The coordinates of the image of vertex after a reflection of r x-axias (x,y) is (x, -y).
To get the coordinates of a point reflected on the x - axis, some important rules be considered here:
1. The x - coordinate of the reflected point is the same as the x - coordinate of the original point.
2. The y - coordinate of reflected point has opposite sign of y-coordinate of original point.
Example:
(1,9) when reflected on the x - axis it will be (1,-9).
Therefore the coordinates of the image of vertex after a reflection of r x-axias (x,y) is (x, -y).
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When the p-value is used for hypothesis testing, the null hypothesis is rejected if?.
If the p-value is less than or equal to the selected significance level, the null hypothesis is rejected; otherwise, it is not. In other words, if p, reject[tex]H_{0}[/tex]; if p>, do not reject [tex]H_{0}[/tex].
In null hypothesis testing, this criterion, also known as (alpha), is frequently set to 05. If there is less than a 5% chance that the null hypothesis would be accepted and a result as spectacular as the effects that result would occur, the null hypothesis is rejected. When this happens, the result is said to be statistically significant.
The null hypothesis would be rejected if a statistical test was conducted with a threshold of relevance = 0.1, 0.05, & 0.01.
If the P value is smaller than alpha, the preset level of statistical significance, the alternative hypothesis is considered instead of the null hypothesis.
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8.How do you know whether the graph of g(x) = a |x| is a vertical stretch or a vertical
shrink of the graph of f(x) = b |x|?
Answer
it’s because of the amplitude the value in the front controls the height
Step-by-step explanation:
A.
one year, the scores on the test were approximately normally distributed with a mean of 420 and a standard deviation of 70. the 81st percentile for this test was . . .
81 percentile of the given test is 482
The square root of the means of the squared deviations from the arithmetic mean is known as the standard deviation. Standard deviation is used in finance to quantify the risks associated with an investment instrument.
Given that the Marble Academy of Whoville conducts an annual test for all high school juniors one year, the scores on the test were approximately normally distributed with a mean of 420 and a standard deviation of 70
Here mean μ = 420 and Standard deviation σ = 70
We have find 81 percentile of this test = ?
The z score corresponding to the area 0.81 is
Z = 0.88 By standard normal table
X = μ + z σ
X = 420 + 0.88 x 70
= 420 + 62
= 482
Therefore 81 percentile of this test is 482
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Choose the correct description of the graph of the inequality x − 3 greater than or equal to 5. (5 points)
Open circle on 8, shading to the left.
Closed circle on 8, shading to the left.
Open circle on 8, shading to the right.
Closed circle on 8, shading to the right.
The correct description of the graph of the inequality x - 3 ≥ 5, is: D. Closed circle on 8, shading to the right.
How to Graph an Inequality?An inequality statement compares two unequal quantities. When plotting the graph of an inequality, if the inequality sign involve is "< or >", an open circle is used to mark the value of the variable on the number line, while a closed circle is used when the inequality sign involved is, "≤ or ≥".
Given the inequality, x - 3 ≥ 5, solve for x:
x - 3 ≥ 5
Add 3 to both sides
x - 3 + 3 ≥ 5 + 3 [addition property]
x ≥ 8
This means the possible values of x are greater than or equal to 8. The graph of the inequality would have a closed circle at 8, with the line shaded to the right on the number line.
The correct description is: D. Closed circle on 8, shading to the right.
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help meeeeeeeeeeeeee pleaseeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
if saint cloud is growing according to the equation pn= 200(1.03)n where n is years after 2010, and the population is measured in thousands. find when the population will be 400 thousand.
In 2267 year, this population would be 400000.
From the question, we have
population is growing as Pn = 200*(1.03)n
substituting the value, we get
400000 = 200*(1.03)n
2000 = 1.03n
ln(2000) = n*ln(1.03)
n = ln(20000) / ln(1.03)
n = 257.15
2010 + 257.15 = 2267 year , this population would be 400000.
