Answer:
D = 2 (x +10)
Step-by-step explanation:
what is 4/11 as a deimal
Answer:
0.36363636363636 or 0.36
Step-by-step explanation:
hope this helps
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how many pattern blocks rhombuses would 4 triangles create
Four triangles can create a set of pattern blocks that includes a total of four rhombuses.
To understand why, it's essential first to understand what pattern blocks are. Pattern blocks are shapes that are commonly used in early childhood education to teach math concepts like geometry, spatial reasoning, and fractions. They come in different shapes, including triangles, squares, hexagons, trapezoids, and rhombuses.
To create a set of pattern blocks using triangles, one can use four equilateral triangles with the same side length. When these triangles are arranged together, they form a larger equilateral triangle, as each external side of each small triangle connects to a side of another triangle. This larger equilateral triangle can then be divided into four smaller rhombuses by using two diagonals (lines connecting opposite corners) to form a "X" shape. Each of these four smaller rhombuses is made up of two adjacent triangles and forms a diamond shape. Therefore, it can be said that four equilateral triangles can form a set of four rhombuses within an equilateral triangle pattern block set.
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2) Which expressions are equal to 6^4?
A. 10
B. 216
C. 24
D. 6*6*6*6
E. 25
F. 62*62
Answer:
Step-by-step explanation:
D
The data set below represents students’ scores on a spelling test: 98, 89, 82, 79, 95, 74, 32, 82, 85, 92 What effect does the score of 32 have on the data? It has little to no effect on the median, but it makes the mean a less useful measure of center. It makes both the mean and the median less useful measures of center. It has little to no effect on the mean, but it makes the median a less useful measure of center. It has little to no effect on both the mean and the median.
The cοrrect answer is: "It has IittIe tο nο effect οn the median, but it makes the mean a Iess usefuI measure οf center."
What is median ?
The vaIue οf the middIe οbservatiοn fοund after the data are arranged in ascending οrder is referred tο as the median οf the data. In many cases, it is chaIIenging tο take aII οf the facts intο accοunt when representing sοmething, and in these cases, median is heIpfuI.
The median is οne οf the simpIe tο cοmpute statisticaI summary metrics. The median is aIsο knοwn as the pIace average since it uses the data that is in the centre οf a sequence tο determine its vaIue.
The scοre οf 32 has a significant effect οn the mean, but IittIe tο nο effect οn the median. This is because the mean is heaviIy infIuenced by extreme vaIues, whiIe the median is nοt. In this case, the scοre οf 32 is an οutIier that is much Iοwer than the οther scοres, sο it puIIs the mean dοwn significantIy.
Hοwever, it dοes nοt affect the pοsitiοn οf the median in the οrdered data set, since it is aIready the middIe vaIue.
Therefοre, the cοrrect answer is: "It has IittIe tο nο effect οn the median, but it makes the mean a Iess usefuI measure οf center."
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At a noodles & company restaurant, the probability that a customer will order a nonalcoholic beverage is .33 find the probability that in a sample of 8 customers at least 5 will order a nonalcoholic beverage?
Answer:
0.0846 (3 s.f.) = 8.46% (3 s.f.)
Step-by-step explanation:
We can model the given scenario as a binomial distribution.
Binomial distribution\(X \sim \text{B}(n,p)\)
where:
X is the random variable that represents the number of successes.n is the fixed number of independent trials.p is the probability of success in each trial.Given the probability that a customer will order a non-alcoholic beverage is 0.33, and the number of customers is 8:
\(\boxed{X \sim \text{B}(8, 0.33)}\)
where the random variable X represents the number of customers who order a non-alcoholic beverage.
To find the probability that at least 5 customers will order a non-alcoholic beverage, we need to find P(X ≥ 5).
The complement rule of probability states that the probability of an event occurring is equal to one minus the probability of that event not occurring. Therefore:
\(\text{P}(X \geq 5) = 1 - \text{P}(X \leq 4)\)
We can use a calculator to calculate P(X ≤ 4) using the binomial cumulative distribution function (cdf). Note that the binomial cdf on a calculator will give you the sum of all the binomial probabilities for values of your random variable less than or equal to a given number (i.e. P(X ≤ x)).
