The solution is 15 3/4 pages
The number of pages Matthew will read in one hour is 15 3/4 pages
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of pages Matthew reads in an hour be = A
Now , the number of pages Matthew reads = 26 1/4 pages
26 1/4 pages = 105/4 pages
The time required to read 26 1/4 pages = 1 2/3 hour
1 2/3 hours = 5/3 hours
Now , the equation will be
The number of pages Matthew can read in 1 hour A = number of pages Matthew reads / time required to read 26 1/4 pages
Substituting the values in the equation , we get
The number of pages Matthew can read in 1 hour A = ( 105/4 ) / ( 5/3 )
The number of pages Matthew can read in 1 hour A = 105/4 x 3/5
The number of pages Matthew can read in 1 hour A = ( 21 x 3 ) / 4
The number of pages Matthew can read in 1 hour A = 63/4 pages
The number of pages Matthew can read in 1 hour A = 15 3/4 pages
Therefore , the value of A is 15 3/4 pages
Hence ,
The number of pages Matthew will read in one hour is 15 3/4 pages
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ1
Reduce to the standard form
1) -18/45
2) -3/-15
3)28/56
4)45/99
The fractions reduced to standard form are -2/5, 1/5, 1/2 and 5/11 for 1), 2), 3), and 4) respectively
How to reduce fractions to standard form?
To reduce a fraction to standard form, you need to divide both the numerator (the top number) and the denominator (the bottom number) by their greatest common divisor (GCD). The GCD is the largest number that can be evenly divided into both the numerator and the denominator.
Given:
1) -18/45
The GCD of 18 and 45 is 9. Thus:
-18/45 = -2/5
2) -3/-15
The GCD of 3 and 15 is 3. Thus:
-3/-15 = 1/5
3) 28/56
The GCD of 28 and 56 is 28. Thus:
28/56 = 1/2
4) 45/99
The GCD of 45 and 99 is 9. Thus:
45/99 = 5/11
Learn more about reduction of fraction to standard form on:
https://brainly.com/question/11562149
#SPJ1
1)-6/15
2)1/5
3)1/2
4)5/11
1) -18/45
⇒-6/15
2)-3/-15
⇒-1/-5
⇒1/5
3)28/56
⇒4/8
⇒1/2
4)45/99
⇒15/33
⇒5/11
For more information regarding division of fractions
https://brainly.com/question/1622425
Quadrilateral MNOP has coordinates M(-1, -1), N(-2, -5), O(1, -4), and P(0, -1). If the quadrilateral is rotated 360° clockwise about the origin, what are the coordinates of P'?
The coordinates of P' after the transformation are P'(0, -1)
How to determine the coordinates of P'?From the question, we have the following parameters that can be used in our computation:
M(-1, -1), N(-2, -5), O(1, -4), and P(0, -1)
The transformation is given as
A rotation of 360° clockwise about the origin
The above transformation is represented as
(x, y) = (x, y)
This means that
P'(0, -1) = P(0, -1)
This means that the coordinates of P' are (0, -1)
Read more about transformation at
https://brainly.com/question/27224272
#SPJ1
What does 43,589 + 12,641 equal
Also, what does
63,274+ 97,047 and what does 41,805- 26,426 equal and my last question what does 82,004-11,534
Equal
Answer:
1st one is 160,321
2nd one is 15,379
3rd one is 70,470
Step-by-step explanation:
63,274+ 97,047 = 160,321
41,805- 26,426 = 15,379
82,004-11,534 = 70,470
Mrs. Boggs asked her students to create a cylinder to hold
chocolate candies using a standard piece of paper (8.5 inches by 11 inches.)
Some of the students made cylinders that were 11 inches tall, and others created cylinders that were 8.5 inches tall.
The students began discussing the amount of chocolate candies
that each person could store. Oliver said that each cylinder
would hold the same amount of chocolate candies because they used the same size paper. Anna disagreed.
Who is correct? Try it out with a piece of paper and then use the calculations on the next page to compare.
The cylinder made with a paper size of 8.5 inches by 11 inches is having more volume and thus contains more chocolate, so, the statement by Oliver is wrong.
What is cylinder?
A cylinder is a three-dimensional solid that maintains two parallel bases spaced at a set distance from one another. These bases often have a circular form (like a circle).
