?
just a heads up this an assignment not a test it's about quadrilaterals/parallelograms.
Answer:
4x -17 x
Step-by-step expl4anation:
Write a system of linear equations in two variables that has a solution of (4.2, -2.5)
The system of linear equations y = x - 6.7 and y = - x + 1.7 have solution at point (x, y) = (4.2, - 2.5).
How to derive a system of two linear equations
In this problem we need to construct a system of two linear equations whose solution is point (x, y) = (4.2, - 2.5). Linear equations are algebraic equations of the form:
y = m · x + b
Where:
m - Slopeb - Interceptx - Independent variabley - Dependent variableThe procedure is shown below. First, obtain the intercept of the first equation:
b = y - m · x
(x = 4.2, y = - 2.5, m = 1)
b = - 2.5 - 4.2
b = - 6.7
Second, write the first linear equation:
y = x - 6.7
Third, find the intercept of the second equation:
b = y - m · x
(x = 4.2, y = - 2.5, m = - 1)
b = - 2.5 - (- 1) · (4.2)
b = - 2.5 + 4.2
b = 1.7
Fourth, write the second linear equation:
y = - x + 1.7
Please see the image attached below for a representation of the system of linear equations.
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what is
(-1/3)+1/4+(-1/5)
Answer:
-17/60
Step-by-step explanation:
(-1/3)+1/4+(-1/5)
You placed a 12% down payment on a new home. Given that the amount of the down payment was $42,655.12, determine the price of the home. Round your answer to the nearest cent. a. $355,459.33 c. $426,551.20 b. $387,773.82 d. $473,945.78
Answer:
355,459.33
Step-by-step explanation:
42,655.12/12 = 3554.59
3554.59*100 = 355459.33
The actual price of the home is $355,459.33.
What is Percentage?Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.
So the percentage actually means a part per 100. Percentage is usually denoted by the symbol '%'.
Down payment is the initial payment made when we are buying expensive things like house or car.
Let x be the actual price of the house.
Percentage of down payment = 12% = 12/100 = 0.12
Amount of down payment = $42,655.12
12% of x = 42,655.12
0.12 x = 42,655.12
x = 42,655.12 / 0.12
x = 355,459.333 ≈ 355,459.33
Hence the price of the home to the nearest cent is $355,459.33.
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The boxplot shown below results from the heights (cm) of males listed in a data set. What do the numbers in that
K boxplot tell us?
156
168.1
173.7
The minimum height is
third quartile Q3 is
(Type integers or decimals. Do not round.)
181.4
cm, the first quartile Q, is
cm, and the maximum height is
192
cm, the second quartile Q₂ (or the median) is
cm.
cm, the
From the given box plot, it is found that:
The minimum height is of 156 cm, the first quartile Q1 is 168.1 cm, the second quartile Q2(or the median) is of 173.7 cm, the third quartile Q3 is of 181.4 cm, and the maximum height is of 192 cm.
What does a box-and-whisker plot shows?A box and whisker plot shows five things:
The minimum value.The 25th percentile, which is the median of the bottom 50%.The median, which splits the entire data-set into two halfs, the bottom 50% and the upper 50%.The 75th percentile, which is the median of the upper 50%.The maximum value.The measures are shown in order, from left to right, hence:
The minimum height is of 156 cm, the first quartile Q1 is 168.1 cm, the second quartile Q2(or the median) is of 173.7 cm, the third quartile Q3 is of 181.4 cm, and the maximum height is of 192 cm.
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what is the nth term in a cube number sequence
Answer:
cube numbers: 1, 8, 27, 64, 125, ... - the nth term is. triangular numbers: 1, 3, 6, 10, 15, ... (these numbers can be represented as a triangle of dots).Step-by-step explanation:
IF IT HELPED UH PLEASE MARK ME A BRAINLIEST :-)What is a area pls help
Answer:vArea is the quantity that expresses the extent of a two-dimensional figure or shape or planar lamina, in the plane. Surface area is its analog on the two-dimensional surface of a three-dimensional object.
Step-by-step explanation:
Answer:
This inside of something
Step-by-step explanation:
If the outside border is the perimeter then the inside is area
I need help with this 7x+7-4x+4y^2+
For breakfast, Mr. Hill bought a cup of coffee for $1.39 and a bagel for $1.85. What was his total cost?
Answer:
$3.24
Step-by-step explanation:
Cost for the coffee + Cost for the bagel
$1.39 + $1.85
$3.24
You spend $31 on hibachi and find the service to be great. You decide to tip
20%. How much is the tip?
Answer:
$6.20 savings.
Step-by-step explanation:
Thus, a product that normally costs $31 with a 20 percent discount will cost you $24.80, and you saved $6.20. You can also calculate how much you save by simply moving the period in 20.00 percent two spaces to the left, and then multiply the result by $31 as follows: $31 x . 20 = $6.20 savings.
Answer: $6.20
Step-by-step explanation:
20% x 31 = 6.2
$6.20 is the tip.
Littletown is located 30 miles to the east and 40 miles to the north of Bigtown. How far apart are the two towns?
Answer:
10 miles
Step-by-step explanation:
Answer:
50 miles
Step-by-step explanation:
\(a^{2}\) + \(b^{2}\) = \(c^{2}\)
\(30^{2}\) + \(40^{2}\) = \(c^{2}\)
900 + 1600 = \(c^{2}\)
2500 = \(c^{2}\)
\(\sqrt{2500}\) = \(\sqrt{c^{2} }\)
50 = c
Need help answering question 5
Answer:
Step-by-step explanation:
Clean Machine is Middletown's premier house cleaning service. The company used 2,920 gallons of soap last year, and 35% less this year. How many gallons of soap did the company use this year?
Answer:
Step-by-step explanation:)
what is the best approximation for relative maximum of the polynomial function graphed below?
A. (0.6, -2.8)
Hope this helps! :)
Determine the equation of the graph and select the correct answer below.
Answer: y = (x - 1)² - 3
Step-by-step explanation:
y = (1-1)²-3
y=0-3
y=-3
How much is this worth? Twice as much as 5 dimes and 3 pennies *
Answer:
$1.06
Step-by-step explanation:
5x10=50 or .50
50x2=100 or $1.00
3x2=6 or .06
1.00+.06=1.06
Hope this helps you!!
Need help please and thank you
Hey!
For any graphing calculator problems I would recommend using desmos if your teacher allows it or getting a graphing calculator such as a ti-nspire :)
This way, it will be able to graph and get the answers quicker!
The answers to this question is (37.5,15) and (0,60). To find your answers when you graph always look for where the lines intersect. If the lines do not intersect then it is not one of your answer choices. (examples are below).