Answer:
11
Step-by-step explanation:
We can have any. two numbers that represent a and b
It CANT BE THIS FOLLOWING
A AND B CANT BE ZERO SO WE CAN USE MULTIPLES OF 10
A CANT BE EQUAL TO B SO WE CANT USE MULTIPLES OF 11( ALL THE WAY UP TO 99 BUT WE CANT USE ANY NUMBER AFTER THAT SINCE NUMBERS THAT COME AFTER 99 ARE THREE DIGIT NUMBER)
Let use 5 and 6.
56
Reverse the digits
65
add 56 to 65
121
Divide this by 6+5=11
The answer is 11 This vary for all answers let use 1,7
17 then reverse
71 then add 71 and 17
88 then divide by 1+7=8
11
The quotient is 11.
Step-by-step explanation:
Given:
A two-digit number,'ab'.
Where a and b are non-zero and are unequal to each other.
To find:
Quotient after dividing the sum of the given digit and its reverse with(a+b).
Solution:
The given digit = [tex]ab = (10a+b)[/tex]
[tex]Where:\\a \neq b, a\neq 0,b\neq 0[/tex]
On reversing the given digit =[tex]ba = (10b +a)[/tex]
Now adding the given digit and its reverse:
[tex]= ab +ba = (10a+b)+(10b+a)\\=(11a+11b)=11(a+b)[/tex]
Diving the sum with (a+b):
[tex]=\frac{11(a+b)}{(a+b)}=11[/tex]
The quotient is 11.
Learn more about algebra here:
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Juries should have the same racial distribution as the surrounding communities. According to the U.S. Census Bureau, 18% of residents in Minneapolis, Minnesota, are African Americans. Suppose a local court will randomly sample 100 state residents and will then observe the proportion in the sample who are African American. How likely is the resulting sample proportion to be between 0.066 and 0.294 (i.e., 6.6% to 29.4% African American)
Answer:
0.997 = 99.7% probability that the resulting sample proportion to be between 0.066 and 0.294
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
18% of residents in Minneapolis, Minnesota, are African Americans. Suppose a local court will randomly sample 100 state residents and will then observe the proportion in the sample who are African American.
This means that [tex]p = 0.18, n = 100[/tex]
So, by the Central Limit Theorem:
[tex]\mu = 0.18, s = \sqrt{\frac{0.18*0.82}{100}} = 0.0384[/tex]
How likely is the resulting sample proportion to be between 0.066 and 0.294?
This is the pvalue of Z when X = 0.294 subtracted by the pvalue of Z when X = 0.066. So
X = 0.294
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.294 - 0.18}{0.0384}[/tex]
[tex]Z = 2.97[/tex]
[tex]Z = 2.97[/tex] has a pvalue of 0.9985
X = 0.066
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.066 - 0.18}{0.0384}[/tex]
[tex]Z = -2.97[/tex]
[tex]Z = -2.97[/tex] has a pvalue of 0.0015
0.9985 - 0.0015 = 0.997
0.997 = 99.7% probability that the resulting sample proportion to be between 0.066 and 0.294
Lydia dusted 3/8 of the furniture pieces in her home on Monday. On Tuesday, she dusted 1/4
of them. How much more of the dusting did Lydia finish on Monday?
A. 1/8
B.1/4
C.3/8
Answer:
A
Step-by-step explanation:
3/8
1/4× 2
3/8
-2/8
1/8
if that makes sense to you.
Find 30% of 70 whats your right one
Answer:
21
Step-by-step explanation:
I hope this helps!
Which angles are complementary to each other?
5
25 and 23
25 and 24
21 and 22
21 and 24
Reflect (5, 4) over the y-axis.
Then translate the result to the right 2 units.
What are the coordinates of the final point?
