Answer:
24:37
Simplify the ratio by dividing by the GCF, in this case, two.
\(\frac{48 / 2}{74 / 2} = \frac{24}{37}~also~known~as~24:37\)
can ratio be defined as for every hundred?
Answer:
A ratio is defined as the comparison of one size of a number to the size of another number. A most convenient number to use when comparing numbers is 100. Ratios in which one number is compared to 100 are called percents. The word percent comes from the Latin word per centum.Convert to fraction (mixed number): 2.75 = 2 + 0.75Convert to decimal: 275% = 2.75Problem: Convert 275% to a decimal and to a simplified fraction
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3. JH is the geometric mean of which two segments?
The geometric mean of two segments to know the lengths of AB and BC and then calculate the square root of their product to obtain the length of JH.
The geometric mean of two segments is the square root of their product. of segment JH, it is the geometric mean of two segments that are squared to obtain the product.
Let's say the two segments are AB and BC. Then, JH is the geometric mean of AB and BC if the following relationship holds:
JH² = AB × BC
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find the value of the cone
Step 1: Problem
Calculate the volume of the figure below
Step 2: Concept
\(\text{Volume of a cone = }\frac{1}{3}\text{ }\pi r^2h\)Step 3: Method
Given data
\(\begin{gathered} \text{Diameter = 5in} \\ \text{Radius r = }\frac{Diameter}{2}\text{ = }\frac{5}{2}\text{ = 2.5 in} \\ Heighth=8in^{}^{} \\ \pi\text{ = 3.14} \end{gathered}\)Next substitute the given data.
\(\begin{gathered} \text{Volume of a cone = }\frac{1}{3}\pi r^2h \\ =\text{ }\frac{1}{3}\text{ }\times\text{ 3.14 }\times2.5^2\text{ }\times\text{ 8} \\ =\text{ }\frac{\text{ 1 }\times\text{ 3.14 }\times\text{ 6,25 }\times\text{ 8}}{3} \\ =\text{ }\frac{157}{3} \\ =52.33in^3^{} \end{gathered}\)Step 4: Final answer
The volume = 52.33
factor and solve if necessary
y-5y-36
Answer:
Step-by-step explanation:
-4(y+9)
A large consumer goods company ran a television advertisement for one of its soap productions. On the basis of a survey that was conducted, probabilities were assigned to the following events. B = individual purchased the product S = individual recalls seeing the advertisement B ∩ S = individual purchased the product and recalls seeing the advertisement The probabilities assigned were P (B) = 0.20, P (S) = 0.40, P (B ∩ S) = 0.12. What is the probability that an individual purchased or recalls seeing the advertisement.
Answer:
\(P(B\ u\ S) = 0.48\)
Step-by-step explanation:
Given
\(P(S) = 0.40\)
\(P(B) = 0.20\)
\(P(B\ n\ S) = 0.12\)
Required
Determine \(P(B\ u\ S)\)
In probability, the relationship between the given parameters and the required is:
\(P(B\ u\ S) = P(S) + P(B) - P(B\ n\ S)\)
Substitute values for P(S), P(B) and P(B n S)
\(P(B\ u\ S) = 0.40 + 0.20 - 0.12\)
\(P(B\ u\ S) = 0.48\)
Hence;
The probability that of purchasing or recalling is 0.48
Find the domain of the graphed function.
10
-104
A. -4sxs8
B. -4 sxs 9
C. xis all real numbers.
D. X2-4
Answer:
Answer would be B.
Step-by-step explanation:
there are two dors located at x= -4 and x=9
Solve the inequality c+2/5≥11/5, and write the solution in interval notation
Answer:
[9/5,∞)
Step-by-step explanation:
Rearrange variables to the left side of the equation: c ≥ 11/5-2/5
Calculate: c ≥ 9/5
Express solution set in interval notation: [9/5,∞)
Find the value of n for which the division of x^2n-1 by x+3 leave remainder of -80.
The value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80 is n = 1.
