Answers
We know that in total all (a,b,c,d) equal 1
So .28+.56+C+D=1
We can interpret it as
.84 + 2x = 1
x=.08
So P(D) = .08
Related Questions
What is the diameter of a 5mm circle?
Answers
Answer:
If the radius is 5mm, the diameter is 10mm.
Step-by-step explanation:
5*2=10
Suppose we have a random sample of size n = 5 from a continuous uniform distribution on the interval [0, 1]. Find the probability that the third largest observation in the
sample is less than 0.7.
Answers
The probability that the third largest observation in the sample is less than 0.7 is 0.2401 = 24.01%.
How do we calculate?The sample size n = 5,
Therefore the order statistics will be represented as X₁, X₂, X₃, X₄, and X₅.
Probability that X₃ is less than 0.7:
Since X₃ is the third largest observation = (X₁ and X₂) < 0.7.
The probability that X₃ is less than 0.7 is (0.7)² = 0.49.
The Probability that X₁ and X₂ < or equal to 0.7 is found as:.
The probability that both X₁ and X₂ are less than or equal to 0.7 is (0.7)² = 0.49 because in a continuous uniform distribution, the probability of any single observation being less than 0.7 is 0.7 - 0 = 0.7.
We then get the product of both cases:
Probability = 0.49 * 0.49 = 0.2401
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Which of the following are irrational numbers?
Choose the two correct answers.
Responses
100−−−√ 100 ,
28−−√ 28 ,
11−−√ 11 ,
2.78¯¯¯¯
Answers
The value of an irrational numbers are,
⇒ √28
⇒ √11
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The numbers are,
⇒ √100
⇒ √28
⇒ √11
⇒ 2.78⁻⁻⁻
Now, We know that;
An irrational number is a number that cannot be expressed as a fraction for any integers.
Hence, We get;
The correct value of an irrational numbers are,
⇒ √28
⇒ √11
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find the volume of the rectangular prism in cubic feet
Answers
Answer:
1.632 ft^3
Step-by-step explanation:
3.4 times .8 times .6 = 1.632 ft.
therefore the volume of the rectangle is 1.632 ft^3
The typical amount of sleep per night that adults get has a bell-shaped distribution with a mean of 7.5 hours and a standard deviation of 1.3 hours. About 68% of adults typically sleep between a minimum of ___ hours a night and a maximum of ____ hours a night. Please enter your answer in the following format and round to the first decimal place: (min_value, max_value)
Answers
Answer:
(6.2, 8.8).
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed(bell-shaped) random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 7.5 hours
Standard deviation = 1.3 hours
About 68% ...
By the Empirical Rule, within 1 standard deviation of the mean.
7.5 - 1.3 = 6.2
7.5 + 1.3 = 8.8
So in the format requested
(6.2, 8.8).
16
20
25
16
20
50
5. Eli's school collected 140 canned foods last month, which represents 25% of their goal.
Part A: What is the school's goal for the number of canned foods they hope to collect?
anned
Answers
Answer:
560
Step-by-step explanation:
I'm kinda confused on whats being asked i went with just question number 5
Sketch the graph of the given function. Then state the function’s domain and range. y = 4(4)x
Answers
To sketch the graph of the function y = 4(4)^x, we can start by plotting a few points to get an idea of the shape of the graph.
Let's choose some x-values and calculate the corresponding y-values:
For x = -2, y = 4(4)^(-2) = 4(1/16) = 1/4
For x = -1, y = 4(4)^(-1) = 4(1/4) = 1
For x = 0, y = 4(4)^0 = 4(1) = 4
For x = 1, y = 4(4)^1 = 4(4) = 16
For x = 2, y = 4(4)^2 = 4(16) = 64
Now we can plot these points on a coordinate plane and connect them to form the graph of the function.
The graph of y = 4(4)^x will start at the point (0, 4) and increase rapidly as x increases. It is an exponential growth function where the base is 4.
The domain of the function is all real numbers since there are no restrictions on the values of x.
The range of the function is the set of positive real numbers greater than zero. As x increases, y grows without bound, approaching positive infinity but never reaching zero or becoming negative.
Set Question involving real and natural numbers
Answers
Only two real numbers satisfy x² = 23, so A is the set {-√23, √23}. B is the set of all non-negative real numbers. Then you can write the intersection in various ways, like
(i) A ∩ B = {√23} = {x ∈ R | x = √23} = {x ∈ R | x² = 23 and x > 0}
√23 is positive and so is already contained in B, so the union with A adds -√23 to the set B. Then
(ii) A U B = {-√23} U B = {x ∈ R | (x² = 23 and x < 0) or x ≥ 0}
A - B is the complement of B in A; that is, all elements of A not belonging to B. This means we remove √23 from A, so that
(iii) A - B = {-√23} = {x ∈ R | x² = 23 and x < 0}
I'm not entirely sure what you mean by "for µ = R" - possibly µ is used to mean "universal set"? If so, then
(iv.a) Aᶜ = {x ∈ R | x² ≠ 23} and Bᶜ = {x ∈ R | x < 0}.
N is a subset of B, so
(iv.b) N - B = N = {1, 2, 3, ...}
are of a trapuiezuim
Answers
Answer:
yay girl I like it like that
Consider the following probability distribution of the daily profit of a bakery.
x p(x)
-100 0.05
0 0.15
200 0.30
300 0.40
400 0.10.
(Negative profit represents a loss.)
On a given day, the probability the bakery will have a profit of $200 or more is:________
a. 0.50
b. 0.80
c. 0.2
Answers
Answer:
b. 0.80
Step-by-step explanation:
The probability distribution means that we have these following probabilities:
0.05 probability of having a loss of $100.
0.15 probability of having neither a loss nor a profit.
0.30 probability of a profit of $200.
0.40 probability of a profit of $300.
0.10 probability of a profit of $400.
On a given day, the probability the bakery will have a profit of $200 or more is
Either 200, 300 or 400.
Looking at it's probabilities;
0.3 + 0.4 + 0.1 = 0.8
So the correct answer is:
b. 0.80
Evaluate ∛343 + √36
Answers
Answer:
13
Step-by-step explanation:
\(\sqrt[3]{343} = 7\) and √36 = 6 so the answer is 7 + 6 = 13.
Answer:
13
Step-by-step explanation:
Cube root of 343: 7
Square root of 36: 6
7+6
13
which geometric figures are shown in the diagram
Answers
Answer:
A circle to start off, encompassing almost the entire figure, then a triangle, with D, A and C as its vertices, then a fan (a sector of a circle), with C, E and B as its vertices. Next, a chord (DA) which serves as a line segment at the same time, and finally three rays, starting from C and ending in A, B and E respectively. In total, six geometric figures.
Step-by-step explanation:
Hope this helped!
How many 1/7 cup servings are in 9 cups of pecans (in fraction form)
Answers
Have a nice day!!
A linear function was modeled
because there was a
rate of
change.
O constant
O variable
Answers
Answer:
contant
Step-by-step explanation:
9. Kyoko plans to put a new wood floor in her den, which is shown in the floor plan.
a. What is the area of the floor?
b. At a cost of $11 per square foot, how much will it
cost to put down the new floor?
c. Kyoko plans to put a rectangular area rug in the
room. The rug will be large enough so that only
a 2-foot wide section of the wood floor will be
exposed on each side. Find the dimensions of the
area rug.
d. What is the area of the area rug?
Den
17 ft x 14.5 ft
e. Find the area of the wood floor that will be exposed once the area rug is laid down.
Answers
a.) The area of the floor = 246.5ft²
b.) The amount that it will cost to put down the new floor would be = $2,711.5
C.) The new dimensions of the area rug would be= Length= 21ft, width = 18.5 ft.
d.) The area of the area rug would be = 388.5ft²
How to calculate the area of the floor?For question a.)
The floor has a rectangular shape. The area of a rectangle = length×width
area of the floor= 17×14.5
= 246.5ft²
For question b.)
For a square foot(1ft²) = $11
246.5ft² = 246.5×11 = $2,711.5
For question c.)
Since the rug will be extended by 2ft at each side, the new dimensions would be:
length = 2+2+17 = 21ft
width = 2+2+14.5 = 18.5ft
For question d.)
The area of the floor with the new dimensions = 21×18.5 = 388.5ft²
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if angle ABD = 124 degrees what is angle ABC
Answers
We have the following:
We know that a bisector line is one that divides into two equal parts, therefore
\(\begin{gathered} \text{ABD}=\text{ABC}+\text{CBD} \\ \text{ABC}=\text{CBD} \end{gathered}\)replacing:
\(\begin{gathered} 124=\text{ABC}+\text{ABC} \\ 2\cdot\text{ABC}=124 \\ \text{ABC}=\frac{124}{2} \\ \text{ABC}=62 \end{gathered}\)Which means that the angle ABC measures 62 degrees.
a jet flew 2660 miles in 4.75 hours. what is the rate of speed in miles per hour? (the proportion would be 2660:4.75::x:1 set the proportion in fractional form and proceed to find x.)
Answers
Set the proportion as shown:
2660/4.75 = x/1
Cross multiply:
4.75x = 2660
Divide both sides by 4.75
x = 560
Answer: 560 miles per hour
When solving the equation 15 = -3x + 3, the first step would be
Answers
12=-3x
Answer:
Subtract 3 from both sides
Step-by-step explanation:
When solving a linear equation, you need to get all the constants to one side and all the variable terms to the other side. In the equation 15=-3x+3, there is one constant on the left, and a variable term and a constant on the right. You have to move the constant, in this case 3, to the left side in order to solve. To do this, you perform the opposite operation, so in this case, you would subtract 3 from both sides. The 3 on the right will cancel out with the minus three, so you will have a zero on the right side, which can just be removed. You are left with 12=-3y.
Please help me with this and show work!! I’ll give brainliest
Answers
Answer:
The original price of the tie was 20 dollars
Step-by-step explanation:
The price of the t-shirt was originally 24, but because he bought it on sale, he would have payed 12 because 24x.5=12. This means we can subtract the value payed for the shirt from the total money payed. 22(total)-12(shirt)=. 10 (tie). However, 10 is the price he payed for the tie, not its original value. We can find this by multiplying 10x2, which gives us our answer.
Answer:
20 dollars is the original price
Question 5(Multiple Choice Worth 2 points)
(Rotations MC)
Polygon PSRT is drawn with vertices at P(1, 5), S(1, 0), R(−2, −3), T(−4, 2). Determine the image vertices of P′ if the preimage is rotated 90° counterclockwise.
P′(1, 5)
P′(−1, −5)
P′(5, −1)
P′(−5, 1)
Answers
The image vertices of P' if the preimage is rotated 90° counter clockwise is P'(-5,1)
What is image vertices?An image vertex refers to a point in the plane that results from applying a transformation to a given vertex. A transformation is a mathematical operation that changes the position, size, or shape of a figure.
According to question:The image vertices of P' when the preimage polygon PSRT is rotated 90° counter clockwise can be found by applying a transformation to each vertex of the polygon. This transformation involves switching the x- and y-coordinates of each vertex and negating the new y-coordinate.
(x, y) -> (-y, x)
For the vertex P(1, 5), we can apply this transformation to get the image vertex P':
P' = (-5, 1)
Similarly, we can apply the transformation to the other vertices of the polygon:
S(1, 0) -> S'(0, 1)
R(−2, −3) -> R'(3, -2)
T(−4, 2) -> T'(2, 4)
Therefore, the image vertices of P' are P'(-5, 1), S'(0, 1), R'(3, -2), and T'(2, 4).
This means that the rotated polygon has the vertices P', S', R', and T', which form a new polygon that is 90° counter clockwise rotated from the original polygon PSRT.