Answer:
(-3, 4)
Step-by-step explanation:
How many solutions does the system of linear equations have?
y = 4x - 7
y = x – 3
Choose 1 answer:
Exactly one solution
No solutions
Infinitely many solutions
Answer:
X = 4/3 Exactly one solution
Step-by-step explanation:
x-3 = 4x-7
x = 4x-4
-3x = -4
x = 4/3
5 DdMll, 6 UdMll, 8 Cmil, 1 Dmil,
9 Umil, 7 c, 2 d, 3 u.
(valor posicional)
Answer:
A
Algebra For what values of the variables must ABCD be a parallelogram?
B
23. A 2y + 2 B 24. B
(3x + 10)
(8x + 5)º
3x + 6
54°
D
С
D
A
Зу - 9 с
ly+4
Can I get some help I don’t get this
Answer: 3 1/30
Step-by-step explanation:
Hi, IReady sucks. So I am gonna help you. I got 3 1/30 when you add them together. I would also recommend using a Fraction Calculator online. ;) it helps a lot!
A carpenter needs to cut a 5 foot, 8 inch piece of wood from an 8-foot board to make a repair to a door. How many inches of wood will he have left after he makes the cut and repairs the cut and repairs the door?
Answer:
Step-by-step explanation:
1 foot = 12 inches
length of board in inches = 8 ft × (12 in)/ft = 96 in
length of cut in inches = 5 ft + 8 in = 5 ft × (12 in)/ft + 8 in = 60 in + 8 in = 68 in.
96 - 68 = 28 inches left
hurry I need it quickly
1. Write the ratio below as a decimal (per one). Round your answer to the nearest hundredths place.
2 weeks to 46 days
2,Professor Ivy records the following scores on her final: 35, 48, 48, 52, 69, 72, 81, 88, 92. What is the median score for the final?
3. Professor Ivy’s students have the following scores on her Exam. Find the mean value, round to the tenths place.
76 88 67 88 91 69 45 92 52 38 98
two trains depart the station in different directions. their paths are at a 90-degree angle from one another, as shown in the following illustration. Train 1 leaves the station traveling at 50 mph. Train 2 leaves the station one hour later traveling at 75 mph. Assuming the t represents the time that train 1 had been in route, which of the following inequalities can be used to calculate the values of t for which the distance between the trains is greater than or equal to 100 miles?
Answer:
8125t^2-11250t^2+5625 greater than or equal to > 100
Step-by-step explanation:
PLATO
Factor as the product of two binomial X^2-100=
Answer:
x^2 - 100 = (x + 10) * (x - 10)
Step-by-step explanation:
Recall that 100 is the perfect square of 10:
10^2 = 100
then we can use the formula for factorization of a difference of squares:
x^2 - 10^2 = (x + 10) * (x - 10)
An airline charges $462.40 for all the passengers on the plane to have pretzels. Each
bag of pretzels is $3.40. How many passengers are on the plane?
Plz help ty
Answer:
136 people
Step-by-step explanation:
$462.40 divided by 3.40 is 136
What are the lengths of the legs of a right triangle in which one acute angle measures 19° and the hypotenuse is 15 units long?
OA 9 units, 12 units
OB. 11 units, 10.2 units
OC 4.9 units, 15.8 units
OD 4.9 units, 14.2 units
OE 5.2 units, 14.1 units
Answer:
D) 4.9 units, 14.2 units
Step-by-step explanation:
I assume that we will be using trigonmetry as this is a right triangle
The two ratios that will be used are CAH (Cosine = adjacent/hypotneuse)
and SOH (Sine = opposite/hypotneuse)
While it does not matter which acute angle the problem is to, I decided to set up the triangle like so in the picture attached
This means x = adjacent and y = opposite here
Now we just need to plug in the numbers to find the missing variables
x) cos(19) = x/15
(15)cos(19) = x/15(15)
~14.2 = x
y) sin(19) = y/15
(15)sin(19) = y/15(15)
~4.9 = y
Hope that helps a bit
I took waaay too long to explain this lol
The value of x for the triangle is 14.2 and the value of y is 4.9. The correct option is D.
What is trigonometry?Trigonometry is the branch of mathematics that establishes a relationship between the sides and angles of a right-angle triangle.
