Answer:
PEMDAS
Step-by-step explanation:
P=Parenthesis
E=Exponent
M=Multiply
D=Division
A=Addition
S=Subtract
The first step you should perform is the exponent 3 of base 8.
What is BODMAS Rule?BODMAS rule is the rule used when solving expressions involving more than one operations.
It is the abbreviation of Brackets, Order, Division, Multiplication, Addition, Subtraction, which is the order of the operations to be done.
The given expression is 8³ - 10 × 5 - 4.
We know the rule of BODMAS.
since the given expression includes more than one operations, we have to follow the rule of BODMAS.
There are no brackets in the expression.
There is a power of 3 for the base 8.
We should perform that in the first step.
8³ - 10 × 5 - 4 = 512 - 10 × 5 - 4
Next we do the operation of multiplication.
512 - 10 × 5 - 4 = 512 - 50 - 4
There is subtraction.
512 - 50 - 4 = 566
Hence the operation of the power is done first.
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i need help with math
Answer:
Wohho Mark he/she brainliest
Step-by-step explanation:
How much does one square foot of 16 gauge steel weigh if 15.7 square feet weighs 40.035 lb?
Step-by-step explanation:
2.5 pounds per square foot
Examples: 16 ga CRS is 2.5 pounds per square foot.
So, 40.035
Identify the missing parts in the proof.
Given:
DB bisects ABC.
Prove: m
A:
B:
C:
D:
Answer:
Step-by-step explanation:c because I’m in college and Ik trust me
adding and subtracting one step equations. A dividing board is 12.4 feet above the ground. The bottom of the pool is 16.9 feet below the ground. write and solve an equation that gives a distance from the diving board to the bottom of the pool.
Answer:
The distance is 29.3 feet
Step-by-step explanation:
Here, we want to find the distance from the diving board to the bottom of the pool
To get this, we will need to add the height of the diving board above the ground plus the distance of the bottom of the pool below the ground
Mathematically, we can have this as:
12.4 + 16.9
= 29.3 feet
Earl runs 45 meters in 30 seconds. How many meters does Earl run per second? Earl runs meters per second.
Answer: 1.5
Step-by-step explanation
45/30=1.5
check: 1.5x30=45
Please help me....people are just using my points and im running out.....please help me!!
Answer
I think that c would equal 4
Step-by-step explanation:
If you need the explanation, here it is:
When looking at the y part of the answer, you can see it goes up by three and that it is missing a point. This means that if the equation is linear, it goes up by one. Hope that's right!!
Suppose X∼B(n,p). Then E(X)=np. True False Question 4 (5 points) Suppose X∼Geom(p). The E(X)=p. True False
The statement "E(X) = p" is false for a geometric distribution.E(X) = np. This is true and can be derived from the properties of the binomial distribution.
For the first statement, if X follows a binomial distribution with parameters n and p, the expected value (mean) of X is given by E(X) = np. This is true and can be derived from the properties of the binomial distribution.
For the second statement, if X follows a geometric distribution with parameter p, the expected value of X is not equal to p. The expected value of a geometric distribution is given by E(X) = 1/p. This can be derived by summing the infinite series associated with the geometric distribution. Therefore, the statement "E(X) = p" is false for a geometric distribution.
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ronald lau, chief engineer at south dakota electronics, has to decide whether to build a new state-of-the-art processing facility. if the new facility works, the company could realize a profit of $200,000. if it fails, south dakota electronics could lose $190,000. at this time, lau estimates a 50% chance that the new process will fail. the other option is to build a pilot plant and then decide whether to build a complete facility. the pilot plant would cost $5,000 to build. lau estimates a 60% chance that the pilot plant will work. if the pilot plant works, there is a 75% probability that the complete plant, if it is built, will also work. if the pilot plant does not work, there is only a 30% chance that the complete project (if it is constructed) will work. lau faces a dilemma. by analyzing this problem, help lau to maximize his expected payoff. what is the best decision you recommend for lau and what is the expected payoff? write your answer in the space below
I recommend that Ronald Lau build the pilot plant first to maximize his expected payoff. The expected payoff for this decision is $55,000.
To help Ronald Lau maximize his expected payoff, we can use decision analysis to evaluate the potential outcomes and probabilities of each decision.
The first decision is whether to build the new facility directly or to build the pilot plant first and then decide whether to build the complete facility.
If the new facility is built directly, the expected payoff is $200,000 × 0.5 + (-$190,000) × 0.5 = $5,000.
If the pilot plant is built first, the expected payoff is:
$5,000 + $200,000 × 0.75 × 0.6 + (-$190,000) × 0.25 × 0.6 = $55,000
or
$5,000 + (-$190,000) × 0.75 × 0.4 + $200,000 × 0.25 × 0.4 = -$45,000
The best decision is to build the pilot plant first since this decision has a higher expected payoff of $55,000 compared to the expected payoff of $5,000 for building the new facility directly.
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Please someone help me
Answer:
(−∞,∞). no solution
Step-by-step explanation:
X^2-3x-88=0 graphing quadratic equations if anyone could help me with this problem and break it down for me so I could understand better would be greatly appreciated
To answer this question we will graph the function:
\(y=x^2-3x-88,\)and the x-coordinates of the x-intercepts of the graph will be the solutions to the given equation.
The graph of the function
\(y=x^2-3x-88\)is:
From the graph, we get that the x-intercepts are (-8,0) and (11,0).
Therefore, the solutions to the given equation are x= -8 and x=11.
Answer: The solutions to the given equation are x= -8 and x=11.
Determine whether the sequence {an} con- verges or diverges when 1. diverges 1 2. converges with limit 2n an 7n-1 3. converges with limit = 0 and if it converges, find the limit. 4. converges with limit 2 5. converges with limit = 7
To determine convergence or divergence, it is necessary to analyze the specific sequence provided. Unfortunately, with the incomplete information given, it is not possible to determine if the sequence converges or diverges.
A sequence {an} converges or diverges, we can examine limit of the sequence as n approaches infinity. In this case, the information provided seems incomplete and some terms might be missing or misplaced, making it difficult to identify the sequence in question.
However, let's discuss the general concepts of convergence and divergence using the terms provided: If a sequence diverges, it means that the limit of the sequence does not exist or approaches infinity as n approaches infinity. In other words, the terms of the sequence do not settle towards a specific value.
If a sequence converges with limit 2n, it means that as n approaches infinity, the terms of the sequence approach 2 times the value of n. If a sequence converges with limit 0, it means that as n approaches infinity, the terms of the sequence approach 0. This indicates that the values of the sequence become smaller and closer to 0 as n increases.
If a sequence converges with limit 2, it means that as n approaches infinity, the terms of the sequence approach the value of 2. If a sequence converges with limit 7, it means that as n approaches infinity, the terms of the sequence approach the value of 7.
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Problem Description: An example of arithmetic progression would be a series of integers (which we will call terms) like: 3, 7, 11, 15, 19, 23, 27, 31, ... Note that 3 is the first term, 7 is the second term, 11 is the 3rd term, etc. 4 is the common difference between any two consecutive terms. Now, if we know that the progression has 100 terms, we would be interested in calculating the 100th term as well as the sum and the float average of all 100 terms. The following formulas can be used to calculate these items: LastTerm = FirstTerm + (NumberOfTerms - 1) x CommonDifference Sum of all terms = NumberOfTerms x (FirstTerm + LastTerm) / 2 Average of all terms = (Sum of all terms) / NumberOf Terms The program should adhere to the following pseudocode: 1. Prompt for and read the first term 2. 3. Prompt for and read the common difference Prompt for and read the number of terms Calculate the last term (see formula above) 4. 5. Calculate the sum of all the terms (see formula above) Calculate the average of all the terms (see formula above) 7. Display the results 6. Your program must match the following sample run (between the lines of dashes). Note that the 3, 3, and 100 on the first three lines were entered by the user. You should also check results for other set of inputs as well. Enter first term: 3 Enter common difference: 3 Enter number of terms: 100 The last term is 300 The sum of all the terms is 15150 The average of all the terms is 151.5
The last term is 300
The sum of all the terms is 15150.0
The average of all the terms is 151.5
Here is an example solution in Python that follows the given pseudocode:
# Prompt for and read the first term
first_term = int(input("Enter first term: "))
# Prompt for and read the common difference
common_difference = int(input("Enter common difference: "))
# Prompt for and read the number of terms
number_of_terms = int(input("Enter number of terms: "))
# Calculate the last term
last_term = first_term + (number_of_terms - 1) * common_difference
# Calculate the sum of all the terms
sum_of_terms = number_of_terms * (first_term + last_term) / 2
# Calculate the average of all the terms
average_of_terms = sum_of_terms / number_of_terms
# Display the results
print("The last term is", last_term)
print("The sum of all the terms is", sum_of_terms)
print("The average of all the terms is", average_of_terms)
If you run this code and enter the values from the sample run (first term: 3, common difference: 3, number of terms: 100), it will produce the following output:
The last term is 300
The sum of all the terms is 15150.0
The average of all the terms is 151.5
The program prompts the user for the first term, common difference, and number of terms. Then it calculates the last term using the given formula. Next, it calculates the sum of all the terms and the average of all the terms using the provided formulas. Finally, it displays the calculated results.
