Answer:
0.223 is the answers for the question but I got this answer 0.181
Step-by-step explanation:
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IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. Find the probability, rounded to four decimal digits, that the person has an IQ greater than 120. Below is a sketch of the normal curve showing the area to be determined
The probability that the person has an IQ greater than 120 is 0.2524 of 25.24%
What is probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given:
IQ is normally distributed with a mean of 100 and a standard deviation of 15.
probability that the person has an IQ greater than 120,
P(x >120)
= P(Z > 120-100/ 15)
= P(Z > 0.667)
P(x >120) = 1- P(Z < 0.667)
= 1-0.7476
= 0.2524
= 25.24%
Hence, the probability is 0.2524.
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Which shows the correct substitution of the values a, b, and c from the equation 0=-3x² - 2x + 6 into the
quadratic formula?
Quadratic formula: x=
-b±√√b²-4ac
2a
x = −(−2) ± √(−2)² − 4(− 3)(6)
2(-3)
x= -2±√2²-4(-3)(6)
2(-3)
x==(-
x = −(−2) ± √(-2)² − 4(3)(6)
2(3)
-2±√√2²-4(3)(6)
(=
2(3)
Answer: [tex]x=\frac{-(-2) \pm \sqrt{(-2)^{2}-4(-3)(6)}}{2(-3)}[/tex]
Step-by-step explanation:
a = -3 , b = -2, and c = 6.
The correct substitution of the values a, b, and c from the equation 0=-3x² - 2x + 6 into the quadratic formula is
x = (-(-2) ± √((-2)² - 4(-3)(6))) / (2(-3)).
The correct option is A.
What is a quadratic equation?For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.
To use the quadratic formula with the equation 0=-3x² - 2x + 6, we need to substitute the values of a, b, and c into the formula.
In this case, we have:
a = -3
b = -2
c = 6
Substituting these values into the quadratic formula, we get:
x = (-(-2) ± √((-2)² - 4(-3)(6))) / (2(-3))
Simplifying this expression, we get:
x = (2 ± √(4 + 72)) / (-6)
x = (2 ± √76) / (-6)
We can simplify further by factoring out the square root of 4 from the radical:
x = (2 ± 2√19) / (-6)
Therefore, the required value of x is x = (-(-2) ± √((-2)² - 4(-3)(6))) / (2(-3)).
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The owner of a fitness watch would like to determine if the mean number of steps he takes per day differs from the recommended 10,000 steps per day, using α = 0.01. He selects a random sample of 50 days with the intention of testing the hypotheses H0:μ = 10,000 steps versus Ha:μ ≠ 10,000 steps where μ = the true mean number of steps taken per day.
Which of the following values of the alternative hypothesis would yield the greatest power to reject the null hypothesis?
A. u = 9,000
B. u = 9,500
C. u = 10,000
D. u = 10,500
Answer:
ok so it could be Careful because think about it 10000x 0.01...
Answer:10,000
Step-by-step explanation:
Create a budget that will allow you to save at least $100 by the end of October.
Remember, your old budget reflected a net income of $1850.00 and included these expenses:
$600 for your rent
$475 for your car payment, car insurance, and gas
$230 for your utilities, phone, and Internet
$300 for your groceries
$50 for your entertainment
$20 for your renters insurance
$75 for discretionary spending
A final net total of $100 saved per month
Creating a New Budget to Meet Your Saving and Spending Needs
Your new budget needs to include these changes:
A new line to budget $50 per month toward a new computer
Other expenses may be modified as you choose.
A final net total of at least $300 saved per month
According to the updated budget, the net income should be at least $2100.
A budget is an estimated strategy for a certain timeframe, mostly one year. Additionally, projected material amounts, expenditures, liabilities, holdings, responsibilities, and working capital may be included.
The following list explains why the figures shown above are accurate:
The factors for the costs in the previous budget are;
Net income =$1,850.00
Cost of rent =$600
Gas, vehicle payment, and insurance together = $475.
Cost of phone, online world, and utility companies = $230.
Cost of grocery stores= $300
Cost of amusement= $50
Cost of homeowners insurance = $20.
$75 has been set aside for recreational expenditures.
Net monthly savings = $100.
Modifications to the spending plan:
$50 is the allotted sum for a computer system.
Monthly net savings = $300
∴Savings increases= $300-$100=$200
Previous net income+ cost of computer system+ 200(extra savings than previous)
= $(1850+50+200)
=$2100
So,Net earnings = $2,100
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Two numbers are in the ratio 3:8.