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70 points and brainliest if the answer is correct
5^4x5^7
A. 125^11
B. 15^11
C. 5^28
D. 5^11
Answers
Answer:
Option D
Step-by-step explanation:
If the bases are the same in a multiplication problem, then you can simply add the exponents. (i.e., a² × a⁶ = a²⁺⁶ = a⁸)
\(\bullet \rightarrow 5^4\times5^7\)
\(\bullet\rightarrow 5^{4 + 7}\)
\(\bullet \rightarrow \boxed{5^{11}}\)
Answer: D
Step-by-step explanation:
5^4 x 5^7
You will add the exponent 4 + 7 = 11
You will keep your base 5^11
An arborist is preparing the fuel mix for her chainsaw before climbing a tree to remove a dead limb. The two-stroke chainsaw
requires a 5% mix of engine oil to gas-that is, the amount of oil should be 5% of the amount of gas. How much engine oil should
be added to a jerry can that contains 3.8 gallons of gas?
(Type a whole number or a decimal)
Answers
Answer:
To determine the amount of engine oil needed, we need to find 5% of 3.8 gallons:
0.05 x 3.8 = 0.19
So, 0.19 gallons of engine oil should be added to the jerry can.
what does pi mean?
And does it have a symbol?
Answers
Answer: The number π is a mathematical constant, approximately equal to 3.14159. It is defined in Euclidean geometry as the ratio of a circle's circumference to its diameter, and also has various equivalent definitions. The number appears in many formulas in all areas of mathematics and physics.
Also yes, it does have a symbol: π
Answer:
pi is equal to 3.14..... It does have a symbol.
Step-by-step explanation:
Symbol in image below.
Dos lados de un triángulo miden 10 y 14m y el ángulo comprendido entre ellos mide 37º. Calcula el área de dicha región triangular.
Answers
From the given parameters, the area of the triangle is 288m².
How to calculate the area of a triangle?
A triangle is a polygon with three angles, three vertices and three sides whose sum of angles is 180⁰
Let the vertices of the triangle be labelled ABC
/AB/=16m
/BC/=45m
<ABC=127⁰
The given information formed an obtuse angled triangle.
Area of the triangle (A) = \(\frac{1}{2}\)ACsinB
Substituting the various values in the formula we have;
A=\(\frac{1}{2} *16*45*sin127^{0}\)
simplifying the equation to get;
A=8*45*0.7986
A=287.5088
A=288m²
Therefore, the area of the triangle to the nearest whole number is 288m²
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evaluate 5y^2 if y=2
Answers
Answer:
answer = 20
Step-by-step explanation:
5 X y^2 = 5 X 2^2
---> 5 X 4 = 20
Please mark my answer as the brainliest! It would mean a lot to me!
In August 1999 a company purchased an asset for $12000, which it
decided to depreciate using the diminishing value method. The book value
at the end of 3 years was $5062.50. Using the information in Table 8.1 attached.
(a) calculate the rate of depreciation
(b) determine the possible values of effective life of the asset
(c) construct a depreciation schedule for 5 years
Answers
Xan and Katie are twins. Xan weighs 666 pounds 999 ounces, and Katie weighs 888 pounds 111 ounce.
What is the difference, in ounces, between Xan and Katie's weight?
Answers
Answer:
Difference in weight is 24 once
Step-by-step explanation:
got it right
The total revenue for Jane's Vacation Rentals is given as the function R(x)=400x−0.4x2
, where x is the number of apartments booked. What number of apartments booked produces the maximum revenue?
Answers
The vertex of a quadratic function in the form ax^2 + bx + c can be found using the formula x = -b / (2a).
In this case, a = -0.4, b = 400, and c = 0.
Using the formula, we can calculate the x-coordinate of the vertex:
x = -b / (2a)
= -(400) / (2 * (-0.4))
= -400 / (-0.8)
= 500
Therefore, the number of apartments booked that produces the maximum revenue is 500.
Please help with this question
\(10 \sqrt{2} \)
Answers
Answer:
The answer is approximately equal to 14.14214
Apply the distributive property to factor out the greatest common factor. 90+27= equals
Answers
Answer:
1.
90+27
2.
90 = 9 x 10
3.
27 = 9 x 3
4.
So apply the distributive property would be:
90 + 27 = 9(10 + 3)
Step-by-step explanation:
Answer:
The greatest common factor of 90 and 27 is 9.
Using the distributive property , you could write: 9(10 + 3)