Answer:
I guess that we want to find the function g(x) for the 4 cases.
first, f(x) = -9*x + 1.
a) The graph of g is a reflection in the y-axis of the graph of f.
First remember: if we have the point (x,y) and we reflect it over the y-axis, we get (-x,y)
then g(x) = f(-x) = -9*-x + 1 = 9*x + 1.
b) The graph of g is a reflection in the x-axis of the graph of f.
if we have a point (x, y) and we reflect it over the x-axis, the point transforms into (x, -y)
then we have: g(x) = -f(x) = 9*x - 1
c) The graph of g is a horizontal translation 16 units right of the graph of f.
When we want to have a translation in the x-axis, we must change x by x - A.
If A is positive, this transformation moves the graph by A units to the right, in this case, A = 16.
g(x) = f(x - 16) = -9*(x - 16) + 1
d) The graph of g is a vertical translation 16 units down of the graph of f.
For vertical translations, if we want to move the graph by A units down (A positive) we should do y = f(x) - A
In this case, A = 16.
then: g(x) = f(x) - 16 = -9*x + 1 - 16 = -9*x - 15.
According to a survey of business executives, 78% received a pay raise when they asked for one. A random sample of four executives was selected. The probability that all four received a raised when they asked for one is ________. 0.056 0.127 0.237 0.370
Answer:
The probability that all four received a raised when they asked for one is 0.370.
Step-by-step explanation:
Let the random variable X represent the number of business executives who received a pay raise when they asked for one.
The probability that a business executives received a pay raise when they asked for one is, p = 0.78.
A random sample of n = 4 executives was selected.
The events of any executive receiving a pay raise when they asked for one is independent of the others.
The random variable X follows a Binomial distribution with parameters n = 4 and p = 0.78.
The probability mass function of X is:
[tex]P(X=x)={4\choose x}\ (0.78)^{x}\ (1-0.78)^{4-x};\ x=0,1,2,3...[/tex]
Compute the probability that all four received a raised when they asked for one as follows:
[tex]P(X=4)={4\choose 4}\ (0.78)^{4}\ (1-0.78)^{4-4}[/tex]
[tex]=1\times 0.37015056\times 1\\\\=0.37015056\\\\\apporx 0.370[/tex]
Thus, the probability that all four received a raised when they asked for one is 0.370.
Shari wrote the numbers from 1 to 16 on a card.
Next, she crossed out all the numbers which are factors of 80.
Then, she crossed out all the numbers which are multiples of 3.
How many numbers were not crossed out?
What is the value of x?
Answer:
x = 22
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the interior angles
6x+1 = 79+ 2x+10
Combine like terms
6x+1 = 2x+89
Subtract 2x from each side
4x+1 = 89
Subtract 1 from each side
4x = 88
Divide by 4
4x/4 = 88/4
x = 22
Answer:
The answer is
Step-by-step explanation:
We can cross out A. So it has to be either B, C, or D.
Lines DE and AB intersect at point C.
What is the value of x?
SER
12
A.
(2x + 2) E
25
0 0 0 0
38
C
(5x + 3)
52
D
31
Answer:
B=25
Step-by-step explanation:
A 50 ft kite string is flying on the beach above an umbrella. You are holding the end
of the string and are 12 feet from the umbrella. How high in the air is the kite flying?
Round to the nearest degree.
Answer:
The height of the kite is 48.54 feet
The angle of elevation is 76.11°
Step-by-step explanation:
To find the height of the kite, we can use the Pythagoras' theorem in the triangle created by the length of the string (hypotenuse), the height of the kite and the distance to the umbrella (catheti).
Then, we have:
50^2 = 12^2 + height^2
height^2 = 2500 - 144
height^2 = 2356
height = 48.54 ft
So the kite is 48.54 feet high in the air.
The angle of elevation can be calculated using the cosine relation:
cos(angle) = 12 / 50
cos(angle) = 0.24
angle = 76.11°
What is the domain of the function f (x) = StartFraction x + 1 Over x squared minus 6 x + 8 EndFraction?
Answer: (-∞, 2)∪(2, 3]∪(4, ∞)
Step-by-step explanation:
Domain is the allowed x values in the function. The numerator, x + 1 will be defined for all numbers. But that fraction wont be, the minute that fractions denominator is equal to zero, your entire function becomes undefined.
So lets figure out what number will make this undefined. Then we'll know the functions domain is everywhere but that x value.
Make x^2 - 6x + 8 = 0
What two numbers multiply to equal +8 but add to equal -6? Thats -4 and -2.
(x - 4)(x - 2) = 0 This means the function is undefined when x equals 4 and 2
(-∞, 2)∪(2, 3]∪(4, ∞)
Answer:
D Edg
Step-by-step explanation:
all real numbers except 2 and 4
An online shopping website collected data regarding its operations and obtained the following linear regression model for the estimated revenue in millions, Y-hat, based on the click-through rate in thousands, x. Y-hat = 1.2+0.2x
What is the best interpretation of the value of the estimated slope of 0.2?
Answer:
There is an estimated increase in revenue of $0.2 million for each 1,000 additional clicks
Step-by-step explanation:
The slope (0.2) is the rate of change in Y-hat for each unit change in x.
In this specific case, since Y-hat is the revenue, in millions, and x is the number of clicks, in thousands, the best interpretation is that there is an estimated increase in revenue of $0.2 million for each 1,000 additional clicks
You need a 55% alcohol solution. On hand, you have a 525 mL of a 45% alcohol mixture. You also have 90% alcohol mixture. How much of the 90% mixture will you need to add to obtain the desired solution? You will need _____mL of the 90% solution to obtain _____mL of the desired 55% solution.
Answer:
Let's call the amount of 90% solution x.
We can write:
45% * 525 + 90%x = 55%(x + 525)
0.45 * 525 + 0.9x = 0.55(x + 525)
Solving for x we get x = 150 so the first blank is 150 and the second blank is 525 + 150 = 675.
Which of these levelers will make it easier to lift the object
Answer:
C
Step-by-step explanation:
Because it would have less weight to carry
F(x)=2x-6 and g(x)=3x+9,find (f+g)(x)
Answer: 5x-3
Step-by-step explanation:
(f+g)(x) means f(x)+g(x). Knowing this, we add the 2 functions together.
2x-6+3x+9
5x-3
If the general term of a sequence is 4, then the sequence is
A)4,4,4,4,
B)4,16,64.216
C)4, 8, 12, 16,
Answer:
Correct answer is A) 4,4,4,4
What’s the correct answer for this?
Answer:
B and C
Step-by-step explanation:
The correct option are
B) a cross section of rectangular pyramid perpendicular to the base
C) a cross section of a rectangular prism that is parallel to it's base
Eric had 8 gallons of milk. He used 2 gallons of milk for cooking and gave remaining to 7
students.
If there are 21 students, how many gallons of milk is needed?
Answer:18
Step-by-step explanation:
first : 8-2 =6 gallons
he gave 6 to 7 students
then he needs : 18 gallons for 21 students
The radius of the large sphere is double the radius of the
small sphere.
How many times is the volume of the large sphere than the
small sphere?
02
O4
6
O 6
O 8
Answer:
8
Step-by-step explanation:
just do the comparation
Vb : Vs
b for big and s for small
4/3 π rb³ : 4/3 π rs³ (since there are 4/3 and π on both side, we can eliminate them so)
Vb : Vs = rb³ : rs³
Vb : Vs = (2rs)³ : rs³
Vb : Vs = 8rs³ : rs³ (delete the r³ on both side)
Vb : Vs = 8 : 1
so Vb is 8 times larger in volume than the small one
Any help would be great
Answer:
[tex]\frac{56}{96}[/tex] is your answer
Step-by-step explanation:
[tex]\frac{7}{12}[/tex]=[tex]\frac{x}{96}[/tex]
to get to 96 you must multiply by 8
and since you did that for the bottom then you need to do the same for the top,
[tex]\frac{56}{96}[/tex] is your answer
1+1 i will make you brainliest lol
Answer:
2
Step-by-step explanation:
1 + 1 = 2
Answer:
1 + 1
= 2
1+1
= THIS THING
Which is the same as asking:
To what power must 5 be raised to get 3,125?
Answer: 5^5
Step-by-step explanation:
Since 5x5x5x5x5 = 3,125
PLEEEASE HELLLLP!!!!!!! If x+7=2y and y=2x−1, what is the value of y?
Answer:
13
Step-by-step explanation:
We can add 1 to both sides of the second equation and divide by 2 to get
x = (y-1)/2
We can then substitute x in the first equation to get
(y-1)/2 + 7 = 2y
Multiply by 2
y-1 + 14 = 2y
Subtract y and combine like terms
y = 13
Which expression and diagram represent “Renee biked four times as far this month as last month”? 4 x right-arrow 4 boxes with x and 4 boxes with minus signs 4 x right-arrow 4 boxes with x 4 + x right-arrow 4 boxes with x and 3 boxes with plus signs x + 4 right-arrow 4 boxes with plus signs
Answer:
yall the answer is B for 2020 edge
Step-by-step explanation:
I took the test
Answer:
I do agree its B.
Step-by-step explanation:
Why i think this is because my average grade was a 100%
I need help please!!!
Answer:
A.
Step-by-step explanation:
So you would have f(3) = 3 + [tex]\frac{2}{2}[/tex]
f(3) = 3 + 1
f(3) = 4
Answer:
Step-by-step explanation: f(x)
3+ a square root of 3+1 / x-1
3+ a square root (4/2)
3+ square root of 2. That's the answer
When Janelle woke up, it was –3 degrees Fahrenheit outside. As the morning progressed, the temperature rose 2 degrees every hour. Which line on the graph could represent this scenario? a(x) f(x) g(x) h(x)
Answer: g(x)
Step-by-step explanation:
The graph represented by the degrees Fahrenheit outside is y = 2x - 3 where g ( x ) = 2x - 3
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Slope m = 2
Given that it was -3 degrees Fahrenheit outdoors when Janelle woke up. The temperature increased by 2 degrees every hour as the morning went on. It implies,
Temperature at start: -3
Changes occur at a rate of 2 degrees each hour.
A line's slope intercept form is y = 2x - 3
Hence , the equation of line is y = 2x - 3 and the graph depicted is g ( x )
To learn more about equation of line click :
https://brainly.com/question/14200719
#SPJ7
The complete question is attached below :
When Janelle woke up, it was –3 degrees Fahrenheit outside. As the morning progressed, the temperature rose 2 degrees every hour. Which line on the graph could represent this scenario?
a(x)
f(x)
g(x)
h(x)
Describe the difference between a probability derived from the analytic view (logical analysis), the Relative Frequency view (sampling from a distribution with known characteristics), and the Subjective (feeling) view. Describe situations in which each view of probability could be useful.
Answer:
See the explanation
Step-by-step explanation:
Analytic View:If and event can occur in A number of way and fail in B number of ways, then probability of its occurrence is:
[tex]P(A)= \frac{A}{A+B}[/tex]
or probability of its failing is:
[tex]P(B)=\frac{B}{A+B}[/tex]
Example:Rolling a number smaller than 3 in a dice.
A= 2 (1,2)
B = 4 (3,4,5,6)
[tex]P(A)= \frac{2}{2+4}=\frac{1}{3}[/tex]
Relative Frequency View:Definition of Probability in terms of past performances (data). It can be taken as how often things happens divided by all outcomes.
Example:A batter has 50 safe hits at 200 bats, which makes his batting average [tex]\frac{50}{200}= 0.25[/tex] which is the probability.
Subjective View:When you define a probability due to personel beleif in the likelihood of an outcome. It involve no formal calculations and varies from person to person, depending on their past experience.
Example:A person beleives that probability that the batter will hit safely in the next bat is 0.75
I WILL GIVE BRAINLIEST PLEASE ANSWER ASAP!!!
If the measure of angle 2 is (5 x + 14) degrees and angle 3 is (7 x minus 14) degrees, what is the measure of angle 1 in degrees?
2 lines intersect to form 4 angles. From top left, clockwise, the angles are 1, 2, 3, 4.
88 degrees
89 degrees
90 degrees
91 degrees
Answer:
<1 = 91
Step-by-step explanation:
<2 + <3 = 180
5 x + 14 + (7 x -14) = 180
Combine like terms
12x = 180
Divide by 12
12x/12 = 180/12
x =15
We want <1
<1 = <3 since they are vertical angle
<1 = 7x-14 = 7*15 -14 =105-14=91
Answer:
D, 91 degrees
Step-by-step explanation:
First, solve for x. Angles 2 and 3 add up to 180, so set up an equation:
(5x + 14) + (7x - 14) = 180
12x = 180
x = 15
Then, you know angles 1 and 2 also add up to 180, so solve for Angle 2
5(15) + 14= 89
180-89= 91, so angle 1 is 91 degrees.
Find the area of a circle with radius, r = 17cm.
Give your answer rounded to 3 SF. (SF means Significant figures)
Answer:
0.0908 [tex]m^{2}[/tex] (to 3 S.F.)
Step-by-step explanation:
Area = π[tex]r^{2}[/tex]
π * [tex]17^{2}[/tex] = 907.92
= 908 [tex]cm^{2}[/tex]
=0.0908 [tex]m^{2}[/tex]
Please answer this correctly
Answer:
Step-by-step explanation:
George Fox university = 10,000,000 + 10,000,000
= full bag + full bag
( click 2 full bag}
Rockhurst university = 10,000,000 +10,000,000 +10,000,000 + 5,000,000
= full bag + full bag + full bag + half bag
(click 3 full bag and 1 half bag}
Lebanon Valley college = 10,000,000 +10,000,000 +10,000,000 +10,000,000+5,000,000
( click 4 full bag and 1 half bag)
Grand view college = 10,000,000
(click 1 full bag}
Susan designed a circular pool with diameter of 25 meters. What is the area of the bottom of the pool?
Answer: Area = 490.87 meters
Step-by-step explanation:
A=πr2
r = 12.5 (1/2 of diameter)
A = 490.87 meters
Step-by-step explanation:
We know that the formula to find the area of a circle is πr^2 or in other words, pi times the radius squared. We have been given the diamter of 25 inches. We know that the diamater is double the radius. 25 divided by 2 will get us 12.5. If we write this in equation form (or substitute the variables) will be written as: (3.14)12.5^2, 3.14 being pi. Now, we would multiply the radius by radius (because it's squared) or in other words, (12.5*12.5) to equal 156.25. If we write this in equation form, we would get: 3.14(156.25). Now we finally multiply pi (3.14) times 156.25 to equal 490.625 or rounded to the tenth 490.6
Determine whether the given value is a statistic or a parameter.A homeowner measured the voltage supplied to his home on 42 random days, and the average (mean) value is 127.1 volts.A) The given value is a statistic for the year because the data collected represented a population.
B) The given value is a parameter for the year because the data collected represent a sample.
C) The given value is a parameter for the year because the data collected represent a population.
D) The given value is a statistic for the year because the data collected represent a sample.
Answer:
[tex] \bar X = \frac{\sum_{i=1}^{42} X_i}{n}[/tex]
And for this case the sample mean is
[tex]\bar X = 127.1[/tex]
And this value is calculated from a sample so then can't represent a population parameter. Then the value 127.1 represent a statistic called the sample mean unbiased for the true population mean since [tex] E(\bar X) =\mu[/tex], and the best option would be:
D) The given value is a statistic for the year because the data collected represent a sample.
Step-by-step explanation:
For this case we know that a homeowner take a random sample of 42 voltage values ina year and he calculate the sample mean with this formula:
[tex] \bar X = \frac{\sum_{i=1}^{42} X_i}{n}[/tex]
And for this case the sample mean is
[tex]\bar X = 127.1[/tex]
And this value is calculated from a sample so then can't represent a population parameter. Then the value 127.1 represent a statistic called the sample mean unbiased for the true population mean since [tex] E(\bar X) =\mu[/tex], and the best option would be:
D) The given value is a statistic for the year because the data collected represent a sample.
What’s the correct answer for this question?
Answer:
A.
Step-by-step explanation:
Since they are similar, hence taking proportionality,
CA/CB = d1/d2
Cross Multiplying
We get
CA × d2 = CB × d1
OR
d1×CB = d2 × CA
A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 260.5-cm and a standard deviation of 1.6-cm. For shipment, 8 steel rods are bundled together.Find the probability that the average length of a randomly selected bundle of steel rods is greater than 260.2-cm.P(M > 260.2-cm) = Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
Answer:
P(M > 260.2-cm) = 0.702
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question, we have that:
[tex]\mu = 260.5, \sigma = 1.6, n = 8, s = \frac{1.6}{\sqrt{8}} = 0.5657[/tex]
P(M > 260.2-cm)
This is 1 subtracted by the pvalue of Z when X = 260.2. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{260.2 - 260.5}{0.5657}[/tex]
[tex]Z = -0.53[/tex]
[tex]Z = -0.53[/tex] has a pvalue of 0.298.
1 - 0.298 = 0.702
So
P(M > 260.2-cm) = 0.702
normally distributed with an unknown population mean and a population standard deviation of 4.5 points. A random sample of 45 scores is taken and gives a sample mean of 84. Find a 90% confidence interval
Answer:
= ( 82.90, 85.10) points
Therefore at 90% confidence interval (a,b)= ( 82.90, 85.10) points
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = 84
Standard deviation r = 4.5
Number of samples n = 45
Confidence interval = 90%
z(at 90% confidence) = 1.645
Substituting the values we have;
84+/-1.645(4.5/√45)
84+/-1.645(0.670820393249)
84+/-1.10
= ( 82.90, 85.10) points
Therefore at 90% confidence interval (a,b)= ( 82.90, 85.10) points