To find the value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80, we can use polynomial long division. Let's perform the division step by step:
Write the dividend and divisor in polynomial long division format:
_________________________
x + 3 │ x^(2n-1) + 0x^(2n-2) + 0x^(2n-3) + ...
Divide the leading term of the dividend (x^(2n-1)) by the leading term of the divisor (x). The result is x^(2n-1)/x = x^(2n-2).
Multiply the divisor (x + 3) by the quotient obtained in the previous step (x^(2n-2)). The result is x^(2n-2) * (x + 3) = x^(2n-1) + 3x^(2n-2).
Subtract the result obtained in step 3 from the original dividend:
x^(2n-1) + 0x^(2n-2) + 0x^(2n-3) + ... - (x^(2n-1) + 3x^(2n-2)) = -3x^(2n-2) + 0x^(2n-3) + ...
Bring down the next term of the dividend (which is 0x^(2n-3)) and repeat steps 2-4 until the remainder is constant.
Since we are given that the remainder is -80, we can set the remainder equal to -80 and solve for 'n'.
-3x^(2n-2) + 0x^(2n-3) + ... = -80
Since the remainder is constant (-80), it means that all the terms with x have been canceled out in the division process. Therefore, we can deduce that the highest power of x in the divisor (x + 3) is 0.
This implies that x^(2n-2) = 0, and for any value of 'n', the exponent 2n-2 should be equal to zero. Solving this equation:
2n-2 = 0
2n = 2
n = 1
Therefore, the value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80 is n = 1.
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PLEASE HELP
The table of values represents an exponential function.
What is the y-coordinate of -3f(x-1) when x = 0
Enter your answer in the box.
SEE PHOTO
The y-coordinate of -3f(x-1) when x = 0 is -63
What is the y-coordinate of -3f(x-1) when x = 0From the question, we have the following parameters that can be used in our computation:
The table of values
So, we have
-3f(x - 1)
When x = 0, we have
y = -3f(0 - 1)
This gives
y = -3f(-1)
From the table, we have
y = -3 * 21
Evaluate
y = -63
Hence, the y-coordinate is -63
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Based on the supply graph and the demand graph shown above, what is the price at the point of equilibrium?
Hint: Think about the point where they both meet. For example, if you were to place the graphs on top of each other, what would be the point of intersection?
Type the correct number below without the dollar sign.
Based on the supply graph and demand graph shown above, the price at the point of equilibrium is $ 30.
Demand refers to quantity of a commodity that the consumers are willing to, able to purchase at a given price during a given period of time. Supply refers to quantity of a commodity that the producers are willing to, able to offer for sale at a given price during a given period of time.
Demand curve slopes downward due to inverse relationship between price and quantity demanded whereas supply curve slopes upward due to direct relationship between quantity supplied and price. When both demand and supply curve intersect with each other balance is achieved. Intersection point between demand and supply curve is known as equilibrium.
At this point when prices are equal is known as equilibrium price and when quantiy demanded or supplied are equal it is known as equilibrium quantity. When we combine the given graph. Equilibrium is achieved at a point when price is equal to $ 30 and quantity is equal to 20 units.
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2. The cost of 2 hours of math tutoring is $50.00
What is the constant of proportionality?
How much would if the student was tutored an hour a day for 5 days?
Answer:
Thank you
Step-by-step explanation:
:)
Answer:
25 per hour, 125 for an hour for 5 days
Step-by-step explanation:
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
An open circle at 5 and a bold line starting at 5 and pointing to the right (>) is the correct representations of the inequality
How to identify the correct representations of the inequality?An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value e.g 5 < 6, x ≥ 2, etc.
Given: the inequality –3(2x – 5) < 5(2 – x)
First, we have to solve for x in the inequality
–3(2x – 5) < 5(2 – x)
Clear the parenthesis:
-6x + 15 < 10 - 5x
Collect like terms:
-6x + 5x < 10 - 15
-x < -5
Divide both sides by -1:
x > 5 ( Note: Dividing both sides by -1 will change the < to > )
This is what will determine our answer
Since our answer is x > 5. An open circle will be at 5 and a bold line starts at 5 and is pointing to the right (>)
Therefore, the correct representations of the inequality is an open circle is at 5 and a bold line starts at 5 and is pointing to the right
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Given the inscribed polygon, find the value of both x .and y.
