Answer:
The slope of this graph is 3.5
Step-by-step explanation:
Because 28/8=3.5
Answer:
3.5
Step-by-step explanation:
3 Geometry problems. Please help!
10) These angles are vertical angles.
Whenever two lines intersect, vertical angles are always formed.
Vertical angles are always congruent so we know that b = 43°.
1) Notice that there is a box at the vertex of <EBF.
This tells us that it measures exactly 90 degrees.
Also note that <ABC is a straight angle which means its 180 degrees.
So we have x + 10 + 90 + 2x + x = 180.
First simplify the left to get 4x + 100 = 180.
Solving from here, we find that x = 20.
2) Notice that <AEC and <DEB are vertical angles.
Vertical angles are congruent so we
can setup the equation 3x + 18 = 5x + 6.
First subtract 3x from both sides to get 18 = 2x + 6.
Now subtract 6 from both sides to get 12 = 2x.
Solving from here, we have x = 6.
Solve for x, using the secant lines.
4 cm
1
20 cm
6 cm
x
X=[?] cm Remember : a • b = c • d
value of x= 10cm
what is secant ?let say we have circle with center O then secant of circle is a line that intersects a circle in two points .
given that according to the figure we need to find x
we apply here ,
secant theorem : the product of the measure of one scent segment and its external secant segment is equal to the other scent segment and its external secant segment.
now ,
first secant is 20+4=24 ,and its external secant is 4
second secant is x+6 , and tis external secant is 6
so here we apply secant theorem.
\(4*(4+20) =6*(6+x)\\4*24=36+6x\\6x=96-36\\x=\frac{60}{6\\}\)
x=10cm
so value of second internal secant is 10 .
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What is the surface area of a cube with a side length of 3/4 inch? Use the expression 6s 2, where is the side length of the cube
Answer: The surface area of the cube would be 3^3/4.
Step-by-step explanation:
A cube has 6 faces [ 6 surfaces ]. Each surface has a square shape.
The area of 1 surface= (side)^2= 3/4 · 3/4= 9/16 sqr.in.
Surface area of cube =9/16 · 1/6= 54/16.
divide both top and bottom (54 and 16) by 2. you should end up with 27/8.
27/8 = 3^3/4 sqr. in.
Hope this helps.
the variance and standard deviation are the most widely used measures of central location.
T/F
False , the variance and standard deviation are not measures of central location
Given data ,
The variance and standard deviation are not measures of central location but measures of dispersion or spread of a dataset
Measures of central location include the mean, median, and mode, which represent the typical or central value of a dataset
The variance and standard deviation are measures of dispersion or spread in a dataset. They provide information about how the values in a dataset are spread out around the mean.
In order to understand the variability or dispersion of data points within a dataset, one must take into account both the variance and standard deviation. They provide information on the range of values and aid in calculating how far away from the mean certain data points are. In statistics and data analysis, these metrics are frequently used to comprehend and evaluate the variance of various datasets.
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Please hurry I need it ASAP
Answer:
x = 18
Step-by-step explanation:
We Know
(10x - 4) + (x - 14) must equal 180°
Find the value of x.
Let's solve
10x - 4 + x - 14 = 180
11x - 18 = 180
11x = 198
x = 18
So, x = 18 is the answer.
The following assign labels for certain contents in the format of label : content. Input only the label associated with the correct content into each of the boxes:
i. Range (A)
ii. Null (A)
iii. Row (A)
iv. Null (A)
The equation Ax=b has a solution only when b is in____ it has a unique solution only when____ contains only the zero vector.
The equation ATy=d has a solution only when d is in___ it has a unique solution only when ____contains only the zero vector. Assume the size of A is m×n.
Assume the size of A is m x n then
when Ax=b has a unique solution, the space____ must be equal to Rn
Hint: any null vector of A must be orthogonal to the rows of A, and the null vector can only be a zero vector when the solution is unique
when ATy=d has a unique solution, the space___ must be equal to Rm Hint: any null vector of AT must be orthogonal to the rows of AT, and the null vector can only be a zero vector when the solution is unique.
i. Range (A): The space spanned by the columns of matrix A. It represents all possible linear combinations of the columns of A.
ii. Null (A): The set of all vectors x such that Ax = 0. It represents the solutions to the homogeneous equation Ax = 0.
iii. Row (A): The space spanned by the rows of matrix A. It represents all possible linear combinations of the rows of A.
iv. Null (A): The set of all vectors y such that ATy = 0. It represents the solutions to the homogeneous equation ATy = 0.
The equation Ax = b has a solution only when b is in the Range (A). It has a unique solution only when the Null (A) contains only the zero vector.
The equation ATy = d has a solution only when d is in the Row (A). It has a unique solution only when the Null (A) contains only the zero vector.
Assuming the size of A is m × n:
When Ax = b has a unique solution, the space Null (A) must be equal to Rn. This means there are no non-zero vectors that satisfy Ax = 0, ensuring a unique solution.
When ATy = d has a unique solution, the space Null (AT) must be equal to Rm. This means there are no non-zero vectors that satisfy ATy = 0, ensuring a unique solution.
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what’s the answer ???
The reasons for the steps are ;
step1 ; collect like terms
step2 : dividing both sides by 6
What is linear equation?A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.
For example , in an equation 6x +5x = 3x + 24 , to find x in this equation we need to follow some steps;
First we collect like terms
6x +5x - 3x = 24
8x = 24
then we divide both sides by the coefficient of x
x = 24/8
x = 3
Similarly , solving 18 - 2x = 4x
collect like terms
18 = 4x +2x
18 = 6x
divide both sides by coefficient of x
x = 18/6 = 3
x = 3
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what is the circumference of a circle with the radius of 5 cm use 3.14 for pi
Answer:
31.42cm
Step-by-step explanation:
A home appraisal company would like to develop a regression model that would predict the selling price of a house based on the age of the house in years (Age), the living area of the house in square feet (Living Area) and the number of bedrooms (Bedrooms). The given Excel output shows the partially completed regression output from a random sample of homes that have recently sold. Which group of independent variables is significant in this model using alphaαequals=0.05?
Answer:
Hello the excel output is missing attached is the excel output for the question
Answer : living area and Bedrooms
Step-by-step explanation:
A significant variable is a variable that is vital in the determination of the outcome of an activity or group of activities, and when the variable is independent is means that other variable does not affect its value or importance.
hence the important independent variable in this question are : Living area (x2) and Bedrooms(x3) because the pvalue < ∝ = 0.05
Edin has £300 in his savings account. His bank offers him a fixed 5% simple interest rate per annum, for a period of 3 years.
Peter wants to rent an apartment for six months . What kind of lease should he look for
Answer:
A short-term lease
Step-by-step explanation:
Answer:
A 6 month lease. NOT a yearly lease.
identify the type i error and the type ii error that correspond to the given hypothesis. the percentage of households with more than1 pet is less than 65%.
Type I error would be that we conclude to reject the null hypothesis that the percentage of households with more than 1 pet is equal to 65 % when that percentage is actually equal to 65%.
Type II error would be that we fail to reject the null hypothesis that the percentage of households with more than 1 pet is equal to 65 % when that percentage is actually different from 65%.
We are given that the percentage of households with more than 1 pet is 65%.
Let p = population % of households with more than 1 pet
So, Null Hypothesis, : p = 65% {means that the percentage of households with more than 1 pet is equal to 65 %}
Alternate Hypothesis, : p 65% {means that the percentage of households with more than 1 pet is different from 65 %}
Type I error states that the null hypothesis is rejected given the fact that null hypothesis was true. Or in other words, it is the probability of rejecting a true hypothesis.
So, in our case, type I error would be that we conculde to reject the null hypothesis that the percentage of households with more than 1 pet is equal to 65 % when that percentage is actually equal to 65%.
Type II error states that the null hypothesis is accepted given the fact that null hypothesis was false. Or in other words, it is the probability of accepting a false hypothesis.
So, in our case, type II error would be that we fail to reject the null hypothesis that the percentage of households with more than 1 pet is equal to 65 % when that percentage is actually different from 65%.
