Answer:
we have:
x + 4 + x + 6 + x + 2 + x + 18 + x = 180.3
<=> 5x + 30 = 540
<=> 5x = 520
<=> x = 104
we also have: m<5 + x = 180
<=> m<5 = 180 - 104
<=> m<5 = 76
The sixth-grade art students are making a mosaic using tiles in the shape of right triangles. each tile has leg measures of 5 cm and 6 cm. if there are
150 tiles in the mosaic, what is the area of the mosaic?
a 10 cm2
b 2250 cm 2
c 165 cm2
d 4500 cm2
Answer:
Below in bold.
Step-by-step explanation:
The area of each triangle = 1/2 * height * base
As it is a right triangle the height is equal to one of its sides, so
Area of 1 triangle = 1/2 * 6 * 5
= 15 cm^2
Area of mosaic = 150 * 15
= 2250cm^2.
In the diagram below of triangle IJK, L is the midpoint of IK and M is the
midpoint of JK.If LM = 4x+8, and IJ = 5x + 22, what is the measure of
LM?
On solving the provided question, we can say that in the triangle LM = 2*(IJ) x = |-6| = 6 and LM = 4x + 8 = 32 units
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
given,
LM = 4x + 8 and IJ = 5x +22
in the triangle LM = 2*(IJ)
4x + 8 = 2*(5x + 22)
4x + 8 = 10x + 44
6x + 36
x = |-6| = 6
LM = 4x + 8 = 32 units
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Bryan scored 10 points at last night's basketball game. this is one-fifth the total number of points scored by the entire team. write and solve an algebraic equation to find the total number of points scored by the team
Answer:
10/x = 1/5 || x = 50
Step-by-step explanation:
x = total points
you multiply 1 and 10 to get 10 that means you have to multiply 5 and 10 which is 50.
?????????????????????????????? You
Answer:
Step-by-step explanation:
Given:
confidence level = 90%
proportion = 50%
margin of error = 0.05
compute for the sample size, show solution, do not use excel cell to show the solution
what sampling technique/s are you going to use for your hypothetical research? choose from the list below. Explain why.
RANDOM SAMPLING TECHNIQUES
-Simple Random Sampling
-Cluster Sampling
-Systematic Sampling
-Stratified Sampling
NON-RANDOM SAMPLING TECHNIQUES
-Purposive Sampling
-Convenience Sampling
-Quota Sampling
-Snowball Sampling
For the given research scenario, the recommended sampling technique is Stratified Sampling.
Stratified Sampling involves dividing the population into homogeneous subgroups called strata and then selecting samples from each stratum based on its proportion in the population. In this case, since the proportion is known to be 50%, stratifying the sample will ensure representation from both sides of the proportion, increasing the accuracy of the results.
Random Sampling Techniques: 1. Simple Random Sampling: This technique randomly selects individuals from the population without any stratification or clustering. However, it may not guarantee an equal representation of the proportion and may result in a less accurate estimation of the population parameter. 2. Cluster Sampling: Cluster Sampling involves dividing the population into clusters and randomly selecting a few clusters for the study. This technique might not be suitable in this scenario since the clusters may not necessarily reflect the desired proportion accurately. 3. Systematic Sampling: Systematic Sampling involves selecting every nth element from the population list. While it can be efficient, it may introduce biases if there is a systematic pattern in the population list.
Non-random Sampling Techniques: 1. Purposive Sampling: This technique involves handpicking individuals based on specific criteria. It may introduce researcher bias and may not provide a representative sample. 2. Convenience Sampling: Convenience Sampling involves selecting individuals who are readily available and accessible. It may result in a biased sample as it does not consider the proportional representation of the population.3. Quota Sampling: Quota Sampling involves selecting individuals to meet specific quotas set by the researcher. Similar to convenience sampling, it may result in biased samples and does not guarantee proportional representation.4. Snowball Sampling: Snowball Sampling involves selecting initial participants and then using their referrals to recruit additional participants. While it can be useful for hard-to-reach populations, it may introduce selection biases and may not represent the desired proportion accurately.
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Find a formula for the exponential function passing through the points (-3,1/2) and (3,32).
The exponential function passing through the points (-3, 1/2) and (3, 32) can be represented by the equation \(f(x) = (2^{(5/6)}) * (2^{(x/6)})\).
To find the exponential function passing through the given points, we can start by assuming the general form of an exponential function, \(f(x) = a * (b^x)\), where a and b are constants to be determined. Plugging in the coordinates (-3, 1/2) into this equation gives us \(1/2 = a * (b^{(-3)})\), and plugging in (3, 32) gives us \(32 = a * (b^3)\).
Now, we can solve this system of equations to find the values of a and b. Taking the ratio of the two equations, we get \((1/2) / 32 = (a * (b^{(-3)})) / (a * (b^3))\), which simplifies to \(1/64 = 1/b^6\). Solving for b, we find \(b = 2^{(1/6)\).
Substituting this value back into either of the original equations, we can solve for a. Using the equation \(1/2 = a * (2^{(-3/6)})\), we find \(a = 2^{(5/6)\).
Therefore, the exponential function passing through the given points is \(f(x) = (2^{(5/6)}) * (2^{(x/6)})\).
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Jaime is preparing for a bicycle race. His goal is to
bicycle an average of at least 280 miles per week for
4 weeks. He bicycled 240 miles the first week,
310 miles the second week, and 320 miles the
third week. Which inequality can be used to
represent the number of miles, x, Jaime could bicycle
on the 4th week to meet his goal?
A)
240 + 310 + 320
3
+ x 280
B) 240 + 310 + 320 2 x(280)
C)
240 310 320
+- + +x280
4 4 4
D) 240 + 310 + 320 + x 2 4(280)
Using the mean concept, it is found that the inequality can be used to represent the number of miles, x, Jaime could bicycle on the 4th week to meet his goal is:
\(\frac{240 + 310 + 320 + x}{4} \geq 280\)
The mean of a data-set is the sum of all observations divided by the number of observations.
In this problem:
There are 4 observations.They are: 240, 310, 320 and x.Hence, the mean is:
\(M = \frac{240 + 310 + 320 + x}{4}\)
His goal is to bicycle an average of at least 280 miles per week for 4 weeks, hence:
\(M \geq 280\)
\(\frac{240 + 310 + 320 + x}{4} \geq 280\)
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The number of members on the basketball team
increased from 9 to 12. What was the percent
increase?
I may be incorrect.
Answer: 33.333333333333%
Step-by-step explanation:
The difference is 1/3. Twelve by three is four. Nine by three is three. The different from 9 to 12 is 1/3.
Solve: d |6n+7|=8 can you guys answer me plezzzzzzzz
Answer: -5/2 or 1/6
Step-by-step explanation:
I6n + 7I = 8
Therefore (6n + 7) = 8 or -8 because modulus means we're only getting it's absolute value, (it's positive value) meaning it could equal 8 or -8 before it's modulus'ed.
Therefore 6n + 7 = 8
or 6n + 7 = -8
Leaving us with:
6n = 1
6n = -15
So n = 1/6
or n = -5/2 (-2.5)
Answer:
n = 1/6 n = -5/2
Step-by-step explanation:
|6n+7|=8
This has two solutions, one positive and one negative
6n+7 = 8 and 6n+7 = -8
Subtract 7 from each side
6n+7-7 = 8-7 6n+7-7 =-8-7
6n =1 6n = -15
Divide by 6
6n/6 = 1/6 6n/6 = -15/6
n = 1/6 n = -5/2
Solve the problem. Show your work. Responses will be graded using the short-response scoring rubric given at the beginning of the lesson.
A right circular cone has a slant height that is twice its radius. The lateral area of the cone is about 569 square millimeters. What is the radius of the cone? Round to the nearest whole millimeter.
A right circular cone has a lateral area of 569 square millimeters, and its slant height is twice its radius. The radius of the right circular cone is approximately 10 millimeters.
Let's assume that the radius of the cone is denoted by 'r' millimeters. According to the problem, the slant height is twice the radius, so it can be expressed as 2r millimeters.
The lateral area of a right circular cone is given by the formula A = πrl, where 'r' is the radius and 'l' is the slant height. We are given that the lateral area of the cone is approximately 569 square millimeters.
Substituting the known values into the formula, we have:
569 = π(r)(2r)
To solve for 'r', we can rearrange the equation:
2πr² = 569
Dividing both sides by 2π, we get:
r² = 569 / (2π)
Using a calculator to evaluate the right-hand side, we find:
r² ≈ 90.7
Taking the square root of both sides, we obtain:
r ≈ √(90.7)
Approximating the square root to the nearest whole millimeter, we find that the radius 'r' is approximately 10 millimeters.
Therefore, the radius of the right circular cone is approximately 10 millimeters.
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Which point is the image of (-7,1) reflected across the y-axis? "-enter answer as an ordered pair without
spaces**
Answer:
The image point of (-7, 1) after reflection across the y-axis is:
(7, 1)Step-by-step explanation:
When a point P(x, y) is reflected across the y-axis, we reverse the sign of the x-coordinate while the y-coordinate remains the same.
Thus,
The rule to reflect a point across the y-axis is:
P(x, y) → P'(-x, y)
In our case, we are given the point (-7, 1)
Let say the point is A(-7, 1).
Thus, using the rule to reflect a point across the y-axis is:
P(x, y) → P'(-x, y)
A(-7, 1) → A'(-(-7), 1) → A'(7, 1)
Therefore, the image point of (-7, 1) after reflection across the y-axis is:
(7, 1)a certain phone company charges $4.50 for the first five minutes of an international phone call. additional time is charged at $.50 per minute. how much would a customer be charged for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day?
A customer would be charged $ 52 for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day.
Charge for first 5 charged = $ 4.50
Charge for additional time = $ 0.50 per minute
Starting time = 9:35 p.m.
End time = 11:15 p.m.
Total minutes = 100 minutes
Total charge = 4.50 + (95 x 0.50)
= 4.50 + 47.50
= 52.00
Hence, a customer would be charged $ 52 for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day i.e. for 100 minutes.
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plsss help i’ll give brainliest if you give a correct answer
Answer:
300
Step-by-step explanation:
Answer: 300
Step-by-step explanation: 0.75×400=300
hope this helped :)
7% of a batch of chocolates were mis-shapes.If there were 2200 chocolates made, how many were mis-shapes?
Answer:
154
Step-by-step explanation:
To find the percentage, we can set up a percentage proportion, where x is 7% of 2200.
\(\frac{x}{2200} = \frac{7}{100}\).
Now we can cross multiply to find the value of x.
\(2200\cdot7=15400\\\\15400\div100=154\)
Hope this helped!
the correct values in the table for y=12|3(x+1)|−6
Given the inequality
y=12|3(x+1)|−6
we sre to fill the table for the va;ues of x from 6 to -5
When x = 6
y = 1/2|3(6+1)|−6
y = 1/2|3(7)|−6
y = 1/2|21|-6
y = 1/2(21)-6
y = 10.5-6 and -10.5-6
y = 4.5 and -16.5
When x = 5
y = 1/2|3(5+1)|−6
y = 1/2|3(6)|−6
y = 1/2|18|-6
y = (9)-6
y = 9-6 and -9-6
y = 3 and -15
When x = 4
y = 1/2|3(4+1)|−6
y = 1/2|3(5)|−6
y = 1/2|15|-6
y = 1/2(15)-6
y = 7.5-6 and -7.5-6
y = 1.5 and -13.5
When x = 3
y = 1/2|3(3+1)|−6
y = 1/2|3(4)|−6
y = 1/2|12|-6
y = (6)-6
y = 6-6 and -6-6
y = 0 and -12
When x = 2
y = 1/2|3(2+1)|−6
y = 1/2|3(3)|−6
y = 1/2|9|-6
y = (4.5)-6
y = 4.5-6 and -4.5-6
y = -1.5 and -10.5
When x = 1
y = 1/2|3(1+1)|−6
y = 1/2|3(2)|−6
y = 1/2|6|-6
y = 3-6
y = 3-6 and -3-6
y = -3 and -9
When x = 0
y = 1/2|3(0+1)|−6
y = 1/2|3(1)|−6
y = 1/2|3|-6
y = 1.5-6
y = 1.5-6 and -1.5-6
y = -4.5 and -7.5
When x = -1
y = 1/2|3(-1+1)|−6
y =1/2(0)−6
y = 0-6
y = -6
When x = -2
y = 1/2|3(-2+1)|−6
y = 1/2|3(-1)|−6
y = 1/2|-3|-6
y = -1.5-6 and 1.5-6
y = -7.5 and -4.5
When x = -3
y = 1/2|3(-3+1)|−6
y = 1/2|3(-2)|−6
y = 1/2|-6|-6
y = -3-6 and 3-6
y = -9 and -3
When x = -4
y = 1/2|3(-4+1)|−6
y = 1/2|3(-3)|−6
y = 1/2|-9|-6
y = -4.5-6 and 4.5-6
y = -10.5 and -1.5
When x = -5
y = 1/2|3(-5+1)|−6
y = 1/2|3(-4)|−6
y = 1/2|-12|-6
y = -1.5-6 and 1.5-6
y = -7.5 and -4.5
what is the probability that the student selected will be one who both walks to school and has been late to school at least once?
15% of the time, the probability that student who chose to walk has been late.
Explain the term random variable?A random variable is either a variable with an unknown value or a function that gives values to each of the results of an experiment. Therefore, the reason why random variables are named random is because it is impossible to determine their value with certainty; instead, we can only guess, and this estimate is known as the probability that a random variable will have a given value.From the stated data-
37.5% of the 40% of students who walk to school have been late.
Thus, 37.5% of 40%
= 0.375 x 0.40
= 0.1500
= 15%
Thus, 15% of the time, the student who chose to walk has been late atleast once .
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The complete question is-
At a large high school 40 percent of the students walk to school, 32 percent of the students have been late to school at least once, and 37.5 percent of the students who walk to school have been late to school at least once. One student from the school will be selected at random. What is the probability that the student selected will be one who both walks to school and has been late to school at least once?
Simplify the following expression. 2x^5+3x^3-5x^2+x^2+7x+1+7x^5-3x^3-4
Option (A) is the correct option and on simplifying the expression by combining like terms we get,
24 - 3p.
Here, we have,
Given, the expression 6(4 - 2p) + 9p
On simplifying, we get
24 - 12p + 9p
24 - 3p
So, on simplifying the given expression, we get
24 - 3p
Hence, Option (A) is the correct option and on simplifying the expression by combining like terms we get,
24 - 3p
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What is the mean absolute deviation of Evelyn's
scores?
5
125
137
138
145
145
O 5.1
O 5.6
O 5.8
13
1
0
7
7
07
Answer:
Step-by-step explanation:
5.6
Answer:
5.6 on edge
Step-by-step explanation:
ur welcome :)
Brett and his family visit a dinosaur park in Moab, Utah. They buy a family pass for $50.00. Moab’s sales tax is 8.6%.
Answer:
it is 45.75 that is the answer
Given parallelogram A B C D below, DE = 31 If EB = x-7, solve for x.
The diagonals of the parallelogram intersect at the center. Then the value of the variable 'x' is 38.
What is a parallelogram?It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal. Its diagonals intersect in the center.
Given parallelogram A B C D below, DE = 31 If EB = x - 7.
By the definition, then the equation is given as,
EB = DE
x - 7 = 31
Simplify the equation, then we have
x - 7 = 31
x = 31 + 7
x = 38
The value of the variable 'x' is 38.
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Distribute
(x-6)(x-7)
a) x^2-13x-15
b) x^2-13x+42
c) x^2+x+42
d) x^2+x-15
Answer:
B. x² - 13x + 42
Step-by-step explanation:
take a look at the pic help meeeeee
Answer:
No
Step-by-step explanation:
The way to show this expression is 6(4+5) because "and" is showing the distributive property.
the annual rainfall in a certain region is approximately normally distributed with mean 42.3 inches and standard deviation 5.6 inches. a) what percentage of years will have an annual rainfall of less than 44 inches? % b) what percentage of years will have an annual rainfall of more than 39 inches? % c) what percentage of years will have an annual rainfall of between 38 inches and 43 inches? %
(A) The percentage is approximately 62.07%.
(B) percentage of years will have an annual rainfall of more than 39 inches is 72.17%.
(C) the smaller percentage from the larger one: 50.48% - 22.17% = 28.31%.
First, let's recall that the normal distribution is characterized by the mean and standard deviation. In this case, the mean annual rainfall is 42.3 inches and the standard deviation is 5.6 inches.
To answer your questions, we'll use the Z-score formula: Z = (X - mean) / standard deviation. Then, we can use a Z-table or calculator to find the percentage.
a) For annual rainfall less than 44 inches:
Z = (44 - 42.3) / 5.6 = 1.7 / 5.6 ≈ 0.3036
Using a Z-table or calculator, the percentage is approximately 62.07%.
b) For annual rainfall more than 39 inches:
Z = (39 - 42.3) / 5.6 = -3.3 / 5.6 ≈ -0.5893
Using a Z-table or calculator, the percentage for LESS than 39 inches is approximately 27.83%. To find the percentage of years with more than 39 inches, subtract from 100%: 100% - 27.83% = 72.17%.
c) For annual rainfall between 38 and 43 inches:
Z1 = (38 - 42.3) / 5.6 ≈ -0.7679
Z2 = (43 - 42.3) / 5.6 ≈ 0.1250
Using a Z-table or calculator, the percentage for Z1 is 22.17%, and for Z2 is 50.48%. To find the percentage between these two Z-scores, subtract the smaller percentage from the larger one: 50.48% - 22.17% = 28.31%.
