Answer:
[tex]Q = 1[/tex]
[tex]M = 2[/tex]
Step-by-step explanation:
Solving (a):
Given: 1-32-794182- Q
Required: Find Q
To do this, we first multiply each digit in descending order of 10.
So, we have:
[tex]Product = 1 * 10 + 3 * 9 + 2 * 8 + 7 * 7 + 9 * 6 + 4 * 5 + 1 * 4 + 8 * 3 + 2 * 2 + Q * 1[/tex]
[tex]Product = 208 + Q *1[/tex]
[tex]Product = 208 + Q[/tex]
Equate the modulus of the product by 11 to 0
[tex]Product \% 11 = 0[/tex]
[tex](208 + Q) \% 11 = 0[/tex]
The next number greater than 208 divisible by 11 is 209.
So, we have:
[tex](208 + Q) \% 11 = 209 \% 11[/tex]
Express 209 as 208 + 1
[tex](208 + Q) \% 11 = (208 + 1)\% 11[/tex]
By comparison:
[tex]Q = 1[/tex]
Hence, the checksum is 1
Solving (a):
Given: 2-429-39M18-6
Required: Find M
Apply the same step in (a)
So, we have:
[tex]Product = 2 * 10 + 4 * 9 + 2 * 8 + 9 * 7 + 3 * 6 + 9 * 5 + M * 4 + 1 * 3 + 8 * 2 + 6 * 1[/tex]
[tex]Product = 198 + 4M + 25[/tex]
[tex]Product = 223+ 4M[/tex]
Equate the modulus of the product by 11 to 0
[tex]Product \% 11 = 0[/tex]
[tex](223+ 4M) \% 11 = 0[/tex]
The next number greater than 223 divisible by 11 is 231.
So, we have:
[tex](223+ 4M) \% 11 = 231 \% 11[/tex]
Express 231 as 223 + 8
[tex](223+ 4M) \% 11 = (223 + 8) \% 11[/tex]
By comparison:
[tex]4M = 8[/tex]
Divide both sides by 4
[tex]M = 2[/tex]
In ΔRST, s = 3.5 cm, r = 5.4 cm and ∠R=49°. Find all possible values of ∠S, to the nearest 10th of a degree.
Answer:
29.3
Step-by-step explanation:
Sin(49)/5.4 = Sin(S)/3.5
Cross multiply.
0.4891636168
Sin^-1(0.4891636168) = 29.28562335
Round to nearest tenth.
29.3
Can someone please give me the answer I will mark u brilliant
Adalia has a cooler where the inside is in a shape of a rectangular prism. The inside of the cooler is 20 inches wide, 14 inches high, and 12 inches long. What is the volume in cubic inches of the inside of the cooler?
( will give brainliest if u help)
Answer:
A.
Step-by-step explanation:
took test
A football team received a gain of 12 yards on their first play of the game. Write an integer to
represent this situation?
-2(n+3)=13 help plz plz plz
Answer:
n = -9.5 or n = -19/2
Step-by-step explanation:
Number 1 and solve please
ok.........................................
if Patty has 56 apples and And has 87 pears how many grapes do they have in total including Ava's 890 blueberries?
Answer:
Patty has 10 onions, And has 500 watermelons and Ava has a banana
Which point shows a reflection of point X(9, -2) over the x-axis?
Answer:(9,2)
Step-by-step explanation:
HELP PLEASE DUE IN 3 MINUTES
Answer:
1/5
Step-by-step explanation:
3/5 * 1/3 == 3/15 or 1/5
Answer:
1/3 I believe I could be wrong
Step-by-step explanation:
plzzz help will mark you brainliest
Answer:
C, y =8x
Step-by-step explanation:
As you can see from the table, y is basically x multiplied by 8 at all instances.
Answer: y=8x
Step-by-step explanation:
y=8x means that the number in the y column (the total cost) equals whatever is in the x column (number of tickets) times by 8. The reason you do times is because in algebra when a number is next to a letter it means times.
So, you can test it using the data in the table:
16=2×8
24=3×8
32=4×8 etc.
And we know it works.
Hope this helps :)
Help please, I'm stuck
Answer:
Z<-3 is the anwser to this question, good luck !
Multiply through by LCM, 4
[tex] \frac{ - 3z - 1}{2} \times 4 > \: \: \: \frac{4}{1} \times 4[/tex]
[tex]2( - 3z - 1) > 16[/tex]
[tex] - 6z - 2 > 16[/tex]
[tex] - 6z > 16 + 2[/tex]
[tex] - 6z > 18[/tex]
[tex] \frac{ - 6z}{ - 6} < \frac{18}{ - 6} [/tex]
[tex]z < - 3[/tex]
Tanner is an 8th grader in Texas and wants to attend Stanford University after he graduates from
high school. Stanford is a private university and one year of tuition cost $46,320. He plans to attend
Stanford for four years and graduate with a bachelor's degree. His parents have committed to giving
him $8,000 each year towards tuition. Tanner plans to save for the next four years to prepare for the
cost. Determine the minimum amount of money he will need to save each month to pay for one year
of tuition.
Tanner will have to save $3,193.34 per month for 4 years to pay his tuition for Stanford.
Tanner's tuition over 4 years to get his Bachelor's degree all together will cost $185,280 (multiply 46,320×4). His parents will pay $32,000 (multiply 8,000×4) of his whole tuition. If we do the equation $185,280-$32,000 we get $153,280 which is what Tanner will have to pay. There are 48 months in 4 years. To find the answer you must solve the problem 48x= $153,280. To solve the problem divide both sides by 48. The answer to this equation is technically $3,193.3333333333 but for simplicity's sake we can round to $3,193.34. That is why the answer to this question is $3,193.34 per month of savings.
buna seara ce faceti eu sunt un om
Answer:
5
Step-by-step explanation:
Answer:
Sunt și bărbat, ești foarte înfiorător
Step-by-step explanation:
Rory earned an 84% on his test. He answered 21 questions correctly. How many total questions were on the
test? Round to the nearest tenth if necessary
Answer:
25 questions,
$18.75
Step-by-step explanation:
Remember, to change percents to decimals, divide the number by 100 and remove the parentheses.
1. 84%, or 21 questions of Roy's test were correct.
Let's set the number of questions on the test as "x". We can then write this equation:
84% * x = 21
Simplify.
0.84 * x = 21
Divide both sides by 0.84
x = 25
There were 25 questions on the test.
2. Cheesecake Factory question
We need to find 15% of 125.
15% * 125 =
0.15 * 125 =
18.75
They need to leave a $18.75 tip.
I hope this helps! Feel free to ask any questions!
Allison Amy decide to meet from a party for my corner of the party hall any spots Alice at the corner of the hall diagonally opposite of her if the party hall is a rectangle that measures 100 feet by 60 feet what is the shortest distance they may have to walk to reach Alice round your answer to the nearest Foot
Answer:
Given that the hall is rectangular in shape, then the shortest path that Amy must travel to reach Alice would be through the hall's diagonal. Applying the Pythagorean theorem, with the length and width as the legs and the diagonal as the hypotenuse of the right triangle. Thus, diagonal = √ ( 100² + 60²) = √13 600 ≈ 116.62 ft The shortest distance, rounded off to the nearest foot, is 117 ft.
Step-by-step explanation:
its already an explanation...
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
15
12
Answer:
x = 9
Step-by-step explanation:
[tex]a^{2} = c^{2} - b^{2}[/tex]
[tex]a^{2} = 15^{2} - 12^{2}[/tex]
[tex]a^{2} = 225 - 144[/tex]
[tex]a^{2} = 81[/tex]
[tex]\sqrt{a^2} = \sqrt{81}[/tex]
[tex]a = 9[/tex]
the currency in sweden is the kronor. the exchange rate is approximately $1 for every 7 kronor. at this rate, how many dollars would you get if you exchanged 14 kronor?
Answer:
$2
Step-by-step explanation:
If $1 = 7 kronor, 2$ would = 14 kronor
We would get $2 if we exchanged 14 kronor a the given exchange rate.
What is Kronor?Kronor is the currency of Sweden.
How much Kronor is one Dollar?One dollar is the equivalent of 7 kronor.
It is given that $1 = 7 kronor. We have to multiply the entire equation by 2. If we multiply this by 2, we get:
$2= 14 kronor
Therefore we have found that we would get $2 if we exchanged 14 kronor a the given exchange rate of $1 for every 7 kronor.
Learn more about exchange rates here- https://brainly.com/question/1622216
#SPJ2
13. In the given circle, AB = 13 m, BC = 6 m, and CD = 8 m. If DE = x, find the value
of x. (The figure is not drawn to scale.)
E
x
A
B
A. 13.25 m
B. 9.75 m
C. 6.25 m
D. 14.25 m
do you know what the answer was?
We are formulating a 90% confidence interval for the population mean and would like our confidence interval to have a margin of error that is not larger than 3. Experience suggests that a reasonable estimate for the population standard deviation is 15. What minimum sample size should be anticipate using? (NOTE: Round your final answer up to the next whole number).
Answer:
A sample size of 68 should be anticipated using.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Experience suggests that a reasonable estimate for the population standard deviation is 15
This means that [tex]\sigma = 15[/tex]
What minimum sample size should be anticipate using?
Margin of error at most 3, which means that the sample size is n when M = 3. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]3 = 1.645\frac{15}{\sqrt{n}}[/tex]
[tex]3\sqrt{n} = 1.645*15[/tex]
Simplifying both sides by 3:
[tex]\sqrt{n} = 1.645*5[/tex]
[tex](\sqrt{n})^2 = (1.645*5)^2[/tex]
[tex]n = 67.7[/tex]
Rounding up
A sample size of 68 should be anticipated using.
Plss help me will mark brainliest
Answer:
45-degrees
Step-by-step explanation:
The triangle is a 90-degree triangle
Triangles = 180-degrees
90 + 45 + 45 = 180
how many minutes are there in 12.5 hours
Answer:
750 minutes
Step-by-step explanation:
there are 750 minutes in 12,5 hours hope that helps
Answer:
Everyone else is correct it's 750 minutes
the area of a 12-cm-wide rectangle is 288 cm^2 what is its length?
Answer:
24cm
Step-by-step explanation:
The area of the rectangle is length × breadth. You already know the area and the breadth, so you can find the length.
288cm² = length × 12cm
length = 288cm² ÷ 12cm
= 24cm
Falisha spent 2/5 of her money on a bag. she gave 2/3 of the remaining amount to her sister. What fraction of her money was she left with?
Answer:
1/5
Step-by-step explanation:
After spending 2/5 of her money on a bag, she has 3/5 of the original amount of money left. As she gave 2/3 of the remaining amount of money to her sister, she gave 2/5 of the original amount of money to her sister (3/5 × 2/3 = 2/5). Therefore, there's only 1/5 (1 - 2/5 - 2/5 = 1/5) of the original amount of money left in her bag.
A cola container is in the shape of a right cylinder. The radius of the base is 4 centimeters, and the height is 12 centimeters. What is the volume of the container?
A. 225
B. 192
C. 136
D. 216
Answer:
Step-by-step explanation:
I need help please do this for me
49 times 3 divided by 7 square it times 1/4 Add 3/4
Answer:
3/2 or 1.5 or 1 1/2
Step-by-step explanation:
2/7 of students in a school are in 8th grade.
How many students are in the school if 40 of them are 8th graders?
Answer:
140
Step-by-step explanation:
First we would find the unit rate of students per seventh. So we would do 40 divided by 2 which gives us 20. So per 1/7 we have 20 students. Which we can then say 7 x 20 = 140. So in total there are 140 students
Hope this helped
Gary can paint a garage in 8 hours. Gary van do it in 6 hours. How long will it take if they all paint together?
g Based on data from the Garbage Project conducted by the Midwestern State University the weights of paper discarded by the households in a certain residential area weekly is Normally distributed with the average of 7.95 lb and the standard deviation of 3.12 lb. Which value separates the top 2% of the weekly discarded paper weights in this area
Answer:
The value of 14.36 lb separates the top 2% of the weekly discarded paper weights in this area.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Normally distributed with the average of 7.95 lb and the standard deviation of 3.12 lb.
This means that [tex]\mu = 7.95, \sigma = 3.12[/tex]
Which value separates the top 2% of the weekly discarded paper weights in this area?
This is the 100 - 2 = 98th percentile, which is X when Z has a pvalue of 0.98. So X when Z = 2.054.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]2.054 = \frac{X - 7.95}{3.12}[/tex]
[tex]X - 7.95 = 2.054*3.12[/tex]
[tex]X = 14.36[/tex]
The value of 14.36 lb separates the top 2% of the weekly discarded paper weights in this area.
Liz deposited $2,000 into a savings account that pays 8% compounded quarterly. Complete the table to compute the amount in the account after 1 year
Can someone please help
Answer:
12x+3x=15+6
15x=21
divide both sides by 15
x=7/5
Answer:
hey well use transposition method in this
so 12x-15=6-3x
so.12x+3x-15=6 (we transposed-3 to other side so it became +3)
15x-15=6
15x=6+15
15x=21
X=21/15
X= 1.4
I think I'm correct but if wrong pls don't report me just correct me so I can learn