Answer:
1/3
Step-by-step explanation:
Factors of 6 are 1, 2, 3, 6.
Even numbers are 2, 4, 6
3/6 * 4/6 = 12/36 or 1/3
please help with statistic 21
Part A
Extend the table so that we have row and column totals as shown in the diagram below.
There are 986 accurate orders from all four restaurants combined, out of 1125 orders total. The probability of an accurate order is 986/1125. Selecting two such orders, with replacement, means we get a probability of
(986/1125)*(986/1125) = 0.7682 which is approximate.
Now to the question of independence vs dependence. It all comes down to this: Does the first selection affect the second selection? If so, then we have dependent events. Otherwise the events are independent. Because we put the first selection back (or replaced it with an equivalent order), this means the first selection does not alter the second selection. The two selections effectively exists in their own separate universe so to speak.
Answer: The probability is 0.7682 and the events are independent============================================================
Part B
This time, we aren't putting the order back in the pile. Whatever we select is taken out entirely without replacement. The first selection will affect the second one. The probability of getting an accurate order for the first selection is 986/1125 = 0.8764 while the second selection is slightly different at 985/1124 = 0.8763. This difference is enough to show that we have dependent events. The second event depends on the first.
Note the second fraction has each term drop by 1.
The probability of picking two accurate orders, when replacement is not made, is (986/1125)*(985/1124) = 0.7681 approximately
Answer: The probability is 0.7671 and the events are not independent.Emmitt runs 5 miles in 40 minutes. How long does it take to run per mile?
Answer:
08 : 00
min : sec
8 minutes each mile
Answer:
0.125 is your answer
Step-by-step explanation:
5/40 = 0.125
Given z1 and z2, what is the midpoint?
z1=5-7i and z2=-9+3i.
Answer:
[tex]7-2i[/tex]
Step-by-step explanation:
As you're used to do in the real plane, midpoint is the average of Real and Imaginary part. So [tex]\frac{5+9}2 +i \frac{-7+3}2 = \frac{14}2+i\frac{-4}2 = 7-2i[/tex]
Answer:
-2+5i
Step-by-step explanation:
what is the graph of x< -12y
Answer:
the graph of x = a is a straight line parallel to y-axis at a distance a from the y-axis, on the right if a > 0 and on the left if a < 0. (iv) Graph of y = a.
Step-by-step explanation:
HOPES THIS HELPS MY FRIEND!!!
The graph of y=f(x) is above. If f(-4)=k, what is the value of f(k)?
(A) -2
(B) -1.5
(C) -1
(D) 1
(E) 3
Assume your phone bill averages $165 a month and you have a car payment that is $505 per month. You also spend about $150 a week on food. How much are your monthly expenses?
Answer:
1270 a month on expenses
Answer:
1270 a month
Step-by-step explanation:
There is 4 weeks for month so you multiply 150 x 4 = 600 and just add 165 and 505 which is equal to 1270
Fifteen less than the product of
seven and a number is four
What is this in number form
Answer:
the product of some number (call it x) and 7 is:
7⋅x or just 7x
now take 15 less than that:
7x−15 or y=7x−15
Use the Distributive Property to write each expression as an equivalent expression. Then evaluate it.
7(7 – 9)
Question 15 options:
Answer: The answer is 40.
Step-by-step explanation: 7(7-9) when you use distributive property you will use the 7 outside the parenthesis. Multiply the property inside. then you will get 49-9. Then you will solve it and get the answer 40.
Challenge. The price of Stock A at 9 A.M. was $13.66. Since then, the price has been increasing at the rate of $0.05 each hour. At noon the price of Stock B was $14.16. It begins to decrease at the rate of $0.15 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
Answer:
7/4
Step-by-step explanation:
We can write equations for increasing stock and decreasing stock and find our answer.