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A pinata spilled open and released 50 pounds of candy.if every child there scooped up 5/7 of a pound of candy,how many kids are there
Answer:
1.42857143
Step-by-step explanation:
Answer:
70
Step-by-step explanation:
In the diagram below AB is parallel to CD. what is the value of y
Answer: 30 degrees ==> C
Step-by-step explanation:
y+150=180 ==> 150 is the alternate interior angle of angle y's supplementary angle. So, these two angles add up to 180.
y=30 degrees ==> C
Please help :(... when I posted this with 50 points someone gave me incorrect answers..
Answer:
22)43300000, 23)~7, 24)~20
Step-by-step explanation:
22)6.48*10^(7)-(2.15*10^(7))=4.33*10^7 (or 43300000)
23)2.95*10^6=2950000, 2.15*10^7=21500000, 21500000/2950000=~7
24)1.3*10^9=130000000, 1300000000/64800000=~20
Answer:
Step-by-step explanation:
22. You can write these exponents out if it makes it easier to understand, then convert back into exponential form.
6.48 x 10⁷ = 64800000 France
2.15 x 10⁷ = 21500000 Australia
Subtracting Australia from France = 43300000
Converting back to exponential would be 4.33 x 10⁷
But if you notice both number have the exponent of 10⁷. Since these are both the same, you can just subtract the whole number for Australia from the number for France 6.48 - 2.15 = 4.33
then just put the exponent on the end. 4.33 x 10⁷
23. Again it might be easier to convert to standard numbers first.
Area of Australia = 2.95 x 10⁶ or 2950000
Population = 2.15 x 10⁷ or 21500000
So population per square mile would be population divided by area.
21500000 / 2950000 = 7.3 people per square mile
Now if you look at the two numbers, the exponents are only different by 1. You can easily make the population have the same exponent as the area by moving the decimal place of the whole number
Population 2.15 x 10⁷ is the exact same as 21.5 x 10⁶. Now since both number have the same exponents, you can cancel those out and just divide the whole numbers. 21.5 divided by 2.95 which also equals 7.3.
24. You can look at this the same way.
China population 1.3 x 10⁹ is 1300000000
France population 6.48 x 10⁷ is 64800000
Dividing China by France you get about 20.1 which means China is about 20.1 times great in population than France.
If you use the same method as in question 23, you can change the population of China so the exponent matches that of France.
1.3 x 10⁹ is exactly the same as 130 x 10⁷
Again, since both exponents are the same, you can cancel them out and just divide the whole numbers.
130 / 6.48 which also equals about 20.1
Exercise 3.2.2 Use determinants to find which real val- ues of c make each of the following matrices invertible. [103] a. | 3 -4 C 1 2 5 8 [ 0 C -C b. -1 2 1 IC-C C
The matrix is invertible for all real values of c except 0 and 1.
a. To determine the values of c for which the matrix is invertible, we need to find the determinant of the matrix and set it equal to zero. If the determinant is zero, the matrix is singular and hence not invertible. So, we have:
| 3 -4 C |
| 1 2 5 |
| 8 0 C |
Expanding along the first row, we get:
| 3 -4 C |
| 1 2 5 |
| 8 0 C | = 3| 2 5 | - (-4)| 1 5 | + C| 1 2 |
= 3(2* C - 5* 0) - (-4)(1* C - 5* 8) + C(1* 0 - 2* 8)
= 6C + 164
So, for the matrix to be invertible, we need:
6C + 164 ≠ 0
Solving for c, we get:
C ≠ -164/6
b. Following the same process as above, we have:
| -1 2 1 |
| C -C C-1 |
| C -C C | = -1| -C C-1 | - 2| C C-1 | + 1| C -C |
= -(-C(C-1)* C) - 2(C(C-1)* C) + (C*-C*C)
=\(-2C^3\) + \(2C^2\)
So, for the matrix to be invertible, we need:
\(-2C^3\) + \(2C^2\) ≠ 0
Simplifying, we get:
\(C^2(1-C)\) ≠ 0
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Carl has a new job making $8.25 an hour. He worked 16.75 hours last week. He also
had deductions of 6.25% for Social Security and 1.45% for unemployment insurance.
What was Carl's net pay last week (the amount after deductions)?
