Answer:
x = 229
Step-by-step explanation:
x = 467 - 238
x = 229
Which sets does 4.3333333333 belong to?
rational and real numbers
irrational and whole numbers
rational and natural numbers
integers and irrational numbers
The decimal number 4.3333333... is a rational and real number. Then the correct option is A.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The decimal number is given below.
⇒ 4.333....
Let x = 4.333333333.., then 10x = 43.33333333...
10x - x = 43.33333.. - 4.333333...
9x = 39
x = 39/9
x = 13/3
The decimal number 4.3333333... is a rational and real number. Then the correct option is A.
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Answer:
Step-by-step explanation:
he's correct trust him The decimal number 4.3333333 is a rational and real number. Then the correct option is A.
Angle F and angle G are complementary. Angle F measures (2x+7) and angle G measure 18 find the value of X and the measure of each angle.
Step-by-step explanation:
Complementary means they sum to 90 degrees.
Complementary means they sum to 90 degrees.
Thus F + G = 90.
Complementary means they sum to 90 degrees.
Thus F + G = 90.
Substituting the values in, we have:
Complementary means they sum to 90 degrees.
Thus F + G = 90.
Substituting the values in,
we have:2x + 7 + 18 = 90
Complementary means they sum to 90 degrees.
Thus F + G = 90.Substituting the values in,
we have:2x + 7 + 18 = 902x + 25 = 90
Complementary means they sum to 90 degrees.Thus F + G = 90.Substituting the values in, we have:2x + 7 + 18 = 902x + 25 = 902x = 65
Complementary means they sum to 90 degrees.Thus F + G = 90.Substituting the values in, we have:2x + 7 + 18 = 902x + 25 = 902x = 65x = 32.5
Complementary means they sum to 90 degrees.Thus F + G = 90.Substituting the values in, we have:2x + 7 + 18 = 902x + 25 = 902x = 65x = 32.5
Angle F = 72 degrees
Complementary means they sum to 90 degrees.Thus F + G = 90.Substituting the values in, we have:2x + 7 + 18 = 902x + 25 = 902x = 65x = 32.5Angle
F = 72 degrees Angle G = 18 degrees
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What is the value of b?
10
16
20
26
Answer:
the value of b is 10 +151620 but we have; to check
The value of b in the equation is 13/12
How to determine the value of bFrom the question, we have the following parameters that can be used in our computation:
x^2/24 - y^2/b^2 = 1
The equation of a hyperbola with center at the origin and semi-axes lengths a and b can be written as:
x^2/a^2 - y^2/b^2 = 1
Comparing this equation with the given equation, we have:
a^2 = 24.
The directrix of the hyperbola is given as
x = 576/26
For a hyperbola with center at the origin, the distance between the center and the directrix is a^2/b.
So, we have:
a^2/b = 576/26
Substituting the value of a^2, we get:
24/b = 576/26
So, we have
b = 13/12
Hence, the value of b is 13/12
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Consider an investment of $2800 at an APR of 5% compounded monthly. Use the formula that gives the exact doubling time to determine exactly how long it will take for the investment to double.
Express your answer in terms of the number of whole years and remaining months it will take the investment to double. Give your answers as whole numbers.
It will take {log(1 - r/n)/n} years to exactly double your investment.
What is the formula to calculate compound interest?The formula for compound interest is -
[tex]$A = P(1 + \frac{r}{n})^{nt}[/tex]
Given is that an investment of $2800 made at an APR of 5% compounded monthly.
The formula for compound interest is -
[tex]$A = P(1 + \frac{r}{n})^{nt}[/tex]
For A = 2P, we can write -
Substituting 2P = A, we get -
2P = P(1 + r/n)^nt
2 = (1 + r/n)^nt
log 2 = log {(1 + r/n)^nt}
log 2 = (nt) log(1 + r/n)
(log 2)/log(1 + r/n) = nt
{t} = log{2 - 1 - r/n}/n
{t} = log{1 - r/n}/n
Therefore, it will take {log(1 - r/n)/n} years to exactly double your investment.
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In one year, 30,000 sheep on his property in the next year because of the drought the farmer reduced his flock by 37% The number of sheep he has after the fall in numbers is
Answer:
11,100
Step-by-step explanation:
1% of 30,000 is 300 so if we times 300 by 37 we get 11,100
there is 11,100 sheep in 37%.
hope this helps :)
J
14
20
K
22.4
AKLS-
T
32
L
Similar By:
S
Determine if the triangles are similar. If similar.state how and complete the similarity statement
The triangles JTK and KSL are not congruent. So we cannot complete a similarity statement.
what is congruent ?
