-12 divided by 3 5/9
your answer is 3.375
Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and a standard deviation σ=20. Find the probability that a randomly selected adult has an IQ less than 128.
The probability that the IQ is less than 128 is 0.91924
How to determine the probability?The given parameters about the distribution are
Mean value of the set of data, μ = 100Standard deviation value of the set of data σ = 20IQ value, x = 128The z-score of the data value is calculated as
z = (x - μ)/σ
Substitute the given parameters in the above equation
z = (128 - 100)/20
Evaluate
z = 1.4
The probability that the IQ is less than 128 is then calculated as:
P(x < 128) = P(z < 1.4)
From the z table of probabilities, we have;
P(x < 128) = 0.91924
Hence, the probability is 0.91924
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the receipt you are using indicate that a mixture should be heated to a temperature of 132F.The mixture is currently at 109F. how many more degrees d does the mixture need to be heated
The mixture must be heated an amount of 23 °F to reach a temperature of 132 °F.
How much must the receipt be heated to be at recommended temperature?
Temperature is the measure of how "hot" a system is. Physically speaking, temperature is closely related to atomic and molecular motion within a system. In this problem we find a mixture that must be at a certain temperature, higher than its real one.
Therefore, the amount required to increase the temperature of the mixture is defined by following subtraction:
ΔT = R - r
Where:
ΔT - Temperature difference, in degrees Fahrenheit.r - Real temperature, in degrees Fahrenheit.R - Expected temperature, in degrees Fahrenheit.If we know that r = 109 °F and R = 132 °F, then the temperature difference is:
ΔT = 132 °F - 109 °F
ΔT = 23 °F
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What is the value of y in the triangle shown below?
Answer:
Step-by-step explanation:
sinθ = opp/hyp
ssin30 = 17 / y
y = 17 / sin30 = 17 /0.5 = 34
What is the domain ?
The domain of the given set of functions is (Alex, Alesia, Bob, Yolanda, Maria , Elvis)
What is Domain ?The collection of all potential inputs for a function is its domain. Think of this box as the f(x) = 2x function. The domain is only the collection of natural numbers when the input values are x = 1,2,3,4,..., and the values that are returned are referred to as the range.
The collection of all a function's outputs is its range. Example: Let's have a look at the function f: A-> B, where f(x) = 2x and A and B each represent a "collection of natural numbers." The domain in this instance is A, and the co-domain is B. The range then appears as the function's output.
The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it may take as input. After we enter an x value, the function outputs this sequence of values.
The domain of the given set of functions is (Alex, Alesia, Bob, Yolanda, Maria , Elvis)
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Which graph represents the function f (x) = StartFraction 1 Over x EndFraction minus 1?
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 0, and the horizontal asymptote is at y = 1.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 0.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = 0.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 0, and the horizontal asymptote is at y = negative 1.
Mark this and return
The correct answer is Option C. The graph represents the function f (x) = StartFraction 1 Over x EndFraction minus 1 is On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = 0.
On a coordinate plane, the graph of a hyperbola is shown.
In quadrant 1, one curve opens up and to the right, while in quadrant 3, the other curve opens down and to the left.
The vertical asymptote is at x = -1, and the horizontal asymptote is at y = 0. This hyperbola is symmetrical across both the x and y axes.
The function f(x) = 1/x - 1 has a vertical asymptote at x = 0 because the denominator approaches zero as x approaches zero.
A fraction with a denominator of zero cannot exist.
The horizontal asymptote of this function is y = -1 because as x approaches infinity or negative infinity, f(x) approaches -1.
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The difference two positive integer is 3. If the smaller is added to the square of the larger the sun is 417 find the integers
Answer:
\(17\) and \(20\).
Step-by-step explanation:
Let \(x\) denote the larger one of the two positive integers (\(x > 0\).) The smaller integer would be \((x - 3)\). The square of the larger integer would be \(x^{2}\).
The sum of the smaller integer and the square of the larger integer is \((x^{2} + (x - 3))\). If this sum is equal to \(417\), then:
\(x^{2} + x - 3 = 417\).
\(x^{2} + x - 420 = 0\).
Solve this quadratic equation for \(x\) through factorization. Since \(420 = 21 \times 20\):
\(x^{2} + x - (21 \times 20) = 0\).
\(x^{2} + 21\, x - 20\, x + (21)\, (-20) = 0\).
\((x + 21)\, (x - 20) = 0\).
Thus, either \(x = 20\) or \(x = (-21)\) by the Factor Theorem. However, since \(x > 0\) (the two integers are both positive,) only \(x = 20\) is a valid solution.
Hence, the larger one of the two integers would be \(20\). The smaller one of the two integers would be \((x - 3) = (20 - 3) = 17\).
Factor the expression 8x + 36
Answer:
4 (2x +9)
Step-by-step explanation:
Let me know if I'm wrong pls
A tank is full of water. Find the work (in ft-lb) required to pump the water out of the spout. Use the fact that water weighs 62.5 lb/ft3. (Round your answer to the nearest whole number.) 3 ft6 ft12 ft A frustum of a cone with a spout is given. The smaller radius is 3 ft, the larger radius is 6 ft, and the height is 12 ft.
The work required to pump the water out of the spout is approximately 64,307,077 ft-lb
To find the work required to pump the water out of the spout, we need to calculate the weight of the water in the tank and then convert it to work using the formula: work = force × distance.
First, let's calculate the volume of water in the tank. The frustum of a cone can be represented by the formula: V = (1/3)πh(r1² + r2² + r1r2), where r1 and r2 are the radii of the two bases and h is the height.
Given r1 = 3 ft, r2 = 6 ft, and h = 12 ft, we can calculate the volume:
V = (1/3)π(12)(9 + 36 + 18) = 270π ft³
Now, we can calculate the weight of the water using the density of water:
Weight = density × volume = 62.5 lb/ft³ × 270π ft³ ≈ 53125π lb
Next, we convert the weight to force by multiplying it by the acceleration due to gravity (32.2 ft/s²):
Force = Weight × acceleration due to gravity = 53125π lb × 32.2 ft/s² ≈ 1709125π lb·ft/s²
Finally, we can calculate the work by multiplying the force by the distance. Since the water is being pumped out of the spout, the distance is equal to the height of the frustum, which is 12 ft:
Work = Force × distance = 1709125π lb·ft/s² × 12 ft ≈ 20509500π lb·ft ≈ 64307077 lb·ft
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Can somebody help me please
Answer:
\( \frac{34.25}{6.5} \)
Among all pairs of numbers whose sum is 24, find a pair whose product is as large as possible. Show the work(the steps)! Write an equation of the corresponding quadratic function. How parabola opens? What is the maximum product? Does this function has a maximum value or the minimum value? Explain. Graph the function and upload the image.
The pair of numbers that yields the maximum product when their sum is 24 is (12, 12), and the maximum product is 144. The corresponding quadratic function is P(x) = -x^2 + 24x, and the parabola opens downwards.
To find a pair of numbers whose sum is 24 and whose product is as large as possible, we can use the concept of maximizing a quadratic function.
Let's denote the two numbers as x and y. We know that x + y = 24. We want to maximize the product xy.
To solve this problem, we can rewrite the equation x + y = 24 as y = 24 - x. Now we can express the product xy in terms of a single variable, x:
P(x) = x(24 - x)
This equation represents a quadratic function. To find the maximum value of the product, we need to determine the vertex of the parabola.
The quadratic function can be rewritten as P(x) = -x^2 + 24x. We recognize that the coefficient of x^2 is negative, which means the parabola opens downwards.
To find the vertex of the parabola, we can use the formula x = -b / (2a), where a = -1 and b = 24. Plugging in these values, we get x = -24 / (2 * -1) = 12.
Substituting the value of x into the equation y = 24 - x, we find y = 24 - 12 = 12.
So the pair of numbers that yields the maximum product is (12, 12). The maximum product is obtained by evaluating the quadratic function at the vertex: P(12) = 12(24 - 12) = 12(12) = 144.
Therefore, the maximum product is 144. This quadratic function has a maximum value because the parabola opens downwards.
To graph the function, you can plot several points and connect them to form a parabolic shape. Here is an uploaded image of the graph of the quadratic function: [Image: Parabola Graph]
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Jim had 360 stamps. He sold 1/3 of them on Monday and 1/4 of the remainder on Tuesday. How many stamps did he sell on Tuesday
During the time Tommy eat two bowls of ice cream, Robert eats three bowls of ice cream. The two boys ten bowls of ice cream in one hour. How many bowls did Tommy eat? Show working
Answer:20
Step-by-step explanation:
The number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has a bell-shaped distribution. This distribution has a mean of 62 and a standard deviation of 11. Using the empirical rule (as presented in the book), what is the approximate percentage of 1-mile long roadways with potholes numbering between 51 and 84?
work out the help of the f/f data of company balabce sheet.inventary turnover -6,capitalturnover 9costof good sold)-2,fixed assets turnover (cost of good sold)-4,gross profit-20%,recievables collection period-2 month,account payble payement period-73 days, gross profit 60000 ,the closing stock was 5000 inexcess of the opening stock
A balance sheet is a financial statement that presents a company's financial position at a specific point in time. It shows the company's assets, liabilities, and equity.