Let number of hours be "h" for both to be same
For first, we can write:
13.66 + 0.05h
But, second one starts from noon, so already 12pm - 9am = 3 hours gone, so stock A increased by 3 x 0.05 = 0.15, so we equation would be:
13.81 + 0.05h
Now, Stock B's equation [from noon]:
14.16 - 0.15h
Equate and solve:
so we will do 13.81 + 0.05h = 14.16 - 0.15h
number with number
variables with variables
0.2h = 0.35
divide 0.2 both sides
answer is
1.75 or if its in fraction form 7/4
Answer:
1.75 hours
Step-by-step explanation:
(13.66 +3*0.05) + (0.05 * h) = 14.16 - (0.15 * h)
13.81 + 0.05h = 14.16 - 0.15h
0.05h + 0.15h = 14.16 - 13.81
0.20h = 0.35
h = 0.35/ 0.20
h = 7/4
Find the missing length. The triangles are similar.
Answer:
18
Set up a ratio since they are similar (congruent in the ratio of side length):
[tex]\frac{52}{24} =\frac{39}{x}[/tex]
Cross multiply:
52x = 936
x = 18
Which statements are true about the polynomial function?
f(x)=x^4+5x^3−x^2−5x
Select each correct answer.
A.) f(x) divided by (x+5) has a remainder of 0.
B.) (x−5) is a factor of f(x) .
C.) f(x)=0 when x=−5 .
D.) f(5)=0
Answer:
A and C are correct
What is the equation of the line that passes through the point (-5, 4) and has a
slope of – 3 over 5
Answer:
y=-3/5(x+5)+4
Step-by-step explanation:
y=m(x-h)+k
y=-3/5(x+5)+4
Here is a triangle:
(a) Work out the size of the angle marked a.
(b) Work out the size of the angle marked b.
Answer:
a.) 130°
b.) 70°
Step-by-step explanation:
For a given triangle
a.)The sum of all angles on a straight line is equal to 180°
Now,
50° + a = 180°
Subtract 50° from each side we get,
50° - 50° + a = 180° - 50°
a = 130°
Thus, The size of the angle marked a is 130°
b.)The sum of all angles in a triangle is equal to 180°
Now,
b + 50° + 60° = 180°
b + 110° = 180°
Subtract 110° from both side we get,
b + 110° - 110° = 180° - 110°
b = 70°
Thus, The size of the angle marked b is 70°
-TheUnknownScientist 72
4f = -24
Solve f
I need to show work
Orla and Eduardo each looked at a strand of their hair under a microscope and measured the diameter. Orla's strand was 0.005 cm in diameter, and Eduardo's strand was 0.012 cm in diameter.
How much greater was the diameter of Eduardo's hair?
The Pie Problem!
Question: The Morgans had pumpkin pie for their Thanksgiving dessert.
The mom ate 1/4 of the pie. The dad ate 2/3 of what was remaining after the mom ate
her portion. The daughter ate 1/2 of what was remaining after the dad ate his portion
How much of the ple is left after the daughter ate her portion?
Answer:
1/12
Step-by-step explanation:
find the least common multiple of the denominators.
which is 12
so 1/4=3/12
2/3=8/12
1/2=6/12
so 3/12- 8/12 - 6/12 = -11/12
so there is 1/12th pieces left after they all ate their portions of the pie
EQUATION ---> c/-q+6=14
answer choice
a) c=29
b) c=-72
c) c= 72
d) c= 68 Help please :(
Answer:
c/-9+6=14
c/-9=14-6
c/-9=8
c=8×(-9)
c= -72
Therefore the answer is (b)
Find the product
(y-3)(y-4)
Answer:
y^2-7y+12
Step-by-step explanation:
muliply each unit of the first parentheses by the second
Which equation represents a line which is parallel to y = 0?
A) y = 3
B) x = -8
C) y = x - 1
D) x = 4y
Answer:
y=3
Step-by-step explanation:
Horizontal Lines
A cylinder has a height of 30 ft and a volume of 63.679 ft3. What is the radius of the cylinder?
Round your answer to the nearest whole number
Answer:
26 ft
Step-by-step explanation:
What is the slope of the equation Y = 5/4x-7/4
A. -7
B. -7/4
C. 5/4
D. 5
Answer:
C. 5/4
Step-by-step explanation:
Slope formula is y=mx+b so your slope is m
In your equation y=5/4x-7/4, your slope is where m would be, so 5/4
Answer:
the slope of the equation is 5/4
Question 2
Solve for the variable cin this equation:
a(c + b) =d
A. C= d-ab/a
B. C= d+ab/a
C. C= ab- d/a
D. d-ab/b
Answer:
A. C = (d-ab)/a
Step-by-step explanation:
a(c + b) = d
a(c + b)/a = d/a
c + b = (d/a)
c = (d/a) - b
a(c + b) = d
ac + ab = d
ac = d - ab
ac/a = d/a - ab/a
c = (d/a) - b
what is 4x-8+5x=28 plz help me with this
Answer:
x=4
Step-by-step explanation:
4x-8+5x=28
9x-8=28
Add 8 to both sides.
9x=36
Divide 9 from both sides.
x=4
Hope this helps! Plz give brainliest!
Using the translation that moves A (2, -3) to its image A' (-1,
A
-5), complete the mapping for the translation (x, y) –
Step-by-step explanation:
(-3,-2)
that is the translation matrix for this question
Toby buys a new game for the price of $45.50. If the sales tax is 5%:
What is the sales tax amount?
What is the final amount
including taxi need it today
Answer:
Taxi Cost = $47.78
Step-by-step explanation:
Taxi Cost = Cost of the ride + (Cost of the ride × sale tax %) 5% = .05 as a
decimal
Taxi Cost = $45.50 + (45.50 × .05)
Taxi Cost = $45.50 + $2.275)
Taxi Cost = $47.775
Taxi Cost = $47.78
please help me mate, would ya? please
x=2 y=3 3x2 is 6, then 6-3 is 3.
x=3 y=6 3x3 is 9, then 9-3 is 6
x=4 y=9 3x4 is 12, then 12-3 is 9.
x=9 y=24 3x9 is 27, then 27-3 is 24.
Answer: (2,3) , (3,6) , (4,9) , (9,24)
Step-by-step explanation: In order to get the values of y you need to plug each value of x into the function y=3x-3. to find the value of your first y you would plug in 2 to y=3x-3 which would look like 3(2)-3 and you would solve from here to get y. using PEMDAS 3 times 2 is 6 and 6 minus 3 is 3 making your y value 3 and the point (2,3). If you plug in all the other x's (3,4,9) to the function you will get the values of y for that specific x too.
Hope this helped!
Estimate and solve 3,514 ÷ 68:)
Answer:
Step-by-step explanation:
4 ⟶ 30 34 is rounded down to 30
86 ⟶ 90 86 rounded up to 90
34 ⟶ 30
86 ⟶ 90
34 is rounded down to 30
86 rounded up to 90
Calculate mentally 30 × 90 = 2700
The estimated product is 2700.
a cartoon having 50 oranges weight 7.5 kg how much will thousand oranges weight
Answer:
150kg
Step-by-step explanation:
50 oranges ----- 7.5 kg
1000 ------- x
50 * x = 1000 * 7.5
x = 7500 / 50
= 750/5
=150
write the equation of a line parallel to 2x+3y=12 that passes through the point (-3,4)
Answer:
[tex]y = \frac{-2}{3}x + 2[/tex]
Step-by-step explanation:
The first step is convert the given equation in a dependent and independent equation.
[tex]2x + 3y = 12[/tex]
[tex]3y = 12 - 2x[/tex]
[tex]y = 4 - \frac{2}{3}x[/tex]
[tex]x[/tex] is the independent variable and [tex]y[/tex] the dependent variable.
Since both lines are parallel the slope of both equations are the same
[tex]y = \frac{-2}{3}x + b[/tex]
Now for find the unknow [tex]b[/tex] replace the [tex]x[/tex] and [tex]y[/tex] fo the given point.
[tex]4 = (\frac{2}{3})3 + b[/tex]
[tex]4 = 2 + b[/tex]
[tex]4 - 2 = b[/tex]
[tex]2 = b[/tex]
So the final equation is equal to
[tex]y = \frac{-2}{3}x + 2[/tex]
PLESE HELP ASAP A rice dish requires 1/3 cups of rice for every 3/4 cups of water. How many cups of rice is needed per cup of water? Enter your answer in the boxes as a fraction in simplest form.
Answer:
3/6 of a cup for every cup of water.
Step-by-step explanation:
