The maximum profit for soybeans is 30 acres and the maximum profit for wheat is 60 acres.
The maximum profit from these 70 acres is $12600
What is profit?Mathematically profit is considered the amount of gain from any business activity. Whenever a shopkeeper sells a product, his motive is to take advantage of the buyer in the name of profit. .
Given,
Total land = 70 acres
For soyabeans,
1 acre = $60 for 3days
⇒Profit=$180
Foe wheat,
1 acre = $30 for 4days
⇒Profit=$100
Working days must ≤ 120
Preparation cost ≤ 1800
For soyabeans,
60$ for 3 days
1800$ for ?
x = (1800×3)/60
x = 90 days
1 acre = 3 days
? = 90 days
x = 90/3
x = 30 acres
For wheat,
30$ for 4 days
1800$ for ?
x = (4×1800)/30
x = 240 days
1 acre for 4 days
? for 240 days
x = 240/4
x = 60 acres
The maximum profit for soybeans is 30 acres and the maximum profit for wheat is 60 acres.
Maximum profit is:
1 acre for 180$
70 acres for ?
x = (180×70)/1
x = $12600
The maximum profit from these 70 acres is $12600
To know more about profit, visit:
https://brainly.com/question/21297845
#SPJ1
The distance between two streets on a map is 12 centimeters. If the two streets are actually 2/3 of a mile apart, what is the scale on the map?
A. 1 cm = 18 mi.
C. 1 cm 8 mi.
B. 18 cm 1 mi.
D. 8 cm = 1 mi.
The value of the scale on the map is 18 cm 1 mi
What is meant by scale of map ?Knowing the distance between two places on the map and measuring that distance on the map will yield the scale. Additionally, if a map has division lines, they are normally spaced apart by a mile. Example 4: On the map, the separation between points A and B is 6 inches
The ratio between a distance on a map and its corresponding distance on the ground is referred to as the "map scale."
People can accurately visualise how the distances mentioned on the map are plotted by using map scales. This is helpful in figuring out how to get from one place to another, especially if one travels or works in a profession that requires similar knowledge.
Given,
Model cm/actual miles
12/2/3
= 12/1,3/2
=18/1
=18:1
Therefore the value of the scale on the map is 18 cm 1 mi
To learn more about scale on the map refer to :
https://brainly.com/question/27928319
#SPJ1
The x-intercepts of this line are -4 and -1. What do you notice?
The parabola's graph leads us to deduce that the quadratic equation is
x² + 5x + 1.
What is a quadratic equation?An algebraic expression with variables and constants is known as a quadratic equation.
Since the degree of a quadratic equation is two, it has two roots.
We are aware that the roots of a quadratic equation can be found at the vertex of a parabola, which is the graph of a quadratic function.
Given, The roots of the equation are x = - 4 and x = - 1, and the quadratic expression is, as the vertex of the parabola is at (-4, -1),
(x + 4)(x + 1).
= x² + x + 4x + 1.
= x² + 5x + 1.
learn more about quadratic equations here :
brainly.com/question/17177510
#SPJ1
A random variable Y is such that E(y)= 3.8 and Var(y)= 2.16
Calculate E( 3y +2)
Var( 3y+ 2)
The expectation, E(3y +2) and variance, Var(3y+2) of the random variable are 13.4 and 19.44 respectively
How to determine the expectation and variance of a random variable?The expectations or expected value E(y) of a random variable can be thought of as the “average” value of the random variable. It is also called its mean
By definition:
if y = ax + b
then E(y) = aE(x) + b
where a,b = constant
The variance V(y) of a random variable is the measure of spread for the distribution of a random variable that determines the degree to which the values of a random variable differ from the expected value
By definition
if y = ax + b
V(b) = 0
V(y) = V(ax) + V(b)
= a²V(x) + 0
where a,b = constant
Given: E(y)= 3.8 and Var(y)= 2.16
Calculate E( 3y +2) and Var( 3y+ 2)
E(3y +2) = 3E(y) + 2 since E(y) = 3.8
= 3×3.8 + 2
= 11.4+2
= 13.4
Var(3y+2) = 3²Var(y) + 0
= 9×2.16
= 19.44
Therefore, E(3y +2) is 13.4 and Var(3y+2) is 19.44
Learn more about expectations and variance on:
https://brainly.com/question/15858152
#SPJ1
62 hours is what percent of 3 days?