Answer:
Step-by-step explanation:
Earnings = 16.75 hours × $8.25/hour = $138.1875
Deductions = 6.5% + 1.45% = 7.95%
net = 92.05% of $138.1875 ≈ $127.20
Find x:
(Round the answer to the nearest tenth if there is a decimal)
Answer:Angle x is congruent with the interior angle opposite side 8 (alternate interior angles)
Use tangent:
tan x = 8/15
x = arctan (8/15)
x = 28.1° (rounded)
Step-by-step explanation:
21. Given directed line segment WV , find the coordinates of R
such that the ratio of WR to RV is 3:4. Plot point R.
Answer:
\(R\left(\frac {4x_1+3x_2}{7} , \frac {4y_1+3y_2}{7}\right)\)
Step-by-step explanation:
Let the coordinate of the points W, V and R are \((x_1,y_1), (x_2,y_2),\) and \((x_s,y_s)\)respectively.
The coordinate of the section point, \((x_s,y_s),\) which divides the line joining the two points \((x_1,y_1)\) and \((x_2,y_2)\) in the ration \(m:n\) is
\(x_s=\frac {nx_1+mx_2}{m+n}\) and
\(y_s=\frac {ny_1+my_2}{m+n}\).
The given ration is, \(m:n=3:4\)
\(R(x_s,y_s)=R\left(\frac {nx_1+mx_2}{m+n} , \frac {ny_1+my_2}{m+n}\right)\)
\(=R\left(\frac {4x_1+3x_2}{7} , \frac {4y_1+3y_2}{7}\right)\).
The exact point can be determined by putting the value of the exact coordinate in the above-obtained formula.
Help plz man suiiiiii
Answer:
0.2
Number 2 dont know
.50
.70
.75
Step-by-step explanation:
What are the solutions to the following system of equations?
2x − y = 6
y = x2 − 9
(3, 0) and (−1, −8)
(3, 0) and (4, 2)
(−3, 0) and (−1, −8)
(−3, 0) and (4, 2)
Step-by-step explanation:
2x-y=6
+ -2x+y=-9
-2/-2y=-3/-2
y=3/2
Answer:
A
Step-by-step explanation:
Assume that all grade point averages are to be standardized on a scale between 0 and 4. How many grade-point averages must be obtained so that the sample mean is within .02 of the population mean
Therefore, we would need to obtain at least 9604 grade-point averages to ensure that the sample mean is within 0.02 of the population mean with 95% confidence.
To determine the required sample size, we need to use the formula n = [(z * σ) / E]^2, where z is the z-score for the desired level of confidence (e.g. 1.96 for 95%), σ is the standard deviation of the population (which we don't know, so we can use a conservative estimate of 1), and E is the desired margin of error (0.02 in this case). Plugging in these values, we get n = [(1.96 * 1) / 0.02]^2 = 9604. So we would need to obtain at least 9604 grade-point averages to ensure that the sample mean is within 0.02 of the population mean with 95% confidence.
To determine the required sample size for standardizing grade point averages on a scale between 0 and 4 with a margin of error of 0.02, we can use the formula n = [(z * σ) / E]^2, where z is the z-score for the desired level of confidence, σ is the standard deviation of the population, and E is the desired margin of error. Assuming a 95% confidence level and a conservative estimate of σ = 1, we find that we would need at least 9604 grade-point averages to ensure that the sample mean is within 0.02 of the population mean.
Therefore, we would need to obtain at least 9604 grade-point averages to ensure that the sample mean is within 0.02 of the population mean with 95% confidence.
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How many simple random samples of size 3 can be selected from a population of size 7.
By using combination, it can be obtained that
Number of simple random samples of size 3 that can be selected from a population of size 7 = 35
What is combination?
Combination determines the number of arrangements that can be made from a collection of objects when the order of arrangement is not taken into account.
Here, concept of combination is used
Number of simple random samples of size 3 that can be selected from a population of size 7 = \({7 \choose 3}\) = 35
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the taxi and takeoff time for commercial jets is a random variable x with a mean of 8.3 minutes and a standard deviation of 2.3 minutes. assume that the distribution of taxi and takeoff times is approximately normal. you may assume that the jets are lined up on a runway so that one taxies and takes off immediately after the other, and that they take off one at a time on a given runway.
The probability comes out to be 0.2296
We need to calculate the probability of each jet waiting at least 10 minutes before takeoff.
P(X≥10)=?
Let Z be the standard normal variable.
Z=(X-μ)/σ
Where μ is the mean of the taxi and take-off time for commercial jets and σ is the standard deviation of the taxi and takeoff time for commercial jets.
Z=(X-8.3)/2.3
Using the z-score formula, Z=(X-μ)/σ, we can standardize the value of the variable X to get its respective z-score value, z.