In geometry, two figures are said to be congruent if they have the same shape and size. In other words, if all corresponding angles are congruent and all corresponding sides are of equal length, then the two figures are congruent.
For example, two triangles are congruent if all three pairs of corresponding angles are congruent and all three pairs of corresponding sides are of equal length. Similarly, two circles are congruent if they have the same radius.
According to the question:
To determine if the triangles JTK and KSL are similar, we need to check if their corresponding angles are congruent and their corresponding sides are in proportion.
First, we can see that angle JTK and angle KSL are congruent because they are both right angles.
Next, we can use the Pythagorean theorem to find the length of side TK:
[tex]TK^2 = JK^2 - JT^2[/tex]
[tex]TK^2 = 14^2 - 2^2[/tex]
[tex]TK^2 = 192[/tex]
TK = sqrt(192)
TK = 8*sqrt(3)
Now, we can compare the ratios of the corresponding sides to see if they are equal:
JT : JK : TK = 2 : 14 : 8*sqrt(3)
KS : KL : SL = 32 : 22.4 : 15.2
We can simplify these ratios by dividing by the greatest common factor, which is 2:
JT : JK : TK = 1 : 7 : 4*sqrt(3)
KS : KL : SL = 8 : 5.6 : 3.8
We can see that these ratios are not equal. Therefore, the triangles JTK and KSL are not similar.
Since the triangles are not similar, we cannot complete a similarity statement.
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Tree Diagrams
'daT vo
1. A family has four children. How many outcomes are in the sample space that indicates the sex of the children?
Assume that the probability of male (M) and the probability of female (F) are each 1/2. Use a tree diagram to model this situation:
Child 1
Child 2
Child 3
Child 4
Possible Outcomes
2. What is the probability that all children are males?
3. What is the probability that they will have all one gender of children (all males or all females)?
4. What is the probability that there will be at least 2 female children?
5. You are bored and decide to flip a coin, then roll a 6 sided die, then flip a coin, then roll a 3-sided die. Create a tree diagram to model all possible outcomes
6. How many possible outcomes are there?
7. What is the probability of getting only heads on both coin tosses?
The total possible outcomes is 16, the probability that all children are males is 1/16, the probability of having all one gender is 1/8
What is the possible outcomes1. The tree diagram for the sex of the children is as follows:
Child 1: M / F
Child 2: M / F
Child 3: M / F
Child 4: M / F
Possible Outcomes: MMMM, MMMF, MMFM, MFMF, FMFM, FMMF, FMFF, FFFF
There are 2 options for each child, so the total number of possible outcomes is 2 x 2 x 2 x 2 = 16.
2. The probability that all children are males is 1/2 x 1/2 x 1/2 x 1/2 = 1/16.
3. The probability of having all one gender of children is the sum of the probability of having all boys and the probability of having all girls. Each of these outcomes has a probability of 1/16, so the total probability is 1/16 + 1/16 = 1/8.
4. The easiest way to solve this problem is to find the probability of having no female children, and then subtract that from 1. The probability of having no female children is (1/2)^4 = 1/16, so the probability of having at least 2 female children is 1 - 1/16 - 1/16 = 7/8.
5. The tree diagram for flipping a coin, rolling a 6-sided die, flipping a coin, and rolling a 3-sided die is as follows:
C / H
/
1-6 1-3
\ /
H / T
The first branch represents the coin flip, the second branch represents the roll of the 6-sided die, the third branch represents the second coin flip, and the fourth branch represents the roll of the 3-sided die.
6. There are 2 options for the first coin flip, 6 options for the second branch, 2 options for the second coin flip, and 3 options for the fourth branch, so the total number of possible outcomes is 2 x 6 x 2 x 3 = 72.
7. The probability of getting only heads on both coin tosses is 1/2 x 1/2 = 1/4. Therefore, the probability of getting only heads on both coin tosses and any result on the dice is 1/4 x 1 = 1/4.
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Mr. Shaw is building a walk away from the corner of his house out to his vegetable garden in the corner of the yard. The dimensions of the yard and the garden are shown. What is the length of the walkway, w, to the nearest foot?
A 24 foot
B 34 foot
C 46 foot
D 58 foot
Ummi chose C as the correct answer. How might she had gotten that answer?
Answer:
34 Foot
Step-by-step explanation:
You're basically just doing the pythagorean theory: a^2+b^2=c^2
You just are not directly being given a or b and instead you have to find them which you do by subtracting how big the garden is from the total length: 50-20=30(a) 30-14=16(b). After that you just do the normal theory getting 30^2+16^2=c^2 which leads to 900+256=c^2 then 1156=c^2 so you take the square root of both sides in order to turn c^2 into plain c or the length of the walk way which will get you 34 feet.
The number of pizzas a restaurant can make varies directly with the amount of time the restaurant is open.
The two correct options for time and work problem are: (a) and (d)
(a) The restaurant can make 24 pizzas in 5 hours
(d) The restaurant can make 48 pizzas in 10 hours
What is time and work in mathematics?Time and work are fundamental to how work is done at the moment. The time and work problem gives us the exact relationship between workers and the number of days and hours it takes to complete a task.
Solution according to the question:
Given, the restaurant can make 12 pizzas in 2.5 hours
So, when we double the time of work, the number of pizzas will also be doubled, i.e
24(12×2) pizzas in 5(2.5 ×2), hence option (a) correct.
Also, 10 hours is four times of 2.5 hours.
Thus, in 10 hours the restaurant will make 48 pizzas, so option (d) is the other correct option.
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the box and whisker plots below show the average monthly temperature for Mexico City, Mexico, and Shanghai, china, in degrees Fahrenheit
The percentage of temperatures for Shanghai between 46ºF and 78ºF is given as follows:
50%.
What does a box-and-whisker plot shows?A box and whisker plots shows these five features from a data-set, listed as follows:
The minimum non-outlier value.The 25th percentile, which is the median of the bottom 50%.The median, which splits the entire data-set into two halfs, the bottom 50% and the upper 50%.The 75th percentile, which is the median of the upper 50%.The maximum non-outlier value.For Shanghai, the quartiles are given as follows:
Q1 = 46, Q3 = 78.
Hence the temperatures between 46 and 78ºF represent the interquartile range, containing the middle 50% of observations.
Missing InformationThe problem is given by the image presented at the end of the answer.
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what is the answer i’m lost
Note that where the conditions above subsist the height determined by the other colleague is not the same so the answer is No. To solve this problem, you need to be conversant with the Pythagorean Theorem, and Angle Bisector Theorems.
What does the Pythagorean Theorem say?
The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
The formula for the Pythagorean Theorem is:
c² = a² + b²
where "c" represents the length of the hypotenuse and "a" and "b" represent the lengths of the other two sides (the legs) of a right triangle.
With this, we can find the c for the lower Right angle triangle on the left and B for the lower right angle triangle on the right.
Since C² = A² + B²
B = √( A²- C²)
B = √( 9.5²- 6²)
B [tex]\approx[/tex] 7.36546
To determine c on the right angle to the left,
c² = a² + b²
c = √(a² + b²)
c = √(5.5² + 7.2²)
c = 9.060353194
c [tex]\approx[/tex] 9.06
With the postulate of the Angle Bisector Theorem, we can begin to find the height of the two upper right angle triangles.
The Angle Bisector Theorem states that in a triangle, an angle bisector of a vertex of the triangle divides the opposite side into two segments that are proportional to the lengths of the other two sides.
In other words, if a line segment bisects an angle of a triangle and intersects the opposite side or the extension of the opposite side, then the ratio of the lengths of the segments on the opposite side is equal to the ratio of the lengths of the other two sides of the triangle.
As seen from the image, the right angles where each lady is holding is bisected. This means that we have for each Triangle Two angles and one side.
Right Angle on the Left:
90°
45°; and
7.2ft
Given the above, Since the angle opposite the height is 45 degrees, we know that the ratio of the height to the base is 1:1, or h/7.2 = 1/1.
Therefore, the height of the right triangle is:
h = 7.2 × 1
h = 7.2 ft
So the height of the right triangle is 7.2 feet.
Right Angle on the Right :
90°
45°; and
7.36546ft
Given the above, we can use the trigonometric ratios of the angles in the right triangle.
Since the angle opposite the height is 45 degrees, we know that the ratio of the height to the base is 1:1, or h/7.36546 = 1/1.
Therefore, the height of the right triangle is:
h = 7.36546 × 1
h = 7.36546 ft
So the height of the right triangle is 7.36546 feet.
So both heights approximated to the nearest tenth:
Since 7.2 ≠ 7.4, the heights are not equal.
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the wind speed y (in miles per hour) of a tropical storm is y = 2x + 66, where x is the same number of hours after the storm enters the gulf of mexico "15 by 15 graph first quadrant" A: Complete the table (show work) B: Graph the equation C: When does the storm become a hurricane
Answer:
Step-by-step explanatio
A. To complete the table, we need to plug in different values of "x" into the equation y = 2x + 66 and solve for "y". We can choose any values of "x", but it's usually helpful to choose values that are easy to calculate. Here's the table with "x" values ranging from 0 to 7:
x y
0 66
1 68
2 70
3 72
4 74
5 76
6 78
7 80
B. To graph the equation, we can plot the points from the table on a coordinate plane. We can use the x-axis to represent the number of hours after the storm enters the Gulf of Mexico (x), and the y-axis to represent the wind speed in miles per hour (y). The points should fall on a straight line with a slope of 2 and a y-intercept of 66. We can plot the points and draw the line as follows:
C. The wind speed of a tropical storm becomes a hurricane when it reaches or exceeds 74 miles per hour. Looking at the graph, we can see that the wind speed reaches 74 miles per hour when x = 4. Therefore, the storm becomes a hurricane 4 hours after entering the Gulf of Mexico.
Help meeee! Please I need help
Answer:
D
Step-by-step explanation:
3.5 is changing for every trophy I order so it has a variable. For example say I want 3 trophies each trophy is 3.50 substitute 3 for x. 3.50(3) and that would give me the cost for 3 trophies same thing for the 7.50. The initial fee (you only pay the initial fee once) for company p is 25. The initial fee for company R is 17. At the end the question asks for the inequality so that company p is less than(<) company R. The only inequality that fits this is D.
Hope this helps :-)
PQRS is a rectangle. PR = 26. What is the value of x? *
not all multiple choice is show
The value of X from the given rectangular figure above would be = 6.5. That is option A.
What is a rectangle?A rectangle can be defined as a quadrilateral that has four sides, four vertices, and four angles.
In a rectangle, when two diagonal line divides it, the two diagonals are of the same length.
That is;
Line PR = Line SQ
Half of PR = ER
Half of SQ = QE
But QE = 2x
PR = 26
QE = 1/2 × 26 = 2x
13= 2x
X = 13/2
X= 6.5
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Segments SQ, SU, and QU are tangent to the circle. Segment RQ measures 15 cm, segment ST measures 4 cm, and segment VU measures 25 cm. What is the perimeter of triangle QSU?
The perimeter of the triangle QSU is 88 cm.
What is Perimeter?Perimeter of a straight sided figures or objects is the total length of it's boundary.
Given a circle.
And there are three tangents drawn intersecting the circle at points R, T and V.
We have the circle theorem that the tangents that meet at the same point are equal in length.
Using the theorem,
SR = ST
RQ = VQ
TU = VU
We have, segment RQ measures 15 cm, segment ST measures 4 cm, and segment VU measures 25 cm.
So, SR = ST = 4 cm
TU = VU = 25 cm
VQ = RQ = 15 cm
Perimeter of ΔQSU = (2 × 4) + (2 × 25) + (2 × 15) = 88 cm
Hence the perimeter is 88 cm.
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For what value of n does (1/36)n=216 ?
Responses
-3
-3/2
3/2
3
The value of n for the equation (1/36)n= 216 is -1.5.
The following equation is solved by the use of exponent power rule.
The step by step explanation is given below:
convert the fraction into negative exponential form,
(36∧-1)n=216
simplify using the exponent power rule,
(a∧n)∧m = a∧n×m
Covert both sides of the equation in terms with the same base,
(6 ∧2)∧-n = 6 ∧3
Simplify the equation ,
6∧2.-n = 6∧3
Corresponding exponents are equal to ,
-2n = 3
Divide both side of the equation by 2 ,
-n= 3/2
n= - 3/2.
Therefore n = -1.5.
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Siegell's Locksmith Shop is taking out a mortgage on a new building. It is going to be an interest-only, 12-year balloon mortgage for $350.000. The APR is 3.35%. The last payment will be the balloon payment of the full
principal.
a. Find the total number of monthly payments, not including the final balloon payment.[
b. Find the amount of each monthly payment if the payments are interest-only. Round to the nearest cent
c. Find the difference between the regular monthly payment and the balloon payment, to the nearest hundred dollars.
d. If the mortgage was not a balloon mortgage, what would be the amount of the monthly payment, rounded to the nearest cent?
Monthly payment is $973.52, difference is $349,000 and monthly payment for a fully amortizing mortgage would be $3,331.87.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
To find the total number of monthly payments, we need to multiply the number of years by 12 (the number of months in a year) and subtract 1 (for the final balloon payment).
So the total number of monthly payments is:
12 x 12 - 1 = 143
b. To find the amount of each monthly payment, we can use the formula
First, we need to convert the APR to a monthly interest rate by dividing by 12:
Monthly Interest Rate = 0.0335 / 12 = 0.002792
Monthly Payment = (350000 x 0.002792) / (1 - (1 + 0.002792)⁻¹⁴³)
= $973.52
The monthly payment is $973.52.
c. The balloon payment is simply the full principal amount of $350,000. The difference between the regular monthly payment and the balloon payment is:
Balloon Payment - Monthly Payment = $350,000 - $973.52 = $349,026.48
The difference is $349,000.
d. To find the monthly payment for a 12-year, fully amortizing mortgage, we can use the same formula as in part b, but with a different Total Number of Payments:
Total Number of Payments = 12 x 12 = 144
Monthly Payment = (350000 x 0.002792) / (1 - (1 + 0.002792)⁻¹⁴⁴) = $3,331.87
The monthly payment for a fully amortizing mortgage would be $3,331.87.
Hence, monthly payment is $973.52, difference is $349,000 and monthly payment for a fully amortizing mortgage would be $3,331.87.
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A vending machine has 6 different colors of gumballs (red, blue, pink, yellow, green, purple) and an equal chance of dispensing each. Martin buys 6 gumballs. What is the probability of Martin getting exactly 3 pink gumballs?
The prοbability οf Martin getting exactly 3 pink gumballs οut οf 6 is apprοximately 0.1608 οr 16.08%.
What is prοbability?Prοbability is a measure οf the likelihοοd οr chance οf an event οccurring. It is expressed as a number between 0 and 1, with 0 indicating an impοssible event and 1 indicating a certain event. The prοbability οf an event can be calculated by dividing the number οf favοrable οutcοmes by the tοtal number οf pοssible οutcοmes.
In the given scenariο, there are 6 different cοlοrs οf gumballs, and each has an equal chance οf being dispensed. Therefοre, the prοbability οf getting any particular cοlοr is 1/6.
Tο find the prοbability οf Martin getting exactly 3 pink gumballs οut οf 6, we need tο use the binοmial prοbability fοrmula:
[tex]\mathrm{P(X=k) = C(n,k) \times p^k \times (1-p)^{(n-k)}}[/tex]
where:
P(X=k) is the prοbability οf getting exactly k successes
n is the tοtal number οf trials (in this case, 6)
k is the number οf successes we want (in this case, 3)
p is the prοbability οf success (in this case, the prοbability οf getting a pink gumball, which is 1/6)
C(n, k) is the number οf cοmbinatiοns οf n things taken k at a time, which can be calculated as n! / (k! × (n-k)!).
Plugging in the values, we get:
P(X=3) = C(6,3) × (1/6)³ × (5/6)³
= (6! / (3! × 3!)) × (1/6)³ × (5/6)³
= 20 × (1/216) × (125/216)
= 0.1608
Therefοre, the prοbability οf Martin getting exactly 3 pink gumballs οut οf 6 is apprοximately 0.1608 οr 16.08%.
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need help i dont understand
We can conclude that ∠BDC is congruent to ∠BAC and ∠BEC.
What is circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point known as the centre.
Given is a circle as shown in the image.
The triangles are on the same base BC.
From this we can conclude that -
∠BEC = ∠BAC = ∠BDC
Therefore, we can conclude that ∠BDC is congruent to ∠BAC and ∠BEC.
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The point (-sqrt2/2, sqrt2/2) is the point at which the terminal ray of angle theta intersects the unit circle. What are the values for cosine and cotangent functions for angle theta
Hence, the values of cοsine and cotangent functions for angle theta are -√(2)/2 and -1, respectively.
What precisely does a degree angle mean?Angles between 0 and 90 degrees are cοnsidered acute. Obtuse angles fall within this range and vary frοm 90° to 180°. A right angle is knοwn as an angle with a 90-degree angle (= 90°).
The pοint (-√(2)/2, √(2)/2) lies on the unit circle in the second quadrant, which means that the cοrresponding angle theta has a reference angle of pi/4.
The cοsine of theta is the x-coordinate of the point on the unit circle corresponding to theta. Since the x-coοrdinate of the given point is -√(2)/2, we have:
cοs(θ) = -√(2)/2
The cοtangent of theta is the ratio of the cosine of theta to the sine of theta. We can find the sine of theta by using the Pythagοrean theorem, since the pοint (-√(2)/2, √(2)/2) lies on the unit circle:
sin(θ) = √(1 - cos²(θ)) = √(1 - (-√(2)/2)²) = √(2)/2
Therefοre, we have:
cot(θ) = cos(θ) / sin(θ) = (-√(2)/2) / (√(2)/2) = -1
Hence, the values of cοsine and cotangent functions for angle theta are -√(2)/2 and -1, respectively.
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At the Fidelity Credit Union, a mean of 7.1 customers arrive hourly at the drive-through window. What is the probability that, in any hour, more than 3 customers will arrive? Round your answer to four decimal places.
The answer of the given question based on the probability is, probability that, in any hour, more than 3 customers will arrive is approximately 0.9227.
What is Experiment?a experiment is the outcome of the event, the possible outcomes are the number of times it occurrences.
To solve this problem, we will use the Poisson distribution,
we are given that the mean rate of customer arrivals is 7.1 per hour. We want to find the probability that more than 3 customers will arrive in any hour.
The Poisson distribution is defined as:
[tex]P(X = k) =(e^{(-\lambda)}*\lambda^k)/k![/tex]
where X is the random variable representing the number of events (in this case, customer arrivals), λ is the mean rate of occurrence, e is the mathematical constant e (approximately 2.71828), and k is the number of events we are interested in.
To find the probability of more than 3 customers arriving, we need to calculate the probability of 4, 5, 6, 7, 8, 9, and so on customers arriving, and add these probabilities together. This can be time-consuming, so instead we can use the complement rule and find the probability of 0, 1, 2, or 3 customers arriving, and subtract this from 1:
P(X > 3) = 1 - P(X <= 3)
To calculate P(X <= 3), we can use the Poisson distribution with λ = 7.1 and k = 0, 1, 2, and 3:
[tex]P(X = 0) = (e^{(-7.1)} * 7.1^0) / 0! = 0.000832[/tex]
[tex]P(X = 1) = (e^{(-7.1)} * 7.1^1) / 1! = 0.005904[/tex]
[tex]P(X = 2) = (e^{(-7.1)} * 7.1^2) / 2! = 0.020981[/tex]
[tex]P(X = 3) = (e^{(-7.1)} * 7.1^3) / 3! = 0.049546[/tex]
Adding these probabilities together, we get:
P(X <= 3) = 0.000832 + 0.005904 + 0.020981 + 0.049546 = 0.077263
Therefore, the probability of more than 3 customers arriving in any hour is:
P(X > 3) = 1 - P(X <= 3) = 1 - 0.077263 = 0.9227 (rounded to four decimal places)
So the probability that, in any hour, more than 3 customers will arrive is approximately 0.9227.
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A pet store has 4 bearded dragons and 9 geckos. What is the ratio of geckos to total reptiles?
Answer:
9 to 4
Step-by-step explanation:
The mean of 5 numbers is 4, 4 of the numbers are 3,5,4,4 what is the missing number
Answer:
6 I think have a great day
If � p and � q vary inversely and � p is 18 when � q is 28, determine � q when � p is equal to 72.
Answer:
q = 7Step-by-step explanation:
p and q vary inversely:
p = k/qIf p = 18, q = 28, find k:
18 = k/9k = 18*28 = 504The equation is:
p = 504/qWhen p = 72, q is:
18 = 504/qq = 504/72q = 7my last question for today, thx for the help
The surface area of the cylinder is 150.72cm²
What is surface area of cylinder?A cylinder is a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance. These bases are normally circular in shape (like a circle) and the center of the two bases are joined by a line segment, which is called the axis.
The surface area of a cylinder is the addition of the area of the faces on the cylinder.
The surface area of a cylinder = 2πr(r+h)
= 2×3.14 × 3( 3+5)
= 18.84 × 8
= 150.72cm²
therefore the surface area of the cylinder is 150.72cm²
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one 250 mL serving of tomato juice contains 2/5 the recommended daily intake of vitamin C. how much tomato juice does a person need to consume to get the full recommended daily intake?
To acquire the complete recommended daily dose of vitamin C, an individual would need to drink 625 mL, or 2.5 cups, of tomato juice.
How is vitamin C calculated?Calculation. For a common solution Mass Ascorbic acid equals Mole Iodine times Volume of Iodine multiplied by 176.12 to get 91.54 mg per mole of Iodine. At first, 100 mg of ascorbic acid was consumed, making it the complete amount of ascorbic acid.
Let's find out how much vitamin C there is in 250 mL of tomato juice first:
40% vitamin C in 250 mL = 100% vitamin C in x mL
Solving for x, we get:
x = (100% / 40%) * 250 mL
x = 625 mL
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Which color has the highest frequency? Which color has the lowest frequency? WHY?
I know I put it in the wrong subject but math is the most looked at and I know I'll get an answer faster.
Answer: Violet color light has the highest frequency. The frequency of violet color light is. 5 × 10 14 Hz . red color light has the lowest frequency. Red light has a frequency around 430 terahertz. This is all based on the order by wavelength.
mark me brainliest please :)
Step-by-step explanation: In order from lowest frequency to highest, they are red, orange, yellow, green, blue, indigo, and violet. Because of the inverse relationship, they are reversed in order by wavelength. The color with the highest frequency is violet.
How do I find the vertex of the equation
The vertex of the equation (x - 1)^2 - 9 = 0 is (1. 9)
How to determine the vertex of the equationThe vertex of a quadratic equation is the point at which the graph of the equation reaches its maximum or minimum value.
For a quadratic equation in standard form, y = ax^2 + bx + c, the vertex is located at the point (-b/2a, f(-b/2a))
From the question, we have the following parameters that can be used in our computation:
(x - 1)^2 - 9 = 0
A quadratic equation is represented as
a(x - h)^2 + k = 0
Where the vertex is
Vertex = (h, k)
Using the above as a guide, we have the following:
Vertex = (h, k) = (1, 9)
Hence, the vertex is (1, 9)
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Complete question
How do I find the vertex of the equation
(x - 1)^2 - 9 = 0
Can someone help me find the volume of the pentagonal pyramid
[tex] \: [/tex]
[tex] \rm{Height ( H ) = \bold{7.4m}}[/tex][tex] \: [/tex]
To find:-[tex] \textrm{Volume of pentagonal pyramid = ?}[/tex][tex] \: [/tex]
By using formula:-[tex] \color{gray}{ \bigstar} \blue {\boxed{ \rm{ \green{Volume \: of \: Pyramid = \frac{1}{3} Bh}}}}[/tex]
[tex] \: [/tex]
Solution:-[tex] \rm{Volume \: of \: Pyramid = \frac{1}{3} Bh} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\rm \: = \frac{1}{3} \times 75 \times 7.4 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \rm = \frac{1} {\cancel{3} }\times \cancel{555 } \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \underline\color{darkgreen}\boxed{ \rm{ = 185}}[/tex]
[tex] \: [/tex]
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hope it helps! :)
Directions - Evaluate the following exponential function for the x-values in the table. Complete the table with y-values.
�
=
9
⋅
(
1
3
)
�
y=9⋅(
3
1
)
x
Sure, here's a complete table of y-values for different x-values:
x y = 9*(13)^x
0 9
1 117
2 1521
3 19773
4 256809
5 3335777
6 43363161
7 562002993
8 7304038917
9 94852405821
What is function?In mathematics, a function is a relation between a set of inputs (the domain) and a set of possible outputs (the codomain) with the property that each input is related to exactly one output. Functions are often represented using function notation, where the input is the independent variable and the output is the dependent variable. Functions are used to model relationships between different quantities or variables, and are an essential tool in many areas of mathematics, science, engineering, economics, and more. They allow us to make predictions, analyze data, and understand complex systems.
Here,
The exponential function y = 9*(13)^x means that for any given value of x, we can calculate the corresponding value of y by plugging in x and performing the calculation. The base of the exponential function is 13, which means that the function will increase rapidly as x gets larger.
For example, if x = 0, then y = 9*(13)⁰ = 91 = 9.
If x = 1, then y = 9(13)¹ = 913
= 117.
If x = 2, then y = 9(13)² = 9*169
= 1521.
And so on.
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