Answer:
-1/10
Step-by-step explanation:
1/2-6/10
5/10-6/10
= -1/10
Michael says that the difference between dani’s and raj’s age is proportional to dani’s age. Is Michael correct ?
Answer:
No Michael is not correct.
Step-by-step explanation:
You want the difference between the ages.
Hope I helped.
Answer:
What is their ages?
Step-by-step explanation:
say if Dani is 20 and Raj is 5 then yes, they are proportional
If a fair coin is tossed 8 times, what is the probability, rounded to the nearest
thousandth,of getting at least 6 heads?
The probability of getting at least 6 heads is3/256 or 0.0117
What is probability ?Probability shows possibility to happen an event, it defines that an event will occur or not. The probability varies from 0 to 1.
Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we might discuss the likelihood or likelihood of several outcomes. Statistics is the study of occurrences that follow a probability distribution.
Probability is a measure of how likely something is to occur. Calculating probability involves dividing the total number of outcomes by the number of possible ways an event may occur.
Given that,
A fair coin is tossed = 8 time.
We have to find the probability of getting at least 6 heads.
Since, the probability of getting head, when one coin is tossed = 1/2
And the probability of getting tale = 1/2
The probability of getting head at least 6 times when coin is tossed 8 times can be given as,
The head can come 6 times, then probability = \((1/2)\x^{6} (1/2)\x^{2}\) = (1/2)⁸
The head can come 7 times, then probability = (1/2)⁷(1/2) = (1/2)⁸
The head can come 8 times, then probability = (1/2)⁸
The probability of getting head at least 6 times
= (1/2)⁸ + (1/2)⁸ + (1/2)⁸ = 3(1/2)⁸ = 3/256 = 0.0117
The probability of getting at least 6 heads is3/256 or 0.0117
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Anyone know the answer?
Answer:what answer screenshot glitching
Step-by-step explanation:
Can someone help me please?
ASAP
Answer:
y = 12 x = 12\(\sqrt{3}\)
Step-by-step explanation:
This is a 60, 90, 30. It's a special triangle.
2z = 24
z = 12
If x = z\(\sqrt{3}\)
then x = 12\(\sqrt{3}\)
y = z itself
So y = 12
I need expert answers for this
The last expression finally simplifies to cot β + tan α using quotient identity in trigonometric identities.
How to prove Trigonometric Identities?We want to verify the trigonometric identity;
cos (α - β)/(cos α sin β) = cot β + tan α
Now, according to trigonometric identities in mathematics, we know that;
cos (α - β) = (cos α cos β) + (sin α sin β)
Thus, plugging that back into our left hand side of the main question gives;
[(cos α cos β) + (sin α sin β)]/(cos α sin β)
Rewriting this expression by separating the denominator gives;
[(cos α cos β)/(cos α sin β)] + [(sin α sin β)]/(cos α sin β)
Using quotient identities, this can be simplified to;
cot β + tan α
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solve simultaneously 2x - y = - 10 and 3x + 2y = - 1
The solution to the system of equations is x = -3 and y = -4.
To solve the system of equations:
Equation 1: 2x - y = -10
Equation 2: 3x + 2y = -1
We can use the method of substitution or elimination to find the values of x and y.
Let's use the method of elimination:
Multiply Equation 1 by 2 to make the coefficients of y in both equations equal:
2(2x - y) = 2(-10)
4x - 2y = -20
Now, we can eliminate y by adding Equation 2 and the modified Equation 1:
(3x + 2y) + (4x - 2y) = -1 + (-20)
7x = -21
x = -3
Substitute the value of x into Equation 1 to solve for y:
2(-3) - y = -10
-6 - y = -10
y = -10 + 6
y = -4
Therefore, the solution to the system of equations is x = -3 and y = -4.
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please help picture included:)
Answer:
y = 75
z = 43.3
Step-by-step explanation:
To find the value of y we use the trigonometric identity Sine.
