Answer:
Take away the equal sign , track the graph ( solid or dotted ) , determine the inequality sign by seeing the direction in graph are the few steps to be known while writing an inequality
Step-by-step explanation:
What is linear inequality ?Linear inequalities are two mathematical expressions that are compared using the inequality symbol. The expression could be either just one or both numerical and algebraic.
Few steps which we need to know while writing an inequality
1. Identify the line's equation. Once we take away the equal sign, this gives us the fundamental shape of our inequality.
2. Keep track of whether the line is solid or dotted. Remember that in an inequality, solid lines denote ≤ or ≥ and dotted lines denote < or >.
3. Determine which direction your inequality sign will face by using the shading on the graph.
Take away the equal sign , track the graph ( solid or dotted ) , determine the inequality sign by seeing the direction in graph are the few steps to be known while writing an inequality
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Raven and Tyler are selling their cups of hot chocolate for $2.25. They sold 11 cups. They are also sold 9 candy canes on the side for $0.75 each. They spent $7.50 on supplies that they will have to pay back to the bank.
How much did they earn from candy canes?
The amount they earn from the sale of candy canes as required is; $6.75.
How much did they earn from candy canes?It follows from the task content that the amount earned by Raven and Tyler as in the task content is to be determined.
Since they sell their cups of hot chocolate for $2.25 in which case they sold 11 cups.
However, the question requires that the amount which they earn from the sale of candy canes is to be determined.
Therefore, since each candy cane is sold for $0.75, it follows that the amount earned on 9 candy cones is;
= 9 × $0.75
= $6.75
Ultimately, the amount earned from the candy canes is; $6.75.
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Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places.
P(X=15), n=17, p=0.6
0.01023 is the probability of obtaining a success
How to find the probability of obtaining a success?
Since we are dealing with a binomial probability distribution. We are going to use the binomial distribution formula for determining the probability of x successes:
P(X = r) = nCr . p^r . q^n-r
Given: number of trial (n) = 17, probability of success (p) = 0.6, X=15
probability of failure (q) = 1 - 0.6 = 0.4
P(X = 15) = 17C15 × 0.6¹⁵ × 0.4¹⁷⁻¹⁵
P(X = 15) = 17C15 × 0.6¹⁵ × 0.4²
P(X = 15) = 136 × 0.6¹⁵ × 0.16
P(X = 15) = 0.01023
Therefore, the probability of obtaining a success is 0.01023
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20 is ______times as much as 2
The monthly rents (in dollars) paid by 10 people are given below. (Note that these are already ordered from least to greatest.) 735, 935, 960, 995, 1005, 1050, 1065, 1075, 1100, 1120 Suppose that one of the people moves. His rent changes from $735 to $535. Answer the following.
The mean will decrease when the rent decrease.
The median will stay the same.
What is a mean?It's important to note that a mean simply means the average of a set of numbers that are given. The mean is the average of the given numbers and is calculated by dividing the total number of numbers by the sum of the given numbers. A data set's mean (average) is calculated by adding all of the numbers in the set and then dividing by the number of values in the set.
Mean = (sum of all observations divided by the total number of observations)
In this case, the rents are 735, 935, 960, 995, 1005, 1050, 1065, 1075, 1100, 1120 and one of the people moves, and his rent changes from $735 to $535.
In this case, changing 735 to 535 will make the average lower.
On the other hand, the median isn't affected as it's still 1057.50.
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How do you solve a proof question?
To solve a proof question, firstly you have to identify the question and visualize it and then try to connect the given conditions.
Mathematical proofs can be difficult, but can be conquered with the proper background knowledge of both mathematics and the format of a proof.
To solve a proof question you have to remember following steps:
Identify the question = You must first determine exactly what it is you are trying to prove. Identify the question. You must first determine exactly what it is you are trying to prove. Draw diagrams = When trying to understand the inner working of a math problem, sometimes the easiest way is to draw a diagram of what is happening. Use the information given in the problem to sketch a drawing of the proof. Label the knowns and unknowns.Study proofs of related theorems = Proofs are difficult to learn to write, but one excellent way to learn proofs is to study related theorems and how those were proveTo know more about proof here
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Please help asap!!!!!!
Answer:
y = -194x + 3850
Step-by-step explanation:
slope intercept form
y = mx + b
info from question:
. slope = -194
. five years later same school has 3850 students
Hope this helps!
- vo
find the slope of the line that passes through (2,4) , (9,10)
The slope of the line that passes through (2,4) , (9,10) is 6/7
How to calculate the slope of the line?From the question, the points are given as
(2,4) , (9,10)
Rewrite the above points properly
So, we have the following ordered pairs
(x, y) = (2,4) and (9,10)
The slope of the line is then calculated using the following slope equation
Slope = (y₂ - y₁)/(x₂ - x₁)
Where
(x, y) = (2,4) and (9,10)
Substitute the known values in the above equation
So, we have the following equation
Slope = (10 - 4)/(9 - 2)
Evaluate
Slope = 6/7
Hence, the slope of the line is 6/7
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how to find the degree of a term
The degree of the term is the power of the term
What does degree of the term?The degree of a phrase with a single variable is the exponent of that variable. The degree is equal to the exponents of all the variables when there are many variables.
degree we find by just looking at its power.
To further understand the word, let's look at an example.
[tex]7x^{8}[/tex] degree is 8
[tex]6y^{2}[/tex]degree is 2,
[tex]x^{2}[/tex] +[tex]y^{5}[/tex] degree will be 7
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convert 2 1/8 into an improper fraction
Shivani and Yamini have certain amounts of
money with them. If Shivani gives 60 to Yamini, the
amounts with both will be equal. Instead, if Yamini
gives 20 to Shivani, the amount with Shivani would
become twice the amount left with Yamini. What is
the amount with Shivani?
Answer:
$300
Step-by-step explanation:
S = amount of $$ Shivani currently has
Y = ... Yamini currently has
1. If Shivani gives 60 to Yamini, the amounts with both will be equal:
S - 60 = Y + 60
2. if Yamini gives 20 to Shivani, the amount with Shivani would become twice the amount left with Yamini: 2(Y-20) = S+20
3. Simplify both equations and solve the system:
S = Y + 120
S = 2Y - 60
Y + 120 = 2Y - 60 ⇒ Y = 180
S = 180 + 120 = 300
help!! i’ve been stuck on this problem!
Answer:
x less than or equal to -2
Step-by-step explanation:
I believe that's the answer
Answer:
x < -2
Step-by-step explanation:
You want the domain of a function graphed as a curve with an open circle at x=-2, which is the right end of the curve.
DomainThe domain is the horizontal extent of the graph. It is the set of values for which the relation is defined.
ApplicationThe open circle at (x, y) = (-2, 0) means that point is not part of the graph. All x-values to the left of that point have corresponding y-values, so the extent of the graph can be said to be ...
x < -2
The domain of the relation is x < -2.
A certain shade of light blue paint is made by mixing 1(1/2) quarts of blue paint with 5 quarts of white paint. How much white paint would you need to mix with 4 quarts of blue paint?
a) Set up the table with headings (names of the variables and the units).
b) Show how to use the table to solve the problem.
c) Record your final answer below.
By using Unitary method it can be calculated that
4 quarts of white paint is mixed with [tex]1\frac{1}{5}[/tex] quarts of blue paint
1 quart of blue paint is mixed with [tex]3\frac{1}{3}[/tex] quarts of white paint
What is unitary method?
Unitary method is the process in which the value of single unit can be calculated from the value of multiple unit and the value of multiple unit can be calculated from the value of single unit. Sometimes Value of single unit can be less than the value of multiple unit. For example - The relation between the cost of a commodity and the quantity of the commodity
Sometimes Value of single unit can be more than the value of multiple unit. For example - The relation between the number of men and the number of days taken by those men to do a certain job.
a) Here, Unitary method will be used
Blue Paint White Paint
(Quart) (Quart)
[tex]1\frac{1}{2}[/tex] 5
[tex]1\frac{1}{5}[/tex] 4
1 [tex]3\frac{1}{3}[/tex]
5 quarts of white paint is mixed with [tex]\frac{3}{2}[/tex] quarts of blue paint
1 quart of white paint is mixed with [tex]\frac{3}{2} \times \frac{1}{5}[/tex] quarts of blue paint
4 quarts of white paint is mixed with [tex]\frac{3}{2} \times \frac{1}{5} \times 4[/tex] quarts of blue paint
4 quarts of white paint is mixed with [tex]\frac{6}{5}[/tex] quarts of blue paint
4 quarts of white paint is mixed with [tex]1\frac{1}{5}[/tex] quarts of blue paint
Again
[tex]\frac{3}{2}[/tex] quarts of blue paint is mixed with 5 quarts of white paint
1 quart of blue paint is mixed with [tex]5 \div \frac{3}{2}[/tex] quarts of white paint
1 quart of blue paint is mixed with [tex]\frac{10}{3}[/tex] quarts of white paint
1 quart of blue paint is mixed with [tex]3\frac{1}{3}[/tex] quarts of white paint
c) Finally
4 quarts of white paint is mixed with [tex]1\frac{1}{5}[/tex] quarts of blue paint
1 quart of blue paint is mixed with [tex]3\frac{1}{3}[/tex] quarts of white paint
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Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p.
n = 141, x = 52; 90% confidence
The confidence interval for the population proportion p is: 0.3031, 0.4367.
How to find the confidence interval?First step is to find the population proportion p
p= x/n
p = 52/141
p = 0.37
Second step is to find the margin of error
z-score for 95 % confidence interval is 1.645
Margin of error = 1.645√0.37 (1- 0.37)/141
Margin of error = 1.645√0.37 (0.63)/141
Margin of error = 1.645√0.00165319
Margin of error = 1.645(0.04065945)
Margin of error = 0.06688
Third step is to find the Confidence interval
Confidence interval = p ± MOE
Confidence interval = (0.37 - 0.06688) , (0.37 + 0.06688)
Confidence interval =0.3031, 0.4367
Therefore the Confidence interval is 0.3031, 0.4367.
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What are rational roots Class 10?
The rational root theorem, as its name suggests, is used to find the rational solutions of a polynomial equation (or zeros or roots of a polynomial function). The solutions derived at the end of any polynomial equation are known as roots or zeros of polynomials. A polynomial doesn't need to have rational zeros.
Rational root theorem, also called rational root test, in algebra, theorem that for a polynomial equation in one variable with integer coefficients to have a solution (root) that is a rational number, the leading coefficient (the coefficient of the highest power) must be divisible by the denominator of the fraction and the constant term (the one without a variable) must be divisible by the numerator.
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Please help asap!!!!!!
what value of x is in the solution set of 3x 4 5x 2 10 5 5 10
The value of x in the considered inequality's solution set is given by -10.
What is inequality ?
In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.
We have;
3(x - 4) ≥ 5x + 2
By solving;
3(x - 4) ≥ 5x + 2
3x - 12 ≥ 5x + 2
Adding -3x-2 on both sides we get ;
-12-2 ≥ 5x-3x
-14 ≥ 2x
Dividing both sides by 2,we get;
-14/2 ≥ 2x/2
-7 ≥ x
x ≤ -7
As a result, any numbers that are less than or equal to -7 comprise the solution set for this inequality.
There is currently only the value -10 in the solution set because -10 ≤ -7.
As a result, the value of x in the collection of solutions to the inequality under consideration is provided by -10.
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The ratio of flour to sugar is 2 cups to 3 cups. If there are 5 cups of flour, how many cups of sugar are there?
The number of sugar cups will be equal to 7.5 cups.
What are ratios and proportions?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.
Given that the ratio of flour to sugar is 2 cups to 3 cups. The number of cops for flour is 5.
The number of sugar cups will be calculated as,
F / S = 2 / 3
5 / S = 2 / 3
S = ( 5 x 3 ) / 2
S = 7.5 cups
Therefore, the number of sugar cups will be equal to 7.5 cups.
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Determine the value of 0.
21⁰
sin0=opp/hyp
sin0=5/14
0=(sin^-1)5/14
0=21⁰
Edward's lacrosse team scored a total of 23 goals in 10 matches. What is the mean number of goals the team scored per match?
The mean number of goals the team scored is 2.3
MeanMean is one of the measures of central tendency, apart from the mode and median. Mean is nothing but the average of the given set of values. It denotes the equal distribution of values for a given data set. The mean, median and mode are the three commonly used measures of central tendency. To calculate the mean, we need to add the total values given in a datasheet and divide the sum by the total number of values.
Basically, the mean of a data set is the average of the entire data
mean = sum of all data / total number of data
mean = 23 / 10
mean = 2.3
The mean is 2.3
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The ratio of flour to sugar is 2 cups to 3 cups. If there are 5 cups of flour, how many cups of sugar are there?
6 to the power of 2 - (8 - 4) to the power of 2 + 7 = ?
This is confusing
The simplification of the expression 6 to the power of 2 - (8 - 4) to the power of 2 + 7 = ? gives -262108
How to simplify an expression?
Simplification is a way of determining an answer for a complex calculation that may involve numbers on division, multiplication, square roots, cube roots, plus and minus, etc.
Given: the expression, 6 to the power of 2 - (8 - 4) to the power of 2 + 7 = ?
This can be written as 6² - (8 - 4)²⁺⁷. Thus:
6² - (8 - 4)²⁺⁷ = 6² - 4⁹
= (6×6) - (4×4×4×4×4×4×4×4×4)
= 36 - 262144
= -262108
Therefore, the expression 6² - (8 - 4)²⁺⁷ simplifies to -262108
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Does 15 20 25 form a right triangle?
Any triple would still represent the sides of a right triangle if we multiplied it by a constant. Therefore, the sides of a right triangle would be represented by 6, 8, 10, 15, 20, and 25, among countless other numbers.
What is right triangle?
A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangled triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and other angles of the right triangle.
Input the Pythagorean Theorem with the given numbers:
c^2 = a^2 + b^2
25^2 = 15^2 + 20^2
625 = 225 + 400
625 = 625
Yes, the numbers 15, 20 and 25 form a right triangle and the Pythagorean triple.
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−8×(−10+(−7))
Evaluate the following expression.
Answer:
136
Step-by-step explanation:
solve the inside of the parentheses and you get -17, then multiply by -8
Solve for w.
2w²-2w+32 = (w-5)²
[tex]2w^2-2w+32=(w-5)(w-5)[/tex]
[tex]2w^2-2w+32=w^2-10w+25[/tex]
Subtract [tex]w^2[/tex] from each side:
[tex]w^2-2w+32=-10w+25[/tex]
Add [tex]10w[/tex] to each side:
[tex]w^2+8w+32=25[/tex]
Subtract 25 from each side:
[tex]w^2+8w+7=0[/tex]
Factor:
[tex](w+1)(w+7)[/tex] =0
Both solutions work, so w=-1 and w=-7A bi-athlete travels 50 km in 2 1/6 hours . She cycles part of the way at 30 km/h and runs the rest at 12 km/h.
How far did she run?
_____km?
When a bi-athlete travels 50 km in 2 1/6 hours . cycling part of the way at 30 km/h and running the rest at 12 km/h. the athlete ran 10 km
How find how far she ranwe generate two equations from the concept of speed = distance / time
let the time for cycling be x and time for running be y
therefore
x + y = 2 1/6 hours
distance for cycling
= 30 * x
= 30x
distance for running
= 12 * y
= 12y
total distance
30x + 12y = 50
solving the equation simultaneously
30x + 12y = 50
x + y = 2 1/6
x = 4/3 and y = 5/6
How far the bi-athlete run
= 12y
= 12 * 5/6
= 10 km
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What is the standard form of ( 7 − 5 i ) ( 2 + 3 i ) ?M
The standard form of the complex numbers ( 7 − 5 i ) ( 2 + 3 i ) is
29 + 11iHow to expand the complex numbersComplex numbers are numbers that are represented of the form a + ib
a and b are real numbers. a is the real part and b is in the imaginary part
i = √-1
Opening up the parenthesis by multiplication
( 7 − 5 i ) ( 2 + 3 i )
= 14 +21i - 10i -15i^2
where i^2 = -1
= 14 +21i - 10i -15 * -1
= 14 +21i - 10i +15
= 29 + 11i
The equation is equal to 29 + 11i
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Evaluate the expression for c = –9 and d = –5.
cd + c + d
Answer:
31
Step-by-step explanation:
Because c = -9 and d = -5, we replace the variables in the expression with the corresponding numbers.
cd + c + d --- > (-9)(-5) + (-9) + (-5)
Then we solve it.
(-9)(-5) + (-9) + (-5)
45 + (-9) + (-5)
36 + (-5)
31
See question in screenshot below:
Answer:
(√2/2)(sin(x) +cos(x))
Step-by-step explanation:
You want sin(x+π/4) written in terms of sine and cosine.
Angle sum identityThe sine of the sum of two angles is found using the identity ...
sin(α +β) = sin(α)cos(β) +cos(α)sin(β)
ApplicationChoosing α=x and β=π/4, this becomes ...
sin(x +π/4) = sin(x)cos(π/4) +cos(x)sin(π/4)
The trig function values are ...
sin(π/4) = cos(π/4) = √2/2, so the expression can be written ...
sin(x +π/4) = sin(x)√2/2 +cos(x)√2/2
sin(x +π/4) = (√2/2)(sin(x) +cos(x))
<95141404393>
solve for x: -3x-7=-8x-57
Answer:
x=-10
Step-by-step explanation:
-3x-7=-8x-57
Add 8x: 5x-7=-57
Add 7: 5x=-50
Divide 5: x=-10
The Science Club has 30 members and needs to elect officers. They will need a President, Vice President, Secretary, Treasurer, and Historian. How many ways can a 5-member committee be formed?
150
3,735
142,506
17,100,720
The ways to select the candidates from the total is (c) 142,506
How to determine the ways of selection?From the question, we have
Total number of members, n = 30
Numbers to selection, r = 5
The number of ways of selection could be drawn is calculated using the following combination formula
Total = ⁿCᵣ
Where
n = 30 and r = 5
Substitute the known values in the above equation
Total = ³⁰C₅
Apply the combination formula
ⁿCᵣ = n!/(n - r)!r!
So, we have
Total = 30!/25!5!
Evaluate
Total = 142,506
Hence, the number of ways is 142,506
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Answer: The answer is 17,100,720 different ways, or D.
Step-by-step explanation: I took the FLVS test. This situation is a permutation because order DOES matter. If got 142,506, you used the combination formula which is incorrect for this situation.
