Answer:
The score is 3 standard deviations from the mean
Step-by-step explanation:
To find this, we simply calculate the z-score
Mathematically;
z-score = (x-mean)/SD
In this question , x = 80
mean = 65
SD = 5
Thus;
z-score = (80-65)/5 = 15/5 = 3
Determine function of the following graph
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
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
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
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
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
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:
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.
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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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 .
Suppose that the probability that a person books a hotel using an online travel website is 0.68. For the question that follows, consider a sample of fifteen randomly selected people who recently booked a hotel.
What is the probability that at least fourteen out of fifteen people used an online travel website when they booked their hotel? Round to three decimal places.
A.0.028
B.0.025
C.0.323
D.0.978
Answer:
the answer is d because 0.978 cool number like yaaaa.
Step-by-step explanation:
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
find two possible factors for the estimated product 5,600
Answer:
If you want to find the other factor you would divide 5,600. One factor is 80 so the other factor should be 70 but if you put a dot you would get 0.07.
Step-by-step explanation:
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 :)
What is the y intercept of the line in the graph shown?
The equation of the line is y=__x__
!! QUICK WILL MARK BRAINLIEST !!
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.
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:
a cruise ship sailed for 9 hours at a speed of 18 miles per hour how far did a cruise ship sell
Answer:
162 miles
Step-by-step explanation:
Step 1:
9 : 18 Rate
Step 2:
9 × 18 Equation
Answer:
162 miles Multiply
Hope This Helps :)
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
the mass of earth is approximately 5.9×10^24 kg,and the mass of venus is approximately 4.9×10^24 kg. a. find the combined mass b. given that mass of the sun is approximately 1.9 × 10^30 kg how many venues and earths would it take to equal the mass of the sun.
a) Combined mass of earth and venues is 10.8 × 10²⁴. b) There are total 18989.2 kg taking earth and venue to equal to the sun.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Given that,
Mass of earth = 5.9 × 10²⁴ kg
Mass of venus = 4.9 × 10²⁴ kg
a) Combined mass of earth and venus
5.9 × 10²⁴ + 4.9 × 10²⁴ = 10.8 × 10²⁴
b) If the mass of the sun = 1.9 × 10³⁰
Let's say the total gain of earth and venus combined x so it will equal the mass.
Then,
10.8 × 10²⁴ + x = 1.9 × 10³⁰
x = 18989.2 kg
Hence "Combined mass of earth and venues is 10.8 × 10²⁴ and there are a total of 18989.2 kg taking earth and venue to equal to the sun.
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208+8x−718+2x SIMPLIFY PLEASE
Answer:10x-510
Step-by-step explanation:
math
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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3(2x + 1) – (4x + 2)
How do i siplify this
Answer:
= 2x + 1
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.
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
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
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.
∠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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