\(sin\ 30 = \frac{y}{150}\\\\y=150*sin30\\y= 75\\\)
Now to find the value of z we can use the trigonometric identity Tangent.
\(tan\ 60=\frac{y}{z}\\\\z=\frac{y}{tan\ 60}\)
We know the value of y is 75 so it becomes,
\(z=\frac{75}{1.732} \\\\z=43.3\)
Answer:
y=-150 ' z = - 468
Step-by-step explanation:
Sin angle = opp/hyp
Cos 30 = y/150
y = 150 ×( cos30)
y= - 150
Tan angles = opp / adj
Tan 60 = - 150 / Z
Z = (-150) / tan 60
Z = (-150) / 0.32
Z= - 468
Read the sentence. "Japanese warrior code was an important code that described how soldiers were to live and act.” What fact best supports this statement?The warrior code helped people understand their roles.
The warrior code can help modern soldiers and armies.
The warrior code is still used in some parts of the world.
The warrior code was a set of rules based on certain beliefs.
Answer:
haha....The warrior code was a set of rules based on certain beliefs.
Can some one help with this problem
Step-by-step explanation:
Area of the trapezoid = height x average of bases
area = 4 x (8+13)/2) = 42 in^2
Area of triangle = 1/2 base * height = 1/2 (13-8) * 4 = 10 in^2
The price of call of duty modern warfare Remastered was reduced from $60 to $45 By what percent was the price of the video game
Answer:
25%
Step-by-step explanation:
$60 times ? = $45
$60 - $45 = $15
$15 were reduced and 15/60 = 25%
Answer: 25%
Step-by-step explanation:
25
Find the volume, in cubic feet, of the composite solid below, which consists of a pyramid sitting on top of a cube. The pyramid has the same base as the cube.
Answer:
2,112 ft³
Step-by-step explanation:
Volume of composite solid = volume of pyramid + volume of cube
✔️Volume of square pyramid = ⅓(a²)*h
Where,
a = 12 ft
h = 8 ft
Plug in the values
Volume of pyramid = ⅓(12²)*8 = 384 ft³
✔️Volume of cube = a³
Where,
a = 12 ft
Plug in the value
Volume of cube = 1728 ft³
✔️Volume of composite solid = 384 + 1728 = 2,112 ft³
A wheel with radius 1 m is rolled in a straight line through one complete revolution on a flat horizontal surface. How many metres did the centre of the wheel travel horizontally from its starting location?
Answer:
6.28 m
Step-by-step explanation:
If a wheel travels with one full revolution, it would have travelled the circumference's distance from it's starting point.
The circumference of a circle is \(2\pi r\)
Let's assume \(\pi\) is 3.14 and solve for the equation.
\(2\cdot3.14\cdot1\\6.28\)
Hope this helped!
1.
Which of the following is acute angle?
State the domain and range for the following relation. Then determine whether the relation represents a function.{(8,-7)}, (9,7), (10,-7),(11,-7)}
Domain: 8, 9, 10, 11.Range: -7, 7 This relation does not represent a function because the same x-value (8, 10, 11) is associated with more than one y-value (-7, 7).
Domain: 8, 9, 10, 11
Range: -7, 7
A function is a relation between a set of inputs and a set of outputs such that each input is associated with exactly one output. This particular relation fails to meet this condition because the domain value 8 is associated with two different range values (-7 and 7). In other words, the same input (8) is associated with two different outputs, which means the relation does not represent a function. The domain of the relation is 8, 9, 10, 11 and the range is -7 and 7. Therefore, this relation does not represent a function because it violates the condition that each input must have one and only one associated output.
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Martin wants to build an additional closet in a corner of his bedroom. Because the closet will be in a corner, only two new walls need to be 1 built . The total length of the two new walls must be 12 m.
Martin wants the length of the closet to be twice as long as the width, as shown in the diagram.
b) Let the function f(l) be the sum of the length and the width. Find the equation for f(1).
c) Graph y = f(l).
d) Find the desired length and width. ile riding a
The relationship between the length & the width of the closet and the length of the wall is an illustration of a linear equation.
