Weekly change: 40
Initial investment: 450
Given that,
Tony is transferring funds to his checking account. Let y signify the overall balance of the account's funds (in dollars). Let x be the quantity Bill has been adding money for in weeks. Assume that 40x+450=y represents the equation between x and y.
Given that x is the number of weeks Bill added money, this indicates that he was depositing $40 into the account every week.
Because x denotes the number of weeks he was contributing money and x is by 40, not 450, the initial amount was 450.
Therefore, Weekly change: 40 and Initial investment: 450
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If a first order is half completed in 2mins, what is the rate constant
The rate constant of the scenario is 4 minutes
How to determine the rate constant?From the question, we have the following parameters that can be used in our computation:
Half completed in 2 minutes
This means that the full completion is 4 minutes
These parameters can be represented as
(x, y) = (1, 4)
The rate constant of the statement can then be represented as the slope and the slope is then calculated as
Slope = (y₂ - y₁)/(x₂ - x₁)
Where
(x, y) = (0, 0) and (1, 4)
Substitute the known values in the above equation
So, we have the following equation
rate constant = (4 - 0)/(1 - 0)
Evaluate the quotient
rate constant = 4
Hence, the rate constant is 4 minutes
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list the two types of sampling procedures group of answer choices causation and exact sampling precise and imprecise sampling probability and nonprobability sampling statistical and linear sampling large and small size sampling
The correct answer is Probability and non probability sampling procedure.
There are two distinct exits from sampling procedures.
There are two types of sampling: probability sampling and non-probability sampling.
In probability sampling each population has equal and independent chance to comes in the study . There are various types of probability samplings technique exists . These are simple random sampling , stratified random sampling, cluster sampling , systematic random sampling etc.
In non probability sampling the samples are selected on the basis of personal biasness, judgments and preferences. Judgemental sampling , quota sampling, dimensional sampling etc comes under this type of sampling procedure.
So here the correct answer is
Option -E- Probability and non probability sampling procedure.
Except it all other options are wrong.
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Jill’ fih weigh 8 time a much a her parakeet. Together they weigh 63 ounce. How much doe the fih weigh
Answer:
”fih” weighs 56 ounces
Step-by-step explanation:
8p=f
f+p=63
f- fih
p- parakeet
p+8p=63
9p=63
/9. /9
p=7
Parakeet weighs 7 ounces now to find the weight of the fih
8(7)=f
56=f
Fih weighs 56 ounces
Hopes this helps please mark brainliest
the value added and subtracted from a point estimate in order to develop an confidence interval of the population parameter is known as the
The margin error is the amount that is added to and subtracted from a point estimate in order to create a confidence range for the population parameter.
The margin error, or error rate, in statistics refers to how inaccurate survey results utilizing random samples are. A larger statistical margin of error indicates a decreased likelihood of relying on a survey's or poll's results, indicating a decreased level of trust in the results' capacity to fairly represent a community. It is an essential tool for market research since it demonstrates the level of trust that should be placed by the researchers in survey results.
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Silicone implant augmentation rhinoplasty is used to correct congenital nosedeformities. The success of the procedure depends on various biomechanicalproperties of the human nasal periosteum and fascia. The article "Biomechnics inAugmentation Rhinoplasty" reported that for a sample of 10 (newly deceased)adults, the mean failure strain (%) was 26.0, and the standard deviation was 3.5.(p. 277 #35)a. Assuming a normal distribution for failure strain, estimate true average strain ina way that converys information about precision and reliability.b. Predict the strain for a single adult in a way that conveys information aboutprecision and reliability. How does the prediction compare to the estimatecalculated in part (a)?
In Asian nations, augmentation rhinoplasty is one of the most often performed cosmetic operations, with silicone implants being the most frequently utilized component.
Despite potential benefits, the use of alloplastic materials in rhinoplasty is frequently avoided in Western nations due to worries about the possibility of infection and implant extrusion. The silicone augmentation rhinoplasty has become a widespread operation in Asia due to the region's cumulative experience with long-term positive results.
Surgical technique, implant design, and surgeon expertise all have a substantial impact on the likelihood of complications with silicone implants. If precautions are taken, silicone implants can be used safely for nasal dorsal augmentation.
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in this scenario, what is the test statistic? a sociologist would like to test the claim that the average age of a u.s. adult getting married is different than 27 years old. sample size
There is not sufficient evidence to claim that the average age of a US adult getting married is different than 27 years old.
μ₀ = 27
h = 30
X = 26
σ = 7
Hypothesis test at α = 0.025
Null & Alternative hypothesis
H₀: μ = 27
Ha: μ = 27
Test statistics = Z
Z= x-μ/(σ/√h)
= 26-27/(7/√30)
Z = -0.78
p-value
p-value from Z-table at |Z|= 0-78,
two-tailed is p-value = 0.4354
decision-
here p-value = 0-4354 > α=0·025 Since we fail to reject H₀ at 2.5%
Hence, there is not sufficient evidence to claim that the average age of a US adult getting married is different than 27 years old.
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Let n be the largest integer for which 14n has exactly 100 digits. Counting from right to left, find the 68th digit of n
Counting from right to left, find the 68th digit of n is 10.
An integer, is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. 1.43, 1 3/4, 3.14, and other numbers that are not integers are some examples.
The largest integer with exactly 100 digits is the integer that consists of 100 copies of the digit 9.
This integer is equal to 10100 = 10
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What are the parts of graph of a rational function?.
The parts of graph of a rational function is the asymptotes and the intercepts of the graph.
The graph of a rational function is a hyperbola
The asymptote is a line or curve that acts as the limit of another line or curve. For example, a descending curve that approaches but does not reach the horizontal axis is said to be asymptotic to that axis, which is the asymptote of the curve whereas the intercept of the graph is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis
Therefore, The asymptotes and the intercepts of the graph are the parts of graph in case of a rational function.
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Two building are 18. 5 meter apart. The angle of elevation from the top of one building to the top of the other i 18 degree. If the taller building i 15 meter tall, how tall i the horter building?
Using the angle of elevation we calculate the height of the smaller building to be approximately 8.99 meters.
Let the height of the smaller building be x.
Distance between the two buildings = 18.5 meters.
Angle of elevation = 18°
From the properties of trigonometric ratios we know that:
tan 18° = (15 - x) / 18.5 as tan is the ratio of perpendicular and base of a triangle.
solving we get :
15 - x = 6.011 m
or, x = 8.99 m
The shorter building is approximately 8.99 meters tall.
The angle of elevation is described as "the angle formed between the horizontal line and the line of sight when an observer looks upwards" in mathematics. It is always higher and at a greater angle than the observer.
An angle of depression is produced when someone looks down, which is the opposite of an angle of elevation.
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Which formula should be used to correctly calculate the monthly mortgage payment? m = p startfraction left-bracket r (1 minus r) superscript n baseline right-bracket over (1 r) superscript n baseline endfraction m = p startfraction left-bracket r (1 r) superscript n baseline right-bracket over left-bracket (1 r) superscript n baseline minus 1 right-bracket endfraction m = p startfraction r over left-bracket (1 r) superscript n baseline minus 1 right-bracket endfraction m = p startfraction left-bracket r (1 r) superscript n baseline right-bracket over (n r) endfraction
The correct formula to calculate monthly mortgage payment on a loan is [tex]M= P\frac{ [R(1+R)^n]}{[(1+R)^n-1]}[/tex]
Where, M is the total monthly payment
P is the total amount of loan
R is the interest rate
N is the total time
The primary advantage of a mortgage loan is that, unlike most other loans, you can get one without giving up ownership of your house to anybody else and at extremely low interest rates. The monthly mortgage repayment is symbolized by the mortgage payment. The standard four components of a mortgage payment are principal, interest, taxes, and insurance. The principal, term, and interest rate of the mortgage loan, as well as other factors, influence the monthly mortgage payment. The monthly mortgage payment can be calculated using the aforementioned formula or a financial calculator online.
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the probability pete will catch fish when he goes fishing is 0.9. pete is going fishing 4 days next week. the expected number of days pete will catch fish is . a. 0.4 b. 0.9 c. 3.6 d. 4
The expected number of days pete will catch fish is 0.36. So the option 3 is correct.
In the given question, the probability pete will catch fish when he goes fishing is 0.9.
Pete is going fishing 4 days next week.
We have to find the expected number of days pete will catch fish.
From the question,
Pete is going fishing 4 days next week. So n=4
The probability pete will catch fish when he goes fishing is 0.9. So P(F)=0.9
The formula for variance is:
Variance = n*p*(1-p)
Variance = 4*0.9*(1-0.9)
Variance = 4*0.9*0.1
Variance = 0.36
So the expected number of days pete will catch fish is 0.36. So the option 3 is correct.
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A fancy bed and breakfast inn has 5 rooms, each with a distinctive color-coded decor. One day 5 friends arrive to spend the night. There are no other guests that night. The friends can room in any combination they wish, but with no more than 2 friends per room. In how many ways can the innkeeper assign the guests to the rooms?
A. 2100
B. 2220
C. 3000
D. 3120
E. 3125
In 2220 ways the innkeeper can assign the guests to the rooms i.e. Option B is correct.
As per the question,
Number of rooms = 5Number of friends = 5The rooms are distinctive colour-coded decor i.e. the rooms have to be distinct.There are Five friends and Five rooms,
⇒ 0 rooms of 2, 5 rooms of 1
⇒ 1 room of 2, 3 rooms of 1
⇒ 2 rooms of 2, 1 room of 1
Guests can be allotted rooms by the innkeeper as
1, 1, 1, 1, 1, 1, 2, 2, or 1, 1, 1, 2
To assign ( 1, 2, 2 ) = ways to assign guests to the rooms × ways to assign frequencies to rooms= 5 × ( 4 2 ) × ( 5 2 ) ( 3 2 )
To assign ( 1, 2, 2 ) = ways to assign guests to the rooms × ways toassign frequencies to rooms
= 5 × 4 × 3! ( 5 2 )
To assign ( 1, 1, 1, 1, 1 ) = 5!Total number of ways ( N ) = To assign ( 1, 2, 2 ) + To assign ( 1, 2, 2 ) +
To assign ( 1, 1, 1, 1, 1 )
= 5 × ( 4 2 ) × ( 5 2 ) ( 3 2 ) + 5 × 4 × 3! ( 5 2 ) +
5!
= 5 × ( 4 2 ) × ( 5 2 ) ( 3 2 ) + 120 ( 5 2 ) + 120
N = 2220 ways
Therefore, The innkeeper can assign guests to the rooms in 2220 ways with no more than two friends per room i.e. option B is valid.
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Is the average of a sum the sum of the averages?.
The average of a sum and the sum of the averages are not same.
The average of a sum is mean of sum of data. Total sum divided by total number of sum.
Whereas , The sum of the average is sum of mean of data. Total sum of averages of data.
These two terms are not same.
For example : Assume x₁ , x₂ , x₃ , . . . , xₙ be a data
S₁ , S₂ , . . . , Sₙ be sum of data
A₁ , A₂ , . . . , Aₙ be average of data
where n is total number of sum of data
The Average of sum will be = S₁ + S₂ + . . . + Sₙ / n
The sum of average will be = A₁ + A₂ + . . . + Aₙ
Hence, The average of sum and Sum of average are different.
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There is a line through the origin that divides the region bounded by the parabola and the x-axis into two regions with equal area. What is the slope of that line?.
The slope of that line is 1.031.
Given data,
There is a line through the origin that divides the region bounded by the parabola y = 5x - 3x² and the x-axis into two regions with equal area,
y = 5x - 3x²
5x - 3x² = 0
x(5 - 3x) = 0
x = 0 , x = 5/3
→ Area under y = 5x - 3x² is A = [0 to 5/3] 5x - 3x² dx
A = [0 to 5/3] 5x²/2 - 3x³/3
A = [0 to 5/3] 5x²/2 - x³
A = 5(5/3)2/2 - (5/3)3 = 125/54
∴ The lines passing through the origin are in the form of y = mx,
mx = 5x - 3x²
3x² + mx - 5x = 0
3x² + x(m -5) = 0
x(3x + (m -5)) = 0
x = 0 , x = (5 -m)/3
→ Area under y = 5x - 3x² and y = mx is (125/54)/2 = 125/108
∴ (5 -m)3/18 - (5 -m)3/27 = 125/108
(5 -m)3/54 = 125/108
(5 -m)3 = 125/2
(5 -m) = 3.9685
m = 5 - 3.9685
m = 1.0315
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find an equation of the line tangent to the curve at the point corresponding to the given value of t. x=t^2-23, y=t^3 + t; t=5
The equation of the line tangent to the curve at the point corresponding to the given value of t.
x = t²-23 and y = t³ + t, at t = 5 is
38x - 5y + 574 = 0
Given, a curve with the points represented by
x = t²-23 and y = t³ + t, at t = 5
we have to find an equation of the line tangent to the curve at the given point on the curve.
so, the given point is (x , y) = (5² - 23 , 5³ + 5)
(x , y) = (2 , 130)
Now, the slope of the curve at that point be,
dy/dx = (3t² + 1)/(2t)
dy/dx = 76/10
Now, on using the slope-intercept form, we get
(y - 130)/(x - 2) = 38/5
5(y - 130) = 38(x - 2)
5y - 650 = 38x - 76
38x - 5y + 574 = 0
Hence, the equation of the line tangent to the curve at the point corresponding to the given value of t.
x = t²-23 and y = t³ + t, at t = 5 is
38x - 5y + 574 = 0
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Problem 1 (A Few Random Steps) Consider four molecules, all starting at the origin, which undergo a 1d random walk, each with a 50% chance of going left or right along the x-axis at each time step. A. After 1 time step, what is the probability that 2 particles have gone left and 2 have gone right? Give your answer as a decimal number between 0 and 1 to 3 decimal places. B. After 2 time steps, what is the probability that all of the particles are at the origin? Give your answer as a decimal number between 0 and 1 to 3 decimal places. C. After 2 time steps, what is the probability that none of the particles are at the origin? Give your answer as a decimal number between 0 and 1 to 3 decimal places. D. After two time steps, what is the probability that one or more particles are not at the origin? Give your answer as a decimal number between 0 and 1 to 3 decimal places.
The probability that 2 particles have gone left and 2 have gone right is 0.375, considering four molecules, all starting at the origin, which undergo a 1d random walk, each with a 50% chance of going left or right along the x-axis at each time step.
Define probability.Probability measures how likely something is to happen. It is calculated mathematically as a fraction, ratio, or percentage. The formula of the favourable outcome over the total outcomes is used to describe probability. The likelihood of flipping a coin heads is one example. Given that there is only one head and two total sides, 50% of the time, a head will land up-side-down.
Given,
4 particles given,
P(left) = 0.5 = P(right)
Possible combinations in total,
2 × 2 × 2 ×2
16
Combinations that are accepted,
RRLL, LLRR, LRLR, RLRL, RLLR, LRRL
Probability of 2 left and 2 right:
= 6/16
= 3/8
= 0.375
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At a real estate agency, an agent sold a house for $307,000. The commission rate is 5.5% for the real estate agency and the commission rate for the agent is 25% of the amount the real estate agency gets. How much did the agency make on the house? How much did the agent earn in commission?
The commission which real estate agency gets is $16885.
The commission which the agent get is $76750
How to calculate the commission?The selling price for a house = $ 307,000
The commission rate for real estate agency = 5.5 %
The commission rate for the agent = 25 %
So, the commission which real estate agency gets:
= 5.5 % of $307,000
= 0.055 × $ 307,000
= $16885
The commission which agent get:
= 25% of $ 382,000
= 0.25 × $ 307,000
= $76750
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water flows into an empty reservoir at a rate of gal/hour . what is the quantity of water in the reservoir after 9 hours?
The quantity of water in the reservoir after 9 hours be, 2835 gallons.
Given, water flows into an empty reservoir at a rate of 2800 + 15t gal/hour.
we have to find the quantity of water in the reservoir after 9 hours.
at the rate of 2800 + 15t
put t = 9
So, the quantity of water in the reservoir after 9 hours be,
2800 + 15(9)
2800 + 135
= 2835
So, the quantity of water in the reservoir after 9 hours be, 2835 gallons.
Hence, the quantity of water in the reservoir after 9 hours be, 2835 gallons.
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Review the process chart given below. Assume that an ankle injury patient is willing to pay for both operation and inspection steps. Which of these statements is true? a. Value-added time is less than 50% of cycle time. b. Value-added time is more than 50% of cycle time. c. Value-added time is exactly 50% of the time.
If an ankle injury patient is willing to pay for both operation and inspection steps, Value-added time is less than 50% of cycle time
The ankle injury is under 1.5 times as much pressure with each stride .
In an avergae we travel 1000 miles on foot annully.
Over 14.2 million visits to doctors is due to ankle injuries every year.
However only 15% of the total injuries results in fractures.
Therefore, if an ankle injury patient is willing to pay for both operation and inspection steps, the statements which is true is Value-added time is less than 50% of cycle time
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What is the lateral area of the prism? 73.5 feet 73.5 square feet 84 feet 84 square feet
Answer:The lateral surface area of the triangular prism will be 84 square feet.correct option is D.
What is the surface area of the triangular prism?Let the sides of the triangle be a, b, c, and a height of H. Then the surface area of the prism is given as SA = H(a + b + c)A triangular prism has bases with three congruent sides, each measuring 4 feet. The height of each triangle is approximately 3.5 feet.The distance between the triangular bases is 7 feet.Then the lateral surface area will beSA = 7 (4 + 4 + 4)SA = 7 x 12SA = 84 square feet. the correct option is D
Step-by-step explanation:
Identify the parent function for the function g(x) = (x − 2)^3 from its function rule. Then graph g and identify what transformation of the parent function it represents.
NEED ASAP
The transformation from the parent function f(x) = x³ is a translation to the right by 2 units
How to describe the transformation from the parent function?From the question, we have the following function that can be used in our computation:
g(x) = (x − 2)³
To determine the parent function, we leave only the variable in the expression
So, we have
f(x) = x³
Next, we determine the transformation
We have the transformation to be from f(x) = x³ to g(x) = (x − 2)³
This means the function is translated right by 2 units
Hence, the transformation is 2 unit right
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cost $210. tax rate 12%. What is the total cost
Answer: $235.2
Step-by-step explanation:
We just multiply 210 by 12%
which gives us 25.2
Then we just add 25.2 + 210 = 235.2
A car that travel at 20 mile in 1/2 hour at contant peed i traveling at the ame peed a a car that travel 30 mile in 3/4 at a contant peed. Explain why
It is true that the speed of both cars is the same.
What is an example of continuous speed?
When something is going at a fixed, steady pace or at an average speed, it is said to be moving at constant speed or uniform rate. As an illustration, a car travels 3 hours. In the first hour, it travels 30 miles, in the second hour, 45 miles, and in the third hour, 75 miles.
Detailed explanation:
Car A is moving at a pace of 40 miles per hour since it covers 20 miles in less than 30 minutes.
In order to determine whether or not Car B is moving at the same speed as Car A, let's build up a proportion for the 30 miles it travels in 3/4 of an hour.
30 miles in one hour equals x miles in one hour. multiply by cross
Divide both sides by (3/4) to get 30.
40 = x
As a result, the speeds of Car A and Car B are equal.
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Andres is a high school basketball player. In a particular game, he made some two point shots and some free throws (worth one point each). Andres made a total of 12 shots altogether and scored a total of 16 points. Determine the number of two point shots andres made and the number of free throws he made.
The total number of free throws shots Andres made was 8 and the total number of two point shots Andres made was 4.
First, let us understand the variables:
Any number, vector, matrix, function, its argument, set, or one of its elements can be specifically represented by a variable.
Let x and y be the quantity of shorts.
x is the number of attempts at the free throw line.
y is the quantity of two-point attempts.
According to the question, we have;
x + 2y = 16 ............equation 1
x + y = 12 ............equation 2
From equation 2 we can take out the value of x;
x = 12 - y ............equation 3
substituting the value of x in equation 1, we will get;
(12 - y) + 2y = 16
12 - y + 2y = 16
12 + y = 16
y = 16 - 12
y = 4
putting the value of y in equation 3, we will get
x = 12 - 4
x = 8
Thus, the total number of free throws shots Andres made was 8 and the total number of two point shots Andres made was 4.
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frog took three jumps. The first jump was 2/3 m long, the second was 5/6 m long and
the third was 1/3 m long. How far did the frog jump in all?
The frog jumped the total length of 11/6m.
How to add two fractions?If the fractions have the same denominators then their numerators are added keeping the denominators as the same.
For fractions with different denominators the LCM of the denominators are taken then that is divided by the numerators of each fraction and the number obtained is multiplied to each of them to get the equivalent fraction.
Given that,
The length of first jump of the frog is 2/3m.
The length of second jump of the frog is 5/6m.
And, length of third jump of the frog is 1/3m.
Thus, the sum of all the jumps is given as,
2/3 + 5/6 + 1/3
The LCM of denominators is 6. So, the sum becomes,
(2 × 2 + 5 × 1 + 1 × 2)/6
= 11/6.
Hence, total length of the frog's jump is 11/6m.
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researchers collected data regarding the blood pressure of 20 individuals. for each individual, they recorded the blood pressure (mm hg), age (years), weight (kg), body surface area (m2), duration of hypertension (years), pulse (beats/min) and a stress index. the data is listed below. the researchers are interested in whether a relationship exists between blood pressure and any (or all) of the factors recorded. the problem examines different levels of regression fits starting with multiple items and moving to fewer items. you may use minitab.
Yes, there is a relationship exists between blood pressure and all of the factors recorded.
On what factor blood pressure depends upon?Blood pressure is the force of blood acting against the artery walls. The proper circulation of blood from the heart to the body's organs and tissues depends on normal pressure. Blood is pushed into the remainder of the body with each heartbeat. Pressure is higher close to the heart and lower farther away.
The amount of blood the heart pumps and the size of the arteries through which it travels are two factors that affect blood pressure. The pressure is typically higher the more blood being pumped and the narrower the artery. Systole, when the heart contracts, and diastole, when the heart relaxes, are both used to assess blood pressure.
Start by entering the data into the data table in Minitab. Select Multiple Regression, and then click OK in the Regression Analysis window. Choose Weight and Age as the Dependent and Pulse and Stress as the Independent variables in the Multiple Regression box. Next, select the OK button located in the Output box. The multiple regression fit is represented by the three values: umbcr: The weight and age regression coefficient has an umbcr value of 85.4. This indicates that the blood pressure rises by 0.84 mm Hg for every unit increase in weight and by 1.14 mm Hg for every unit increase in age.
Agc: The regression coefficient for age and weight has an agc value of 1.75. Accordingly, the heart rate rises by 0.075 beats per minute for every unit increase in weight and by 0.135 beats per minute for every unit increase in age. Weight BSA: The weight and body surface area's regression coefficient, or weight BSA, is 2.10. In other words, the body surface area grows by 0.21 square metres for every unit increase in weight and by 0.41 square metres for every unit increase in age.
Hypertension persistence: The regression coefficient for hypertension persistence is 87.01 years, and this number represents the persistence of hypertension. This means that the blood pressure rises by 3.06 mm Hg for every additional year of hypertension. Pulse: The pulse value, or the regression coefficient for pulse, is 905 beats per minute. This indicates that the blood pressure rises by 2.49 mm Hg for every additional beat per minute in the heartbeat. Stress index: The regression coefficient for the stress index is 943, and this is the stress index value. This means that the blood pressure rises by 2.35 mm Hg for every 1 unit increase in the stress index.
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Reflect the given triangle over the line y=-x. 3 6 3 -3 3 3 [?] [ -3 [ ] [ 3
The points of the vertices of the triangle after reflection on the line y = -x is given by A'(3,-3) , B'(-3,-6) and B'(-3,-6) .
We know that when a point is reflected around a line on the coordinate axes then the coordinates reflect following some rules.
Now when the point (a,b) is reflected around the line y = -x then ,the coordinates of the image becomes (-b,-a)
Therefore :
A(3,-3)→A'(3,-3 , does not change as the point lies on the line y=-x)
B(6,3)→B'(-3,-6)
C(3,3)→B'(-3,-6)
In a transition known as reflection over a line k, each point of the original figure (pre-image) must have an image that is the same distance from the line of reflection as the first comment but is on the other side of the line. Remember that a flip is a reflection. The size of the figure does not alter when it is reflected.
A figure created by a line reflection that is consistent with the original figure is called an isometry (a transformation that preserves length). Because naming the figure in a reflection implies changing the order of the letters, a reflection is more accurately referred to as a non-direct or opposing isometry .
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Answer: 3 -3 -3
-3 -6 -3
Step-by-step explanation:
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The graph of function f(x) is the one in option D.
How to graph the function?To graph the function f(x), we just need to graph all the points on the table on a coordinate axis and then connect the points with a line.
Here we have the points:
(-2, 16/9)
(-1, 4/3)
(0, 1)
(1, 3/4)
(2, 9/16)
The graph of the five points can be seen in the image below.
Comparing it with the given options, we can see that the correct option is D.
(you can see that is not A because the first point is incorrect).
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What is the measure of the angle of an isosceles?.
The isosceles triangle has three acute angles, meaning that the angles are less than 90°. The sum of three angles of an isosceles triangle is always 180°.
What is the measure of the angle of an isosceles?
Properties of an Isosceles Triangle
The isosceles triangle has three acute angles, meaning that the angles are less than 90°. The sum of three angles of an isosceles triangle is always 180°.
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find the area of the shaded region under the standard normal distribution to the right of the given z-score. round your answer to three decimal places.
The area of shaded region is 0.171.
Given z-score is z = 0.95.
We have to calculate P(z > 0.95).
We can write this as
P(z > 0.95) = 1 - P(z < 0.95)
From the z-table we know that
P(z < 0.95) = 0.828
We will put this value in above equation, we get
P(z > 0.95) = 1 - 0.828
Therefore
P(z > 0.95) = 0.171.
Z-score tables are very useful in determining the probabilities of normally distributed random variables. The z-score standardizes the normally distributed variable to make any normal distribution fit into the standard normal distribution.
The z-score is calculated using the random variable, the mean, and standard deviation of a particular normal distribution of variables.
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