Given:
The size of the first paper = 8.5 inches by 11 inches,
The size of the second paper = 11 inches by 8 inches,
The width of the paper when folded becomes the circumference of the cylinder circle, so,
Circumference of the cylinder for the first case = 2 × π × r
11 = 2 × π × r,
r = 1.75 inches,
The volume of the cylinder for the first case = π × r² × h
The volume of the cylinder for the first case = π × (1.75)² × 8.5
The volume of the cylinder for the first case = 81.78 inches³
Calculate the volume for the second case,
Circumference of the cylinder for the second case = 2 × π × r,
8.5 = 2 × π × r
r = 1.35 inches
The volume of the cylinder for the second case = π × (1.35)² × 11
The volume of the cylinder for the first case = 63.24 inches³
As we know, the cylinder with a higher volume contains more chocolate.
To know more about cylinders:
https://brainly.com/question/15891031
#SPJ1
Nine more than seven times a number is sixteen
Last question help anyone??
Answer:
Step-by-step explanation:
Writing this out would be 9+7x=16. minus 9 from 16 which would equal 7 so x=1 because 7+9=16
This question has two parts. First, answer Part A. Then, answer Part B.
Part A
The expressions in the table represent the number of canned goods collected by two homerooms during a charity food drive.
Homeroom Cans Collected
Mr. Juarez 8n−7
Ms. Wade 6n+3
Write an expression that shows the total number of cans collected by both homerooms.
Part B
The students in Mr. Juarez's homeroom collected more cans than students in Ms. Wade's homeroom. Write an expression that represents how many more cans were collected.
The expression that shows the total number of cans collected by both homerooms is 14n - 4
The expression for more cans collected is 8n - 7 > 6n + 3
The total number of cans collectedFrom the question, we have the following parameters that can be used in our computation:
Homeroom Cans Collected
Mr. Juarez 8n−7
Ms. Wade 6n+3
The total number of cans collected is calculated as
Cans collected = Mr. Juarez + Ms. Wade
Substitute the known values in the above equation, so, we have the following representation
Cans collected = 8n - 7 + 6n + 3
Evaluate the like terms
Cans collected = 14n - 4
How many more cans were collectedHere, we have
Mr. Juarez's homeroom collected more cans
This means that
Mr. Juarez > Ms. Wade
Substitute the known values in the above equation, so, we have the following representation
8n - 7 > 6n + 3
Hence, the expression is 8n - 7 > 6n + 3
Read more about expressions at
https://brainly.com/question/4344214
#SPJ1
Please help I’m failing
Answer:
YX = 5.1
if the answer is rounded to the nearest 10th then:
YX = 5.2
Step-by-step explanation:
⭐What is the circumcenter of a triangle?
the point of concurrency (intersection) of the perpendicular bisectors⭐What are the properties of a circumcenter?
the perpendicular bisectors bisect each side and form a right anglethe distance from each vertex to the circumcenter is congruent (the same)Let's use the properties of a circumcenter to solve for YX.
Because the circumcenter is the intersection of the perpendicular bisectors :
If Y is the circumcenter, then XU = SX.
If Y is the circumcenter, then ∠UXY = 90°.
If ∠UXY = 90°, then ∠SXY = 90°.
If SX = 13, then XU = 13 .
If YT = 14, then YU = 13.
If YU = 13, then YS = 13.
ΔUXY and ΔSXY. YX is the height of both triangles.
Therefore, we can use the Pythagorean Theorem ([tex]c^2 = a^2 + b^2[/tex]) to solve for YX.
Set up the equation. Let c = the hypotenuse and let a and b = the legs:
[tex]c^2 = a^2 + b^2[/tex]
[tex]14^2 = 13^2 + YX^2[/tex]
[tex]196 = 169 + XY^2[/tex]
[tex]27 = XY^2[/tex]
[tex]\sqrt{27} = \sqrt{XY^2}[/tex]
∴ 5.1/5.2 = XY
⭐if this response helped you, please mark it the "brainliest"!⭐
You mix 1 fourth cup of crisp wheat cereal with 1 1 half cups of crisp rice cereal. Find and interpret the value of the ratio of crisp wheat cereal to crisp rice cereal.
The amount of crisp wheat cereal is _____ the amount of crisp rice cereal
Response:
Answer:
The value of the ratio of crisp wheat cereal to crisp rice cereal is 1/4 to 1 1/2, which can be simplified to 1/4 to 3/2. This means that for every 4 parts of crisp wheat cereal, there are 3 parts of crisp rice cereal. The amount of crisp wheat cereal is therefore less than the amount of crisp rice cereal. Specifically, the amount of crisp wheat cereal is 1/4 * the amount of crisp rice cereal.
Step-by-step explanation:
What is the value of p in the equation 8p 2 = 4p - 10?
Answer:
Step-by-step explanation:
A coordinate plane. The x- and y-axes each scale by one. A graph of a line intersects the points zero, negative three and one, negative one.
A coordinate plane. The x- and y-axes each scale by one. A graph of a line intersects the points zero, negative three and one, negative one.
What is the slope of the line?
The slope of the linear equation is a negative value, equal to -2.
How can I find out what the slope of the linear equation is?The following is an example of a generic linear equation:
y = m*x + k
Where m represents the slope, and k represents the y-intercept of the equation.
If we know that the lie goes through two points (a, b) and (c, d), then the formula that describes the slope of the lie is as follows:
m = (d - b)/(c - a) (c - a)
Since we already know that the line traverses the points (0, 2) and (1, 0), we can calculate the slope as follows:
m = (0 - 2)/(1 - 0) = -2
Our investigation leads us to the conclusion that the slope of the linear equation is -2.
Gain a deeper understanding of linear equations:
brainly.com/question/1884491
#SPJ1
Answer:
2
Step-by-step explanation:
I did it
member c: works 7 hours per week at $7.25 per hour member d: works 9 hours per week at $6.35 per hour a. a and b b. a and c c. b and c d. b and d
Only member B and D will reach their goal.
Given;
Amount to be saved = $285
Total time to save money = 5 weeks
Now,
For member A:
Working hours = 8 per week
per hour earnings = $6.15
Therefore,
The total amount collected
= working hours per week × Total weeks × Earning per hour
= 8 × 5 × 6.15
= $246
For member B:
Working hours = 10 per week
per hour earnings = $5.85
Therefore,
The total amount collected
= working hours per week × Total weeks × Earning per hours
= 10 × 5 × 5.85
= $292.5
For member C:
Working hours = 7 per week
per hour earnings = $7.25
Therefore,
The total amount collected
= working hours per week × Total weeks × Earning per hours
= 7 × 5 × $7.25
= $253.75
For member D:
Working hours = 9 per week
per hour earnings = $6.35
Therefore,
The total amount collected
= working hours per week × Total weeks × Earning per hours
= 9 × 5 × $6.35
= $285.75
Since, the amount earned by member B and D is greater than the goal amount and the amount earned by member A and C is less than the goal amount
therefore,
Only member B and D will reach their goal
Learn more about Solving equations here:
https://brainly.com/question/28405823
#SPJ4
Your question is incomplete. Please find the missing content below:
To be able to go on the band trip, four band members each get a part-time job. Each person has 5 weeks in which to save his or her money. Analyze the four individual plans below and decide which of the four people will reach his or her goal of saving $285? Member A: Works 8 hours per week at $6.15 per hour Member B: Works 10 hours per week at $5.85 per hour Member C: Works 7 hours per week at $7.25 per hour Member D: Works 9 hours per week at $6.35 per hour
A canvas is shaped like a square witht he side lengths of 6a^4b^9 units. Marissa will cover completely with the square mosaic tiles that have side lengths of ab^3 units. How many tiles with it take to cover the canvas? Express the answer in simplifled form
It will take 36a⁶b¹² tiles to cover the canvas
How to determine how many tiles it will take to cover the canvas?Given:
Side lengths of square canvas = 6a⁴b⁹ units
Side lengths of square mosaic tiles = ab³ units
Area of square = L²
where L is the side length of the square
Area of square canvas = 6a⁴b⁹ × 6a⁴b⁹ = 36a⁸b¹⁸ units²
Area of square mosaic tiles = ab³ × ab³ = a²b⁶ units²
Number of mosaic tiles = Area of square canvas / Area of square mosaic tiles
Number of mosaic tiles = 36a⁸b¹⁸ / a²b⁶ = 36a⁶b¹²
Learn more area of square on:
https://brainly.com/question/24487155
#SPJ1
The cost of rice is proportional to its weight. Rice costs $0.71 per 16 ounces
Part B.
What is the cost, in dollars, of 30 ounces of rice?
Answer: $1.33
Step-by-step explanation:
30/16 = 15/8
.71 · 15/8 = 1.33125
For what values of x, y, and z is this a parallelogram?
The values of x = 19.5, y= 17, and z=30.6 is not valid for the parallelogram.
What are the Properties of Angles of a Parallelogram?
A parallelogram is a quadrilateral with equal and parallel opposite sides. There are some special properties of a parallelogram that make it different from the other quadrilaterals.
The opposite angles of a parallelogram are congruent (equal). All the angles of a parallelogram add up to 360°. All the respective consecutive angles are supplementary.The consecutive angles are supplementary then,
5y + 7y - 24 = 180
12y = 180 + 24
12y = 204
y = 204/12
y = 17
The opposite angles of a parallelogram are congruent (equal) then,
5y = 4x + 7
5(17) = 4x + 7
85 = 4x + 7
85 -7 = 4x
4x = 78
x = 78/4 = 19.5
x = 19.5
the consecutive angles are supplementary, then
4x + 7 + 3z = 180
4(19.5) + 7 + 3z = 180
78 + 7 + 3z = 180
85 + 3z = 180
3z = 180 - 88
3z = 92
z = 92/3
z = 30.6
All the angles of a parallelogram add up to 360°, then:
4x + 7 + 3z + 5y +7y - 24 = 360
To check is this a parallelogram? put the values of x, y, and z in the above equation:
4(19.5) + 7 + 3(30.6) + 5(17) +7(17) - 24 = 360
356.8 ≠ 360
hence, the values of x = 19.5, y= 17, and z=30.6 is not valid for the parallelogram.
To learn more about the Properties of Angles of a Parallelogram visit,
https://brainly.com/question/29782038
#SPJ1
on the number line, the distance between x and y is greater than the distance between x and z. does z lie between x and y on the number line?
yes, z can lie between x and y but z can also lie on another side of x in Number lines.
With an example, define number line?
Number lines in mathematics are horizontal straight lines on which numbers are arranged in equal intervals.
A number line can be used to visualize all the numbers in a succession. The endpoints of this line go on forever.
What does the math number line mean?
A horizontal line with uniformly spaced numerical increments is called a number line. How the number on the line can be answered will depend on the numbers that are provided.
How a number is used—for example, to plot a point—depends on the question that goes with it.
Learn more about number line
brainly.com/question/13425491
#SPJ4
how many permutations of the letters in word massachusetts have consonants in the first two positions and a vowel in the last?
The term permutation refers to a mathematical calculation of the number of ways a particular set can be arranged. Put simply, a permutation is a word that describes the number of ways things can be ordered or arranged. With permutations, the order of the arrangement matters.
There are 8 consonants in the word "Massachusetts" those are m,3s,c,h,2t
So there are 8 choices for the first letter and 7 choices for the second letter. There are 5 vowels in the word.
So there is 1 choice for the third letter. Therefore, there are a total of 8 * 7 * 1 = 56 permutations of the letters in "Massachusetts" with consonants in the first two positions and a vowel in the last.
To know more about permutation visit :
https://brainly.com/question/1216161?referrer=searchResults
#SPJ4
Matthew Westhoven deposited $925 in a new regular savings account that earns 5.5% interest compounded semiannually for 1 year. What is the compound interest?
The compound interest received by Matthew Westhoven is $51.80
What is compound interest?The interest you earn on interest is known as compound interest. Simple math may be used to demonstrate this: if you have $100 and it generates 5% interest annually, you will have $105 at the end of the first year. You'll have $110.25 after the second year is over.
Given, the principal amount (P) = $925
Compound interest percentage (r) = 5.5% = 0.055
Time period (t) = 1
Since, it is semiannually compounded (n) = 2*t = 2
Amount (A) = P(1 + r/n)^nt
= 925(1 + 0.055/2)^2
= 925(1.0275)^2
= 925(1.056)
= 976.80
Thus, Interest amount (CI) = A - P
= $976.80 - $925
= $51.80
The compound interest received by Matthew Westhoven is $51.80
To know more about compound interest visit:
brainly.com/question/14295570
#SPJ1
The Present Population of salyankot is 17486. The annual growth rate is 18%. What was the population before 2 years?
Answer:
Step-by-step explanation:
To find the population of Salyankot before 2 years, we can use the formula for exponential growth:
Population at time t = Population at time 0 * (1 + growth rate)^t
In this case, the population at time 0 is 17486, the growth rate is 18%, and t is 2. We can plug these values into the formula as follows:
Population before 2 years = 17486 * (1 + 0.18)^2 = 17486 * 1.36 = 23,744
Therefore, the population of Salyankot before 2 years was approximately 23,744.
HELP PLEASEEEE ASAP
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total $29,521. The variable costs will be $12 per book. The publisher will sell the finished product to bookstores at a price of $25.25 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?
Answer:
2,228
Step-by-step explanation:
Each unit will make 13.25 in profit before incorporating the one time cost. This means that 29,521/13.25= the amount needed to break even.
Find the lengths of segments AD and BD. Then check your answers using a different method.
Answer: BD = 5
Step-by-step explanation:
Using the Pythagorean theorem [tex]a^{2} + b^{2} =c^{2}[/tex] where c is the hypotenuse, we can solve for BD[tex]a^{2} +12^{2} =13^{2}[/tex]
[tex]a^{2} =13^{2}-12^{2}[/tex]
[tex]a = \sqrt{25}[/tex]
[tex]a = 5[/tex]
Therefore BD = 5
Mikaela purchased a paddleboard originally priced at $699. If all merchandise was on sale for 40% off and the state tax rate is 7. 25%, what is the total amount that mikaela spent on the paddleboard?.
The total amount that Mikaela spent on the paddleboard will be $449.80.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths.
As per the given,
Original price = $699
The selling price = $699 - 40% of $699
⇒ $699 - 0.40 x $699 = $419.4
The state tax (assuming it applied to the selling price) will be as,
7.25% of $419.4 = (7.25/100) x 419.4 = $30.4065
Final amount = $419.4 + $30.4065 = $449.80
Hence "Mikaela will have spent $449.80 in total on the paddleboard".
For more about the percentage,
brainly.com/question/13450942
#SPJ1
Find the inverse of f(x) = 2(x-2) ^2 +1
Find the inverse of y = ^3√x-3
Answer:
f^-1(x) = 2(x-2)^2 + 1
f^-1(x) = (x+3)^3
Step-by-step explanation:
The inverse of a function is found by switching the roles of the dependent and independent variables. In other words, we can find the inverse of a function by interchanging the x and y values in the equation. So, the inverse of the function f(x) = 2(x-2)^2 + 1 can be written as f^-1(x) = 2(x-2)^2 + 1.
1. To find the inverse function explicitly, we can use the following steps:
2. Replace f(x) with y in the original function to obtain y = 2(x-2)^2 + 1.
3. Solve for x in terms of y to obtain x = +/- sqrt((y-1)/2) + 2.
The inverse function f^-1(x) can then be written as f^-1(x) = +/- sqrt((x-1)/2) + 2.
Note that this inverse function is not a one-to-one function, because for some values of x (namely, x < 1), the function has two possible values of y (i.e. it has two solutions). Therefore, the inverse function is not a function in the strict mathematical sense, but it is still a useful concept in certain contexts.
To find the inverse of a function, we switch the roles of the dependent and independent variables, so the inverse function can be written as x = ^3√y-3.
1. To find the inverse function explicitly, we can use the following steps:
2. Replace y with x in the original function to obtain x = ^3√y-3.
3. Solve for y in terms of x to obtain y = (x+3)^3.
The inverse function can then be written as f^-1(x) = (x+3)^3.
Note that this inverse function is a one-to-one function, meaning that for every value of x, there is only one corresponding value of y. Therefore, the inverse function is a function in the strict mathematical sense.
Please help me identify the equation for this table
Answer: y=12x
Step-by-step explanation: I'm guessing that you need to write the equation in y=mx form. The variable "m" means slope and the slope of the table is 12.
What are the slope and Y intercepted of the relationship?
The slope of the equation 10x+5y-15=0 is -2 and the y-intercept is 3.
What is the slope-intercept form of the line?
The slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y-intercept (0, b). In the formula, b represents the y value of the y-intercept point.
To find the slope of the equation, we need to put it in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
To do this, we can first divide both sides of the equation by 5 to get:
2x + y - 3 = 0
Then, we can add 3 to both sides to get:
y = -2x + 3
Now comparing the equation with y = mx + c, we can say that
the slope is -2 and the y-intercept is 3.
Hence, the slope of the equation 10x+5y-15=0 is -2 and the y-intercept is 3.
To learn more about the slope-intercept form of the line, visit:
https://brainly.com/question/25722412
#SPJ1
A bakery used `25\%` less butter this month than last month.
The bakery used `240` kilograms of butter this month.
How much did it use last month?
In linear equation, The amount of butter used is an illustration of equivalent ratio.
The amount of butter used last month is 300kg.
What is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
Because the bakery used 25% more last month, the amount they used is then calculated using
Amount = ( 1 + 25%) * last month
Substitute 240kg for Last Month
Amount = ( 1 + 0.25) * 240
Remove brackets
Amount = 1.25 * 240kg
= 300 kg
Hence, the amount of butter used last month is 300kg.
Learn more about linear equation
brainly.com/question/11897796
#SPJ1
The perimeter of the rectangle below is 64. Write and solve an equation
for x.
4x-3
O x=65/11
O x=3
Ox=65/3
O x = 3.5
7x + 2
Answer:
the value of x is 3.5.
Step-by-step explanation:
To find the perimeter of a rectangle, we need to add up the lengths of all four sides. In the given rectangle, the lengths of the sides are 4x-3, 7x+2, 4x-3, and 7x+2. We can write this as:
Perimeter = (4x-3) + (7x+2) + (4x-3) + (7x+2)
Perimeter = 2(4x-3) + 2(7x+2)
Perimeter = 8x - 6 + 14x + 4
Perimeter = 22x
We are told that the perimeter is 64, so we can set up the equation 22x = 64 and solve for x.
22x = 64
x = 64 / 22
x = 3.5
Therefore, the value of x is 3.5.
Whats the value of y ?
[tex] \displaystyle{ \qquad \sf \: y = \sf \int _0 }^{1} \sf (x {}^{2} + 5)\: \: dx[/tex]
Answer:
5 1/3
Step-by-step explanation:
You want the value of the definite integral of (x² +5) on the interval [0, 1].
IntegralThe power rule applies:
∫(x^n)dx = (x^(n+1))/(n+1)
This means the integral is ...
[tex]\displaystyle \int_0^1{(x^2+5)}\,dx=\left(\dfrac{x^3}{3}+5x\right)_0^1=\dfrac{1}{3}+5[/tex]
The value of y is 5 1/3.
need help! can't figure it out :/
Answer:
please tell me if you get the answer. I need it too!
In a video game, a player follows a certain path that can be partially modeled by the functionf(x)=x(x−5)(x−3) . This function can be graphed on a coordinate plane.
The graph of the function f(x) = x(x - 5)(x - 3) is given by the image shown at the end of the answer.
How to draw the sketch of the graph?To draw the sketch of the graph, we need to consider these three following features:
The x-intercepts.The y-intercept.The end behavior.The function in this problem is defined as follows:
f(x) = x(x - 5)(x - 3).
From the factor theorem, the x-intercepts are taken from the linear factors, as follows:
x = 0.x - 5 = 0 -> x = 5.x - 3 = 0 -> x = 3.The y-intercept is the value of y when the graph of the function crosses the y-axis, that is, the value of y when x = 0, hence:
f(0) = 0(0 - 5)(0 -3) = 0.
In the problem, we have a cube function, hence:
At the left tail(negative infinity) it goes to negative infinity.At the right tail(positive infinity) it goes to positive infinity.More can be learned about functions at https://brainly.com/question/24808124
#SPJ1
the death rate from a particular form of cancer is 23%. researchers believe that a new, experimental drug will lower this death rate. they conduct an experiment and find that when treated with this experimental drug, only 15 out of 84 patients (18%) die during the initial year. after running a z of proportion test statistic, the researchers find a p-value of .03. which definition of a p-value is the most accurate?
If the null hypothesis is correct, there is a 0.03 percent chance that the observed result (18%) or a more severe outcome will occur. The right response in this case is option D.
In this case, the percentage of the stated mortality rate is 23%, or [tex](p_{0} =0.23)[/tex]. Moreover, a fatality rate of less than 23% is asserted.
Alternative hypothesis:
[tex]H_{1}:p < p_{0}[/tex]
Null hypothesis :
[tex]H_{0} : p\geq p_{0}[/tex]
It will be a left-tail test since the alternative hypothesis is less than the specified value. If we were to use a 0.05 threshold of significance, the left tail test's p-value would be (0.03)0.05. This indicates that there is a 95% chance that the null hypothesis is false.
Complete question:
The death rate from a particular form of cancer is 23%. Researchers believe that a new, experimental drug will lower this death rate. They conduct an experiment and find that when treated with this experimental drug, only 15 out of 84 patients (18%) die during the initial year. After running a z of the proportion test statistic, the researchers find a p-value of .03. Which definition of a p-value is the most accurate?
A. The probability that the observed result (18%) or a result more extreme will occur if the null hypothesis is true is .03.
B. The probability that the alternative hypothesis (that the experimental drug will lower the death rate) is true is .03.
C. The probability that the observed result (18%) will happen again is .03.
D. The probability that the null hypothesis (that the experimental drug will not change the existing death rate of 23%) is true is .03.
To learn more about the hypothesis
https://brainly.com/question/29519577
#SPJ4