The mathematical trigonometric functions, sometimes referred to as circle, angle, or goniometric functions, relate the angle of a right-angled triangle to the ratios of its two side lengths.
Calculate the value of x as below,
xcos(19) = x/15
(15)cos(19) = x/15(15)
14.2 = x
The value of y is calculated as,
ysin(19) = y/15
(15)sin(19) = y/15(15)
4.9 = y
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How do I solve this?
Answer:
Answer A represents this
x <= -3 ; x > 9
Step-by-step explanation:
Isolate x on each of the inequalities:
4 x + 4 <= - 8
subtract 4 from both sides
4 x <= - 12
divide both sides by 4 to isolate x completely (notice 4 is positive, so there is NO flipping of the inequality symbol)
x <= -3
This inequality is represented by shading the left section of the number line starting at x = -3 (make sure you draw a SOLID dot to mae clear that the point x = -3 is also included in your drawing.
The other inequality:
11 x - 11 > 88
add 11 to both sides
11 x > 99
divide both sides by 11 to isolate x (notice again that 11 is a positive number, so the inequality doesn't change with the division)
x > 9
This inequality is represented by shadowing the right hand side of the number line starting at x = 9. Make sure you draw an EMPTY dot on the number 9 to indicate that x = 9 is NOT included.
10. Which is the equation of a line that passes through (-2,-1) and (-4,-3)?
Answer:
Y axis
Step-by-step explanation:
Dont have a explanation
please help i will mark branliest
Answer:
58.24
Step-by-step explanation:
9.1 x 6.4 = 58.2!!
bh = a
hope I helped
Answer:
58.24 :)
A=bh=9.1·6.4=58.24
2 hours 17 minutes 2 hours 48 minutes 1 hour 53 minutes 2 hours 19 minutes 1 hour 38 minutes what it the team's score
Answer:
8 hours and 175 minutes.
Step-by-step explanation:
So first add all the hours together: 2 + 2 + 1 + 2 + 1 = 8 Hours.
Then add all the minutes together: 17 + 48 + 53 + 19 + 38 = 175 Minutes.
Therefore, the team's score is 8 hours and 175 minutes.
I hope this helped!
Answer: 11hours 55minutes
Evaluate the function at the given values.
f(x) = 4x-5
a. f(6)
b. f(-1/2)
c. f(0)
Answer:
C. F(0)
Step-by-step explanation:
Add 5 to both sides. 5(x)=4(x)
5(0)=4(0) because 5 x 0 = 0 and 4 x 0 = 0.
Your grandfather has enjoyed good vision for most of his 80 years. You observe him having trouble reading websites on his new iPad, squinting while he moves it towards and away from his face. You realize he might benefit from reading glasses. Since you were going out anyway, you offer to pick up a pair of glasses for him at the drug store. Consider that your grandfather is at his most comfortable reading posture when he is holding the iPad at a distance of 18 inches.
a. What dioptric power of reading glasses should you get for your grandfather? Note that reading glasses are normally available in increments of 0.25 Diopter.
b. It occurs to you that you could have just shown grandpa how to make the displayed content appear larger on the iPad by adjusting the display "zoom". What percentage zoom (100% is the default view, 200% would make text and images twice as large) would give your grandfather a similar viewing experience to wearing the reading glasses you were planning to purchase?
Answer:
Step-by-step explanation:
Given that:
The focal point = 18 inches
= (18 × 0.0254)m
= 0.4572 m
= 45.7 cm
For such a comfortable distance of 45.7 cm, the perfect lens power for grandfather can be determined.
Let's recall that, the accommodation amplitude usually decreases with age and eventually becomes 1 D after the age of 50.
Thus, +2.5D or a convex lens appears to be a perfect one.
b. We will agree that Diopter illustrates the optical power or most at times the capability of the lens.
So, 3D is equally 1.75X magnification which is likely to be double the zoom as it will be helpful to the grandfather.
Now, for a 2.5D, approximately 1.5X zooming once(200%) will be perfect and equal to viewing with the reading glasses.