Multiplication:
Mathematicians use multiplication to calculate the product of two or more numbers. It is a fundamental operation in mathematics that is frequently utilized in everyday life. When we need to combine groups of similar sizes, we utilize multiplication. The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.
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write a word problem that uses mixed numbers and asks to find the unit price of an item
A word problem that uses mixed numbers and asks to find the unit price of an item is " The price of a cup of rice is $2. Find the price of 3 1/2 cups.
How to illustrate the information?From the information given, we want to find the word problem that uses mixed numbers and asks to find the unit price of an item.
This can be illustrated as the price of a cup of rice is $2. Find the price of 3 1/2 cups.
Therefore, the price of the cups of rice will be:
= 3 1/2 × $2
= $7
The price is $7.
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50 Points
What is the best approximation of the solution to the system to
the nearest integer values?
O(7, -2)
O(-2, 6)
O (6, -2)
O(-2,7)
Answer:
B) (-2, 6)Step-by-step explanation:
The solution of linear system of equations is the point of intersection of the lines.
Closer view of the graph gives us the point ( - 2, 6 ). See the attached.
Add vertical and horizontal lines from the point of intersection and take the closest values to the integer numbers on the x-axis and the y-axis. The numbers are -2 on the x-axis and 6 on the y-axis, therefore the answer is (- 2, 6).
The matching choice is B.
which expression is equivalent to 2 over 5 x 2 over 28
answer:
look
step-by-step explanation:
over? you would have 2 ÷ (5 x 2) ÷ 28. in fraction form.
WILL MARK BRAINLIEST! Determine the quadratic function of the form f(x)= a(x - h)² + k whose graph is given on the
right.
Answer:the quadratic function in f(x)= a(x-h)^2+k is f(x) = - (x - 2)² + 2.I think this is false";}
Step-by-step explanation:
4, 7/4, -1/2, -11/4,
Arithmetic or Geometric
4, 7/4, -1/2, -11/4, is Arithmetic progression.
What is Arithmetic progression ?
An arithmetic progression or arithmetic sequence ( AP ) is a sequence of numbers such that the difference between the consecutive terms is constant.
Here the series is given
4, 7/4, -1/2, -11/4,.....
In series, take 1st and 2nd terms to know common difference.
the common difference is = 7/4 - 4
= (7 - 16) / 4 = -9/4
Now, take 3rd and 2nd term
common difference = -1/2 - 7/4
= (-2 - 7) / 4 = - 9/4
so, we get the common difference is -9/4.
By that we can clearly say that given sequence of series is a Arithmetic sequence.
Hence, 4, 7/4, -1/2, -11/4, is Arithmetic progression
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jeremiah is testing the impact of different fertilizers on crop yields. six different fertilizers have been applied to one field. suppose he uses an anova to test whether or not there are differences in yields. how many treatments are in this test?
The impact of different fertilizers on crop which yields six different fertilizers have been applied to one field. here, the number of treatments in the test are 6.
Treatments are the numerous values of the factor.
The factor here is the effect of various fertilizers on crop yields.
Six different fertilizers were used.
As a result, the number of treatments equals the number of different fertilizers used = 6.
Fertilizers supply essential nutrients such as nitrogen to crops, allowing them to grow larger, faster, and produce more food. However, overfertilization can be a problem because it causes greenhouse gas emissions and eutrophication.
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Which equation is equivalent to y = 3x-6?
0 3x-2y = 6
000
2x+3y = -6
=
O 3x-2y = 12
2x-3y = 18
The equivalent equation for the expression y = 3x-6 is none.
Equivalent equation:
If the two equations are said to be equivalent when they have the same solution set. Then it is called as Equivalent equation.
Given,
Here we have the expression y = 3x-6
Now, we need to find the equivalent equation.
In order to find the equivalent equation, we have to take some sample values for x,
The sample value of x as 1, 2, 3
Now, we have to apply these values on the given expression first,
Then we get,
x = 1 => y = 3(1) - 6 = -3
x = 2 => y = 3(2) - 6 = 0
x = 3 => y = 3(3) -6 = 9
Now, we have to apply these to the given equation and which has the same value of the given expression,
x = 1 => 3(1) - 2y = 6 = -2y = 6 - 3 => y = -3/2
x = 2 => 3(2) - 2y = 6 = -2y = 6 - 6 => y = 0
x = 3 => 3(3) - 2y = 6 = -2y = 6 - 9 => y = 3/2
This is not equal one.
Move on to the second one,
x = 1 => 2(1) + 3y = -6 => 3y = -6 - 2 => y = -8/3
x = 2 => 2(2) + 3y = -6 = 3y = -6 - 4 => y = -10/3
x = 3 => 2(3) + 3y = -6 = 3y = -6 - 6 => y = -4
This is not a equivalent one.
Move on to the third expression,
x = 1 => 3(1) - 2y = 12 = -2y = 12 - 3 => y = -9/2
x = 2 => 3(2) - 2y = 12 = -2y = 12 - 6 => y = -3
x = 3 => 3(3) - 2y = 12 = -2y = 12 - 9 => y = -3/2
This is not a equivalent one.
Finally we have to use the last one, then we get,
x = 1 => 2(1) - 3y = 18 => -3y = 18 - 2 => y = -16/3
x = 2 => 2(2) - 3y = 18 => -3y = 18 - 4 => y = -14/3
x = 3 => 2(3) - 3y = 18 => -3y = 18 - 6 => y = -4
Therefore, none of them are the equivalent one.
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suppose the counts recorded by a geiger counter follow a poisson process with an average of 2 counts per minute. what is the probability that there are no counts in a 30 second interval? round your answer to 3 decimal places. suppose the counts recorded by a geiger counter follow a poisson process with an average of 2 counts per minute. what is the probability that there are no counts in a 30 second interval? round your answer to 3 decimal places.
The probability that there are no counts in a 30 second interval is 0.284
What is probability ?
Probability refers to potential.This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Before we can determine the probability that a particular event will occur, we must first know the total number of outcomes.
Given that,
Assume that a Geiger counter records counts using a poisson process, with an average rate of 2 counts per minute.
0.284
P(X < 10 Seconds) = P(X<1/6 minutes) = F(1/6) = 1-e-2*1/6 = 1-e-1/3 = 0.284
Therefore, the probability that there will be no counts in a 30-second period is 0.284.
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Find the rate of change between the following points:
(2,-1)
(-6,-5)
The rate of change between (2,-1) and (-6,-5) is 1/2.
What is the rate of change?
The slope is the ratio of the rate of change between two points (also known as the "slope") to (the change in the x coordinate).
Let (x,y)=(2,-1), (m,n)=(-6,-5)
Rate of change=(n-y)/(m-x)=(-5-(-1))/(-6-2)=1/2.
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Estimate using compatible numbers 1,710 divided by 32
Compatible numbers are close in value to the real numbers, which simplifies problem-solving and estimation of the solution. 1,7,10/32 has a quotient (integer division) of 53 and a remainder ("leftover") of 14. The dividend is 1,7,10, while the divisor is 32.
Explain about the compatible numbers?Compatible numbers are those that divide equally into each other and are near to the numbers they are replacing. The outcome of a division is the quotient. 55,304 is not too far away from 56,000. 800 splits equally into 56,000 and is reasonably near to 875.
Our minds can occasionally spin when we are asked to find the total (in addition), difference (in subtraction), product (in multiplication), or quotient (in division). By rounding each number to the closest ten, twenty, fifty, or hundred, we employ suitable numbers to make the problem simpler to figure out mentally.
Numbers that are simple to mentally add, subtract, multiply, or divide are said to be compatible. To estimate a calculation, substitute compatible numbers for the actual numbers. Since it is simple to mentally calculate the sum of 800, the numbers 500 and 300 can be added together.
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Consuelo deposited an amount of money in a savings account that earned 6. 3% simple interest. After 20 years , she had earned $5’922 in interest. What was her initial deposit
Consuelo deposited an amount of money in a savings account that earned 6. 3% simple interest. After 20 years , she had earned $5’922 in interest then the initial deposit was $4700
Use the simple interest formula
I = P r t
where I = simple interest
P = principal
r= rate of interest
t= number of years
5922=Px6.3%x20
5922=Px1.26
P=5922/1.26
P=4700
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To keep in shape, Leah exercises at a track near her home. She requires 84 minutes to do 8 laps running and 10 laps walking. In contrast, she requires 66 minutes to do 2 laps running and 10 laps walking. Assuming she maintains a consistent pace while running and while walking, how long does Leah take to complete a lap? Leah takes minutes to run a lap and minutes to walk a lap.
Using a system of equations, it is found that:
Leah takes 3 minutes to run a lap and 6 minutes to walk a lap.
What is the system of equations?The variables of the system of equations are presented as follows:
Variable x: time required to complete a lap running.Variable y: time required to complete a lap walking.She requires 84 minutes to do 8 laps running and 10 laps walking, hence the first equation is:
8x + 10y = 84.
She requires 66 minutes to do 2 laps running and 10 laps walking, hence the second equation is:
2x + 10y = 66.
Simplifying by 2, we have that:
x + 5y = 33.
x = 33 - 5y.
Replacing in the first equation, we can find the time it takes to walk a lap, as follows:
8(33 - 5y) + 10y = 84.
264 - 40y + 10y = 84
30y = 180
y = 180/30
y = 6 minutes.
Then the time it takes to run a lap is obtained as follows:
x = 33 - 5y = 33 - 5(6) = 33 - 30 = 3 minutes.
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Please help,
Will mark as brainliest
Answer: D
Step-by-step explanation:
5 x 3 = 15
8 x 3 = 24
the multipliers are both 3
so they are "similar shapes".
The other options don't have the same multipliers so they aren't right :)
solve this :)
-7m+10m-8=25
Answer:
[tex]\huge\boxed{\sf m = 11}[/tex]
Step-by-step explanation:
Given equation:-7m + 10m - 8 = 25
3m - 8 = 25
Add 8 to both sides
3m = 25 + 8
3m = 33
Divide 3 to both sides
m = 33/3
m = 11
[tex]\rule[225]{225}{2}[/tex]
help I don't understand it
3x+4=9x+3
Answer:
x = 1/6.
Step-by-step explanation:
3x+4=9x+3
STEP 1: Subtract 4 from both sides...
3x+4 -4 = 9x+3 -4
3x = 9x-1
STEP 2: Subtract 9x from both sides...
3x - 9x = 9x-1 -9x
-6x = -1
STEP 3: Divide both sides by -6x...
-6x / -6x = -1/ -6x
x = 1/6x.
REMEMBER: 2 negatives are equal to positive.
I NEED ANSWER URGENTLY
Answer: Y=1
Step-by-step explanation:
Equation - y=mx+b
y2-y1
First point: )-4, 1)
second point: (2,1)
Finding the slope:
m=0
b = ?
1=0x+b
y=0x+1
so thats why its y=1
taking π=22/7, find the circumference of a circle 70cm
The circumference of circle of radius 70 cm is 440 [tex]cm^{2}[/tex].
According to the question,
We have the following information:
Radius of the circle = 70 cm
(Diameter is twice that of its radius..)
We know that the following formula is used to find the circumference of circle:
Circumference of circle = 2πr
(More to know: the formula to find the area of circle is π[tex]r^{2}[/tex].)
(More to know: there are two values of π. One is 3.14 and one is 22/7.)
Circumference of circle = 2*(22/7)*70
Circumference of circle = 440 [tex]cm^{2}[/tex]
Hence, the circumference of the circle of radius 70 cm is 440 [tex]cm^{2}[/tex].
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What is the inequality of the graph below?
Answer:
it should be the first one, if not it’s the third
Step-by-step explanation:
ABCD is parallelogram. AED, CED and BCF are straight lines Find AED , DEF and CFE
By using the properties of parallelogram, it can be calculated that
[tex]\angle CFE = 30^{\circ}[/tex]
[tex]\angle[/tex]DEF = 70°
[tex]\angle AED = 110^{\circ}[/tex]
What is a parallelogram?
Parallelogram is a four sided two dimensional figure whose each pair of opposite sides are parallel.
Here, ABCD is a parallelogram
[tex]\angle CFE = 30^{\circ}[/tex] [Alternate angle]
[tex]140 = \angle CEF + \angle CFE[/tex] [ Exterior angle of a triangle is equal to the sum of two opposite interior angle]
[tex]\\\angle CEF = 140 - 30\\\angle CEF = 110^{\circ}[/tex]
[tex]\angle[/tex]DEF = 180 - 110 [ Angle on a straight line]
= 70°
[tex]\angle AED = 110^{\circ}[/tex] [Vertically opposite angle]
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Matteo buys a basil plant that is 22 cm tall and grows 1/2 a centimeter every day.
A. Write an equation that can be used to solve for the number of days until the plant has a height of 30 cm. Use d to represent the number of days. Label each part of your equation with what it represents.
B. How much does the plant still have to grow?
C. Solve for the value of d. What does this value represen in this problem?
PLEASE SOLVE ALL
A) The equation is 22 + (d * 1/2) = 30
B) The plant that still have to grow 8 cm more
C) d = 16 days, d represents the number of days
Step-by-step explanation:
Given:
Initial height (basil plant at buying) = 22cm
Plant grows on everyday = 1/2cm
A) Given:
Total height (to be grown) = 30 cm.
The equation is,
Initial height+ ( number of days * plant grows on everyday) = Total height
22 + (d * 1/2) = 30 → equation 1
B) The plant that still have to grow = Total height - Initial height
= 30 - 22
= 8 cm
C) Solving the value d using equation 1:
22 = 30 - (d * 1/2)
44 = 60 - d
d = 16 days
Hence, A) The equation is 22 + (d * 1/2) = 30.
B) The plant that still have to grow 8 cm more.
C) d = 16 days, d represents the number of days.
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Can anyone write the equation of the graph?
The graph shows the absolute value function.
y = |x - 3| + 5
How to identify the function in the graph?First, we can see that the shape of the graph is a "V", so we have an absolute value function.
We can see that the slope is 1 (for each horizontal square that the line moves, it also moves one vertically) , so our function will be of the form
y = |x - a| + b
Notice that the above function has a vertex at (a, b)
And the graphed one ahs a vertex at (3, 5), with that we can conclude that the graphed function is:
y = |x - 3| + 5
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Lines L and M are parallel.
What is the value of x?
12
16
29
33
There are 9 adults waiting in line to get the newly released "grown-up" happy meal. What is the probability that
hey are lined up from shortest to tallest?
not an answer, but ik the probability that they'll get one - 0% because they have been discontinued already :D
the mean of a population of iq scores is 100. what is the mean of the distribution of sample means for samples of size 64?
The mean of the distribution of sample means is 100.
Considering the values provided in the question,
Population mean = 100
We know that,
The sample mean is a reliable indicator of the population mean.
That is, E( sample mean)=Mean(sample mean)= population mean
Here population mean is 100, therefore mean of distribution of sample means is also 100.
The total of all the values in a sample is known as the Sample Mean. It is a statistical metric used to examine different variables throughout time. It is calculated by statisticians and researchers by dividing the total sum of all data fragment values by the total number of data sets.
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