So, the answers are: a) 62.07%, b) 72.17%, and c) 28.31%.
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What is the "Zero Product Property"?
Provide an example please!!
Answer:
The Zero Product Property basically means that is ab=0 , then either a=0 or b=0. (Or even both). A product of factors is zero if and only if one or more of the factors is zero.
Example: (2x-1 ) (x +4) = 0
Step-by-step explanation:
Which list shows the set of integers? Select one: a. ..., -3 , -2 , -1 , 0 b. 1, 2, 3, ... c. ..., -3 ,-2 , -1 , 0 , 1 , 2 , 3 , ... d. 0, 1, 2, 3, ...
Hey love! <3
Answer:
C. ..., -3 ,-2 , -1 , 0 , 1 , 2 , 3 , ...
Step-by-step explanation:
Integers are inclusive of all numbers that are not a fraction, including negative numbers. The other sets would not be integers because all they have are whole and natural numbers.
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10. A bag contains 3 red marbles, 7 white marbles, and 5 blue marbles. You draw 3 marbles, replacing each one before drawing the next. What is the probability of drawing a red, then a blue, and then a white marble?
the probability of drawing a red, then a blue, and then a white marble is \(=\frac{7}{225}\)
To find probability, we take the number of ways the specific event can occur and divide it by the number of ways any event can occur.
The probability of drawing a red marble is: (of red marbles) / (total # of marbles) = 3/(3 + 7 + 5) = 3÷15 = 1÷5.
The probability of drawing a blue marble is: ( of blue marbles) / (total # of marbles) = 5/(3 + 7 + 5) = 5÷15 = 1÷3.
The probability of drawing a white marble is: ( of white marbles) / (total # of marbles) = 7/(3 + 7 + 5) = 7÷15.
Now, we want these events to all to occur for us. So, we must multiply them by each other: (1/5) * (1/3) * (7/15) \(=\frac{7}{225}\)
Thus, the probability is \(=\frac{7}{225}\)
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The area of the shaded sector below is equal to 8 pie.Find the measure of the central angle (in degrees).
Solution:
Given:
\(\begin{gathered} Area\text{ of sector}=8\pi \\ r=8\text{ }in \end{gathered}\)To get the central angle, we use the formula for the area of a sector;
\(A=\frac{\theta}{360}\times\pi r^2\)Hence, substituting the given values into the formula,
\(\begin{gathered} 8\pi=\frac{\theta}{360}\times\pi\times8^2 \\ 8\pi=\frac{64\pi\times\theta}{360} \\ Cross\text{ multiplying,} \\ 64\pi\theta=360\times8\pi \\ 64\pi\theta=2880\pi \\ \\ Dividing\text{ both sides by 64}\pi, \\ \theta=\frac{2880\pi}{64\pi} \\ \theta=45^0 \end{gathered}\)Therefore, the measure of the central angle of the shaded sector is 45 degrees.
the radius of a sphere increases at a rate of 1 m/sec. find the rate at which the volume increases when the radius is 20 m.
We need to know about rate of change to solve the problem. The rate of change of volume of the sphere is 5026.55 sq/m.
Rate of change of a quantity is the rate at which it increases or decreases. It is given that the radius of the sphere increases at a rate of 1m/second. We need to find out the rate of change of volume of the sphere given the radius is 20m. We can calculate the rate of change of volume by calculating the derivative of volume with respect to time.
V=4/3\(\pi r^{3}\)
dV/dt=4\(\pi r^{2}\) dr/dt =4 x \(\pi\)x20x20x1=5026.55 sq m/ second
Therefore the volume of the sphere increases at a rate of 5026.55 sq/m.
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answers are “-7/4” “-4/7” “7/4” “4/7”
Answer:
-7/4
Step-by-step explanation:
The answer is "- 7/4"
Please help me with this question
Answer:
If you know the area of one triangle, then you can multiply it by 2 to get the area of the parallelogram, because the other triangle is congruent.