Step-by-step explanation:
No of days in 1 week = 7
No. of days starting with T letter = 2
Now
Fraction of the days starting with the letter T
= 2 / 7
Hope it will help :)
A professor gives a test to a large class. The time limit for the test is 50 minutes, and the first student to finish is done in 35 minutes. The professor assumes that the random variable T for the time it takes a student to finish the test is uniformly distributed over [35, 50]. At what time T will 60% of the students be finished with the test?
Answer: at 44 minutes, 60% of the students will be finished with the test
Step-by-step explanation:
Given the data in the question;
we have a uniform distribution between 35 and 50
so
50 - 35 = 15
now, we simply multiply 15 by 60%; 15 × 0.6 = 9
so after 9 minutes, 60% percent of the students are done
Hence, 9min + 35 min = 44 minutes
Therefore at 44 minutes, 60% of the students will be finished with the test
The time T when 60% of the students will be finished with the test is 44 minutes.
What is the percentage?The percentage is the value per hundred.
The time limit for the test = 50minute
The first student finishes in 35 minutes
The last student finishes in 50 minutes
So the difference between time = 15 minutes
It is given that the time it takes a student to finish the test is uniformly distributed over [35, 50].
So, the time T when 60% of the students will be finished with the test
T=35 + 60% of 15 minutes
T= 35 + 60*15/100
T= 44 minutes
Therefore, the time T when 60% of the students will be finished with the test is 44 minutes.
To get more about the percentage visit:
What value of x makes the equation true 7+2x=4x-5
Answer:
6
Step-by-step explanation:
Fact
Answer:
x=6
Step-by-step explanation:
1. 7+2x=4x-5
2. 7+2x-2x=4x-5-2x
7=2x-5
12=2x
x=12/2
x=6
Which decimal is less than 0.47
(0.38) (0.9) (0.64) (0.5)
Answer:
0.5
Step-by-step explanation:
just divide in a calculator
Answer:
0.38
Step-by-step explanation:
Look at the tenths decimal place to compare
3 is less than 4
9 is greater than 4
6 is greater than 4
5 is greater than 4
The only one less than 4 is 3 which corresponds to the decimal 0.38
The Picture above please do 4a and 4b I’m so lost. Thank you.
Answer:
First, we know that the function IxI works as follows:
IxI = x if x ≥ 0
IxI = -x if x < 0
So IxI is always positive.
then:
a) f(x) = Ix - 2I
this is:
f(x) = (x - 2) if (x - 2) ≥ 0
-(x - 2) if (x - 2) < 0
Then the graph of this function will be two lines (where the separation of the lines depends on the vale of x)
For the case of b we have
g(x) = -IxI + 1
then we have:
g(x) = -x + 1 if x ≥ 0
g(x) = -(-x) + 1 if x < 0
To graph the functions, you need to graph these lines for the given values of x. You also can see the graphs below. Where the red graph is the one for the point 4a, and the blue graph is the one for point 4b.
Now, let's find the domain and range:
4a) f(x) = Ix - 2I
The domain is the set of the possible values of x that we can input in that function. For this case, we do not have any value of x that generates a problem (like a zero in a denominator, for example) then the domain is the set of all real numbers: x ∈ R
The range is the set of the possible values of y.
f(x) = Ix - 2I is always equal or greater than zero (as you can also see in the graph) then the range will be:
R: y ∈ R, such that y ≥ 0.
4b) g(x) = -IxI + 1
Similar as the prior case, here the domain is the set of all real numbers:
D: x ∈ R
For the range, now we have:
y = -IxI + 1
if IxI is always equal or larger than zero, then -IxI is always equal or smaller than zero. If we add a + 1 to that, then the function will be always equal or smaller than 1.
Then the range is:
R: y ∈ R, such that y ≤ 1
Circle A has a circumference of B centimeters.
Circle C’s diameter is 3 times as long as circle A’s diameter.
What is the circumference of circle B?
Circle B has a diameter that is 1 1/2 times as long as Circle A's diameter. What is the circumference of Circle B? Solution. 4 m. If the diameter ...
11/5-1/2= Fraction fraction
Answer:
11/5-1/2 = 22/10-5/10= 17/10 = 1 7/10
Step-by-step explanation:
The answer is 1 7/10
Answer:
17/10 or in mixed numbers 1 and 7/10
Step-by-step explanation:
So first they both have to share a common denominator which will be 10 so for 11/5 you multiply 2 to the denominator. Whatever you do to the bottom you do to the top so 2 times 11 is 22. For 1/2 you multiply the bottom by 5, whatever you do to the bottom you do to the top so 5 times 1 is 5, everything converted should be 22/10-5/10 and that equals 17/10
What percent of 30 is 16.5
Answer:
Its 55
Step-by-step explanation:
hope this helps
Answer:
55%
Step-by-step explanation:
Hope this helps you :)
Have a great day!
Can someone help please!
Answer:
650
Step-by-step explanation:
because it says that she earns 50 for each hour so if u multiple 50×13 u get =650
Roberto has run the first 18 miles of a race, which means he is 72% finished. How long is the race
Answer:
25 miles
Step-by-step explanation:
18 ÷ 72% =
18 ÷ (72 ÷ 100) =
(100 × 18) ÷ 72 =
1,800 ÷ 72 =
25
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
What is the solution set of this inequality?
Answer:
(-3,1) U (3,8) is the right answer.To decorate her bedroom, Lisa spent $62.89 on new bedding, $48.26 on paint, and $81.99 on accessories. About how much did she spend to decorate her bedroom? (1 point)
Question 3 options:
1)
$190
2)
$210
3)
$230
4)
$300
Answer:
3 because it makes a of sense
Step-by-step explanation:
Each figure shows a triangle with one of its angle bisectors.
Answer:
x = 7
Step-by-step explanation:
XP bisects <X into two equal parts, <1 and <2. Therefore,
<1 = <2
<1 = 5x - 2
<2 = 4x + 5
Thus:
5x - 2 = 4x + 5
5x - 2 - 4x = 5 (subtraction property of equality)
x - 2 = 5
x = 5 + 2 (addition property of equality)
x = 7
What is the probability of rolling a multiple of 3 on a 6-sided die?
Answer:
33% or 1/3 ...............
Please solve the question below
Answer:
AB = 14 units
∠F = 39°
Step-by-step explanation:
Given:
ΔABC ≅ ΔDEF
So,
AB = ED (By CPCT)
So,
AB = 14 units
∠C = ∠F (By CPCT)
∠F = 39°
Jose has $20 and is saving $6 per week. Ana has $150 and is spending $4 per
week. When will they both have the same amount of money?
How long should $1,000 be invested compounded
bimonthly to produce a final balance of $2,000 at
4.15%?
A. 16.70 years
B. 16.72 years
C. 16.76 years
D. 16.73 years
Answer: B. 16.72 years
Step-by-step explanation:
If interest is compounded bi-monthly, the formula to calculate the accumulated amount (A) is given by:-
[tex]A=P(1+\dfrac{r}{24})^{24x}[/tex] , where P = principal , r= rate of interest, x= time period(years).
[1 year =12 months, total periods in 12 months if period per month is 2 = 2 x 12 =24]
Given: P= 1000, A= 2000, r= 4.15% = 0.0415
Substitute all values in formula , we get
[tex]1000\times (1+\dfrac{0.0415}{24})^{24x}=2000\\\\\Rightarrow\ (1.00172916667)^{24x}=2\\\\\text{Taking log on both sides, we get}\\\\\Rightarrow \ln(1.00172916667)^{24x}=\ln2\\\\\Rightarrow 24x\ln(1.00172916667)=\ln2\\\\\Rightarrow\ x=\dfrac{\ln 2}{24\ln(1.00172916667)}\approx16.72\ years[/tex]
Hence, option B. is correct.
Identify the equation of the parabola in vertex form if a = 1 and the vertex is (4, 6).
a) y = (x - 6)2 + 4
b) y = (x + 6)2 +
+4
c)y=(x + 4)² +6
d) y = (x - 4)2 + 6
Answer:
B
Step-by-step explanation:
Given \qquad m \angle QPS = 107^\circm∠QPS=107 ∘ m, angle, Q, P, S, equals, 107, degrees \qquad m \angle RPS = 4x + 27^\circm∠RPS=4x+27 ∘ m, angle, R, P, S, equals, 4, x, plus, 27, degrees \qquad m \angle QPR = 9x - 115^\circm∠QPR=9x−115 ∘ m, angle, Q, P, R, equals, 9, x, minus, 115, degrees Find m\angle QPRm∠QPRm, angle, Q, P, R:
Answer:
20°
Step-by-step explanation:
4x+27°+9x-115°=107°
4x+9x + 27°-115°=107°
13x-88°=107°
add 88 on both sides
13x=195°
divide 13 on both sides
x=15
9(15°)-115°
135°-115° = 20
The answer is 20
Answer:
20
Step-by-step explanation:
Write two different congruent statements that indicate the triangles in each pair are congruent ( ODD NUMBER QUESTIONS ONLY)
Answer:
Step-by-step explanation:
13) QR ≅ BP ; RP ≅ PA ; PQ ≅ AB
ΔQRP ≅ΔBPA by Side Side Side Congruent
QR ≅ BP ; ∠R ≅ ∠BPA ; RP ≅ PA
ΔQRP ≅ ΔBPA by Side Angle Side congruent
15) ML ≅ WV ; MX ≅ WX ; LX ≅ VX;
ΔMLX ≅ ΔWVX Side side side congruent
∠L ≅ ∠V ; ML ≅ WV ; ∠M ≅ ∠W
ΔMLX ≅ ΔWVX Angle side Angle congruent
If x < 0 and y > 0, determine the sign of the real number. (a) x y positive negative (b) xy2 positive negative (c) x − y xy positive negative (d) y(y − x) positive negative
Answer:
From the question it is given that x<0 and y>0 or in other words x is negative and y is positive.
(a)x y : x is negative and y is positive
⇒negative x positive = negative
Therefore, xy is negative
(b)x[tex]y^{2}[/tex] : x is negative and [tex]y^{2}[/tex] is positive
⇒negative x positive = negative
Therefore, x[tex]y^{2}[/tex] is negative
(c) (x − y)xy : x is negative and [tex]y^{2}[/tex] is positive
⇒(x − y) is negative and xy is negative {from (a)}
⇒negative x negative = positive
Therefore, (x-y)xy is negative
(d) y(y − x): x is negative and y is positive
here y - x is positive
⇒positive x positive = positive
Therefore, (y-x)y is negative
What is the quotient of 63 and 0
Answer:
0
Step-by-step explanation:
Something divided OR multiplied by 0 always ends with 0
Answer:
63/7 = 9.
I think
Hope this helps
Given that XH bisects
Answer choices
A.) 50
B.) 48
C.) 62
D.) none of the above
what is the point slope form of a linear equation?
Answer:
y= m(x-x1) +y1
Step-by-step explanation:
that is point slope form
Answer:
answer 4 is correct
y-y1=m(x-x1)
putting value of m that is slope formula .
What is the solution for the system of equations shown in this graph?
Answer:
[tex]\huge\boxed{\sf x = 2 , y = -2}[/tex]
Step-by-step explanation:
The common point where the lines of the two equations meet is exactly the solution of the system of equations.
So,
The common point is (x,y) = (2,-2)
This means that x = 2 and y = -2.
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Sum of the radius of the base and height of a cylinder is 21 cm and the curved surface area of the cylinder is 616 sq.cm,find the total surface area of the cylinder.
Answer:
925.04cm²
Step-by-step explanation:
Curved surface area of a cylinder = 2πrh
r is the radius
h is the height
If the sum of the radius of the base and height of the cylinder is 21 cm, then;
r + h = 21
r = 21-h..... 1
Recall:
CSA = 2πrh
616 = 2πrh ....2
Substitute equation 1 into 2;
616 = 2π(21-h)h
616 = 2π(21h-h²)
616 = 42(3.14)h - 2(3.14)h²
616 = 131.88h - 6.28h²
98.09 = 21h - h²
h²-21h+98.09 = 0
h = 21±√21²-4(98.09)/2
h = 21±√441-392.36/2
h = 21±√48.64/2
h = 21±6/97/2
h = 21+6.97/2 and 21-6.97/2
h = 27.97/2 and 14.03/2
h = 13.985 and 7.015
Since r = 21-h
r = 21 - 13.985
Using r = 7.015
The total surface area = 2πrh + 2πr²
The total surface area = 616 + 2(3.14)7.015²
The total surface area = 616 + 309.04
The total surface area = 925.04
Hence the total surface area of the cylinder is 925.04cm²
Use algebraic rules to show that n(n+1)+2n +2 is equivalent to (n+1)(n+2)
Answer:
This question is asking us to solve both of these equations, so let's do exactly that!
First equation:
[tex]n(n+1)+2n+2\\n^2+1n+2n+2\\n^2+3n+2[/tex]
Second Equation:
[tex](n+1)(n+2)\\n^2+2n+1n+2\\n^2+3n+2[/tex]
Both of the equations result with the same answer, therefore n(n+1)+2n+2 is equivalent to (n+1)(n+2).
Hope that helped! :)
If all of be the simple the side lengths of a triangle had a length of 1 what would be the simplified laws of sines be?
Answer:
sin A = sin B = sin C
Step-by-step explanation:
The sine rule is a law which relates all the three sides of a triangle with the sine of their opposite angles in the triangle. Given a triangle with a side of a and an opposite angle of A, side b with opposite angle B and side c with opposite angle C. The sine rule is given as:
[tex]\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}[/tex]
Given that all the side of the triangle have a length of 1, that is a = b = c = 1, hence the equation becomes:
[tex]\frac{sin(A)}{1}=\frac{sin(B)}{1}=\frac{sin(C)}{1}\\\\sin(A)=sin(B)=sin(C)[/tex]
Answer:
sin A = sin B = sin C
Step-by-step explanation:
edg
Given the graph below, write the equation for the line in slope - intercept form.
1
2
A y = 22 + 2
B y = x + 1
C y= -2x - 2
D y= -2x +2
Answer:
A
Step-by-step explanation:
slope is -,y-intercept is 2
y=+mx+2
A
Which order pairs are solution to the inequality Y-3x<-8
Answer:
your answer are c and d hope it helps .
I will give brainiest to whoever answers correctly !!
9514 1404 393
Answer:
a) interest: $215.33
b) proceeds: $3584.67
c) effective rate: 9.01%
Step-by-step explanation:
a) The problem statement tells you the loan was discounted 8.5%. The amount of interest paid is ...
I = Prt
I = $3800·0.085·8/12 ≈ $215.33
__
b) The proceeds of the loan are ...
$3800 -215.33 = $3584.67
__
c) The actual rate is found using the same formula as above, solving for r:
r = I/(Pt) = $215.33/($3584.67·2/3) ≈ 0.0901 = 9.01%