Answers
Answer:
m∠1 = 93.5°
Step-by-step explanation:
By theorem of intersecting chords inside a circle,
If two chords intersect inside a circle, angle formed between the chords measure half the sum of the measures of the intercepted arcs.
m∠1 = \(\frac{1}{2}(92+95)\)
= \(\frac{187}{2}\)
= 93.5°
Therefore, measure of angle 1 is 93.5°.
Related Questions
b) If the joint probability distribution of three discrete random variables X, Y, and Z is given by, f(x, y, z)=. (x+y)z 63 for x = 1,2; y=1,2,3; z = 1,2 find P(X=2, Y + Z ≤3).
Answers
The probability P(X=2, Y+Z ≤ 3) is 13. Random variables are variables in probability theory that represent the outcomes of a random experiment or event.
To find the probability P(X=2, Y+Z ≤ 3), we need to sum up the joint probabilities of all possible combinations of X=2, Y, and Z that satisfy the condition Y+Z ≤ 3.
Step 1: List all the possible combinations of X=2, Y, and Z that satisfy Y+Z ≤ 3:
X=2, Y=1, Z=1
X=2, Y=1, Z=2
X=2, Y=2, Z=1
Step 2: Calculate the joint probability for each combination:
For X=2, Y=1, Z=1:
f(2, 1, 1) = (2+1) * 1 = 3
For X=2, Y=1, Z=2:
f(2, 1, 2) = (2+1) * 2 = 6
For X=2, Y=2, Z=1:
f(2, 2, 1) = (2+2) * 1 = 4
Step 3: Sum up the joint probabilities:
P(X=2, Y+Z ≤ 3) = f(2, 1, 1) + f(2, 1, 2) + f(2, 2, 1) = 3 + 6 + 4 = 13
They assign numerical values to the possible outcomes of an experiment, allowing us to analyze and quantify the probabilities associated with different outcomes.
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You have now invested some money in your bank account with an interest rate of 5% every year. At year 3 , you will find out that you have $30,000 in your bank account. How much money will you have in your bank account at year 2?
a. $25,915.13
b. $27,210.88
c. $28,571.43
d. $30,000.00
e. None of the above
Answers
At year 2, you will have approximately $25,915.13 in your bank account, assuming an initial investment with a 5% interest rate compounded annually. The correct answer is (a).
To find out how much money you will have in your bank account at year 2, we can use the compound interest formula:
A = P(1 + r/n)^(nt)
Where:
A = Final amount (in this case, $30,000)
P = Principal amount (initial investment)
R = Annual interest rate (5% or 0.05)
N = Number of times interest is compounded per year (assumed to be once per year)
T = Number of years (in this case, 3)
Let’s solve for P, the principal amount at year 0:
30,000 = P(1 + 0.05/1)^(1*3)
30,000 = P(1.05)^3
Dividing both sides of the equation by (1.05)^3:
P = 30,000 / (1.05)^3
P ≈ 25,915.13
Therefore, at year 2, you will have approximately $25,915.13 in your bank account.
The correct answer is (a) $25,915.13.
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PLEASE PLEASE HELP I WILL GIVE EXTRA POINTS AND BRAINALIST TO FIRST PERSON THXXX
Answers
Answer:
x<1200
X is the number of seats
X>3
Step-by-step explanation:
A university interested in tracking its honors program believes that the proportion of graduates with a GPA of 3.00 or below is less than 0.09. In a sample of 260 graduates, 20 students have a GPA of 3.00 or below. The value of the test statistic and its associated p-value are __________.
Answers
The test static value is 1.44 and its associated p-value is 0.1335.
Given that the problem deals with the concept of test for single proportion. The parameter of the interest is the population proportion of graduates with GPA of 3.00 or below is less than 0.09.
Let the population proportion be p=0.09.
Let the number of graduates in a sample be n=260.
Let the number of students have a GPA of 3.00 or below be x=20.
Based on the known data, the null and alternative hypothesis are,
H₀:p≥0.09
H₁:p<0.09
The sample proportion of students have a GPA of 3.00 or below is,
\(\begin{aligned}\hat{p}&=\frac{x}{n}\\ &=\frac{20}{260}\\ &=0.07\end\)
Under the null hypothesis, the test static value is,
\(\begin{aligned}z&=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}\\ &=\frac{0.07-0.09}{\sqrt{\frac{0.09(1-0.09)}{260}}}\\ &=\frac{-0.02}{0.018}\\ &=-1.11\end\)
The p-value for the left-tailed test is
p-value=p(z<-1.11)
p-value=0.1335
Hence, the value of the test statistic and its associated p-value for the proportion of graduates with a GPA of 3.00 or below is less than 0.09. are 1.44 and 0.1335.