Inputting the values of n = 8, p = 0.33 and x = 4 into the binomial cdf:
\(\text{P}(X \leq 4) = 0.915427613...\)
Therefore:
\(\begin{aligned} \text{P}(X \geq 5) &= 1 - \text{P}(X \leq 4)\\&= 1 - 0.915427613...\\&= 0.0845723865...\\&=0.0846\;(3\;\sf s.f.)\end{aligned}\)
So the probability that at least 5 customers from a sample of 8 customers will order a non-alcoholic beverage is 0.0846 (3 s.f.).
In 1 month it rained 12 inches. Then it rained 3 inches per month for 9 months. How many inches did it rain in all?
Answer: 39
Step-by-step explanation: Just addition
Answer:
Total rainfall = 39 inches.
Step-by-step explanation:
The question is not properly qualified. I am assuming that the first month, 12 inches of rain fell (that is an awful lot) and for the next 9 months the rainfall was 3 inches per month.
Let R be the total rainfall.
R = first month + 9*3
R = 12 + 27
R = 39
what is the solution to the equation:
5(n - 1/10) = 1/2
a. n= 13/5
b. n= 3/25
c. n= 0
d. n= 1/5
\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)
\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)
\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)
\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)
\( \sf \longrightarrow \: \: 100n =20\\ \)
\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)
\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)
Answer:-
Answer:- D) n = ⅕ ✅To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:
Step 1: Distribute the 5 on the left side:
\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)
Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:
\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)
\(\sf 5n = 1 \\\)
Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):
\(\sf \frac{5n}{5} = \frac{1}{5} \\\)
\(\sf n = \frac{1}{5} \\\)
Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).
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Which equation has no solution?
Answer:
number 3
Step-by-step explanation:
Sam and his mom arrive at the doctor’s office at 2:30 p.m. They see the doctor at 3:10 p.m. How long was their wait?
Answer: 40, have a great day!
which property of exponents must you apply to the express p 1/2 to derive p as the result
The expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2) Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.
The property of exponents that must be applied to the expression p^(1/2) to derive p as the result is the Power of a Power Property.
The Power of a Power Property states that when a power is raised to another power, the exponents are multiplied.
For instance, consider the expression p^(1/2). We can apply the Power of a Power Property to this expression as follows: p^(1/2) = (p^(1/2))^1 By applying the Power of a Power Property, the exponent (1/2) is multiplied by the exponent 1, giving a result of 1/2.
Therefore, the expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2)Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.
So we have derived p as the result using the Power of a Power Property.
In summary, we must apply the Power of a Power Property to the expression p^(1/2) to derive p as the result.
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3x-2w cuando x = -1 y w = -3
Answer:
3
Step-by-step explanation:
3(-1)-2(-3)
What is the quotient of (x3-x2-17x-15) / (x-5)
Answer:
Step-by-step explanation:
x
2
+
4
x
+
3
x
2
+
4
x
+
3
find a rational number lying at one fourth of the way between 3/4 and 2/3 from the greater side
(with steps)
Answer:
13 / 20
Step-by-step explanation:
This question does not require an understanding of number theory.
NUMBER THEORY
A rational number is any real number that can be represented as a fraction or an integer. This group of numbers excludes imperfect squares or constants like pi.
THE MATH PART
We can use a bit of logic and algebra to do this.
(2/3) > (3/5)
This means we need to find a number relative to (2/3).
Calculate the distance between (2/3) and (3/5) by finding the least common multiple denominators. Two brackets placed together mean multiplication.The rational number is ( 13 / 20 ).
I could have probably made step 2 easier by subtracting ( 1 / 4 ) of ( 1 / 15 ) from ( 2 / 3 ).
A triangle has sides with lengths 8, 15, and 17.
a. Verify this is a Pythagorean triple.
Type your response in the space below.
b. Approximate the acute angles in this triangle. Round each angle to the nearest degree.
