Answer:20000
Step-by-step explanation:
Answer:
20000
Step-by-step explanation:
Which equation can be solved to find the measure in degrees of ZPQS?
o - 60 - 180
2- 60 - 180
20-60-90
-60-90
0-192 29-17
Equation can be solced to find t
Determine what type of model best fits the given situation: Every day, half a bacteria population dies.
Answer:
Step-by-step explanation:
This is a geometric sequence because each new term is a multiple (actually, "negative half of the previous term").
If the original population were Po, then the population after d days is
P = Po(0.5)^(d - 1)
explain how you determined which distribution to use. the t-distribution will be used because the samples are independent and the population standard deviation is not known. the standard normal distribution will be used because the samples are independent and the population standard deviation is known
You must use the t-distribution table when working problems when the population standard deviation (σ) is not known and the sample size is small (n<30). General Correct Rule: If σ is not known, then using t-distribution is correct. If σ is known, then using the normal distribution is correct.
What is t-distribution and normal distribution ?Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
In graphical form, the normal distribution appears as a "bell curve".
The normal distribution is the proper term for a probability bell curve.
In a normal distribution the mean is zero and the standard deviation is1. It has zero skew and a kurtosis of 3.
Normal distributions are symmetrical, but not all symmetrical distributions are normal.
The t-distribution describes the standardized distances of sample means to the population mean when the population standard deviation is not known, and the observations come from a normally distributed population.
Therefore,
You must use the t-distribution table when working problems when the population standard deviation (σ) is not known and the sample size is small (n<30). General Correct Rule: If σ is not known, then using t-distribution is correct. If σ is known, then using the normal distribution is correct.
Learn more about t-distribution and normal distribution here ;
https://brainly.com/question/24277447
#SPJ4
Solve for a. -4a - 2a – 7 = 11 a = [?]
Answer:
a = -7/17
Step-by-step explanation:
Add -4a to -2a
This makes -6a. Then you add 6a to the left to cancel it out, but you must also add 6a to the right of the =
Then you have -7 = 17a
Divide 17 from both sides and you have -7/17 = a
Q.2 (20pts) Find the interval of convergence of the power seriesn ∑n=1[infinity] (2x+5)^n/n3^n. Solution.
To find the interval of convergence of the power series ∑n=1∞ (2x+5)^n/n3^n, we will use the ratio test:
lim┬(n→∞)|(2x+5)^(n+1)/(n+1)3^(n+1)|/|(2x+5)^n/n3^n)|
= lim┬(n→∞)|(2x+5)/(n+1)(3/2)| = 0
Thus, the interval of convergence for the given power series is (-3, -2).
Since the limit is less than 1 for all values of x, the series converges for all x. Therefore, the interval of convergence is (-∞, ∞).
The interval of convergence for the given power series ∑(2x+5)^n/(n*3^n) can be found using the Ratio Test.
First, we'll find the limit as n approaches infinity:
L = lim (n → ∞) |((2x+5)^(n+1))/((n+1)*3^(n+1)) * (n*3^n)/((2x+5)^n)|
This simplifies to:
L = lim (n → ∞) |(2x+5)(n*3^n)/(n+1)*3^(n+1)|
Cancel the common terms:
L = lim (n → ∞) |(2x+5)n/(n+1)|
For the series to converge, we need L < 1:
|(2x+5)n/(n+1)| < 1
Since we're interested in the interval of convergence, we can ignore the n term:
|2x+5| < 1
Now solve for x:
-1 < 2x+5 < 1
-6 < 2x < -4
-3 < x < -2
Thus, the interval of convergence for the given power series is (-3, -2).
Learn more about convergence:
brainly.com/question/14394994
#SPJ11
How many times can a quart bottle be filled from a gallon jug?
Answer:
Step-by-step explanation:
5
Answer:
5
Step-by-step explanation:
the other person said it ♀️
Prove this polynomial identity
Answer:
\( {(x - y)}^{2} = (x - y)(x - y) \\ = ( {x}^{2} - xy - xy + {y}^{2} ) \\ = ( {x}^{2} - 2xy + {y}^{2} )\)
A bricklayer lays 4 bricks the first day of the job. On each day thereafter, he lays three times the number of bricks he laid on the previous day. If he continues this pattern, how many bricks in total will he have laid at the end of the fifth day? Responses 10 bricks 10 bricks 24 bricks 24 bricks 324 bricks 324 bricks 484 bricks
At the end of the fifth day, a bricklayer has laid 324 bricks on the job.
What is multiplication?Multiplication is a mathematical arithmetic operation.
It is also a process of adding the same types of expression to some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given, a bricklayer lays 4 bricks on the first day on the job.
On each day thereafter, he lays three times the number of bricks he laid on the previous day.
And he continued his pattern.
Let x be the number of bricks he laid in the previous day.
Then according to the question,
The number of bricks in total is = 3x
For the second day, x =4
Number of the bricks he laid on the second day = 12
Now the x =12 for the third day.
Number of the bricks he laid on the third day = 36
Now x = 36 for the fourth day.
Number of the bricks he laid on the fourth day = 108
Now the x = 108 for the fifth day.
Number of the bricks he laid on the fifth day = 324
Therefore, 324 bricks he has laid at the end of the fifth day.
To learn more about the multiplication;
https://brainly.com/question/19634536
#SPJ1
Hey, I WANT A BESTIE PLEASE (imagine I put the lightskin face emoji)
Answer:
Heyy
Step-by-step explanation:
A 15-foot pole is leaning against a tree. The bottom of the pole is 8 feet away from the bottom of the tree. Approximately how high up the tree does the top of the pole reach? 1. 9 feet 7. 0 feet 12. 7 feet 17. 0 feet.
Poles are usually standing vertical, thus at right angle with the ground. The length of tree touching the top of pole is given by: Option D: 17 feet.
What is a right angled triangle?A right angled triangle is a triangle having one of its angle with measure of 90 degrees.
The slant side(leaning side) of that triangle is called Hypotenuse and it is the longest side in that triangle.
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
\(|AC|^2 = |AB|^2 + |BC|^2\)
Where |AB| = length of line segment AB.
We can use the fact that the pole is standing vertical, the tree is leaning on it, so there is right angled triangle formation, and thus, we can use Pythagoras theorem.
Consider the graph attached below.
The tree is AC, The pole is AB and the distance of pole's bottom from the bottom of the tree is denoted by length of BC
We're already given that:
Pole length = |AB| = 15 feet
Distance between bottom of pole to bottom of tree = |BC| = 8 feet
The length of tree is |AC| = x feet (assume)
Then, by the Pythagoras theorem, we get:
\(x^2 = 15^2 + 8^2\\\\x = \sqrt{225 + 64} \text{\: (We took positive root since length is a non negative quantity)}\\\\x =\sqrt{289} = 17 \: \rm feet\)
Thus, length of AC = |AC| = 17 feet.
Thus,
The length of tree touching the top of pole is given by: Option D: 17 feet.
Learn more about Pythagoras theorem here:
https://brainly.com/question/12105522
Answer:
The answer above is wrong. 12.7
15² = 8² + h²
225 = 64 + h²
225 - 64 = h²
161 = h²
√161 ≈ 12.69
Step-by-step explanation:
HOW DO YOU WORK OUT -7X-3X+2=-8X-8
Answer:
5
Step-by-step explanation:
-7X - 3X + 8X = -8 -2
-2X= -10
=> X = 5
A train leaves LA at 2:00 pm and heads north at 50 mph. If the next train leaves the station three hours later and heads north at 60 mph, at what time will the second train catch up to the first train?
Answer:
https://brainly.com/question/6423861
Step-by-step explanation:
Use link and give me 5 stars and brainliest
You got an A on 6 of your last 18 quizzes in Algebra 2. What is the experimental probability
that you will get an A on your next quiz? (Simplify the fraction).
The experimental probability would be the number of A’s you have out of the number of quizzes you took:
Experimental probability would be 6/18 which reduces to 1/3
The answer is 1/3
CAN ANYONE PLEASE HELP ME ASAP
Answer:
31 degrees
Step-by-step explanation:
1. triangle= 180 degrees.
2. 84+ x + (180-115)= 180
3. 84+65+ x= 180
4. 180- 149= 31
5. x= 31
Answer: 31
Step-by-step explanation: 115 - 84 = 31
A certain contest has 10 participants and is awarding a gold medal to the top participant, a silver medal to the 2nd place participant, and a bronze medal to the 3rd place participant. In how many unique ways can these medals be awarded
There are 720 unique ways to award the gold, silver, and bronze medals to the top three participants in this contest.
The number of unique ways to award the gold, silver, and bronze medals can be determined by using the concept of permutations. A permutation is an arrangement of objects in a specific order. In this case, we need to find the number of permutations of 10 participants for the top three positions.