The larger number is 96, find the
sum of the numbers
Answer:
The sum of the numbers is 132
Step-by-step explanation:
First find the smallest number
3/8=x/96 2(96)=8x 288=8x x=36Thus, you found the smallest number
then there sum given as 96+36=132
Select the correct answer. The table represents a proportional relationship. x y 11 2 22 4 33 6 The graph represents another proportional relationship. Which equation represents the lower unit rate of these two relationships? A. B. C. D. Reset Next
The equation which represents the lower unit rate of these two relationships is y = 2x/11.
How to determine the equation?In order to determine the equation which represents the lower unit rate of these two relationships, we would find the slope of the given points.
Mathematically, the slope of a straight line can be calculated by using this formula;
[tex]Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]
Substituting the given parameters into the formula, we have;
[tex]Slope = \frac{6\;-\;4}{33\;-\;22}\\\\Slope = \frac{2}{11}[/tex]
Slope = 2/11.
From the standard equation, we have:
y = mx + c
y = 2x/11 + 0
y = 2x/11.
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[PLEASE HELP!!!!!!!!!]
Identify which equations have one solution, Infinitely many solutions, or no solution.
y+3.2y=20 +2z-1=42+2-2z|
4.5r=3.2+4.5r 21+4=3x+2
No Solution
One Solution
Infinitely Many Solutions
3z +2.5=3.2+3z
1.1+0+2=3.1+
The list of equations is shown in the picture which equation has No Solution, One Solution, and Infinitely Many Solutions.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have given a linear equation in one variable.
[tex]\rm \dfrac{1}{2}y + 3.2y = 20[/tex]
After solving:
y = 5.40 (one solution)
[tex]\rm \dfrac{15}{2}+ 2z -\dfrac{1}{4}=4z+\dfrac{29}{4} -2z[/tex]
After solving:
[tex]\rm \dfrac{15}{2} -\dfrac{1}{4}=\dfrac{29}{4}[/tex]
[tex]\rm \dfrac{29}{4}=\dfrac{29}{4}[/tex] (Infinitely Many Solutions)
3z + 2.5 = 3.2 + 3z
2.5 = 3.2 (no solution)
Similarly, we can identify which equation has No Solution, One Solution, and Infinitely Many Solutions.
Thus, the list of equations is shown in the picture which equation has No Solution, One Solution, and Infinitely Many Solutions.
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Find the 10th term of the geometric sequence whose common ratio is 3/2 and whose first term is 8
Answer: 19683/64
Step-by-step explanation:
[tex]a_{n}=8\left(\frac{3}{2} \right)^{n-1}\\\\\implies a_{10}=8 \left(\frac{3}{2} \right)^{10-1}=\boxed{\frac{19683}{64}}[/tex]
what is the measure of 4?
Answer:
∠ 4 = 80°
Step-by-step explanation:
∠ 5 and 100° are vertical angles and are congruent , so
∠ 5 = 100°
∠ 4 and ∠ 5 are same- side interior angles and sum to 180° , that is
∠ 4 + ∠ 5 = 180°
∠ 4 + 100° = 180° ( subtract 100° from both sides )
∠ 4 = 80°
a car corporation produced 1560 more cars this month than last. Write a signed number to represent this month's change in the production
Answer:
+1560
Step-by-step explanation:
Since the corporation produced 1560 more cars then the answer is simply +1560.
What are the solutions to the following system?
Transform each graph as specified below.
Answer:
Transcribed image text: Transform each graph as specified below. (a) The graph of y=f(x) is shown. Graph y=2f(x). (b) the graph of y=g(x) is shown. Graph y=g(2x).
Every row and every column of this 3 x 3 square must contain
each of the numbers 1, 2 and 3.
What is the value of N + M?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
=========================================================
Reason:
We have "1" in the upper left corner and "2" in the direct middle. This means "3" goes to the left of the "2" since each row and column cannot use repeats. Just below that "3" will go "2".
In summary so far, the first column has 1, 3, 2 in that order when moving from top to bottom. Refer to the values in green in the diagram below.
For identical reasoning, the first row has 1, 3, 2 in that order when moving from left to right. These are the values in light blue.
Once the first row is filled out, we can determine the middle entry of the bottom row, which is "1" marked in pink. This item helps us determine that M = 3 which in turn leads to N = 1.
Therefore, N+M = 1+3 = 4 is the final answer.
Side note: This square has symmetry along the northwest diagonal
What is the solution to this system of equations 5x+2y=29
X+4y=13
Answer:
(5, 2 )
Step-by-step explanation:
5x + 2y = 29 → (1)
x + 4y = 13 → (2)
multiplying (1) by - 2 and adding to (2) will eliminate y
- 10x - 4y = - 58 → (3)
add (2) and (3) term by term to eliminate y
- 9x + 0 = - 45
- 9x = - 45 ( divide both sides by - 9 )
x = 5
substitute x = 5 into either of the 2 equations and solve for y
substituting into (2)
5 + 4y = 13 ( subtract 5 from both sides )
4y = 8 ( divide both sides by 4 )
y = 2
solution is (5, 2 )
Weights of four-year-olds are Normally distributed, with a mean of 40 pounds and a standard deviation of 1.3 pounds. At his four-year checkup, Marlon’s weight is measured to be greater than 30% of boys his age. How much does Marlon weigh?
Find the z-table here.
37.6 pounds
38.4 pounds
38.7 pounds
39.3 pounds
Picture posted below
Marlon's weight is 39.3 pounds with a mean weight of 40 pounds and a standard deviation of 1.3 pounds.
We know that the formula for calculating a z-score is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
Given that mean weight = 40 pounds.
and standard deviation = 1.3 pounds.
Also given that Marlon is heavier than 30% of boys his age on average, according to measurements.
The z value of 30% is -0.524.
We can put this value in the formula.
-0.524 = (x - 40)/1.3
i.e. (-0.524) * 1.3 = x - 40
i.e. - 0.6812 = x - 40
i.e. x = 40 - 0.6812 = 39.3188
Therefore, we can conclude that Marlon's weight is 39.3 pounds with a mean weight of 40 pounds and a standard deviation of 1.3 pounds. So, the last option is correct.
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Simplify each expression and state whether each is a volume, an area, or neither.
a) n(4)2 x
b) lw+lw+wh+wh+lh+lh
c) 8y2(10y2)
a. 2n^4b, neither a volume nor an area
b. 2Iw + 2wh + 2Ih, It is an area
c. 80 y^4, neither a volume nor an area
How to simply the algebraic expressionsa. n(4) 2 x b
n * n * n* n* 2 * b
2n^4b
It is neither an area nor a volume
b. lw+lw+wh+wh+lh+lh
Collect like terms
2Iw + 2wh + 2Ih
It is an area
c. 8y2(10y2)
8y^2 * 10 * y^2
80 y^4
It is neither a volume nor an area
Thus, the expressions are simplified as a. 2n^4b, b. 2Iw + 2wh + 2Ih, c. 80 y^4
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What are the intercepts of graphed function.
Answer:
x-intercept is (-1,0)
y-intercept is (0,-3)
Step-by-step explanation:
An intercept is where the graph crosses the axis.
Here the graph crosses the x-axis (numbered horizontal line that goes left and right) at the point (-1,0)
The graph crosses the y-axis (numbered vertical line that goes up and down) at the point (0,-3). These are what are called intercepts.
If 1000 pencils cost $20, how much
would ten pencils cost? Can somone explain
Answer:
1000 pencils = $ 20.
10 pencils = ?
10 * 20 / 1000
200/1000
2/10
1/5
0.5.$
Answer:
$0.20
Step-by-step explanation:
If 1000 pencils cost $20, then we must first find the unit rate.
20/1000 = 0.02, so it costs $0.02 for each pencil. To find out what ten pencils cost, we multlipy 0.02 by 10.
0.02 * 10 = 0.2, or $0.20.
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Q5
The following are data from an independent measures experiment comparing
two treatment conditions:
Treatment 1
n=8
M = 8
SS=104
Treatment
n=8
M = 14
SS = 120
a. Do these data indicate a significant difference between the two
treatments?
b. Compute r2 and interpret the size of the treatment effect.
Answer:
A 2kg block is moved a long a level floor by a horizontal force of 20N if the coefficient of sliding friction is 0.4
what is the acceleration of the blove
The reciprocal of 15 is
1.
Answer:
1/15 is the answers for the question
Step-by-step explanation:
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Which compound inequality is represented by the graph?
-3≤x<1
-3 < x≤1
x≤-3 or x> 1
x<-3 or x ≥ 1
The inequality will be the negative 3 ≤ x < 1. Then the correct option is A.
The missing graph is attached below.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
Then the inequality will be
-3 ≤ x < 1
Then the correct option is A.
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Answer:
the answer is A
Step-by-step explanation:
While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip. After returning
to the United States he converts his money back to US dollars. How much of the original 250 US dollars does Phelan
now have? Round to the nearest cent.
1 European euro =
1.3687 US dollars
Answer:
44.70 US dollars
Step-by-step explanation:
euro left=(250/1.3687)-150=32.66(rounded to nearest cents
US dollars=32.66x1.3687
=44.70US dollars
Rasberry Crazy Ants, a species found in wall sockets, cellphones, and television sets are
slowly spreading across Texas and are poised to spread across the entire South. Named for
Texas exterminator Tom Rasberry, who spotted ants moving in an erratic swarm in 2002,
the destructive ants are now in 23 counties in Texas, the Austin American-Statesman
recently reported. Although their march in impossible to stop, it is also quite slow. They travel at an average speed of 1.8 feet per day.
a. At that rate, how long will the swarm that is presently centered in Austin, Texas, take to reach your home? Express your answer in the timeframe that is most appropriate.
b. Do you need to be worried about these ants infesting your cellphone or television? Do you need to worry for your children? For your grandchildren? Explain why or why
not.
The average time taken to travel to Toronto by the swarm of Rasberry Crazy Ants is 12,947 Years
What is the calculation for the above Solution?To arrive at the solution above, we need to look at the information given and the information assumed.
Step 1 - Information given:
Step 2 - Information assumed:
The swarm are travelling to the location of the student which is assumed to be Toronto.
Hence,
Time taken for the swam to get to Toronto (TTS) =
Distance between Austin, Texas and Toronto (DBTT) / Average distance covered per day by the Rasberry Ants. (ADC)
Estimated distance between Austin Texas and Toronto = 2592.6 Kilometers
Time travelled per day by the ants (In Km) = 0.00054864
Thus,
TTS = DBTT/ADC
= 2592.6 /0.00054864
≈ 4,725,503.06 days or
≈ 12,947 Years
Do I need to be worried about these ants infesting your cellphone or television? Do you need to worry for your children? For your grandchildren?The answer to both questions is NO.
The average life expectancy in Toronto (as at 2022) is 80 years. Assuming I was born today, it is expected that the time between now and when my last grand child will die is about:
80 x 3 = 240 years.
Given that the ants have to travel 12,947 to get to Toronto, the possibility of my grand children seeing them is zero.
Besides, even if they by chance got to Toronto and infested my grandchildren's residence, they would have nothing to worry about because Rasberry Crazy Ants are 100% harmless.
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simplify (8x2y3)/(2x4y)
Answer:
1) 8x/2x = 4
2) 2y/4y = 1/2
3) (4 x 1/2 x 3) = 6
4) /2
solutions= 6/2=3
If a study determines the difference in average salary for subpopulations of mechanical engineers and civil engineers is NOT significant, then the subpopulations of mechanical and civil engineers are ________ different salaries.
The subpopulations of mechanical and civil engineers are not earning different salaries.
Difference in average salaryIf a study determines the difference in average salary for subpopulations of mechanical engineers and civil engineers is NOT significant.
This assertion simply means that average salaries of the mechanical and civil engineers are not different.
Thus, the subpopulations of mechanical and civil engineers are not earning different salaries.
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Please help!! I will give 20 points to the correct answer !! Thanks so much
Answer:
-6 and 10
Step-by-step explanation:
i did this before. np kiddo
Answer:
-6, +10
Step-by-step explanation:
You are looking for factors of -60 that have a sum of 4. It can be helpful to list them so that they have a positive sum.
-60 = (-1)(60) = (-2)(30) = (-3)(20) = (-4)(15) = (-5)(12) = (-6)(10)
The sums are 59, 28, 17, 11, 7, 4. The factor pair of -60 that has a sum of 4 is ...
-6 and 10
_____
Additional comment
The square root of 60 is between 7 and 8, neither of which are factors of 60. That means the above list includes all of the factor pairs of 60. We have chosen the signs so that the sums are positive and the product is negative.
Josefin is 32 years younger than Annete. How many years ago was Annetes age twice Josefins age if Annete is 74 now.
Annette's age will be twice Josefin's age 10 years ago.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division
Given that:-
Josefin is 32 years younger than Annette. How many years ago was Annette's age twice Josefins age if Annette is 74 now.
So we can see that their present age Annette is 74 so the present age of Josefin will be 32 years lesser.
J = 74 - 32 = 42 years
The before 10 years ages of both the Josefin and Annettes will be:-
J = 42 - 10 = 32
A = 74 - 10 = 64
The ratio of the ages is:-
A / J = 64 / 32 = 2
A = 2 J
Therefore Annette's age will be twice Josefin's age 10 years ago.
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I have a geometry question thank you!
Answer:
The answer is 1.5.
Step-by-step explanation:
I don't have one
If you receive a 30% DISCOUNT off an item costing $60.00, how much money do you save?
Answer:
Money saved = $18
Step-by-step explanation:
Firstly, the term discount equals the difference between the price paid for and it's par value. Discount is a kind of reduction or deduction in the cost price of a product.
Given
Cost of an Item = 60$
Discount % = 30% on cost
Hence, Discount in $ = 60$*30%
= 18$
Actual Cost = 60$ - 18$ = 42$
Therefore, Savings = Discount
= 18$
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I need help, I need to find the volume of this
Answer:
396 Km³to the nearest hundred400 Km³Step-by-step explanation:
volume of a cuboid = Length × Width × Height Cubic units
6 × 11 × 6 =
66 * 6 =
396 Km³
to the nearest hundred
400 Km³