X =
y =
please help!!!
Stained glass slope graphing linear equation Description: Identify the slope and y-intercept of the linear equation. Then, graph the linear equations on the same coordinate plane. Make sure to extend the lines to the edge of the graph paper! Darken each line when finished. Color however YOU want to create a stained glass effect
Y = mx + b, where m denotes the slope and b the y-intercept, is how the equation of the line is expressed in the slope-intercept form. We can see that the y-intercept of the line in our equation, y = 7 x + 4, is 4.
What is meant by slope-intercept?When the slope of the line being studied is known, and the provided point is also the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b). The y value of the y intercept point is represented by b in the equation. Given the slope of the line and the intercept it forms with the y-axis, the slope intercept form in mathematics is one of the forms used to determine the equation of a straight line. Y = mx + b is the slope intercept form, where m is the slope of the straight line and b is the y-intercept.To learn more about slope-intercept, refer to:
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PLZZZZZ HELP ME WHOEVER ANSWERS FIRST CORRECTLY I WILL MAKE BRAINLIESTTTT
Answer:
A-D E-B F-C
Step-by-step explanation:
a cone has the diameter of 3 inches. the cone holds 12 cubic inches of water. to the nearest inch, what is the height of the cone?
Answer:
The height is about 5 inches.
Step-by-step explanation:
The volume for a cone is \(\frac{1}{3}\) × π × r² × h
The radius of the cone is 1.5
12= \(\frac{1}{3}\) × π × 1.5² × h
12= \(\frac{1}{3}\) × π × 2.25 × h
12=0.75×π×h
Divide both sides by 0.75
16=π×h
Divide both sides by π
5≈h
The height is about 5 inches.
Round your answer to the nearest tenth.
Enter your answer and also show your work to demonstrate how you determined your answer. Review the rubric below to see how you will be evaluated.
The circumference of the given circle with radius of 2.9 inches is; 18 inches
What is the Circumference of a Circle?The formula for circumference of a Circle is;
C = 2πr
where;
r is radius
π is a constant = 3.14
From the given circle, we are given that;
Radius; r = 2.9 inches
Thus;
Circumference = 2 * 3.14 * 2.9
Circumference = 18.212 inches
Rounding up to the nearest while number gives us;
Circumference = 18 inches
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coordinate plane notes pratice
help pleaseeee tyyyvm :)
The graph in which point are plotted is given below and Point D and F lie on Y axis and X axis respectively other lie on the different quadrant
What does a math quadrant mean?
The term "quadrant" refers to each of the four divisions of the coordinate plane. Furthermore, when we speak of the sections, we also mean the sections as the coordinate axes split them. This is where the x-axis is, and this is where the y-axis is on the up-down axis. On a coordinate plane, it divides the space into four parts, as you can see.
Point A (-5,4)
Lies in 2 quadrant of the graph
Point B (-3,-2)
Lies in 3 quadrant of the graph
Point C (4,6)
Lies in 1 quadrant of the graph
Point D (0,-4)
Lies on negative y axis of the graph
Point E (2,-1)
Lies in 4 quadrant of the graph
Point F (1,0)
Lies on positive x axis of the graph
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Please help ASAP. I have been having trouble
Vertical Angles
---Vertical angles are congruent and can often be found where two lines intersect and make an "X" shape.
The vertical angles in this figure are XAW and UAY.
Adjacent angles that are neither complementary nor supplementary
---Adjacent angles are angles that share a line and are, as a result, next to each other.
Two adjacent angles in this figure that are neither complementary nor supplementary are XAW and ZAY.
Supplementary Angles
---Supplementary angles form a straight line, or 180 degree angle.