The number of permutations of 10 participants for the gold medal can be calculated as 10P1, which is equal to 10. This means that there are 10 different participants who can receive the gold medal.
Once the gold medalist is determined, there are only 9 participants remaining for the silver medal. The number of permutations of 9 participants for the silver medal can be calculated as 9P1, which is equal to 9. This means that there are 9 different participants who can receive the silver medal after the gold medalist is determined.
Finally, once the gold and silver medalists are determined, there are only 8 participants remaining for the bronze medal. The number of permutations of 8 participants for the bronze medal can be calculated as 8P1, which is equal to 8. This means that there are 8 different participants who can receive the bronze medal after the gold and silver medalists are determined.
To determine the total number of unique ways to award the medals, we need to multiply the number of permutations of each medal. Therefore, the total number of unique ways to award the medals is equal to:
10P1 x 9P1 x 8P1 = 10 x 9 x 8 = 720
Therefore, there are 720 unique ways to award the gold, silver, and bronze medals to the 10 participants in this contest.
To know more about ways, refer to the link below:
https://brainly.com/question/9146030#
#SPJ11
Euler found the sum of the p-series with p = 4:
(4) =
[infinity] 1
n4=
4
90
the p-series with p = 4 is: 1/1 + 1/16 + 1/81 + ...
This series converges to a specific value, which is approximately 1.082323.
The p-series is defined as the sum of the reciprocals of the powers of positive integers raised to a certain exponent p. In this case, Euler calculated the sum of the p-series with p = 4, which can be expressed as 1 + 1/16 + 1/81 + ...
Euler utilized his mathematical skills and knowledge to manipulate the series and find a closed-form solution. The process likely involved applying various techniques such as algebraic manipulation, mathematical identities, and possibly calculus or infinite series summation methods.
The result obtained by Euler, 490, signifies that the infinite series converges to a finite value. It demonstrates the concept of convergence, where even though there are an infinite number of terms, the sum can be determined and yields a finite result.
Learn more about series here:
https://brainly.com/question/12707471
#SPJ11
What is the domain of the function y=3[x?
-0
O 0
0 0
01
The domain of the function y = 3[x] is (-∞, ∞), which means that the function is defined for all values of x.
What is a function?A relation is a function if it has only One y-value for each x-value.
The function y = 3[x] is a piecewise function where [x] denotes the greatest integer function or the floor function, which returns the largest integer less than or equal to x.
The domain of the function is the set of all real numbers for which the function is defined.
As the greatest integer function is defined for all real numbers, the domain of the function y = 3[x] is also all real numbers.
Therefore, the domain of the function y = 3[x] is (-∞, ∞), which means that the function is defined for all values of x.
To learn more on Functions click:
https://brainly.com/question/30721594
#SPJ7
the annual precipitation amounts in a certain mountain range are normally distributed with a mean of 90 inches, and a standard deviation of 14 inches. what is the probability that the mean annual precipitation of a sample of 49 randomly picked years will be less than 92.8 inches?
The probability that the mean annual precipitation of a sample of 49 randomly picked years will be less than 92.8 inches is, 0.9192
What is standard deviation?
The standard deviation in statistics is a measurement of how much a group of values can vary or be dispersed. A low standard deviation suggests that values are often close to the set's mean, whereas a large standard deviation suggests that values are dispersed over a wider range.
Given: The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 90 inches, and a standard deviation of 14 inches.
z score is given by,
z = (x - μ)/(σ/√n) = (92.8 - 90)/(14/√49) = 2.8/2 = 1.4
The required probability is,
p(z < 1.4) = 0.9192, by standard normal table.
Hence, the probability that the mean annual precipitation of a sample of 49 randomly picked years will be less than 92.8 inches is, 0.9192.
To know more about the standard deviation, click on the link
https://brainly.com/question/475676
#SPJ4
If an inscribed angle intercepts the diameter of a circle, what degree measure is the intercepted arc?
The measure is 90°.
Since it intercepts half of the circle.
what is the principle value of sin^-1(1)
The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. The principal value of sin⁻¹(1) is 90°.
What is Sine (Sinθ)?The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. it is given as,
Sin(θ) = Perpendicular/Hypotenuse
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The hypotenuse is the longest side of the triangle.
The principal value of sin⁻¹(1) is,
θ = Sin⁻¹(1)
θ = 90°
Hence, the principal value of sin⁻¹(1) is 90°.
Learn more about Sine:
https://brainly.com/question/21286835
#SPJ1
Mrs Atkins is going to choose two students from her class to take part in a competition.
She can choose from 16 girls and 14 boys.
(a)
Work out the number of different ways of choosing one girl and one boy.
Given:
Total number of girls in her class = 16
Total number of boys in her class = 14
To find:
The number of different ways of choosing one girl and one boy.
Solution:
We have,
Total number of girls = 16
Total number of boys = 14
So,
Total number of ways to select one girl from 16 girls = 16
Total number of ways to select one boy from 14 boys = 14
Now, number of different ways of choosing one girl and one boy is
\(16\times 14=224\)
Therefore, the required number of different ways is 224.
a. The number of different ways of choosing one girl and one boy is 226
Calculation:Total number of ways to select one girl from 16 girls = 16
Total number of ways to select one boy from 14 boys = 14
So, the number should be
\(= 16 \times 14\)
= 224
Find out more information about the Number here : https://brainly.com/question/17429689?referrer=searchResults
Which statement is true?
A. cosine squared 47 degrees equals Start Fraction 1 plus cosine 94 degrees over 2 End Fraction
B. cosine left parenthesis Start Fraction pi over 4 End Fraction right parenthesis equals plus or minus Start Root Start Fraction 1 plus cosine left parenthesis Start Fraction pi over 8 End Fraction right parenthesis over 2 End Fraction End Root
C. tangent 34 degrees equals Start Fraction 2 tangent 68 degrees over 1 minus tangent squared 68 degrees End Fraction
D. sine left parenthesis Start Fraction pi over 6 End Fraction right parenthesis equals cosine squared left parenthesis left parenthesis Start Fraction pi over 12 End Fraction minus sine squared left parenthesis Start Fraction pi over 12 End Fraction
The correct trigonometric function cos²47° = (1 + cos94°)/2 thus, option (A) is correct.
What is a trigonometric function?The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.
The trigonometric function is very good and useful in real-life problems related to the right-angle triangle.
It is known that,
cos2x = 2cos²x - 1
2cos²x = 1 + cos2x
cos²x = (1 + cos2x)/2
Put x = 47°
cos²47° = (1 + cos94°)/2
Hence "The correct trigonometric function cos²47° = (1 + cos94°)/2".
For more information about the trigonometric function,
https://brainly.com/question/14746686
#SPJ1
Here is some information about a holiday.
7 night holiday
$340 per person
8% discount if you book before 31 March
On 15 February, Naseem books this holiday for 2 people.
Calculate the total cost of his holiday.
Answer:
$625.6
Step-by-step explanation:
Information about a holiday:
7 night holiday
$340 per person
8% discount if you book before 31 March
Number of people Naseem booked the holiday for = 2
Date of booking of the holiday = February 15
Total cost of the holiday per person = cost per person - discount before March 31
= $340 - 8% of $340
= 340 - 8/100 * 340
= 340 - 0.08 * 340
= 340 - 27.2
= $312.8
Total cost of the holiday for 2 persons = 2 × Total cost of the holiday per person
= 2 * $312.8
= $625.6
List five tasks that a layer can perform. is it possible that one (or more) of these tasks could be performed by two (or more) layers?
Error control, flow control, segmentation and reassembly, multiplexing, and connection setup are five tasks that a layer can perform.
Flow control: It is the efficient management of data flow between two or more devices like computers or nodes of a network.
Error control: The identification and correction of errors that occur during the transmission of data is called error control.
Segmentation and reassembly: Data to be transmitted is divided into small parts or chunks for convenience. This process is called segmentation. The combining of these chunks to reform the original data is called reassembling.
Multiplexing: The process of combination of digital data streams in one signal over a shared medium is known as multiplexing.
Connection setup: Establishing a connection between two devices that are connected to the same network is called connection setup.
All these tasks can be duplicated at different layers.
To learn more about network layers, refer to this link:
brainly.com/question/14571547
#SPJ4
The diagram shows an open rectangular box ABCDEFGH.
A straight stick AGM rests against A and G and extends outside the box to M.
a. Calculate the angle between the stick and the base of the box.
b. AM= 30 cm.
Show that GM= 4.8 cm, correct
to 1 decimal place.
The angle between the stick and the base of the box is 77. 9 degrees
How to determine the angleTo determine the angle between the stick and the base, we have to know the trigonometric identities.
These identities are;
sinecosinecotangenttangentsecantcosecantFrom the information given, we have;
sin A = FB/AB
Given that;
GB = 14.5cm
AB = 18. 6cm
substitute for the length of the sides, we have;
sin A = 14.5/18. 6
Divide the values, we have;
sin A = 0. 7796
Find the inverse sine
A = 77. 9 degrees
Learn more about trigonometric identities at: https://brainly.com/question/7331447
#SPJ1
t 1.4.3 Test (CST): Describing Data GraphicallyQuestion 19 of 25Which of these frequency counts would be represented by the tallest bar on ahistogram?OA. 15B. 17OC. 18OD. 16SUBMIT
The tallest bar on a a histogram represents the greatest frequency.
From the options, the greatest frequency is 18.
Answer: C. 18.
YQ and XP are altitudes to the congruent sides of isosceles triangle △WXY.
The correct statements about the given isosceles triangle are: (B) YQ = XP, (C) ∠WXY = ∠WYX, (D) WQ/QX = WP/PY, (E) PQ ║ XY, and (F) ∠PXY = ∠QYX.
What is an isosceles triangle?An isosceles triangle in geometry is a triangle with two equal-length sides.
It can be stated as having exactly two equal-length sides or at least two equal-length sides, with the latter definition containing the equilateral triangle as an exception.
The isosceles right triangle, the golden triangle, the faces of bipyramids, and some Catalan solids are all examples of isosceles triangles.
Isosceles triangles were first studied mathematically in Babylonian and Egyptian mathematics.
Isosceles triangles are commonly employed in architecture and design, such as in building pediments and gables, and have been utilized as ornamentation since much earlier periods.
Then, according to the given image, the true statements for the following isosceles triangle can be:
YQ = XP
∠WXY = ∠WYX
WQ/QX = WP/PY
PQ ║ XY
∠PXY = ∠QYX
Therefore, the correct statements about the given isosceles triangle are: (B) YQ = XP, (C) ∠WXY = ∠WYX, (D) WQ/QX = WP/PY, (E) PQ ║ XY, and (F) ∠PXY = ∠QYX.
Know more about the isosceles triangle here:
https://brainly.com/question/1475130
#SPJ1
1.) 0.66666666667 is a natural, whole, integer, rational or irrational number
Answer:
irrational i think
Step-by-step explanation:
Sharon wants to buy a coat that costs $136.
The rate for sales tax is 7%. How much sales
tax will she have to pay? What is her total
cost for the coat? Write your expression.
Answer: $145.52
Step-by-step explanation:
Answer:
9.52
Step-by-step explanation:
What is 136% of 7?
Y is 136% of 7
Equation: Y = P% * X
Solving our equation for Y
Y = P% * X
Y = 136% * 7
Converting percent to decimal:
p = 136%/100 = 1.36
Y = 1.36 * 7
Y = 9.52
answer asap
a. Which of the following items are within tolerance? b. What is the percent accuracy by item?
to determine which items are within tolerance, we compare their values to the specified range. To calculate the percent accuracy, we find the difference between the measured value and the target value, and then divide it by the target value.
a) To determine which items are within tolerance, we need to compare each item's value to the acceptable range specified by the tolerance. If an item's value falls within this range, it is considered to be within tolerance. Let's say we have three items with their respective values and tolerances:
Item 1: Value = 10, Tolerance = ±2
Item 2: Value = 7, Tolerance = ±1.5
Item 3: Value = 5, Tolerance = ±0.5
For Item 1, since 10 falls between 10-2=8 and 10+2=12, it is within tolerance.
For Item 2, since 7 falls between 7-1.5=5.5 and 7+1.5=8.5, it is also within tolerance.
For Item 3, since 5 falls between 5-0.5=4.5 and 5+0.5=5.5, it is within tolerance as well.
Therefore, all three items are within tolerance.
b. To calculate the percent accuracy by item, we need to determine the difference between the measured value and the target value, and then divide it by the target value. This difference is then multiplied by 100 to obtain the percent accuracy.
Using the same values as before:
Item 1: Value = 10, Target Value = 9
Item 2: Value = 7, Target Value = 6
Item 3: Value = 5, Target Value = 4
For Item 1, the difference is 10-9=1. The percent accuracy is (1/9) x 100 = 11.11%
For Item 2, the difference is 7-6=1. The percent accuracy is (1/6) x 100 = 16.67%
For Item 3, the difference is 5-4=1. The percent accuracy is (1/4) x 100 = 25%.Therefore, the percent accuracy by item is 11.11%, 16.67%, and 25% for Items 1, 2, and 3 respectively.
Learn more about range here:
https://brainly.com/question/29204101
#SPJ11