With a mean of 8.3 and a standard deviation of 2.3, the standardized score for a taxi and takeoff time of 10 is:
z=(10-8.3)/2.3 = 0.73913
The probability of a jet waiting at least 10 minutes before takeoff can be calculated as follows:
P(X≥10) = P(Z≥0.73913)
The probability of a standard normal random variable z is greater than or equal to 0.73913 is:
1 - Φ(0.73913)
where Φ(z) is the standard normal distribution function.
Using a standard normal distribution table or calculator, we find that:
Φ(0.73913) = 0.7704
Therefore: P(X≥10) = P(Z≥0.73913)= 1 - Φ(0.73913)= 1 - 0.7704= 0.2296
Thus, the probability of each jet waiting at least 10 minutes before takeoff is 0.2296.
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I WILL NAME YOU BRAINLIEST AND GIVE YOU ALL MY POINTS IF YOU SOLVE THIS!!!!! In the diagram, each shape has a value and the sums of the shapes in each of the first three rows is given. Find the sum of the shapes in the fourth row.
Answer:
27
Step-by-step explanation:
ez
Answer:
26
Step-by-step explanation:
Square=5
Circle=7
Triangle=4
Do the math to check for yourselves.
The table below shows the results of a survey that asked 1052 adults from a certain country if they favored or opposed a tax to fund education. A person is selected at
random. Complete parts (a) through (c).
(a) Find the probability that the person opposed the tax or is female.
P(opposed the tax or is female) =
(Round to the nearest thousandth as needed.)
(b) Find the probability that the person supports the tax or is male.
P(supports the tax or is male) =
(Round to the nearest thousandth as needed.)
(c) Find the probability that the person is not unsure or is female.
P(is not unsure or is female)=
(Round to the nearest thousandth as needed.)
The complete options are P(opposed the tax or is female) = 0.28, b. P(supports the tax or is male) = 0.15, c. P(is not unsure or is female) 0.025.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
(a) The probability that the person opposed the tax or is female.
P(opposed the tax or is female) = 298 / 1052 = 0.28
(b) The probability that the person supports the tax or is male.
P(supports the tax or is male) = 168/1052 = 0.15
(c) The probability that the person is not unsure or is female.
P(is not unsure or is female) = 27 / 1052 = 0.025
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If x = 3 , solve for y.
y = 2 * 3 ^ 3
Next, solve the equation using order of operations.
Exponents first.
y =2*[?]
Answer:
If $x=3$, then $y=2*3^{3}$. Using order of operations, we evaluate the exponent first, then perform the multiplication:
\begin{align*}
y &= 2 * 3^{3} \\
&= 2 * 27 \\
&= 54
\end{align*}
Therefore, $y=54$.
calculate the discount factor for one period for an investment given a rate of return equal to 6 percent.
Therefore, the discount factor for one period with a rate of return of 6 percent is approximately 0.9434.
To calculate the discount factor for one period with a rate of return equal to 6 percent, you can use the formula:
Discount Factor = 1 / (1 + Rate of Return)
Substituting the rate of return of 6 percent (0.06) into the formula:
Discount Factor = 1 / (1 + 0.06) = 1 / 1.06 ≈ 0.9434
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please somebody i need help with this question :c
A rectangular prism is completely packed with 84 cubes of edge length fraction 1 over 3 inch, without any gap or overlap. Which of these best describes the volume of this rectangular prism?
Step-by-step explanation:
The volume of a cube is s^3 where s is the length of a side..
So If you have 84 cubes with sides of 1/3 in the total volume is:
v=84(1/3)^3 in^3
v=84/27 in^3
v=28/9 in^3
V=3.11 in^3 (to nearest hundredth of a cubic inch)
If the company had $4000 worth of office supplies at the beginning of the period. What is the entry required if we find that at the end of the period we have $3900 of supplies remaining.
The entry required to account for the change in office supplies would depend on the accounting method used. Assuming the company follows the periodic inventory system, where office supplies are expensed as they are used, the entry would be as follows:
At the beginning of the period:
Debit: Office Supplies Expense - $4,000
Credit: Office Supplies - $4,000
At the end of the period:
Debit: Office Supplies - $3,900
Credit: Office Supplies Expense - $3,900
Explanation:
1. At the beginning of the period, the company records the office supplies as an asset (Office Supplies) and recognizes an expense (Office Supplies Expense) for the same amount. This reduces the value of the asset and reflects the cost of supplies used during the period.
2. At the end of the period, when it is determined that $3,900 worth of supplies remains, the company adjusts the office supplies account by reducing it by the remaining amount. This adjustment is necessary to reflect the correct value of supplies on hand at the end of the period.
The entry ensures that the net effect of the transactions is an expense of $100 ($4,000 - $3,900), which represents the cost of supplies consumed during the period.