The supplementary angles in this figure are XAW and WAU.
Complementary Angles
---Complementary angles form a right, or 90 degree angle.
The complementary angles in this figure are XAW and XAZ.
Hope this helps!
Step-by-step explanation:
See image
What is the volume of this triangular pyramid
Answer:
The right triangular pyramid volume is given by the formula V = 1 3 × B × h , where B is the area of the triangular base and h is the height (the distance from the apex to the base).
Step-by-step explanation:
Answer:
192 cubic feet
Step-by-step explanation:
The volume V of a triangular pyramid is given by the formula:
V = (1/3) * base area * height
where base area is the area of the triangular base.
In this case, the triangular base has a length of 8 ft and a width of 8 ft, so it is a square with area:
base area = length * width = 8 ft * 8 ft = 64 sq ft
Substituting the given values into the formula, we get:
V = (1/3) * 64 sq ft * 9 ft
V = 192 cubic feet.
Therefore, the volume of the triangular pyramid is 192 cubic feet.
problem 7-14 the probability distribution for the number of defective items in a random sample is as follows:
x p(x)
0 1
1 0.15
2 13
3 07
4 0.55
calculate
expected value of x =
variance of x=
standard deviation for x=
a) Expected value of x = 2.82
b) Variance of x = 4.4732
c) Standard deviation for x = 2.1145
To find the expected value of x, we need to multiply each value of x by its corresponding probability and then sum the results
E(x) = (0)(1) + (1)(0.15) + (2)(0.13) + (3)(0.07) + (4)(0.55)
= 0 + 0.15 + 0.26 + 0.21 + 2.2
= 2.82
Therefore, the expected value of x is 2.82.
To find the variance of x, we need to first find the squared deviations of each value of x from the expected value
(0 - 2.82)^2(1) + (1 - 2.82)^2(0.15) + (2 - 2.82)^2(0.13) + (3 - 2.82)^2(0.07) + (4 - 2.82)^2(0.55)
= 8.4961
Then, we can calculate the variance as the weighted average of these squared deviations, using the probabilities as weights
Var(x) = 8.4961/1.9
= 4.4732
Therefore, the variance of x is 4.4732.
Finally, the standard deviation of x is the square root of the variance
SD(x) = sqrt(4.4732)
= 2.1145
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Determine the value of h in the equation 1/5+h=7/5. 6/5 8/25 6/25 8/5
The value of {h} is equivalent to 6/5.
What is a function?A function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that function takes.
Given is the function as follows -
(1/5) + h = (7/5)
We can write the function as -
(1/5) + h = (7/5)
h = 7/5 - 1/5
h = (7 - 1)/5
h = 6/5
Therefore, the value of {h} is equivalent to 6/5.
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A company makes hot dogs for sale at IU home games. Each hot dog costs $4 to make and sells for $12. Any unsold hot dog at the end of the game will be bought by a local food pantry for $1
for immediate distribution to the homeless. Based on past games, the company estimates the following demands with the corresponding probabilities. What is the expected monetary value if the company makes 2000 hot dogs? Round your answer to the nearest dollar.
the expected monetary value if the company makes 2000 hot dogs is $12,600
We must take into account the potential outcomes and their probabilities in order to determine the expected monetary value (EMV). First, let's determine the likelihood of each demand scenario:
P(demand = 1000) = 0.2 if there is a demand for 1000 hot dogs.
P(demand = 1500) = 0.5 if there is a demand for 1500 hot dogs.
P(demand = 2000) = 0.2 if there is a demand for 2000 hot dogs.
P(demand = 2500) = 0.1 if there is a demand for 2500 hot dogs.
Now that we have each demand situation, we can determine the revenue and cost:
Revenue = $12 x 1000 = $12,000 if there is a demand for 1000 hot dogs.
Cost = $4 x 1000 = $4,000
Cost minus Revenue equals $8,000 in profit.
If there are 1500 hot dogs needed:
Revenue: $18,000 ($12 x 1500).
Cost = $4 x 1500 = $6,000
Profit equals $12,000. Cost equals $12,000.
If there are 2000 hot dogs needed:
Revenue: $12 x 2000 = $24,000
Cost = $4 x 2000 = $8,000
Revenue minus Expense equals $16,000 in profit.
If there are 2500 hot dogs needed:
Profit = $12 x 2500 = $30,000.
Cost: $8,500 ($4 x 2000 + $1 x 500)
Revenue minus Expense equals $21,500 in profit.
The company will sell 2000 hot dogs for $1 each in the event that there is a demand for 2500 hot dogs, donating the remaining 500 to the neighborhood food pantry.
Last but not least, we can determine the EMV as the total earnings multiplied by the corresponding probabilities:
EMV is equal to P(demand = 1000) times Profit(demand = 1000) plus P(demand = 1500 times Profit(demand = 1500) plus P(demand = 2000 times Profit(demand = 2000) plus P(demand = 2500 times Profit(demand = 2500)
EMV is equal to 0.2% of $8,000, 0.5% of $12,000, 0.2% of $16,000, and 0.1% of $21,500.
EMV = $12,600
Hence, $12,600 is the anticipated financial value if the company produces 2000 hot dogs.
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Find the smallest angle of △BCD. Assume that s is a positive number.
1) Let's assume "s" is equal to 1. As a positive number.
2) This way we can apply the Law of Cosines to find one leg
\(\begin{gathered} d^2=b^2+c^2-2bc\cos (118) \\ d=\sqrt[]{(45)^2+(48)^2-2\cdot(45)(48)\cdot\cos (118)} \\ d=79.73 \end{gathered}\)Having the lengths of all legs, we can make use of the Law of the Sines
\(undefined\)2(7 - 8x) = 32 – 10x
Answer:
14-16x=32-10x
14-6x=32
-6x=18
x=-3
hope this helps
have a good day :)
Step-by-step explanation:
The standard deviation of returns averages28 percent. The options mature in 5 years and the risk-freerate is 2.36 percent. What is the value of e−Rt?
The value of e⁻ᴿᵗ is 0.8886 for the given the standard deviation of returns averages 28 percent with the options mature in 5 years and the risk-free rate is 2.36 percent.
So, the correct option is option ( C).
Exponential function is characterized by rapid increase (as in size or extent) and an exponential growth rate.
We have given that,
standard deviation of returns averages = 28%
options mature, t = 5 years and
Risk-free rate , R = 2.36 percent.
we have to calculate the value of e−Rt.
Exp(-Rt) = e⁻⁽²·³⁶⁾⁵
use exp(value) function to find the value :
=exp(-5 × 2.36%)
= exp(- 0.118 )
=0.8886
Hence, the the value of e⁻ᴿᵗ is 0.8886.
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Complete question:
I. M. Greedy has been granted options on 500,000 shares. The stock is currently trading at $48 a share and the options are at the money. The standard deviation of returns averages 28 percent. The options mature in 5 years and the risk-free rate is 2.36 percent. What is the value of e-rt?
a) .7087
b) .8476
c) .8886
d) .6087
e) .7952
Caroline, krutika and Natasha share some sweets in the ratio 4:5:1
Answer:
Ratio 4 is for Caroline, ratio 5 is for krutika, ratio 1 is for Natasha
What is the ordered pair of your location if you start at (0, 0), move 2 units up, and then move 3 units right?
Answer:
(3,2)
Step-by-step explanation:
Trevor has a rectangular patch of dirt that has a length of 50 feet and a width of 30 feet. He wants to divide this area into two rectangular gardens as shown.
Write an expression to represent the area of the
garden on the left.
B. Write an expression to represent the area of the
garden on the right.
C. If the area of the garden on the left is greater, what
is the difference of the areas of the two gardens? Simplify your answer
Answer:
sweefe
Step-by-step explanation:
EFEFEEa
How do you find a 180 degree angle?
180° angle is a straight line
hope it helps....!!!