Answer:
x = 8/3
Step-by-step explanation:
y = mx + b
y = -3x + 16
8 = -3x + 16
Subtract 16 from both sides
-8 = -3x
Divide both sides by -3
8/3 = x
Enter the values of X & Y in the solution for each system in the following table
System 1
\(\begin{gathered} 3x\text{ - 4y = 6} \\ x\text{ + 4y = 18} \end{gathered}\)Using Elimination method:
Add equation 1 to equation 2:
\(\begin{gathered} (3x\text{ -4y\rparen +}(x\text{ + 4y\rparen = 6 + 18} \\ 3x\text{ - 4y + x + 4y = 24} \\ Collect\text{ like terms} \\ 3x\text{ + x -4y + 4y = 24} \\ 4x\text{ = 24} \\ x\text{ = }\frac{24}{4} \\ x\text{ = 6} \end{gathered}\)Substitute the value of x into any of the equation and solve for y
\(\begin{gathered} x\text{ + 4y = 18} \\ 6\text{ + 4y = 18} \\ Collect\text{ like terms} \\ 4y\text{ = 18-6} \\ 4y\text{ = 12} \\ y\text{ = }\frac{12}{4} \\ y\text{ =3} \end{gathered}\)Solution: (6,3)
System 2:
\(\begin{gathered} 3x\text{ - 4y = -3} \\ 4x\text{ - 3y = 10} \end{gathered}\)Using Elimination method
Multiply the first equation by 3 and the second by 4
\(\begin{gathered} 9x\text{ - 12y = -9} \\ 16x\text{ - 12y =40} \end{gathered}\)Subtract the resulting first equation from the second:
\(\begin{gathered} (16x\text{ - 12y\rparen - \lparen9x - 12y\rparen = 40 -\lparen-9\rparen} \\ 16x\text{ - 12y - 9x + 12y =49} \\ Collect\text{ like terms} \\ 16x\text{ -9x - 12y + 12y = 49} \\ 7x\text{ = 49} \\ Divide\text{ both sides by 7} \\ \frac{7x}{7}\text{ = }\frac{49}{7} \\ x\text{ = 7} \end{gathered}\)Substitute the value of x into any of the equation and solve for y
\(\begin{gathered} 4x\text{ -3y =10} \\ 4\times7\text{ - 3y =10} \\ 28\text{ - 3y = 10} \\ Collect\text{ like terms} \\ -3y\text{ = 10-28} \\ -3y\text{ = -18} \\ y\text{ = }\frac{-18}{-3} \\ y\text{ =6} \end{gathered}\)Solution: (7,6)
Answer Summary
Expense Amount
Rent payment $953. 20/month
Auto payment $165. 87/month
Telephone $56. 98/month
Auto insurance $714. 36/six months
Once-a-week outing $35. 00/week
Using the table, what are your total monthly fixed expenses?
$ your answer goes here /month
Using the table your total monthly fixed expenses is 977.43.
Rent payment $953. 20/month
Auto payment $165. 87/month
Telephone $56. 98/month
Auto insurance $714. 36/six months
Once-a-week outing $35. 00/week
= 953.20 + 165.87 + 56.98 + 714.36/6 + (35*4)
= 1435.11
= 2412.54 - 1435.11
=977.43.
An expense is something that calls for the transfer of funds, or fortune in general, from one person or organization to another as payment for a good, service, or other type of cost. Rent is a cost to a tenant. Tuition is a cost to parents or students. Purchasing anything like food, clothing, furniture, or a car is frequently referred to as a cost.
A cost that is "paid" or "remitted" usually in exchange for anything of value is referred to as an expense. "Expensive" refers to something that appears to be very expensive. "Inexpensive" refers to something that appears to be inexpensive. "Expenses of the table" include costs associated with eating, drinking, a feast, etc.
To learn about Expense amount :
https://brainly.com/question/29973416
#SPJ4
The height of a seat on a Ferris wheel can be modeled as H (t) = 48 sin (pi/30 t+ 3pi/2) + 53, where tis time in seconds and H(t) is height in feet How far off the ground is a seat when it is at the top of the Ferris wheel?
Answer:
101ft
Step-by-step explanation:
the answer is in the above image
regarding the p-value, which one of the following statements is true?A)The p-value is the probability the null hypothesis is correct.
B) The p-value is the probability the alternative hypothesis is correct.
C) The p-value is 1 - (the probability the alternative hypothesis is correct)
D) If the p-value is large it indicates we did not calculate the test statistic correctly.
E) The p-value is calculated assuming the null hypothesis is true.
F) The p-value is calculated assuming the alternative hypothesis is true.
A p-value is a statistical technique used to decide whether or not to null hypothesis reject the null hypothesis. Often, it is contrasted with a specified significance threshold, like 0.05.
What is null hypothesis?A null hypothesis, a kind of statistical hypothesis, asserts that a certain set of observations has no statistical significance. Using test data, hypotheses are assessed for feasibility. occasionally known as "zero" and symbolised by H0. Researchers believe that there could be a connection between the variables. On the other side, the null hypothesis claims that such a link doesn't exist. Even though it might not appear relevant, the null hypothesis is a crucial component of research.
The p-value is correctly stated as follows:
E) The null hypothesis is assumed to be true when calculating the p-value.
The likelihood of generating a test statistic at least as severe as the one shown in the data, provided the null hypothesis is true, is what is meant by the term "p-value." In other words, it evaluates the evidence in light of the data's null hypothesis.
A p-value is a statistical technique used to decide whether or not to reject the null hypothesis. Often, it is contrasted with a specified significance threshold, like 0.05. We reject the null hypothesis and come to the conclusion that the alternative hypothesis is supported by data if the p-value is less than the significance level.
To know more about null hypothesis visit
https://brainly.com/question/28920252
#SPJ1
Use the Venn diagram to calculate probabilities.
Circles A, B, and C overlap. Circle A contains 12, circle B contains 11, and circle C contains 4. The overlap of A and B contains 5, the overlap of B and C contains 3, and the overlap of C and A contains 6. The overlap of the 3 circles contains 8.
Which probabilities are correct? Select two options.
In probability theory, a Venn diagram is a diagrammatic representation of sets that shows all possible logical relations between them. Venn diagrams are widely used in probability and statistics to visualize the relationship between different sets of data.
The given Venn diagram shows the relationship between three sets, A, B, and C. In order to calculate probabilities using a Venn diagram, we need to know the number of elements or members in each set, as well as any overlapping regions.
We can then use these numbers to calculate the probability of different outcomes.Let's consider two possible probabilities from the given Venn diagram:1.
The probability that an element is in set A and set B but not in set C is 0.1/0.5 = 0.22. The probability that an element is in set B or set C but not in set A is 0.2/0.6 = 1/3The first probability can be calculated by dividing the number of elements in the overlapping region of sets A and B (which is 0.1) by the total number of elements in set B (which is 0.5).
This gives us a probability of 0.22 or 22%.The second probability can be calculated by dividing the number of elements in the union of sets B and C (which is 0.2) by the total number of elements in either set B or set C (which is 0.6). This gives us a probability of 1/3 or approximately 33%.
Therefore, the correct probabilities are:1.
The probability that an element is in set A and set B but not in set C is 0.1/0.5 = 0.22.
The probability that an element is in set B or set C but not in set A is 0.2/0.6 = 1/3
For such more question on probability
https://brainly.com/question/30390037
#SPJ8
Please help !!!!meeeeee
Answer: 3
Step-by-step explanation:
Answer:
No. Divide the group of 12 small blue squares by small groups of 4 small blue squares, and you get 3, not 0.03.
Step-by-step explanation:
6.
The large square is divided into small squares. There are 10 small squares on each side of the large square. Since 10 × 10 = 100, the large square is divided into 100 small squares.
The large square is 1 unit.
Since the large square, 1 unit, is divided into 100 small squares, then each small square represents 1/100 of a unit, or 0.01 unit as a decimal.
