Answer:
x = 7
Step-by-step explanation:
corresponding interior angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line
one is an obtuse and one is an acute angle in which sum up to 180°
(120°) + (7x + 11) = 180°
120° + 7x + 11 = 180°
131° + 7x = 180°
131° - 131° + 7x = 180° - 131°
7x = 49°
7x/7 = 49°/7
x = 7°
plug x in to check:
7(7) + 11 = 49 + 11 = 60
Answer:
\(\bf x=7^o\)Step-by-step explanation:
When two parallel lines are crossed by a transversal, co-interior angles They are called co-interior angles. The sum of the two angles on the same side of the transversal is always 180°.
\(\bf 120^o+7x+11=180^o\)
\(\bf 7x+120+11=180\)
\(\bf 7x+131-131=180-131\)
\(\bf 7x=49\)
\(\bf \cfrac{7x}{7}=\cfrac{49}{7}\)
\(\bf x=7^o\)
_____________________Which of the following is most likely the next step in the series?
Answer:
D
Step-by-step explanation:
cus if you count the sides its 6 to 5 to 4 next is 3
Answer:
D
Step-by-step explanation:
6 sides -> 5 sides -> 4 sides -> 3 sides
Triangle has three sides so D.
A bank loans a family $90,000 at 4.5% annual interest rate to purchase a house. The family agrees to pay the loan off by making monthly payments over a 15 year period. How much should the monthly payment be in order to pay off the debt in 15 years? Show all your calculations
Using it's formula, it is found that the monthly payment should be of $688.49 in order to pay off the debt in 15 years.
What is the monthly payment formula?It is given by:
\(A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}\)
In which:
P is the initial amount.r is the interest rate.n is the number of payments.For this problem, the parameters are given as follows:
A = 90000, r = 0.045, n = 15 x 12 = 180.
Hence:
r/12 = 0.045/12 = 0.00375.
Then we solve for A to find the monthly payment, as follows.
\(A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}\)
\(A = 90000(0.00375)\frac{(1.00375)^{180}}{(1.00375)^{180} - 1}\)
A = $688.49
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Some ocean plants grow 6 cm every 2 years.
Select the graph with a slope that best
represents this rate?
Answer: the one to the bottom right. The one under the red one.
Step-by-step explanation:
Hope this helps
*** USING C LANGUAGE ***
*** USING C LANGUAGE ***
During a solar eclipse, the Moon, the Earth and the Sun all lie on the same line as shown in the diagram below (image credit: TimeandDate.com): SUN EARTH MOON Umbra Penumbra We can app
During a solar eclipse, the Moon passes between the Earth and the Sun, causing a shadow to be cast on the Earth's surface. This shadow is composed of two parts: the umbra, which is the innermost and darkest part where the Sun is completely blocked, and the penumbra.
In order to simulate a solar eclipse using the C language, you can utilize graphics libraries such as OpenGL or SDL to create a graphical representation of the Sun, Earth, and Moon. You would need to calculate the relative positions and sizes of the objects to accurately depict their alignment during an eclipse. By manipulating the position of the Moon and the angle of the sunlight, you can animate the shadow cast by the Moon to mimic the progression of a solar eclipse. This can be achieved by updating the positions and orientations of the objects in each frame of the animation.
Additionally, you may consider incorporating user input to control the animation, allowing the user to simulate different phases of a solar eclipse or adjust parameters such as the size and distance of the objects. By implementing the necessary calculations and rendering techniques, you can create a visually appealing and interactive program that demonstrates the phenomenon of a solar eclipse using the C language.
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Under what circumstances would this statement be false
(∀z)(∀y)[(G(z) & W(y)) → E(y,z)]]
a. If there is a goat that was not eaten by a wolf.
b. If there is a wolf that has not eaten a goat.
c. If some goat was eaten by a wolf.
d. If there is a single wolf that has eaten every goat.
The statement (∀z)(∀y)[(G(z) & W(y)) → E(y,z)] would be false under the circumstance described in option d, i.e., if there is a single wolf that has eaten every goat.
The given statement can be translated as "For all z (goats) and y (wolves), if z is a goat and y is a wolf, then y has eaten z." In other words, it asserts that every goat is eaten by a wolf.
Option d contradicts this statement by stating that there is a single wolf that has eaten every goat. If there exists a wolf that has consumed all the goats, then the statement (∀z)(∀y)[(G(z) & W(y)) → E(y,z)] would be false because not every goat is eaten by a wolf in that scenario. Therefore, option d represents the circumstance in which the statement would be false.
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according to the u.s. labor department, the average hourly wage for private-sector production andn nonsupervisory workers as $22.34 in january 2018. assume that the standard deviation for this population is $6 per hour. a random sample of 35 workers from this group was selected. what is the probability that the mean for this sample is less than $21.50?
The probability that the mean for this sample is less than $21.50 is approximately 0.2033.
To solve this problem, we need to use the central limit theorem, which states that the distribution of sample means from a population with a known mean and standard deviation is approximately normal, as the sample size gets larger. In this case, we are given the population mean and standard deviation, so we can assume that the sample means are normally distributed.
The formula for the standard error of the mean is
SE = σ/√n
where σ is the population standard deviation, n is the sample size, and SE is the standard error of the mean.
Plugging in the given values, we get
SE = 6/√35 ≈ 1.013
Next, we need to standardize the sample mean using the z-score formula
z = (X - μ) / SE
where X is the sample mean, μ is the population mean, and SE is the standard error of the mean.
Plugging in the given values, we get
z = (21.5 - 22.34) / 1.013 ≈ -0.829
Now, we need to find the probability that a standard normal variable is less than -0.829. Using a standard normal distribution table or calculator, we find that this probability is approximately 0.2033
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jacques is in primary school and he has 121 classmates, but 19,01% of his classmates are not in school this week. he is playing marbles with his classmates. of 5 classmates he won 36 marbles. of 24 classmates he won 13 marbles. of his other classmates he won 11 marbles per classmate. how many marbles did he win on average per classmate (including the classmates that were not in school)
On average, Jacques won 7.10 marbles per classmate, including those who were absent from school.
Let's start with the total number of classmates. Jacques has 121 classmates, but 19.01% of them are not in school this week. To find out how many classmates are absent, we can multiply the total number of classmates by the percentage of classmates who are absent:
121 x 19.01% = 23
So, Jacques has 121 - 23 = 98 classmates present in school this week.
Now, let's calculate the total number of marbles Jacques won. We know that he won 36 marbles out of 5 classmates, so on average, he won 36 / 5 = 7.2 marbles per classmate. Similarly, he won 13 marbles out of 24 classmates, so on average, he won 13 / 24 = 0.54 marbles per classmate. For the remaining classmates, he won 11 marbles per classmate.
To calculate the total number of marbles Jacques won, we can add up the marbles he won from each group of classmates:
(7.2 x 5) + (0.54 x 24) + (11 x 74) = 856.96
Now, to find the average number of marbles Jacques won per classmate, we divide the total number of marbles he won by the total number of classmates, including those who were absent:
856.96 / 121 = 7.10
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write a equation to find the nth term of each sequence -4, -9, -14, -19. Then find the a24
Given an arithmetic sequence like the one in the question with "a" being the 1st term and "d" being the common difference, the equation to find the nth term of the sequence can be written thus;
\(a_n=a+(n-1)d\)In the question, we've also been asked to find the 24th term of the sequence.
To do that, we need to substitute the values of the variables a, n and d into the above equation.
From the sequence -4, -9, -14, -19, the 1st term(a) is -4, the common difference is -5 and n = 24.
Let's substitute and find the 24th term of the sequence;
\(\begin{gathered} a_{24}=-4+(24-1)(-5)_{}_{} \\ =-4+(23)(-5) \\ =-4-115 \\ =-119 \end{gathered}\)Therefore, the 24th term of the sequence is -119.
Help me please i need you help
The mean and standard deviation of the data sets are;
a. 60.83, 15.11
b. 44, 4.03
c. 7.2, 3.7
d. 114.4, 10.74
What is mean and standard deviation of data?The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
The mean of a data is the average of the data across the points.
a. data set; 35, 50, 60, 75, 65, 80
mean = 60.83
standard deviation = 15.11
b. data set; 51, 48, 47, 46, 45, 43, 41, 40, 40, 39
mean = 44
standard deviation = 4.03
c. data set; 11, 7, 14, 2, 8, 13, 3, 6, 10, 3, 8, 4, 8, 4, 7
mean = 7.2
standard deviation = 3.7
d. data set; 135, 115, 120, 110, 110, 100, 105, 110, 125
mean = 114.4
standard deviation = 10.74
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Find the new coordinates for the image under the given dilation. Rhombus WXYZ with vertices W(1, 0), X (4,-1), Y(5,-4), and Z(2, -3): k = 3. W' (.) x' (,) X' Y'(,) Z' (
the new coordinates of the rhombus W'X'Y'Z' after a dilation with scale factor k=3 are: \(W'(3,0), X'(12,-3), Y'(15,-12), Z'(6,-9)\)
What are the coordinates?To find the new coordinates of the image after dilation, we need to multiply the coordinates of each vertex by the scale factor k = 3.
Let's start with vertex W(1,0):
Multiply the x-coordinate by \(3: 1 *\times 3 = 3\)
Multiply the y-coordinate by \(3: 0 \times 3 = 0\)
So the new coordinates of W' are \((3,0).\)
Next, let's look at vertex X(4,-1):
Multiply the x-coordinate by \(3: 4 \times 3 = 12\)
Multiply the y-coordinate by \(3: -1 \times 3 = -3\)
So the new coordinates of X' are \((12,-3).\)
Now for vertex Y(5,-4):
Multiply the x-coordinate by \(3: 5 \times 3 = 15\)
Multiply the y-coordinate by \(3: -4 \times3 = -12\)
So the new coordinates of Y' are \((15,-12).\)
Finally, let's consider vertex Z(2,-3):
Multiply the x-coordinate by \(3: 2 \times 3 = 6\)
Multiply the y-coordinate by \(3: -3 \times3 = -9\)
So the new coordinates of Z' are \((6,-9)\) .
Therefore, the new coordinates of the rhombus \(W'X'Y'Z'\) after a dilation with scale factor k=3 are:
\(W'(3,0)\)
\(X'(12,-3)\)
\(Y'(15,-12)\)
\(Z'(6,-9)\)
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Graph f(x) = - |x + 4| - 3.
Answer:
Graph and small table are attached.
Step-by-step explanation:
The graph of f(x) = - |x + 4| - 3 is attached. Here is a small table as well.
x : y
-2 : -5
-1 : -6
0 : -7
1 : -8
2 : -9
CAN SOMEONE HELP ME PLS
Answer:
9.2
Step-by-step explanation:
Find the coordinates and plug em into the equation. (-5,5) (1,-2)
Square root 85 is 9.2.
Answer:
9.2 (if rounded to the nearest tenth)
Please help I’ll give brainiest!
Answer:B
Step-by-step explanation:
I did the google assignment
-5(x-1) = 40
whats the answer
Answer:
x = -7
Step-by-step explanation:
-5(x-1) = 40
Divide each side by -5
-5(x-1)/-5 = 40/-5
x-1 = -8
Add 1 to each side
x-1+1 = -8+1
x = -7
Answer:
x = -7
Step-by-step explanation:
-5(x-1) = 40
-5x + 5 = 40
5x - 5 = - 40
5x = 5 - 40
5x = - 35
x = -35/5
x = -7
5 people want to split a bag that holds 36 pounds of rice equally.
Answer:
Give 7.2 Pounds of rice to each other
Step-by-step explanation:
Firstly, Start multiplying in whole numbers, In 5's leaves 25, on 6's leaves 30, on 7's leaves 35. Now add decimals. 7.1 wont work since multiplying by 5 would leave 35.5, But 0.2 times 5 leaves 1, So 7.2 Times 5 equals 36
Find the mean of thefollowing probability distribution. x 0 1 2 3 4 P(x) 0.19 0.37 0.16 0.26 0.02
The mean of this probability distribution is 1.55.
To find the mean of a probability distribution, we need to multiply each possible value by its corresponding probability, and then add up these products. So, the mean is:
mean = (0)(0.19) + (1)(0.37) + (2)(0.16) + (3)(0.26) + (4)(0.02)
= 0 + 0.37 + 0.32 + 0.78 + 0.08
= 1.55
Therefore, the mean of this probability distribution is 1.55.
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HELP MEEEE PLEASE i don't know how to do this
Answer:
5 hours
Step-by-step explanation:
35x+25 = 40x
25=5x
x= hours
Last one pls help me
Answer:
√89
Step-by-step explanation:
I assume you have to find the short cut, right?
5² + 8² = 25 + 64 = 89 = ( √89 )²
cos s=-2/5 and sin t=4/5, s and t are in quadrant II
find cos(s+t) and cos(s-t)
Answer:
•cos(s+t) = cos(s)cos(t) - sin(s)sin(t) = (-⅖).(-⅗) - (√21 /5).(⅘) = +6/25 - 4√21 /25 = (6-4√21)/25
•cos(s-t) = cos(s)cos(t) + sin(s)sin(t) = (-⅖).(-⅗) + (√21 /5).(⅘) = +6/25 + 4√21 /25 = (6+4√21)/25
cos(t) = ±√(1 - sin²(t)) → -√(1 - sin²(t)) = -√(1 - (⅘)²) = -⅗
sin(s) = ±√(1 - cos²(s)) → +√(1- cos²(s)) = +√(1 - (-⅖)²) = √21 /5
Like a family tree, a ________ shows the inheritance relationship between classes.
a. flowchart
b. class map
c. class hierarchy
d. binary tree
A class hierarchy is a diagram that shows the inheritance relationship between classes.
It is similar to a family tree in that it shows the parent-child relationships between classes. In a class hierarchy, the parent class is called the superclass and the child class is called the subclass. The subclass inherits the properties and behaviors of the superclass, and can also add new properties and behaviors of its own.
The class hierarchy is an important concept in object-oriented programming, as it allows for code reuse and the creation of complex systems with modular, reusable components.
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What is the product of 2.4 ⋅ 103 and 1.5 ⋅ 103? (1 point)
3.6 ⋅ 106
3.9 ⋅ 106
3.6 ⋅ 109
3.9 ⋅ 109
the product of 2.4 ⋅ 103 and 1.5 ⋅ 103 is mathematically given as
x'= 247.2
y= 154.5
What is the product of 2.4 ⋅ 103 and 1.5 ⋅ 103?
Generally, the equation Products for is mathematically given as
x=2.4 · 103
x'= 247.2
y=1.5 · 103
y= 154.5
In conclusion,
x'= 247.2
y= 154.5
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For a given population, the mean of all the sample means Picture of sample size n, and the mean of all (N) population observations (X) are _______.
The mean of all the sample means (which is equal to the population mean) and the mean of all (N) population observations (X) are both equal to the population mean μ.
The mean of all the sample means of a given population is equal to the population mean, which is denoted by the symbol μ. This is a consequence of the central limit theorem, which states that the distribution of the sample means becomes approximately normal as the sample size n becomes larger, with mean equal to the population mean μ.
The mean of all (N) population observations (X) is simply the population mean, which is also denoted by the symbol μ. It represents the average value of the variable of interest across all individuals in the population.
Therefore, the mean of all the sample means (which is equal to the population mean) and the mean of all (N) population observations (X) are both equal to the population mean μ.
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PLS HELP!!!!!! Which of the following uses the reciprocal property to rewrite x/6 = 28/3 x/3 = 6/28. x/28 = 3/6. 6/x = 3/28. x/6 = 28/3
Answer:
6/x = 3/28.
Step-by-step explanation:
Both fractions are inverted.
Taking the reciprocals:
1 /x/6 = 6/x and
1 / 28/3 = 3/28.
Answer:
6/x = 3/28
Step-by-step explanation:
The mathematically appropriate way to say 1.27 is;
A. one hundred twenty seven
B. one point two seven
C. One and twenty seven hundreds
D. one point twenty seven hundreds
E. one and twenty seven hundredths
The mathematically appropriate way to say 1.27 is "one and twenty-seven hundredths," option E is the correct answer.
When expressing numbers with decimal places, it is important to use the appropriate mathematical terminology to ensure clarity and precision. The number 1.27 can be expressed as "one and twenty-seven hundredths."
The digits after the decimal point represent fractions of a whole number, with each digit to the right of the decimal point representing a power of ten that is one-tenth the value of the previous digit.
Using the correct terminology when discussing numbers with decimal places can help avoid confusion and miscommunication. In particular, expressing the fractional component using hundredths is often preferred when working with financial or scientific data.
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Which values are areas of cross sections that are parallel to a face of this right rectangular prism?
480 square units
120 square units
80 square units
24 square units
The value is 24 square units is parallel to the face of the right rectangular prism.
We can see that the face of the given rectangular prism shows a width 4 and a height of 6. If we cut the figure at any point along the length 20, such that the cross-section is parallel to the face, the cross-section, which occurs at x length, will always have the same dimensions, which are 4 and 6.
So the area of the cross-section which is parallel to the face of the given rectangular prism is given by:
A = 6 × 4
A = 24
Thus, the value is 24 square units is parallel to the face of the right rectangular prism.
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A = 6 × 4
A = 24
Thus, the value is 24 square units is parallel to the face of the right rectangular prism.
In a class of students, the following data table summarizes how many students play
an instrument or a sport. What is the probability that a student chosen randomly
from the class plays a sport?
Plays a sport
Does not play a sport
Plays an instrument Does not play an instrument
3
8
10
9
Answer:
3 OR 8 hope this helps!
Step-by-step explanation:
Is the relation represented in this table a function? Helppp
PLEASE HELP Write an equation of the line shown in the graph in slope intercept form (y = mx + b).
Show your work for full credit.
(1,2) (6,0)
Answer:
y = -2/5x + 12/5
Step-by-step explanation:
(1,2) and (6,0)
Slope:
m=(y2-y1)/(x2-x1)
m=(0-2)/(6-1)
m=(-2)/5
m = -2/5
Slope-intercept:
y - y1 = m(x - x1)
y - 2 = -2/5(x - 1)
y - 2 = -2/5x + 2/5
y = -2/5x + 12/5
- 6(x - 2) = 36 or 4 + x < 14 Step 3 of 4: Using your answers from the previous steps, solve the overall inequality problem and express your answer in interval notation. Use decimal form for numerical values.
Question:
Solution:
Consider the following inequalities system :
Inequality 1:
\(-6(x-2)\text{ }\leq36\)or
Inequality 2:
\(4+x<14\)Applying the distributive property in inequality 1, we obtain:
\(-6x+12\text{ }\leq36\)this is equivalent to:
\(-6x\text{ }\leq36-12\text{ = 24}\)that is:
\(-6x\leq24\)this is equivalent to:
\(6x\ge-24\)solving for x, we get:
\(x\text{ }\ge-\frac{24}{6}\text{ = -4}\)that is:
\(x\text{ }\ge\text{ -4}\)Then inequality 1 is equivalent to the following solution
\(x\text{ }\ge\text{ -4}\)On the other hand, for inequality 2 solving for x, we get:
\(x<14-4\text{ = 10}\)that is:
\(x<10\)so that, the solution to the inequality system is
\(x\text{ }\ge\text{ -4}\)or
\(x<10\)now, this is equivalent to say:
\(x\text{ }\ge\text{ -4 U x<10}\)or in interval notation:
\(\lbrack-4,+\infty)\text{ U (-}\infty\text{,10) }\)What does the "b" in y=mx+b form stand for?
A.change in x over change in y
B. y-intercept
C.slope
D.No answer text provided,