Answer:
1089
Step-by-step explanation:
The original number is A0CD, We have that DC0A = 9 x A0CD.
If A =1, then D = 9 and we have:
9C01 = 9 x 10C9
In order for this expression to be true, the following must also be true:
(C x 9) + 8 must be divisible by 10, which means that C x 9 must end in a 2.
The only multiple of 9 (from 9 to 81) that ends in a 2 is 72.
72 = 9 x 8.
Therefore, C must be 8 and the original number is 1089. Multiply it by 9 to check the answer:
1089 x 9 = 9,081
Therefore, 1089 is correct.
A history instructor has given the same pretest and the same final examination each semester. He is interested in determining if there is a relationship between the scores of the two tests. He computes the linear correlation coefficient and notes that it is 1.15. What does this correlation coefficient value tell the instructor?
Answer:
The history instructor has made a computational error.
Step-by-step explanation:
We have that the data represents the linear correlation coefficient and notes it is 1.15
The linear correlation coefficient value which is 1.15 does tell the instructor that the history instructor has made a computational error due to the linear correlation coefficient value falls in the range -1 to +1.
Therefore, the history instructor has made a computational error.
If P = (5,-2), Find:
Rx-axis (P)
([?], []).
Answer:
[tex]R_{x-axis}[/tex] = (5,2)
Step-by-step explanation:
While reflection over x-axis, the x-coordinate remains the same and the y-coordinate changes to it's opposite.
So,
=> [tex]R_{x-axis}[/tex] = (5,2)
Which of the following statements is true for the figures shown?
Answer:
Option D is the correct answer.
Step-by-step explanation:
A-p-e-x :)
Two teaching methods, A and B, are implemented for learning Spanish. There is a 70% chance of successfully learning Spanish if method A is used, and a 85% chance of success if methodB is used. However, method B is substantially more 3. time consuming and is therefore used only 20% of the time (method A is used the other 80% of the time). The following notations are suggested:
A-Method A is used.
B-Method B is used.
L-Spanish was learned successfully Interpret each of the probabilities given in the original problem in probability
a) notation with their respective values (four of these).
b) Draw a Probability Tree representing each of the probabilities mentioned above.
c) What is the likelihood a person does not learn Spanish?
d) A student learned the spanish successfully. What is the probability that they were taught by method B?
Answer:
(a) Shown below.
(b) Shown below.
(c) The probability that a person does not learn Spanish is 0.18.
(d) The probability that method B was used given that a student learned the Spanish successfully is 0.83.
Step-by-step explanation:
(a)
Consider the provided data.
[tex]P(A)=0.20\\P(B)=0.80\\P(L|A)=0.70\\P(L|B)=0.85[/tex]
Then the probability of not learning Spanish using the respective methods are:
[tex]P(L'|A)=1-P(L|A)=1-0.70=0.30\\\\P(L'|B)=1-P(L|B)=1-0.70=0.15[/tex]
(b)
The Probability Tree representing each of the probabilities mentioned above is attached below.
(c)
Compute the probability that a person does not learn Spanish as follows:
[tex]P(L')=P(L'|A)P(A)+P(L'|B)P(B)[/tex]
[tex]=(0.30\times 0.20)+(0.15\times 0.80)\\\\=0.06+0.12\\\\=0.18[/tex]
Thus, the probability that a person does not learn Spanish is 0.18.
(d)
Compute the probability that method B was used given that a student learned the Spanish successfully as follows:
[tex]P(B|L)=\frac{P(L|B)P(B)}{P(L|A)P(A)+P(L|B)P(B)}[/tex]
[tex]=\frac{(0.85\times 0.80)}{(0.70\times 0.20)+(0.85\times 0.80)}\\\\=\frac{0.68}{0.14+0.68}\\\\=0.82927\\\\\approx 0.83[/tex]
Thus, the probability that method B was used given that a student learned the Spanish successfully is 0.83.
An irregular polygon is shown below: Image of irregular polygon with length of 7 units and height of 3 units labeled on left side. Top side length of 4 units, the side adjacent to it on the right is 2 units. The area of the irregular polygon is ____ square units.
Answer:
15
Step-by-step explanation:
MARK ME BRAINIEST PLEASE
The area of the irregular polygon will be 15 square units.
What is the area?The quantity area demonstrates the amount of a sector on a planar or hemispherical cup. Surface area refers to the area of an open surface or the border of a multi-object, whereas the area of a plane region or plane field refers to the area of a form or planar material.
An irregular polygon is shown below: Image of an irregular polygon with a length of 7 units and height of 3 units labeled on the left side. The top side length of 4 units and the side adjacent to it on the right is 2 units.
The diagram is given below. Then the area is given as,
A = 3 x 4 + 1 x 3
A = 12 + 3
A = 15 square units
The area of the irregular polygon will be 15 square units.
More about the area link is given below.
https://brainly.com/question/27683633
#SPJ3
Here is a Venn diagram. One of the numbers in the Venn diagram is picked at random. Find the probability that this number is in set C'
Answer:
5/6
Step-by-step explanation:
hello
in total there are 12 numbers
C has two items
so C' has 10 items
so the probability that this number is in set C' is 10/12=5/6
hope this helps
please help !! what’s the answer? i don’t understand !!
Answer:
992
Step-by-step explanation:
You must convert the meter the kilometer by miltiplying by 1000
and when you do it you must multiply 0.992 by 1000 since it is a fraction .
or you can work it this way :
0.992⇒1m x(the new rate) ⇒1000m x= 0.992*1000= 992A certain quantity decays exponentially over time. The initial quantity at t = 0 is 1,000. The quantity
decays at a rate of 2%. What is the quantity at t = 4?
A. 0.00016
B. 1.6000
C. 903.9208
D. 922.3682
Answer:
D: 922.3682
Step-by-step explanation:
First you take 1000 and subtract 20 from it.( 2% of 1000 = 1000x0.02x2=20).
You could do this on a calculator by entering 1000 and then subtracting 2% by clicking minus then, 2 then percent, then equals. you get 980. do the same to 980. (click minus, then 2, then percent, then equals). you get 960.4. do the same to 960.4. you get 941.192. do the same one more time since it says t=4 and you get 922.36816 which rounded to the nearest ten-thousandths is 922.3682.
hope this helped!
What is the slope of the line that contains the points (-1, 2) and (3, 3)?
O A. 4
O B. 4
ОС.
4
OD.
4
Answer:
the answer shoudl be OB 4
I am looking to decrease my bill by 25%. Can you look at my current plan and tell me what I can remove to achieve this reduction in cost? My current bill is $140.00 per month
Answer: $35
Step-by-step explanation:
From the question, we are informed that the current bill of the person is $140.00 per month and that the person wants to decrease the bill by 25%.
To know the amount that the person needs to deduct, we have to calculate 25% of $140.00. This will be:
= 25% of $140
= 25/100 × $140
= 1/4 × $140
= 0.25 × $140
= $35
The person will need to remove $35. The person will now pay ($140 - $35) = $105 monthly.
The amount that could be removed to achieve the specified reduction is $35.00
From the question,
We are to determine what should be removed from the current bill to decrease it by 25%
From the given information,
The current bill = $140.00 per month
Now, we will determine 25% of $140.00
That is,
[tex]\frac{25}{100}\times \$140.00[/tex]
= 25 × $1.40
= $35.00
Hence, the amount that could be removed to achieve the specified reduction is $35.00
Learn more here: https://brainly.com/question/10610667
The length of a square is 2x cm. The breadth and length of a rectangle are x cm and (2x + 1) cm
respectively. If both have the same perimeter. find the value of x.
Answer:
I hope it will help you.......
Describe how the graph of the parent function
y=
is transformed when graphing y = 8x - 3
The graph is translated 3 units
Answer:
Down
Stretched by a factor of 2
Step-by-step explanation:
The transformed function is translated to the right along the x-axis and stretched by a scale factor of 2.
What is transformation?A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.
Given is a function, y = [tex]\sqrt[3]{x}[/tex] being transformed into y = [tex]\sqrt[3]{8x} -3[/tex]
We see, that, in the function, 3 is being subtracted from x, we mean the translation is right along the x-axis
And, ∛x is converted into 2∛x, that shows a stretched in the graph,
Hence, The transformed function is translated to the right along the x-axis and stretched by a scale factor of 2.
For more references on transformation, click;
https://brainly.com/question/11709244
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A train travels 600 km in one hour .what is the trains Velocity in meters /seconds?
Answer:
166.6666 metres/second
Step-by-step explanation:
1 km/hr = 5m/18s
600*5/18
What is the prime factorization of 50?
2x25
2x5
2x5²
Answer:
2x5²
Step-by-step explanation:
[tex]25 = 2 \times 5 \times 5 = 2 \times {5}^{2} \\ [/tex]
Answer:
2x5²
Step-by-step explanation:
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 poir
points. If x is the number of 3-point questions and y is the number of 5-point questions, the system sho
represents this situation.
x + y = 24
3x + 5y = 100
What does the solution of this system indicate about the questions on the test?
O The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
O The test contains 14 three-point questions and 10 five-point questions.
O The test contains 20 three-point questions and 8 five-point questions.
Answer:
The test contains 10 three-point questions and 14 five-point questions.
Step-by-step explanation:
3x + 5y = 100, so:
x - number of 3-point questions
y - number of 5-point questions
x + y = 24 ⇒ y = 24 - x
3x + 5y = 100
3x + 5(24-x) = 100
3x + 120 - 5x = 100
-2x = -20
x = 10
y = 24 - 10 = 14
I think i have the right answer but I don’t know how to show my work/explanation, please help! *GRADE 9 WORK*
Answer:
5 boys
Step-by-step explanation:
boys to girls in math class = 3/12
3/12 can be reduced to 1/4
In the science class, the ratio is the same but there is a total of 20 girls.
Multiply the fraction 1/4 by 2/2, 3/3, 4/4, 5/5, etc. until you get x/20. Then you have 20 girls. x is the number of boys.
1/4 = 2/8 = 3/12 = 4/16 = 5/20
In science the ratio of 1/4 is the same as 5/20, so there are 5 boys.
Answer: 5 boys
Line AB, segment DF, and segment CE are drawn. Segments DF and CE intersect at point Z. Which statement about the diagram is true?
Step-by-step explanation:
A chord is a segment with endpoints on the circle.
A tangent line is a line that touches a circle at only one point.
A diameter is a chord that passes through the center of the circle.
A secant line is a line that touches a circle at two points.
Therefore, AB is a secant line.
The statement related to the diagram is true is that AB is the secant line.
What is a chord, tangent line, diameter, and secant line?A chord should be treated as the segment that contains the endpoints on the circle. A tangent line refers to the line that touches a circle at only one point. A diameter refer to a chord that passes via the center of the circle. A secant line should be a line that touches a circle at two points.
Hence, The statement related to the diagram is true is that AB is the secant line.
learn more about the line here: https://brainly.com/question/12489193
Based on a recent poll, there is a 50-50 chance that randomly selected adut has pierced ears, Express the indicated degree of likelihood as a proabability value between 0 and 1.
Answer:
1/2 or 0.5
Step-by-step explanation:
Saying that there is a 50-50 chance of an event happening is equivalent to saying there is a 1 in 2 chance. Therefore, expressing that degree of likelihood as a value between 0 and 1:
[tex]\frac{1}{2}=0.50[/tex]
There is a 1/2 or 0.5 chance that a randomly selected adult has pierced ears.
Answer:
1/2 or 0.5
Step-by-step explanation:
50-50 chance between 0-1 means half of 0-1 which is 1/2 or 0.5
1/2 or 0.5!
Consider the following quadratic equation. -4x^2+bx-11=0 Determine a possible value of b so that the quadratic has two complex solutions.
Answer:
Step-by-step explanation:
hello,
for [tex]ax^2+bx+c=0[/tex]
[tex]\Delta = b^2-4ac[/tex]
so here
[tex]\Delta = b^2-4*(-4)*(-11)=b^2-176[/tex]
to have two complex solutions we need [tex]\Delta < 0\\[/tex]
so [tex]b^2<176[/tex]
[tex]<=> b < \sqrt{176}=13.266...[/tex]
for instance we can take b = 0
hope this helps
Answer:
The correct answer is 12.
Step-by-step explanation:
i got it correct on my test, thanks to comment on the question above.
solve this, please prove it with steps in detail
Answer:
2
Step-by-step explanation:
-(1-√2) -(2-√3) + 1/√3 + 2+1/2+√5-(√5-√6)-(√6-√7)+ 1/√7+2√2+1/2√2+3
-1+√2-√2+√3-(√3-2)-(2-√5)-√5+√6-√6+√7-(√7-2√2)-(2√2-3)
-1+√2-√2+√3-√3+2-2+√5-√5+√6-√6+√7-√7+2√2-2√2+3
2
Really need helpppp?!
Answer:
6.43
pls follow me and mark brainliest ...thank u
Step-by-step explanation:
length of side x will be
Tan tita = opp/adjacent
tan65 = x/3
tan 65 is 2.14
so...you are left with 2.14=x/3
by cross multiplying
x= 2.14 × 3
= 6.43
Where do the graphs go ?
Answer:
1 goes into not pro
2 goes to not pro
3 goes into pro
and 4 goes into not pro
Step-by-step explanation:
proportional is a straight line
non proportional is not a line
a group of girls bought 72 rainbow hairbands ,144 brown and black hairbands and 216 bright colored hairbands .what is the largest possible number of girls in the group
Answer:
72
Step-by-step explanation:
We are assuming that all girls in the group bought the same number of items.
Therefore, we need to find the highest common factor of 72, 144 and 216.
HCF
72 = 2 * 2 * 2 * 3 * 3
144 = 2 * 2 * 2 * 2 * 3 * 3
216 = 2 * 2 * 2 * 3 * 3 * 3
The product of the emboldened numbers is the highest common factor.
That is:
2 * 2 * 2 * 3 * 3 = 72
Therefore, the largest possible number of girls in the group is 72.
find the zero of the following function: f(×)=(×-1)/(×-3)
Answer:
[tex]\boxed{\sf \ \ x = 1 \ \ }[/tex]
Step-by-step explanation:
Hello,
First of all we need to take x different from 3 as dividing by 0 is not allowed
then for x real different from 3
[tex]f(x)=0\\\\<=> \dfrac{x-1}{x-3}=0\\\\<=> x-1 = 0\\\\<=> x = 1[/tex]
hope this helps
A translation moves A(2,3) onto A′(4,8). If B(4,6), what is the image of B under the same translation?
A. (6,11)
B. (12,18)
C. (6,8)
D. (8,12)
What is the following product? (3 startroot 16x^7 endroot) (3 startroot 12x^9 endroot)
Answer:
72x^8
Step-by-step explanation:
Product of ;
3 √(16x^7) * 3 √(12x^9)
Let’s factor out all perfect squares in the roots
3 √(16 * x^4 * x^3) * 3 √(4 * 3 * x^8 * x)
Taking out the perfect squares, we have;
3 * 4 * x^2 * √(x^3) * 3 * 2 * √3 * x^4 * √(x)
72 * x^(2 + 4) * √(x^3 * x)
72 * x^6 * √(x^4)
72 * x^6 * x^2
72 * x^8
Help!!!!! please!!!!!
Hey there! :)
Answer:
B. The volume of Cylinder B is larger.
Step-by-step explanation:
Find the volumes of each cylinder using the formula V = πr²h:
Cylinder A:
V = π3² · 5
V = 9π · 5
V = 45π units³
Cylinder B:
V = π5²· 3
V = 25π · 3
V = 75π units³
75π u³ > 45π u³, so the volume of Cylinder B is larger.
can someone please help i need the answer right away
D: 9/5
Cereal: 2/3 = 15 vitamin D2 cups equal 6/32/3 × 3 gives 6/3, which means u must muiltiply 15 by 3 also.15×3=45Milk: 1 cup equals 25 vitamin DWe have to make the milk equal to 45so where gonna divide 45/25.45/25=1.801.8 simplified as fraction is 9/5The set of all points in a plane that are equidistant from two points is a:
Answer:
line
Step-by-step explanation:
Answer:
Hey there! The answer to you right question will be below.
Step-by-step explanation:
The answer is “something that is called the center of circle.
Also I attached a picture, if your question had choices than the answer would be B.
(Sorry for my handwriting)
By:xBrainly
Here is a sequence of numbers:
64
49
36
25
16
a)
What is the name given to these numbers?
Answer:
Perfect squares
Step-by-step explanation:
Here, we have a list of some numbers and we want to know the name given to these numbers.
Mathematically, these numbers are referred to as perfect squares.
Although all numbers have square roots, not all numbers have integer square root values.
Numbers having integer square root values otherwise known as whole number square root values are referred to as perfect squares.