There are 12 small squares shaded blued.
Each small square is 0.01 unit, so 12 squares represent 12 × 0.01 = 0.12.
The group of 12 small squares is divided into 3 smaller groups of 4 small squares each. Each group of 4 small squares represents 4 × 0.01, or 0.04.
Now we are asked what 0.12 ÷ 0.04 equals.
Look at the figure. The 0.12 of the entire blue shading makes up 3 groups of 0.04 size, so 0.12 ÷ 0.04 = 3.
The division 0.12 ÷ 0.04 is the same as asking how many groups of 4 small squares can you fit in the group of 12 small squares? The answer is 3.
0.12 ÷ 0.04 = 3
The answer 0.12 ÷ 0.04 = 0.03 is incorrect.
Answer: No. Divide the group of 12 small blue squares by small groups of 4 small blue squares, and you get 3, not 0.03.
Lexon is standing 7.05 meters away from the statue off the Merlin mp at Merlin park Singapore the height of her eyes from her feet is 1.55 meters given that the angle of elevation of the top of the statue from her eyes is 42゚ find the height of the statue
Answer:
7.9m
Step-by-step explanation:
We solve using the Trigonometric function of Tangent
tan θ = Opposite/Adjacent
Opposite = x
Adjacent = 7.05m
We solve for x
tan 42 = x /7.05m
Cross Multiply
tan 42 × 7.05 = x
x = 6.3478485123m
Approximately = 6.35m
Height of the statue = x + 1.55
Hence, = 6.35m + 1.55m
= 7.9m
The height of the statue = 7.9 meters
Question 4, 2.2.11 Part 1 of 2 Find the center -radius form of the equation of the circle with center (0,0) and radius 2 . b
The center-radius form of the equation of the circle with center (0, 0) and radius 2 is\(`(x - 0)^2 + (y - 0)^2 = 2^2` or `x^2 + y^2 = 4`.\)
The center-radius form of the equation of the circle is given by \(`(x - h)^2 + (y - k)^2 = r^2`\), where (h, k) is the center and r is the radius of the circle.
Given the center of the circle as (0, 0) and the radius as 2, we can substitute these values in the center-radius form to obtain the equation of the circle:\(`(x - 0)^2 + (y - 0)^2 = 2^2`or `x^2 + y^2 = 4`.\)
This is the center-radius form of the equation of the circle with center (0, 0) and radius 2.
The equation describes a circle with radius 2 units and the center at the origin (0,0).
To know more about equation visit:
https://brainly.com/question/29657983
#SPJ11
a manufacturer of disk drives for notebook computers wants a mtbf of at least 50,000 hours. recent test results for 12 units were two failures at 8,000 hours, two at 25,000 hours, and two more at 45,000 hours. the remaining units were still running at 60,000 hours. determine the following: part 2 a) percent of failures
Out of the 12 units tested, there were a total of 6 failures observed during the testing period. This indicates a failure rate of 50%, meaning that 50% of the tested units experienced failure at some point during the testing duration.
To determine the percentage of failures, we need to find the total number of failures and the total number of units tested.
From the given information, we know that there were a total of 12 units tested. Out of these, there were 2 failures at 8,000 hours, 2 failures at 25,000 hours, and 2 more failures at 45,000 hours.
So the total number of failures is 2 + 2 + 2 = 6.
To calculate the percentage of failures, we divide the number of failures by the total number of units tested and multiply by 100.
Percentage of failures = (Number of failures / Total number of units tested) * 100
Percentage of failures = (6 / 12) * 100
Percentage of failures = 50%
Therefore, the percentage of failures is 50%.
To learn more about percentage visit:
https://brainly.com/question/24877689
#SPJ11
can someone help me with this? ill give brainiest
Answer:
answer goes this way :
0
5
8
9
8
5
0
Answer:
0,5,8,9,8,5,0
Step-by-step explanation:
sub the values
Use the number line to model why -7+3=-4
Amy and her fiends have $12. 50 to spend on lunch they agree to share a large fry and buy hamburgers with the rest of the money they use the following inequality to determine how many burgers b they can buy
0. 89b+1. 82<12. 50
The values of b for which the given inequality will be satisfied are: b = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9 , 10, 11, 12}
The given inequality which shows the status of the purchase by Amy and her friends is,
0.89 b + 1.82 ≤ 12.50
where b is the number of burgers they can purchase.
Solving the given inequality we get,
0.89 b + 1.82 - 1.82 ≤ 12.50 - 1.82 [Subtracting 1.82 from both sides]
0.89 b ≤ 10.68
(0.89 b)/0.89 ≤ 10.68/0.89 [Dividing 0.89 with both sides]
b ≤ 12
since b represents the number of burgers so it cannot be negative or fraction.
So the values for which the inequality will be satisfied are: b = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9 , 10, 11, 12}.
To know more about inequality here
https://brainly.com/question/25275758
#SPJ4
The question is incomplete. Complete question will be -
HELP PLS ITS DUE IN A FEW MIN
Show the relationship between the number of weeks and Mike's savings using an equation. Type your answer starting with either "W=" or "S=".
Answer:
S = 50w + 75
Step-by-step explanation:
After each week, Mike gains $50.
Letting w = 0 gives us the amount he started with. In this case, that would be $75.
Therefore, the equation is S = 50w + 75.
choose the unit that measures distance
A. Feet
B. Pounds
C. Ounces
D. A.M
Answer:
Feet
Step-by-step explanation:
plz show work i don’t understand
Answer:
Srry can't help you buddy it doesn't make cents
Step-by-step explanation:
I NEED THIS NOW PLS HELP Stella walks down a flight of stairs to the basement. Then she walks back up the stairs and up another flight of stairs to the second floor of her house. Each flight of stairs represents a change of 12 feet in height. How far is Stella above the ground
Answer:
She is 12 feet abouv ground.
Step-by-step explanation:
anna spent 333 hours in her garden planting 666 rosebushes. to plant a rosebush, she first dug the hole, then refilled the hole with the root ball, dirt, and compost. she spent twice as long digging the hole for each plant as she did refilling it. if mmm represents the minutes spent digging a hole for a single rosebush, which equation best models the situation?
The equation that best models the situation is 2mmm + 5 = 333, where mmm represents the minutes spent digging a hole for a single rosebush.
Anna spent 333 hours in her garden planting 666 rosebushes. We can divide this into minutes by multiplying 333 by 60, which gives us 19980 minutes.
Since Anna spent twice as long digging the hole for each plant as she did refilling it, she spent an equal amount of time digging the hole for each rosebush and refilling it.
Therefore, if we let mmm represent the minutes spent digging the hole for a single rosebush, we can create an equation for the time spent digging the holes for all 666 rosebushes, which is 2mmm × 666.
We can then add the time spent refilling the holes, which is 5 minutes per rosebush, or 5 × 666.
This gives us our final equation of 2mmm × 666 + 5 × 666 = 19980.
We can then solve for mmm by dividing both sides by 1332, which gives us 2mmm + 5 = 333.
The equation that best models the situation is 2mmm + 5 = 333, where mmm represents the minutes spent digging a hole for a single rosebush.
Learn more about equation here
https://brainly.com/question/29657992
#SPJ4
The equation 2mmm + 2 = 333 models the situation in which Manna spent twice as long digging a hole for each rosebush as she did refilling it for 333 hours.
2mmm + 2 = 333
2mmm = 331
mmm = 165.5
Manna spent 165.5 minutes digging a hole for each rosebush.
The equation 2mmm + 2 = 333 models the situation in which Manna spent twice as long digging a hole for each rosebush as she did refilling it for 333 hours. By solving the equation, we can determine that Manna spent 165.5 minutes digging a hole for each rosebush. This means that she spent a total of 331 minutes refilling the holes with the root ball, dirt, and compost for each rosebush. Therefore, for planting 666 rosebushes, Manna spent a total of 333 hours in her garden.
Learn more about equation here
https://brainly.com/question/29657992
#SPJ4
Based on the following data: rRF=5.5%;rM−rRF=6%;b=0.8;D1=$1.00;P0=$25.00;g=6%;rd= firm's bond yield =6.5%. What is this firm's cost of equity using the CAPM approach?
Based on the following data: rRF=5.5%;rM−rRF=6%;b=0.8;D1=$1.00;P0=$25.00;g=6%;rd= firm's bond yield =6.5%, the firm's cost of equity using the CAPM approach is 10.3%.
To calculate the firm's cost of equity using the CAPM (Capital Asset Pricing Model) approach, we use the following formula:
Cost of Equity (re) = rRF + (rM - rRF) * β
Given: Risk-free rate (rRF) = 5.5% Market risk premium (rM - rRF) = 6% Beta (β) = 0.8
Using the provided data, we can calculate the firm's cost of equity:
Cost of Equity = 5.5% + (6% * 0.8) = 5.5% + 4.8% = 10.3%
Therefore, the firm's cost of equity using the CAPM approach is 10.3%.
To know more about cost , visit
https://brainly.com/question/32842885
#SPJ11
How many cars would be needed to fit $$ passengers?
Explain why S is not a basis for R. S = {(-3, 4), (0, 0); A S is linearly dependent. B. s does not span C. S is linearly dependent and does not span R
The set S = {(-3, 4), (0, 0)} is not a basis for the vector space R.
To determine if S is a basis for R, we need to check if the vectors in S are linearly independent and if they span R.
First, we check for linear independence. If the only solution to the equation c1(-3, 4) + c2(0, 0) = (0, 0) is c1 = c2 = 0, then the vectors are linearly independent. However, in this case, we can see that c1 = c2 = 0 is not the only solution. We can choose c1 = 1 and c2 = 0, and the equation still holds true. Therefore, the vectors in S are linearly dependent.
Since the vectors in S are linearly dependent, they cannot span R. A basis for R must consist of linearly independent vectors that span the entire space. Therefore, S is not a basis for R.
Learn more about span here : brainly.com/question/32093749
#SPJ11
Which expressions are equivalent to the given expression?
Square root 252
\(\sqrt{252\\\) = 6\(\sqrt{7}\)
We have to find the equivalent of \(\sqrt{252\\\) so first find.
Prime factorization of 252= 2² × 3² × 7²
now, Prime factors of 252 in pairs: (2×2) × (3×3) × 7
Now, the square root of 252: \(\sqrt{252\\\) = \(\sqrt{((2*2) *(3*3) *7}\)
So, the square root of 252 = (2*3)\(\sqrt{7}\) = 6\(\sqrt{7}\)
Factorization of an algebraic expression means writing the given expression as a product of its factors. These factors can be numbers, variables, or an algebraic expression.
There are a few methods or tricks to remember. Reduce the expression by the greatest common factor. Check if there are perfect squares or differences of squares. Use the algebraic formulas or identities to factorize the expression.
To learn more about factorization:
https://brainly.com/question/18187355
Please help me with this question
Answer:
4x+6y
Step-by-step explanation:
How can you make iot clear that a measured value of 980 inches actually has 3 significant figures?
The figure 980 inches can be written as 980.0 inches. It contains two non-zero digits and a zero trailing before the decimal point. Hence, it has three significant figures.
Rules to Determine Number of Significant Figures:
There are three fundamental rules that one can use to determine the significant figures in any given number or value. These rules go as follows:
Digits that are not zero are always counted among significant figures.Any zeros in the range of two significant digits are to be counted.The zeroes at the end of any number are significant unless they have been used after a decimal point.For the portion followed by a decimal point, zeroes at the end are not counted, but zero between two non-zero digits and zero in the initial portion of the floating point are counted while taking note of the significant figures in a decimal value.
Learn more about significant figures here:
https://brainly.com/question/14359464
#SPJ4
I need help with this
Answer:
Step-by-step explanation:
Step 1. Calculate the measures of center (mean and median)
Mean= Average= All data values added together then divided by number of data values.