62 hours is 86% percent of 3 days
What is percentage and how to calculate it?
Percentage is the ratio in which the denominator is 100. To calculate the percentage we multiply the obtained value by 100.
We are given 62 hours and 3 days
Now 1 day has 24 hours
Hence 3 days will have 3*24 = 72 hours
Now To find the percentage we first have to find the ratio of 62 and 72
And to do that we divide 62 by 72
we get 62/72 = 0.86
To get the percentage we multiply this value by 100
0.86 * 100= 86%
Hence, 62 is 86% of 3 days
To learn more about percentage please refer the following link
https://brainly.com/question/24877689
#SPJ13
Proving parallels! Help with all of them PLEASE!!?? Literally abt to
Remember rules with angles when parallels are present (alternate interior/exterior angles, corresponding angles, same side interior/exterior angles, etc.)
Statements Reasons
∠3 = ∠5 m || n, alternate interior angles
∠5 = ∠13 a || b, corresponding angles
∠3 = ∠13 substitution property: ∠3 =∠5 and ∠5 =∠13
The sixth term of an arithmetic sequence is
3
2
, and the twelfth term iS
5
2
What is the common difference of the arithmetic
sequence?
The common difference is
The sixth term of an arithmetic sequence is 3/2 and the twelfth term is 5/2. The common difference is 1/6.
Define common difference.A common difference in an arithmetic series is one between any term and its predecessor, and it is typically denoted by the letter "d". So, subtract the first term from the second term, the second term from the third term, etc. to find the common difference of an arithmetic sequence. The common difference is the difference that exists between every pair of phrases that follow one another in a series. For instance, the number 3 is a common difference in the series 4, 7, 10, 13, etc. An arithmetic progression is a series of differences.
Given,
a₆ = 3/2
a₁₂ = 5/2
Arithmetic sequence:
a₇ = a₆ + d
a₈ = a₇ + d
a₈ = a₆ + 2d
a₉ = a₈ + d
a₉ = a₆ + 3d
...
a₁₂ = a₁₁ + d
a₁₂ = a₆ + 6d
As given,
a₆ = 3/2
a₁₂ = 5/2
Equating,
5/2 = 3/2 + 6d
6d = 1
d = 1/6
The sixth term of an arithmetic sequence is 3/2 and the twelfth term is 5/2. The common difference is 1/6.
To learn more about common difference, visit:
https://brainly.com/question/11559160
#SPJ13
Answer:
[tex]\dfrac{1}{6}[/tex]
Step-by-step explanation:
General form of an arithmetic sequence:
[tex]\boxed{a_n=a+(n-1)d}[/tex]
Where:
[tex]a_n[/tex] is the nth term.[tex]a[/tex] is the first term.d is the common difference between consecutive terms.n is the position of the term.Given terms:
[tex]a_6=\dfrac{3}{2}[/tex]
[tex]a_{12}=\dfrac{5}{2}[/tex]
Substitute the given terms into the formula to create two equations for a:
Equation 1
[tex]\begin{aligned}a_6=a+(6-1)d&=\dfrac{3}{2}\\\\a+5d&=\dfrac{3}{2}\\\\a&=\dfrac{3}{2}-5d\end{aligned}[/tex]
Equation 2
[tex]\begin{aligned}a_{12}=a+(12-1)d&=\dfrac{5}{2}\\\\a+11d&=\dfrac{5}{2}\\\\a&=\dfrac{5}{2}-11d\end{aligned}[/tex]
Substitute the second equation into the first equation and solve for d:
[tex]\begin{aligned}\implies \dfrac{5}{2}-11d&=\dfrac{3}{2}-5d\\\\\dfrac{5}{2}-11d-\dfrac{3}{2}&=\dfrac{3}{2}-5d-\dfrac{3}{2}\\\\\dfrac{2}{2}-11d&=-5d\\\\1-11d&=-5d\\\\1-11d+11d&=-5d+11d\\\\1&=6d\\\\\dfrac{1}{6}&=\dfrac{6d}{6}\\\\\dfrac{1}{6}&=d\end{aligned}[/tex]
Therefore, the common difference of the arithmetic sequence is ¹/₆.
and has a slope of -5/4
A line passes through the point 8,3
Write an equation in slope-intercept form for this line.