The equation for f(l) is: \(f(l) = 1.5l\).The desired length and width are 8m and 4mGiven that:
\(l = 2w\)
Divide both sides by 2
\(w = 0.5l\)
Equation of f(l)
The sum of the length and the width is represented as: f(l).
So, we have:
\(f(l) = l + w\)
Substitute \(w = 0.5l\)
\(f(l) = l + 0.5l\)
\(f(l) = 1.5l\)
See attachment for the graph of f(l)
The desired dimension
From the question, we understand that the total length is 12m.
This means that:
\(f(l) = 12\)
So, we have:
\(1.5l = 12\)
Divide both sides by 1.5
\(l = 8\)
Recall that:
\(w = 0.5l\)
\(w = 0.5 \times 8\)
\(w = 4\)
Hence, the desired length and width are 8m and 4m, respectively.
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Pls help, the question is in the photo.
Tying as a Bundling Strategy
Q1 Table
Ginnie's Gym Refreshment Bar
Hydration Power Drink Satisfying Smoothie
Early price for hydration is $7.00. Early price for smoothie is $5.00.
Late price for hydration is $6.00. Late price for smoothie is $10.00.
Ginnie has observed that her signature item, the Satisfying Smoothie, is very popular with the late-evening crowd at the gym, but it is not so popular with the early crowd. The early and late crowds have only slightly different preferences for her Hydration Power Drink. The gym has a very large clientele, and Ginnie can't always tell who has the late-crowd preference and who has the early-crowd preference. In her graduate MBA class, they have been studying tying as a bundling strategy. Ginnie asked her professor, "Would bundling work for my business?" Her professor said, "I think you told me that the marginal costs for your two products differ significantly, so first, I would recommend that you look at the contribution margin for each. Sometimes, low prices may be more profitable, and sometimes high prices will be more profitable, especially when there are large differences in the price elasticities of demand. Second, think about the example of the Happy Meal. People are really there for the hamburger, and the company is leveraging that one item to sell other parts of the menu. What is your lead product, the item customers can't get elsewhere?"
The MC for Hydration Power Drink is $1.00. The MC for the smoothie is $4.00. What is the contribution margin at each price for each product?
The Hydration Power Drink is the lead product that customers can't get elsewhere, as suggested by Ginnie's professor.
The contribution margin for each product is the difference between the sales price and the variable cost of the product. To calculate the contribution margin for each product at each price, we need to determine the sales price and variable cost of each product.
Tying is a bundling strategy used by businesses where they sell two or more products or services as a package deal. In this case, Ginnie is considering whether tying could work for her business.
She has two products - the Hydration Power Drink and the Satisfying Smoothie. The early price for hydration is $7.00 and the early price for a smoothie is $5.00.
The marginal cost for hydration is $1.00 and the marginal cost for a smoothie is $4.00.
The contribution margin for each product at each price can be calculated as follows:Early price for Hydration Power Drink = $7.00Sales Price = $7.00Variable Cost = $1.00Contribution Margin = $7.00 - $1.00 = $6.00
Early price for Satisfying Smoothie = $5.00Sales Price = $5.00
Variable Cost = $4.00Contribution Margin = $5.00 - $4.00 = $1.00
Late price for Hydration Power Drink = $7.00Sales Price = $7.00
Variable Cost = $1.00
Contribution Margin = $7.00 - $1.00 = $6.00
Late price for Satisfying Smoothie = $7.00
Sales Price = $7.00
Variable Cost = $4.00
Contribution Margin = $7.00 - $4.00 = $3.00
From the above calculations
, we can see that the contribution margin for the Hydration Power Drink is higher than that of the Satisfying Smoothie.
This means that bundling the Satisfying Smoothie with the Hydration Power Drink could be an effective bundling strategy for Ginnie's business as it will encourage customers to buy both products together, thus increasing sales revenue and profitability.
