Answer:
A. 2/20
Step-by-step explanation:
2/20 = 1/10
2/15 = 2/15
2/10 = 1/5
In a sample of 800 adults, 242 said that they liked sugar cereals. Three adults are selected at random without replacement. Find the probability that all three like sugar cereals.
Answer:
[tex]P(A) = 0.0274[/tex]
Step-by-step explanation:
Given
[tex]n = 800[/tex] --- Population
[tex]A = 242[/tex] --- those that liked sugar cereals
Required
Probability that three selected like sugar cereals
The probability that the first adult selected likes sugar cereals is:
[tex]P(A_1) = \frac{242}{800}[/tex]
The probability that the second adult selected likes sugar cereals is:
[tex]P(A_2) = \frac{242-1}{800-1} = \frac{241}{799}[/tex]
We subtracted 1 because it is a probability without replacement
Similarly:
[tex]P(A_3) = \frac{241-1}{799-1} = \frac{240}{798}[/tex]
The required probability is calculated as follows:
[tex]P(A) = P(A_1) * P(A_2) * P(A_3)[/tex]
[tex]P(A) = \frac{242}{800} * \frac{241}{799} * \frac{240}{798}[/tex]
[tex]P(A) = \frac{242*241*240}{800*799*798}[/tex]
[tex]P(A) = \frac{13997280}{510081600}[/tex]
[tex]P(A) = 0.0274[/tex]
The question is in the pic
Answer:
[tex] \boxed{\frac{12}{1} = \frac{24}{2} = \frac{36}{3} = \frac{48}{4} = \frac{?}{5} = \frac{72}{6}}\\ [/tex]
Therefore, all the ratios are same i.e., 12
So, 12×5=60.
60 passengers can be transported in five vans.
Given the description of the sequence, write the first four terms in the numeric sequence.
A geometric sequence with a common ratio of -3 and an initial term of 3
Answer:
3, -9, 27, -81
Step-by-step explanation:
Multiply -3 everytime starting from 3.
HELP!! WILL GIVE BRAINLIEST!!!
The direct proportion y=kx is given in the following table. Find the coefficient k, and fill in the table:
Answer:
Look at image
Step-by-step explanation:
image shown below, copy the answer from there.
The value of coefficient k is 5. The required values are y = 15.5 when x = 3.1, y = 12.5 when x = 2.5, y = 6 when x = 1.2, y = 4.5 when x = 0.9, x = 0.06 when y = 0.3, and x = 0.02 when y = 0.1.
What is the equation?The term "equation" refers to mathematical statements that have at least two terms with variables or integers that are equal.
The direct proportion y = kx is given in the shown table.
Find the coefficient k, and fill in the table:
As per the question, we have
y = kx .....(i)
To determine the value of k, we substitute the value of x = 0.14 and y = 0.7 in equation (i),
⇒ 0.7 = k (0.14)
⇒ k = 0.7/0.14
⇒ k = 5
Substitute the value of k = 5 in equation (i), and we get
y = 5x .....(ii)
Now, we are finding the values of the table,
Substitute the value of x = 3.1 in equation (ii), and we get
y = 5(3.1)
y = 15.5
Similarly, the other required values are
y = 12.5 when x = 2.5, y = 6 when x = 1.2, y = 4.5 when x = 0.9, x = 0.06 when y = 0.3, and x = 0.02 when y = 0.1.
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Solve for the following equation
R-(-5)=-9
New car purchase and financed with documentation and registration feeds
Answer:
Uhh
Step-by-step explanation:
what?
if you mean u bought a new car congrats
T(p)=(p-0.5)(1000/1-p^2)
p∈{0.5,∞)
Find all the critical points.
b- Find Extreme values and Absolute Extreme values.
c- Determine the behavior of function in the given interval.
d- What happened as p tends to infinity i.e.
e- Sketch the graph using information from a to d points.
Answer:
Step-by-step explanation:
T' = 1000(p^2 - 1 + 1)/(p^2-1)^2
(a) since T' is never zero, there are no maxima or minima.
However, there are asymptotes at p = -1 and p=1
(b) no extremes
(c) on [0.5,1) T increases to ∞
on (1,∞) T increases from -∞ to 0
(d) y=0 is the horizontal asymptote
there are lots of handy online graphing sites.
Micah is planning a road trip. He estimates that he will drive a total of of 8 1/4 hours. He wants to stop for gas after 1/3 of the total time has passed. How long will he drive before he stops for gas? Express your answer as a mixed number.
a. 8 1/12 hours
b. 2/3 hours
c. 11/4 hours
d. 2 3/4 hours
8.25 hours is our base number here. 1/3 of it is taken up when he stops at the gas station.
8.25, 4.125 is half of it, 2.75 is our answer for this,
8.25/3 gives you 2.75 due to 2.75 making it 5.5 when doubled and so on
so, the answer is 2 3/4 hours, D
What is the difference between lateral area and total surface area?
[tex]\huge\star{\underline{\mathtt{\red{A}\pink{N}\green{S}\blue{W}\purple{E}\orange{R}}}}\star[/tex]
The lateral surface area of an object is all of the sides of the object, excluding its base and top.
The total surface area of an object is is all of the sides of the object.
Option [c] is correct !
Norah has 2 3 ton of stone to spread equally in 4 square yards. How many tons of stone will be spread in each square yard
Answer:
The answer is 1/6.
Step-by-step explanation:
The question is worded in such a way to be open to misunderstanding. I feel it could mean Norah must spread her stone at the rate of 2/3 of a ton per square yard across 4 square yards and the total is sought.
It could also be saying that Norah has 2/3 of a ton to be divided equally across 4 square yards and is seeking the amount of stone each square yard needs.
In the former case it is a matter of multiplying the vulgar fraction by four and in the latter case the answer could be approached by considering the total amount of stone given is four times the answer that is required and so would be given by dividing 2/3 by 4/1 or more simply by multiplying by 1/4 and not forgetting to cancel the resulting fraction down to the lowest common denominator.
A better way for practical purposes would be to convert 2/3 of a ton into pounds and then divide by four. A workman required to do the work would not be messing around with fractions but would be working in pounds and tons or if using Imperial measure it would be pounds, stones, hundredweight and tons.
please help me if you think you're beautiful kind hot funny please help me please
Answer:y= 3x-4
Step-by-step explanation:
Use the equation: y-y1=m(x-x1)
Here, y-2=3(x-6)
y=3x-4
I am learning about rate of change, please help
Answer:
y=2
Step-by-step explanation:
Answer:
For 10. the answer is 0, and 150 miles (assuming the 25 is in miles per hour)
For 11. the answer is 0, and 22.5 tacos
Step-by-step explanation:
Rate of change is equal to the change y over the change in x, or in this case, the change in speed over the change in time, because the rate for both problems is "constant", there is no change in speed. To find the number of miles driven you need to multiply the time passed (6 hours) by the speed (25 mph), 6 x 25 = 150. The number of tacos eaten is times passed (9 minutes) multiplied by the speed he is eating tacos (2.5 tacos per minute), 2.5 x 9 = 22.5. Hope this helps!
Help plz:)))I’ll mark u Brainliest
please help me with this question!
Answer:
[tex]-\frac{4}{9}[/tex]
Step-by-step explanation:
Answer:
What the first guy said.
Step-by-step explanation:
need help to do this step by step please
3x2 - 2x=-1
Answer:
Solving the expression [tex]3x^2-2x=-1[/tex] we get: [tex]\mathbf{x=\frac{1+\sqrt{2}i }{3}\:or\:x=\frac{1-\sqrt{2}i }{3}}[/tex]
Step-by-step explanation:
We need to solve the expression: [tex]3x^2-2x=-1[/tex]
This is a quadratic expression and it can be solved using quadratic formula
Solving:
[tex]3x^2-2x=-1\\[/tex]
we can write it as:
[tex]3x^2-2x+1=0[/tex]
The quadratic formula is: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
where a = 3, b = -2 and c= 1
Putting values and solving:
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-(-2)\pm\sqrt{(-2)^2-4(3)(1)}}{2(3)}\\x=\frac{2\pm\sqrt{4-12}}{2(3)}\\x=\frac{2\pm\sqrt{-8}}{6}\\We\:know\:that\:\sqrt{-1}=i\\x=\frac{2\pm\sqrt{8}\sqrt{-1} }{6} \\We\:know\:\sqrt{8}=\sqrt{2\times 2 \times 2}=\sqrt{2^2 \times 2}=2\sqrt{2} \\x=\frac{2\pm2\sqrt{2}i }{6}\\Now,\\x=\frac{2+2\sqrt{2}i }{6}\:or\:x=\frac{2-2\sqrt{2}i }{6}\\x=\frac{2(1+\sqrt{2}i) }{6}\:or\:x=\frac{2(1-\sqrt{2}i) }{6}\\x=\frac{1+\sqrt{2}i }{3}\:or\:x=\frac{1-\sqrt{2}i }{3}[/tex]
So, solving the expression [tex]3x^2-2x=-1[/tex] we get: [tex]\mathbf{x=\frac{1+\sqrt{2}i }{3}\:or\:x=\frac{1-\sqrt{2}i }{3}}[/tex]
Somebody please tell me how to solve this-
Answer:
64ft
Step-by-step explanation:
a+b/2xh
17+9=16
16/2=8
8x8=64ft
Harper sells appliances. She makes a weekly salary of $450 plus 3% commission on her total sales for the week. If her sales this pasts week were $3,200, find her total earnings for the week.
Answer:
$ 246
Step-by-step explanation:
3% of 3,200 is 96
so 96 + 450 = 246
Given: wzx and yzx are right triangles, wx = yx. Prove wxz ~= yx .....plz answer will give brainlyest!!
Answer:
The answer is below
Step-by-step explanation:
From the question,
Statement Reason
ΔWZX and ΔYZX are Given
right angled triangles
WX = YX Given
XZ ≅ XZ Reflexive property. The reflexive
property of congruence states that
any shape is congruent to itself.
∠XZW = ∠XZY Definition of right angle.
∠XWZ = ∠XYZ Definition of isosceles triangle.
Triangle XYW forms a right angled
triangle since YX = WX
∠XWZ + ∠WXZ + ∠XZW = 180° Sum of angles in triangle WZX
∠XZY + ∠XYZ + ∠YXZ = 180° Sum of angles in triangle YZX
∠XWZ + ∠WXZ + ∠XZW = Substitution
∠XZY + ∠XYZ + ∠YXZ
∠XYZ + ∠WXZ + ∠XZY = Substitution
∠XZY + ∠XYZ + ∠YXZ
∠WXZ = ∠YXZ Simplification
2 companys are in a leage together.
company 1 :it costs 20 dolors to come to the house and 30 dollors per hour to work on the house.
company 2: it costs 40 for them to come to the house and it costes 25 dollars a hour to work on the house.
how log do they both have to work for their total cost equel.
Answer:
I believe it would be 9 hours for company 1, and 10 for company 2
Step-by-step explanation:
30 x 9 = 270 (+ the first 20) =290
25 x 10 = 250 (+ the first 40) =290
100 points and brainliest for best answer please i need help
Write 4x^2 + y^2 - 32x + 4y + 52 = 0
Answer:
dy/dx= -4x+16/y+2
Step-by-step explanation:
just cause also if you need to classify then it's ellipse (this is to find the first derative)
do you need it in standard form
the sum of 8 inches and 5 times the length x of a table
Answer:
Step-by-step explanation:
you translate this in
8+5x
Solve for y
Simplify your answer as much as possible.
-6y = -18
Answer:
y = 3
Step-by-step explanation:
-6 divided by -18 = 3
ixl.com/math/grade-7/area-of-triangles-and-trapezoids
What is the area?
9 yd
8 yd
square yards
(click on picture)
Answer:
28
Step-by-step explanation:
The area is multiplying the width and height together divided by two. 9*8 is 56. 56/2 is 28.
Which table represents a linear function?
Answer:
you are flying a kite that has been released with 200 M of string the string forms in angle of 30° with the ground how high is the kite flying
ADD ANSWER
+5 PTS
Step-by-step explanation:
Solve each equation. Check your solution.
2.2n + 0.8n + 5 = 4n
Help please...................
Answer:
7 1/8
Step-by-step explanation:
4 + 2 = 6
6/8 + 3/8 = 9/8 or 1 1/8
1 1/8 + 6 = 7 1/8
I will give brainiest to whoever answers correctly !!
Given:
Cost of fish dinner = $10.95
selling price of fish dinner = $13.95.
To find:
The percent markup.
Solution:
We know that,
[tex]\text{Percent Markup}=\dfrac{\text{Price - Cost}}{\text{Cost}}\times 100[/tex]
Using this formula, we get
[tex]\text{Percent Markup}=\dfrac{13.95-10.95}{10.95}\times 100[/tex]
[tex]\text{Percent Markup}=\dfrac{3}{10.95}\times 100[/tex]
[tex]\text{Percent Markup}=\dfrac{300}{10.95}[/tex]
[tex]\text{Percent Markup}=27.39726[/tex]
Round to the one decimal place.
[tex]\text{Percent Markup}\approx 27.4[/tex]
Therefore, the markup is 27.4%.
Will mark brainliest!!! Solve for each variable!
Answer:
x = 4, y = 116
Step-by-step explanation:
In a parallelogram, the opposite sides and opposite angles are congruent.
3x + 4 = 16 ( subtract 4 from both sides )
3x = 12 ( divide both sides by 3 )
x = 4
and
y - 60 = 56 ( add 60 to both sides )
y = 116
(3, 4) was dilated to become point X' (12, 16). What was the
scale factor?
Step one: correspond x values and y values together
it would be: 3, 12 and 4, 16
Step two: divide
12/3 = 4 and 16/4 = 4
both numbers = 4
scale factor is 4
20% of Aussies have blue eyes. If 4 Aussies in a play group have blue eyes, how many Aussies are in the group?
Answer:
20
Step-by-step explanation:
Step 1: 4 = 20% × Y
Step 2: 4 = 20/100 × Y
Multiplying both sides by 100 and dividing both sides of the equation by 20 we will arrive at:
Step 3: Y = 4 × 100/20
Step 4:Y = 4 × 100 ÷ 20
Step 5: Y = 20
The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
20% = 4
100% = 20
The total number of people in the group is 100 people.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
We have,
Number of Aussies with blue eyes = 4
Percentage of blue eyes in the Aussies = 20%
This can be written as:
20% = 4
Now,
The percentage of the total number of people in the group = 100%
So,
20% = 4
Multiplying 5 on both sides.
5 x 20% = 5 x 4
100% = 20
This means,
The total number of people in the group is 100.
Thus,
The total number of people in the group is 100 people.
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