Median = middle of numbers
0: 14: 35: 86: 37: 18: 59: 210: 3So, number of data values = 3+2+5+1+3+8+3+1= 26
Data values added together = 0 + 4+4+4+5+5+5+5+5+5+5+5+6+6+6+7+8+8+8+8+8+9+9+10+10+10= 165
165/26= 6.34615384
Average = 6.3
Median: Arrange numbers from least to greatest and eliminate one on both sides until you get a middle number:
0 , 4,4,4,5,5,5,5,5,5,5,5,6,6,6,7,8,8,8,8,8,9,9,10,10,10
The median is 6.
Step 2: Calculate range, IQR, and MAD
Range: Maximum- minimum
IQR: The IQR is the difference between Q3 and Q1.
Q1 is the middle value in the first half of the data set.
Q3 is the middle value in the second half of the data set.
MAD:
Take the average. Find the distance of each value from that mean (difference between data values and mean) , then take absolute value of that distance. Find the mean of those distances.Range: 10-0= 10
IQR: 3
MAD (population) : 1.9378698224852
MAD (sample) : 1.9378698224852
what is the slope of a line if the equation is y=7x -5
Answer:
7
Step-by-step explanation:
The standard form is y=mx + b where your m value is the slope and your b value is the y-intercept.
So in your case, 7 is your m value therefore 7 being your slope
Hii!
__________________________________________________________
Answer:
Slope is 7! ^^
Step-by-step explanation:
Note that the equation of the line is given to us in slope intercept, y=mx+c.
m=slope | c=y intercept.
The slope intercept formula is
y=mx+c.
The equation this question provided us is.
y=7x-5
Slope=7
--
Hope that this helped! Best wishes.
--
Find the following for each equation:
The rate of change?
State whether the y-values are increasing,
decreasing, or neither as x increases.
Give the y-intercept.
List the coordinates of two points that lie on the
graph of the equation.
a. y = 1.5x
b. y = −3x + 10
c. y = −2x + 6
d. y = 2x + 5
a) Rate of change: 1.5
b) Rate of change: -3
c) Rate of change: -2
d) Rate of change: 2, other values are calculated below.
Define the term equation?When two sides of a balance scale are equal, the equation will remain true.
a. y = 1.5x
Rate of change: 1.5 (which means that for every increase of 1 in x, y increases by 1.5)
Y-values increase as x increases
Y-intercept: 0 (the point where the line crosses the y-axis)
Two points: (0,0) and (2,3)
b. y = -3x + 10
Rate of change: -3 (which means that for every increase of 1 in x, y decreases by 3)
Y-values decrease as x increases
Y-intercept: 10
Two points: (0,10) and (3,1)
c. y = -2x + 6
Rate of change: -2 (which means that for every increase of 1 in x, y decreases by 2)
Y-values decrease as x increases
Y-intercept: 6
Two points: (0,6) and (3,0)
d. y = 2x + 5
Rate of change: 2 (which means that for every increase of 1 in x, y increases by 2)
Y-values increase as x increases
Y-intercept: 5
Two points: (0,5) and (3,11)
To know more about equation, visit:
https://brainly.com/question/2228446
#SPJ1
what is the measure of each angle in a regular nonagon?
Answer:
140°
Step-by-step explanation:
a regular polygon is equiangular, equal angles.