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Planes x and y are perpendicular. Points a, e, f, and g are points only in plane x. Points r and s are points in both planes x and y. Lines ea and fg are parallel. Based on this information, which pair of lines, together, could be perpendicular to rs? select two options.
The pair of lines perpendicular to RS are EA and FG.
A flat surface on which a straight line joining any two points on it would wholly lie is known as a plane.
What is plane?
A plane is a point, a line, and three-dimensional space's equivalent in two dimensions.
Main Body:
Given
E,F and G are on plane X. R and S are in both planes X and Y. EA and FG are parallel. AE and FG are vertical lines and are present on plane X. RS is present at the intersection of the 2 planes.
Explanation:
The lines which together could be perpendicular to RS are EA and FG.
We have to first draw both the planes according to the given information in question.
X is a vertical plane so draw a plane vertical on the horizontal plane that is Y plane. Now plot A and F And G in X plane and R,S in such a way that they are in both plane so they will be at the intersection of both the planes. Now draw lines from A and F to form lines EA and FG.
Hence we can observe that lines EA and FD are perpendicular on line RS.
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CAN SOMEONE HELP ME OUT, PLEASE AND THANK YOU.
Answer:
what do you need help with?
Step-by-step explanation:
The current value of a baseball card is 60 times its original value v (in dollars). The baseball card is worth $15. Write and solve an equation to find the original value of the baseball card. Equation: =15 Original value: $
Answer:
0.25
Step-by-step explanation:
From the information given, you can say that the current value of a baseball card is equal to 60 multiplied for its original value and the equation is:
c=60v, where: c is current value and v is original value
Now, you can replace the current value with 15 that is the value of the baseball card and solve for v:
15=60v
v=15/60=0.25
According to this, the original value of the baseball card is 0.25.
Write the missing decimal so that each pair adds to 1. 2/5+decimal =1
Answer:
0.6
Step-by-step explanation:
We can get the answer by subtracting the decimal by one.
2/5 = 0.4
1 - 0.4 = 0.6
What is x3 = 8/27
Help me please
Answer: x=8/81
Step-by-step explanation
3x divide by 3
8/27 divide by 3
it becomes x=8/27 divide by 3 and 3 becomes 1/3
8/27 x 1/3=8/81
x=8/81
11111111+1111111=???
Answer:
12222222
Step-by-step explanation:
Step-by-step explanation:
1222222is the correct answer
MARK ME AS A BRAINLIST AND FOL-LOW MEPlease help!!!!!!!!!!!!!
Answer:
can you also send a graph that might help rn
Step-by-step explanation:
The box plot represents the number of tickets sold for a school dance.
A horizontal line labeled Number of Tickets sold that starts at 8, with tick marks every one unit up to 30. The graph is titled Tickets Sold for A Dance. The box extends from 17 to 21 on the number line. A line in the box is at 19. The lines outside the box end at 10 and 27.
Which of the following is the appropriate measure of variability for the data, and what is its value?
The IQR is the best measure of variability, and it equals 17.
The range is the best measure of variability, and it equals 4.
The IQR is the best measure of variability, and it equals 4.
The range is the best measure of variability, and it equals 17.
Therefore, the correct answer is: "The IQR is the best measure of variability, and it equals 4."
What is variable?In mathematics, a variable is a symbol or letter that represents a quantity that can vary or change. Variables are used to express mathematical relationships and to represent unknown values.
For example, in the equation "y = 2x + 3", "x" and "y" are variables. "x" represents an unknown value that can vary, while "y" represents the output value that is dependent on the input value of "x".
Variables can take on different values depending on the context of the problem being solved. In algebra, variables are commonly used to solve equations and to represent unknowns in formulas.
It's important to note that variables are not the same as constants, which are values that remain fixed throughout a mathematical expression or equation.
by the question.
The appropriate measure of variability for the data represented by the box plot is the interquartile range (IQR). The IQR is a measure of the spread of the middle 50% of the data, and it is calculated as the difference between the third quartile (Q3) and the first quartile (Q1). In this case, the box extends from 17 to 21, with a line at 19, which means that Q1 is 17 and Q3 is 21. Therefore, the IQR is:
IQR = Q3 - Q1 = 21 - 17 = 4
So, the appropriate measure of variability for the data is the IQR, and its value is 4.
Therefore, the correct answer is: "The IQR is the best measure of variability, and it equals 4."
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Please help‼️ domain and range‼️
The domain and the range of the function are (-∝, ∝) and (0, ∝), respectively
Calculating the domain and range of the graph?From the question, we have the following parameters that can be used in our computation:
The graph
The above graph is an exponential function
The rule of an function is that
The domain is the set of all real values
In this case, the domain is (-∝, ∝)
For the range, we have
Range = (0, ∝)
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Show how 12 is both a multiple of 4 and a factor of 48. Use words, drawings and symbols to explain your answer
Answer:
4x3=12
12x4=48
48/12=4
48/4=12
Step-by-step explanation:
The points on the line are ____ of the equation.
Answer choices:
1) Solution
2) Points
3) Answers
Answer: 2/ Points
Step-by-step explanation:
The points can't make up the answer to the equation, so it can't be 3!
I don't think it is the solution, because on a table points are just points of an equation!
Convert degrees to radians
Show all the work
2. 45
3. 90
Answer:
\(\frac{\pi }{4}\) and \(\frac{\pi }{2}\)
Step-by-step explanation:
To convert from degrees to radians
radian measure = degree measure × \(\frac{\pi }{180}\) , then
(2)
radian measure = 45 × \(\frac{\pi }{180}\) ( cancel 45 and 180 )
= \(\frac{\pi }{4}\)
(3)
radian measure = 90 × \(\frac{\pi }{180}\) ( cancel 90 and 180 )
= \(\frac{\pi }{2}\)
What is the recursive rule for the sequence shown in the graph?
The recursive rule for the sequence in the graph is aₙ = aₙ₊₁ + 4
Recursive rule are the rules that continually takes a previous number and changes it to get to a next number.
It gives first term or terms of sequence and describes how term is related to previous term with an equation.
Looking at the graph ,
taking first two point ,n = 1 and n = 2
At n = 1 , a(n) = 13
At n = 2 , a(n) = 9
so , 9 = 13 - 4
we can write it as,
a₂ = a₁ - 4
Hence , recursive formula for sequence :
aₙ₊₁ = aₙ - 4
bring aₙ to the left
=> aₙ = aₙ₊₁ + 4 is required recursive formula
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Which expression represents the number -2i(5- i) + (17- 8i) rewritten in a + bi
form?
O 15-18i
O 15-2i
O 19 - 18i
O 11 + 8i
Answer:
(a) 15 -18i
Step-by-step explanation:
You want the simplified form of the expression -2i(5- i) + (17- 8i).
Complex numbersFor many purposes, the value i in a complex number can be treated in the same way a variable would be treated. When simplifying an expression involving i, any instances of i² can be replaced with the real value -1.
-2i(5- i) + (17- 8i) = -10i +2i² +17 -8i
= -2 +17 +(-10 -8)i
= 15 -18i
__
Additional comment
Your scientific or graphing calculator can probably help you evaluate such expressions.
calculate the probability the proportion of the 30 americans sampled that agree climate change is an immediate threat to humanity exceeds 35%.
The probability that the proportion of the 30 Americans sampled that agree climate change is an immediate threat to humanity exceeds 35% is approximately 82.38%.
Assuming the sample of 30 Americans is representative of the population, we can calculate the sample proportion as the number of individuals in the sample who agree divided by the total sample size. Let's assume that the sample proportion is p'.
To calculate the probability of the proportion exceeding 35%, we need to find the z-score of the value 0.35 using the formula:
z = (p' - p) / √[p * (1 - p) / n]
where p is the population proportion (which we don't know), and n is the sample size (30 in this case). We can use p' as an estimate of p.
Once we find the z-score, we can use a standard normal distribution table or a calculator to find the probability that the z-score is greater than the value we calculated. This probability is the probability that the proportion of Americans who agree that climate change is an immediate threat to humanity exceeds 35%.
For example, if p' = 0.4, then the z-score is:
z = (0.4 - 0.35) /√ [0.35 * (1 - 0.35) / 30] = 1.03
Using a standard normal distribution table, we can find that the probability of a z-score being greater than 1.03 is approximately 0.8238, or about 82.38%.
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Loren already knows that he will have $500,000 when he retires. If he sets up a payoutannuity for 30 years in an account paying 10% interest, how much could the annuity provideeach month?
The annuity could pay $221.19 per month.
ANNUITY FORMULA: \(P_t=\frac{d\left[\left(1+\frac{s}{n}\right)^{n t}-1\right]}{\frac{s}{n}}\)
Where,
\(P_t\) is the account balance after t years.The regular deposit (the amount you deposit each year or month) is denoted by d.r denotes the annual interest rate in decimal form.n represents the number of compounding periods in a year.t consider the number of years.So,
Loren anticipates having $500,000 when he retires.
\(P_t\) = $500,000He establishes a 30-year payout annuity at a 10%interest.
t = 30 years r = (10/100) = 0.1Each month, the annuity could provide
n = 2In the formula, replace the above values as follows:
500,000 \(=\frac{d\left[\left(1+\frac{1.1}{12}\right)^{(12)(30)}-1\right]}{\frac{11-1}{12}}\)500,000 \(=\frac{d\left[(1.00833333)^{300}-1\right]}{0.00833333}\)500,000 = d [2260.487925]Now, divide both sides by: 2260.487925
d = $221.19Therefore, the annuity could pay $221.19 per month.
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The distribution of blood types for 100 Americans is listed in the table. If one donor is selected at random, Use the table below to answer part a and b O+ O- A+ A- B+ B- Blood Type AB B- AB+ Number 37 6 34 6 10 2 4 1 If one donor is selected at random a) Find the probability of selecting a person with blood type A+ or A- PA+ or A-) = 1 ( the answer has to be in a fraction form , #/# don't simplify the fraction) b) Find the probability of not selecting a person with blood type B+. P(not B+) = (the answer has to be in a fraction form , #/# don't simplify the fraction)
The probability of not selecting a person with blood type B+ is 90/100.
a) To find the probability of selecting a person with blood type A+ or A- (P(A+ or A-)), first count the number of people with each blood type, then divide the sum of those counts by the total number of people (100).
Number of people with blood type A+ = 34
Number of people with blood type A- = 6
P(A+ or A-) = (34 + 6) / 100 = 40/100
So, the probability of selecting a person with blood type A+ or A- is 40/100.
b) To find the probability of not selecting a person with blood type B+ (P(not B+)), first count the number of people without blood type B+ and then divide that count by the total number of people (100).
Number of people with blood type B+ = 10
Number of people without blood type B+ = 100 - 10 = 90
P(not B+) = 90 / 100 = 90/100
So, the probability of not selecting a person with blood type B+ is 90/100.
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Mariano is standing at the top of a hill when he kicks a soccer ball up into the air. The height of the hill is h feet, and the ball is kicked with an initial velocity of v feet per second. The height of the ball above the bottom of the hill after t seconds is given by the polynomial −16t2 + vt + h. Find the height of the ball after 4 seconds if it was kicked from the top of a 25 foot tall hill at 72 feet per second.
The height of the ball after 4 seconds if it was kicked from the top of a 25 foot tall hill at 72 feet per second is 57 feet.
We are given that the height of the ball after t seconds is given by the polynomial −16\(t^{2}\) + vt + h. We need to find the height of the ball after 4 seconds if it was kicked from the top of a 25 foot tall hill at 72 feet per second.
Substituting v = 72 and h = 25 in the given polynomial, we get:
-16\(t^{2}\) + 72t + 25
To find the height of the ball after 4 seconds, we substitute t = 4 in the above polynomial:
-16\((4)^{2}\) + 72(4) + 25 = -256 + 288 + 25 = 57
Therefore, the height of the ball after 4 seconds is 57 feet.
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