Answer:
The expected value is $ - 0.53 (negative means losing)If you the player played the game 1,000 times, the player would expect to lose $530.Explanation:
The expected value is calculated as the net result of the sum of the products of every probability times each value, less the cost.
That is: expected value = [ ∑ (probability × value)] - cost
For the game of roulette you have:
cost of the bet: $10probability of wining: 1/38value of wining: $ 350 + $ 10 = $ 360probability of losing: 1 - 1/38 = 37/38value of losing: 0Expected value = $ 360 × 1/38 + $ 0 × 37/38 - $10 = $9.47 - $10 = - $ 0.53
Since, each time you play is independent of the others plays, if you played 1,000 times, you would expect to lose 1,000 times 0.53, i.e 1,000 × 0.53 = $ 530.
Based on the probabilities and payoffs involved, the expected value of this roulette game is -$0.263 per game, meaning the player loses approximately $0.263 with each game. If played 1000 times, the player would expect to lose about $263.
Explanation:In the game of roulette, the expected value represents an average of all possible outcomes, weighted by their corresponding probabilities. When the metal ball lands on 6, the net gain is $350 (the $10 bet returned plus the $350 winnings). However, when any other number is rolled, the player loses their $10 bet. Hence, the expected value for any single play of the game can be calculated by multiplying each outcome by its probability, and then adding these results together.
The expected value is calculated with the formula:
Expected Value = (Probability of Winning * Gain from Winning) + (Probability of Losing * Loss from Losing)So, with a 1/38 chance of winning $350 and a 37/38 chance of losing $10, we get:
Expected Value = [(1/38) * $350] + [(37/38) * -$10]Therefore, the expected value is -$0.263. This means, on average, you will lose approximately $0.263 each time you play the game. If you play the game 1000 times, you would expect to lose about $263.
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Assume that 1400 births are randomly selected and 698 of the births are girls. Use subjective judgment to describe the number of girls as significantly high, significantly low, or neither significantly low nor significantly high.
Answer:
neither significantly low nor significantly high.
Step-by-step explanation:
Great question, it is always good to ask away and get rid of any doubts that you may be having.
Since there are a total of 1400 births we can easily calculate that half of that number is 700. Since the total number of girls born are 698 we can see that it is basically half of the total number of births. Therefore I can subjectively state that this number is neither significantly low nor significantly higher. There are almost an equal number of girls being born than there are boys.
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
Final answer:
Using subjective judgment, the number of girls in 1400 births being 698, as opposed to the expected 682.9 based on the natural ratio, is not significantly high. For the China birth ratio study, the observed 40% girl births in a sample of 150 is lower than the reported 46.7% but requires statistical analysis to determine significance.
Explanation:
When assessing whether a particular set of birth data is significantly high or low, we must compare the observed data to the expected birth ratio. The natural ratio of girls to boys is typically close to 100:105, as mentioned in the Newsweek article. In the case of the 1400 randomly selected births with 698 being girls, we can calculate the expected number of girls using the natural ratio.
Expected number of girls = Total births × Expected ratio of girls = 1400 × (100 / (100+105)) = 1400 × (100 / 205) ≈ 682.9
Comparatively, 698 girls is slightly above what we would expect naturally, but to judge if this is significantly high or not, we would typically perform a statistical test such as a chi-square test. However, using subjective judgment, we may find that the difference of 698 observed minus 682.9 expected is not large enough to be considered significantly high, particularly without calculated statistical significance.
In the example using maternity ward probabilities, the chances of different numbers of boys being born to six women can be calculated using binomial probabilities. For instance, the probability of exactly one boy being born is (6 choose 1) × (0.5)1 × (0.5)5 = 0.09375 or 9.375%.
Regarding the birth ratio in China—using your study showing 60 girls out of 150 births, which gives a percentage of 40%, is lower than the reported 46.7%. Before drawing conclusions from this study, it's important to consider sample size and variability to determine if the study results are statistically significant.
Triangle ABC with vertices A(4, -6), B(2, -8), and C(-10, 4) is dilated by a scale factor of 2 to obtain triangle A'B'C Which statement best describes triangle A'B'C it is similar to triangle ABC and has coordinates A'(2,-3), B'(1,-4), and C'(-5, 2). It is similar to triangle ABC and has coordinates A'(8,-12). B'(4, -16), and C'(-20, 8). It is congruent to triangle ABC and has coordinates A'(2, -3), B'(1,-4), and C'(-5, 2). It is congruent to triangle ABC and has coordinates A'(8, -12), B'(4,-16), and C'(-20, 8).
Answer:
It is similar to triangle ABC and has coordinates A'(8,-12). B'(4, -16), and C'(-20, 8).
Step-by-step explanation:
Dilation about the origin multiplies each coordinate value by the dilation factor:
A' = 2A = 2(4, -6) = (8, -12) . . . . A' for example
Dilated figures cannot be congruent if the dilation factor is not 1. They are always similar.
The appropriate description is the one shown above.
The dilated triangle A'B'C' with vertices A'(8, -12), B'(4, -16), and C'(-20, 8) is similar but not congruent to triangle ABC because the triangle's sides are proportional but not identical in length due to the scale factor of 2.
The question concerns the concept of dilation of geometric figures and whether the dilated triangle A'B'C' is similar or congruent to the original triangle ABC. When a figure is dilated by a scale factor, the coordinates of the vertices are multiplied by that factor. Given vertices A(4, -6), B(2, -8), and C(-10, 4) and a scale factor of 2, the coordinates of the dilated triangle A'B'C' should be A'(8, -12), B'(4, -16), and C'(-20, 8).
To determine similarity or congruence, we need to look at the properties of the triangles. Since the lengths of the sides of triangle A'B'C' are twice those of triangle ABC, the triangles are similar because their corresponding angles are equal and their corresponding sides are proportional. However, they are not congruent because their sides are not equal in length.
If there are x teams in a sports league, and all the teams play each other twice, a total of n(x) games are played, where n(x)equalsxsquaredminusx. a football league has 7 teams, each of which play the others twice. if the league pays $45 per game, how much will it cost to play the entire schedule?
Answer:
$1,890
Step-by-step explanation:
Without including repeated instances of games (for instance, if I said that team 4 plays team 2 twice, then that would just be repeating when I already said that team 2 plays team 4 twice):
Team 1 plays:
teams 2, 3, 4, 5, 6, and 7 twice for a total of 12 games
Team 2 plays:
teams 3, 4, 5, 6, and 7 twice for a total of 10 games
Team 3 plays:
teams 4, 5, 6, and 7 twice for a total of 8 games
Team 4 plays:
teams 5, 6, and 7 twice for a total of 6 games
Team 5 plays:
teams 6 and 7 twice for a total of 4 games
Team 6 plays:
team 7 twice for a total of 2 games
--
Total it up:
[tex]12+10+8+6+4+2\\22+8+6+4+2\\30+6+4+2\\36+4+2\\40+2\\42[/tex]
Multiply by cost per game.
[tex]42*45=1890[/tex]
Wayne needs to drive 470 miles to reach Milwaukee. Suppose he drives at a constant speed of 50 miles per hour. Which function represents Wayne's distance in miles from Milwaukee in terms of the number of hours he drives? A. y = 420x B. y = 470 + 50x C. y = 50 ? 470x D. y = 50 + 470x E. y = 470 ? 50x
Answer:
223
Step-by-step explanation:
i honestly dont even know
Answer:b y=470+50x
Step-by-step explanation:
Which of the following equations uses the commutative property of addition to rewrite 1/3+2/5?
Select one:
a. 2/3+1/5=13/15
b. 1/3+2/5=5/15+6/15
c. 11/15−2/5=1/3
d. 2/5+1/3=11/15
Answer:
d. 2/5+1/3=11/15
Step-by-step explanation:
The commutative property of addition allows you to change the order of the operands in a sum. 2/5 is the second operand in the original sum; it is the first operand in selection D.
Factor the expression 4b^2-9
Answer:
answer is 7
Step-by-step explanation:
4b squared minus 9,16 is 4b squared because 4 time 4 is 16.thats how you would solve squared.then you want to minus 16 by 9,then your answer should be 7.
Answer:
(2b - 3)(2b + 3)
Step-by-step explanation:
4b² - 9 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b)
4b² = (2b)² ⇒ a = 2b and 9 = 3² ⇒ b = 3, so
4b² - 9 = (2b)² - 3² = (2b - 3)(2b + 3)
Alexandra has a stand in the marketplace where she sells ground cumin. She has a fixed amount of weekly expenses, and she sells her cumin for \$7.20$7.20dollar sign, 7, point, 20 per kilogram. If she sells 909090 kilograms of cumin, her weekly net profit is \$414$414dollar sign, 414. How much cumin does Alexandra have to sell to cover her weekly expenses?
Answer: She have to sell 32.5 kg to cover her weekly expenses.
Step-by-step explanation:
Since we have given that
Selling price of cumin per kg = $7.20
Quantity of cumin she sells = 90 kg
Net profit she get = $414
Total amount she get after selling 90 kg is given by
[tex]90\times 7.20=\$648[/tex]
So, Weekly expenses would be
[tex]\$648-\$414\\\\=\$234[/tex]
Quantity of cumin she need to sell to cover her weekly expenses is given by
[tex]\dfrac{234}{7.20}\\\\=32.5\ kg[/tex]
Hence, She have to sell 32.5 kg to cover her weekly expenses.
WANT FREE POINTS PLUS BRAINLIEST??? ANSWER THIS CORRECT AND QUICK
which expression represents the measure of segment RS?
Answer:
x+5
Step-by-step explanation:
subtracting both equations give you x+5
In America, a person uses about 100 gallons of water each day, which is equal to 1,600 water-filled drinking glasses. How many water-filled drinking glasses would 281 Americans fill in a weeks time?
Your answer is 3,147,200 water-filled drinking glasses.
The first thing I would do is change the value of 1,600 water-filled drinking glasses to be equivalent to the total that would result from 281 Americans.
To do this, you just want to multiply 1,600 by 281, as the value of 1,600 is from one person, and for 281 people, the 1,600 would happen 281 times.
1,600 * 281 = 449600
Next, since the value of 449,600 is for 281 Americans in one day's time, multiply by 7 to make it equal to one week's time. This is because one week = 7 days, so the 449,600 total would happen 7 times in one week.
449,600 * 7 = 3,147,200
Therefore, your answer is 3,147,200.
Hope this helps!
In a week 281 Americans will use 3,147,200 water-filled drinking glasses.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Each day one person uses 1,600 water-filled drinking glasses.
∴ In a week the person will uses (1600×7) = 11200 water-filled drinking glasses.
∴ 281 will use (11200×281) = 3,147,200 water-filled drinking glasses.
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Use synthetic division to solve (x^3 + 1) ÷ (x – 1). What is the quotient?
Answer:
[tex](x^{2} +x+1)(x-1)+2[/tex]
Step-by-step explanation:
The synthetic division can be used to divide a polynomial function by a binomial of the form x-c, determining zeros in the polynomial.
step 1: Establish the synthetic division, placing the polynomial coefficients in the first row (if any term does not appear, assign a zero coefficient) and to the extreme left the value of c.
1 | 1 0 0 1
step 2: Lower the main coefficient to the third row.
1 | 1 0 0 1
1
Step 3: Multiply 1 by the main coefficient 1.
1 | 1 0 0 1
1
1
step 4: Add the elements of the second column.
1 | 1 0 0 1
1
1 1
step 5: Then repeat step 4 until the constant term 1 is reached.
