Answer:
Step-by-step explanation:
FYI 7 over 2 (negative) is -3.5 on that number line, and since you want go to a number greater than -3/2, which is -1.5, now that we know our decimals, 1., it makes this easier and 2, now we make our inequality and solve it. Here we just do -3.5<x, and if you need to do it on the number line start from -7/2 and then go to -3/2 and draw an arrow, and the circle has to be an O not a black dot because it isnt greater/less than OR equal to.
Can the following list represent a complete probability model? P(2)= 1/12 P(3) = 2/3 P(4) = 1/4
Therefore , the solution of the given problem of probability comes out to be a complete probability model cannot be represented by this list.
What exactly is probability?The main objective of each considerations technique is to calculate the likelihood that a claim is true or that a particular incident will occur. Anything between 0 and 1, were 0 traditionally denotes a percentage and 1 typically denotes the degree of certainty, can be used to represent chance. A probability illustration shows the likelihood that a particular event will occur.
Here,
The probabilities assigned to the outcomes do not add up to 1, hence the following list cannot be a complete probability model.
=> P(2) + P(3) + P(4)
=> 1/12 + 2/3 + 1/4
=> (1 + 8 + 3) / 12
=> 12 / 12 = 1
In a complete probability model, the total of the probabilities should always be equal to 1, indicating that there is a probability of 1 that one of the events will occur.
In this instance, there is a missing probability since the sum of the probabilities assigned to the possible possibilities is less than 1.
Therefore, a complete probability model cannot be represented by this list.
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simplify the expression 8 + (7 + x)
Answer:
15 + x
Step-by-step explanation:
Calculate the amount of interest that will be charged on $8500.00 borrowed for 6 months at 5.25%.
Answer:
A = $8,725.58
P (principal) = $8,500.00
I (interest) = $225.58
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 5.25/100
r = 0.0525 rates per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 8,500.00(1 + 0.0525/12)(12)(0.5)
A = 8,500.00(1 + 0.004375)(6)
A = $8,725.58
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $8,500.00 at a rate of 5.25% per year compounded 12 times per year over 0.5 years is $8,725.58.
Shawn has to walk 1 mile to get home. He decides to take a break after walking
5/8 of a mile.
How much farther does he have to walk to get home? You can use the number line below to help you.
He has to walk 3/8 of a mile farther to get home.
To solve the problem, we need to find how much farther Shawn has to walk after taking a break.
If Shawn has already walked 5/8 of a mile, then he still has 3/8 of a mile left to walk to get home.
We can represent this on a number line, where 0 represents the starting point and 1 represents the endpoint (home):
0------------5/8------------1
From this number line, we can see that Shawn has walked 5/8 of the distance and still has 3/8 of the distance left to walk to get home.
Therefore, he has to walk 3/8 of a mile farther to get home.
What is number line?
A number line is a visual representation of the real numbers, where numbers are placed at equal intervals on a straight line. The number line is usually drawn horizontally, with zero in the center and positive numbers to the right of zero and negative numbers to the left of zero.
The distance between two consecutive integers on the number line is usually equal, making it easy to represent and compare numbers. Decimals, fractions, and irrational numbers can also be represented on the number line by placing them at appropriate locations between the integers.
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if x-y = 8 and xy=5 , find x^2 + y^2
Answer:
x² + y² = 74
Step-by-step explanation:
given
(x - y) = 8 ( square both sides )
(x - y)² = 8² ← expand left side using FOIL
x² - 2xy + y² = 64 ← substitute xy = 5
x² - 2(5) + y² = 64
x² - 10 + y² = 64 ( add 10 to both sides )
x² + y² = 74
Let register x5 hold the hex number 01a74cd0hex and let x6 hold the hex number 00467b44 hex. If this information is enough, then answer the following three questions, else explain what extra information you may need to proceed.a) (1.5 pts) What are the contents of register x31 after the following instruction is executed? addi x31, x5, 32
b) (1.5pts) What would be the contents of register x28 after the following instruction is executed? add x28, x5, x6
c) (1.5 pts) What would be the contents of register x29 after the following instruction is executed? ld x29, 1056decimal (x30)
d) (1.5 pts) What would be the contents of register x29 after the following instruction is executed? sd x28, 16 decimal (x29)
a) The contents of register x31 after the following instruction is executed? addi x31, x5, 32 is 277968880 decimal.
