Answer:
The correct option is A.
40 + 1.2m > 48
Step-by-step explanation:
Given that Derek is 40 inches in height, and a rollercoaster rider is required to be at least 48 inches. Since he is growing at an 1.2m per month, we want to find how many months, m it will take for him to reach that 48 inches height.
This, we need the height 1.2m to be added to 40 inches to give at least 48 inches.
1.2m + 40 ≥ 48
or
40 + 1.2m ≥ 48
This is the required equation.
Of all the options, option A is the best.
40 + 1.2m > 48
If a variable has a distribution that is bell-shaped with mean 16 and standard deviation 6, then according to the Empirical Rule, 99.7% of the data will lie between which values? g
Answer:
99,7 % of all values will be in the interval ( -2 ; 34)
Step-by-step explanation:
Empirical Rule for the normal distribution with mean X, implies that the intervals :
X ± σ will contain 68 % of all values
X ± 2σ will contain 95 % of all values
X ± 3σ will contain 99,7 % of all values
Therefore in the interval X - 3σ ; X + 3σ
X - 3*6 = X -18 = 16 - 18 = -2
And
X + 3*6 = X + 18 = 16 + 18 = 34
99,7 % of all values will be in the interval ( -2 ; 34)
What’s the correct answer for this question?
Answer:
Step-by-step explanation:
the event of drawing a spade card
Mary can make a costume twice as fast as Sam can can. If they both work together, they can make it in 6 hours. How long will it take Mary to make the costume if she works alone?
Answer:
2 hours
Step-by-step explanation:
Mary=x
Sam=2x
Mary+Sam=3x=6hours
x=2hours
Lucy buys 7kg of nuts to sell.
She pays £10 for the nuts.
Lucy puts all the nuts into bags.
She puts 350g of nuts into each bag.
She then sells each bag of nuts for 75p.
Lucy sells all the bags of nuts.
Work out her percentage profit.
Answer:
Lucy's percentage profit = 33.33% based on Sales Value
and 50% based on Cost.
Step-by-step explanation:
a) Calculations:
7kg = 7,000g of nuts
Cost of 7,000g = £10
350g = 20 bags (7,000/350)
Sales value = £15 (20 x 75p)
Profit = Sales value minus Cost
Profit = £5 (£15 - £10)
Profit percentage based on sales = Profit/Sales x 100 = 5/15 x 100 = 33.33%
Profit percentage based on cost = Profit/Cost x 100 = 5/10 x 100 = 50%
b) Profit is the excess of sales over cost. There are two ways to express it in percentages. Profit can be expressed as a percentage of the cost (Markup). It can also be expressed as the percentage of the sales value (Margin).
Find an equation of the line that has a slope of 2 and a y intercept of 9. Write your answer in the form y=mx+b
Answer:
y = 2x +9
Step-by-step explanation:
The slope-intercept form of the equation of a line is ...
y = mx +b
where m is the slope and b is the y-intercept.
The problem statement tells you m=2 and y=9. Putting these values into the equation form gives ...
y = 2x +9
I need help asaap!!!!
Answer:
Answer choice 3
Step-by-step explanation:
Option 3 is correct one
∠TQS ≅ ∠RSQ
⇒ ΔTQS ≅ ΔRSQ
⇒ QR≅ST and QT≅RS
QRST is parallelogram by definition
Answer:
Option 3
Step-by-step explanation:
Angle TQS is congruent to angle RSQ and can be proved by alternating interior angle theorem.
Triangle TQS is congruent to triangle RSQ.
Line QR is congruent to line ST.
Line QT is congruent to line RS.
If your good at maths help
Answer: 0.2
Step-by-step explanation:
Since the total of the 2 sweets is 1.0, we can subtract to find the probability of orange.
1.0-0.8=0.2
Another way to understand this is that the entire bag is 100% sweets. Since we know that 80% sweets are strawberry flavour, we know that we can subtract 100 and 80 to get 20% orange. That makes 0.2.
Answer:
0.2
Step-by-step explanation:
Sum of all probabilities is 1
If one of components is 0.8, then the other one will be 1- 0.8= 0.2
3.
QR
find the arc length
02.83
021.99
O 12.57
0 34.56
A culture started with 5,000 bacteria. After 7
hours, it grew to 6,500 bacteria. Predict how
many bacteria will be present after 19 hours.
Round your answer to the nearest whole
number
Answer:
~9071
Step-by-step explanation:
A culture started with 5,000 bacteria.
After 7 hours, it grew to 6,500 bacteria.