What are the steps for the balance sheet?Here are the steps to compute a balance sheet:
List all the assets: Assets are what the company owns, and they can be classified as current assets or long-term assets. Current assets include cash, accounts receivable, inventory, and prepaid expenses. Long-term assets include property, plant, and equipment, investments, and intangible assets.
Calculate the total value of assets: Add up the value of all the assets listed in step 1.
List all the liabilities: Liabilities are what the company owes to others and can be classified as current liabilities or long-term liabilities. Current liabilities include accounts payable, short-term loans, and accrued expenses. Long-term liabilities include long-term loans and bonds.
Calculate the total value of liabilities: Add up the value of all the liabilities listed in step 3.
Calculate equity: Equity is the difference between the assets and liabilities. It can be calculated as Total Assets minus Total Liabilities.
List equity: Write down the equity value calculated in step 5.
Add up the total liabilities and equity: This should be equal to the total assets calculated in step 2.
The balance sheet formula is:
Assets = Liabilities + Equity
By following the above steps, you can compute a balance sheet for a company. It is important to note that the balance sheet is a snapshot of the company's financial position at a specific point in time and should be updated regularly.
P.S: An overview was given due to your incomplete information.
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HELP! please help me choose these correctly, can be more than one
The quadrilateral is the shape that is described here
How to know it is a quadrilateralThe quadrilateral when summed up would be = 360
45 + 146 + 60 + 109 = 360
What is a quadrilateralA quadrilateral is a geometric shape that has four straight sides and four angles. It is a two-dimensional figure that can be formed by connecting four non-collinear points. The angles of a quadrilateral add up to 360 degrees. Some examples of quadrilaterals include squares, rectangles, parallelograms, trapezoids, and rhombuses.
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Which point is a solution to the linear inequality y < -1/2
X + 2?
Answer:
This is the best answer I could find but it may be incorrect (3,-2)
Shannon started a savings account by putting in $25. On the 1st week shedeposited $15 and plans to continue depositing $15 each week.What is the recursive formula for the sequence represented by Shannon'sdeposits.
We have a sequence where we know that the initial term a0 is 25.
\(a_0=25\)Then, each term adds the common difference of 15, so we can write:
\(a_n=a_{n-1}+15\)The recursive formula for this sequence, representing how much she has in her savings account, is a(n) = a(n-1) + 15.
To find the explicit formula, we relate each term to the first term in order to find the relation:
\(\begin{gathered} a_1=a_0+15=25+15 \\ a_2=a_1+15=(25+15)+15=25+2\cdot15 \\ a_n=25+n\cdot15=25+15n_{} \end{gathered}\)Then, the explicit formula is a(n) = 25 + 15n.
Answer:
Recursive formula: a(n) = a(n-1) + 15
Explicit formula: a(n) = 25 + 15n
Solve.
x+3.5=413
x=45
x=56
x=476
I don't know.
Two or more expressions with an equal sign is called as Equation.The value of x is 409.5 for equation x+3.5=413.
What is Equation?Two or more expressions with an equal sign is called as Equation.
The given equation is
x+3.5=413
We need to separate the variable on one side.
Subtract 3.5 on both sides.
x+3.5-3.5=413-3.5
x=409.5.
Therefore the value of x is 409.5.
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The stock of Company A gained $0.98 throughout the day and ended
at a value of $98.98. By what percentage did the stock rise?
Answer:
.99% increase. I dont know if you round up to 1% or its just .99
Step-by-step explanation:
98.98+.98=99.96.
created a ratio of 99.96/98.98
Then, simplified it
Kelli had $ 0.55 to buy a sandwich. Gustavo had $ 1.64. They decided to buy a snack together and share it. How much money do they have between the two of them? Use models to solve the problem.
Help me plz
20 points if u do
Answer:
$1.09 per sandwich
Step-by-step explanation:
$1.64-0.55 = $1.09 per sandwich
Lorraine prepared a 2.5-gallon pot filled with tomatoes to be canned in jars. Each jar will hold 1.25 quarts of tomatoes. If 1 gallon equals 4 quarts, how many jars can Lorraine fill?
4 jars
5 jars
8 jars
10 jars
Answer:
(c) 8 jars
Step-by-step explanation:
You want to know the number of 1.25 quart jars that can be filled from a 2.5 gallon container.
JarsThe number of jars can be found from ...
(2.5 gal) × (4 qt/gal) × (1 jar)/(1.25 qt) = (2.5·4/1.25) jars = 8 jars
Lorraine can fill 8 jars from the 2.5 gallon pot.
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Jeremiah has slept one hour this week. He will sleep 2 hrs per night. How many days will he have slept in 49 hrs?
Answer:
24.5 days i believe
in this figure below triangle GHI is similar to Triangle MHL what is the distance between M and H 12 16 24 or 27
I'll mark anyone who answers this question brainliest please help I'm about to fail
The distance between M and H is given as follows:
x = 21.3.
What are similar triangles?Similar triangles are triangles that share these two features presented as follows:
Congruent angle measures.Proportional side lengths.The proportional relationship between the side lengths is given as follows:
x/18 = 24/16
Applying cross multiplication, the distance between M and H is obtained as follows:
16x = 24(18)
x = 24 x 18/16
x = 27.
Missing InformationThe diagram is given by the image presented at the end of the answer.
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(-2+3i)(1-2i) multiply
Answer:
The answer is
→ \(4 + 7i\)
Step-by-step explanation:
\(((-2) + (3 * i)) * (1 - (2 * i)) = 4+7i\)
Therefore, \(4+7i\) is your answer.
Hope this helped! :^)
⭐Brainliest will be appreciated!⭐
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- ✨7272033Alt✨
Submitted on 4/22/2022 at 12:39 PM
(To avoid plagarism, by users whom decide to copy.)
See screenshots below to prove my point that \(4+7i\) is your answer...
What is the domain of the function below?
f(x) = -3x³ + 2x² - 5
(-∞, 0.444)
[0, ∞)
(-∞, 0)
(-∞, ∞)
The domain of the function f(x) = -3x³ + 2x² - 5 is (-∞, ∞).
What is domain?
The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it may take as input. After we enter an x value, the function outputs this sequence of values.
The domain of a function is the set of input or argument values for which the function is real and defined
The function has no undefined points nor domain constraints. Therefore, the domain is \($$-\infty < x < \infty$$\).
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A scientist is working with two different concentrations of hydrochloric acid (HCI). One bottle is
80% HCI, and the other is 50% HCI. For their experiment they need 1 liter of 70% HCI.
How many liters of the 80% solution do they need?
How many liters of the 50% solution?
The liters of 80% material is 2/3 liters.
The liters of the 50% solution is 1/3 liters.
How to illustrate the information?Based on the information, the scientist is working with two different concentrations of hydrochloric acid (HCI).
Let x = volume of 80%
Let 1 -x =volume of 50%
Therefore, the expression to illustrate the information will be:
80x + 50 × (1 - x) = 70
80x + 50 - 50x = 70
30x = 70 - 50
30x = 20
Divide
x = 20/30
x = 2/3
Therefore there are 2/3 liters of 80% material
The liters for the 50% solution will be 2/3 subtracted from 1. The 2/3 implies that for the 80% material. This will be:
= 1 - 2/3
= 1/3
There are also 1/3 liters of 50% material.
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5. Determine the value of t4 in an arithmetic sequence given that t₁ = 11 and S9 = 243.
The value of t₄ in the arithmetic sequence is 103/8.To determine the value of t₄ in an arithmetic sequence, we need to use the given information that t₁ = 11 (the first term of the sequence) and S₉ = 243 (the sum of the first 9 terms of the sequence).
We know that the formula for the sum of an arithmetic sequence is Sₙ = (n/2)(2a + (n-1)d), where Sₙ is the sum, a is the first term, n is the number of terms, and d is the common difference.
From the given information, we have S₉ = 243, a = 11, and n = 9. Plugging these values into the sum formula, we can solve for d:
243 = (9/2)(2(11) + (9-1)d)
243 = 9(22 + 8d)
243 = 198 + 72d
45 = 72d
d = 45/72 = 5/8
Now that we have the common difference, we can find t₄ using the formula for the nth term of an arithmetic sequence:
tₙ = a + (n-1)d
t₄ = 11 + (4-1)(5/8)
t₄ = 11 + 3(5/8)
t₄ = 11 + 15/8
t₄ = 88/8 + 15/8
t₄ = 103/8
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PLS HELP!!! I am gonna fail
Answer:
Help with what? You didn't post anything.
Step-by-step explanation:
In a year when the maximum income for Social Security was $118,500, Bart worked at two jobs. In one job he earned $99,112. In his second job, he earned $56,222.
Both of his employers took out Social Security tax. As a result, Bart had paid excess Social Security tax, and the government must return some of it to him. How
much does the government owe him for excess Social Security paid?
Answer:
The government owes Bart the excess Social Security tax that he paid, which is the amount of tax he paid on his income above the maximum income for Social Security. In this case, that would be $118,500 (the maximum income for Social Security) minus $99,112 (what he earned at his first job) minus $56,222 (what he earned at his second job) = $13,166. So the government owes Bart $13,166 for the excess Social Security tax he paid.
Answer:
Step-by-step explanation:
He earned a total of 155,334.
99112 plus 56222.
subtract the max income from the income total
155,334 - 118500 = 36834
He is owed the social security tax he paid on 36834.
The problem does not give the social security rate.