Answers
The instantaneous rate of change of g(x) = 2/(x + 6) at x = 3 is given as follows:
g'(3) = -0.025.
How to obtain the instantaneous rate of change?The function for this problem is defined as follows:
g(x) = 2/(x + 6).
The instantaneous rate of change at x = a is defined as follows:
g'(a).
In exponent format, the function is defined as follows:
g(x) = 2(x + 6)^(-1).
Applying the chain rule, the derivative of g(x) is given as follows:
g'(x) = -2(x + 6)^(-2)[x + 6]'
g'(x) = -2/(x + 6)².
At x = 3, the numeric value of the derivative is given replacing the lone instance of x by 3, hence:
g'(3) = -2/(3 + 6)²
g'(3) = -2/81
g'(3) = -0.025.
More can be learned about instantaneous rate of change at https://brainly.com/question/14666106
#SPJ1
Related Questions
Which of the following numbers is one-fifth of a given number if one-fourth of that same number is 20? Select the single best answer: A 10 B. 15 C. 20 D. 16 E. 25 usuan West >>
Answers
16 is the number which is one-fifth of a number when one-fourth of that same number is 20.
As per the given data:
One-fourth of the number is resulted to 20.
Here we have to determine the result of one-fifth of the same number from the given options.
An expression for a portion of a whole is a fraction.
For any real numbers, the fractional component of x is defined.
Let the number be X.
One-fourth of a number is 20 which means:
Multiply the one-fourth fraction with an unknown number which results in the number 20.
[tex]$\frac{1}{4}[/tex] (X) = 20
X = 20 × 4
X = 80
Now we have to determine that one-fifth of the same number.
Multiply the one-fifth fraction by 80.
We get:
= [tex]$\frac{1}{5}[/tex] (80)
= [tex]$\frac{1}{5}[/tex] × 5 × 16
= 16
One-fifth of the number 80 is 16
Therefore Option (D) - 16 is the correct answer.
For more questions on fractions
https://brainly.com/question/4597974
#SPJ4
Last socer season, Trish scored g goals , Alexa scored
4 more goals than Trish, write an expression that
shows how many goals Alexa scored.
Answers
Alexa scored g + 4 goals in the last soccer season.
What is expression in math?Expression in mathematics is a combination of symbols, such as numbers and operators, which produces a mathematical result. An expression can involve a single term or multiple terms and usually consists of a combination of constants, variables, operators, functions and parentheses. In an expression, operators are used to perform operations on terms, allowing one to solve equations and other problems. Examples of mathematical expressions include 3 + x = 5, sin(x) + 4, and (x + 2y)^2.
The expression that shows how many goals Alexa scored is: Alexa scored (g + 4) goals.
To know more about expression click-
brainly.com/question/1859113
#SPJ1
Let F be a function defined for all the nonnegative integers by thefollowing recursive definition.
F(0) = 0, F(1) =1
F(n+2) = 2F(n) + F(n+1),n Image for Let F be a function defined for all the nonnegative integers by thefollowing recursive definition. F(0) = 0, 0
Compute the first six values of F;that is, write the values of F(n) for n = 0, 1, 2, 3, 4, 5.
I started off just plugging in 0 andgot
F(0+2) = 2F(0) + F(0+1)
= 2 = 2(0) + 1
= 2 = 3
How do I do this?
Answers
For the recursive definition F(0) = 0, F(1) =1 , F(n+2) = 2F(n) + F(n+1) , n ≥ 0 ; the first six values are 0 , 1 , 1 , 3 , 5 and 11 .
The first six values of the function F can be computed step by step as follows:
the recursive definition is F(0) = 0, F(1) =1 , F(n+2) = 2F(n) + F(n+1) , n ≥ 0 ;
it is already known that : F(0) = 0 and F(1) = 1 ;
So , F(2) = 2×F(0) + F(1) = 2×0 + 1 = 1 ;
Similarly ; F(3) = 2×F(1) + F(2) = 2×1 + 1 = 3 ;
⇒ F(4) = 2×F(2) + F(3) = 2×1 + 3 = 5 ;
⇒ F(5) = 2×F(3) + F(4) = 2×3 + 5 = 11 .