Evaluate the expression when c=5 and d=7.
c+6d
Help!!!!
Answer:
47
Step-by-step explanation:
substitute the value of 5 in for c and 7 in for d;
(5) + 6(7)
5 + 42
47
thank you in advance!!
Answer:
Fourth option: y = 2/5x - 3
Step-by-step explanation:
it is perpendicular :)
Answer:
Your answer y=-5/2x + 6
Mark it as brainlist answer. As soon as possible.
(+4) + (+9) + (+8) =
(+4) + ( -6) + (+8) =
5 ) ( -2) + (+5) + (+2) =
(+7) + (+2) + ( 0) =
Answer:
Question 1: 21
Question 2: 6
Question 3: -3
Question 4: 9
Cost of five lemons is $2.
What is the cost per lemon?
Answer: $
per lemon
Part B
At this rate, what is the cost of 9 lemons?
Answer:
Part a: $0.40 per lemon, Part b: $3.60
Step-by-step explanation:
Because the cost of five lemons is $2, it would be: 5 lemon = $2
$2/5 lemons = $x/1 lemon
so divide by 5 on the numerator and denominator. 2 divided by 5 = 0.4
So part a: 40 cents or $0.40 per lemon!
Part B:
cost of 1 lemon compared to 9 lemons:
$0.40/1 = x/9
Multiply both numerator and denominator by 9
So, it costs $3.60 for 9 lemons.
Plz help guys! I will mark everyone who answers correctly for each one! Plz!
Sam is 4 years younger than Amy. Five years ago he was half her age. How old are they now?
Answer
Answer:
Let's say that x is sam's age and y is Amy's age
x=y-4
and five years ago:
x-5=(y-5)/2
y-4-5=(y-5)/2
2y-18=y-5
y=13
x=9
then:
sam's age is 9 and Amy's age is 13
Answer:
Sam: 9, Amy: 13
Step-by-step explanation:
So five years ago, lets say Sam was 4, and Amy was 8. That would be half Amy's age. If we add on 5 to Sams age, as it says, Amy would then be 13, and Sam would be 9. This is also four years apart. Thus, the answers are Sam: 9 and Amy: 13
Ms.beatly Is trying to get healthy and starts running in the morning.She is able to run 5 miles in 45 minutes how many how many minutes does is for her to run 1 miles
Answer:
1. 9 minutes
Step-by-step explanation:
1. If she runs 5 miles in 45 minutes, you have 5 miles = 45 minutes. If you divide both sides of this ratio by 5, you get 1 miles = 9 minutes
2. Find out how many each person sells per week:
Emily: 4 boxes = 2 weeks
divide both sides by 2
2 boxes = 1 week
Jose: 9 boxes = 3 weeks
divide both sides by 3
3 boxes = 1 week
This means that jose sells more, because 3 boxes > 2 boxes
NEED HELP ASAP!!!!!!!
Step-by-step explanation:
It's must be -3 ...............
Gabrielle is 9 years younger than Mikhail. The sum of their ages is 35. What is Mikhail’ age?
Answer:
Mikhail = 22
Step-by-step explanation:
Mikhail = x
Gabrielle = x-9
x+x-9=35
2x=35+9
2x=44
x=22
How do I slove this question? I really need to find the correct answer please do help.
And provide an educated example.
Answer:
C,D,F
Step-by-step explanation:
3x -5x + 8x = 4x + 18
Answer:
x = 9
Step-by-step explanation:
6x = 4x + 18
6x - 4x = 18
2x = 18
x = 9
Answer:
-9
Step-by-step explanation:
3x−5x+8x=4x+18
Step 1: Simplify both sides of the equation.
3x−5x+8x=4x+18
3x+−5x+8x=4x+18
(3x+−5x+8x)=4x+18(Combine Like Terms)
6x=4x+18
6x=4x+18
Step 2: Subtract 4x from both sides.
6x−4x=4x+18−4x
2x=18
Step 3: Divide both sides by 2.
2x
2
=
18
2