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On Dec. 10, Merchandise is sold for $2,0002/10, n/30 to ABC who sends a remittance on Dec. 26 . What is the amount of remittance? a. 1,800 b. 1,400 c. 1,960 d. 2,000
Answers
The amount of the remittance from ABC is $1,960.
The given information states that merchandise is sold for $2,000 with terms of 2/10, n/30 to ABC. The terms 2/10, n/30 imply a 2% discount if payment is made within 10 days, with the full amount due within 30 days.
Since ABC sends a remittance on Dec. 26, it means the payment is made after the discount period but within the credit period. Therefore, ABC is not eligible for the discount of 2%.
To calculate the amount of the remittance, we simply subtract the discount from the total amount. In this case, the discount is $2,000 * 2% = $40. Thus, the remittance amount is $2,000 - $40 = $1,960.
In conclusion, the amount of the remittance from ABC is $1,960, as they did not qualify for the early payment discount.
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the mean of 8, 10, 14, 16, x, 20 is 14 find the value of x
Answers
Answer:
2×4=8
2×5=10
2×7=14
2×8=16
2×10=20
Step-by-step explanation:
2×7=14 is the value of x
Answer:
x = 16
Step-by-step explanation:
The mean is calculated as
mean = \(\frac{sum}{count}\) , then
\(\frac{8+10+14+16+x+20}{6}\) = 14 ( multiply both sides by 6 )
68 + x = 84 ( subtract 68 from both sides )
x = 16
Tekan-Tekan Sdn. Bhd. has order for 200 Model AS-120 calculator for delivery on day 200. The calculator consists of three parts. Components 2 and 3 form subassembly 1 . Sub-assembly 1 and component 4 form the final assembly. Following are the work centers and times of each operation. Table Q3(a) shows routine file of the operation. Assuming: - Only one machine is assigned to each operation - The factory works on 8-hour shift, 5 days a week - All parts move in one lot of 200. (a) Illustrate the backward schedule based on the information given above. (12 marks) (b) Identify when component 3 must be started to meet the delivery date. (2 marks)
Answers
Component 3 must be started on day 197 to meet the delivery date of day 200.
To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.
(a) Backward schedule:
Operation | Work Center | Time (hours) | Start Day
--------------------------------------------------------
Final Assembly | Work Center 1 | 1 | 200
Sub-assembly 1 | Work Center 2 | 2 | 199
Component 4 | Work Center 3 | 3 | 197
Component 2 | Work Center 4 | 4 | 196
Component 3 | Work Center 5 | 3 | ????
(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.
From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.
Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.
Hence, component 3 must be started on day 197 to meet the delivery date of day 200.
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Anthony worked to earn $25.00. Joyce worked for $8.00 per hour. If Anthony earns $5.00 per hour, how many hours did he work?
Answers
Answer:
Anthony worked to earn $25.00. Joyce worked for $8.00 per hour. If Anthony earns $5.00 per hour, how many hours did he work?
for 5 hours they work
YA
10-
86
9
7
654321
1 2 3 4 5 6 7 8 9 10
What is the equation of the blue line?
X
Answers
Answer:
y = 2x + 3
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (2, 7) ← 2 points on the line
m = \(\frac{7-3}{2-0}\) = \(\frac{4}{2}\) = 2
the line crosses the y- axis at (0, 3 ) ⇒ c = 3
y = 2x + 3 ← equation of line
I need some help with these 4 questions
Answers
Answer:
ok, but where are the four questions?
Answer:
Hey mate.....
Step-by-step explanation:
Which questions are you even talking about???????
Lol
Determine the scale factor. Pre-Image: (-5, 3), (-2, 3), (-2, 1), (-5, 1) Image: (-10, 6), (-4, 6), (-4, 2), (-10, 2)
Answers
The scale factor, given the pre - image and the image, can be found to be 2.
How to find the scale factor ?The scale factor is the measure that either increases or decreases the size of a shape. When the scale factor is an integer then the size of the shape increases.
When the scale factor is a fraction with a larger denominator than numerator, the shape decreases.
To find the scale factor, look at the relationship between a point on the pre - image and the corresponding point on the image. For the points, ( -5, 3 ) and ( -10, 6 ) the scale factor would be :
= -10 / -5 or, = 6 / 3
= 2 = 2
The scale factor is therefore 2.
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imagine that a survey of randomly selected people finds that people who used sunscreen were more likely to have been sunburned in the past year. which explanation for this result seems most likely?
Answers
Imagine that a survey of randomly selected people finds that people who used sunscreen were more likely to have been sunburned in the past year.
There are several possible explanations for the finding that people who used sunscreen were more likely to have been sunburned in the past year.
However, without additional context or data, it is difficult to determine the most likely explanation definitively. Here are a few possible explanations to consider:
1. Ineffective or improper use of sunscreen: It is possible that the individuals who reported using sunscreen did not apply it correctly or did not reapply it as recommended.
Inadequate application or failure to follow proper sunscreen usage guidelines could result in insufficient protection from the sun's harmful rays, leading to sunburn.
2. Self-selection bias: It is possible that individuals who have previously experienced sunburns may be more likely to use sunscreen. They may be more aware of the potential risks and take precautions, including using sunscreen.
This could create an association between sunscreen use and sunburn, even though sunscreen itself is intended to prevent sunburn.
3. Recall bias: The survey responses may be subject to recall bias, where individuals may inaccurately remember or report their sunscreen use and sunburn experiences.
Memory limitations or subjective perceptions of sunburn severity could influence the reported data and the observed association between sunscreen use and sunburn.
4. Confounding factors: There may be other factors or variables at play that are related to both sunscreen use and sunburn. For example, individuals who engage in activities that increase sun exposure or who have certain skin types may be more likely to both use sunscreen and experience sunburn.
It is important to note that further investigation, including more detailed surveys, data collection and statistical analysis, would be necessary to determine the most likely explanation for the observed association between sunscreen use and sunburn.
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The perimeter of the figure below is 135.8 in.
Find the length of the missing side.
Answers
Answer:
12.3
Step-by-step explanation:
subtract(its me again)
Hey guys can anyone help??
Answers
Answer:
what do you need help with ?
An archery target is shown. The length of a side of the inner square is 6 ft and the length of a side of the outer square is 11 ft. If an arrow
target at random, what is the probability that it hits the shaded region? Round to the nearest percent.
Answers
Answer:
The answer is below
Step-by-step explanation:
A square is a quadrilateral (has four sides and four angles). All the sides of a square has equal sides and all the angles of a square are equal with a measure of 90° each.
The area of inner square = length * length = 6 ft * 6 ft = 36 ft²
The area of outer square = length * length = 11 ft * 11 ft = 121 ft²
The probability that the arrow hits the inner square = area of inner square / area of outer square
The probability that the arrow hits the inner square = 36 ft² / 121 ft² = 0.3 = 30%
Answer:
55% i think
Step-by-step explanation:
It is claimed that an automobile is driven on the average more than 20,000 kilometers per year. To this claim, a random sample of 20 automobile owners is asked to keep a record of the kilometers they travel. Would you agree with the claim if the random sample showed an average of 23,500 kilometers and standard deviation of 3900 kilometers? Use alpha = 5%.
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Sample mean(x) = 23500
Sample standard deviation (sd) = 3900
Sample size (n) = 20
Population mean (m) = 20,000
Null hypothesis : m = 20000
H1: m > 20000
To obtain the z-score :
(population mean - sample mean) / (sample standard deviation /√sample size)
(x - m) / (sd/√n)
(23500 - 20000) / (3900 / √20)
3500 / (3900 /4.4721359)
3500 / 872.06651
= 4.0134
Get the P value to know if to reject or accept the null:
P(z > 4.0134) = 1 - P(z < 4.0134)
P(z < 4.0134) = 1
1 - P(z < 4.0134) = 1 - 1 =0
Since P value is < alpha, we reject the null.
Hence average is > 20000
pls help if you can asap!!!!
Answers
Answer: A
Step-by-step explanation: I would say A because the angle is greater than 90 degrees
Answer:
We have supplementary angles.
76 + 3x + 2 = 180
3x + 78 = 180
3x = 102
x = 34
what is 9,340 x 4/3.
Answers
Answer:
12453.3333333
Step-by-step explanation:
4/3 is the same things as 4 ÷ 3 which is 1.33333333333
1.33333333333*9340 = 12453.3333333
Hope this helps!
Santiago is building a skateboarding ramp by propping the end of a piece of wood on a cinder block. If the ramp begins 63 centimeters from the block and the block is 16 centimeters tall, how long is the piece of wood?
(Ixl) HELP ASAP
Answers
Answer:
65 cm
Step-by-step explanation:
See the attached image. The Pythagorean Theorem says in a right triangle, (leg)^2 + (leg)^2 = (hypotenuse)^2.
\(16^2+63^2=x^2\\256+3969=x^2\\4225=x^2\\x=\sqrt4225}\\x=65\)
At a coffee shop, two sizes of coffee are sold. A medium coffee costs $3, and a large coffee costs $5. Write an equation that represents the relationship between the number of medium coffees sold, x, and the number of large coffees sold, y, in an hour where sales totaled $68.
Answers
The equation that represent the relationship of the coffees is 3x + 5y = 68.
How to represent situation with system of equation?At a coffee shop, two sizes of coffee are sold. A medium coffee costs $3, and a large coffee costs $5.
The equation that represent the relationship between the number of medium coffees sold, x, and the number of large coffees sold, y, in an hour where sales totalled $68 is as follows:
where
x = number of medium coffees soldy = number of large coffees soldTherefore, the equation is as follows:
3x + 5y = 68
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If the area of the triangle is 12, what is the value of x?
Answers
Answer:
X = 3 and -7
Step-by-step explanation:
area of a triangle is = ½ ×base × height
What value of c makes the equation true? Assume x>0 and y>0 3√x^3/cy^4=x/4y(3√y) c = 12 c = 16 c = 81 c = 64
Answers
The value of c that makes the equation true is c = 64, when x = 6 and y = 3.
To find the value of c that makes the equation true, we can start by simplifying both sides of the equation using exponent rules and canceling out common factors.
First, we can simplify 3√(x^3) to x√x, and 3√y to y√y, giving us:
x√x/cy^4 = x/4y(y√y)
Next, we can simplify x/4y to 1/(4√y), giving us:
x√x/cy^4 = 1/(4√y)(y√y)
We can cancel out the common factor of √y on both sides:
x√x/cy^4 = 1/(4)
Multiplying both sides by 4cy^4 gives us:
4x√x = cy^4
Now we can solve for c by isolating it on one side of the equation:
c = 4x√x/y^4
We can substitute in the values of x and y given in the problem statement (x>0 and y>0) and simplify:
c = 4x√x/y^4 = 4(x^(3/2))/y^4
c = 4(27)/81 = 4/3 = 1.33 for x = 3 and y = 3
c = 4(64)/81 = 256/81 = 3.16 for x = 4 and y = 3
c = 4(125)/81 = 500/81 = 6.17 for x = 5 and y = 3
c = 4(216)/81 = 64 for x = 6 and y = 3
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Suppose that an individual has a body fat percentage of 16.7% and weighs 147 pounds. How many pounds of her weight is made up of fat? Round your answer
to the nearest tenth.
Answers
Answer:
24.549 pounds
Step-by-step explanation:
What does x equal in the following examples?
4x+6. And. 2x+4
Answers
Answer:
-2
Step-by-step explanation:
hope -2 is equal for x in both expression
How can get better at geogrwphy
Answers
Answer:
study DUHHHH
Step-by-step explanation:
A 31 cm core sample from a large tree is to be divided into five pieces. Two of the pieces will be one length, and the other three will be 2 cm longer. What is the length of the LARGE pieces?
A. 5 cm
B. 5.5 cm
C. 6.5 cm
D. 7 cm
Answers
Answer:
the answer is c
Step-by-step explanation:hope this helped!
Write a word description of the set. {−5, −4, −3, −2, −1}
Answers
What is 4.89 + ? = 11.26
Answers
Answer:
The answer is 6.37.
Step-by-step explanation:
Please pick me as brainlest answer
Answer:
6.37
Step-by-step explanation:
11.26 - 4.89 = 6.37
Hope this help ;)
The number of sweets in a bag are normally distributed with mean 48 and standard deviation 4.
What is the probability that a bag selected at random contains more than 50 sweets? Give your answer as a decimal correct to 3 significant figures.
Answers
Answer:
0.33 recurring
Step-by-step explanation:
assuming alol the fractions are equal, find the total number of possibilities and assign one for each number
Which phrase represents the meaning of the symbol Less-than?
less than
equal to
take away
greater than
Answers
Answer:
less - than is the answer
hope it helps you
Answer:
a
Step-by-step explanation:
-edge 2021