Answer:
1) 23°
2) 55°
Step-by-step explanation:
Q1)
GIVEN :-
∠ADB = 64°∠BEC = 49°TO FIND :-
∠EBD or ∠aPROCEDURE :-
ABCD is a rectangle. In a rectangle , all the angles measure 90°. So,
∠ADC = 90°
⇒ ∠ADB + ∠BDE = 90°
⇒ ∠BDE = 90 - 64 = 26°
In a triangle , measure of an exterior angle of a triangle is the sum of the two opposite interior angles. So in ΔEBD ,
∠EBD + ∠EDB = ∠BEC
⇒ a° + 26° = 49°
⇒ a° = 49 - 26 = 23°
Q2)
GIVEN :-
∠AED = 52°∠EDB = 17°TO FIND :-
∠CBD or ∠aPROCEDURE :-
ABCD is a rectangle. In a rectangle , all the angles measure 90°. So,
∠ABC = 90°
⇒ ∠CBD + ∠DBE = 90°
⇒ ∠DBE = 90 - a
In a triangle , measure of an exterior angle of a triangle is the sum of the two opposite interior angles. So in ΔEBD ,
∠EBD + EDB = ∠AED
⇒ (90 - a)° + 17° = 52°
⇒ 107 - a = 52
⇒ -a = 52 - 107 = -55
(Multiplying -1 to both sides)
⇒ a = 55°
On simplifying (-3y2 − 8) − (-5y2 + 1), we get
Answer:
-3y2-8+5y2-1=
2y2-9
Step-by-step explanation:
Answer:
\(\huge{\boxed{\sf{ 2y^{2} - 9 }}}\)
Step-by-step explanation:
\(( - 3y^{2} - 8 ) - ( - 5y^{2}+ 1 )\)
While subtracting , sign of each term of the second expression changes.
⇒\(- 3y^{2} - 8 + 5y^{2} - 1\)
Combine like terms : \(-3y^{2}\) and \(5y^{2}\)
Like terms are those which have the same base.
⇒\(2y^{2} - 8 - 1\)
Remember : The negative integers are always added but posses the negative ( - ) sign.
⇒\(2y^{2} - 9\)
Hope I helped!
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You're given two side lengths of 3 centimeters and 5 centimeters. Which measurement can you use for the length of the third side to construct a valid triangle Pick multiple
8 centimeters
6 centimeters
4 centimeters
10 centimeters
2 centimeters
Answer:
8 hehehhehe
Step-by-step explanation:
Adi bought a bag for $25 and sold it at a loss of 10%. Find the selling price of the bag.
Answer:
The selling price of the bag is $22.5
Step-by-step explanation:
Buying Price = $25,
Selling Price = ?
Since they sold it at a loss of 10%,
So, they sold it for a price 10% less than the buying price,
or at 90% or 0.9 of the buying price,
so,
Selling Price = (0.9)(25) = $22.5
What the answer for 908x64=
Answer:
908x64=58112
hope it helps you
Answer:
58112
Step-by-step explanation:
Solution
908×64=58112
hence required answer is 58112.
what is the area of the triangle in the composite figure above?
A. 5 in
B. 10 in
C. 20 in
D. 65 in
Answer:
The correct answer is C. 20 in. To calculate the area of the triangle, we can use the formula A = 1/2 bh. The base of the triangle is 10 in and the height is 8 in, so the area is 1/2 x 10 x 8 = 40 in^2. Since the triangle is a right triangle, the area is half of 40 in^2, which is 20 in^2
\( \sqrt{17.3} \)
Find the answer to /17.3 giving your answer correct
to 1 decimal place.
Answer:
\(\sqrt{17.3}\) = 4.159..... so approx 4.2
Step-by-step explanation:
If fuses cost $2.35 each, and each motor requires 3 fuses, how many motors can be supplied with $493.50 worth of fuses?
From the statement we know that:
• fuses cost $2.35,
,• a motor requires 3 fuses, so it requires Cm = 3 * $2.35 = $7.05 of cash for the fuses,
,• we have $493.5 of cash to invest.
So the amount of motors that we can supply is:
\(\frac{493.5}{C_m}=\frac{493.5}{7.05}=70\)Answer
We can supply 70 motors.
suppose an estimate of the proportion which will develop immunity with margin of error 0.03 is required. what is the minimum sample size needed, i) assuming you know that 88 out of 100 developed immunity? ii) assuming no estimate of the proportion which develops immunity is available?
i) If you already know that 88 out of 100 people developed immunity, then you can simply use this information to estimate the proportion of the population that will develop immunity with a margin of error of 0.03. In this case, the sample size is not relevant because you already have the information you need.
ii) If you do not have any estimate of the proportion of people who will develop immunity, then you will need to collect a sample and use this sample to estimate the proportion of the population that will develop immunity. To determine the minimum sample size needed, you will need to consider the desired margin of error and the level of confidence you want to have in your estimate.
To calculate the minimum sample size needed, you can use the following formula:
n = (Z² × p × (1 - p)) / (ME²)
where:
n is the minimum sample sizeZ is the z-score corresponding to your desired level of confidence (e.g., 1.96 for a 95% confidence level)p is the estimated proportion of the population that will develop immunity (if you don't have an estimate, you can use 0.5)ME is the desired margin of errorFor example, if you want to estimate the proportion of the population that will develop immunity with a 95% confidence level and a margin of error of 0.03, you would use a z-score of 1.96 and plug the values into the formula like this:
n = (1.96² × 0.5 × (1 - 0.5)) / (0.03²) = 384
This would mean that you would need a sample size of at least 384 to estimate the proportion of the population that will develop immunity with a margin of error of 0.03 and a 95% confidence level.
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Can someone please help me with this please
These are all your congruent parts and they are colour coded along with matching marks on the triangle to help you know that! :)
Can I get the answer?
The meaning of the y - intercept in the context of the problem of the snow level in Moose Wyoming is the level of snow at the beginning of the time period in question.
What is the y - intercept ?The y-intercept of the function y = 2x + 14 is the value of y when x = 0. Substituting x = 0 into the equation, we get:
y = 2(0) + 14
y = 14
Therefore, the y-intercept is 14.
In terms of the problem, this means that at midnight (when x = 0), there is already 14 inches of snow on the ground in Moose, Wyoming. The y-intercept represents the initial or starting value of the snow level function, which in this case is the amount of snow already on the ground at the start of the time period being modeled.
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use the trapezoidal rule, the midpoint rule, and simpson's rule to approximate the given integral with the specified value of n. (round your answers to six decimal places.) 3 0 1 10 y5 dy, n
Therefore, the degree of the resulting polynomial is m + n when two polynomials of degree m and n are multiplied together.
What is polynomial?
A polynomial is a mathematical expression consisting of variables and coefficients, which involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents. Polynomials can have one or more variables and can be of different degrees, which is the highest power of the variable in the polynomial.
Here,
When two polynomials are multiplied, the degree of the resulting polynomial is the sum of the degrees of the original polynomials. In other words, if the degree of the first polynomial is m and the degree of the second polynomial is n, then the degree of their product is m + n.
This can be understood by looking at the product of two terms in each polynomial. Each term in the first polynomial will multiply each term in the second polynomial, so the degree of the resulting term will be the sum of the degrees of the two terms. Since each term in each polynomial has a degree equal to the degree of the polynomial itself, the degree of the resulting term will be the sum of the degrees of the two polynomials, which is m + n.
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Tom works for a large food producer, making sure that its seed selection and fertilizer procedures comply with government regulations. Tom is a _____.
foodservice manager
food scientist
USDA food inspector
environmental health practitioner
Answer:
environmental health practitioner
What is the measure of angles 1, 2, and 3?
Answer:
1= 70
2= 65
3= 95
For 1, just solve 180-(65+45) and then for 2, subtract #1 and 45 from 180. Then just solve for #3 by using 180-(#2+20)
Find tan B. WILL MARK BRAINLIEST
are all isosceles triangles similar
Answer:
Step-by-step explanation:
isosceles triangles are all similar in that they have 2 sides that are equal.
however, the angles can differ and so they are not all similar in that term
2x-3=7
Please tell me what it equals
2x-3=7
The answer would be 5.
Answer:
x=5
Step-by-step explanation:
2x−3=7
Add 3 to both sides.
2x=7+3
Add 7 and 3 to get 10.
2x=10
Divide both sides by 2.
x=10/2
Divide 10 by 2 to get 5.
x=5
I GIVES BRAINLIEST TO PEOPLES WHO ANSWERS
Answer:
$16.38
Step-by-step explanation:
If he has to buy the whole board he will still spend the $8.80
If the school buys the post then you leave out the $18.75
what is the next two term in the sequence 6, 10, 14, 16
Answer:
Next two terms of the sequence is 20 and 24.Step-by-step explanation:
The arithmetic sequence is 6, 10, 14 , 16
First term (a) = 6
Subtract the first term from the second term:
10 - 6 = 4Subtract the second term form the third term:
14 - 10 = 4Subtract the third term from the Fourth term:
16 - 14 = 4Here, You will notice that each time you move from one number to the next one it increases by four. So, the difference between one and the next term is four.
So,
Next two terms are:
⟶ 16 + 4 = 20
⟶ 20 + 4 = 24
Hence,
Next two terms of the sequence is 20 and 24.Step-by-step explanation:
Given Sequence :- 6 , 10 , 14 , 16 To find :- Next 2 terms in the sequenceSolution :-
D( common difference ) = a2 - a1
D = 10 – 6
D = 4
Next two terms ,
16 + D ; 16 + 4 = 20
20 + D ; 20 + 4 = 24
convert 5.764764764 to a rational expression
Answer: 5 and 764 over 999
5764 over 9999
5 and 764 over 99
5 and 999 over 764
Step-by-step explanation:
: Find a 95% confidence interval for a population mean µ for
these values: n = 49, x = 15, s 2 = 3.1
The 95% confidence interval for the population mean (µ) based on the given values is approximately 14.4964 to 15.5036.
What is confidence interval?A confidence interval is a type of interval calculation that determines the true value of the unknown parameter based on the observed data. The interval estimates the deterministic parameter with a level of confidence that is quantified by the confidence level.
To find the 95% confidence interval for the population mean (µ) based on the given values, we can use the formula:
Confidence Interval = x ± z * (s / √n)
Where:
- x is the sample mean
- z is the z-score corresponding to the desired confidence level (95% confidence level corresponds to a z-score of approximately 1.96)
- s is the sample standard deviation
- n is the sample size
Given:
- n = 49 (sample size)
- x = 15 (sample mean)
- s² = 3.1 (sample variance)
First, let's find the sample standard deviation (s) by taking the square root of the sample variance:
s = √s² = √3.1 = 1.760682
Now, we can calculate the confidence interval:
Confidence Interval = 15 ± 1.96 * (1.760682 / √49)
= 15 ± 1.96 * (1.760682 / 7)
= 15 ± 1.96 * 0.251526
Calculating the values:
Lower limit = 15 - 1.96 * 0.251526 ≈ 14.4964
Upper limit = 15 + 1.96 * 0.251526 ≈ 15.5036
Therefore, the 95% confidence interval for the population mean (µ) based on the given values is approximately 14.4964 to 15.5036.
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what is the answer to this 40=9x-5
Answer:
If you want the x value.... It would be 5=x
Step-by-step explanation:
cuz
Answer:5=x
Step-by-step explanation:
40=9x-5
Add 5 on both sides:
+5+40=9x-5+5=
45=9x
Divide 9 on both sides:
45/9=9x/9
5=x
Quick
Check
Which statements about square roots are true? Check all that apply.
The square root of a positive number cannot be negative.
All positive numbers have two square roots.
18 = 9 because 9(2) = 18.
049 = 7 because 7(7) = 49.
0 25 = 5 because 52= 25.
Answer:
b,d,e
Step-by-step explanation:
A 2012 Gallup survey interviewed by phone a random sample of 474,195 U.S. adults. Participants were asked to describe their work status and to report their height and weight (to determine obesity based on a body mass index greater than 30). Gallup found 24.9% obese individuals among those interviewed who were employed (full time or part time by choice) compared with 28.6% obese individuals among those interviewed who were unemployed and looking for work. The population is
In the 2012 Gallup survey, a random sample of 474,195 U.S. adults was interviewed by phone to gather information about their work status, height, and weight.
The objective was to determine the prevalence of obesity (defined as having a body mass index greater than 30) among different work status groups. The survey found that 24.9% of the participants who were employed (either full-time or part-time by choice) were classified as obese. In contrast, 28.6% of the participants who were unemployed and actively seeking work were also found to be obese. This indicates that there may be a relationship between employment status and obesity rates in the U.S. adult population.
However, it is important to note that correlation does not necessarily imply causation, and various factors could contribute to these findings. Further research may be necessary to determine the underlying causes behind the differences in obesity rates among employed and unemployed individuals.
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The area of a rectangle is 58 in². The base is 8 inches long. What is the height
Answer:
7.25 inches
Step-by-step explanation:
formula for the area of a rectangle:
base × perpendicular height
inputting what we have:
8 × height = 58
divide both sides by 8
58/8=7.25
height=7.25 inches
A pile of newspapers in Mr. Moore’s ELA class was 17 ¾ inches high. Each consecutive week, for the next 5 weeks, the height of the pile of newspapers increases by 8 712 inches each week. What was the height, in inches , of the pile after 3 weeks? Step by step plz
Answer:
43 1/2
Step-by-step explanation:
answer will be:
original height plus 3 times 8 7/12 inches
3 times 8 7/12 can be done by converting the mixed number to an improper fraction:
\(\frac{3}{1}\) · \(\frac{103}{12}\) = \(\frac{103}{4}\) = 25 3/4
25 3/4 added to 17 3/4 equals 42 6/4 which is 42 + 1 1/2 = 43 1/2
Simplify. 15 – 20 ÷ 2 • 4 + 20 10 –5 75
The simplified result of the given expression is -5.
Given is an expression 15 – 20 ÷ 2 • 4 + 20, we need to simply it,
To simplify the expression, follow the order of operations (PEMDAS/BODMAS):
Parentheses/Brackets
Exponents/Orders
Multiplication and Division (from left to right)
Addition and Subtraction (from left to right)
The expression is: 15 – 20 ÷ 2 • 4 + 20
Step 1: Perform Division first
15 – (20 ÷ 2) • 4 + 20
15 – 10 • 4 + 20
Step 2: Perform Multiplication
15 – 40 + 20
Step 3: Perform Subtraction and Addition
-25 + 20
-5
Hence, the simplified result is -5.
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Mia jogs 3 kilometers in 20 minutes. There are about 0.6 miles in a kilometer. What is Mia’s approximate speed in miles per minute?
0.25 miles per minute
0.09 miles per minute
4 miles per minute
11 miles per minute
Answer:
answer is 0.09 per minute
Step-by-step explanation:
edge 2021
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)
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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Which function is linear?
Why?
x
Ecuación 1: y = 2
Ecuación 2: y = 2x - 5
Answer:
y = 2x - 5
Step-by-step explanation:
. A linear function has the following form. y = f(x) = a + bx.
For each of the following studies, say whether you would use at test for dependent means or at test for independent means. a) A researcher randomly assigns a group of 25 workers to a new job skill training program and 24 other workers to receive the standard job skills program, and then measures how well they all do on a job skills test. Either Neither Dependent Independent
For this study, we would use a t test for independent means to compare the job skills test scores of the workers who received the new job skill training program and those who received the standard job skills program.
For this study, we would use a t test for independent means. The reason for this is because the two groups of workers (the ones assigned to the new job skill training program and the ones receiving the standard job skills program) are independent of each other. The researcher randomly assigned the workers to each group, so there is no relationship or dependence between the two groups.
In a t test for independent means, we compare the means of two independent groups to determine if there is a statistically significant difference between them. We would calculate the t-statistic and the p-value to determine if the difference in job skills test scores between the two groups is significant or just due to chance.
In summary, for this study, we would use a t test for independent means to compare the job skills test scores of the workers who received the new job skill training program and those who received the standard job skills program.
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