Answer:
y = (- 5/4)x + 13==============================
GivenLine with the slope of -5/4,Passing through the point (8, 3).To findEquation of the line in slope-intercept formSolutionSlope-intercept form:
y = mx + b, where m- the slope, b- the y-interceptFind the value of b:
3 = (- 5/4)*(8) + b3 = - 10 + bb = 3 + 10b = 13The line is:
y = (- 5/4)x + 13Answer:
y = (-5/4)x + 13
Step-by-step explanation:
Formula we use,
→ y = mx + b
Now the value of b will be,
→ 3 = (-5/4)8 + b
→ 3 = -40/4 + b
→ 3 = -10 + b
→ 3 + 10 = b
→ [ b = 13 ]
Then the equation will be,
→ y = mx + b
→ 3 = (-5/4)8 + 13
→ y = (-5/4)x + 13
Thus, answer is y = (-5/4)x + 13.
If the mean is 48.69 and the standard deviation 17.993 assuming the distribution of age is normal calculate the number of people who should be 25 years of age or less
Using probability of a randomly chosen person, 270 people should have age less than or equal to 25.
From the given question,
Mean = 48.69
Standard Deviation = 17.993
We have to find the distribution of age is normal calculate the number of people who should be 25 years of age or less.
If 'X' is the age of a randomly selected individual in the sample, and that individual has a mean and a standard deviation that are normally distributed, then that individual's age has a standard normal score of -
Z = X- Mean/standard deviation
Z = X-48.69/17.993
Thus, Z-score for 25 year old is -
Z = 25 -48.69/17.993
Z = -23.69/17.993
Z = -1.317
Z= -1.317(approx)
The probability of a randomly chosen person to be 25 years of age or less in the sample is -
P(X < 25) = P(Z < -1.317)
P(X < 25) = 0.0939
As there are N = 2867 people in the data, so number of people expected to have age less than 25 is -
n = N x P(X < 25)
n = 2867 x 0.0939
n = 269.21
n = 270(approx)
Thus, 270 people should have age less than or equal to 25.
To learn more about probability link is here
brainly.com/question/22544647
#SPJ9
Right question
"If the mean is 48.69 and the standard deviation 17.993. Assuming the distribution of age is normal calculate the number of people who should be 25 years of age or less.
Statistic
Number valid = 2867
Question content area top
Part 1
Find the coordinates of the image.
Ry=−2(P)
The image is enter your response here. (Type an ordered pair.)
The coordinates of the image are -2P
How to determine the coordinates of the image?From the question, we have the following parameters that can be used in our computation:
Ry = -2(P)
To calculate the coordinate of the image, we simply open the bracket
So, we have
Ry = -2(P)
Solving further, the equation can be represented as
Ry = -2 * P
Evaluate the product
So, we have the following representation
Ry = -2P
Hence, the image has an coordinate or ordered pair of -2P
Read more about transformation at
https://brainly.com/question/27224272
#SPJ1
Find the consumers' surplus if the demand function for a particular beverage is given by D(q) =
9=4
3000
(3q+ 1)²
and if the supply and demand are in equilibrium at
As per the given demand function and equilibrium point, the consumers' surplus is 852.072.
What is consumer surplus?
Consumer advantages from market competition are measured economically as consumer surplus. When customers pay less for a good or service than they are willing to, this is known as a consumer surplus.
Given demand function,
[tex]D(q) = \frac{3000}{(3q+1)^2}[/tex]
at q = 4
putting value of q in function,
[tex]q' = \frac{3000}{(3(4)+1)^2}[/tex]
[tex]q' = \frac{3000}{169}[/tex]
Finding Consumer Surplus
[tex]CS = \int\limits^q_0 {D(q) - q'} \, dq[/tex]
[tex]CS = \int\limits^4_0 {\frac{3000}{(3q+1)^2} - \frac{3000}{169} } \, dq[/tex]
[tex]CS = [-\frac{1000}{3q+1} - \frac{3000q}{169}]^4_0[/tex]
CS = [-(76.923)-(71.005)] - [-1000]
CS = -147.928+1000
CS = 852.072
Therefore, consumers' surplus is 852.072.
To know more about consumer surplus, go to link
https://brainly.com/question/13573671
#SPJ1
Complete Question
Find the consumers surplus if the demand function for a particular beverage is given by D(q)=(3000)/((3q+1)^(2)) and if the supply and demand are in equilibrium at q=4
Determine whether the following quadratic function has a maximum of a minimum value. Then find the maximum or minimum value and where it occurs.
F(x)=-3x²+18x+3
Select the correct choice below and fill in the answer boxes to complete of
(Simplify your answers.)
The function has a maximum value of ___at x=____.
The function has a minimum value of ___at x= ___.
The function has a maximum value of 30 at x = 3
How to determine if the quadratic function has a maximum or minimum?From the question, we have the following equation that can be used in our computation:
F(x) = -3x²+18x+3
This can be expressed properly as
F(x) = -3x² + 18x + 3
A quadratic function is represented as
F(x) = ax² + bx + 3
By comparison, we have
a = -3
For a quadratic function to have a maximum value, the value of a must be less than 0
This means that the function has a maximum value because -3 is less than 0
Solving further, we have
F(x) = -3x² + 18x + 3
Differentiate and set to 0
-6x + 18 = 0
So, we have
x = 3
Substitute x = 3 in F(x)
F(3) = -3(3)² + 18(3) + 3
Evaluate
F(3) = 30
This represents the maximum value
Read more about quadratic functions at
https://brainly.com/question/1214333
#SPJ1
(-2,-4), (4,0) Find the distance between each pair of points. Express answer in simplest radical form.
The distance between the points in radical form is [tex]\sqrt{52}[/tex]
What is distance formula ?
Formula for distances between pairs of points, an algebraic expression that expresses distances as a function of the coordinates of the points The Pythagorean theorem is the foundation for distance formulas for points in rectangular coordinates in two- and three-dimensional Euclidean space.
To calculate the distance we use distance formula
[tex]d = \sqrt{(x_{2} - x_{1} )^{2} + (y_{2} - y_{1} )^{2} }[/tex]
where [tex](x_{1},y_{1} )[/tex] and [tex](x_{2} , y_{2} )[/tex] are the 2 coordinates
[tex](x_{1},y_{1} )[/tex] = (-2,-4)
[tex](x_{2} , y_{2} )[/tex] = (4,0)
d = √(4 - (-2))² + (0 - (-4))²
d = √6² + 4²
d = √36 + 16
d = √52
√52 → radical form
To learn more about distance formula from the given link
https://brainly.com/question/661229
#SPJ1
Arthur is a ride-hailing driver. He spent $500 on bottled water during the year. He personally consumed $20 of the water he purchased, but the remaining $480 was consumed by riders. How much is Arthur's Schedule C (Form 1040) deduction for refreshments?
The amount of money to represent Arthur's Schedule C (Form 1040) deduction for refreshments is: C. $480.
What are the types of tax?In Economics, there are different types of tax which are levied on individuals (employees) or business firms by the government, and these include the following:
Sales taxProperty taxFederal income taxWhat is a Form 1040?A Form 1040 was formally referred to as U.S. Individual Income Tax Return or Schedule C and it can be defined as an internal revenue service (IRS) tax form which is used by taxpayers in the United States of America, to file their annual income tax return.
In this scenario, Arthur's deduction for refreshments should be recorded as $480 in the Schedule C (Form 1040).
Read more on Form 1040 here: https://brainly.com/question/29326887
#SPJ1
Complete Question:
Arthur is a ride-hailing driver. He spent $500 on bottled water during the year. He personally consumed $20 of the water he purchased, but the remaining $480 was consumed by riders. How much is Arthur's Schedule C (Form 1040) deduction for refreshments?
$0
$240
$480
$500
URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100 POINTS!!!!!
Answer: B
Step-by-step explanation:
B
Reason: supplimentry angles as the line is transervsal of line m and n .
Which means that 132°=2x
and using algebra you know that x=66°
Drag each label to the image that is related to the type of transformation.
Dilation Translation Rotation Reflection
Rotation is represented by a table fan, Dilation enlargement by flowers, reflection by ducks building a heart, and translation by a window picture.
Compared to translation, reflection, and rotation, what is a dilation?
Dilation:
A dilation is a transformation that yields a different-sized image with the same general shape as the original.An enlargement is a dilatation that enlarges an image.A reduction is a dilatation that results in a smaller image.A dilatation expands or contracts the initial figure.With the aid of the figure included with the response, it could also be seen.Translation:
The graph is translated when it is moved left or right, up or down.Additionally, it was evident from the figure that accompanied the response.Reflection:
One way to conceptualize a reflection is as an object folded or "flipped" over the line of reflection.The pre-image of the original item is referred to as such, and the image is the reflection.The solution includes the accompanying figure.Rotation:
Shapes can be rotated by being moved around a fixed point (clockwise or anticlockwise, and by a certain number of degrees). Although the shape will remain precisely the same, its location within the room will shift.Visit Brainly.com/question/11914738 to learn more about Dilation Translation Rotation Reflection.
#SPJ1
A bond is worth $100 and grows in value by 4 percent each year. Assuming this bond compounds quarterly, what is the value of the bond after 5 years?
Responses
$121.67
$122.02
$122.67
$120.00
Answer:it will be D
Step-by-step explanation: because $100 + 4%=$100.4
an open cone with base radius 28cm and perpendicular height 96cm was stretched to form sector of a circle. calculate the area
The area of the sector is 8800cm²
What is an area of the sector?
The area of the sector refers to the area encircled by a circle's sector. A sector always originates from the center of the circle.
What is curved surface area?
The area with just curved surfaces, leaving the circular top and base, is referred to as the curved surface area. Total Surface Area: This is the combined area of the bases and the curved surface.
Here, we have
Radius = 28cm, Height = 96cm
L² = 96² + 28²
= 9216 + 784
= 10000
L = √10000
= 100cm
curved surface area = πrl
= 22/7×28×100
= 8800cm²
area of cone = area of sector
area of sector = 8800cm2
Hence, the area of the sector is 8800cm²
To learn more about the area of the sector from the given link
https://brainly.com/question/22972014
#SPJ9
In a program designed to help patients stop smoking, 175 patients were given sustained care and 82.3% of them were no longer smoking after one month. Use a 0.05 significance level to test the claim that 80% of patients stop smoking when given sustained care.
We conclude that 80% of patients stop smoking when given sustained care.
Given,
The number of patients given sustained care = 175
Patients who were no longer smoking after one month = 82.3%
Significance level = 0.05
We have to claim that 80% of patients stop smoking when given sustained care.
Let p = percentage of patients stop smoking when given sustained care.
So, Null Hypothesis, H₀ : p = 80% {means that 80% of patients stop smoking when given sustained care}
Alternate Hypothesis, Hₐ : p 80% {means that different from 80% of patients stop smoking when given sustained care}
The test statistics that would be used here One-sample z test for proportions;
T.S. = [tex]\frac{p_{0} -p}{\sqrt{\frac{p(1-p)}{n} } }[/tex] ~ N(0,1)
where, p₀ = sample proportion of patients who stop smoking when given sustained care = 82.3%
n = sample of patients = 175
So, the test statistics = [tex]\frac{0.823-0.80}{\sqrt{\frac{0.823(1-0.823)}{175} } }[/tex]
= 0.80
The value of z test statistics is 0.80
Also, P-value of the test statistics is given by the following formula;
P-value = P(Z > 0.80) = 1 - P(Z > 0.80)
= 1 - 0.21185 = 0.78815
Now, at 0.05 significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test.
Since our test statistic lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.
Therefore, we conclude that 80% of patients stop smoking when given sustained care.
Learn more about p value here;
https://brainly.com/question/16313476
#SPJ1
PLEASE HELP!!!!!!!
In comparison to the parent function f(x)=square root x,
When does a graph move up? When does a graph move down?
Answer:
Parent function:
f(x) = √x
Add a number to the value of the function, such as k:
f(x) = (√x) + k
If k is positive, the function moves up. If k is negative, the function moves down.
Write a system of linear equations for the graph below.
System of linear equations for the graph below are y = -1/3(x) + 6 and
y = 4/3(x) + 1.
From the graph:
points for the line (0,1) and (3,5) .
points for the line (0,6) and (3,5)
slope m = y2 - y1 / x2 -x1
= 5 - 1 / 3 - 0
= 4/3
substitute (0,1) and m value in y = mx + c
1 = 4/3*0 + c
1 = 0 + c
c = 1
c and m value substitute
y = mx +c
y = 4/3(x) + 1
slope of (0,6) and (3,5) m = 5 - 6 / 3 - 0
= -1/3
substitute (0,6) and m value in y = mx + c
6 = -1/3*0 + c
6 = 0 + c
c = 6
c and m value substitute
y = mx + c
y = -1/3(x) + 6
Learn more about the linear equations here:
https://brainly.com/question/11897796
#SPJ1
George made 50% of the money Alex made at the lemonade stand. If George made $125.00, how much did Alex make?
(PLEASE HELP!)
Find the volume and surface area of a right circular cylinder with a diameter of 200 cm and a height of 100 cm
The volume of the right circular cylinder is 3141592.65 centimeter cube and the surface area is 125663.70 centimeter square
The diameter of the right circular cylinder = 200 cm
The radius = 200/2
= 100 cm
The height of the right circular cylinder = 100 cm
The volume of the right circular cylinder = π × [tex]r^2[/tex] × h
Where r is the radius
h is the height
Substitute the values in the equation
The volume = π × [tex]100^2[/tex] × 100
= 3141592.65 centimeter cube
The Surface area = 2πrh + 2π[tex]r^2[/tex]
Substitute the values in the equation
= 2×π×100×100 + 2×π×[tex]100^2[/tex]
= 62831.85 + 62831.85
= 125663.70 centimeter square
Hence, the volume of the right circular cylinder is 3141592.65 centimeter cube and the surface area is 125663.70 centimeter square
Learn more about right circular cylinder here
brainly.com/question/28448651
#SPJ1
select the correct y- intercept to write the equation of the line with slope-2/3 that passes through the point (-6,5).
Answer:
[tex]y=-\frac{2}{3}x+1.[/tex]
Step-by-step explanation:
1. common form of slope-interception form is:
y=(slope)*x-interception;
Then
[tex]2. \ y=-\frac{2}{3} x+interception;[/tex]
3. in order to calculate the 'interception' is it needed to substitute the given coordinates into this non-completed equation:
[tex]5=-\frac{2}{3} *(-6)+interception; \\interception=1;[/tex]
4. finally, the required equation is:
[tex]y=-\frac{2}{3} x+1.[/tex]
Multi-Step Problem You are choosing between two electricity providers. The Zap Electric Company charges $0.06 per kilowatt hour plus a $6.55 monthly service fee. The Bolt Electric Company charges $0. 12 per kilowatt hour plus a $2.83 monthly service fee. a. Let r represent the number of kilowatt hours you use in one month, and let y represent the total cost of your electric service. Write the two equations representing the cost of each company's service for one month.
The total cost for Bolt Electric Company and Zap Electric Company are y = 0.12r + 2.83 and y = 0.06r + 6.55 respectively
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let r represent the number of kilowatt hours you use in one month, and let y represent the total cost of your electric service.
The Bolt Electric Company charges $0. 12 per kilowatt hour plus a $2.83 monthly service fee. Hence:
y = 0.12r + 2.83
The Zap Electric Company charges $0.06 per kilowatt hour plus a $6.55 monthly service fee. Hence:
y = 0.06r + 6.55
The cost is y = 0.06r + 6.55 and y = 0.12r + 2.83
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
On a certain hot summer's day, 344 people used the public swimming pool. The daily prices are $1.50 for children and $2.25 for adults. The receipts for admission total$715.50.How many children and how many adults swam at the public pool that day?
Answer:
78 children
266 Adults
Step-by-step explanation:
Find the picture attached.
How do you find the endpoint of a confidence interval on a TI 84?
This is the way to find the endpoint if a confidence interval in the TI calculator:
First, select the T Interval. Press Stat, then select TESTS from the list.Step 2: Complete the required fields. The following details will be requested by the calculator:Step 3: Analyze the outcomes. The 95% confidence interval for the population mean will appear after you hit ENTER.What is the confidence interval?An estimate's level of uncertainty is described by a confidence interval, which is a range of numbers.
A confidence interval is used to calculate an estimate for an unknown population parameter. Specifically, to provide an interval so that any value of the parameter falling inside the range is a credible value, and values falling outside the interval are implausible
Read more on confidence interval here: https://brainly.com/question/15712887
#SPJ4
A patient is administered 310cm^3 of a saline and water solution that is labeled as 9% saline. Find the amount of each ingredient the patient will receive. Round to the nearest tenth of a cubic centimeter.
The amount of saline and water in the solution is given as 27.9 cm³ and 282.1 cm³ respectively.
Given,
A patient is administered 310cm^3 of a saline and water solution that is labeled as 9% saline.
What is saline solution?
Salt and water are combined to make saline. Because of its salt content (0.9% saline), which is comparable to that of tears, blood, and other bodily fluids, a normal saline solution is known as normal. Isotonic solution is another name for it.
Here,
Amount of saline = 0.09 × 310 = 27.9
Amount of water = 310 - 27.9 = 282.1
Thus, the amount of saline and water in the solution is given as 27.9 cm³ and 282.1 cm³ respectively.
Learn more about saline solution here;
https://brainly.com/question/29381359
#SPJ9
Use factoring to solve the polynomial equation:
x(x−2)=48
Answer (Type as x = n or x = m):
The solution of the polynomial equation x(x - 2) = 48 by factoring is x = 8 or x = -6
How to use factoring to solve the polynomial equation?Given the polynomial equation x(x−2) = 48
x(x−2) = 48
x² - 2x = 48
x² - 2x - 48 = 0
x² -8x+6x - 48 = 0
By factoring the equation, we have:
x(x-8) + 6(x-8) = 0
(x-8) (x+6) = 0
x-8 = 0 or x+6 = 0
x = 8 or x = -6
Therefore, the solution of the polynomial equation is x = 8 or x = -6. Type x = 8 or x = -6 in the answer box
Learn more about polynomial equation on:
https://brainly.com/question/1214333
#SPJ1
graph the inequality of -3x-4y<8
Find x and y. Give reasons to justify your solution.
The angles will be x = 8° and y = 21°
given information:
∠AOB = 180°
∠EOG = 90°
∠EOF and ∠FOG are complementary angles. Complementary angles are those whose sum is equal to 90° and it is given to us in the question.
∠EOG = ∠EOF + ∠FOG
90° = 27° + 3y
90 - 27 = 3y
63 / 3 = y
y = 21°
Similarly ∠AOE , ∠AOG and ∠GOB are supplementary to each other. Supplementary angles are those whose sum is equal to 180°
∠AOB = ∠AOE + ∠AOG + ∠GOB
180° = x + 90° + 8x + 18°
180 - 90 - 18 = 9x
9x = 72
x = 72 / 9
x = 8°
Hence we can clearly say that x = 8° and y = 21°
To know more about supplementary and complementary angles
https://brainly.com/question/3027144
#SPJ1