b) The contents of register x28 after the following instruction is executed is 278427652 decimal.
c)The contents of register x29 after the following instruction is executed is 1056 decimal
d) The contents of register x29 after the following instruction is executed is 278427652 decimal
In computer architecture, registers are special storage locations within the CPU that hold data temporarily. These registers can hold values in binary, decimal, or hexadecimal formats. In this scenario, we have two registers x5 and x6, holding hexadecimal values. We will use these values to answer the given questions about register manipulation.
a) To determine the contents of register x31 after the instruction "addi x31, x5, 32", we need to add 32 to the value in x5 and store the result in x31. The value in x5 is 01a74cd0hex, which is equivalent to 277968848 in decimal. Adding 32 to this value, we get 277968880 decimal. Therefore, the contents of register x31 after the instruction is executed would be 277968880 decimal.
b) To determine the contents of register x28 after the instruction "add x28, x5, x6", we need to add the values in x5 and x6 and store the result in x28. The value in x5 is 01a74cd0hex, which is equivalent to 277968848 decimal. The value in x6 is 00467b44hex, which is equivalent to 458804 decimal. Adding these two values, we get 278427652 decimal. Therefore, the contents of register x28 after the instruction is executed would be 278427652 decimal.
c) To determine the contents of register x29 after the instruction "ld x29, 1056decimal (x30)", we need to load the value at memory location 1056decimal + the value in register x30 into register x29. The value in register x30 is not given in this scenario, so we cannot determine the contents of register x29.
d) To determine the contents of register x29 after the instruction "sd x28, 16 decimal (x29)", we need to store the value in register x28 at memory location 16 decimal + the value in register x29. The contents of register x28 is 278427652 decimal
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A coral reef grows 0.14 m every week. How much does it grow in 13 weeks?
Answer: 1.82 m
Step-by-step explanation:
Ratios
0.14 n 0.14 x 13 = 1.82
1. 13 1.82/1 = 1.82
The blue segment below is a radius of o .What is the length of the diameter
of the circle
Answer:
B.) 21.2 units
Step-by-step explanation:
Radius = Diameter divided by 2
So
Diameter = radius multiple by 2
How many feet tall is the tree?
Answer:25.5
Step-by-step explanation:
the person was six feet tall and cast a shadow of 6.5 feet tall that means the shadow adds a hight diffrence of 0.5 which means that the tree is 25.5 feet tall
I need help on listing the four points that have a distance of 5 from the point B, correct answer I will make brainliest thank you!
Answer:
(0,5) (-5,0) (-5,10) (-10,5)
Step-by-step explanation:
You win an online auction for a toy. Your winning bid of $30 is 60% of your maximum bid. How much more were you willing to pay for the toy than you actually paid?
Answer:
I was willing to pay $20 more for the toy than I actually paid.
Step-by-step explanation:
Let us take the maximum bid be y
So,
(y × 60) ÷ 100 = 30
60y/100 = 30
60y/100 × 100 = 30 × 100
60y = 3000
60y/60 = 3000/60
y = 50
60% of $50 is $30
So,
50 - 30 = 20
Thus, I was willing to pay $20 more for the toy than I actually paid.
Elyas is on holiday in Greece.
He wants to buy a pair of sunglasses for €90
The exchange rate is €1 = £0.875
Elyas says, "The sunglasses cost less than £70"
Using a suitable approximation, show that Elyas is wrong.
Answer:
To convert euros to pounds, we have to multiply the amount in euros by the exchange rate. So, the sunglasses cost 90 * 0.875 = 78.75 pounds.
To use a suitable approximation, we can round the exchange rate to the nearest hundredth, which is 0.88. This makes the calculation easier and gives a close estimate of the actual value.
Using the rounded exchange rate, the sunglasses cost 90 * 0.88 = 79.2 pounds.
We can see that both the exact and the approximate values are greater than 70 pounds, so Elyas is wrong. The sunglasses cost more than 70 pounds
Step-by-step explanation:
Answer this please its about finding volumes
Answer:
Step-by-step explanation:
volume = 696.56 in3
volume = 22,824.77 ft3
volume = 60,074.09 yd3
its all in order hope this helps :)
Amir made an 8 by 6 array of cupcakes.Then he broke it into two smaller arrays.Which two products can Amir all to find the total number of cupcakes?
