Answer: 52°
Step-by-step explanation:
Two angles are referred to as complementary angles when the addition of the angles given equals to 90°.
In this case, since we are given two angles which are (2x + 18) and (6x – 8). We then add them and equate them to 90° which will be:
(2x + 18) + (6x - 8) = 90
2x + 18 + 6x - 8 = 90
Collect like terms
2x + 6x = 90 - 18 + 8
8x = 80
x = 10
Since ZB = 6x - 8 = 6(10) - 8 = 60 - 8 = 52°
Solve the inequality for x= 1 + 2x > -23
Answer:
x = -12
Step-by-step explanation:
1 + 2x > -23
-1
2x > -24
x < -12
Three different methods for assembling a product were proposed by an industrial engineer. To investigate the number of units assembled correctly with each method, 30 employees were randomly selected and randomly assigned to the three proposed methods in such a way that each method was used by 10 workers. The number of units assembled correctly was recorded, and the analysis of variance procedure was applied to the resulting data set. The following results were obtained: SST = 10,800; SSTR = 4560.
1. Set up the ANOVA table for this problem (to 2 decimals, if necessary).
Source of Variation Sum of Squares Degrees of Freedom Mean Square F
Treatments
Error
Total
2. Use a= .05 to test for any significant difference in the means for the three assembly methods.
3. Calculate the value of the test statistic (to 2 decimals).
The p-value is:_______.
a. less than .01
b. between .01 and .025
c. between .025 and .05
d. between .05 and .10
e. greater than .10
4. What is your conclusion?
a. Not all means of the three assembly methods are equal
b. Cannot reject the assumption that the means of all three assembly methods are equal
Answer:
is an attachment
test statistic = 9.87
p value is less than 0.01
Not all means of the three assembly methods are equal
Step-by-step explanation:
the anova table is an attachment
total number of methods = k = 3
number of observations n = 30
for treatment, df = 3-1 = 2
for error, df = 30 -3 (n-k) = 27
sst = 10800, sstr = 4560, sse = 10800-4560 = 6240
we find the mean of squares for error
sse/df of error = 6240/27 = 231.11
mean of squares for treatment = 4560/2 = 2280
test stat
F = 2280/231.11
= 9.8654
using f distribution table;
alpha = 0.05
df = 2 , 27
we get 3.35
h0; no difference in mean
h1; there is difference
9.87 > 3.35 so we reject H0, there is difference in means. all are not equal.
pvalue calculation
using excel,
FDIST(9.8654, 2, 27) = 0.0006078
p value is less than 0.01
we conclude that a. Not all means of the three assembly methods are equal
Can someone give me an example of substitution
Answer:
Substituton is like being a back up to anything and for anuone
The ratio of cats to dogs is 5:4 in Riverside. If there are 20 dogs, how many cats live in Riverside?
Select one:
25
20
30
16
Answer:
25
Step-by-step explanation:
c to d is 5 to 4
5x5=25
fffff
Answer:
25
Step-by-step explanation:
We need to divide 20 by 4 to see how much 1 equals in this problem.
20÷4=5
5 equals 1
Now we add 5 to 20 because the ratio is 5:4.
20+5=25
Our answer is 25.
Gavin invested $350 in an account paying an interest rate of 4.7% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $890?
Answer:
Gavin will have to invest his money for 20 years to reach that sum of money.
Step-by-step explanation:
Given that Gavin invested $ 350 in an account paying an interest rate of 4.7% compounded continuously, assuming no deposits or withdrawals are made, to determine how long would it take to the nearest tenth of a year for the value of the account to reach $ 890 se you must perform the following calculation:
890 = 350 x (1 + 0.047 / 365) ^ X x 365
X = 20
Thus, Gavin will have to invest his money for 20 years to reach that sum of money.
I will give brainliest
Answer:
Refer the attachment for explanation :
Gretchen has the highest ratio of blue and red marbles.
Hope it helps :)
Cherries are $3.99 a pound at the local market. If you buy 6 pounds and pay 8% tax, how much is the total for the cherries?
Answer:
24.02 can i get brainliest
Step-by-step explanation:
Evaluate the expression.
3×2⁴
help!!!!!!!!!!!!!!!!
pens and pencils are sold in a shop. 12 pencils cost £1.80. the ratio of the cost of a pen to the cost of a pencil is 7: 3. workout the cost of 5 pen
Answer:
£2.10
Step-by-step explanation:
1.80 divided by .12 = .15
.15 times 7 = 1.05
1.05 divided by 3 = .35
.35 times 5 = 2.10
The cost of 5 pens will be £1.75
Since 12 pencils cost £1.80, the price of a pencil will be gotten by dividing £1.80 by 12. This will be:
= £1.80 / 12
= £0.15
A pencil costs £0.15
Since the ratio of the cost of a pen to the cost of a pencil is 7: 3, therefore, the cost of a pen will be:
= 7/3 × £0.15
= £0.35.
The cost of a pen is £0.35, therefore, the cost of 5 pens will be:
= £0.35 × 5
= £1.75
In conclusion, the cost of 5 pen is £1.75.
Read related link on:
https://brainly.com/question/18677067
What is four plus eight
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
you take the number 8 and then you add 4. and you find yourself with the answer 12
Which of the following options have the same value as 96% of 25?
Choose 2 answers:
96
100
• 25
Pro
B
0.96 - 25
Tea
0.96 . 0.25
96 25
100 100
96 - 25
Answer:
A
Step-by-step explanation:
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We wish to modify the cellular telephone coding system in order to reduce the number of errors. In particular, if there are two or three zeroes in the received sequence of 5 bits, we will say that a deletion (event D) occurs. Otherwise, if at least 4 zeroes are received, then the receiver decides a zero was sent. Similarly, if at least 4 ones are received, then the receiver decides a one was sent. We say that an error occurs if either a one was sent and the receiver decides zero was sent or if a zero was sent and the receiver decides a one was sent. For this modified protocol, what is the probability P[E] of an error? What is the probability P[D] of a deletion?
Solution :
Here, we have 5 trails that corresponds to the 5 times the binary symbol is sent. On each trail, success is said to occur when the binary symbol is received correctly. The probability of a success is p = 1 - q = 0.9 and q = 0.1
Now if the 0 is being transmitted, then the 0 is sent 5 number of times and then we call the decoding a 0 success. Let the repeated transmission are independent. In this case, we have 5 trails. Let each repeated bit the receiver decodes as 1 a success, using the binomial probabilities. We using the [tex]$S_{k,5}$[/tex] to denote an event of [tex]$k$[/tex] successes in the 5 trails, then the probability k are decoded at the receiver is:
[tex]$P[S_{k,5}]=\binom{5}{k}p^k(1-p)^{5-k}$[/tex]
[tex]$=\binom{5}{k}(0.9)^k(1-0.9)^{5-k}$[/tex]
[tex]$=\binom{5}{k}(0.9)^k(0.1)^{5-k}$[/tex]
Here, k = 1, 2, 3, 4, 5
The probability of the transmitted bit to be decoded correctly is:
[tex]$P[C]=P[S_{5,5}]+P[S_{2,5}]$[/tex]
[tex]$=\binom{5}{3}(0.9)^5(0.1)^{0}+\binom{5}{4}(0.9)^4(0.1)^1$[/tex]
[tex]$=(0.9)^5+5(0.9)^4(0.1)^1$[/tex]
= 0.91854
The probability that the deletion occurs is
[tex]$P[D]=P[S_{3,5}]+P[S_{2,5}]$[/tex]
[tex]$=\binom{5}{3}(0.9)^3(0.1)^{2}+\binom{5}{2}(0.9)^2(0.1)^3$[/tex]
[tex]$=10(0.9)^3(0.1)^2+10(0.9)^2(0.1)^3$[/tex]
= 0.081
The probability of an error is
[tex]$P[E]=P[S_{1,5}]+P[S_{0,5}]$[/tex]
[tex]$=\binom{5}{1}(0.9)^1(0.1)^{4}+\binom{5}{0}(0.9)^0(0.1)^5$[/tex]
[tex]$=5(0.9)^1(0.1)^4+(0.1)^5$[/tex]
= 0.00046
Determine if the pairs of expressions below are always equivalent. Prove your answer
A. 4n + 12 and 4 (n +3)
B. m + m 3m and 3m + 2
C. 4x + 8y and 4 (x + 8y)
D. 3 (2t + 2 ) and ( t + 1 ) x 6
E. p + p and p + 7
Corey records the temperature in degrees Celsius each morning. At 8am the temperature was 3 degrees below zero. It rose 3 degrees by 10am. Which equation shows the change in temperature from 8am to 10am?
A 3+3=6
B-3+3=0
C-3+3= -6
D-3-3= -6
what is 8x5 please help
Answer:
8x5 equals 40.
Step-by-step explanation:
Answer:
8x5 is 40, hope that helped :)
find the value of x
Answer:20
Step-by-step explanation:
the other side is a mirror it would be 20 as well
Give me the answer please
Tom is 10 years younger than Becky. In two years, Becky will be twice as old as Tom. How old is Tom now?
Answer:
20
Step-by-step explanation:
Answer:
tom is 8 and becky is 18 now
Step-by-step explanation:
in two years becky would be 20 and tom will be 10
hope this helps
Prove that the following triangles are similar?
Answer:
You have that:
angle N = angle Z
and
angle ZYX = angle NYM (because they are vertical angles
Since you have two congruent angles, you can say that the two triangles are similar according to the AA Triangle Similarity Postulate.
You had a 78% the first nine weeks and a 84% the second nine weeks. What is the percent increase? Round to the nearest tenth.
Answer:
70 percent?
Step-by-step explanation:
I hope this helps:)
Acellus
Corresponding Angles are congruent.
Which angle corresponds with < 2?
4246 4342
4845 44141
«[?]
Enter
Answer:
<6
Step-by-step explanation:
Corresponding angles have the same matching corner when a transversal line crosses tow straight lines.
Thus, in the diagram given, the angle that has the same matching corner with <2 is the angle that corresponds to <2.
<6 has the same matching corner with <2.
Therefore, <6 corresponds with <2
is 0.23 or 2.3% greater?
Answer:
0.23
Step-by-step explanation:
If you convert 0.23 into a percent, it becomes 23%, which is more than 2.3%.
Hope that helps!
-Sabrina
Can someone please help me complete the factoring of the polynomial
The ratio of two numbers is 7 to 5. The sum of the numbers is 36. What are the numbers?
A. 26 and 10
B. 18 and 8
C. 21 and 15
D. 14 and 10
Answer:
Step-by-step explanation:
a/b=7/5
a=7b/5
a+b=36, using 7b/5 for a we have
7b/5+b=36
7b/5+5b/5=36
12b/5=36
12b=180
b=15, and since a=7b/5
a=7(15)/5
a=21
So the numbers are 21 and 15
Answer:
C is the correct answer please like for more
The volume of a cylinder is represented by the equation V Tarah, where V is the
volume of the cylinder, r is the radius of the base, and h is the height of the cylinder.
Solve the equation in terms of r.
Answer:
[tex]r=\sqrt{\dfrac{3V}{\pi h}}[/tex]
Step-by-step explanation:
The volume of a cylinder is given by :
[tex]V=\dfrac{1}{3}\pi r^2h[/tex] .....(1)
Where
r and h are the radius and the height of the cylinder.
We need to solve the equation of r. Cross multiplying both sides in equation (1).
[tex]3V=\pi r^2h[/tex]
Dividing both sides by [tex]\pi h[/tex]. So,
[tex]\dfrac{3V}{\pi h}=\dfrac{\pi r^2h}{\pi h}\\\\r^2=\dfrac{3V}{\pi h}\\\\or\\\\r=\sqrt{\dfrac{3V}{\pi h}}[/tex]
So, the radius of the cylinder is equal to [tex]\sqrt{\dfrac{3V}{\pi h}}[/tex].
PLEASE HELP *I would also appreciate if you could show how you do the problem* I WILL MARK YOU BRAINIEST*
Answer:
x=2
Step-by-step explanation:
x=2 i believe. i apologize if incorrect
Answer:
I don’t know how to solve the equation with algebra tiles but here’s the answer without using them
4x-3=5
Add 3 to both sides of the equation to balance it out
4x=8
Divide both sides by 4 to get
x=2
Please hurry
Which table contains data with a nonproportional relationship?
Do you guys see 4 picture?
Answer: x
Step-by-step explanation:
The circumference of the smaller circle is 20% of the circumference of the larger circle. Find the circumference of the larger circle. Round your answer to the nearest tenth.
Answer:
92.5
Step-by-step explanation:
Solve the following system of equations by substitution. Which of the following is the solution?
Answer:
It is (1,5) :)