a nonagon is a 9 sided polygon
the sum of the interior angles of a polygon is
sum = 180° (n - 2 ) ← n is the number of sides
here n = 9 , then
sum = 180° (9 - 2) = 180° × 7 = 1260° , then
each angle = 1260° ÷ 9 = 140°
Consider the following generic C comparison function and its assembly language representation C code: byte compbyte a,byte b)/a in rdi,b in rsi Assembly code cmpb %rsi,%rdi set_inst %a1 ret Your jobs(fill-in blank):now sh given values of a and b g SET instruction and the A.5 points set CI SF OF %al setg 47 23 B.5 points set h SF OF %a setl 23 47 C.5 points ZA SF OF %al set sete 23 23 D.5 points CF ZF SF OF 00%1 set b setne 23 47
The correct answer is D. setne 23 47. Based on the provided information, I understand that you have a comparison function in C code and its corresponding assembly code. You are asked to fill in the blanks by selecting the appropriate instructions based on the given values of a and b and the status flags SF, OF, ZF, and CF. Let's go through the options:
A. setg 47 23: This option is incorrect because setg is used to set a byte to 1 if the Greater flag (ZF=0 and SF=OF) is set, but the given values of a and b are 47 and 23, respectively, so it does not satisfy the condition for setg to be set.
B. setl 23 47: This option is incorrect because setl is used to set a byte to 1 if the Less flag (SF≠OF) is set, but the given values of a and b are 23 and 47, respectively, so it does not satisfy the condition for setl to be set.
C. sete 23 23: This option is incorrect because sete is used to set a byte to 1 if the Zero flag (ZF=1) is set, but the given values of a and b are 23 and 23, respectively, so it does not satisfy the condition for sete to be set.
D. setne 23 47: This option is correct. setne is used to set a byte to 1 if the Zero flag (ZF=0) is not set, which means the values of a and b are not equal. In this case, the given values of a and b are 23 and 47, respectively, so they are not equal, and setne should be used.
Therefore, the correct answer is D. setne 23 47
To know more about byte visit-
brainly.com/question/32309440
#SPJ11
Laura spent ⅕ of her money on a new pocketbook and had $90 remaining. How much did she spend on her new pocketbook?
Answer:
$18
Step-by-step explanation:
90 x 1/5
90/5
18
Answer:
$22.50
Step-by-step explanation
90 is 80% (4/5) of what number (x)? So you do 90 times 100 = 9000 and 80 times x is 80x and then 9000 divided by 80 is 112.5 so she had 112.5 to begin with but she spent 1/5 so 112.5 divided by 5 is 22.5 so 1 fifth is 22.5
A recent study reported that 60% of the children in a particular community were overwoight or obese. Suppose a random sample of 200 public school children is taken from this community. Assume the sample was taken in such a way that the conditions for using the Central Limit Theorem are met. We are interested in finding the probability that the proportion of overveightfobese children in the sample will be greater than 0.57. Complete parts (a) and (b) below. a. Before doing any calculations, determine whether this probability is greater than 50% or less than 50%. Why? A. The answer should be less than 50%. because 0.57 is less than the population proportion of 0.60 and because the sampling distribution is approximately Normal. B. The answer should be greater than 50%, because the resulting z-score will be positive and the sampling distribution is approximately Normal. C. The answer should be greater than 50%, because 0.57 is less than the population proportion of 0.60 and because the sampling distribution is approximately Normal. 0. The answer should be less than 50%, because the resulting z-score will be negative and the sampling distribution is approximately Normal.
The probability that the proportion of overweight or obese children in the sample will be greater than 0.57 is less than 50%.
The first paragraph summarizes the answer, stating that the probability is less than 50% because 0.57 is less than the population proportion of 0.60, and the sampling distribution is approximately normal.
In the second paragraph, we can explain the reasoning behind this conclusion. The Central Limit Theorem states that for a large sample size, the sampling distribution of the sample proportion will be approximately normal, regardless of the shape of the population distribution. In this case, the sample was taken in a way that meets the conditions for using the Central Limit Theorem.
Since the population proportion of overweight or obese children is 0.60, any sample proportion below this value is more likely to occur. Therefore, the probability of obtaining a sample proportion greater than 0.57 would be less than 50%. This is because the resulting z-score, which measures how many standard deviations the sample proportion is away from the population proportion, would be negative.
To summarize, the probability of the proportion of overweight or obese children in the sample being greater than 0.57 is less than 50% because 0.57 is less than the population proportion of 0.60, and the sampling distribution is approximately normal.
To learn more about probability click here, brainly.com/question/31828911
#SPJ11