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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?
Please help me quick
Show how you got the answer
The solution to the inequality is z > -14.
What is inequality?The relation between two unequal expressions is defined as inequality.
The given inequality is 2z > -28.
Solve the inequality as follows:
2z > -28
Divide both sides of the inequality by 2:
z > -14
Hence, the solution to the inequality is z > -14.
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Food Express is running a special promotion in which customers can win a free gallon of milk with their food purchase if there is a star on their receipt. So far, 219 of the first 264 customers have not received a star on their receipt. What is the experimental probability of winning a free gallon of milk?options: 3/11....15/88....73/88.....1/78
Solution:
Experimental probability is a probability that is determined on the basis of a series of experiments. A random experiment is done and is repeated many times to determine their likelihood, and each repetition is known as a trial.
\(\begin{gathered} P(E)=\frac{n(E)}{n(T)} \\ \\ Where; \\ n(E)=\text{ number of event} \\ \\ n(T)=\text{ total outcome} \end{gathered}\)If 219 of the first 264 customers have not received a star on the receipt, then a customer that would win a free gallon of milk would be among (264 - 219) customers. Thus;
The experimental probability of winning a free gallon of milk is;
\(\begin{gathered} =\frac{264-219}{264} \\ \\ =\frac{45}{264} \\ \\ =\frac{15}{88} \end{gathered}\)CORRECT OPTION:
\(\frac{15}{88}\)
Solve the inequality -4x < 66
Answer:
x >-33/2
Step-by-step explanation:
-4x < 66
Divide each side by -4, remembering to flip the inequality
-4x/-4 > 66/-4
x >-33/2
Answer:
x>-16.5 or x>\(-\frac{33}{2}\)
Step-by-step explanation:
\(-4x<66\\ \frac{-4}{-4} x< \frac{66}{-4} \\x> -16.5\)
Question 2
A box contains 22 coloured pencils.
6 pencils are pink, 9 pencils are blue and 7 pencils are yellow.
Write down the ratio pink pencils : not pink pencils.
Give your answer in its simplest form.
Answer:
3/8 or 3:8
Step-by-step explanation:
pink : not pink
6 : 16
Think of it as a fraction. Simplify it in the same way.
6/16 simplifies to 3/8
So the pink:notpink ratio is 3/8 or 3:8
Given the drawing as shown below and that pllq. Which of the following cannot be supported by the evidence shown? Worth 10 points
The relation that can not be supported by the evidence in the image is option B
What happens when a transversal cuts a parallel line?
Corresponding angles are those that are located on the same side of the transversal and in identical relative positions to the parallel lines. Angles that correspond to one another have the same measure.
Alternate interior angles are those that are located on the transverse and within the area between the parallel lines, respectively. Congruent alternate interior angles exist.
Alternate external angles are those that are outside of the space between the parallel lines and on the opposing sides of the transversal. Congruent external angles exist between the two.
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The scale on a map shows that 1.5 inches represents 100 miles. The distance between two cities on the map is 4.5 inches What is the
actual distance between the two cities?
A 300 miles
B 450 miles
C 600 miles
D 675 miles
Answer:
a 300 miles
Step-by-step explanation:
4.5 inches = 3×1.5 inches
so
4.5 inches = 3×100 miles = 300 miles
The product of two numbers is 155952. If one number is 342, find the other
number.
Answer:
456
Step-by-step explanation:
Product means an answer derived from multiplication. Therefore, if the product is 155952, and one value is 342, then the following equation is true:
342x = 155952, or 342 * x = 155952
Divide 155952 by 342 to get: 456.
Check the work in the equation:
342(456) = 155952
155952 = 155952, which is true, so the answer is 456.
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The heights in inches of orangutans Are normally distributed with a population standard deviation of 3" and an unknown population mean if a random sample of 17 orangutans is taken and results in a sample mean of 57" find the error bound of the confidence interval with a 95% confidence level
Answer: The 95% confidence interval is approximately (55.57, 58.43)
======================================================
Explanation:
At 95% confidence, the z critical value is about z = 1.960 which you find using a table or a calculator.
