Multiply 120 by 18%
Change 18% to a decimal: 0.18
120 x 0.18 = 21.6
Answer: 21.6
A line has a slope of 1 and passes through the point (8, 1) . What is its equation in slope -intercept form?
Answer:
Step-by-step explanation:
y - 1 = x - 8
y = x - 7
A laptop is bought for $1380 VAT inclusive. If VAT was charged at 15%, what
is the price of the laptop exclusive of VAT?
Answer:
vat=15%
selling price with vat=$1380
selling price with out vat=?
we have
selling price with vat=$1380
selling price with out vat+vat%of selling price with out vat =$1380
selling price with out vat(1+15/100)=$1380
selling price with out vat=$1380/1.15=$1200
Suppose that out of 20% of all packages from Amazon are delivered by UPS. 15% of the packages that are delivered by UPS weighs 2 lbs or more. Also, 7% of the packages that are not delivered by UPS weighs less than 2 lbs. a. What is the probability that a package is delivered by UPS if it weighs 2 lbs or more
Answer:
0.1938 = 19.38% probability that a package is delivered by UPS if it weighs 2 lbs or more
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: It weighs 2 lbs or more
Event B: Delivered by UPS
15% of the packages that are delivered by UPS weighs 2 lbs or more.
This means that [tex]P(A \cap B) = 0.15[/tex]
More than 2 lbs:
15% of 20%(UPS)
93% of 80%(Not delivered by UPS). So
[tex]P(A) = 0.15*0.2 + 0.93*0.8 = 0.774[/tex]
a. What is the probability that a package is delivered by UPS if it weighs 2 lbs or more
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.774} = 0.1938[/tex]
0.1938 = 19.38% probability that a package is delivered by UPS if it weighs 2 lbs or more
Please help Solve 3(x+3)=39
Answer:
x=10
Step-by-step explanation:
Answer:
Step-by-step explanation:
3(x+3)=39 first you distribute the the then you get 3x+9=39 then you subtract so then you have 3x=30 then divide 30 by 3 and you have 10! hoped it helped some. ( the answer is x=10)
Ren sets aside $1,000 into an online savings account with an annual
interest rate of 2.3%, compounded annually. How long will it take for the
money in his account to double?
Answer:
It will take 30.48 for the money in his account to double.
Step-by-step explanation:
Interest compounded anually:
With an investment of P, the amount compounded annualy after t years that you will have is given by:
[tex]A(t) = P(1+r)^{t}[/tex]
In which r is the interest rate, as a decimal.
Ren sets aside $1,000 into an online savings account with an annual interest rate of 2.3%
This means that [tex]P = 1000, r = 0.023[/tex]. So
[tex]A(t) = P(1+r)^{t}[/tex]
[tex]A(t) = 1000(1+0.023)^{t}[/tex]
[tex]A(t) = 1000(1.023)^{t}[/tex]
How long will it take for the money in his account to double?
This is t for which A(t) = 1000*2 = 2000. So
[tex]A(t) = 1000(1.023)^{t}[/tex]
[tex]2000 = 1000(1.023)^{t}[/tex]
[tex](1.023)^{t} = \frac{2000}{1000}[/tex]
[tex](1.023)^{t} = 2[/tex]
[tex]\log{(1.023)^{t}} = \log{2}[/tex]
[tex]t\log{1.023} = \log{2}[/tex]
[tex]t = \frac{\log{2}}{\log{1.023}}[/tex]
[tex]t = 30.48[/tex]
It will take 30.48 for the money in his account to double.
Walter makes a cable
payment of $84
each month.
Which table represents
the
relationship between m, the
number of months, and c, the
amount he has paid for cable
for that length of time?
-2/22/21, please answer by 2/25/21
Answer:
The answer is A.
Step-by-step explanation:
Choose the graph of the inequality - 3 > ..
Choose 1 answers
5
.4
-3
2
1
0
1
2
3
4
5
2
1
0
1
2
3
4
5
CO
-3
2.
0
1
3
4
5
Answer: 5
Step-by-step explanation: 5 isn’t equal to all
What is the estimate for each expression? Drag the number to each box.
