Answer:
dx + t = 10
dx = 10 - t
x = (10 - t) / d
Answer:
[tex]x=\frac{10-t}{d}[/tex]
Step-by-step explanation:
[tex]dx + t =10[/tex]
Add [tex]-t[/tex] on both sides.
[tex]dx + t -t=10-t[/tex]
[tex]dx=10-t[/tex]
Divide both sides by [tex]d[/tex].
[tex]\frac{dx}{d} =\frac{10-t}{d}[/tex]
[tex]x=\frac{10-t}{d}[/tex]
The Venn diagram below shows the numbers of students in a class who had curry (C) and salad (S) at lunch. A student is chosen at random. Find P(C U S)
Answer:
Step-by-step explanation:
hello,
how many students ? 14 + 2 + 5 +3 = 24
how many students who had C and S ? 14 + 2 + 5 = 21
so P(C∪S)=21/24=(7*3)/(8*3)=7/8
hope this helps
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.
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
Find the midpoint of the line segment with end coordinates of: ( − 1 , − 6 ) and ( 4 , 5 ) Give coordinates as decimals where appropriate.
Answer:
(1.5 , -0.5)
Step-by-step explanation:
formula:
x_midpoint=(x1+x2)/2
y_midpoint=(y1+y2)/2
y coordinate: (-1 +4)/2
x coordinate: (-6+5)/2
Factor completely x3 + 6x2 + 8x + 48. A (x − 6)(x2 − 8) B (x − 6)(x2 + 8) C (x + 6)(x2 − 8) D (x + 6)(x2 + 8)
Answer:
(x+6)(x^2+8)
D
Step-by-step explanation:
x^3 + 6x^2 + 8x + 48=
x2(x+6)+8(x+6)= take x+6 common factor
(x+6)(x^2+8)
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
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)
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.
Is triangleLMN cong triangleOQP? If so, name the postulate that applies.
Answer:
A. The triangles are congruent by SAS.
Step-by-step explanation:
Two sides of one triangle are congruent to two sides of the other triangle. The included angles of the two triangles are congruent.
The triangles are congruent by SAS.
given the polynomial function below find F(2)
F(x) = 5x^3 -2x^2 + 3
Answer:
35
Step-by-step explanation:
f(x)=5x^3-2x^2+3
f(2)=5x2^3-2x2^2+3
=5x8-2x4+3
=40-8+3
=40-5
=35
Answer:
35
Step-by-step explanation:
F(x) = 5x^3 -2x^2 + 3
Let x=2
F(2) = 5(2)^3 -2(2)^2 + 3
= 5*8 -2(4) +3
= 40 -8+3
= 32+3
= 35
Please answer i will give thanks and 5 star
Answer:
A, B, and E are all less than 1/8
Does the following table show a proportional relationship between the variables , g and h?
9
3
6
9
h
9
36
81
Choose 1 answer:
А
Yes
No
Report a problem
Answer:
no
Step-by-step explanation:
Answer:
No is the answer you are welcome
Can someone please help me I really need help
Answer:
choice c
Step-by-step explanation:
y axis shows value of computer
v-intercept; x axis = 0
show initial value of the computer
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.
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= 992‼️10 points‼️
1. Match the graph with its equation.
A. y=-3
B. x=-3
C. x=3
D. y=3
Answer:
y=-3
Step-by-step explanation:
This is a horizontal line
Horizontal lines are of the form
y=
The y value is -3
y=-3
━━━━━━━☆☆━━━━━━━
▹ Answer
A. y = -3
▹ Step-by-Step Explanation
Y is represented by a horizontal line and it passes through the point -3 therefore, the answer is y = -3.
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Estimate. 6.13/3 Choose 1 answer: a 2 b20 c200 d2000
Answer:
The answer is option A.
2.Hope this helps you
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.
Given: Line A B intersects Line D E at point C. Prove: AngleDCB Is-congruent-toAngleECA Line D E intersects line B A at point C. A 2-column table with 6 rows. Column 1 is labeled statements with the entries line A B intersects line D E at point C, angle D C B and angle B C E are a linear pair, angle D C B is supplementary to angle B C E, angle B C E and angle E C A are a linear pair, angle B C E is supplementary to angle E C A, angle D C B is-congruent-to angle E C A. Column 2 is labeled reasons with the entries given, definition of linear pair, linear pair post, definition of linear pair, question mark, congruent to supplementary theorem. What is the missing reason in step 5? linear pair postulate given definition of complementary angles congruent complements theorem
Answer:
The missing reason in step 5 is;
The linear pair postulate
Step-by-step explanation:
The information given are;
Column 1, Column 2
Statements, Reasons
Line AB intersect DE at C, Given
∠DCB and ∠BCE are linear pair, Definition of linear pair
∠DCB is supplementary to ∠BCE, Linear pair postulate
∠BCE and ∠ECA are linear pair, Definition of linear pair
∠BCE is supplementary to ∠ECA, Linear pair postulate
∠DCB ≅ ∠ECA, Congruent to supplementary theorem
Therefore, the missing reason in step 5 is the linear pair postulate.
Answer:
itS A
Step-by-step explanation:
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.
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!
Which of the following is an equivalent form of the
compound inequality -22 > -5x - 72 -3? (1 point)
Select one:
O a. -5x - 75 -22 and -5x - 72-3
O b. -5x - 7> -22 and -5x - 72-3
O c. -5x > -22 and -7 -3
O d. -5x - 7 < -22 and -5x - 75 -3
Step-by-step explanation:
_22greater than minus 2 x minus minus 72 minus 3
72 minus 22 minus 3greathan than 2x
49greatern than 2 x
A 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!
two factors of -48 have a difference of 19. the factor with a greater absolute value is positive. what is the sum of the factors? -19, -13 13 or 16
Answer:
-19
Step-by-step explanation:
-19 is the absolute value of 19
hope this helps
Answer:
sum = +13
Step-by-step explanation:
The possible factors of 48 are
{1,2,3,4,6,8,12,16,24,48}
Of these, the pair 3,16 gives a sum of 19 and a product of 48.
We are given that 16 (greater absolute value) is positive, so 3 is negative.
The sum of the two is therefore 16-3 = 13
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
which is the domain of the function in this table ?
Answer: 1,2,3,4
Step-by-step explanation:
The domain consists of every x value
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
The mean length of 4 childrens' big finger is 14cm. The mean length of 9 adults' big finger is 16.1cm. What is the mean length (rounded to 2 DP) of these 13 people's big finger?
Answer:
The mean length of the 13 people's big finger is 15.45 cm
Step-by-step explanation:
Given;
mean length of 4 childrens' big finger, x' = 14cm
mean length of 9 adults' big finger is 16.1cm, x'' = 16.1cm
Let the total length of the 4 childrens' big finger = t
[tex]x' = \frac{t}{n} \\\\x' = \frac{t}{4}\\\\t = 4x'\\\\t = 4 *14\\\\t = 56 \ cm[/tex]
Let the total length of the 9 adults' big finger = T
[tex]x'' = \frac{T}{N} \\\\x'' = \frac{T}{9}\\\\T = 9x''\\\\T = 9*16.1\\\\T = 144.9 \ cm[/tex]
The total length of the 13 people's big finger = t + T
= 56 + 144.9
=200.9 cm
The mean length of these 13 people's big finger;
x''' = (200.9) / 13
x''' = 15.4539 cm
x''' = 15.45 cm (2 DP)
Therefore, the mean length of the 13 people's big finger is 15.45 cm
PLEASE HELP ME!!! ASAP!!!
Answer:
a, Side DE and side AB have to be equal to keep the order of AAS.
b, AC and DF have to be equal for the same reason.
Consider triangle QRS. The legs each have a length of 10 units. Triangle Q R S is shown. Angle Q S R is 90 degrees. The length of Q X is 10 and the length of S R is 10. What is the length of the hypotenuse of the triangle?
Answer:
10 square root 2
Step-by-step explanation:
Answer: D). 10 StartRoot 2 EndRoot units
Step-by-step explanation: