Answer:
one hour and 12 minutes
Answer:
1 hour and 12 minutes
Step-by-step explanation:
Let's say x = time it takes for the trains to be 204 miles apart.
Speed = Distance/Time,
Time = Distance/Speed,
x = 204/ (80 + 90) = 204/170 = 1 and 1/5 hours or 1 hour and 12 minutes
Suppose 65% of jurors come to a just decision. In a jury of ten people, what is the probability more than half come to a just decision? 0.7515 0.2485 0.0949 0.8374 0.9051
Answer: 0.7515
Step-by-step explanation:
Binomial probability formula:
[tex]P(X=x)=\ ^nC_xp^x(1-p)^{n-x}[/tex] , where
n = total number of trials.
p= probability of success in each trial.
x= Number of successes.
Let x be a binomial variable that represents the number of jurors come to just decision.
p= 0.65
n= 10
Required probability= [tex]P(x>5)=P(x=6)+P(x=7)+P(x=8)+P(x=9)+P(x=10)\\\\ =\ ^{10}C_6(0.65)^6(0.35)^4+ ^{10}C_7(0.65)^7(0.35)^3+ ^{10}C_8(0.65)^8(0.35)^2+ ^{10}C_9(0.65)^9(0.35)^1+^{10}C_{10}(0.65)^{10}(0.35)^0\\\\=0.75149550912\approx0.7515[/tex]
Hence, the probability more than half come to a just decision = 0.7515
The first step in solving 3+7(x-5)=2x+16 is to
Multiply out the things in the brackets.
3+7(x+5)=2x+16
3+7x+35=2x+16
Bring the x's over to one side and the numbers to the other side.
7x-2x=16-35-3
5x= -22
Solve. Then, rewrite the complete number sentence in decimal form
Step-by-step explanation:
a)
6.9+1.1= 8
b)
9.9+2.45=12.35
[tex]12 \frac{35}{100} [/tex]
c)
2.4+8.9=11.3
[tex]11 \frac{3}{10} [/tex]
d)
6.37+7.7=14.07
[tex]14 \frac{7}{100} [/tex]
please help picture attached
Answer:
triangle B and D
please help!
In right triangle ABC, angle C is a right angle, AB = 13, and BC = 5.
What is the length of AC?
Answer:
Step-by-step explanation:
AC=[tex]\sqrt{13^{2} -5^{2} }[/tex]
=12
every angle of a equilateral triangle is_____.
A 15-ft by 15-ft rectangular swimming pool is surrounded by a walkway of uniform width. If the total area of the walkway is 304 ft^2, how wide is the walkway?
Answer:
4 ft = width of walkway
Step-by-step explanation:
It helps if you can draw a figure.
Let x = width of walkway
Length of pool + walkway = (2x + 15)
Width of pool + walkway = (2x + 15)
area of pool and walkway together = (2x + 15)(2x + 15) = [tex]4x^{2} = 60x + 225[/tex]
Area of the pool = 15(15) = 225
Now,
The area of the walkway = area of pool and walkway together - area of pool
304 = 4[tex]x^{2}[/tex] + 60x + 225 - 225
304 = [tex]4x^{2}[/tex] + 60x
4[tex]x^{2}[/tex] + 60x - 304 = 0
4([tex]x^{2}[/tex] +15x - 76) = 0
4(x - 4)(x + 19) = 0
x = 4 x = -19
-19 must be discarded because a length cannot be negative
Therefore x = 4 ft = width of walkway
can anyone help with this???
Answer:
X= 13
A=104
C=26
Step-by-step explanation:
the equation is 8x+2x+50=180
10x=130
x=13
Ms. Day went shopping last week and spent a total of $120. Blankets cost her $16 while pillows cost her $10. Altogether, she bought 9 items. How many of each item did Ms. Day end up buying?
Answer:
Ms. Day bought 5 blankets and 4 pillows.
Step-by-step explanation:
Let [tex]x[/tex] denotes number of blankets and [tex]y[/tex] denotes number of pillows.
Blankets cost her $16 while pillows cost her $10 and Ms. Day spent a total of $120.
[tex]16x+10y=120[/tex]
Divide this equation by 2.
[tex]8x+5y=60\,\,...(i)[/tex]
Ms. Day bought 9 items.
[tex]x+y=9[/tex]
Multiply this equation by 5.
[tex]5x+5y=45\,\,...(ii)[/tex]
Subtract [tex](ii)[/tex] from [tex](i)[/tex]
[tex]3x=15\\x=5[/tex]
Put [tex]x=5[/tex] in [tex]x+y=9[/tex]
[tex]5+y=9\\y=9-5\\y=4[/tex]
Therefore,
Ms. Day bought 5 blankets and 4 pillows.
the questipn is: Given segment AB with endpoint (-2,-2) and (8,4), what is the coordinate of the midpoint?
Answer:
(3,1)
Step-by-step explanation:
If you plot both of the points on a graph you get another straight line.
When you connect the dots you get 3,1 as the midpoint of the two segments :))
There are 50 students in a class and their annual result is presented in the following table:
Result
fail , 7 students
pass, 43 students
If a student is selected at random find the probability that the student has passed the examination.
a man sold two jeans at Rs 800. On one he gains a profit of 10 percent on other he loses 15 percent how he gain or loses in whole transaction
Answer:
1st jean:
100%-> 800
110%->880
880-800=80 ( earned)
-----------------------------------
2nd jean:
100%->800
85%->680
800-680=120(lost)
-----------------------------------------
120-80=40 (lost)
For the equation: 4x+y=10 what does x equal if y=-6?
Answer:
x = 4
pls mark as brainliest...
Answer:
x=4
Step-by-step explanation:
4x+y=10 then, plug in y
4x+(-6)=10 then, isolate x by adding 6to both sides,
+ 6 +6 then, divide by 4 on each side
4x/4=x
16/4=4
x=4
how to find cp if loss and sp are given
Step-by-step explanation:
[tex] \tt{ \: H \: E \: Y \: \: T \: H \: E \: R\: E \: }[/tex] !
When Loss and Selling price ( SP ) are given , Cost price ( CP ) can be found out using the following formulae :
✰ [tex] \large{ \boxed{ \boxed{ \tt{CP = Loss + SP}}}}[/tex]
[tex] \text{How \: did\: we \:get \:the \: formula : \: CP \: = Loss \: + \: SP} \: [/tex] ?
We simply derived the formula from Loss = CP - SP.
First , Swap the sides of the equation :
⟶ [tex] \text{CP - SP = Loss}[/tex]
Move SP to right hand side and change it's sign :
⟶[tex] \text{CP = Loss + SP}[/tex]
This is how , CP can be obtained when we are given loss and SP.
Hope I helped ! ♡
Have a wonderful day / night ! ツ
# [tex] \underbrace{ \tt{C \: a \: r \: r \: y \: \: O \:n \: \: L \: e \: a \: r \: n \: i \: n \: g}}[/tex] !!
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Find the highest common factor of 35 and 8C.
Answer:
Factors of 35 = 1, 5, 7 and 35
Factors of 8= 1, 2, 4, 8.
common = 1
15x=12x+15 whats the angle measures.
Answer:
x = 5 (please read the step by step explanation)
Step-by-step explanation:
So, I'm just going to solve for x because the instructions aren't too clear. I believe there is supposed to be an image attached to it, but seeing as I don't have that, I'll just solve for x and you can plug in with the values.
15x = 12x + 15
Same to both sides:
3x = 15
Isolate x:
x = 5
Just plug in those values and you'll be good to go! Have a good day!
What is UW? For brainliest
Answer:
UW = 5
Step-by-step explanation:
use the altitude rule and set up a proportion:
4/UW = UW/6.25
cross-multiply:
UW² = 25
UW = [tex]\sqrt{25}[/tex]
UW = 5
can anyone solve this
Answer:
Step-by-step explanation:=(1+sinA)2+cos2A/cosA(1+sinA)
=1+sin2 A+2sin A+cos2 A/cos A(1+sin A)
=1+2sin A+1/cos A(1+sin A)
=2(1+sin A)/cos A(1+ sin A)
=2sec A
Answer:
see explanation
Step-by-step explanation:
Consider the left side
[tex]\frac{1+sinA}{cosA}[/tex] + [tex]\frac{cosA}{1+sinA}[/tex] ← combine into a single fraction
= [tex]\frac{(1+sinA)^2+cos^2A}{cosA(1+sinA)}[/tex] ← expand and simplify numerator
= [tex]\frac{1+2sinA+sin^2A+cos^2A}{cosA(1+sinA)}[/tex] [ sin²A + cos²A = 1 ]
= [tex]\frac{1+2sinA+1}{cosA(1+sinA)}[/tex]
= [tex]\frac{2+2sinA}{cosA(1+sinA)}[/tex] ← factor out 2 on the numerator
= [tex]\frac{2(1+sinA)}{cosA(1+sinA)}[/tex] ← cancel (1 + sinA) on numerator/ denominator
= [tex]\frac{2}{cosA}[/tex]
= 2secA = right side, thus verified
Colleen's movie collection contains 8 movies, including 4 romance movies. What is the probability that a randomly selected movie will be a romance movie?
Answer: 1/2
Step-by-step explanation:
There are 8 movies in total.
4 of those movies are romance movies.
The probability of picking a romance movie is the proportion of romance movies to the total number of movies.
= Number of romance movies / Number of total movies
= 4 / 8
= 1 / 2
Answer:
1/2
Step-by-step explanation:
help please!!!!!!!!! Which image is a reflection of the black polygon in quadrant I?
On a coordinate plane, the black polygon is reflected across the y-axis to form the red polygon.
the black polygon in quadrant I
the red polygon in quadrant II
the blue polygon in quadrant III
the green polygon in quadrant IV
Answer:
The red polygon
Step-by-step explanation:
Think of the quadrants:
The "top right" one is quadrant I
The "top left" one is quadrant II
The "bottom left" one is quadrant III
The "bottom right" one is quadrant IV
When it says "reflected across y-axis", think of the y-axis as a "mirror"
Since the black polygon is in quadrant I, think of it looking into the mirror, or y axis. It is reflecting into quadrant II.
The red polygon is in quadrant II.
Sorry! I know this is a really weird explanation, but hope it helps!
Answer: The answer is the red polygon in quadrant ll (B)!
- just like the person above
Step-by-step explanation:
14 = -2s -8
Solve for s
Answer:
s = -11
Step-by-step explanation:
14 = -2s - 8
22 = -2s
2s = -22
s = -11
14= -2s -8
+8 +8 Add 8 to both sides to isolate -2s
22= -2s
--- ----
-2 -2 Divide -2 by both sides
-11=s This is the answer.
Find the value of k, represented as a decimal rounded to the nearest tenth.
5/7 = 12/k
Answer:
We conclude that the value of k represented as a decimal rounded to the nearest tenth is: [tex]k = 16.8[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{5}{7}=\frac{12}{k}[/tex]
We need to determine the value of k, represented as a decimal rounded to the nearest tenth.
Let us solve the expression
[tex]\frac{5}{7}=\frac{12}{k}[/tex]
Apply cross-function multiply: if [tex]\frac{a}{b}=\frac{c}{d}[/tex] then [tex]a\cdot \:d=b\cdot \:c[/tex]
[tex]5k=7\cdot \:12[/tex]
[tex]5k=84[/tex] ∵ 7 · 12= 84
Divide both sides by 5
[tex]\frac{5k}{5}=\frac{84}{5}[/tex]
Simplify
[tex]k=\frac{84}{5}[/tex]
[tex]k = 16.8[/tex] (Rounded to the nearest 0.1 or the Tenths Place)
Therefore, we conclude that the value of k represented as a decimal rounded to the nearest tenth is: [tex]k = 16.8[/tex]
What is the GCF of 45x^5
and
36x^9
Answer:
9x^5
Step-by-step explanation:
the factors of 45:
1, 3, 5, 9, 15, 45
the factors of 36:
1, 2, 3, 4, 6, 9, 12, 18, 36
Greatest common is 9
Answer:
The answer is 3
Step-by-step explanation:
because I said so
can someone help me solve this equation?
-11v-14=v-14
Answer:
0.
Step-by-step explanation:
Add 14 on both sides:
-11v+0=v
So we have:
-11v=v
And there is only one number in the universe that can satisfy that and that is 0.
V = 0
-11v = v
0 = v + 11v
0 = 12v
0 = v
v = 0
4. Simplify the expression
2(10) + 2(x-4).
(A) 2x + 16
(B) x+12
© 2x + 12
(D) x + 16
Answer:
C. 2x + 12
Step-by-step explanation:
2(10) + 2(x-4)
= 20 + 2x - 8
= 2x + 20 - 8
= 2x + 12
solve CORRECTLY for brainly and 20 points
Answer:
k/4 + 3 = 14
k = 44
Step-by-step explanation:
Step 1: k + 12 = 56
Step 2: k = 56 - 12
Step 3: k = 44
Multiply both sides of the equation by 4Subtract from both sidesSubtract 12 from 56 to get 44Answer:
The answer are
t=4
f=4
e=2
k=44
a=-4
n=11
Select three expressions that are equivalent to 12y + 18 by factoring,
6(2 + 3y)
2(6 + 9)
209 + 6y)
6(3 + 2y)
3(4y + 6)
Answer:
3(4y + 6)
6(3 + 2y)
2(9+6y)
Step-by-step explanation:
When factored, all of them are equivalent to 12y + 18.
Answer:
6(2 + 3y), 6(3 + 2y), and 3(4y + 6)
Step-by-step explanation:
6(2 + 3y)= 18y+12
2(6 + 9)=30
209 + 6y)= can't factor
6(3 + 2y)= 12y+18
3(4y + 6)=12y+18
hope this helps :)
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Option C it is sure
,
A
trust me looooooooooll
Y=x^4-4x^3.FInd the value of u when x=-1
Simplify the expression.
4(5x + 2) + 7x + 6 =
12x + 8
27x + 14
27x + 8
27 + 14x
Answer: =27x+14
Step-by-step explanation: hope this help :)
Let's simplify step-by-step.
4(5x+2)+7x+6
Distribute:
=(4)(5x)+(4)(2)+7x+6
=20x+8+7x+6
Combine Like Terms:
=20x+8+7x+6
=(20x+7x)+(8+6)
=27x+14
Answer:
=27x+14