Therefore , first six values of F are 0 , 1 , 1 , 3 , 5 and 11 .
The given question is incomplete , the complete question is
Let F be a function defined for all the nonnegative integers by the following recursive definition.
F(0) = 0, F(1) =1 , F(n+2) = 2F(n) + F(n+1) , n ≥ 0 .
Compute the first six values of F .
Learn more about Function here
https://brainly.com/question/29287254
#SPJ4
The two-way frequency table shows the number of blue and green parrots and parakeets in a rescue facility. Green Blue Total Parrot 17 16 35 Parakeet 20 28 48 Total 37 44 83 Find the probability that a randomly selected bird is a parakeet given that it is green.
Answers
The required probability that a randomly selected bird is a parakeet given that it is green is 54.1%.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
From the table,
Total green birds = 37
Total green parakeets = 20
Now,
The probability that a randomly selected bird is a parakeet given that it is green,
= 20 / 37 = 54.1%
Thus, the required probability that a randomly selected bird is a parakeet given that it is green is 54.1%.
Learn more about probability here:
brainly.com/question/14290572
#SPJ1
The function h is given by h(x) = 5x+13/ x-7 a) Write an expression for h−¹(x). b) For what value of x can h-¹(x) not be found? Give your answer as an integer or as a decimal.
Answers
Step-by-step explanation:
a) h−¹(x) = (x-13)/ (5x+7)
b) h-¹(x) cannot be found when x = 7.
Rewrite each of the following expressions in expanded form. All of your answers should be in the form ax^² + bx + c for numbers a, b, and c. a. (x + 1)(2x + 4) =b. (2x + 3)(4x + 8) =c. (x + 12)^2 =
Answers
The given expressions in the expanded form are 2x² + 6x + 4, 8x² + 28x + 24 and x² + 24x + 144.
a. (x + 1)(2x + 4) =
Expanding the product:
2x² + (2 × 1 + 4 × 1)x + 4 × 1 = 2x² + 6x + 4
b. (2x + 3)(4x + 8) =
Expanding the product:
8x² + (4 × 3 + 8 × 2)x + 8 × 3 = 8x² + 28x + 24
c. (x + 12)² =
Expanding the square:
x² + 2 × x × 12 + 12² = x² + 24x + 144
So, for each expression, the expanded form is given by ax² + bx + c.
To know more about expanded form, here
https://brainly.com/question/17837892
#SPJ4
Find the volume of each prism and match the volume to the correct prism. The units are understood to be square units, but are not included on the numeric answer.
Answers
Answer:
To find the volume of a prism, use the formula V = A * h, where A is the area of the base of the prism and h is its height. For example, for the first prism, the area of the base is 8 and the height is 4, so the volume is 8 * 4 = 32. For the second prism, the area of the base is 6 and the height is 9, so the volume is 6 * 9 = 54. The first prism has a volume of 32 and the second prism has a volume of 54.
Make Me As a Brainelist If You Like
if a cylinder with a 6 in. radius is spinning at 24 mph, find the angular velocity in rpm of a point on its rim ?
Answers
The angular velocity in rpm of a point on its rim is equals to the 4224 rad/min.
We have, a cylinder with Radius , R = 6 inch. Spining velocity, S = 24 miles per hour
We have to calculate the the angular velocity in rpm of a point on its rim. To calculate Angular and Linear Speed from Linear velocity :
Step 1: Identify which speed we are asked to calculate and Identify the radius and the velocity. We already identified all this in above.
Step 2: To calculate the angular speed when the linear speed and the radius of the circular object use : angular velocity = linear velocity/radius
First, we need to reconcile the unit of the radius of the wheel/rim and the unit of the speed of the car. Also, we are asked to give the answer in radians per minute. So, let's convert the speed to inches per minutes. So, the linear velocity of spining = 24 miles per hour × 5280 ft. per miles× 12 inches per ft. × 1 hour / 60 minutes
= 25,344 inches per minute
Now, the angular velocity is written as
angular velocity = linear velocity /radius
= 25,344 inches per minute / 6 inches
= 4224 /min. Hence, the angular velocity of the rim is 4224 rad/min.
To learn more about Angular velocity, refer:
https://brainly.com/question/20432894
#SPJ4
If a cylinder with a 6 in. radius is spinning at 24 mph, The angular velocity of a point on the rim of the cylinder is 672.27 rpm.
Angular velocity is a measure of the speed at which an object is rotating around a central axis. It is measured in units of radians per second (rad/s) or revolutions per minute (rpm). To find the angular velocity of a point on the rim of the cylinder, we need to first convert the linear velocity (24 mph) to linear velocity in feet per second (ft/s). We can use the formula:
v = r * ωwhere v is the linear velocity, r is the radius of the cylinder, and ω is the angular velocity.
Due to the 6 in. = 0.5 feet,
ω = v χ 1 r = 24 miles hr 1 0.5 ft χ 5280 ft mile = 253,440 (rad) hr
Then, 672.27 rpm at 253,440 (rad) hr 1 2pi rev rad 1 60 hr min
Learn more about Angular velocity here:
https://brainly.com/question/29342095
#SPJ4
Which of the following is equivalent to 5(a + 3) + 12?
5a + 15
5a + 27
5a + 36
15a + 12 please help me
Answers
5(a+3)+12
5a+15+12
5a+(15+12)
=5a+27
determine whether the angle vector v makes with vector u is acute, obtuse, straight, a right angle, or whether v is a vector in the same direction as u. uv
Answers
The angle that the vector "v = 9i + 8j - 4k" makes with the vector "u = 6i - 4j - k" is Acute Angle .
To determine the angle between two vectors, we need to find the dot product of the vectors and divide it by the product of their magnitudes.
If the result is positive, the angle between the vectors is acute, if it's negative the angle is obtuse, and if it's zero, the angle is a right angle.
In this case, the dot product of vectors "u" and "v" is:
⇒ (6i - 4j - k) . (9i + 8j - 4k) = 54 - 32 + 4 = 26 ;
The magnitude of vector "u" is = √(6² + (-4)² + (-1)²) = √(36 + 16 + 1) = √53
The magnitude of vector "v" is = √(9² + 8² + (-4)²) = √(81 + 64 + 16) = √161
So, the Cosine (Cos) of angle between two vectors "u" and "v" is:
⇒ Cos(θ) = 26/(√37 × √145) = 26/√5365 .
Since the value of Cos(θ) is positive, the angle between the vectors is acute. This means the vectors "u" and "v" are pointing in somewhat similar directions, but not exactly the same direction.
The given question is incomplete , the complete question is
Determine whether the angle vector "v" makes with vector "u" is acute, obtuse, straight, a right angle, or whether "v" is a vector in the same direction as "u" . u=6i-4j-k and v=9i+8j-4k .
Learn more about Vectors here
https://brainly.com/question/29999951
#SPJ4
Katie and Erica both went bowling last weekend, but not together. Katie went during open
bowling time, paying $15 for shoe rental and $4 per hour. Erica went on family night, when
each hour was $6 and shoe rental was $5. As it turned out, they played for the same number
of hours and spent the same amount. How much did each one spend?
Answers
Katie and Erica each bowled for 5 hours, and they both ended up paying P = $35.
What is the solution to an equation?
In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.
If both Katie and Erica play for t hours, then Katie pays a total of
$(15 + 4t), while Lisa pays a total of $(5+ 6t). If they both pay the same amount P, then
15 + 4t = P
5+ 6t= P
Solve for t :
15 + 4t = 5+ 6t
6t - 4t = 15-5 = 10
=> 2t=10
=> t=5
So Katie and Erica each bowled for 5 hours, and they both ended up paying P = $35.
To learn more about the solution of an equation from the given link
https://brainly.com/question/22688504
#SPJ1
Find the angle DEF
A. 158
B. 90
C. 39.5
D. 360
Answers
The measure of the angle DEF is 39.5 and thus option C is correct.
What is a circle simple definition?A circle is simply a round shape that has no corners or line segments. It is a closed curve shape in geometry. The points of circle are at a fixed distance from the center.
Given here: The arc angle as 79
But we know The measure of the angle is equal to half the sum of the intercepted arcs. The angle x is equal to half the sum of the intercepted arcs.
∴∠ DEF= 79/2
=39.5°
Hence, The measure of the angle is 39.5
Learn more about the circle here:
https://brainly.com/question/14200825
#SPJ1
a billboard designer has decided that a sign should have 5-ft margins at the top and bottom and 2-ft margins on the left and right sides. furthermore, the billboard should have a total area of 150 ft2 (including the margins). if x denotes the width (in feet) of the billboard, find a function in the variable x giving the area of the printed region of the billboard.
Answers
If x denotes the width (in feet) of the billboard, find a function in the variable x giving the area of the printed region of the billboard as a function of x is (150/x - 10)(x - 4).
A billboard designer has decided that a sign should have 5-ft margins at the top and bottom and 2-ft margins on the left and right sides.
x = width of the billboard designer
Total Area including margin = 150 ft^2
Height of the billboard = Area/width
Height of the billboard = 150/x
Before the height of the billboard = (150/x - 5 × 2)
Before the height of the billboard = (150/x - 10) ft
The width of the printed region billboard = (x - 2 × 2)
The width of the printed region billboard = (x - 4) ft
The area of the printed region of the billboard = The width of the printed region billboard × The height of the printed region billboard
The area of the printed region of the billboard = (150/x - 10)(x - 4)
To learn more about area of rectangle link is here
brainly.com/question/20693059
#SPJ4
The complete question is:
A billboard designer has decided that a sign should have 5-ft margins at the top and bottom and 2-ft margins on the left and right sides. Furthermore, the billboard should have a total area of 150 ft^2 (including the margins).
If x denotes the width (in feet) of the billboard, find a function in the variable x giving the area of the printed region of the billboard.
Area as a function of x =
88 1
2
3
81°
4
5
64%
m/1 =
m/2 =
m23 =
m/4 =
m25 =
Answers
Answer:
m<1 = 92°
m<2 = 24°
m<3 = 64°
m<4 = 35°
m<5 = 81°
Step-by-step explanation:
g a researcher is looking at the effect of drinking alcohol on the ability to play darts. he recruits 20 dart players from the nearby pub and has them come to a lab where he flips a coin for each player. if the coin comes up heads, he has the player drink a pint of beer. if the coin comes up tails, he has the player drink a pint of soda. each player then throws three darts at a dartboard and the score is recorded. the researcher calculates that the soda-drinkers score, on average, 2.5 points more than the beer-drinkers.
Answers
The paragraph above describes a/an c. controlled experiment.
The participants who drink beer are the b. control group, the participants who drink soda are the a. treatment group.
Flipping a coin to decide which player gets which drink is an example of g. randomization.
A controlled experiment is a type of study in which the researcher manipulates one or more independent variables to observe the effect on a dependent variable. In this case, the independent variable is the type of drink (beer or soda) and the dependent variable is the score achieved in a dart-throwing task.
The purpose of randomly assigning the players to drink either beer or soda is to control for any other factors that could affect the scores, such as the individual's dart-playing ability or the amount of alcohol consumed.
Learn more about the controlled experiments here:
https://brainly.com/question/3210387
#SPJ4
Complete Question:
A researcher is looking at the effect of drinking alcohol on the ability to play darts. He recruits 20 dart players from the nearby pub and has them come to a lab where he flips a coin for each player. If the coin comes up heads, he has the player drink a pint of beer. If the coin comes up tails, he has the player drink a pint of soda. Each player then throws three darts at a dartboard and the score is recorded. The researcher calculates that the soda-drinkers score, on average, 2.5 points more than the beer-drinkers.
The paragraph above describes a/an _____________.The participants who drink beer are th_____________, the participants who drink soda are the _____________. Flipping a coin to decide which player gets which drink is an example of _____________.
Choose from the list below to fill in the blanks.
a. treatment group
b. control group
c. controlled experiment
d. observational study
e. placebo
f. confounding factor
g. randomization
If a1 = 4 and an = an-1 — 2, then find the value of a5
Also please explain, I’m struggling with this
Answers
Answer:
5
Step-by-step explanation:
according to car and driver, an alfa romeo going 70 mph requires 177 feet to stop. assuming that the stopping distance is proportional to the square of the velocity, find the stopping distance required by an alfa romeo going at 25 mph and at 110 mph.At 25 mph, stopping distance =At 110 mph, stopping distance =
Answers
At 25 mph, stopping distance = 22.56 feet
At 110 mph, stopping distance = 436.81 feet
Now, According to the question:
Let d represents the stopping distance required by an alfa romeo.
The stopping distance is proportional to the square of velocity is equivalent to the equation,
[tex]d = kv^2[/tex]
Here, k is proportionality constant.
We have,
d = 177 feet and v = 70 mph.
So, proportionality constant
[tex]k =\frac{177}{(70mph)^2}[/tex] ≈ 0.0361
Thus, the stopping distances required by an alfa Romeo going at 25 mph and at 110 mph,
[tex]d_2_5=0.0361[/tex] × [tex](25mph)^2[/tex] = 22.56 feet
[tex]d_1_1_0[/tex] = 0.0361 × [tex](110mph)^2[/tex] = 436.81 feet
Learn more about Equation at:
https://brainly.com/question/17149704
#SPJ4
please answer question quickly, question from ixl.
Answers
Lexi made more than 400 fluid ounces of punch.
What is linear inequality?According to the mathematical definition of inequality, neither side is equal. When a relationship leads to a non-equal comparison between two expressions or numbers, it is known as an inequality in mathematics. The equal sign "=" in this phrase can be replaced by any of the inequality symbols, such as greater than (>), less than (<), more than or equal to (≥), less than (≤), or not equal to (≠).
Given Lexi made fruit punch for her Fourth of July party and split it equally among 50 cups There were more than 8 fluid ounces of punch in each one.
let x be the total punch Lexi made,
linear inequality for the condition is,
x/50 > 8
multiply both sides by 50
(x/50)*50 > 8*50
x > 400
Hence she made more than 400 ounces of punch.
Learn more about linear inequality;
https://brainly.com/question/11897796
#SPJ1
evalutate the espression I need help ASAP please don't answer incorrectly just for the points
Answers
The expressions are evaluated to 7 and -6
What are algebraic expressions?Algebraic expressions are mathematical expressions comprising of terms, coefficients, variables, constants and factors.
These expressions are also comprised of mathematical or arithmetic operations. These operations are;
MultiplicationSubtractionDivisionFloor divisionAdditionBracketParenthesesFrom the information given, we have that;
a. -4d + 3
b. k - m
Given that d= ,-1. k = 4 and m = -10
Now, substitute the values, we get;
a.-4(-1) + 3
expand the bracket
4 + 3 = 7
b. k - m
4 - 10
-6
Thus the values are 7 and -6
Learn about algebraic expressions on:
https://brainly.com/question/4344214
#SPJ1
express each of the complex numbers be-low in cartesian form (evaluate any trigonometricexpressions as decimal approximations). if using acalculator with complex number capability, you donot need to show your work, just state which calcu-lator you used to find the answer.
Answers
The following complex numbers are in cartesian form needs four decimal places for accuracy.
15 < -35° in Cartesian form is 15cos(-35°) + i15sin(-35°) = 12.96 - 6.59i.2e^-j0.6π in Cartesian form is 2cos(-0.6π) + i2sin(-0.6π) = -1.17 + 1.95i.(0.25 < -175°) in Cartesian form is 0.25cos(-175°) + i0.25sin(-175°) = 0.25 + 0.25i.-0.75e^j10° in Cartesian form is -0.75cos(10°) + i-0.75sin(10°) = -0.71 - 0.71i.
(25 - j15) × (-7.5 - j6) in Cartesian form is (25cos0° - 15sin0°) × (-7.5cos0° - 6sin0°) + i(25sin0° + 15cos0°) × (-7.5sin0° - 6cos0°) = -225 + 135i.(16e^-j25°) × (10 < -13°) in Cartesian form is (16cos(-25°) + i16sin(-25°)) × (10cos(-13°) + i10sin(-13°)) = 145.29 + 70.56i.The values for cosine and sine should be evaluated to at least 4 decimal places for accuracy.
To know more about complex numbers
brainly.com/question/20566728
#SPJ4
all ball can bounce to 95% of its original height what is the total vertical distance that it will travel if it is dropped from 20 feet
Answers
If dropped from a height of 20 feet, the ball will travel a vertical distance of 39 feet.
We know that a ball if dropped will bounce back to 95% of its original height.
This means that when a ball is dropped from a distance of 100 m, it will travel 95 meters up.
Here we have been given that the ball is dropped from a height of 20 feet.
Hence, it will bounce back to a height of
95% of 20 = 19 feet.
Hence, the total vertical distance traveled by the ball is
The height at which it was dropped from + distance it bounced back to
20 feet + 19 feet
= 39 feet.
To know more about Percentage visit
https://brainly.com/question/30109543
#SPJ4
Circle A has center of −2, −2 and a radius of 4, and circle B has a center of 3, 3 and a radius of 2. What steps will help show that circle A is similar to circle B
Dilate circle A by a scale factor of 0.5
Reflect circle A over the line y = x
Translate circle A using the rule (x − 5, y − 5)
Rotate circle A 90° clockwise about the origin
Answers
The required steps to show that circle A is similar to circle B are,
1. Dilate circle A by a scale factor of 0.5.
2. Translate circle A using the rule (x − 5, y − 5).
The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by
(x - h)² + (y - k)² = r²
where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.
Here,
Circle A = Center of −2, −2 and a radius of 4,
Circle B = Center of 3, 3, and a radius of 2.
Steps to show circle A is similar to circle B
1. Dilate circle A by a scale factor of 0.5
2. Translate circle A using the rule (x − 5, y − 5)
Learn more about circle here:
brainly.com/question/11833983
#SPJ1
Assume you have two integer variables, num1 and num2. Which of the following is the correct way to swap the values in these two variables? a) num1 = num2;
num 2 = num 1;
b) int temp = num1;
num2 = num1;
num1 = num2;
c) int temp = num1;
num2 = temp;
temp = num2;
num1 = temp;
d) int temp = num2;
num2 = num1;
num1 = temp;
Answers
The following is the correct way to swap the values in these two variables is:
d) int temp = num2;
num2 = num1;
num1 = temp;
Swapping Integer VariablesThis is because in d), the value of num2 is stored in a temporary variable temp before swapping. Then, the value of num1 is assigned to num2 and the value of temp is assigned to num1. This way the values of num1 and num2 are successfully swapped. The other options have logical errors in the swapping process.
Swapping values of variables is a basic concept in computer programming and is not a mathematical concept. However, it is related to mathematics in that programming can be used to solve mathematical problems.
For example, in mathematics, we might want to swap two values in a list so that we can sort the list in a certain order. In this case, the ability to swap values in programming can be applied to solving a mathematical problem. But the concept of swapping values itself is not a mathematical concept.
Learn more about Swapping Integer Variables here:
https://brainly.com/question/14549321
#SPJ4
Select the graph of the system of inequalities. –x + y ≤ –1 x + 2y ≥ 4
Answers
The common region to both the inequalities would be the solution region.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the compound inequality as -
–x + y ≤ –1
x + 2y ≥ 4
Refer to the graph of the inequalities attached. The common region to both the inequalities would be the solution region.
Therefore, the common region to both the inequalities would be the solution region.
To solve more questions on algebraic expressions, visit the link below-
brainly.com/question/1041084
#SPJ1
To investigate whether there is a significant difference between two regions of a state in the percent of voters who intend to vote for the incumbent governor in the next election, a polling agency interviewed 300 randomly selected voters from the north of the state and 400 randomly selected voters from the south of the state. Of those interviewed, 200 from the north and 325 from the south indicated they intended to vote for the incumbent governor in the next election. Which of the following is the most appropriate method for analyzing the results?
A one-sample z-test for a sample proportion
A one-sample z-test for a population proportion
A two-sample z-test for a sample proportion
A two-sample z-test for a difference in sample proportions
A two-sample z-test for a difference in population proportions
Answers
A two-sample z-test for a difference in population proportions is the appropriate method for analyzing the results.
Z-test is a statistical test often utilizes to find the difference in mean. It is coupled with variances and sample size to find the appropriate results. It is a hypothetical test where normal distribution is seen.
z-test holds numerous advantages such as it indicates difference in small size groups making it more usable. Moreover, it is also reliable in non-normal distribution of data and is efficient while taking multiple groups in a single analysis. The question has two different popular proportion and hence the two sample z-test will suitable to compare the means.
Learn more about z-test -
https://brainly.com/question/17144617
#SPJ4
[tex]\frac{x-4}{3}\leq 5[/tex]
Answers
Answer:
Hi, I'm Za'Riah! I will gladly assist you with your problem! (see explanation)
Step-by-step explanation:
Let's solve your inequality step-by-step.[tex]\frac{x-4}{3} \leq 5[/tex]
Step 1: Simplify both sides of the inequality.[tex]\frac{1}{3}x + \frac{-4}{3} \leq 5[/tex]
Step 2: Add 4/3 to both sides.[tex]\frac{1}{3}x+ \frac{-4}{3} + \frac{4}{3} \leq 5+ \frac{4}{3} \\\frac{1}{3}x\leq \frac{19}{3}[/tex]
Step 3: Multiply both sides by 3.[tex]3*\frac{1}{3}x\leq 3*( \frac{19}{3} )[/tex]
Answer:
x [tex]\leq[/tex] 19
(Hope this helped!)
(see image for number line graph)
84 ×7=( + 4)x = 80 x || + 28 + x 7
Answers
Answer:
The expression "84 × 7 = ( + 4) × = 80 × || + 28 + x 7" is not a valid mathematical equation and has errors in syntax. I suggest rephrasing it to a clear and well-formed equation for me to help solve.
Answer 5,6,&7 for brainliest and 20 points!!!
Answers
Answer:
5 - b
6 - a
7 - d
Step-by-step explanation:
5. When a number has an exponent for a fraction, it is asking for the root of the number.
[tex]b(x) = 6(\sqrt{16})[/tex]
[tex]b(x)=6*4[/tex]
[tex]b(x)=24[/tex]
6. Same thing as the previous problem.
[tex]k(x)=6(\sqrt[3]{27})[/tex]
[tex]k(x)=4(3)[/tex]
[tex]k(x)=12[/tex]
7. In the table of values, gives the value of f(x) and x when the other value is zero.
When x is zero, the other value is -4.
When f(x) is zero, the other value is 24.
28 represented 18% of the student body. How many students were in the student body
Answers
Answer:
below
Step-by-step explanation:
x = # of students in student body
.18 * x = 28
x = 28/.18 = ~ 156 students
6x-5=6x+5
given m||n find value of x
Answers
Answer:
x = 15º
Step-by-step explanation:
you see they are complementary angles in a straight line (180º), so:
6x - 5 + 6x + 5 = 180
12x = 180
x = 180 / 12
x = 15
And 6x - 5 is not equal 6x + 5 and will never be, I don't know where you got that from.
