A Type I error occurs in hypothesis testing when one is rejects the null hypothesis and the null hypothesis is true.
To reject the null hypothesis, statisticians conduct hypothesis testing. However, the process is always accompanied by the possibility of making a mistake. These are referred to as hypothesis testing errors.
Type I and Type II errors are the two mutually exclusive errors in hypothesis testing. Type II errors occur when a statistician fails to reject a false null hypothesis, whereas Type I errors occur when a statistician correctly rejects a genuine null hypothesis. So, c is the right response.
To learn more about hypothesis testing visit:
https://brainly.com/question/17099835
#SPJ4
The average income of those who work more and those who work less tends to be equal
What is the null hypothesis?The null hypothesis is a typical statical theory which suggest that no statical relationship and significance exists in a set of given single observed variable , between two sets of observed data and measured phenomena.
The null hypothesis is significant because it offers a rough description of the phenomena inferred from the available evidence. It enables researchers to empirically test the relationship statement in a study.
Example: The null hypothesis is that the population density is the same across all states.
The average income of those who work more and those who work less tends to be equal
To know more about null hypothesis, visit:
https://brainly.com/question/28920252
#SPJ4
is 3.674 equal to 6.764
No 3.674 is not equal to 6.764
What is equality?
We say that two values, numbers , expression are equal if they have = sign in between them, Two value or number are said to be same if every digit from both the number is same and in same order. in other words if the difference between them is zero
We are given two numbers 3.674 and 6.764
We take the difference of them
We get
6.764- 3.674= 3.09
Which is not equal to zero
Hence the two numbers are not equal.
TO learn more about equality please refer
https://brainly.com/question/401435
#SPJ13
What is the difference 377. 109-58. 2767
27 x 34 pls show me how you solved this
Answer:
+2
27
x 34
+1 238
68
=918
four red balls and three green balls are placed in a bag. if you take two of the balls out of the bag without replacement, what is the probability that both balls are red? (enter your probability as a fraction.)
The probability of both balls being red is 2/7
Given that there are four red balls and three green balls in a bag and two of the balls are out of the bag without replacement.
We must find the probability that both balls are red.
Let us consider,
Probability of drawing a red ball = 4 red balls / 7 total balls
1st draw is (4/7)
None are replaced, (put back in the bag) so now there are 3 red balls in a bag of 6 total balls.
2nd draw is 3/6 = (1/2)
Multiply the probabilities together to find the chance of drawing red 2 times in a row.
= (4/7) * (1/2)
= 2/7
Hence, the probability that both balls are red is 2/7
Learn more about without replacement here
https://brainly.com/question/26063748
#SPJ4
HELP PLS ASAPPPPP solve for x and y i know x is 70
The value of the angle y in the quadrilateral is 90° .
There are four sides, four vertices, and four angles in a closed quadrilateral.
It has a polygonal shape. It is produced by joining four non-collinear points. The total internal angle of a quadrilateral is always 360 degrees.The English word quadrilateral is derived from the Latin words Quadra, which means four, and latus, which means sides. Each of a quadrilateral's four sides does not always have to be the same length. As a result, there are various types of quadrilaterals that can be created based on the sides and angles. Let's examine some more amazing quadrilateral facts in this article.We know that from the properties of parallel line x = 70° as the angles are alternate angles.
Again the interior angle adjacent to the 70° angle is equal to
180° - 70° = 110°
Given another interior angle is 90°.
We know sum of all the four angles of a quadrilateral is 360°.
Therefore
70 + 90 + 110 + y = 360°
Hence we will find the value of y.
y = 360° - 270°
or, y = 90°
Therefore the value of y is 90° .
To learn more about quadrilateral visit:
https://brainly.com/question/13805601
#SPJ1
Write in standard form
0.000909
Answer:
909/1000000
Step-by-step explanation:
Since 0.000909 is 6 places values past the decimal. That is blank out of /1000000. Hence since 909 is the only number other than 0 you put 909/1000000
THE PATTERN OF 165,000
The scientific notation of the whole number 165000 is (1.65 * 10⁵).
As per the question statement, we are provided with a number which is 165000.
We are require to determine the scientific notation of the above mentioned number.
To solve this question, first we need to understand what does it mean by the scientific notation of a number.The scientific notation is a form of presenting very large numbers or very small numbers in simpler, easily understandable form by expressing the number as a product of decimal number between 1 and 10, and powers of 10.Here, 165000 can be written as (165 * 1000)
Or, 165000 = (1.65 * 100 * 1000)
Or, 165000 = (1.65 * 100000)
Or, 165000 = (1.65 * 10⁵)
That is, the scientific notation of 165000 is (1.65 * 10⁵).
Whole number: In Mathematics, every element of the set of positive integers including Zero upto infinity is a whole number.To learn more about scientific notation of whole numbers, click on the link below.
https://brainly.com/question/18073768
#SPJ1
An engineer designed a scale model of a 1940 Ford pickup truck using a scale in which 2 inches represents 3 feet. The length of the 1940 Ford pickup truck is 15.75 feet
According to the concept of scales, the scale length of the scale model of the 1940 Ford pickup truck is 10.5 inches.
How to determine the length of a scale model?
Scale models are useful resource to describe huge and tiny system at a reasonable scale, whose dimensions are derived from the concept of scale, which relates scale lengths to real lengths in the following manner:
d' = r · d
Where:
d - Real length, in feet.d' - Scale length, in inches.r - Scale, in inches per feet.If we know that d = 15.75 ft and r = 2 / 3 in / ft, then the scale length of the 1940 Ford pickup truck is:
d' = (2 / 3 in / ft) · (15.75 ft)
d' = 10.5 in
By using the concept of scale, the length of the scale model is 10.5 inches.
To learn more on scale models: https://brainly.com/question/19512201
#SPJ1
Neha has a piece of ribbon of length 23 cm, correct to the nearest cm.
From this ribbon she cuts off a piece with length 87 mm, correct to the nearest mm.
Work out the lower bound and the upper bound for the length of the remaining ribbon.
Give your answer in centimetres.
Lower bound =
Upper bound =
The lower bound for the length of the remaining ribbon is 13.8 cm, and the upper bound is 15.8 cm.
Here,
To work out the lower and upper bounds for the length of the remaining ribbon, we need to consider the possible scenarios that would result in the smallest and largest remaining lengths.
Given:
Original length of ribbon = 23 cm (correct to the nearest cm)
Length of the piece cut off = 87 mm (correct to the nearest mm)
First, let's convert the length of the piece cut off to centimeters:
1 cm = 10 mm
So, 87 mm = 87 / 10 cm = 8.7 cm (correct to the nearest mm)
Now, let's calculate the upper bound for the remaining ribbon length:
Upper bound = Original length - Length cut off + Tolerance
Upper bound = 23 cm - 8.7 cm + 0.5 cm (maximum possible rounding error for 87 mm)
Upper bound = 23 cm - 8.7 cm + 0.5 cm = 15.8 cm
Next, let's calculate the lower bound for the remaining ribbon length:
Lower bound = Original length - Length cut off - Tolerance
Lower bound = 23 cm - 8.7 cm - 0.5 cm (maximum possible rounding error for 87 mm)
Lower bound = 23 cm - 8.7 cm - 0.5 cm = 13.8 cm
So, the lower bound for the length of the remaining ribbon is 13.8 cm, and the upper bound is 15.8 cm.
learn more on length :
https://brainly.com/question/32832640
#SPJ4
What is the measure of angle x?
Answer:
D. 135 degrees
Step-by-step explanation:
Angle x = 180 - 45
= 135 degrees, (adjacent angles are supplementary).
a kinesiologist claims that the resting heart rate of men aged 18 to 25 who exercise regularly is less than that of men who do not exercise regularly. men in each category were selected at random, and their resting heart rates were measured, with the following results:
Considering a 0.05 significance level, there is enough evidence to conclude that the resting heart rate of men aged 18 to 25 who exercise regularly is less than that of men who do not exercise regularly.
What are the hypothesis tested?At the null hypothesis, it is tested if there is not enough evidence to conclude that the resting rate is less, hence:
[tex]H_0: \mu_1 \geq mu_2[/tex]
Then:
[tex]H_0: \mu_1 - \mu_2 \geq 0[/tex]
At the alternative hypothesis, it is tested if there is enough evidence to conclude that the rate is less, hence:
[tex]H_1: \mu_1 - \mu_2 < 0[/tex]
Mean and standard errorFor each sample, the mean and the standard error are given as follows:
[tex]\mu_1 = 63, s_1 = \frac{1}{\sqrt{40}} = 0.1581[/tex][tex]\mu_2 = 71, s_1 = \frac{1.2}{\sqrt{30}} = 0.2191[/tex]Hence the mean and the standard error for the distribution of differences are given as follows:
[tex]\overline{x} = \mu_1 - \mu_2 = 63 - 71 = -8[/tex][tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.1581^2 + 0.2191^2} = 0.27[/tex]Test statisticThe test statistic is given according to the following equation:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.
Hence the value of the test statistic is given by:
t = -8/0.27
t = -29.63
P-value and conclusionConsidering a left-tailed test, as we are testing if the parameter is less than a value, and using a t-distribution calculator, with t = -29.63 and 30 + 40 - 2 = 68 df, the p-value of the test is of 0.
Since this p-value is less than the significance level, there is enough evidence to conclude that the resting heart rate of men aged 18 to 25 who exercise regularly is less than that of men who do not exercise regularly.
What is the missing information?The problem is given by the image at the end of the answer, and we have to test the claim using a significance level of 0.05.
More can be learned about the t-distribution at https://brainly.com/question/16313918
#SPJ1
To prepare for his mountain biking trip, Rhyan bought four tire patches. Rhyan paid using a gift card that had $22.20 on it. After the sale, Rhyan’s gift card had $1.90 remaining. Which equations could you use to find the price of one tire patch? Select all that apply. 4x – 1.9 = 22.2 4x – 22.2 = 1.9 4x + 1.9 = 22.2 4x + 22.2 = –1.9 22.2 – 4x = 1.9
Answer:
your mom
1234567891011
For x = 0
x+5 3
3x 2x
+
can be written in the form
Work out the values of a, b and c.
ax + b
CX
X +
X
where a, b and care integers,
all less than 20.
6) An architectural drawing of a building shows the elevation of the basement floor as -12 feet. The elevation of the roof is 32 feet. Someone is standing at an elevation of 15 feet. Is the person closer to the basement or the roof? Explain.
We need to simply find the difference in height to solve this problem. The person standing at an elevation of 15 feet is closer to the basement.
The elevation of the basement is said to be 12 feet and the elevation of the roof is 32 feet. The person is standing at an elevation of 15 feet. Inorder to find whether the person is closer to the basement of the roof we need to find the difference in height of the person from the basement and from the roof. The difference in height between the person and the basement is 15-12=3 feet and the difference between the height of the person and the roof is 32-15=17 feet. Since 3 is less than 17 the person is closer to the basement.
Therefore the person standing at an elevation of 15 feet is closer to the basement.
Learn more about height and distances here:
https://brainly.com/question/25845286
#SPJ1
Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.
(-5,-5) x= -4x+1
y = -5x -25 is the equation in slope-intercept form of the line that passes through the given point (-5,-5) and is parallel to the given equation y = -4x+1.
The standard form of an equation of a line in slope-intercept form is
y = mx + c
where m represents the slope of the line and c represents the y intercept.
The equation of the parallel line is
y = -4x + 1
Here the slope of the line is -4 and the intercept is +1.
Two line that are parallel to each other have same slope.
So, the slope of the line passing through the point(-5, -5) and is parallel to the line y = -4x + 1 is -4.
putting the point given in the standard form
y = m(x) + c
-5 = -4(-5) + c
-5 = 20 + c
c = -25
The equation of line is y = -5x -25
Therefore, y = -5x -25 is the equation in slope-intercept form of the line that passes through the given point (-5,-5) and is parallel to the given equation y = -4x+1.
To learn more about equation of a line refer here
https://brainly.com/question/18831322
#SPJ1
An iPhone costs £825 in London, €950 in Paris and $1,200 in New York.
Using £1 = €1.12 and £1 = $1.43, state the lowest price of the iPhone in £.
Give your answer to 2 dp.
The price of iphone in £ will costs £825 in London, £848.21 in Paris and £839.16 in New York .The lowest value of iphone in London which costs £825.
We had given the following information that An iphone costs £825 in London, €950 in Paris and $1,200 in New York.
We have to find the lowest price of iphone among the given iphone prices
We had to find the lowest price in £ .
Therefore we have to convert all the given prices into £.
For the conversion of prices we had given that £1 = €1.12 and £1 = $1.43.
Now In Paris iphone costs €950. Converting €950 into £ will be as follows
£1 = € 1.12.
∴ £x = € 950.
∴ x = £848.21.
Now In New York iphone costs $1,200. Converting $1,200 into £ will be as follows
£1 = $1.43.
∴ £x = $1,200
∴ x = £839.16.
Now the price of iphone in £ will costs £825 in London, £848.21 in Paris and £839.16 in New York.
Therefore by comparison we get the lowest value of iphone in London which costs £825.
To know more about currency conversion visit link below
https://brainly.com/question/2202418
#SPJ13
Algebra Questions I need help with!
The quadratic equations are given as follows:
37. y = 1.6(x² - 2x - 3).
38. y = x² - x.
39. y = 0.4074(x² - 12x + 11).
Item 37The roots of the quadratic equation are at x = -1 and x = 3, hence it can be written as follows:
y = a(x + 1)(x - 3)
In which a is the leading coefficient.
Hence:
y = a(x² - 2x - 3)
When x = 1, y = -8, hence the leading coefficient a can be found as follows:
-8 = a(1 - 2 - 3)
5a = 8
a = 8/5
a = 1.6
Hence the equation is:
y = 1.6(x² - 2x - 3).
Item 38The roots of the quadratic equation are at x = 0 and x = 1, hence it can be written as follows:
y = ax(x - 1)
Hence:
y = a(x² - x)
When x = 2, y = -2, hence the leading coefficient a can be found as follows:
2 = a(2² - 2)
2a = 2
a = 1.
Hence the equation is:
y = x² - x.
Item 39The roots of the quadratic equation are at x = 1 and x = 11, hence it can be written as follows:
y = a(x - 1)(x - 11)
Hence:
y = a(x² - 12x + 11)
When x = 2, y = -11/3, hence the leading coefficient a can be found as follows:
-11/3 = a(4 - 24 + 11)
9a = 11/3
a = 11/27
a = 0.4074.
Hence the equation is:
y = 0.4074(x² - 12x + 11).
More can be learned about quadratic equations at https://brainly.com/question/24737967
#SPJ1
Gas mileage is the number of miles you can drive on a gallon of gasoline. a teat of a new car results in 357.7 miles on 14.6 gallons of gas. What is the rate of miles per gallon? Write an equation for this proportional relationship. How far could you drive on 65 gallons of gas?
The rate of miles per gallon is 24.5 miles/gallon and an equation for the proportional relationship is 1 : 24.5 and we can drive 1592.5 miles on 65 gallons of gas.
What is proportional?In proportionality, Algebra demands that two ratios be equal. A/B = C/D denotes the ratio of a and b to c and d. When using a proportion to solve a word problem, one of the four quantities is usually unknown.
It can be resolved by multiplying one numerator by the opposing denominator, adding the resulting number, and then solving for the other numerator and denominator.
Proportionality refers to any relationship that consistently has the same ratio. For instance, the number of trees in an orchard and the quantity of apples in a crop are determined by the average number of apples per tree.
It is given that,
A test of a new car shows it can drive 357.7 miles on 14.6gallons of gas.
We need to find how far you could drive on 65 gallons of gas.
14.6 gallons of gas = 357.7 miles
miles per gallon = 357.7 miles/14.6 gallons
= 24.5 miles/gallon
For 65 gallons of gas
65 gallons = 24.5 × 65 miles
= 1592.5 miles
Learn more about Proportionality
https://brainly.com/question/870035
#SPJ9
A freshman class has 575 students. A random sample of 50 students found that 12 students prefer football to basketball. Estimate the number of freshman who prefer football to basketball.
Approximately
___________ freshmen prefer football.
The number of freshman who prefer football to basketball is 138 students
How to calculate the value?It should be noted that the random sample of 50 students found that 12 students prefer football to basketball.
The students that prefer football will be:
= Fraction × Total number of students
= 12/50 × 575
= 6900/50
= 138
There will be 138 students.
Learn more about proportion on:
brainly.com/question/1999481
#SPJ1
What is 10 time 5000?
Input the values into the formula below
to find the 205th term in the sequence
-48, -44, -40, -36, -32,...
1st term + common difference (desired term - 1)
□+[ ] [ ] - 1)
A. -4
B. +4
C. 205
D. -48
The 205th term of the sequence is 768 with a common difference of 4.
What is the common difference?In an arithmetic series, a common difference is one between any term and its predecessor, and it is typically denoted by the letter "d."To find the common difference in an arithmetic sequence, subtract the first term from the second term, the second term from the third term, and so on.The difference that exists between every pair of phrases that follow one another in a series is a common difference.For example, the number 3 is a frequent difference in the series 4, 7, 10, 13, and so on. A series of differences constitute an arithmetic progression.The common difference is so named because it is both the difference between each number in the sequence and the same, or common, to all of them.So, the sequence is:
-48, -44, -40, -36, -32,... +4
The common difference is: -48 + 4 = - 44 ⇒ 4
Formula: aₙ = a + (n - 1)d
Now calculate as follows:
aₙ = a + (n - 1)d
aₙ = -48 + (205 - 1)4
aₙ = -48 + (204)4
aₙ = -48 + 816
aₙ = 768
Therefore, the 205th term of the sequence is 768 with a common difference of 4.
To learn more about common differences, refer to:
brainly.com/question/16451964
#SPJ1
evalate 9x(10-2]divided(+(5x2
The value of the expression, [9(10 - 2)] ÷ [2 + (5 × 2)], found using PEMDAS order of operations is 6
What is an expression in mathematics?A mathematical expression is a mathematical statement which consists of two or more numbers or variables that are linked by mathematical operators.
The possible expression in the question is presented as follows;
[9(10 - 2)] ÷ [2 + (5 × 2)]
The above expression can be evaluated using the order of operations convention, which is a set of rules used in mathematics and computer programming, that indicates the procedure which comes first when evaluating a mathematical expression.
The rules can be memorized using mnemonics like PEMDAS that represents;
P; Parentheses E; ExponentsM; Multiplication D; Division A; Addition S; SubtractionPEMDAS indicates that operations within a parentheses is to be performed first, before exponents, which comes before multiplication, followed by division then addition before subtraction.
The convention aims to remove ambiguity, such that the expression 1 + 2 × 3 = 1 + (2 × 3)
To evaluate the given expression, we therefore have;
[9(10 - 2)] ÷ [2 + (5 × 2)]
Performing operations within the parentheses gives;
[9(10 - 2)] ÷ [2 + (5 × 2)] = [9(8)] ÷ [2 + (10)]
[9(8)] ÷ [2 + (10)] = [9×8] ÷ [2 + 10]
[9×8] ÷ [2 + 10] = 72 ÷ 12
There are no exponents, (E), or further multiplication, (M), outside the parentheses, therefore performing the, division, (D) gives;
[tex]\displaystyle{ 72 \div 12 = \frac{72}{12} =6}[/tex]
The value of the expression is therefore;
[9(10 - 2)] ÷ [2 + (5 × 2)] = 6
Learn more about the order of operations in mathematics here:
https://brainly.com/question/12071005
#SPJ1
What is the slope of the equation ASAP Please ASAP
We are given the following equation: y = 5/4x - 7/4 and we are asked to identify the slope.
To answer the question, we must recall the slope-intercept form of a linear equation:
y = mx + b where m is the slope and b is the y-intercept.
Using this format, we know that m = 5/4 and b = - 7/4.
Therefore, the slope of the equation is 5/4.
Janae's savings account has $50 on September 19. If she plans to save $5 every day, how much money will Janae have in her savings account in 10 days? Explain or show work. Which of the two relationships does this scenario model? How do you know?
Janae will have $ 95 in her account after 10 days.
What is an Arithmetic Progression?A sequence of numbers that has a fixed common difference between any two consecutive numbers is called an arithmetic progression (A.P.)
Given,
Amount in Janae's account = $ 50
Amount she wishes to save for 10 days = $ 5
This scenario models an arithmetic progression(A.P)
In an A.P,
a _n = a + (n-1)d
where a _n = nth term, a is the first term, n is the no. of terms and d is the common difference.
In this question, a = 50, n = 10, d = 5 and we have to find out a _n
Therefore, a _n = 50 + (10-1)x5
= 50 + 45 = 95
Answer:- Janae will have $ 95 in her account after 10 days.
To learn more about arithmetic progression, refer to:
https://brainly.com/question/24191546
#SPJ10
Which expression is equal to (x + 2) (−3x² + 3x + 1)?
-3x³ + 9x² - 5x + 2
-3x² + 5x + 3
-3x²- 3x + 2
-3x^3 - 3x^2 + 7x + 2
Answer:
The right answer choice is the last one
-3x^3 - 3x^2 + 7x + 2
Answer:
The last one is correct
Step-by-step explanation:
multiply -3[tex]x^{2}[/tex] + 3x + 1 by x and the by 2 and then add them together.
x(-3[tex]x^{2}[/tex] + 3x + 1)
-3[tex]x^{3}[/tex] + 3[tex]x^{2}[/tex] + x
2(-3[tex]x^{2}[/tex] + 3x + 1)
-6[tex]x^{2}[/tex] +6x +2
Add the two bold expressions above to find the answer.
-3[tex]x^{3}[/tex] + 3[tex]x^{2}[/tex] + x -6[tex]x^{2}[/tex] + 6x + 2
-3[tex]x^{3}[/tex] -3[tex]x^{2}[/tex] +7x +2
PLEASE PLEASE HELP!!!!! Solve for X
Answer:
B. x<4Step-by-step explanation:
To solve for x, isolate it on one side of the equation.
Use a distributive property.
a(b+c)=ab+ac
a(b-c)=ab-ac
2(x-14)
2*x=2x
2*14=28
=2x-28
-5x>2x-28
Subtract by 2x from both sides.
-5x-2x>2x-28-2x
Solve.
-7x>-28
Multiply by -1 from both sides.
[tex]\sf{\left(-7x\right)\left(-1\right) < \left(-28\right)\left(-1\right)}[/tex]
Solve.
-7x*-1=7x
-28*-1=28
7x<28
Divide by 7 from both sides.
7x/7<28/7
Solve.
Divide these numbers from left to right.
28/7=4
[tex]\Rightarrow \boxed{\sf{x < 4}}[/tex]
Therefore, the final answer is b. x<4.
I hope this helps, let me know if you have any questions.
[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{-5x > 2(x-14) } \end{gathered}$}}[/tex]
Use distributive property to multiply 2 by x−14.
[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{-5x > 2x-28 } \end{gathered}$}}[/tex]
Subtract 2x on both sides.
[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{-5x-2x > -28 } \end{gathered}$}}[/tex]
Combine −5x and −2x to get −7x.
[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{-7x > -28 } \end{gathered}$}}[/tex]
Divide both sides by −7. Since −7 is <0, the direction of inequality is changed.
[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{x < \dfrac{-28}{-7} } \end{gathered}$}}[/tex]
Divide −28 between −7 to get 4.
[tex]\boxed{\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{x < 4 } \end{gathered}$}}}[/tex]
The answer is x <4, the correct option is B.What are the points of intersection between the graphs of the circle and parabola? x^2+y^2=37 x^2=y−5 Select all correct coordinates.
The coordinates points of intersection of the circle and the parabola are (1,6) and (-1,6).
The equation of the given circle is x²+y²=37
The equation of the given parabola is x²=y-5
To find the point of intersection of the parabola and the circle,
Putting the value of x²=y-5 in the equation of circle,
So, we get,
y-5+y²=37
y²+y-42=0
This is a quadratic equation, so using quadratic formula,
y = [-b±√(b²-4ac)]/2a
Here,
a = 1
b = 1
c = -42
y = [-1±√(1²-4(1)(-42))]/2(1)
y = [-1±√(1+168)]/2
y = [-1±13]/2
y = -14/2 and 12/2
y = -7 and 6.
Putting the values of y in x²=y-5,
We get,
x² = 6-5
x = ±1
And,
x²=-7-5
x²=-12
Not possible,
So, when y is 6, the value of x is ±1.
So the coordinate of point of intersection are (1,6) and (-1,6).
To know more about point of intersection, visit,
https://brainly.com/question/11337174
#SPJ1
Which of the following scenarios demonstrates an exponential decoy
(C) "A dollar's value is impacted by ongoing inflation" best demonstrates an exponential decay.
What is exponential decay?When something's growth declines as a function of an exponential, this is known as exponential decay. If a quantity declines at a rate proportional to its current value, exponential decay may be present. The following differential equation, where N is the quantity and λ is a positive rate known as the exponential decay constant, can be used to represent this process symbolically:dN/dt = -λNSo, only one of the options in this case—the dollar value being affected by constant inflation—seems to exhibit exponential decay.
As a result, the value of a dollar that is subject to constant inflation exhibits exponential decay.Therefore, (C) "A dollar's value is impacted by ongoing inflation" best demonstrates an exponential decay.
Know more about exponential decay here:
https://brainly.com/question/24077767
#SPJ13
The correct question is given below:
Which of the following scenarios demonstrates an exponential decay?
A. Value of a dollar invested in a savings account
B. Value of a dollar affected by constant deflation
C. Value of a dollar affected by constant inflation
D. None of the above
(tan 0) (x) = 1 where x is atrigonometric function.Which of the following functionssubstituted for x solves the above equation?
ANSWER :
d. cot θ
EXPLANATION :
Note that the reciprocal of tangent is cotangent.
[tex]\frac{1}{\tan\theta}=\cot\theta[/tex]If reciprocals are multiplied with each other, the result is 1.
From the problem, we have :
[tex](\tan\theta)(x)=1_[/tex]Since the result of the product is 1, the tangent function must be multiplied by its reciprocal.
That will be cotangent.
Or we can just simply divide the equation by tan θ.
[tex]\frac{\cancel{\tan\theta}(x)}{\cancel{\tan\theta}}=\frac{1}{\tan\theta}=\cot\theta[/tex]|5+5-8| how to I solve this and the answer it