Type the answers in the boxes below.
The values 8, 15 and 17 is a Pythagorean triple and therefore a right angle triangle.
What is Pythagoras TripleA Pythagorean triple is a set of three positive integers, a, b, and c, such that a^2 + b^2 = c^2, which represents the sides of a right-angled triangle, where c is the hypotenuse.
In this problem, we can we can check if the values are for a right angle triangle.
Assuming this is a right angle triangle which obeys Pythagoras theorem, the longest side will be the hypothenuse.
c = hypothenuse = 17a = leg = 15b = 8c² = a² + b²
17² = 15² + 8²
289 = 225 + 64
289 = 289
From the calculation above, the values of is a Pythagorean triple.
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what are the coordinates of the other three vertices of thr hexagon
Question in the pic, please explain your answer
The statement translated to an algebra equation will give the value of the unknown number w = 11/5
What is algebra?Algebra is the branch of mathematics that helps to represent problems or values in the form of mathematical expressions using letters to represent unknown values.
Let us represent the unknown number with the letter w so that the statement can be written as the equation:
5w - 8 = 3
add 8 to both sides
5w - 8 + 8 = 3 + 8
5w = 11
divide through by 5
5w/5 = 11/5
w = 11/5
Therefore, the statement translated to an algebra equation will give the value of the unknown number w = 11/5
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The students calculate a chi-squared value of 92.86 and compare it with a critical value of 7.82. Which of the following best completes the chi-square good The null hypothesis cannot be rejected, and the students should conclude that the data fit a model of independent assortment. The null hypothesis cannot be rejected, and the students should conclude that the data may have resulted from genetic linkage. The null hypothesis can be rejected, and the students should conclude that the data fit a model of independent assortment The null hypothesis can be rejected, and the students should conclude that the data may have resulted from genetic linkage.
The students should draw the conclusion that the data might have been caused by the genetic connection if the null hypothesis is rejected.
Given information;
The students determine a crucial value of 7.82 and compare it to a chi-squared value of 92.86.
Which of the following results in the chi-square goodness-of-fit test being most complete?
The null hypothesis can be rejected, and the students should conclude that the data may have resulted from the genetic linkage.
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Marie had 12 pizzas. She wanted to give each person of a 1/4
pizza. How many people would receive a piece of pizza?
Answer:
48 people.
Step-by-step explanation:
Each person gets 1/4 of a pizza meaning that one pizza can serve 4 people. If one pizza can serve 4 people, 12 pizzas can serve 48 people, because 4x12=48.
the train travels 558 miles in 3 hours. At this rate, how far does the train travel?
b) per 2.5 hours?
Answer:
186 mph
Step-by-step explanation:
Miles per hour means miles divided by hour(s), so 558/3 is 186 miles per hour.
Answer:
186 mph in 3 hours, 232.2 in 2.5 hours.
Step-by-step explanation:
You divide the miles by hours, for example, 100 miles in 5 hours, said person would be going 20mph. Hopefully this helps, have a good day, good luck with whatever youre doing !!
AS ALWAYS, DUE TODAY!!! WILL GIVE EVERYTHING GOOD!!! NOTE: I NEED THE COORDINATES!!! I STILL NEED HELP WITH THIS!!!
Answer:
(2, 5)
Step-by-step explanation:
PLEASE ANSWER will give brainliest
Answer:
B
Step-by-step explanation:
it is the only one where most of the data is concentrated in one place and not spread out
Rewrite the following expression using the Distributive Property. 5(2x -8)
A. -30x
B. 10x -40
C. 10x + 40
D. 10x -8
I think it is either B or C but I'm not sure.
Answer:
B. 10x -40
Step-by-step explanation:
To rewrite the expression 5(2x-8) using the distributive property, we need to separate the expression inside the parentheses and then multiply the two expressions by 5. The answer is: 10x-40.
Please help and thank you
Daniella: Were you thinking of perpendicular lines?
Ori: It seems like you've got the basic idea, but your definition could be more precise.
