Answer:
The answer is:
[tex]H_0: p=0.83\\\\H_a: p \neq 0.83[/tex]
Step-by-step explanation:
Now, we're going to test if sociologists claim to be have visited a region of 0.83 by a person picked randomly on Time In New York City.
Therefore, null or other hypotheses are:
[tex]H_0: p=0.83\\\\H_a: p \neq 0.83[/tex]
The factorization of (x+y)^2+2(x+y)+1 is
please answer
Answer:
[tex](x + y+ 1)^2[/tex]
Step-by-step explanation:
[tex]Using : (a + b)^2 = a^2 + 2ab + b^2\\\\(x+ y)^2 + 2(x +y) + 1 , \ where \ a = (x+y) , \ b = 1 \\\\= (x +y)^2 + ( 2 \times 1 \times (x+y)) + 1^2\\\\= (x +y+ 1)^2[/tex]
Step-by-step explanation:
Using:(a+b) ² =a²+2ab+b²
Hope it is helpful to you
The foot of a ladder is placed 9 feet away from a wall. If the top of the ladder rests 13 feet up on the wall, find the length of the ladder.
4 feet
15.81 feet
8.81 feet
13 feet
Answer:
15.81 ft .
Step-by-step explanation:
This question is based on " Pythagoras Theorem " . If we imagine the given situation as a right angled triangle , then the base will be " 9ft " , and the perpendicular will be " 13 ft" . And the length of the ladder will be equal to hypontenuse of the triangle.
Using Pythagoras Theorem :-
[tex]\implies\rm h^2= p^2+b^2 \\\\\implies\rm h^2 = (9ft)^2+(13ft)^2 \\\\\implies\rm h^2 = 81 ft^2 + 169 ft^2 \\\\\implies\rm h^2 = 250ft^2 \\\\\implies \boxed{ \rm Ladder's \ Length = 15.81 \ ft }[/tex]
Hence the length of the ladder is 15.81 ft.
In your biology class, your final grade is based on several things: a lab score, scores on two major tests, and your score on the final exam. There are 100 points available for each score. However, the lab score is worth 21% of your total grade, each major test is worth 25%, and the final exam is worth 29%. Compute the weighted average for the following scores: 60 on the lab, 81 on the first major test, 69 on the second major test, and 79 on the final exam. Enter your answer as a whole number.
Answer:
[tex]Weighted\ Average = 73[/tex]
Step-by-step explanation:
Given
[tex]Lab = 21\%[/tex]
[tex]Tests = 25\%[/tex]
[tex]Exam = 29\%[/tex]
[tex]Lab\ Score = 60[/tex]
[tex]First\ Test = 81[/tex]
[tex]Second\ Test = 69[/tex]
[tex]Exam = 79[/tex]
Required
The weighted average
To do this, we simply multiply each score by the corresponding worth.
i.e.
[tex]Weighted\ Average = Lab\ worth * Lab\ score + Tests\ worth * Tests\ score.....[/tex]
So, we have:
[tex]Weighted\ Average = 21\% * 60 + 25\% * 81 + 25\% * 69 + 29\% * 79[/tex]
Using a calculator, we have:
[tex]Weighted\ Average = 73.01[/tex]
[tex]Weighted\ Average = 73[/tex] --- approximated
HELP PLS ASAP!
The function f(x) = 7x + 1 is transformed to function g through a horizontal compression by a factor of 3. What is the equation of function &
Substitute a numerical value for k into the function equation.
Step-by-step explanation:
The horizontal stretch or compression for a function f(x) is given by g = f(bx) where b is a constant. If b> 0 then the graph of a function is compressed.
As it is given in the question that the function is transformed by a compression factor of 3.
Given function
The value of k will be 3 if the function is transformed by a compression factor of 3
PLESE HELP WITH ANSWER. rewrite the function in the given form
s hard and too long I'm only of class 13
Sarah walks into a grocery store with no more than 20 dollars to spend and needs to buy at least 3.5 pounds of flour and at least 2 pounds of sugar. Flour is 2 dollars per pound and sugar is 1.5 dollars per pound. Let x the amount of flour purchased and y be the amount of sugar purchased? Which of the following systems of inequalities represents this situation?
Answer:
x ≥ 3.5
y ≥ 2
2x + 1.5y ≤ 20
Step-by-step explanation:
Given :
Total Amount to spend ≤ $20
Let:
Amount of flour purchased = x
Amount of sugar purchased = y
Cost :
Flour = $2 per pound
Sugar = $1.5 per pound
Pounds of :
flour to be purchased ≥ 3.5
Sugar to be purchased ≥ 2
Hence, the system of inequalities :
x ≥ 3.5
y ≥ 2
Total Cost of x + total cost of y must be less than or equal to total amount
2x + 1.5y ≤ 20
Answer: x ≥ 3.5
y ≥ 2
2x + 1.5y ≤ 20
Step-by-step explanation: To write a system of inequalities, it is important to determine the restrictions. One restriction is that Sarah wants to buy at least 3.5 pounds of flour. "At least" means that 3.5 is the smallest amount she would buy and 3.5 can be included. This is expressed as x ≥ 3.5. She also wants at least 2 pounds of sugar, so similar to the flour, this can be written as y ≥ 2. Finally, the cost can be expressed as 2x + 1.5y. This is a restriction because Sarah can spend up to $20, so 2x + 1.5y is less than or equal to $20, or 2x + 1.5y ≤ 20.
By converting to an exponential expression, solve log2 (x + 5) = 4
Step-by-step explanation:
just insert a base of two at on both sides and solve.
The solution of the logarithmic equation ㏒ (x + 5) / ㏒ 2 = 4 will be 11.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The logarithmic equation is given below.
㏒₂(x + 5) = 4
Simplify the equation, then we have
㏒ (x + 5) / ㏒ 2 = 4
㏒ (x + 5) = 4 × ㏒ 2
㏒ (x + 5) = ㏒ 2⁴
Take antilog on both sides, then we have
(x + 5) = 2⁴
(x + 5) = 16
x = 11
The solution of the logarithmic equation ㏒ (x + 5) / ㏒ 2 = 4 will be 11.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
PLEASE HELP ME! I am so confused
Answer:
x = 5.5
Step-by-step explanation:
Based on the Mid-segment theorem of a triangle, we would have the following:
EF = 2(AB)
AB = 7
EF = 2x + 3
Plug in the values
2x + 3 = 2(7)
Solve for x
2x + 3 = 14
Subtract 3 from each side
2x + 3 - 3 = 14 - 3
2x = 11
2x/2 = 11/2
x = 5.5
are sheep?ои b. At Molebogeng station, a train arrives every 50 minutes the first in domenat z. 122cio Ise minutes. The first train stops at 7:00 a.m. How many trains have stopped at the station just nun before 11:00 p.m.?
Answer:
19 trains
Step-by-step explanation:
Firstly, we need to calculate the difference in the number of hours
From the question, we have 7 am to 11 pm
7 am to 7 pm is 12 hours
7 pm to 11 pm is 4 hours
So total is 16 hours
16 hours to minutes is multiplied by 60 minutes
We have this as;
16 * 60 = 960 minutes
so to get the number of trains, we simply have to divide the number of minutes by 50
Mathematically, we have this as 960/50
= 19.2
Since we cannot have a fractional train stop, it means the number of trains that has stopped is 19
How much fabric is needed to make a tent in the shape of a triangular prism with the following measures?
Answer:
The fabric needs 196.4 ft²
Step-by-step explanation:
∵ The tent formed formed from 4 faces
two equilateral triangles with side length 7 ft
two rectangles with dimensions 11 ft and 7 ft
∵ Area equilateral Δ = 1/4 S²√3
∵ Area rectangle = L × W
∴ The area of the prism = 2 × 1/4 × (7)²√3 + 2 × 7 × 11
= 196.4 ft²
Note:
If you find the area of the triangle by the rule 1/2 × base × height
∴ Area Δ = 1/2 × (7) × 6 = 21 ft²
∴ Area tent = 2 × 21 + 2 × 77 = 196 ft²
Two answer very closed
Answer:
273 ft^2 (apparently you have to cover the ground)
Step-by-step explanation:
evaluate expression when a=5 b= -3
6a-b
Solve using the quadratic equation 3x^2+x-5=0
Answer:
comparing with ax²+bx+c=0
a=3, b=1 , c= -5
Solve using the formula now ,,
A line has a slope of -2/3 and passes through the point (-3, 8). What is the equation of the line?
y= -2/3x + 6
y= -2/3x + 8
y= 6x- 2/3
y= 8x- 2/3
Answer:
y= -2/3x+6
Step-by-step explanation:
Using slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = -2/3x +b
Substitute the point into the equation
8 = -2/3(-3) +b
8 = 2+b
8-2 =b
6=b
y= -2/3x+6
There is enough grass to feed six cows for three days. How long would the same amount of grass feed nine cows
Answer:
2 days
Step-by-step explanation:
Lets say that in one day, one cow eats 1 block of grass. So, six cows in three days would eat 18 blocks of grass in total. So 18 blocks of grass is how much we have. that means nine cows would eat that much in 2 days.
Match each equation with its graph.
stuck on this problem
Answer:
B
Step-by-step explanation:
When we reflect something across the y axis, the y axis stays the same but the x values change by a factor of -1.
B is the Answer
Answer:
c. switch the x-values and y-values in the table
Step-by-step explanation:
For any table or graph reflection over the line y=x
The rule is (x,y) ----> (y,x)
f(x) is reflected over the line y=x, so the coordinates of f(x) becomes
(-2,-31) becomes (-31,-2)
(-1,0) becomes (0,-1)
(1,2) becomes (2,1)
(2,33) becomes (33,2)
As per the rule, we switch the x-values and y-values in the table
For reflection over the line y=x , the coordinate becomes
(-31,-2)
(0,-1)
(2,1)
(33,2)
Determine which of the following equations are linear equations in x
Help!!! ASAP Please and thank you!
Answer:
1. 6 (2a-3b)
6×2a - 3b
=12a-18b
2. a(2ab+3)
a×2ab+3
=2a²b + 3a
3. (x-4)(3x)
=3x² - 12x
just kembangkan... answer my question plss..help me.
a & gb & e(2)=6(2a-3b)= 12a-18b=a(2ab+3)=2a^b+3a= (x-4) (3x)= 3x^-12x
Industrial Designs has been awarded a contract to design a label for a new wine produced by Lake View Winery. The company estimates that 150 hours will be required to complete the project. The firm’s three graphic designers available for assignment to this project are Lisa, a senior designer and team leader; David, a senior designer; and Sarah, a junior designer. Because Lisa has worked on several projects for Lake View Winery, management specified that Lisa must be assigned at least 40% of the total number of hours assigned to the two senior designers. To provide label designing experience for Sarah, the junior designer must be assigned at least 15% of the total project time. However, the number of hours assigned to Sarah must not exceed 25% of the total number of hours assigned to the two senior designers. Due to other project commitments, Lisa has a maximum of 50 hours available to work on this project. Hourly wage rates are $30 for Lisa, $15 for David, and $18 for Sarah.Formulate a linear program that can be used to determine the number of hours each graphic designer should be assigned to the project to minimize total cost (in dollars). (Assume L is the number of hours Lisa is assigned to the project, D is the number of hours David is assigned to the project, and S is the number of hours Sarah is assigned to the project.)
Answer:
a) Minimize Z =30 X1 +25 X2+18 X3
subject to following constraints
[tex]1.X1\geq 0.4\left ( X1+X2 \right )\\2.X3\geq 0.15\left ( X1+X2+X3 \right )\\3.X1+X2+X3\leq 150\\4.X3\geq 0.25\left ( X1+X2 \right )\\5.X1\leq 50\\6.X1,X2,X3\geq 0[/tex]
b) Total cost=[tex]30 \times 48+15\times72+18\times30[/tex] = $3180.
c) As the dual price for constraint five is zero hence additional work hours for Lisa won't change the optimum solution.
Step-by-step explanation:
Step 1:-
a)
Let's take
X1 to be the number of hours assigned to Lisa
X2 to be the number of hours assigned to David
X3 to be the number of hours assigned to Sarah.
The objective function is to attenuate the entire cost of the project by deciding an optimum number of hours for every person. the target function is given by -
Minimize Z =30 X1 +25 X2+18 X3
subject to following constraints
[tex]1.X1\geq 0.4\left ( X1+X2 \right )\\2.X3\geq 0.15\left ( X1+X2+X3 \right )\\3.X1+X2+X3\leq 150\\4.X3\geq 0.25\left ( X1+X2 \right )\\5.X1\leq 50\\6.X1,X2,X3\geq 0[/tex]
Constraints and explanation:
1. Lisa must be assigned a minimum of 40% of the entire number of hours assigned to the 2 senior designers.
2. Sarah must be assigned a minimum of 15% of the entire project time.
3. The corporate estimates that 150 hours are going to be required to finish the project.
4. The number of hours assigned to Sarah must not exceed 25% of the entire number of hours assigned to the 2 senior designers.
5. Lisa features a maximum of fifty hours available to figure on this project.
6. Non-negative condition.
Step 2:-
b)
From the above equations, we get
The number of hours assigned to Lisa is 48 hours
The number of hours assigned to David 72 hours
The number of hours assigned to Sarah 30 hours.
Total cost=[tex]30 \times 48+15\times72+18\times30[/tex] = $3180.
Step 3:-
c)
As the dual price for constraint five is zero hence additional work hours for Lisa won't change the optimum solution.
Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.2 significance level.
Answer:
Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.2 significance level.
The null and alternative hypothesis would be: H 0 : μ M = μ F H 1 : μ M < μ F H 0 : μ M = μ F H 1 : μ M > μ F H 0 : p M = p F H 1 : p M ≠ p F H 0 : p M = p F H 1 : p M < p F H 0 : p M = p F H 1 : p M > p F H 0 : μ M = μ F H 1 : μ M ≠ μ F
The test is:
right-tailed
left-tailed
two-tailed
Based on a sample of 40 men, 25%Based on a sample of 40 men, 25% owned cats
Based on a sample of 40 women, 40% owned cats
The test statistic is:
The p-value is:
Based on this we:
Reject the null hypothesis
Fail to reject the null hypothesis
find the amount on 800 for one year at 10%
Answer:
80
Step-by-step explanation:
You mean the "interest on"
I=800×.1×1=80
Use the Central Limit Theorem to find the mean and standard error of the mean of the indicated samplingg distribution.
The amounts of time employees of a telecommunications company have worked for the company are normally distributed with a mean of 5.5 years and a standard deviation of 2.1 years. Random samples of size 17 are drawn from the population and the mean of each sample is determined.
a. 1.33 years, 2.1 years
b. 5.5 years, 0.12 years
c. 5.5 years, 0.51 years
d. 1.33 years, 0.51 years
Answer:
c. 5.5 years, 0.51 years
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Mean of 5.5 years and a standard deviation of 2.1 years.
This means that, for the population, [tex]\mu = 5.5, \sigma = 2.1[/tex]
Random samples of size 17.
This means that [tex]n = 17[/tex]
Use the Central Limit Theorem to find the mean and standard error of the mean of the indicated sampling distribution.
The mean is the same as the mean for the population, that is, 5.5 years.
The standard deviation is:
[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{2.1}{\sqrt{17}} = 0.51[/tex]
This means that the correct answer is given by option c.
A plumber charges $50 for the first visit plus $8 per hour of work. If the total bill is $290, how many hours did the plumber work?
30 hours
40 hours
80 hours
None of these choices are correct.
Answer:
Step-by-step explanation:
50 + 8x = 290
8x = 240
x = 30 hours
Add. Please show work too.
Answer:
-36m^3-21n^3+85mn^2+36m^2n
Step-by-step explanation:
That's what the calculator says:).
What do you add to 2 7/8 to make 5
Answer:
2 1/8
Step-by-step explanation:
7/8 is the same as 0.875 and therefore you need 0.125 also known as 1/8 to make it a whole number. When you add it to the already existing whole 2 you get three. Subtract three from five to make two which is what you need to add on top to finally get 5.
Carin opened a money market account with a deposit of $3,000. This account earns 2% simple interest annually. How many years will it take for her $3,000 deposit to earn $420 in interest, assuming she does not withdraw any of the money?
Answer: 7 years
2% = 0.02
3000·0.02=60.00
1 year simple interest = $60.00
420/60=7
7 years
HELP PLEASE QUICK
use the graphs of f and g to describe the transformation from the graph of f to the graph of g.
f(x)=2x+3
g(x)=f(x)-2
Answer:
2x - 1
Step-by-step explanation:
that is the procedure above
What is the value of 3 minus (negative 2)?
A number line going from negative 5 to positive 5.
Answer:
5
Step-by-step explanation:
3-(-2) will become positive 5. so number line will go towards positive 5.
Someone please help thanks
Answer:
By similar triangles: BE/20 = 18/25 BE 14.4
Also, (ED + 26) / 26 = 18/14.4
ED = 6.5 and AD = 32.5
Which among the following numbers could be the probability of an event? 1,1.4,-0.54,.32,.02,0
In other words, choices B and C are the non-answers while everything else is an answer.
==============================================================
Explanation:
Let p represent the probability of an event. The value of p must be between 0 and 1, inclusive of both endpoints. Symbolically, we can write [tex]0 \le p \le 1[/tex]
In other words, p = 0 is the smallest it can get and p = 1 is the largest it can get, or it could be anything in between.
The probability p = 0 means that the event will never happen, or there's 0% of it happening. The probability p = 1 means there's 100% certainty the event will happen.
Something like p = 1.4 is not possible as this indicates it's over 100%. So that rules out choice B. Choice C is also ruled out because we can't have negative probabilities.