=> The number of bacteria that grew after 7 hours: 6500 - 5000 = 1500
=> The number of bacteria that will grow after 19 hours: 1500 x 19/7 = ~4071
=> The number of bacteria that will present after 19 hours:
N = 5000 + 4071 = ~9071
Hope this helps!
Answer:
10,200
Step-by-step explanation:
A runner travels 8 blocks north and 15 blocks east. How far is the runner from her starting point?
Answer:
23 blocks
Step-by-step explanation:
add..........
A stuffed animal business has a total cost of production C=12x+30 and a revenue function R=20x. Find the break-even point and express it as an ordered pair in the form (x,y).
Answer:
The break-even point is when x is equal to 3.75
Step-by-step explanation:
At the break-even point, total cost function is equal to the total revenue function. In that regard, break-even is when;
C = 12x + 30 is equal to R = 20x.
thus, 12x + 30 = 20x
then, 12x - 12x + 30 = 20x - 12x
therefore, 30 = 8x
then, 30/8 = 8x/8
finally, x = 15/4 or 3.75
A stuffed animal business has a total cost of production C=12x+30 and a revenue function R=20x, the Break even point is (3.75,75)
Given :
A stuffed animal business has a total cost of production C=12x+30 and a revenue function R=20x.
Break even point occurs when revenue = cost
R=C
Replace the expression and solve for x
[tex]R=C\\20x=12x+30\\20x-12x=30\\8x=30\\divide \; by \; 8\\x=\frac{15}{4}\\x=3.75[/tex]
Now we find out y using Revenue
[tex]R= 20x\\R=20(3.75)\\R=75[/tex]
So y is 75
Break even point is (3.75,75)
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What is the probability that the hand is a two of a kind? A two of a kind has two cards of the same rank (called the pair). Among the remaining three cards, not in the pair, no two have the same rank and none of them have the same rank as the pair. For example, {4♠, 4♦, J♠, K♣, 8♥} is a two of a kind.
Question:
A 5-card hand is dealt from a perfectly shuffled deck of playing cards.
What is the probability that the hand is a two of a kind?
A two of a kind has two cards of the same rank (called the pair). Among the remaining three cards, not in the pair, no two have the same rank and none of them have the same rank as the pair. For example, {4♠, 4♦, J♠, K♣, 8♥} is a two of a kind.
Answer:
P(two of a kind) = 42.3%
Step-by-step explanation:
The probability that the hand is a two of a kind is given by
P(two of a kind) = No. of ways to produce two of a kind/Total no. of ways to deal 5-hand cards
There are total 52 cards in a standard deck of playing cards.
Total number of ways to deal 5-card hand is given by
Total number of ways = ₅₂C₅
Total number of ways = 2595960
So there are 2595960 different ways of dealing 5-card hands
Now we will find out the number of ways to produce two of a kind.
The number of ways to select the rank of two matching cards is given by
Rank of matching cards = ₁₃C₁ = 13
Since the matching cards must be of same rank.
The number of ways to select the rank of remaining 3 cards is given by
Rank of remaining 3 cards = ₁₂C₃ = 220
Since the remaining ranks are now 12.
The number of ways to select the suits of two matching cards is given by
Suits of two matching cards = ₄C₂ = 6
The number of ways to select the suits of 1st non-matching card is given by
Suits of 1st non-matching card = ₄C₁ = 4
The number of ways to select the suits of 2nd non-matching card is given by
Suits of 2nd non-matching card = ₄C₁ = 4
The number of ways to select the suits of 3rd non-matching card is given by
Suits of 3rd non-matching card = ₄C₁ = 4
Finally, the probability is
P(two of a kind) = No. of ways to produce two of a kind/Total no. of ways to deal 5-hand cards
P(two of a kind) = (₁₃C₁ × ₁₂C₃ × ₄C₂ × ₄C₁ × ₄C₁ × ₄C₁) / ₅₂C₅
P(two of a kind) = (13 × 220 × 6 × 4 × 4 × 4) / 2595960
P(two of a kind) = 1098240/2595960
P(two of a kind) = 0.423
P(two of a kind) = 42.3%
Find the circumference and the area of a circle with diameter 7 cm.
Use the value 3.14 for n, and do not round your answers. Be sure to include the correct units in your answers.
Circumference: 0
cm
7 cm
Area:
X
Answer:
21.98 is the circumference because is it 7 pi 7 times 3.14. For the area though it is 38.48 because you need to get the radius of the circle and you divided 7 by 2 which is 3.5 and here is the work A=πr2=π·3.52≈38.48451
Step-by-step explanation:
Hope this helped and you understood if you want it would help a lot if you put it brainliest.
The table shows the heights of the winners and runners-up of 8
presidential elections. Find the line of regression that predicts the
runner-up's height given the winner's height. Determine if the
regression line is a good predictor of heights for the winners and
runner-ups of presidential elections.
Winner
69.5
73
73
74
74.5
74.5
71
71
Runner-Up
72
69.5
70
68
74
74
73
76
Answer:
The table shows the heights of the winners and runner-ups of 8 presidential elections. Find the line of regression that predicts the runner-up's height given the winner's height. Determine if the regression line is a good predictor of heights for the winners and runner-ups of presidential elections.
Winner: 69.5; 73; 73; 74; 74.5; 74.5; 71; 71
Runner-Up: 72; 69.5; 70; 68; 74; 74; 73; 76
a. y = 95.4 - 0.321x; no, because the r-value is low.***
b. y = -0.321 + 95.4x; no, because the r-value is low.
The regression line is NOT a good predictor of heights for the winners and runner-ups of presidential elections because the r-value is low
Calculations and Parameters:Given that:
The data given for the winners are:
69.5; 73; 73; 74; 74.5; 74.5; 71; 71
The runners up are:
72; 69.5; 70; 68; 74; 74; 73; 76
With this, we can see that a. y = 95.4 - 0.321x; no, because the r-value is low.
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Isaac is organizing a 5-kilometer road race. The safety committee
recommends having a volunteer every 1 of a kilometer and at
the finish.
| Are 10 volunteers enough?
Answer:
10 volunteers are more than recommendedStep-by-step explanation:
The recommended number of volunteers is five (5)
Since the the distance of the race is 5km,
and the safety committees recommends 1 volunteer per kilometre.
Hence ten (10) volunteers is more than enough
In a 30 degree, 60 degree, 90 degree triangle shortest side is 9. Find the lengths of the other sides
Answer:
To find the second-shortest side we'll multiply 9 by √3 which is 9√3 and for the hypotenuse we'll do 9 * 2 = 18.
(Please hurry)
Explain how to find the value of x
Answer:
96
Step-by-step explanation:
Exterior angles add up to 360
360 - 134-130 = 96
x = 96
If right triangle ABC below was rotated around side AB, which solid would be produced?
Answer: Option 3.
Step-by-step explanation:
A rotation around the side AB, means that the side AB remains fixed in the place, and we rotate the vertex C creating in this way a solid figure.
Now, this figure will Create a cone with height AB, and where the radius of the base will be BC. (Where AB is the length of the side AB in the original triangle, and BC is the length of the side BC on the original triangle)
The correct option is option 3.
The marginal profit in dollars on Brie cheese sold at a cheese store is given by P'(x)=x(60x^2+30x), where x is the amunt of cheese sold, in hundreds of pounds. The "profit" is -$80 when no cheese is sold.a. Find the profit functionb. Find the profit from selling 200lbs of Brie Cheese
Answer:
a) [tex]P(x) = 15x^{4} + 10x^{3} - 80[/tex]
b) The profit from selling 200lbs of Brie Cheese is $240.
Step-by-step explanation:
a. Find the profit function
We have that:
[tex]P'(x) = 60x^{3} + 30x^{2}[/tex]
The profit function is P(x), which is the integral of P'(x).
So
[tex]P(x) = \int {P'(x)} \, dx = \int {60x^{3} + 30x^{2}} \, dx = \frac{60x^{4}}{4} + \frac{30x^{3}}{3} + K = 15x^{4} + 10x^{3} + K[/tex]
There, I applied the integral rules of sum and power.
Since P(0) = -80, K = -80
Then
[tex]P(x) = 15x^{4} + 10x^{3} - 80[/tex]
b. Find the profit from selling 200lbs of Brie Cheese
200 lbs is 200/100 = 2 hundreds of pounds.
So this is P(2).
[tex]P(x) = 15x^{4} + 10x^{3} - 80[/tex]
[tex]P(2) = 15*2^{4} + 10*2^{3} - 80[/tex]
[tex]P(2) = 240[/tex]
The profit from selling 200lbs of Brie Cheese is $240.
Solve the given initial value problem. y triple prime plus 11 y double prime plus 38 y prime plus 40 y equals 0y′′′+11y′′+38y′+40y=0 y (0 )equals 0y(0)=0, y prime (0 )equals negative 19y′(0)=−19, y double prime (0 )equals 117
The linear homogeneous ODE
[tex]y'''+11y''+38y'+40y=0[/tex]
has characteristic equation
[tex]r^3+11r^2+38r+40=0[/tex]
which factors to
[tex](r+2)(r+4)(r+5)=0[/tex]
and hence has roots at [tex]r=-2,-4,-5[/tex]. So the characteristic solution to the ODE is
[tex]y_c=C_1e^{-2x}+C_2e^{-4x}+C_3e^{-5x}[/tex]
Use the given initial conditions to solve for each C.
[tex]y(0)=0\implies C_1+C_2+C_3=0[/tex]
[tex]y'(0)=-19\implies -2C_1-4C_2-5C_3=-19[/tex]
[tex]y''(0)=4C_1+16C_2+25C_3=117[/tex]
[tex]\implies C_1=-9,C_2=8,C_3=1[/tex]
so that the particular solution is
[tex]\boxed{y(x)=-9e^{-2x}+8e^{-4x}+e^{-5x}}[/tex]
The graph of an absolute value function has a
vertex at (-2,3) and passes through the point (-1,
0). Using transformations of the parent function,
has the graph been dilated by a scale factor other
than 1? Explain
Answer:
Yes. The graph of the parent function has been dilated by a scale factor other than 1.
Step-by-step explanation:
Let the parent function of the absolute value function is,
f(x) = |x|
This function passes through (0, 0) and slope = 1 or -1.
After transformation vertex (0, 0) becomes (-2, 3) and a point through which this function passes through is (-1, 0)
Slope of the function = [tex]\frac{3-0}{-2+1}[/tex]
= -3
Since slope of the transformed function is less than the parent function. (-3 < -1)
Therefore, parent function will be dilated by a scale factor other than 1.
Answer:
edge answer
Step-by-step explanation:
Yes, the graph has been dilated.
Using the standard form of the equation, substitute in the values: h = –2, k = 3, x = –1, and y = 0.
Solve the equation to get a = –3.
Graphically, the parent function follows the pattern of right 1, up 1. Moving 1 unit to the right from the vertex, you can move down 3 units to get to the point (–1, 0), so it has been horizontally compressed.
Zed went to the store and bought a bag of chips. He estimated there would 1 point
be 350 chips in the package, but realized there were only 210 chips in that
package. What was his percent error?'
Answer:
66.67%
Step-by-step explanation:
They do not say that I estimate a value of 350 chips but in reality there were 210 chips in total, we have that the error formula is:
Percentage error (%) = (estimated value - actual value) / actual value × 100 (in absolute value)
replacing:
Percentage error (%) = | 350 - 210 | / 210 × 100
Percentage error (%) = 140/210 * 100
Percentage error (%) = 66.67
Which means that the percentage error is 66.67%
8. 3/4 is expressed as a percentage is
Answer:
75%
Step-by-step explanation:
Divide 3 by 4 to get 0.75. Round to 75%.
Answer:
75%
Step-by-step explanation:
Divide 3 by 4 to get 0.75 and multiply by 100 to convert from a decimal to a percentage. The answer will be 75%.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
8x - 4 < - 12 or 8x + 7 >23 i need help to find answer
Answer:
x>4/3 and x<1
Step-by-step explanation:
8x-4 < -12
8x<-12+4
x<8/8
x<1
8x+7> 23
8x>23-7
x>12/8
simplify : x>4/3
In a grinding operation, there is an upper specification of 3.150 in. on a dimension of a certain part after grinding. Suppose that the standard deviation of this normally distributed dimension for parts of this type ground to any particular mean dimension LaTeX: \mu\:is\:\sigma=.002 μ i s σ = .002 in. Suppose further that you desire to have no more than 3% of the parts fail to meet specifications. What is the maximum (minimum machining cost) LaTeX: \mu μ that can be used if this 3% requirement is to be met?
Answer:
Step-by-step explanation:
Let X denote the dimension of the part after grinding
X has normal distribution with standard deviation [tex]\sigma=0.002 in[/tex]
Let the mean of X be denoted by [tex]\mu[/tex]
there is an upper specification of 3.150 in. on a dimension of a certain part after grinding.
We desire to have no more than 3% of the parts fail to meet specifications.
We have to find the maximum [tex]\mu[/tex] such that can be used if this 3% requirement is to be meet
[tex]\Rightarrow P(\frac{X- \mu}{\sigma} <\frac{3.15- \mu}{\sigma} )\leq 0.03\\\\ \Rightarrow P(Z <\frac{3.15- \mu}{\sigma} )\leq 0.03\\\\ \Rightarrow P(Z <\frac{3.15- \mu}{0.002} )\leq 0.03[/tex]
We know from the Standard normal tables that
[tex]P(Z\leq -1.87)=0.0307\\\\P(Z\leq -1.88)=0.0300\\\\P(Z\leq -1.89)=0.0293[/tex]
So, the value of Z consistent with the required condition is approximately -1.88
Thus we have
[tex]\frac{3.15- \mu}{0.002} =-1.88\\\\\Rrightarrow \mu =1.88\times0.002+3.15\\\\=3.15[/tex]
8 cm
10 cm
The surface area of the above figure is
A. 816.8 cm2
B. 879.6 cm2
C. 565.5 cm2
D. 1131.0 cm
Hi there u have not given us the figure please correct the answer and I will send my answer.Is it a cylinder cuboid cube or?
A federal bank examiner is interested in estimating the mean outstanding defaulted loans balance of all defaulted loans over the last three years. A random sample of 10 defaulted loans yielded a mean of $60,850 with a standard deviation of $16,100.22. Calculate a 90 percent confidence interval for the mean balance of defaulted loans over the past three years.
Answer: = ( $52,474.75 , $69,225.25)
Therefore at 90% confidence interval = ( $52,474.75 , $69,225.25)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = $60,850
Standard deviation r = $16,100.22
Number of samples n = 10
Confidence interval = 90%
z(at 90% confidence) = 1.645
Substituting the values we have;
60,850+/-1.645(16,100.22/√10)
60,850+/-1.645(5091.336602979)
60,850+/-8375.248711901
$60,850+/-8375.248711901+/- $8375.25
= ( $52474.75 , $69225.25)
Therefore at 90% confidence interval = ( $52474.75 , $69225.25)
Simplify this equation x2-5x-36
Answer:
[tex]=\left(x+4\right)\left(x-9\right)[/tex]
Step-by-step explanation:
[tex]x^2-5x-36\\\mathrm{Break\:the\:expression\:into\:groups}\\=\left(x^2+4x\right)+\left(-9x-36\right)\\\mathrm{Factor\:out\:}x\mathrm{\:from\:}x^2+4x\mathrm{:\quad }x\left(x+4\right)\\\mathrm{Factor\:out\:}-9\mathrm{\:from\:}-9x-36\mathrm{:\quad }-9\left(x+4\right)\\=x\left(x+4\right)-9\left(x+4\right)\\\mathrm{Factor\:out\:common\:term\:}x+4\\=\left(x+4\right)\left(x-9\right)[/tex]
The two-way frequency table below shows the preferred communication method of employees at a company, based on years of employment with the company. Text Message Instant Message Phone Call Email Total 0 to 7 years 36 49 8 21 114 8 or more years 12 22 19 43 96 Total 48 71 27 64 210 What percentage of employees with 8 or more years at the company reported that email is their preferred method of communication? A. 44.79% B. 20.48% C. 48.84% D. 67.19%
Answer:
The percentage of employees with 8 or more years at the company that reported that email is their preferred method of communication is 30.48%. I suppose there was a small typing mistake in option B.
Step-by-step explanation:
The proportion is the number of desired outcomes divided by the number of total outcomes.
The percentage is the proportion multiplied by 100.
In this question:
210 employees with 8 of more year.
Of those, 64 have the email as their preferred method of communication.
64/210 = 0.3048
0.3048*100 = 30.48%
The percentage of employees with 8 or more years at the company that reported that email is their preferred method of communication is 30.48%. I suppose there was a small typing mistake in option B.
In this exercise we have to use the percentage knowledge to calculate the number of employees of the company over the years, in this way we find that this corresponds to:
The percentage of employees with 8 or more years at the company that reported that email is their preferred method of communication is 67,9%. Is D.
They are using the data informed in the text, we have:
210 employees with 8 of more year. Of those, 64 have the email as their preferred method of communication.
So doing the percentage calculation we have that;
[tex]210-64=146\\(146*100)/210=67,19\%[/tex]
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Simplify the expression. (-3 + 6i)(-3 + 5i)
Answer:
When we expand we get -9 - 33i + 30i². Since i² = -1 we can write this as -9 - 33i + 30 * (-1) = -9 - 33i - 30 = -33i - 39.
Answer:
-21-33i
Step-by-step explanation:
(-3+6i)(-3+5i)=9-15i-18i+30i²=9-33i+30(-1)=-21-33i