Answer: A) max at (14, 6) = 64, min at (0,0) = 0
Step-by-step explanation:
Graph the lines at look for the points of intersection.
Input those points into the Constraint function (2x + 6y) and look for the maximum value and minimum value.
Points of Intersection: (0, 0), (17, 0), (0, 10), (14, 6)
Point Constraint 2x + 6y
(0, 0): 2(0) + 6(0) = 0 Minimum
(17, 0): 2(17) + 6(0) = 34
(0, 10): 2(0) + 6(10) = 60
(14, 6): 2(14) + 6(6) = 64 Maximum
what do you mean by conservation of natural resources
Answer:
Conservation of natural resources is the intelligent and wise use of natural resources in order to last longer.
The conservation of natural resources refers to the sustainable management of natural resources such as water, air, land, and forests. It means that these resources are used in a way that meets the needs of present and future generations. The conservation of natural resources requires the use of technology, policies, and practices that are environmentally sound and economically feasible.
Hope this helps :)
WILL GIVE BRAINLIEST! Match the equations that are the same
Answer:
1. 1/x = 8
Answer = 8x-1
2. 8x+1=3
Answer ; x=1/4
3. 7= 14/X
Answer ; x = 2
4.1/2x^2 = 2
Answer ;x=2
Step-by-step explanation:
[tex]\frac{1}{x} =8 \\8x = 1\\\\\\8x+1=3\\Collect -like- terms \\8x =3-1\\8x = 2\\Divide -both -sides- by ;8\\\frac{8x}{8} =\frac{2}{8} \\x = 1/4\\\\\\7= \frac{14}{x} \\Cross -multiply\\7x =14\\Divide-both-sides-by-7\\x = 2\\\\\\\frac{1}{2} x^{2} =2\\\frac{x^{2} }{2} =2\\Cross-multiply\\x^{2} =4\\Squre-root -both-sides\\\sqrt{x^2}=\sqrt{4} \\x = 2\\[/tex]
Answer:
1. 1/x=8 ⇒ 8x= 1
2. 8x+1= 3⇒ x=1/4
3. 7= 14/x ⇒ x =2
4. 1/2x^2= 2 ⇒ x=2 this is a repeat of one above
None is matching x=1/2
Please answer this correctly
Answer:
33
Step-by-step explanation:
The probability you will pick a green or a pink marble is:
3/4
Multiply 3/4 with 44.
3/4 × 44
= 33
In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 56.2 inches, and standard deviation of 3.3 inches.
A) What is the probability that a randomly chosen child has a height of less than 63.75 inches? Answer= ______________ (Round your answer to 3 decimal places.)
B) What is the probability that a randomly chosen child has a height of more than 60 inches? Answer= ______________ (Round your answer to 3 decimal places.)
Answer:
A) 0.989
B) 0.875
Step-by-step explanation:
Let the X denote height measurements of ten year old children.
Thus, X follows the Normal distribution with mean = 56.2 inches and standard deviation = 3.3 inches.
A) we have to find the probability that a randomly chosen child has a height of less than 63.75 inches.
That is;
P(X < 63.75)
using z score formula, we have;
Z = (X - μ)/σ
Where, μ is mean and σ is standard deviation.
Thus;
Z = (63.75 - 56.2)/3.3
Z = 2.288
From z distribution table, we have the value as approximately 0.989
B) Similarly, using z score formula, we have;
Z = (X - μ)/σ
Where, μ is mean and σ is standard deviation.
Thus;
we have to find the probability that a randomly chosen child has a height of more than 60 inches.
Z = (60 - 56.2)/3.3
Z = 1.1515
From z-tables, the value is approximately 0.875
In a random sample 765 adults in the United States, 322 say they could not cover a $400 unexpected expense without borrowing money or going into debt. (a) What population is under consideration in the data set
Answer:
The population under consideration in the data set are all the adults in the United States.
Step-by-step explanation:
Sampling
This is a common statistics practice, when we want to study something from a population, we find a sample of this population.
For example:
I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So i ask, lets say, 1000 randomly selected New York state residents wheter they are Buffalo Bills fans, and expand this to the entire population of New York State residents.
The population of interest are all the residents of New York State.
In this question:
Sample of 765 adults in the United states.
So the population under consideration in the data set are all the adults in the United States.
Find the critical value x2r corresponding to a sample size of 19 and a confidence level of 99% if the test is two-tailed
Answer:
For this problem we are assuming that the confidence level is 99% or 0.99, then the significance level would be [tex]\alpha=0.01[/tex] then the value of [tex]\alpha/2 =0.005[/tex] and the degrees of freddom are given by:
[tex] df =n-1 = 19-1=18[/tex]
Then the critical values for this case are:
[tex]\chi^2_{\alpha/2}=6.265[/tex]
[tex]\chi^2_{1-\alpha/2}=37.156 [/tex]
Step-by-step explanation:
For this problem we are assuming that the confidence level is 99% or 0.99, then the significance level would be [tex]\alpha=0.01[/tex] then the value of [tex]\alpha/2 =0.005[/tex] and the degrees of freddom are given by:
[tex] df =n-1 = 19-1=18[/tex]
Then the critical values for this case are:
[tex]\chi^2_{\alpha/2}=6.265[/tex]
[tex]\chi^2_{1- \alpha/2}=37.156 [/tex]
Using a calculator for the chi-square distribution, it is found that the critical values are [tex]\chi^2_r = 6.2648[/tex] and [tex]\chi^2_r = 37.1565[/tex].
For a chi-square critical value, three parameters are needed:
The number of degrees of freedom, which is one less than the sample size.The confidence level.Whether the test is one-tailed or two-tailed.In this problem:
Sample size of 19, hence 18 df.99% confidence level, and two-tailed.Hence, using a calculator, the critical values are [tex]\chi^2_r = 6.2648[/tex] and [tex]\chi^2_r = 37.1565[/tex].
A similar problem is given at https://brainly.com/question/13780944
Tublu buys a cylindrical water tank of height 1.4m and diameter 1.1m to catch rainwater off his roof. He has a full 2 litres tin of paint in his store and decides to paint the tank (not the base). If he uses 250 ml to cover 1 m2, will he have enough paint to cover the tank with one layer of paint? [take π=3.142] Tublu buys a cylindrical water tank of height 1.4m and diameter 1.1m to catch rainwater off his roof. He has a full 2 litres tin of paint in his store and decides to paint the tank (not the base). If he uses 250 ml to cover 1 m2, will he have enough paint to cover the tank with one layer of paint? [take π=3.142]
Answer:
Step-by-step explanation:
Height of the cylinder = 1.4 m
diameter of the cylinder = 1.1 m
Tublu has a full 2 litre tin of paint
Assume that the tank has an open top to allow the capturing of rainwater.
Also, Tublu does not need to paint the base of the tanks.
Tublu needs 250 ml to cover 1 m^2 of the tank body
Only the body of the tank is to be painted, so we find the perimeter of the tank body.
from basic circle mensuration, perimeter of the tank body = [tex]\pi d[/tex]
where d is the diameter of the tank
==> 3.142 x 1.1 = 3.456 m
If we imagine that this perimeter of the tank body is spread out, it will form a rectangle with a height of 1.4 m from the base.
The area of this rectangle that will be formed = (perimeter of the cylinder body) x ( height of the cylinder)
==> 3.456 x 1.4 = 4.838 m^2
this area is the area of the tank that needs to be painted.
Now we convert the 250 ml to litre, we'll have
250 ml = 250 x 10^-3 litres = 0.25 litres
Since 250 ml or rather 0.25 litres of paint is needed to cover 1 m^2 area of the tank's body, then, we will need
==> 4.838 x 0.25 = 1.21 litres of paint
Since Tublu has a full 2 litres tin of paint, and he needs 1.21 litres to cover the body of the tank, then we can say that Tublu has more than enough paint to cover the tank surface in one layer coating.
Grandpa and Grandma are treating their family to the movies. Matinee tickets cost $4 per child and $4 per adult. Evening tickets cost $6 per child and $8 per adult. They plan on spending no more than $80 on the matinee tickets and no more than $100 on the evening tickets. Let c represent the number of children they take to both shows and let a represent the number of adults they take to both shows. Write a system of inequalities to model this situation.
Answer:
Let the number of children taken to the movies = x
Let the number of adults taken to the movies = y
Lets talk about Matinee tickets first:
so 4$ per child/adult
4x + 4y [tex]\leq[/tex] 80 (since the budget is 80$, we can spend 80$ , hence the less- than or equal-to)
4(x+y)[tex]\leq[/tex] 80
x + y [tex]\leq[/tex] 40
So, for the matinee show, the sum of number of children and adults should be less than or equal to 40
Lets talk about the Evening show:
so 6$/child and 8$/adult
6x + 8y [tex]\leq[/tex] 100
2(3x + 4y) [tex]\leq[/tex] 100
3x + 4y [tex]\leq[/tex] 50
So, for the Evening show, the sum of 3 times the number of children and 4 times the number of adults should not exceed 50
!!!HELP WILL GIVE BRAINLIST!!!
Determine whether the following is a statistical question. How many acorns do squirrels typically eat in a day? Choose 1 answer: (Choice A) A Statistical (Choice B) B Not statistical
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▹ Answer
A. Statistical
▹ Step-by-Step Explanation
Since you are asking about how many acorns squirrels typically eat in a day, you are asking for how many acorns on average. Average can be shown in statistical graphs therefore, making the answer statistically.
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
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Answer:
Statistical! I
Step-by-step explanation:
I did this and i got it right!!!!!!!!!!
a survey of 46 college athletes found that 24 played volleyball, while 22 played basketball. if we pick 2 athletes at random without replacement, what is the probability we get one volleyball and one basketball player
Answer:
88/345 which is 0.2551
Step-by-step explanation:
Since we are picking 2 athletes randomly and without replacement.
Probability of 1 volleyball player = 24/46 = 12/23
Probability of basketball player (this is after 1 volleyball player has already been picked). We have 45 players left. = 22/45
probability of picking one volleyball player and one basketball player
p(volleyball player and basketball player)
(12/23) x (22/45)
= 88/345
Pls help me find the volume of this solid
Answer:
240cm³
Step-by-step explanation:
First, let's assume the entire shape is full rectangular prism without that has the middle being cut out.
What this means is that, to get the volume of the solid made out of clay, we would calculate the solid as a full rectangular prism, then find the volume of the assumed middle cut-out portion. Then find the difference between both.
Let's solve:
Find the volume of the rectangular prism assuming the solid is full:
Volume of prism = width (w) × height (h) × length (l)
w = 4cm
h = 7cm
l = 3+6+3 = 12cm
Volume of full solid = 4*7*12 = 336cm³
Next, find the volume of the assumed cut-out portion using same formula for volume of rectangular prism:
w = 4cm
h = 7-3 = 4cm
l = 6cm
Volume of assumed cut-out portion = 4*4*6 = 96cm³
Volume of solid made from clay = 336cm³ - 96cm³ = 240cm³
Stacy makes 1.5 L of yogurt. She wants to fill 125 mL cups with yogurt. Which calculation can be used to determine the number of cups Stacy can fill?
Answer:
12 cupsStep-by-step explanation:
Total amount of yogurts made by Stacy = 1.5 Litres
Volume of each cups to be filled with yogurts = 125mL = 125*10⁻³Litres
To get the number of cups Stacy can fill for her to exhaust 1.5Litres can be gotten using the relationship;
Number of cups = Total volume of yogurts made/Volume of each cup
Number of cups = 1.5/125*10⁻³
Number of cups = 1.5/0.125
Number of cups = 12 cups
Number of cups Stacy can fill is 12 cups
Which scatter plot could have a trend line whose equation is y = x + 15?
Answer:
I'm going to say it's the third one (bottom left) because it's the only one that has points scattered in the same vicinity as the graph when I plugged in that equation. The line showed was linear and had many points including (0,15), (1, 16), and (2, 17).
Leo weighs 10 pounds of dog food at the pet store The scale mistakenly lists the bag at 11.5 pounds. what is the percentage error?
Answer:
15%
Step-by-step explanation:
percentage error equals to
(error / actual length) x 100
error = 1.5
actual length = 10
answer equals 15%
A college writing seminar increased its size by 50\PP, percent from the first to the second day. If the total number of students in the seminar on the second day was 151515, how many students were in the class on the first day
Answer: There were 10 students in the class on the first day.
Step-by-step explanation:
Let x be the number of students of the first day.
Given: A college writing seminar increased its size by 50 percent from the first to the second day.
i.e. Number of students on second day = (Number of students on first day)+(50% of Number of students on first day)
= x +50% of x
= x+0.50x
= (1.50)x
=1.50x
Since, it is given that the total number of students in the seminar on the second day was 15.
i.e. [tex]1.50x=15[/tex]
[tex]\Rightarrow\ x=\dfrac{15}{1.5}\Rightarrow\ x=\dfrac{150}{15}\\\\\Rightarrow\ x=10[/tex]
Hence, there were 10 students in the class on the first day.
HELP!!! HELP!!! Complete the equation of the line whose y-intercept is (0,6) and slope is 3. y=_____
Answer:
The answer is y = 3x - 6
Step-by-step explanation:
Equation of a line is y = mx + c
Where
m is the slope
c is the y intercept
Equation of the line using point (0,6) and slope 3 is
y - 6 = 3(x - 0)
y - 6 = 3x
Hope this helps you
y = 3x - 6
Which of the following could be the equation of the graph shown below?
Check all that apply.
Answer:
B and C
Step-by-step explanation:
In order to know your x and y intercept, first rearrange your equation in the form ax+by=c
NB c should always be one so if you rearrange and c is not one, divide the whole equation by the no. represented by c, then to know your x and y intercepts look at the reciprocal of the coefficients of x and y
For example
B. -4x+2y= -6
divide the whole equation by -6 to get
2/3x-1/3y=1
hence the x intercept will be the reciprocal of the coefficient of x which is 3/2
y intercept will be the reciprocal of the coefficient of y which is -3
so if you look at the line, the equation applies
The same will apply to C
The solution is : B and C,
B. -4x+2y= -6 and, C. y = 3x - 2, could be the equation of the graph shown below.
What is a straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.
here, we have,
In order to know your x and y intercept, first rearrange your equation in the form ax+by=c
NB c should always be one so if you rearrange and c is not one, divide the whole equation by the no. represented by c, then to know your x and y intercepts look at the reciprocal of the coefficients of x and y
For example
B. -4x+2y= -6
divide the whole equation by -6 to get
2/3x-1/3y=1
hence the x intercept will be the reciprocal of the coefficient of x which is 3/2
y intercept will be the reciprocal of the coefficient of y which is -3
so if we look at the line, the equation applies
The same will apply to C. y = 3x - 2
This has positive slope and negative y-intercept, which are the characteristics of our graph.
Therefore this choice is correct.
Hence, B. -4x+2y= -6 and, C. y = 3x - 2, could be the equation of the graph shown below.
To learn more on Equation 0f Straight-Line click:
brainly.com/question/11116168
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Jennifer has carpet in her square bedroom. She decides to also purchase carpet for her living room which is rectangular in shape and 9 feet longer than her bedroom.
The area of the carpet required in the living room is given by the quadratic expression below, where x represents the side length, in feet, of the carpet in the bedroom.
X^2 + 9X
Match each part of the expression with what is represents.
Answer/Step-by-step explanation:
Let's highlight the dimensions of the bedroom and living room using the information given in the question:
==>Squared Bedroom dimensions:
Side length = w = x ft
Area = x*x = x²
==>Rectangular living room dimensions:
width = side length of the squared bedroom = x
length = (x + 9) ft
Area = L*W = x*(x+9) = x² + 9x
Now let's match each given expression with what they represent:
==>"the monomial, x, a factor of the expression x² + 9x" represents "the width of the carpet in the living room"
As we have shown in the dimensions of the squared bedroom above.
==>"the binomial, (x + 9), a factor of the expression x² + 9x" represents "the length of the carpet in the living room" as shown above in the dimensions for living room
==>"the second-degree term of the expression x² + 9x" represents "the area of the carpet in the bedroom"
i.e. the 2nd-degree term in the expression is x², which represents the area of the carpet of the given bedroom.
==>"the first-degree term of the expression x2 + 9x" represents "the increase in the area of carpet needed for the living room".
i.e. 1st-degree term in the expression is 9x. And it represents the increase in the area of the carpet for the living room. Area of bedroom is x². Area of carpet needed for living room increased by 9x. Thus, area of carpet needed for living room = x² + 9x
A magazine provided results from a poll of 1000 adults who were asked to identify their favorite pie. Among the 1000 respondents, 14 % chose chocolate pie, and the margin of error was given as plus or minus 3 percentage points. What values do ModifyingAbove p with caret , ModifyingAbove q with caret , n, E, and p represent? If the confidence level is 95 %, what is the value of alpha ?
Answer:
The value of α is 0.05.
Step-by-step explanation:
A poll of 1000 adults was conducted to determine their favorite pie.
The poll result states that among the 1000 respondents, 14 % chose chocolate pie, and the margin of error was given as plus or minus 3 percentage points.
[tex]\hat p=\text{Sample Proportion of adults who chose chocolate pie} = 0.14\\\hat q=\text{Sample Proportion of adults who did not chose chocolate pie}\\=1-\hat p\\=0.86\\n=\text{Sample size}=1000\\E=\text{Margin of Error}=0.03\\p=\text{Population Proportion of adults who chose chocolate pie}[/tex]
The confidence level is 95%.
Determine the value of significance level, α as follows:
[tex]\text{Confidence Level}=(1-\alpha)\%\\\\95\%=(1-\alpha)\%\\\\0.95=(1-\alpha)\\\\\alpha=1-0.95\\\\\alpha=0.05[/tex]
Thus, the value of α is 0.05.
In how many ways can you put seven marbles in different colors into two jars? Note that the jars may be empty.
ith 0 identical marbles permitted to be included in any of the jars, An expression can be developed to determine the total of marbles in jar arrangements, which is:
E = [(n+j -1)!]*{1/[(j-1)!]*[(n)!]}, where n = number of identical balls and j =number of distinct jars, the contents of all of which must sum to n for each marbles in j jars arrangement. With n = 7 and j = 4. E = 10!/(3!)(7!) = 120= number of ways 7 identical marbles can be distributed to 4 distinct jars such that up to 3 boxes may be empty and the maximum to any box is 7 balls.i think is the answer
Solve x+1/3 =x-2/4+1/3
Answer:
No solution.
Step-by-step explanation:
x+1/3 =x-2/4+1/3
Subtract x and 1/3 on both sides.
x-x=-2/4
0= - 1/2
There are no solutions.
what is the product of 25 and -6
Answer: -150
Step-by-step explanation: The result of a multiplication problem is called the product so we know that we will be multiplying here.
When multiplying integers, if the signs
are different, the product is negative.
So a positive times a negative always equals a negative.
Therefore, (+25) · (-6) is -150.
Answer: -150
Step-by-step explanation: took the unit test on edge
A survey showed that 76% of adults need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. If 8 adults are randomly selected, find the probability that at least 7 of them need correction for their eyesight. Is 7 a significantly high number of adults requiring eyesight correction?
Answer:
as probability of this is higher than 0.05 level this is not significantly high number .
Step-by-step explanation:
we have here a binomial distribution with the following data:
p = 0.76 and n = 8
therefore probability that a least 7 of the 8 adults require eyesight correction is P (X> = 7)
P (X> = 7) = P (X = 7) + P (X = 8) = nCr * (p) ^ (n) * (1-p) ^ (n-r)
= (8C7) * (0.76) ^ 8 * (0.24) ^ (8-7) + (8C8) * (0.76) ^ 8 * (0.24) ^ (8-8)
nCr = n! / (r! * (n-r)!
replacing:
(8C7) = 8! / (7! * (8-7)!) = 8
(8C8) = 8! / (8! * (8-8)!) = 1
P (X> = 7) = 8 * 0.0267 + 1 * 0.11130 = 0.325
as probability of this is higher than 0.05 level this is not significantly high number .
What is the area of the Tollowing right triangle?
13
5
Answer:
12
Step-by-step explanation:
The way to find the slope side of a traingle is
A^2+B^2=C^2 Next you substitute
5^2+B^2=13^2 Next simplify
25+B^2=169 Next use the subtraction property of equality
B^2=144 Next find the square root
B=12
Hope this helps :)
Answer:
height =12
Step-by-step explanation:
use Pythagorean theorem for right angle triangle:
a²+b²=c²
a²=c²-b²
a²=13²-5²
a²=144
a=√144-=12
How many six-digit numbers have all their digits of equal parity (all odd or all even)? PLS EXPLAIN
Answer:
28,125
Step-by-step explanation:
There are 10 digits between 0 and 9. 5 of them are odd, and 5 of them are even.
If a six-digit number has all odd digits, then there are 5 numbers that can be the first digit, 5 numbers that can be the second digit, 5 numbers that can be the third digit, and so on.
The number of permutations is 5×5×5×5×5×5 = 5⁶ = 15,625.
For all even digit numbers, the first digit can't be 0, so the number of permutations is 4×5×5×5×5×5 = 4×5⁵ = 12,500.
So the total permutations of six-digit numbers of equal parity is 15,625 + 12,500 = 28,125.
look at the figure shown below
Answer:
Answer is given below with explanations.
Step-by-step explanation:
Answer is option 1) 85 : 51
[tex]given \: that \: \\ triangle \: SPT \: is \: similar \: to \: triangle \: QPR \\ corresponding \: sides \: of \: similar \: \\ triangles \: are \: in \: proportion \\ then \: \\ \frac{SP}{ QP} = \frac{PT }{ PR} \\ \frac{3x}{3x + 24} = \frac{51}{85} \\ taking \: reciprocal \: on \: both \: sides \\ \frac{3x + 24}{3x} = \frac{85}{51} [/tex]
Option 1 is correct.
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
what expression represents the area of the triangle
Answer:
The first choice
Step-by-step explanation:
Area of a triangle is 1/2x base x height
the base is 10 and height is 24
26 is the hypotenuse but it is not used in calculating the area
Hope this helps :)
Answer:
1/2 times 10 times 24
Step-by-step explanation:
The hypotenuse is across the right angle so it can’t be included in the area of the triangle which is 26 and 10^2 + 24^2=26^2 by Pathagorean Theron
a father walks 36 miles in 12 hours. son covers the same distance on a bicycle. How many miles would the bicycle rider travel in 9 hours.
Answer:
27 miles
Step-by-step explanation:
36/12=3
they travel at 3 miles per hour
9(3)=27
27 miles in 9 hours
Find the square of (2a+b)
Answer:
4a^2+4ab+b^2
Step-by-step explanation:
To find the square we multiply the expression with itself
(2a+b)×(2a+b) = 4a^2+4ab+b^2
product 400 * 100,000
This is the value 40 million
================================================
Explanation:
You could use a calculator, or you could do it mentally. The second approach will have us note that 4*1 = 4, and then we tack on 7 zeros since we have two zeros in 400 and five zeros in 100,000 giving a total of 2+5 = 7
So that means 400*100,000 = 40,000,000 = 40 million
-------
You could also use scientific notation
400 = 4 x 10^2
100,000 = 1 x 10^5
400*100,000 = (4x10^2)*(1x10^5)
400*100,000 = (4*1) x (10^2*10^5)
400*100,000 = 4 x 10^(2+5)
400*100,000 = 4 x 10^7
400*100,000 = 40,000,000
The exponent of 7 means we move the decimal point 7 spots to the right to go from 4.0 to 40,000,000