Kaori: Yes! Well done. Here, have a cookie. You've earned it.
PLEASE GIVE STEP BY STEP EXPLANATION !!
The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x): A graph with two linear functions; f of x passes through 0, negative 1 and 5, 14, and g of x passes through negative 6, negative 1 and negative 1, 14. Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points) Part B: Solve for k in each type of transformation. (4 points) Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)
The two types of transformations that can be used to transform f(x) to g(x). g (x) = f(x) + 16 and g (x) = f(x + 8)
ABC has vertices at A (12, 8), B (4, 8)
What is the equation about?f(x)= 0, -1 ,5,14
g(x)= -6, -1, -1, 14
g(x)=f(x)+k
-6= 0+k
k= -6
A) g (x) = f(x) + 16 and
g(x) = f(x + 8)
B) g(x)=f(x)+k
-1= -1+ k
k= -1+1=0
g(x)=f(x)+k
-1= 5+k
k= -1-5=-6
g(x)=f(x)+k
14= 14+k
k= 0
k= -6,0,-6,0
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What is the slope of the line that passes through the points (8, 7)(8,7) and (4, 5) ?(4,5)? Write your answer in simplest form.
The slope of the line is 1 / 2. The equation of the line is y = 1/ 2 x + 3.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given that the line passes through points (8, 7) and (4, 5). The slope of the line will be calculated as,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( 5 - 7 ) / ( 4 - 8 )
Slope = -2 / -4
Slope = 1 / 2
Calculate the y-intercept,
y = mx + c
5 = 1 / 2 x 4 + c
c = 5 - 2 = 3
The equation is written as,
y = mx + c
y = 1/2x + 3
Therefore, the slope of the line is 1 / 2. The equation of the line is y = 1/ 2 x + 3.
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Sue Mitchell Weighted 8 lbs. 13 oz. when she was born she now weighs 93 lbs. 5 oz. how much has she gained since birth
Answer:
84 Ibs. 8 oz.
Step-by-step explanation:
1 pound equals 16 oz
so u add 3 to 13 which gives u 1 pound which is 9
so u subtract 93 by 9 which is 84
plus the 5 oz which is 84 pounds 8 oz
to check it u add 8 lbs and 13 by 84 lbs and 8 oz
which is 93 and 5 lbs
hope this helps
How many 12th are in 3 and describe situation
Answer:
1) 36
2) My mom was trying to quiz me and she told me to pick a fraction and a number. I picked 1/12 and 3, she then told me to figure out how many 12ths there are in 3 which I found was 36.
Step-by-step explanation:
3 * 12 = 36
Rewrite with only sin x and cos x.
sin 2x - cos x
Answer:
2sinxcosx - cosx OR cosx(2sinx - 1)
Step-by-step explanation:
Use the double angle identity for sin2x.
sin2x = 2sinxcosx
Substitute sin2x with 2sinxcosx.
2sinxcosx - cosx
Factor out cosx, if needed.
cosx * (2sinx - 1)
Answer:
\({ \tt{ \sin2x - \cos x }} \\ = { \tt{(2 \sin x \cos x) - \cos x }} \\ = { \tt{ \cos x(2 \sin x - 1) }}\)
In a survey of 600 students 80 percent said they liked pop music.How many students liked pop music
Answer:
600 × .8 = 480
480 Students
12. The calculation of property tax is based on the
The tax revenue generated from property taxes is often used to fund expressions public services such as schools, parks, and infrastructure projects in the local community.
what is expression ?In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to contrast expressions and phrases. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For example, the expression 4m + 5 has the terms 4m and 5, as well as the provided expression's variable m, all separated by the arithmetic sign +. The calculation of property tax is typically based on the assessed value of the property and the tax rate set by the local government. The assessed value is determined by a government-appointed assessor who evaluates the value of the property based on factors such as its location, size, age, and condition. The tax rate is then applied to the assessed value to determine the amount of tax owed by the property owner. The tax revenue generated from property taxes is often used to fund public services such as schools, parks, and infrastructure projects in the local community.
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