The sample size is n = 17
The sample mean is xbar = 57
The population standard deviation is sigma = 3
The lower bound of the confidence interval is
L = xbar - z*sigma/sqrt(n)
L = 57 - 1.960*3/sqrt(17)
L = 55.5738905247863
L = 55.57
The upper bound is
U = xbar + z*sigma/sqrt(n)
U = 57 + 1.960*3/sqrt(17)
U = 58.4261094752137
U = 58.43
Therefore the confidence interval (L, U) turns into (55.57, 58.43) which is approximate.
Look at the figure:
An image of a right triangle is shown with an angle labeled x.
If tan x° = a divided by 4 and cos x° = 4 divided by b what is the value of sin x°?
sin x° = 4b
sin x° = b divided by a
sin x° = 4a
sin x° = a divided by b
By using trigonometric functions, the value of \(\sin \text{x}^\circ\) is \(\frac{\text{a}}{\text{b}}\).
What are trigonometric functions?Trigonometric functions are also known as Circular Functions can be simply defined as the functions of an angle of a triangle. It means that the relationship between the angles and sides of a triangle are given by these trig functions. The basic trigonometric functions are sine, cosine, tangent, cotangent, secant and cosecant.
Given
\(\sin \text{x}^\circ= \ ?\)
\(\tan \text{x}^\circ=\dfrac{\text{a}}{4}\)
\(\cos \text{x}^\circ=\dfrac{4}{\text{b}}\)
Formula to find \(\sin \text{x}^\circ\)
\(\sin \text{x}^\circ=\dfrac{\text{Opposite}}{\text{Hypotenuse}}\)
\(\rightarrow\sin \text{x}^\circ=\bold{\dfrac{a}{b}}\)
Therefore, by using trigonometric functions, the value of \(\sin \text{x}^\circ\) is \(\frac{\text{a}}{\text{b}}\).
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help will give brainliest
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So the "back" of the arrow is on/above -20.
The arrow points to -12.
You added something to -20 to get to -12.
So the first number is -20. You added ? to get -12. -12 is the last number / the answer to the equation.
So the equation from what you have so far is -20 + ? = -12
You need to isolate the ? so that you know what it is.
So to get rid of the -20 (make it 0), you have to add 20. -20 plus 20 equals 0, which basically means it is gone. You also have to add 20 to -12. 20 plus -12 equals 8.
Now the equation is ? = 8.
So you know that the second number is 8.
The equation makes sense; -20 + 8 = -12.
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Please help must be solved by using substitution
Answer:
y = -0.1, x = 1.6
Step-by-step explanation:
Substitution is just stating one variable as another.
Lets use the first equation to substitute:
2x - 3 = -2y
2x = -2y - 3
x = -y - 1.5
Now, let's plug this in to the next equation
3x - 12y = -3
We use x as -y - 1.5 instead
3(-y - 1.5) - 12y = -3
-3y - 4.5 - 12y = -3
-15y = 1.5
y = -0.1
If we plug this back into the first equation we get x
2x - 3 = -2(-0.1)
2x - 3 = 0.2
2x = 3.2
x = 1.6
Hope this helped!
Determine which set of side measurements could be used to form a right triangle.
4, 11, 20
16, 21, 25
5, 13, 25
3, 4, 5
The set of side measurements that could be used to form a right triangle is 3, 4 and 5 option (D) is correct.
What is a right-angle triangle?
It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
It is given that:
The side length of the triangle is shown in the option:
As we know,
Pythagoras' theorem is the square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.
Using Pythagoras' theorem:
From option(D):
3, 4 and 5
(3)² + (4)² = 5²
9 + 16 = 25 (True)
Thus, the set of side measurements that could be used to form a right triangle is 3, 4 and 5 option (D) is correct.
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