Answer:
0.59998
Step-by-step explanation:
Number of keys = 3
Number of coins = 7
Total = 10
Number of items taken out = 2
Expected number of keys taken out:
Let x = Number of keys taken out
X = 0
1st pick = 7/10
2nd pick = 6/9
7/10 * 6/9 = 0.46666
X = 1
(7/10 * 3/9) + (3/10 * 7/9) = 0.46666
X = 2
(3/10 * 2/9) = 0.066666
X : ____ 0 ______ 1 _______ 2
P(X): _0.46666__0.46666 _0.06666
Expected value :
(0*0.46666) + (1*0.46666) + (2*0.06666)
= 0.59998
Steph makes scones in three flavours: cheese, fruit and plain.
She makes:
• 4 times as many fruit scones as cheese scones,
• 3 times as many plain scones as cheese scones.
She sells each scone for the same price.
She makes a total of £96 from the sale of all the scones.
How much does she make from the sale of the plain scones?
Answer:
The amount she makes from the sale of plain scones is £36
Step-by-step explanation:
The number of flavors of scones Steph makes =
The number of fruit scones she makes = 4 × The number of cheese scones she makes
The number of plain scones she makes = 3 × The number of cheese scones she makes
The price at which she sells the cheese scones = The price at which she sells the fruit scones
The price at which she sells the cheese scones = The price at which she sells the plain scones
The total amount she makes = £96
Let, 'x', represent the number of cheese scones she makes
Therefore, we have;
The number of fruit scones she makes = 4·x
The number of plain she makes = 3·x
∴ The total number of scones she makes = 4·x + 3·x + x = 8·x
The total number of scones she makes = 8·x
The total amount she makes from selling the 8·x scones she makes = £96
∴ 8·x = £96
x = £96/8 = £12
The amount she makes from the sale of 'x' number of scones = £12
The number of plain scones she makes = 3·x
From the sale of '3·x' number of plain scones, she makes = £12 × 3 = £36
Which Graph Matches The Table?
Answer:
graph W
Step-by-step explanation:
Of the questions on his math test, Shane answered 42 correctly and 18 incorrectly. What percent of the total questions did Shane answer correctly?
Answer:
She answered 70% of the questions correctly.
What is the value of x?
Rachel used 18 centimeters of tape to wrap 6 presents. How much tape will Rachel need in all if she has to wrap 15 presents? Solve using unit rates.
centimeters
Answer:
Rachel would need 45cm of tape to wrap 15 presents.
Step-by-step explanation:
Firstly we need to find how much is required to wrap one presnt: 18÷6=3.3cm of tape is needed to wrap one present.
Secondly to find how many she needs to wrap 15 we sinply multiply 15 by three and get 45.
I hope this helps you in any way.
multiply -24, and add -10
-12 and 2
-12×2= -24
-12+2= -10
evaluate the expression3+(a+4)(8-b) when a = 5 and b = 6
Answer:
21
Step-by-step explanation:
3+(a+4)(8-b)
3+(5+4)(8-6)
3+(9)(2)
3+18
21
Helppp Bc I don’t know what to do
Answer:
Option (b) will be the correct answer.
Step-by-step explanation:
190×10⁸
1.9×10²×10⁸
1.9×10¹⁰
Answer:
B
Step-by-step explanation:
190 x 10^8 = 19000000000
1.9 x 10 ^10= 19000000000
can you solve this? what is sin 60
Answer:
Yo the answers B
√3/2
Step-by-step explanation:
PLEASE HELP!!!
Paula can spend no more than $500 for a photographer to take specialty photos for the dinner. Aerial photos from a drone cost $25 each, and wide-angle photos cost $50 each. Part A Write an inequality that represents the number of each type of photo that Paula can buy. Let x equal the number of aerial photos and y equal the number of wide-angle photos.
Answer:
25x + 50y <= 500
Phil is riding his bike. He rides 25 miles in 2 hours, 37.5 miles in 3 hours, and 50
miles in 4 hours. Find the constant of proportipnality and write an equation to
describe the situation. Let x represent the number of hours.
The equation that describes the relationship is y =
The constant of proportionality (known as "speed" in this case) is 12.5 miles per hour.
The equation is
d
=
12.5
×
t
Explanation:
To find the constant of proportionality, divide one value in each pair by the other. If this relationship is a true direct proportionality , when you repeat these for every pair, your will come up with the same value:
For example
25
miles
÷
2
hours
=
12.5
miles
hour
A direct proportionality will always result in an equation that resembles this:
y
=
k
x
where
y
and
x
are the related quantities and
k
is the constant of proportionality. If you draw a graph using the values you have, the graph will show a straight line the passes through the origin. The slope of this line will be the constant of proportionality. (And if the values given are real physical quantities, this constant will contain important information about the situation you are studying!)
DIRECTIONS: BELOW ARE NUMBERS EXPRESSED IN EXPONENTIAL NOTATION. GIVE THE VALUE OF EACH EXPONENTIAL NOTATION.
1. 4³ =
2. 6⁴ =
3. 25 =
4. 5² =
5. 3⁴ =
Answer:
1) 4 × 4× 4 = 64
2) 6⁴ = 1296
3) 25 = 25
4) 5² = 2
3) 3⁴= 81
Sita bought a sofa set for Rs 30,000 and a dining set for Rs 20,000. He sold the sofa set at a loss of 5% but made a profit of 5% on the dining set. The net result of the transaction is?
Answer: See explanation
Step-by-step explanation:
Sita bought a sofa set for Rs 30,000 and sold the sofa set at a loss of 5%. The loss on the sofa will be:
= 5% × 30000
= 5/100 × 30000
= 0.05 × 30000
= 1500
Selling price of the sofa = 30000 - 1500 = 28500
Sita bought a dining set for Rs 20,000 and made a profit of 5% on the dining set. The selling price of the dining set will be:
= 20000 + (5% × 20000)
= 20000 + (0.05 × 20000)
= 20000 + 1000
= 21000
The cost price of the sofa and dining set will be:
= Rs 20000 + Rs 30000
= Rs 50000
The selling price of the dining set will be:
= Rs 28500 + Rs 21000
= Rs 49500
The net result of the transaction is will be:
Selling price - Cost price
= 49500 - 50000
= -500
There's a net loss of $500
1. Does this equation represent growth or decay?
A (t) = 800(1.21)
Answer:Decay
Step-by-step explanation: because of perenthesis
hmm i sure do ask a lot of questions
Answer:
A bc it show that it travels 25 miles to the hour.
In other words Miles per hour= 25 to 1 hour
Step-by-step explanation:
Hope this helps :)
The length of one base of a trapezoid is 19 meters and the length of the median is 23 meters. Find the length of the other base,
Answer:
27
Step-by-step explanation:
19+x/2=23
19+x=46
x=27
or 19-23=4
23+4=27
The length of the other base of the trapezoid is 27 meters.
What is a Trapezoid?A trapezoid is a polygon with four sides, it has one pair of parallel sides.
The length of the base of a trapezoid is 19 meters.
The length of the median is 23 meters.
The median in a trapezoid is a line that is in the drawn in the mid way of the two non-adjacent sides.
The value of median is half of the bases added together.
Median = (1/2) ( Base₁ + Base₂)
Substituting the values in the formula to obtain the value of the other base.
Let x be the length of the other base,
23 = (1/2) * ( 19 + x)
23 *2 = 19+x
46 = 19 +x
x = 27 meters
The length of the other base is 27 meters.
To know more about Trapezoid
https://brainly.com/question/8643562
#SPJ5
Calculate the volume of liquid that would fill the bowl of the glass. Show all your work.
Answer:
52.36
Step-by-step explanation:
Formula to find volume in a cone is
V = pi • radius^2 h/3
So we fill in the numbers
V = pi •
the radius is half of diameter,
The diameter is 5
So it's
V = pi • 2.5
since it's half of 5
V = pi • 2.5^2 h/3
the height is 8 so we fill it in
V = pi • 2.5^2 8/3
When calculated, you get..
52.36
The volume of the liquid which can fill the bowl of the glass (in shape of cone) with the liquid is 49.74 cm³.
What is of volume of solid?Volume of solid is the amount of quantity, which is obtained by the solid or object in the 3 dimensional space.
The volume of the cone can be given as,
[tex]V=\dfrac{1}{3}\pi r^2\sqrt{l^2-r^2}[/tex]
Here, (r) is the radius of the base of the cone and (l) is the slant height of the cone.
Here, the diameter of the cone is 5 cm. thus the radius of the cone is,
[tex]r=\dfrac{5}{2}\\r=2.5\rm cm[/tex]
The slant height of the cone is 8 cm. Thus, put the value to find the volume of cone as,
[tex]V=\dfrac{1}{3}\pi (2.5)^2\sqrt{(8)^2-(2.5)^2}\\V\cong 49.74\rm cm^3[/tex]
Thus the volume of the liquid which can fill the bowl of the glass (in shape of cone) with the liquid is 49.74 cm³.
Learn more about the volume of solid here;
https://brainly.com/question/1355179
Given ABC, what is the value of x?
HELP ME PLS THIS IS URGENT
Answer:
x=35
Step-by-step explanation:
We know that sum of angles in a triangle=180
120
o
+25
o
+x=180
145
o
+x=180
o
x=35
o
Enlarge the triangle by scale factor -2, using point (8,8) as the centre of enlargement
(please hurry 15 points)
Answer:
I understand you probably don't need this anymore but here is the answer anyway.
Step-by-step explanation:
So what you want to do is draw a line from a corner to the centre of enlargement (I'll use the one at (9, 10) ). Then you see that it take 2 boxes to get to that, keep the line going through for double as much as it took to reach the centre of enlargement, this is because the scale factor is two. Do this for every corner, going through the centre of enlargement for the double the length it took to get to it (plot a cross at each bit you end up). Finally, remove the lines you used and connect the crosses. This method may be a bit confusing and someone who understands it more than me would probably explain what the minus means, if I explain it will probably make this more confusing. Hope this Helps!
The cost C (in dollars) of making n watches is represented by C = 15n + 85 .
How many watches are made when the cost is $385?
how many watches?
HELPPPPP !!!!!!! Please answer correctly Will mark Brianliest !!!!!!!!!!
PLEASE HELP MEEEEEEEE
Answer: 4.19
v = 4/3 * 3.14 * 1^3
v = 4/3 * 3.14
v = 4.19
Find the value of x.
Answer:
i forget im sorry
Answer:
find the value of x
20
40
Step-by-step explanation:
Kathy is making 3 batches of pancakes for a brunch party. If each batch needs 1712 cups of milk, how much milk does she need altogether?
Answer:
5,136
Step-by-step explanation:
because 1,712×3=5,136
Simplify the expression
Answer:
x12
Step-by-step explanation:
(x*x*x*x*x) *(x*x*x*x*x*x)
HURRY
What is the name of the figure?
triangular prism
O triangular pyramid
O rectangular prism
O rectangular pyramid
Answer:
rectangular pyramid
Step-by-step explanation:
The sum of the digits of a two-digit
number is 12. If the digits are interchanged,
the number is increased by 36. Find the
number
Answer:
48
Step-by-step explanation:
x+y=12
y=12-x
10y+x =10x+y +36
9y-9x=36
108-9x-9x=36
-18x=-72
x=4
y=8
Giving brainliest to whoever comments the right answer first
Answer:j
Step-by-step explanation:
what shape is similar to the original shape
Answer c
Step-by-step explanation:
they have to be equivalent
A rock was thrown from the top of a building. The distance, in feet, between the rock and the ground t seconds after it is thrown is represented by d=-16t squared -4t+382. How long after the rock is thrown is it 370 feet from the ground
Answer:
Step-by-step explanation: