Answer:
x = 3/2
Step-by-step explanation:
2x = 4-1
2x = 3
x = 3/2
hope it will be helpfull
In explaining why their country is an attractive place to invest, the Minister of Commerce from Turgistan has argued that the political problems have been exaggerated and that fewer people have been imprisoned for political reasons than you have been led to believe. However, Amnesty International reports that one third of the prisoners in Turgistan are political prisoners. A representative from your company visited a prison and sampled 500 prisoners in Turgistan, concluding that 90 of them are political prisoners. Test the hypothesis, at the 5% significance level, that one third of the prisoners in Turgistan are political prisoners.
Required:
a. Does this data support the Minister of Commerce or Amnesty International?
b. What other issues might be important when evaluating this data?
Answer:
a
This data does not support the Minister of Commerce or Amnesty
International
b
Another issue that is important when evaluating this data is the judicial system of the Turgistan
Step-by-step explanation:
From the question we are told that
The sample size is n = 500
The number of political prisoners is k = 90
The level of significance is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : p = \frac{1}{3} = 0.33[/tex]
The alternative hypothesis is [tex]H_a : p \ne 0.33[/tex]
Generally the sample proportion is mathematically represented as
[tex]\^ p = \frac{k}{n}[/tex]
=> [tex]\^ p = \frac{90}{500}[/tex]
=> [tex]\^ p = 0.18[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\^ p - p}{\sqrt{\frac{p (1- p)}{n} } }[/tex]
=> [tex]z = \frac{0.18 - 0.40}{\sqrt{\frac{0.33 (1- 0.33)}{500} } }[/tex]
=> [tex]z = -7.1429 [/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P( Z > -7.1429)[/tex]
From the normally distribution table
The probability of [tex]P( Z > -7.1429) = 0[/tex]
=> [tex]p-value = 2 * 0[/tex]
=> [tex]p-value = 0[/tex]
From the value obtained we see that the [tex]p-value < \alpha[/tex] hence the decision rule is
Reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that this data does support the Minister of Commerce or Amnesty International
jj
A sphere has a radius of 6 centimeters.
Find the surface area of the sphere.
PLS HELP I'LL GIVE A LOT OF POINTS
Answer:
A sphere with a radius of 6 cm will have a surface area of about 452.39
Step-by-step explanation:
Answer: 452.39 cm^2.
SA = 4πr^2 = 4π(6)^2 ≅ 452.39 cm^2.
∴ the surface area of the sphere is around 452.39 cm^2.
Dylan solved the following problem:
258
34
X
----------------------------
1032
+ 774
-------------------
Aubrey says that Dylan is incorrect. What was Dylan’s mistake? What could you do to fix it? Explain your thinking
Please help ASAP
is multiplication of 258 into 34 was incorrect the answer to 138 into 34 was 8772 so on adding 774 to 8772 it will be 9546
Question 2
Explain the difference between the graphs y = x3 and y = 3(x – 4)3 + 7.
Answer:
The first graph , y=x³ is a cubic function graph and that of the second graph, y = 3(x – 4)3 + 7 is a linear graph.
Step-by-step explanation:
The graph of y=x³ is a cubic function graph where the x term has the highest power of x as 3. As attached in the first graph.
The second graph for y = 3(x – 4)3 + 7. is a linear graph that can be written as;
y=(3x-12)3 +7
y=9x-36 + 7
y=9x - 29
which is a linear graph with a slope of 9 and cuts the y-axis at -29 as shown in the second attached graph.
divide 72 in ratio 3:4:5
The number who needs to be separated into a ratio = 72
Total number of parts = 3 + 4 + 5
= 12 parts
Each part = 72 ÷ 12
= 6
Then 3 parts = 3 × 6 = 18
4 parts = 4 × 6 = 24
5 parts = 5 × 6 = 30
Then , the ratio will be , 18 : 24 : 30
Therefore , 72 in the ratio 3:4:5 will be = 18 : 24 : 30 .
Find the length of MN.
A) 7
B) 25
C) 32
D) 39
Step-by-step explanation:
Answer C)
Explanation:
MN + NP = MP
MP = 39
Therefore, 4(x + 5) + 2x + 1= MP
So, 4(x + 5) + 2x + 1= 39
(4x + 20) + 2x +1 = 39
So, (4x + 2x) + (20 + 1) = 39
6x + 21 = 39
Addition changes to Subtraction
So, 6x = 39 - 21
6x = 18
Multiplication changes to Division
x= 18/6
x=3
Therefore MN = 4(x + 5)
So, 4(3 + 5) = 4(8)
4(8) = 32
Therefore, MN = 32
Hope this helps!
Answer:
32
Step-by-step explanation:
usatestprep answer
Based only on the information given in the diagram, which congruence theorems or postulates could be given as reason why JKL and MNO?
Answer: I hope this helps
You can use LL, HL and SAS theorems to prove that triangles are congruent.
The right triangle leg leg congruence Theorem (LL) is a theorem for right triangles that says if the two corresponding shorter legs of two right triangles are congruent, then the two triangles are congruent.
The hypotenuse leg Theorem (HL) states that any two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.
The side angle side Postulate (SAS) states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.
Answer: correct choices are B, C and E
b.LL
c. HL
e.SAS
Answer:
LL, SAS and, HL
Step-by-step explanation:
(25+,-,* 4) +,-,*3 +,-,*7=9
y2 - 3y + 7 for y= -2
please help me
Answer:9
Step-by-step explanation: -2x2-3x-2+7=9
Answer:
9
Step-by-step explanation:
(-2x2) - (3x-2) + 7 = 9
Write the equation of the line parallel to the given line and through the given
point. y=2x - 8 through (3.10)
Answer:
y-2x -8
Step-by-step explanation:
your jus gonna right it back because it's parallel which means it's the same thing.
Determine function of the following graph
∠A and ∠B are supplementary. m∠A = (6x + 12) , m∠B = (x + 28). Find the measure of each angle.
What value of x is in the solution set of 8x -6 > 12 + 2x?
-1
0
3
5
Answer:
x:5
Step-by-step explanation:
The value of 'x' in the solution set is 5 Option D
How to determine the value of xFrom the equation
8x -6 > 12 + 2x
Collect like terms
8x - 2x > 12 + 6
6 x > 18
Make 'x' subject of formula
x > 18/6
x > 3
If x is greater than 3, then x is 5
Therefore, the value of 'x' in the solution set is 5. Option D
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Can u please helppppppp !!!!!!!!!
Answer:
yes i can help you
Step-by-step explanation:
Answer:
The height is the water wheel diameter so if you have 9' of head but are only running a 6 foot diameter wheel the height for this calculation is 6 feet. Most people use 12v batteries to store their electricity and an inverter
Step-by-step explanation:
Sorry if I cant help but that's number 2 answer.
there is a box that contains a $50 bill, two $20 bills, three $10 bills and four $1 bills. If a bill is picked at random, what is the expected value?
One of the ten bills
Can someone please help me on this
Ethan bought 4 packages of pencils. After he gave 8 pencils to his friends, he had 40 pencils
left over. How many pencils were in each package? Use the drop-down menus to solve the
problem arithmetically and algebraically.
He had 40 pencils left after he gave away 8, so originally he had 40 + 8 pencils, which is 48.
Now, he bought 4 packages, which had a total of 48 pencils, so divide 48 by 4, which is 12. He had 12 pencils in each package.
To determine the solution arithmetically, first add 8 to 40, then divide 48 by 4.
To determine the solution algebraically, set up and solve the equation 40 = 4x - 8.
Each package contained 12 pencils.
Hope this helps
What is the y intercept of the line in the graph shown?
The equation of the line is y=__x__
!! QUICK WILL MARK BRAINLIEST !!
Mr. Clopu buys an 18-month CD that pays 434% simple interest for $5,000. Find the value of the CD at the end of its term.
Answer:
FV= $5,325.8
Step-by-step explanation:
Giving the following information:
Mr. Clopu buys an 18-month CD that pays 4.34% simple interest for $5,000.
To calculate the future value, we need to use the following formula:
FV= (P*r*t) + P
P= $5,000
r= 0.0434/12= 0.00362
t= 18
FV= [(5,000*0.00362)*18] + 5,000
FV= $5,325.8
The value of the CD at the end of its term is $39,060
Given:
Time = 18 month
Principal = $5000
Interest rate = 434%
Future value = ?
Future value = Principal × Rate × Time
= 5,000 × 434% × 18
= 5000 × 434/100 × 18
= 5000 × 4.34 × 18
= 39,060
Therefore, the value of the CD at the end of its term is $39,060
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Choose all sets that contain the number - 2.22.
Natural numbers
whole numbers
integers
Rational numbers
irrational numbers
Real numbers
Answer:
D, F
Step-by-step explanation:
rational numbers
real numbers
All of the following represent the same function except
All of the aforementioned represent the same function except: C. {(0, 1), (2, 3), (4, 5), (7, 8)}.
What is a function?A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables.
The types of function.In Mathematics, there are different types of function and these include the following;
Modulus functionSignum functionPeriodic functionInverse functionPiece-wise defined function.Logarithm functionFrom the first mapping, we can logically deduce the following:
when x = 1, y = 0
y = x - 1
0 = 1 - 1
when x = 3, y = 2
y = x - 1
2 = 3 - 1
when x = 5, y = 4
y = x - 1
4 = 5 - 1
when x = 8, y = 7
y = x - 1
7 = 8 - 1
For the ordered pair, we have:
when x = 0, y = 1
y = x + 1
1 = 0 + 1
when x = 2, y = 3
y = x + 1
3 = 2 + 1
when x = 4, y = 5
y = x + 1
5 = 4 + 1
Therefore, the function for these ordered pairs is equal to y = x + 1.
For the table of value, we have:
when x = 1, y = 0
y = x - 1
0 = 1 - 1
In this context, we can reasonably infer and logically deduce that all of the aforementioned represent the same function except {(0, 1), (2, 3), (4, 5), (7, 8)}.
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In developing their warranty policy, an automobile company estimates that over a 1-year period 17% of their new cars will need to be repaired once, 7% will need repairs twice, and 4% will require three or more repairs. If you bought two cars from this company, what is the probability that neither will need repair over a 1-year period
Answer:
Step-by-step explanation:
OVER A 1-YEAR PERIOD, it is estimated that
17 + 7 + 4 = 28% of new cars will need repairs (ranging from one repair to infinity number of repairs)
This means that the remaining percentage of new cars will NOT need any repairs over the 1-year period.
This percentage is 100 - 28 = 72%
The question is reframed thus: If you bought 2 cars from this company, what is the probability that none of them will need repair over the 1-year period?
What is the probability that none of the 2 cars falls within the 28% of cars which will need repair in the 1-year period?
72% = 72/100 = 0.72
this is the probability that a single car will not need repairs
the probability that 2 cars from this company will not need repair over a year is 0.72 ÷ 2 = 0.36
208+8x−718+2x SIMPLIFY PLEASE
Answer:10x-510
Step-by-step explanation:
math
Convert the measurement:
3 inches to centimeters
O 7.00 cm
0 2.78 cm
O 8.21 cm
O 7.62 cm
Step-by-step explanation:
ans is 7.62
1 inch =2.54cm
2.54 multiplied by 3=7.62
Ms. Sanches and Mr. Brown went to Chuckie Cheese’s. Ms. Sanches had 567 tokens, and Mr. Brown had 432 tokens. Rounded to the nearest hundred, how many more tokens did Ms. Sanches have than Mr. Brown?
Answer:
Rounded to the nearest hundred, Ms. Sanshes had about 200 more tokens than Mr. Brown
Step-by-step explanation:
567=600 (rounded)
432=400 (rounded)
600-400=200 tokens
88.403 887.304 887.043
Greatest to least
Answer:
887.304, 887.043, 88.403
Greatest to least
During a chemistry experiment, the volume of a solution increases when distilled water is added to the solution at a constant rate of 100 mL/min. Initially, there are 50 mL of solution, and water is added for 5 min.
Answer:
yes and there a r godd film?
Step-by-step explanation:
3
Describe and correct the error a student made when graphing the linear equation y = -3/4x -6
Answer:
In step 1 the y-intercept should be plotted at (0,-6)
Step-by-step explanation:
Remember that to find the Y intercept in any linear equation you need to use 0 as your X value, this means taking the formula in the y=mx+b form and replacing X with a 0.
Since the formula is y = -3/4x -6
We just insert a 0 insted of the "x"
y = -3/4(0) -6
y=0-6
y=6
So the y-intercept sould be placed in (0,-6)
That's what he did wrong when graphing the equation.
Answer:
Remember that to find the Y intercept in any linear equation you need to use 0 as your X value, this means taking the formula in the y=mx+b form and replacing X with a 0.
Step-by-step explanation:
Remember that to find the Y intercept in any linear equation you need to use 0 as your X value, this means taking the formula in the y=mx+b form and replacing X with a 0.
Since the formula is y = -3/4x -6
We just insert a 0 insted of the "x"
y = -3/4(0) -6
y=0-6
y=6
So the y-intercept sould be placed in (0,-6)
That's what he did wrong when graphing the equation.
Write all prime numbers between 10 and 20
Answer:
11,13,17,19
Step-by-step explanation:
Answer:
11 , 13 , 17 and 19
Step-by-step explanation:
good luck :)
Find the cost price. selling price 6097 loss percent=9%
Answer:
6645.73
Step-by-step explanation: 6097 multiplied by .09= 548.73, then you add that to 6097 wich gives you a total of 6645.73