011/2
Expression Estimate
1
8
+
2
5
13
14
−
1
10
1
12
+
1
20
Given the following expression:
[tex]\frac{1}{8} + \frac{2}{5}[/tex][tex]\frac{13}{14} -\frac{1}{10}[/tex][tex]\frac{1}{12} + \frac{1}{20}[/tex]To determine an estimate for each expression:
What is a fraction?A fraction can be defined as a numerical quantity that is not expressed as a whole number. Therefore, a fraction is simply a part of a whole number.
The parts of a fractionGenerally, a fraction comprises two (2) main parts and these include:
Numerator: it's the upper part of a fraction.Denominator: it's the lower part of a fraction.In this exercise, we would simplify and estimate the given expressions as follows:
Note: An estimate simply means an approximate value.
a. [tex]\frac{1}{8} + \frac{2}{5}=\frac{5+16}{40}=\frac{21}{40}[/tex]
For the estimate:
[tex]\frac{1}{8} + \frac{2}{5}=\frac{1}{2}[/tex]
b. [tex]\frac{13}{14} -\frac{1}{10}=\frac{130-14}{140} =\frac{116}{140} =0.83[/tex]
For the estimate:
0.83 ≈ 1
c. [tex]\frac{1}{12} + \frac{1}{20}=\frac{5-3}{60} =\frac{2}{60} =0.03[/tex]
For the estimate:
0.03 ≈ 0
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You select 6 cards randomly from a deck of 52 cards. What is the probability that all of the cards selected are face cards
Answer:
Step-by-step explanation:
There are two different techniques that I can think of for arriving at the answer. The first method utilizes combination, sometimes referred to as the “choose” operator. First, we need to know how many 6 cards hands are possible, which can be calculated using 52 choose 6, which in notation looks like (526) =20,358,520 . This is our denominator.
Now that we know how many total 6 cards hands there are in a normal deck, we need to find the numerator, which is how many 6-card hands can be made up of all hearts. Since there are 13 hearts in the deck, we can find that number with (136) =1,716 .
Completely written out in mathematical notation, the probability of drawing 6 cards that are all hearts, appears as follows:
(136)(526)=171620358520≈0.0000843≈0.00843%
__________________________________________________
The second method that results in the same value can be found by multiplying together the chances of drawing the individual cards at each step, for example, there is a 1352 chance of the first card drawn being a heart, 1251 for the second, and so on.
This second method looks like:
1352×1251×1150×1049×948×847≈0.0000843≈0.00843
Incidentally, 13!46!7!52! is another way to notate this second method.
Personally, I find the first method to be cleaner and easier to work with, but some may find the second more intuitive.
Answer: 11/51
Step-by-step explanation: After you've picked the first card, if it's a face card then there are only 11 faces cards left, out of a total of 51. So the probability of the next card also being a face card is 11/51.
What method can you use to find the area of the
composite figure? Check all that apply.
decompose the figure into one rectangle and one
triangle, and add the areas
decompose the figure into two trapezoids, and add
the areas
find the area of the larger rectangle, then subtract
the area of the square
find the area of the larger rectangle, then subtract
the area of the two small triangles
O find the area of the larger rectangle
To find the area of the composite figure:-
We can use following methods-
1. Decompose the figure into one rectangle and one triangle and add the area.
2. Decompose the figure into two trapezoids and add the area.
3. Find the area of the larger rectangle, then subtract the area of the two small triangle
What is composite figure?"It is shape that is made up of two or more geometric shapes"
What is area of triangle?A = 1/2 × b × h
where b is the base of the triangle and 'h' is the height of the triangle
What is the area of rectangle?A = l × w
where l = length of the rectangle
w = width of the rectangle
For given example,
We need to find the area of the composite figure.
To find the area of the composite figure:-
We can follow-
1. Decompose the figure into one rectangle and one triangle and add the area.
2. Decompose the figure into two trapezoids and add the area.
3. Find the area of the larger rectangle, then subtract the area of the two small triangle
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Answer: A, B, and D
Step-by-step explanation:
Pls help me
A) 54
B) 108
C) 3
D) 18
The answer is 54 I believe.
cause 9 × 6 is 54.
The measure of an angle is 8º. What is the measure of its complementary angle?
HELPPP plzz
Answer:
82 degrees
Step-by-step explanation:
Complementary angles add up to 90 degrees. if one angle is 8 then,
90-8=82
What is the solution to
Multiply (Y-1)(y+8)
whats is y? I can't solve the problem without it
Helllpppppp it’s due tomorrow plssss
Answer:
A-B= 1/4 inch
A-G= 3-3/4 inch
A-D= 3/4 inch
A-K= 4-3/4 inch
A-I= 1-3/4 inch
A-E 1 inch
A-J= 3 inch
A-L= 4-1/4 inch
A-F= 2-1/4 inch
A-H= 1-1/2 inch
A-C= 1/2 inch
A-M= 5-3/4 inch
Step-by-step explanation:
What is the solution to the system of linear equations graphed below?
Answer:
Step-by-step explanation:
The solution is the point where the lines intersect! (3.5,-4)
A parallelogram is formed by the supports that
attach a basketball backboard and rim to the wall.
The angles change as the basketball apparatus is
taken out and put away. Find mZBCD when
m ZDAB = 320
Answer:
[tex]m\angle BCD = 32^{\circ}[/tex]
Step-by-step explanation:
Given
[tex]m\angle DAB = 32^{\circ}[/tex]
See attachment for basketball blackboard
Required
Find [tex]m\angle BCD[/tex]
In the attachment:
[tex]m\angle BCD[/tex] and [tex]m\angle DAB[/tex] are opposite angles
And in a parallelogram, opposite angles have the same measure.
This implies that:
[tex]m\angle BCD = m\angle DAB = 32^{\circ}[/tex]
So:
[tex]m\angle BCD = 32^{\circ}[/tex]
Need help with this question
Answer:
Yes
5 Mins
7 blocks from home
Step-by-step explanation:
6- 1 Minute = 5 mins
Slower speed = Return Speed (Speed that took more time)
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 5.7 years, and standard deviation of 1 years.
The 7% of items with the shortest lifespan will last less than how many years?
Answer:
Bobies
Step-by-step explanation:
Answer:
Step-by-step explanation:
2x + 7y =3 what is x and what is y
2x + 7y = 3
2x = 3 - 7y
x = [tex]\frac{3x-7}{2}[/tex]
2x + 7y = 3
7y = 3 - 2x
y = [tex]\frac{3 - 2x}{7}[/tex]
y=10-13
what is the solution for y?
Answer:
-3
Step-by-step explanation:
10 minus 13 is negative 3.
A helicopter descended 145 m to observe the density of the population during the Centennial celebration
at the Luneta. It leveled off 230 m. what is the original altitude?
Answer:
Original altitude = 375 m
Step-by-step explanation:
Given:
Current height of helicopter = 145 m
New leveled off = 230 m
Find:
Original altitude
Computation:
Original altitude = Current height of helicopter + New leveled off
Original altitude = 145 m + 230 m
Original altitude = 375 m
molly is comparing two different food companies to provide food for her banquet. The total cost, y, includes a one-time delivery fee and an additional fee based on the number of people, x, who attend the banquet. What is the cost per person for Company A
Answer:
x
Step-by-step explanation:
the variable that represents the cost per person is x
The cost per person for company A is given as: [tex]C = \dfrac{y-d}{x}[/tex] where C is cost per person and d is one time fixed delivery fee.
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
For this case, let we take:
C = cost per person for company Ad = one-time delivery feeWe're given that:
y = total cost x = number of people, who attend the banquet.That means, as C is cost per person, so for x persons, it will be [tex]C \times x[/tex]
Thus, total cost = cost for x persons + delivery cost
or
[tex]y = C \times x + d\\\\[/tex]
Subtracting 'd' from both sides and then dividing both sides by 'x', we get
[tex]C = \dfrac{y-d}{x}[/tex]
Thus, the cost per person for company A is given as: [tex]C = \dfrac{y-d}{x}[/tex]where C is cost per person and d is one time fixed delivery fee.
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Chapter 18 Review nswer the following problems. Daniel has 7 trophies he has won playing soccer. How many different ways can he arrar them in a row on his bookshelf?
Hans spent three days baking 224 cookies. on the second day, he baked twice as many as he did on the first day. On the third day, he baked half as many as he did on the first day. how many cookies did he bake on the second day?
Answer:
She baked 32 cookies the first day, and 32*2=64 the second day.
Step-by-step explanation:
Which of the following expressions represents “5% of a number”?
A. 5n
B. 0.5n
C. 0.05
D. 500n
Answer:
b
Step-by-step explanation:
Joan is 66 inches tall.What is Joans height in feet?
Answer: 5 feet 6 inches.
Step-by-step explanation:
12 inches = 1 foot
We can divided 66 by 12 to find how tall Joan is in feet.
66 ÷ 12 = 5.5
The term "0.5" means half, and there are 12 inches in a foot. So half of a foot would mean 6, so Joan's height would be 5 feet and 6 inches.
Joan is 66 inches tall, then the height of Joan in feet will be equal to 5.5 feet.
What is Unit conversion?Multiplying or dividing by a numeric number, or more specifically, a correction factor, is a procedure comprising several steps known as conversion.
Rounding and choosing the appropriate number of significant digits may also be necessary steps in the procedure.
As per the given information in the question,
The given height of Joan = 66 inches
So, let's perform unit conversion,
1 foot = 12 inches, so,
x foot = 66 inches
Use cross-multiplication,
12x = 66 × 1
x = 66/12
x = 5.5 feet.
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An iPhone costs £799 in London, €850 in Paris and $970 in New York.
Using £1 = €1.17 and £1 = $1.42, state the lowest price of the iPhone in £.
Give your answer to 2 dp.
please answer for heart, comment, 5 star rating, and brainliest
Answer:
£683.10 in New York.
Step-by-step explanation:
Given the following data;
iPhone costs in London = £799
iPhone costs in Paris = €850
iPhone costs in New York = $970
£1 = €1.17 and £1 = $1.42
First of all, to find the cheapest (lowest) price for the three phones we would have to convert the prices to Pounds (£).
a. iPhone costs in London = £799
b. iPhone costs in Paris = €850
To find the price in Pounds (£);
£1 = €1.17
iPhone costs in Paris = €850/€1.17
iPhone costs in Paris = £726.50
c. iPhone costs in New York = $970
To find the price in Pounds (£);
£1 = $1.42
iPhone costs in New York = $970/$1.42
iPhone costs in New York = £683.10
Therefore, the lowest price for the iPhone is £683.10
A path 5m wide is to be built along the border and inside a square garden of side 90m. Find the cost of cementing the path at the rate of Rs.10 per meter square.
Answer:
Total cost of cementing the path = Rs. 17,000.
Step-by-step explanation:
Let the square garden be ABCD
Let the region inside the garden (ABCD) be WXYZ.
Given the following data;
Length of sides of ABCD = 90m
Width of path = 5m
Cost = Rs. 10 per m²
Area of ABCD = 90 * 90
Area of ABCD = 8100m²
To find the area of WXYZ;
WX = WZ = 90 - (5 + 5)
WX = WZ = 90 - 10
WX = WZ = 80m
Area of WXYZ = WX * WZ
Substituting into the equation, we have;
Area of WXYZ = 80 * 80
Area of WXYZ = 6400 m²
Area of path = Area of ABCD - Area of WXYZ
Area of path = 8100 - 6400
Area of path = 1700 m²
Total cost of cementing the path = Area of path * cost
Total cost of cementing the path = 1700 * 10
Total cost of cementing the path = Rs. 17,000
What is the value of the digit 9 in 71.92
Answer:
.90
Step-by-step explanation:
?
A restaurant chef made 4 1/2 pints of mushroom soup Each bowl of soup holds 1/2 of pint. How many bowls of soup will.the chef be able to fill?
Answer:
4 2/4
Step-by-step explanation:
4 1/2 + 1/2 = 4 2/4
i just added em up
Answer:
Step-by-step explanation: 4 1/2 pints / 1/2 pint/ bowl = (9/2) / (1/2) = 9/2 pints x 2 bowl/pint = 18/2 bowls = 9 bowls. QED.