1 | 1 0 0 1
1 1 1
1 1 1 2
step 6: Enter the quotient and remainder
quotient: [tex]x^{2} + x + 1[/tex]
remainder: 2
Solution: [tex]x^{2} + x + 1[/tex] [tex](x+1) + 2[/tex]
Answer:
x^2+x+1+[tex]\frac{2}{x-1}[/tex]
Step-by-step explanation:
SOMEONE PLEASE HELP ME WITH THIS MATH QUESTION FILL ALL BLANKS
What dividend is represented by the synthetic division below?
Answer:
2x³ + 10x² + x + 5
Step-by-step explanation:
The coefficients of the dividend are represented by the top row, that is
2 10 1 5 → 2x³ + 10x² + x + 5
The divisor is ( x + 5) and
the quotient is represented by the first 3 numbers on the bottom row
2 0 1 → 2x² + 1
The last zero on the same row is the remainder
Since zero this indicates that (x + 5) is a factor of 2x³ + 10x² + x + 5
Answer:
b
Step-by-step explanation:
What is the measure of angle S?
A. 48°
B. 56
C. 93
D. 101
Answer:D
Step-by-step explanation:it’s a supplementary angle which measures 180 degree now subtract side T=79 degrees by the 180 degree= 101
Answer:
C. 93°
Step-by-step explanation:
A rhombus must have 360° in total. You can add all of the numbers you have right in the shape and use to subtract from 360. You will get 93°
You can also see that the angle is nearly 90° Then you would know that it is 93°.
A church rings its bells every 15 minutes, the school rings its bells every 20 minutes and the day care center rings its bells every 25 minutes. If they all ring their bells at noon on the same day, at what time will they next all ring their bells together? (Answer in the form AB:CD without am or pm such as 08:00)
Answer:
5 : 00 PM
Step-by-step explanation:
Given,
Church ring bells every 15 minutes,
School rings its bells every 20 minutes,
And, day care center rings its bells every 25 minutes,
Thus, the number of minutes after which they will ring together = LCM (15, 20, 25)
∵ 15 = 3 × 5,
20 = 2 × 2 × 5,
25 = 5 × 5,
Thus, LCM (15, 20, 25) = 300
Now, 1 minute = 1/60 hours ⇒ 300 minutes = 5 hours,
Hence, after 5 hours they will ring together,
If they rang at 12:00 PM,
Then they will ring after 5 hours that is 5:00 PM.
Please help, im spending 98 points.
Answer:
The answer is C; F(x) = 5x³ - 2
Step-by-step explanation:
See the attached graph below
Answer:
f(x) = 5x^3 -2
Step-by-step explanation:
We notice two things about the red graph, F(x). It has been shifted down and it is narrower.
Lets deal with the shifted down first. Looking at the point where it crosses the y axis on the graph of g(x) is 0
Looking at where it crosses the y axis for f(x) is -2
We have shifted the graph down 2
f(x) = g(x) + C
C > 0 moves it up
C < 0 moves it down
We will let c = -2
f(x) = g(x) -2
Now lets deal with the compression
f(x) = g(Cx)
C > 1 compresses it in the x-direction
0 < C < 1 stretches it
Since it got narrower, C > 1
our choices are 5 or negative 5 for the coefficient on x
Remember that the negative sign flips it across the x axis (reflections)
Since we do not have a reflection, we want positive 5
f(x) = 5x^3 -2
find the value of x, will mark brainliest
Answer:
x° = 55°
Step-by-step explanation:
The measure of external angle x° is the sum of the opposite internal angles shown.
x° = 21° +34° = 55°
A workbook contains 1,213 problems. If 837 of the problems have been solved, how many unsolved problems are left in the workbook?
Answer:
376
Step-by-step explanation:
This is a subtraction problem.
1,213 - 837 =
1,213
- 837
-----------
376
Answer: 376
Answer:376
Step-by-step explanation:1213-837=376
Suppose you have a credit card with a 24.31% APR on purchases. You pay the minimum payment by the statement due date, leaving an outstanding balance of $3,200. How much money would you save by paying off the balance 1 day later as opposed to paying it off 30 days later?
The difference in cost between paying off a $3,200 balance one day later versus 30 days later is the interest accumulated over those 29 days. The daily interest rate is calculated from the annual percentage rate (APR), and then multiplied by the balance and the number of days.
Explanation:When you have a credit card debt with an Annual Percentage Rate (APR) of 24.31%, interest is accrued daily on the current balance. Therefore, the difference between paying off your $3,200 debt one day later as opposed to 30 days later would essentially be the interest charged over the course of those additional 29 days.
Since APR is annual, the daily interest rate is calculated by dividing the APR by 365. In this case, the daily percentage rate is 0.0666%. Multiply this by the balance ($3,200) to calculate the approximate interest for one day. To find the total for 30 days, simply multiply the one day interest by 30.
However, do note that real-life calculations might be slightly different due to varying bank policies on compounding interest.
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By paying off the balance 1 day later, you would save $62.36 compared to paying it off 30 days later.
Explanation:To calculate the amount of money saved by paying off the credit card balance 1 day later as opposed to 30 days later, we need to consider the interest charged on the outstanding balance. The credit card has an APR of 24.31% on purchases. We can use the formula:
Interest = (Principal x Rate x Time) / 365
Let's calculate the interest for 1 day and for 30 days and find the difference:
Interest for 1 day: (3200 x 0.2431 x 1) / 365 = $2.15Interest for 30 days: (3200 x 0.2431 x 30) / 365 = $64.51Difference in interest: $64.51 - $2.15 = $62.36By paying off the balance 1 day later, you would save $62.36 compared to paying it off 30 days later.
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polygons BCDE & FGHI are similar
please help
Answer: [tex]\bold{a)\quad \dfrac{BC}{FG}=\dfrac{BE}{FI}}[/tex]
b) ∠H
c) ∠E
Step-by-step explanation:
I find it easiest to do these problems if I write one polygon on top of the other. That way I can easily see the angles and sides that match.
B C D E
F G H I
a) BC matches to FG and FI matches to BE
The proportion is: [tex]\dfrac{BC}{FG}=\dfrac{BE}{FI}}[/tex]
*****************************************************************************************
b) What matches with ∠D? Look at the letter below to see that it is ∠H
******************************************************************************************
c) What matches with ∠I? Look at the letter above to see that it is ∠E
David is throwing a stone in the air at an angle from the ground with an initial velocity of 30 feet per second. The equation h=-10t2 + 40t +2 gives the height of the stone thrown. Find the maximum height of the stone
Answer:
42 feet
Step-by-step explanation:
The vertex of the quadratic function described by the equation is located at ...
t = -(40)/(2(-10)) = 2
The value of height at t=2 is ...
h = -10(2²) +40(2) +2 = -40 +80 +2 = 42 . . . . feet
The maximum height is 42 feet.
_____
The equation gives the vertical speed at t=0 as 40 ft/sec, which is in contradiction to the number given in the problem statement as the initial velocity. We have used the given equation to answer the question. Since we don't know the throwing direction, we cannot properly adjust the equation to match the description of the scenario.
The Golden Braid Bookstore currently has $340,000 in cash, $280,000 in inventory, and $40,000 in accounts receivable. The company also has $65,000 in accounts payable, and $15,000 in other current liabilities. What is its quick ratio?
The quick ratio is a measure of a company's liquidity. It calculates a company's ability to pay off its current liabilities with its most liquid assets. The Golden Braid Bookstore has a quick ratio of 4.75.
Explanation:The quick ratio, also known as the acid-test ratio, is a measure of a company's liquidity. It calculates a company's ability to pay off its current liabilities with its most liquid assets. The formula for the quick ratio is:
Quick Ratio = (Cash + Accounts Receivable) / Current Liabilities
In this case, the Golden Braid Bookstore has $340,000 in cash and $40,000 in accounts receivable. Its current liabilities include $65,000 in accounts payable and $15,000 in other current liabilities. Plugging these values into the formula:
Quick Ratio = (340,000 + 40,000) / (65,000 + 15,000)
Quick Ratio = 380,000 / 80,000
Quick Ratio = 4.75
Therefore, the Golden Braid Bookstore has a quick ratio of 4.75.
Carmen is riding her bike. The number of revolutions (turns) her wheels make varies directly with the distance she travels. See the graph below.
here is the solution.
Please let me know if the answer is different and also if you don't understand.
URGENT PLEASE ANSWER THIS MATH QUESTION
Answer:
If ABCD is dilated by a factor of 1/2, the coordinate of D' would be (1, -1).
Step-by-step explanation:
When dilating figures, each x-coordinate and y-coordinate is multiplied by the scale factor. In this case, the coordinates of D were being dilated by a factor of 1/2.
D: (2,-2)
D': [(1/2)2, (1/2)-2]
The coordinates of D' are (1,-1).
What is the average rate of change for the sequence shown below? coordinate plane showing the points 1, 4; 0.5, 3.5; 0, 3; and negative 0.5, 2.5
−2
−one half
1
2
Answer:
1
Step-by-step explanation:
Please use parentheses around the coordinates of your points:
(1, 4); (0.5, 3.5), etc.
If we go from (0.5, 3.5) to (1, 4), x increases by 0.5 and y increases by 0.5.
Thus the slope is m = rise / run = 1/1 = 1.
This is the average rate of change for the sequence shown.
The average rate of change for the sequence shown on the coordinate plane is calculated by finding the ratio of the differences in y-values to differences in x-values. For the given sequence, this average rate of change is 1.
Explanation:The average rate of change in a sequence given by a series of points on a coordinate plane can be calculated by finding the difference between the y-values divided by the difference in x-values. For the given points 1, 4; 0.5, 3.5; 0, 3; and negative 0.5, 2.5, we have:
Find the differences in y-values (4-3.5=0.5; 3.5-3=0.5; 3-2.5=0.5) Find the differences in x-values (1-0.5=0.5; 0.5-0=0.5; 0-(-0.5)=0.5) Find the ratio of difference in y-value to difference in x-value (0.5/0.5=1; 0.5/0.5=1; 0.5]/0.5=1)So, the average rate of change for the sequence shown is 1.
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MAJOR HELP!
Select the correct answer from each drop-down menu.
A cone's height is equal to the radius of its base. The area of its base is 1,386 square units.
The approximate radius of the cone's base is units. The approximate volume of the cone is cubic units. Use .
Answer:
The radius of the cone is 21 units
The volume of the cone is 9702 units³
Step-by-step explanation:
* Lets revise the area of the circle and the volume of the cone
- The base if the cone is a circle
- The area of the circle is πr², where r is the radius of the circle
∵ The area of the base of the cone = 1386 units²
∵ The area of the base = πr²
∵ π = 22/7
∴ 1386 = 22/7 (r²) ⇒ multiply each side by 7
∴ 9702 = 22 r² ⇒ divide both sides by 22
∴ 441 = r² ⇒ take √ for both sides
∴ 21 = r
* The radius of the cone is 21 units
- The volume of the cone = 1/3 πr²h , where h is the height of the cone
∵ The cone's height is equal to the radius of its base
∴ h = r
∵ The volume of the cone = 1/3 πr²h
∴ The volume of the cone = 1/3 πr²(r) = 1/3 πr³
∵ r = 21 units
∴ The volume of the cone = 1/3 (22/7) (21)³
∴ The volume of the cone = 9702 unit³
* The volume of the cone is 9702 units³
Brianna is graphing the function f(x) = x2 + 6x + 5. What x-intercepts should Brianna use to graph f(x)?
–5 and –1
–5 and 1
–1 and 5
1 and 5
Answer:
First choice.
Step-by-step explanation:
The x-intercepts happen when y=0.
Just like the y-intercepts happen when x=0.
So anyways we are asked to find the x-intercepts.
So set y=0 (set f(x)=0):
0=x^2+6x+5
0=ax^2+bx+c
Since a=1, all we have to do is find two numbers that multiply to be 5 and add up to be 6.
Those numbers are 5 and 1 because 5(1)=5 and 5+1=6.
So the factored form of x^2+6x+5 is (x+5)(x+1).
The equation we have is:
0=(x+5)(x+1).
This means we have x+5=0 or x+1=0.
We need to solve both equations.
x+5=0
Subtract 5 on both sides:
x=-5
x+1=0
Subtract 1 on both sides:
x=-1
So the x-intercepts are at (-5,0) and (-1,0).
OR
Some people just say at -5 and -1.
Answer:
A. -5 and -1
Step-by-step explanation:
Correct on edge 2021! :)
The art club had a election to select to select a president 9 out of the 12 members of the art club voted in the election .What percentage of the members voted ?
75 percent of the art club members voted in the election.
To calculate the percentage of art club members who voted in the election, use the formula for percentage: part/whole *100. In this case, the part is the number of members who voted, and the whole is the total number of members in the art club.
Here's the step-by-step calculation:
Count the number of members who voted: 9.
Count the total number of members in the art club: 12.
Divide the number of voters by the total number of members: 9 / 12 = 0.75.
Multiply the result by 100 to get the percentage: 0.75 * 100 = 75%.
Therefore, 75 percent of the art club members voted in the election.
I guess this is question that im confused about :]
Answer:
124cm.³
Step-by-step explanation:
V = whl
You will do this: [2][3][8] + [3][4][5]. After finding the volume of both prisms, add them up.
I hope this helps, and as always, I am joyous to assist anyone.
Which of the following functions is graphed below?
Answer:
The function graphed is y = Ix - 5I - 4 ⇒ answer D
Step-by-step explanation:
* Lets explain how to solve this problem
- From the graph
# The graph intersects the x-axis at x = 1 and x = 9
∴ The x-intercepts are 1 and 9
- We can find x-intercept by equate y by 0
* Lets equate the answers by zero to find the x-intercept
# y = Ix + 5I - 4
∵ Ix + 5I - 4 = 0
- Add 4 to both sides
∴ Ix + 5I = 4
- Remember in Ia + bI = c, then we have two answers :
a + b = c OR a + b = -c
∵ Ix + 5I = 4
∴ x + 5 = 4 ⇒ subtract 5 from both sides
∴ x = -1
- OR
∴ x + 5 = -4 ⇒ subtract 5 from both sides
∴ x = -9
∴ The x-intercepts are -1 and -9 not the same with figure
# y = Ix - 5I + 4
∵ Ix - 5I + 4 = 0
- Subtract 4 from both sides
∴ Ix - 5I = -4
- Remember in Ia + bI = c , c can't be negative because the absolute
value is always positive
∴ We can't solve this equation
# y = Ix + 5I + 4
∵ Ix + 5I + 4 = 0
- Subtract 4 from both sides
∴ Ix + 5I = -4
- Remember in Ia + bI = c , c can't be negative because the absolute
value is always positive
∴ We can't solve this equation
# y = Ix - 5I - 4
∵ Ix - 5I - 4 = 0
- Add 4 to both sides
∴ Ix - 5I = 4
- Remember in Ia + bI = c, then we have two answers :
a + b = c OR a + b = -c
∵ Ix - 5I = 4
∴ x - 5 = 4 ⇒ add 5 to both sides
∴ x = 9
- OR
∴ x - 5 = -4 ⇒ add 5 to both sides
∴ x = 1
∴ The x-intercepts are 1 and 9 the same with figure
* The function graphed is y = Ix - 5I - 4
A pyramid has a square base that is 160 m on each side. What is the perimeter of the base in kilometers? Question 19 options:
Answer:
0.64 kilometres
Step-by-step explanation:
Step 1: Find the perimeter in metres
Perimeter of square = 4 x (Length)
Perimeter = 4 (160)
Perimeter = 640 metres
Step 2: Convert from metre to kilometre
1 km = 1000 m
x km = 640 m
Cross multiply
1000x = 640
x = 0.64 kilometres
Therefore, the perimeter of the square base is 0.64 kilometres.
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