The measure of angle BCA = The measure of angle C prime A prime B.
How to calculate the measure of each angle in triangle ?Given that
Triangle ABC is transformed to triangle A′B′C′, as shown below:
A coordinate grid is shown from negative 4 to 0 to 4 on both x- and y-axes.
A triangle ABC has A at ordered pair negative 1, 3, B at ordered pair 0, 1, C at ordered pair negative 3, 0.
A triangle A prime B prime C prime has A prime at ordered pair negative 1, negative 3, B prime at ordered pair 0, negative 1, C prime at ordered pair negative 3, 0.
According to the question
Triangle ABC is transformed to triangle A′B′C′, as shown below:
Here the triangle ABC is similar A'B'C' are similar triangles.
For similar triangles angles are congruent.
A triangle ABC has A at ordered pair negative 1, 3, B at ordered pair 0, 1, C at ordered pair negative 3, 0.
A triangle A prime B prime C prime has A prime at ordered pair negative 1, negative 3, B prime at ordered pair 0, negative 1, C prime at ordered pair negative 3, 0.
Therefore,
<BAC = <B'A'C'
<ABC = <A'B'C'
<ACB = <A'C'B'
Hence, The correct relationship between the measures of the angles of the two triangles is the measure of angle BCA = The measure of angle C prime A prime B.
The complete question is : Triangle ABC is transformed to triangle A′B′C′, as shown below: A coordinate grid is shown from negative 4 to 0 to 4 on both x- and y-axes. A triangle ABC has A at ordered pair negative 1, 3, B at ordered pair 0, 1, C at ordered pair negative 3, 0. A triangle A prime B prime C prime has A prime at ordered pair negative 1, negative 3, B prime at ordered pair 0, negative 1, C prime at ordered pair negative 3, 0. Which equation shows the correct relationship between the measures of the angles of the two triangles? The measure of angle CAB = The measure of angle C prime B prime A prime The measure of angle BCA = The measure of angle A prime B prime C The measure of angle CAB = The measure of angle C prime A prime B prime The measure of angle BCA = The measure of angle C prime A prime B prime
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Two questions show work
1. What is 0.00526 in scientific notation?
2. What is 0.00639 in scientific notation?
1. To convert 0.00526 into scientific notation, follow these steps:
Move the decimal 3 times to right in the number so that the resulting number, m = 5.26, is greater than or equal to 1 but less than 10
Since we moved the decimal to the right the exponent n is negative
n = -3
Write in the scientific notation form, m × 10n
= 5.26 × 10-3
Therefore, the decimal number 0.00526 written in scientific notation is 5.26 × 10-3 and it has 3 significant figures.
2. To convert 0.00639 into scientific notation also known as standard form, follow these steps:
Move the decimal 3 times to right in the number so that the resulting number, m = 6.39, is greater than or equal to 1 but less than 10
Since we moved the decimal to the right the exponent n is negative
n = -3
Write in the scientific notation form, m × 10n
= 6.39 × 10-3
Therefore, 0.00639 in scientific notation is 6.39 × 10-3 and It has 3 significant figures. In scientific e-notation it is written as 6.39e-3.
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Consider the system of equations
4 x+4 y=-12
3 x-4 y=-23
Part A: Solve the system. Show your work.
Part B: Use the solution to your equation to find the value of x-y. Show your work.
x-y=___
The value of x and y is x = -5 and y = 2
x - y = -7
What is an equation ?
An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated by the symbol "equal."
The three main types of linear equations are the slope-intercept form, standard form, and point-slope form.
Solving the equation
4x + 4y = -12 ⇒(1)
3x - 4y = -23 ⇒(2)
eq (1)*3 eq (2)*4
12x + 12y = -36 ⇒ (3)
12x - 16y = -92 ⇒ (4)
Solving eq (3) and eq (4)
28 y = 56
y = 2
substituting the value of y in eq (1)
4x + 4(2) = -12
4x + 8 = -12
4x = -12 - 8
4x = -20
x = -5
x - y = -5 -2
= -7
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I’ll mark you BRAINLIST please help!!
I'm sorry i don't know :(
Sammy used his past health history and information about his doctor visits to create this table to compare health costs with and without insurance.
Probability of
Needing the
Service
100%
30%
18%
6%
Description of
Service
annual premium
single doctor visit
two doctor visits
medication
What is the expected value of each option?
Cost with
Insurance Plan
$1,580
$25
$50
$24
The expected value of health care without insurance is $
The expected value of health care with insurance is $
Cost Without
Insurance Plan
$0
$350
$700
$75
Answer:
W/O insurance: 235.50
with insurance: 1597.94
Step-by-step explanation:
Weighted Average:
annual premium 1 $1,580.00 $0
single doctor visit 0.3 $7.50 $105
two doctor visits 0.18 $9.00 $126
medication 0.06 $1.44 $5
$1,597.94 $235.50
RECALL
Set 4: Given the center and a point on the circle.
Distance Formula
13. center. (9, 10),
point on circle: (7,4)
15. center: (2,-6),
point on circle: (1,10)
Midpoint Formula
14. center: (1.-5),
point on circle: (-7.-13)
16. center: (-2, 0),
point on circle: (-9,-4)
Distance is the measure from one point to another point. Given, any two points distance is [tex]\sqrt{(x1-x2)^{2} }+\sqrt{(y1-y2)^{2} }[/tex].
Define Midpoint.Midpoint is the mid-value of two points.
Midpoint = [ x₁+x₂/2 , y₁+y₂/2]
So, for the given centre (9, 10) and point on circle(7,4)
Centre = [tex]\sqrt{}[/tex](9-7)²+(10-4)²
= [tex]\sqrt{}[/tex]4+36
= 6.32
For the given centre (2,-6) and point on circle (1,10)
Centre = [tex]\sqrt{}[/tex](2-1)²+(-6-10)²
=[tex]\sqrt{}[/tex]1+256
=16.03
For given centre (1,-5) and point on circle(-7,-13)
Midpoint = [ 1-7/2 , -5-13/2]
= [-3, -9]
For given centre(-2,0) and point on circle(-9,-4)
Midpoint = [-2-9/2 , 0-4/2]
= [-5.5,-2]
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Given, center (9,10) and point on circle is (7,4) distance is 6.32. And center (2,-6) and point on circle (1,10) distance is 16.03.
Given center (1, -5) and point of circle(-7,-13) midpoint is (-3,-9). And center (-2,0) and point on circle (-9,-4) midpoint is (-5.5,-2).
What is Distance and midpoint?Distance is the measure from one point to another point. Given, any two points distance is -
[tex]\sqrt{x_1^2-x_2^2} +\sqrt{y_1^2-y_2^2}[/tex]
Midpoint is the mid-value of two points. Midpoint = [(x₁+x₂)/2, (y₁+y₂)/2]
So, for the given center (9, 10) and point on circle(7,4)
Center = (9-7)²+(10-4)²
= 4+36
= 6.32
For the given center (2,-6) and point on circle (1,10)
Center = (2-1)²+(-6-10)²
= 1+256
= 16.03
For given center (1,-5) and point on circle(-7,-13)
Midpoint = [ 1-7/2 , -5-13/2]
= [-3, -9]
For given center (-2,0) and point on circle(-9,-4)
Midpoint = [-2-9/2,0-4/2]
= [-5.5,-2]
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Which ordered pair is a solution of the inequality?
y ≥ 4x - 5
O (3,0)
O (1, 1)
O (2, 1)
O (3, 4)
Answer:
3_0
Step-by-step explanation:
For every $45 she earns Emily puts $18 into saving what percent of her pay does she put into her saving?
Using the concept of ratio, the percentage Emily saved is 40%
What is Percentage?Percentage can be defined as a ratio or a number which can be expressed as a fraction of 100. When we need to calculate percent of a number, divide the number by the whole and multiply by 100. The percentage in this can be said to be a part per hundred.
Data;
Total amount earned = 45Amount saved = 18The percentage saved = (amount saved / total amount earned) * 100
Substituting the values into the equation above;
The percentage saved = (18 / 45) * 100
The percentage saved = 0.4 * 100
The percentage saved = 40%
The percentage saved is 40%
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Write and graph the inverse of y=-x²+9
Write the inverse of y=-x²+9
y=
(Simplify your answer. Use a comma to separate answers as needed.)
The inverse of y=-x²+9 is [tex]x=\sqrt{9-y}[/tex]
What is Inverse of a Function ?
A function takes in values, applies specific operations to them, and produces an output. The inverse function acts, agrees with the outcome, and returns to the initial function.
The output of a function is returned by the inverse function, which also returns the initial value.
If f and g are inverse functions, then f(g(x)) = g(f(x)) = x. The initial value is fetched via a function that is its inverse.
For instance, f(x) = 2x + 5 = y
Therefore, the inverse of f is g(y) = (y-5)/2 = x. (x).
The relationship that results from swapping out an independent variable with a variable that depends on a given equation; the inverse may or may not be a function.
A function is said to be an inverse function if its own inverse is represented by the symbol f-1.
[tex]x^2=9-y\\\\\x=(9-y)^\frac{1}{2}\\\\ x=\sqrt{9-y}[/tex] is the inverse of y=-x²+9
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Evaluate the verbal expression below where x = 3 and y = 4.
The quantity of 6 less than y, raised to the power of x
A. 8
B. 58
C. -58
D. -8
The evaluated expression the quantity of 6 less than y, raised to the power of x is - 8. Therefore, the correct option is D.
How to evaluate an expression?The quantity of 6 less than y, raised to the power of x can be expressed as follows:
The verbal expression can be converted to a mathematical expression as follows:
(y - 6)ˣ
when
y = 4
x = 3
Therefore,
(y - 6)ˣ = (4 - 6)³
Therefore,
(4 - 6)³ = (-2)³
(-2)³ = -8
Therefore, the evaluated expression is -8.
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Determine the product
(2x+5)(x²-x+2)
Answer:
2x³ + 3x² - x + 10
Step-by-step explanation:
2x³ - 2x² + 4x + 5x² - 5x + 10
2x³ + 3x² - x + 10
The quadrilateral below, JKLM, is a rhombus.
If MN=15 and JL=24, what is the length of JK ?
Note: Write your answer in simplest radical form. In the first blank put the coefficient in front of the V. And in the second blank, put the coefficient that is inside the v.
"* If there is no coefficient in front of the V, enter a 1 in the blank **
JK=
Liam spent $5.76 on 12 pounds of potatoes. How much did he spend per pound? How to solve this step by step
He spend 0.48 per pounds
What is division ?
Division in mathematics is the process of dividing an amount into equal parts. For instance, we may split a group of 20 people into four groups of 5, five groups of 4, and so on.
One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division. The other operations are multiplication, addition, and subtraction.
A group is divided into equal portions. Division can be used to divide a class into equal groups for a game or activity, or even to divide a pizza among a group of friends in equal quantities. Partitive division and quotative division are the two types of division.
As it is $5.76 for 12 pounds
∴ for one pound
5.76 / 12
= 0.48 pounds
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Imagine that a school recently issued requests that all students change their login passwords to improve security and prevent unauthorized access to student accounts.
One of your friends claims that the best password (from a purely probabilistic perspective) is one that is short but highly complex. They decide to create a randomly generated 7-character password that contains both upper- and lower-case letters (A – Z and a – z) and numbers (0 to 9). What is the probability of guessing their password based on these conditions?
Answer:
The probability of guessing this password is 1 in 62^7, or approximately 1 in 5.4 trillion.
Step-by-step explanation:
Based on the information you provided, your friend's password is a randomly generated 7-character password that contains both upper- and lower-case letters and numbers. This means that the password could be any combination of the 62 possible characters (26 upper-case letters, 26 lower-case letters, and 10 digits).The probability of guessing this password is 1 in 62^7, or approximately 1 in 5.4 trillion. This means that, in theory, it would take someone a very long time to guess your friend's password by randomly trying different combinations of characters.However, it's important to note that there are other factors that can affect the security of a password, such as whether the password is easy to guess or has been used before by the user or someone else. It's generally recommended to use a long, complex password that is unique and not easily guessable to maximize security.
Answer: 1/(3,521,614,606,208)
Explanation:
There are 26 letters in the English alphabet. This doubles to 52 when considering upper and lowercase letters. Then add on 10 more because of the digits 0 through 9.
In total, there are 2*26+10 = 52+10 = 62 different characters to pick from for any given slot of the 7-character password.
Assuming repeated characters are allowed, this then gives us
62^7 = 3,521,614,606,208
different passwords possible. This massive number is a little over 3.5 trillion. In scientific notation, it is approximately equal to 3.522 * 10^12
The probability of randomly guessing the correct password is 1 over that massive number, since there's only one way to get the correct password. We get the fraction 1/(3,521,614,606,208)
We can say the odds of guessing the correct password are roughly 1 in 3.5 trillion.
write each decimal as a fraction or mixed number in simplest form
1.-0.14
2.0.27
Write each decimal as a fraction or mixed number in simplest form
-0.14
= -14/100
= -7/50
_________________________
0.27
= 27/100
can anyone explain these 3 questions to me in detail and how the answer is found
The solution to the first and the second equation are 28.648 and 183.5 respectively.
What is a radical expression?A radical expression is an expression consisting of a square root or nth root.
(1) The given equation is [tex]-5\sqrt[4]{x-1}=12[/tex].
Solve the equation as follows:
[tex]-5\sqrt[4]{x-1}=12\\\\\sqrt[4]{x-1}= -\frac{12}{5}\\\\(x-1) = (-\frac{12}{5})^4\\x-1 = 27.648\\x = 28.648[/tex]
(2) The given equation is [tex]-2\sqrt[6]{4x-5}+9 =3[/tex].
Solve the equation as follows:
[tex]-2\sqrt[6]{4x-5}+9 =3\\ \\2\sqrt[6]{4x-5}= 9-3\\\\\sqrt[6]{4x-5}=3\\\\4x-5=3^6\\\\4x=729+5\\\\x=734/4\\\\x=183.5[/tex]
The third equation is the same as the first equation.
Hence, the solution to the first and the second equation are 28.648 and 183.5 respectively.
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is the point (-5, 1) on the line y=-2x-9
Answer:
No
Step-by-step explanation:
1 = 2(-5) - 9
1 = -10 - 9
1 ≠ -19, therefore that point does not lie on the line
Use quadratic regression to find a model for the following data set. (Round the terms to four decimal places.) f(x)=___________________________________x 1 3 5 6 8f(x) 2.1 7.4 28.4 34.9 64.4
Use quadratic regression a model for the following data set is [tex]y=1.96 x^2-5.2 x+5.33[/tex].
What is quadratic regression?
A statistical method called quadratic regression is used to identify the parabola equation that best fits a given collection of data. Finding the equation of the straight line that most closely fits a collection of data is the goal of this sort of regression, which is an extension of simple linear regression.
The equation of the parabola that best fits a collection of data is the process of a quadratic regression. As a consequence, we arrive at the equation y=ax2+bx+c where a≠0. The least squares approach is the most effective way to manually locate this equation.
[tex]$$\begin{aligned}& x=1, f(x)=2.1 \\& x=3 \quad f(x)=7.4 \\& x=5 \quad f(x)=20 \cdot 4 \\& y=a x^2+b x+c \\& \text { Print (1) } \\& 2 \cdot 1=a(1)^2+b \times 1+c \\& 2.1=a+b+c \\& \text { Point(2) } \\& 7.4=a(3)^2+b \times 3+c \\& 7.4=9 a+3 b+c \\& \text { Poin (3) } \\& 28.4=a(5)^2+b \times 5+c \\& 28 \cdot 4=25 a+5 b+c \\& \text { by solving (4) (5) (6) } \\& a=1.96 \\& b=-5.2 \\& c=5.33 \\&\end{aligned}$$[/tex]
so, quadratic equation -
[tex]y=1.96 x^2-5.2 x+5.33[/tex]
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Services provided by public service companies are also known as
OA. housing expenses
OB. bills
C. cost of living
D. utilities
Services provided by public service companies are also known as utilities.
What are public utilities, housing expenses, cost of living and bills?
The term "public utilities" describes a group of particular services offered by entities and organisations that are both public and private and make up the public services sector.
The sum of a homeowner's monthly mortgage principal and interest payments and any additional costs related to their home constitutes their total housing expense.
The cost of living is the sum of money required in a certain location and time frame to meet necessities including housing, food, taxes, and medical care.
A declaration of money owed for products or services provided is referred to as a bill.
Based on the above definition,
Hence, services provided by public service companies are also known as utilities.
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2-[(8×2)+(8×2)]+2=A
The value of A is -28 according to arithmetic
What is BODMAS?
BODMAS is associate descriptor and it stands for Bracket, Order, Division, Multiplication, Addition, and Subtraction. In sure regions, PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction) is employed, that is that the word of BODMAS.
Main body:
According to question:
2-[(8×2)+(8×2)]+2=A
to find: value of A
firstly we need to remove brackets according to rule
⇒2-[(8×2)+(8×2)]+2
⇒2-[16+16]+2
⇒2- 32 +2
⇒-28
hence value of A is -28
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What is the left cv and the right cv?
The critical values and shecht the rejection reglues for a theo-tall tent, in a Z procedure with significance level isterse is (-1.812,1.812).
[tex]$\alpha=0.07$[/tex] This is two tailed lest
critical values are [tex]$\pm 1.812$[/tex]
What is critical values ?
A critical value is a value used as a cut-off to indicate the beginning of a zone where the test statistic from a hypothesis test is unlikely to decrease. In hypothesis testing, the crucial value and the resulting test statistic are compared to decide whether or not the null hypothesis has to be rejected.
For hypothesis testing, the crucial value graphically separates the graph into the acceptance region and the rejection zone. A test statistic's statistical significance should be verified. We will learn more about the critical value in this article, including its types, formula, and calculation method.
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Sam invests $ 4500 into an account earning 7.25% interest compounded quarterly. How long will it take to double his money?
Doubling time in years =
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \stackrel{doubled}{\$9000}\\ P=\textit{original amount deposited}\dotfill &\$4500\\ r=rate\to 7.25\%\to \frac{7.25}{100}\dotfill &0.0725\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years \end{cases}[/tex]
[tex]9000=4500\left(1+\frac{0.0725}{4}\right)^{4\cdot t} \implies \cfrac{9000}{4500}=\left(1+\frac{0.0725}{4}\right)^{4\cdot t} \\\\\\ 2=1.018125^{4t}\implies \log(2)=\log(1.018125^{4t})\implies \log(2)=t\log(1.018125^{4}) \\\\\\ \cfrac{\log(2)}{\log(1.018125^{4})}=t\implies 9.65\approx t\qquad \textit{about 9 years and 8 months}[/tex]
Write equation of hyperbola from key features
Check the picture below, so the hyperbola looks more or less like so.
the center of the hyperbola is half-way between the foci, so namely at (-2 , -1) as you see there, since we know the covertices, half that distance is the "b" component, so all we're really missing is the "a" component, but we know what "c", since it's just the distance from a foci to the center, so
[tex]\textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} h=-2\\ k=-1\\ b=15 \end{cases}\implies \cfrac{( ~~ x- (-2) ~~ )^2}{ a^2}-\cfrac{( ~~ y- (-1) ~~ )^2}{ 15^2}=1[/tex]
[tex]\stackrel{\textit{we know that}}{c=17}\qquad 17=\sqrt{a^2+15^2}\implies 17^2=a^2+15^2\implies 17^2-15^2=a^2 \\\\\\ \sqrt{17^2-15^2}=a\implies \sqrt{64}=a\implies 8=a \\\\[-0.35em] ~\dotfill\\\\ \cfrac{( ~~ x- (-2) ~~ )^2}{ 8^2}-\cfrac{( ~~ y- (-1) ~~ )^2}{ 15^2}=1\implies {\Large \begin{array}{llll} \cfrac{(x+2)^2}{64}-\cfrac{(y+1)^2}{225}=1 \end{array}}[/tex]
Maricopa's Success scholarship fund receives a gift of $ 160000. The money is invested in stocks, bonds, and CDs. CDs pay 4 % interest, bonds pay 3.6 % interest, and stocks pay 8 % interest. Maricopa Success invests $ 15000 more in bonds than in CDs. If the annual income from the investments is $ 7520 , how much was invested in each account?
Maricopa Success invested $ ______ in stocks.
Maricopa Success invested $ ______ in bonds.
Maricopa Success invested $ ______ in CDs.
The amount that was invested in each account is:
Maricopa Success invested $47,858 in stocks.
Maricopa Success invested $63,571 in bonds.
Maricopa Success invested $47,571 in CDs.
How to find the amount invested?Let c represent Cds
Let b represent bonds
Let s represent stocks
Equations:
b = c + 15000
s = 160000 - b - c = 160000 - c - 15000 - c = -2c + 145,000
0.08(-2c + 145000) + 0.036(c + 15000) + 0.04c = 7520
-0.16c + 11600 + 0.036c + 540 + 0.04c = 7520
-0.084c = -4,080
Divide both side by -0.084
c = -4,080 / 0.084
c= $48,571 (CDs)
b = 48,571+ 15000
b=$63,571 (bonds)
s = 160,000 - $63,571- 48,571
s= $47,858 (stock)
Therefore Maricopa Success invested $47,858 in stocks,Maricopa Success invested $63,571 in bonds and Maricopa Success invested $47,571 in CDs.
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Write an equation for the parabola that:
Has a y-intercept of (0,8), an a value of 6 , and passes through the point (-1,8)
The equation of the required parabola is y = [tex]6x^2+6x+ 8[/tex]
What is a parabola?
Parabola is a curve where all the point on the curve maintains a fixed distance from a point called the focus and a line called the directrix.
Let the equation of the parabola be y = [tex]ax^2+bx+c[/tex]
Here, a = 6
So equation of parabola is y = [tex]6x^2+bx+c[/tex]
The parabola passes through (0, 8) and (-1, 8)
Putting x = 0 and y = 8 in the equation
c = 8
y = [tex]6x^2+bx+8[/tex]
Putting x = -1 and y = 8
[tex]8 = 6(-1)^2 + b(-1) + 8\\ b = 6[/tex]
So equation of the parabola is y = [tex]6x^2+6x+ 8[/tex]
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Justyne is valued by her organization as a high-utility employee who can answer the phones, greet customers, handle billing questions, operate the manufacturing equipment, and be a quality checker. Because she is competent in so many areas, Justyne is frequently moved around the company to wherever she is needed that day. It is likely that Justyne has high emotional stability. generalized self-efficacy. self-esteem.
Justyne is frequently moved around the company to wherever she is needed as it is likely that she has high generalised self-efficacy.
Justyne is valued by her organization as a high-utility employee who can answer the phones, greet customers, handle billing questions, operate the manufacturing equipment, and be a quality checker. This proves her capacity that she can act in the ways necessary to reach specific goals that she is meant to achieve.
As she is competent in so many areas, she is frequently moved around the company wherever needed.
Hence, it is likely that Justyne has high generalized self-efficacy.
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If A = {3, 5, 7, 8, 9, 10} and B= {1,4,7,9,11,12}
Find
a) ANB=
b) AUB=
Answer:
pls mark as brainliest
Step-by-step explanation:
If A = {3, 5, 7, 8, 9, 10} and B= {1,4,7,9,11,12}
a) ANB= { 7 , 9 }
b.)AUB= { 1 , 3 , 4 , 5 , 7 , 8 , 9 , 10 , 11 , 12 }
Last year, the revenue for medical equipment companies had a mean of 80 million dollars with a standard deviation of 18 million. Find the percentage of companies with revenue between 73 million and 87 million dollars. Assume that the distribution is normal. Round your answer to the nearest hundredth.
The percentage of companies with revenue between 73 million and 87 million dollars is; 0.30
How to find the probability from a z-score?The formula for z-score is;
z = (x' - μ)/σ
where;
x' is sample mean
μ is population mean
σ is standard deviation
We are given;
Population mean; μ = 80 million
Population standard deviation; σ = 18 million
The percentage of companies with revenue between 73 million and 87 million dollars is expressed as;
P(73 < X < 87)
z₁ = (73 - 80)/18
z₁ = -0.389
z₂ = (87 - 80)/18
z₂ = 0.389
Using probability between two z-scores, we have;
P(-0.389 < Z < 0.389) ≈ 0.30
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Drag the equation or type of function to the corresponding graph. Drag the items on the left to the correct location on the right.
Options F and A=[tex]y=\frac{1}{2}^{x}[/tex] match the fourth graph (exponential decay.)
Options G and B=[tex]y=\log_{10}x[/tex] match the second graph (logarithmic growth).
Options E and C=[tex]y=e^{x}[/tex] match the first graph (exponential growth).
Options H and D=[tex]y=\log_{0.5}x[/tex] matches the third graph (logarithmic decay).
What are growth curves?
An illustration of changes in similar circumstances is referred to as a growth curve. It exemplifies how things vary through time, including population, consumer preferences, demand or supply, etc.
What are decay curves?
The decay curve, basically, is a way to depict the rate or specifically exponential rate at which disintegration occurs in a radioactive sample
If we equate the curves and the graphs, we see that both options A and F merge up to the exponential decay model.
Similarly, both options B and G merge up to the logarithmic growth graph model.
Options C and E merge up to the exponential growth model.
Options D and H merge up to the logarithmic decay model.
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Please help! Need an answer quickly!
The quadratic equation 3 / x - [x / x + 6] = 18 / (x² + 6) have roots at 0 and 3
Quadratic EquationsQuadratics can be defined as a polynomial equation of a second degree, which implies that it comprises a minimum of one term that is squared. It is also called quadratic equations. The general form of the quadratic equation is given as ax² + bx + c = 0
In the given equation, we are to solve for the value of x
3 / x - [x / x + 6] = 18 / (x² + 6)
On the left hand side of the equation, we can find the LCM and simplify
3(x + 6) - x² = 18
3x + 18 - x² = 18
x = 3 or x = 0
The solutions to the equation are 0 and 3
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I need help I don’t know what to do can someone help me?
Answer:
Below
Step-by-step explanation:
These are both equations of lines.....one has slope =6 and the other has slope = 4 so they will cross at ONE point