Answer:
48
Step-by-step explanation:
All you need to do since this is an array all you need to do is multiply the 2 smaller ones together.
i dont understand this
We can Add 7 black beads to make ratio 3 : 1.
Since we can only change the number of black beads, decide how many black beads you will add based on how many white beads there are.
There are three white beads in the picture.
Total beads we will have (b meaning black)b : 3
Ratio black : white beads 3 : 1
Use the common ratio, which is a number that both sides of the original ratio multiply by to get to the new ratio.
Find common ratio by dividing total by ratio white beads: 3/1 = 3
Multiply ratio black beads by common ratio. 3 X 3 = 9
We need 9 black beads in total.
Check answer
9 : 3
Both sides divisible by 3; reduce ratio
= 3 : 1
Which is Correct ratio
Hence, There will be a total of 9 black beads, but we already have 2 black beads:
(9 total) - (2 original) = (7 to add)
Therefore , we need to add 7 black beads.
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Work sheet is pretty hard giving 20 points
Part A: The Table for the data set above and it's title are attached accordingly.
Part B:
1) The shortest marker in the data set is Marker 1, which has a length of 4.00 inches.
2) The longest marker in the data set is Marker 14, which has a length of 6.75 inches.
3) The range of the data set is 2.75 inches, calculated by subtracting the shortest marker (4.00 inches) from the longest marker (6.75 inches).
4) To find the median, we need to arrange the data set in order from smallest to largest:
4.00, 4.25, 4.75, 5.00, 5.00, 5.25, 5.50, 5.50, 5.625, 6.00, 6.25, 6.25, 6.25, 6.50, 6.75
The median is the middle value, which is 5.50 inches.
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Amir is expecting to receive at least $50 from his grandparents for his birthday. He plans on using all of the money to buy new clothes for summer. He would like a new pair of sandals that cost $26.50 and new shirts that cost $8 a piece. Write an inequality to represent the number of new shirts he can buy in terms of the sandals and the amount of money he will receive.
The inequality that models the situation is given by:
\(8n \leq 23.5 \rightarrow n \leq 2.9375\)
How does Amir plans to spend his $50?He plans to spend it as follows:
With a new pair of sandals, costing $26.50.With n new shirts, each costing $8.Hence, his total spending is given by:
T = 26.50 + 8n.
He can spend at most $50, hence:
\(T \leq 50\).
\(26.50 + 8n \leq 50\)
\(8n \leq 23.5 \rightarrow n \leq 2.9375\)
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eight hundred twenty nine and six tenths as a decimal
John can create 20 paintings in 4 weeks. How many paintings can he create each week?
The answer would be 5
20/4=5
7 raised to the power 2 divided by 7 raised to the power 3
The value of given expression 7 raised to the power 2 divided by 7 raised to the power 3 is 1 / 7
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
Given expression,
7 raised to the power 2 divided by 7 raised to the power 3
7 ^ 2 / 7 ^ 3
The value of a ^ m / a ^ n = a ^ m-n
= 7 ^ (2-3)
= 7 ^ ( -1)
= 1 / 7 .
Therefore, The value of given expression 7 raised to the power 2 divided by 7 raised to the power 3 is 1 / 7
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If the area of a rectangle is 1260 cm2 and its perimeter 146cm, what is the length of a diagonal?
Answer:
d=p/a
d=146/1260
=53cm
Answer:
d=53cm
Step-by-step explanation:
diagonal= p/a
1260/146
=53
hopw this helps
Which fractions have a LCD of 30?
A 3/4, 1/7, 1/6
B 2/3, 1/5, 1/15
C 2/15, 1/4, 1/3
D 2/3, 1/6, 1/5
Answer:
B
Step-by-step explanation:
2/3, 1/6, and 1/5 fractions have an LCD of 30 which is correct option(D).
What is LCD?The lowest common denominator is defined as the set of fraction denominators with the lowest common multiple. The lowest positive integer with more than one denominator in the set is LCD.
LCD by division of prime numbers
(D) 2/3, 1/6, 1/5
The factors of the denominators 3, 6, 5
3 = 3 x 1
6 = 3 x 2 x 1
5 = 5 x 1
The LCD = 3 x 2 x 5 = 30
Hence, 2/3, 1/6, and 1/5 fractions have an LCD of 30.
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put a digit in the gap, such that the answer is a whole number 10x + 11 = 144
Answer:
13.3 or 13
Step-by-step explanation:
10x+11=144
10x=144-11
10x=133
x=133/10
x=13.3
f(x) =2x if f(x) =29 , x=
Given:
\(f(x)=2x\)\(\begin{gathered} \text{if } \\ f(x)=29 \end{gathered}\)so the value of x is:
\(\begin{gathered} f(x)=2x \\ f(x)=29 \\ f(x)=f(x) \\ 2x=29 \\ x=\frac{29}{2} \\ x=14.5 \end{gathered}\)So the value of x is 14.5
50 POINTS
Select the correct answer.
Consider function f.
f(x)= 2x^2
What is the value of (f o f)(x)?
A: 16x^4
B: 4x^2
C: 4x^4
D: 8x^4
Answer:the answer is D
Step-by-step explanation:
I just took the test,its 8x^4.
The value of the function (f o f)(x) will be 4x⁴. Then the correct option is C.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function.
The function is given below.
f(x)= 2x²
Then the value of the function (f o f)(x) will be
(f o f)(x) = f(x) · f(x)
(f o f)(x) = 2x² · 2x²
(f o f)(x) = 4x⁴
Then the correct option is C.
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The Department of Transportation (DOT) monitors sealed bids for new road construction. For new access roads in a certain state, let low bid (thousands of dollars) and let estimate of fair cost of building the road (thousands of dollars). The joint probability density of X and Y is f(x,y)= e^-y/10/10y 0< y
Complete Question
The complete question is shown on the first and second uploaded image
Answer:
The marginal density function of Y is \(f(y)= \frac{e^{\frac{-y}{10} }}{10}\)
The distribution is exponential distribution
and the expected value is\(E[Y] = 10\)
Step-by-step explanation:
From the question we are told that the function is
\(f(x,y) = \frac{e^{-\frac{y}{10} }}{10y} \ \ \ 0< y <x<2y\)
Now the marginal density function of Y i.e f(y) is mathematically evaluated by obtaining the probability density function of y as follows
\(= \int\limits^{2y}_{y} { \frac{e^{\frac{-y}{10} }}{10y} } \, dx\)
\(= \frac{e^{\frac{-y}{10} }}{10y} * (2y - y )\)
\(= \frac{e^{\frac{-y}{10} }}{10}\)
The distribution of the function above is exponential distribution with a rate parameter equals to
\(\lambda = \frac{1}{10}\)
The mean DOT estimate E{Y} is mathematically evaluated as
\(E[Y] = \frac{1}{\lambda}\)
substituting value
\(E[Y] = \frac{1}{\frac{1}{10} }\)
\(E[Y] =10\)
This test will not impact your grade.
Exam
5
Shot
1.38
Find the missing side. Round
to the nearest tenth.
S
02
17
у
SC
440
Х
x= [?]
Enter
Answer:
if i am not wrong is 119
Step-by-step explanation:
I did it like this:
I took 44 + 17= 61
And then I took 180-61= 119
An item is regularly priced at $29. It is on sale for 80% off the regular price.
Solve this equation using indices
8 x 8^4x-3 = 512 x 8^x
The solution using indices for the given equation is (x = 5/3).
What is meant by indices?The small floating quantity that makes it appear after an amount or letter is known as an index or power. Indexes is the plural of index. Indices represent the number of times a quantity or letter has indeed been multiplied on its own.Indexes are also referred to as powers or exponents. It indicates how many times a provided number must be multiplied.The multiplication of x is equal to the base x raised to a power of p.For the given expression in question;
8 × 8⁴ˣ⁻³ = 512 × 8ˣ
By the property of indices, if the base is equal; then the powers are added with sign.
8⁴ˣ⁻³⁺¹ = 512 × 8ˣ
As, we know that 512 is the cube of 8.
8⁴ˣ⁻² = 8³ × 8ˣ
Apply the power law on right side;
8⁴ˣ⁻² = 8³⁺ˣ
As, the base on both side is equal, then the exponents are also equal.
Thus,
4x - 2 = 3 + x
Bring variables and constants on different sides.
4x - x = 3 + 2
3x = 5
x = 5/3
Therefore, the value of x is found as 5/3.
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PLEASE HELP!! use the diagram shown. what is the length of GD?
Answer:
should be 8.
Step-by-step explanation:
As the picture shows, FG is 8. It also shows that FG and GD are congruent, so they are both equal to 8