Answer:
(a) Earnhardt (40%), Gordon (29%), Waltrip (18%), and Petty (13%)
(b) 144, work is below
(c) No
Step-by-step explanation:
(b)
convert 40% to a decimal by dividing by 100 = 0.4
360 x 0.4 = 144 people voted for Earnhardt
(c) converting Petty's percentage to a decimal, we get 0.13. 360 x 0.13 = 46.8, or 47 people, not 65.
Waltrip's percentage, 0.18 x 360 = 64.8, or 65 people.
When a biased coin is thrown 4 times, the probability of getting 4 heads is
16
81
Work out the probability of getting 4 tails when the coin is thrown 4 times.
Answer:
1/81
Step-by-step explanation:
P(H,H,H,H)=16/81
fourth root of 16/81= 2/3
so the probability of getting tails would be 1/3
probability of getting 4 tails would be:
P(T,T,T,T)=(1/3)^4
=1/81
The probability of getting 4 tails when the coin is thrown 4 times is 1/81
How to determine the probability?We have:
P(Head 4 times) = 16/81
This means that:
P(Head)^4 = 16/81
Take the 4th root of both sides
P(head) = 2/3
The probability of a tail is calculated as:
P(tail) = 1 - P(Head)
This gives
P(tail) = 1 - 2/3
P(tail) = 1/3
When thrown 4 times, we have:
P(tail)^4 = (1/3)^4
P(tail) = 1/81
Hence, the probability of getting 4 tails when the coin is thrown 4 times is 1/81
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The area has to be in metres^2
Answer:
0.6m²
Step-by-step explanation:
Length: 1.2 m
Width: 50cm=0.5m
Area=length×widtg
How many three-digit numbers are divisible by 2,3 or 5?
Answer:
764 numbers
Step-by-step explanation:
Number of multiples of 2: is 2x50–2x499 which is 450 numbers.
Number of multiples of 3: 3x34–3x333 is 300 numbers
Multiples of 5: 5x20–5x199 is 180 numbers
Multiples of 2x3 or 6: 6x17–6x62 or 46 numbers.
Multiples of 3x5 or 15: 15x7–15x66 or 60
numbers.
Multiples of 2x5 or 10: 10x10–10x99 or 90 numbers.
Multiples of 2x3x5 or 30: 30x4–30x33 or 30 numbers.
450+300+180–46–60–90+30=
764 numbers.
Charles has 24 marbles. He has 6 more yellow marbles than blue marbles.
Which equation represents this situation?
Answer:
y = x + (6+x)
Step-by-step explanation:
Y represents the total number of marbles.
X represents number of blue marbles.
6+X represents number of yellow marbles.
To Solve:
24 = 2x + 6
Subtract 6 from both sides: 18 = 2x
Divide boths sides by 2: 9 = x
Now fill in the values: Blue Marbles = 9, Yellow marbles = 15
what is the highest form of chinese painting?
I think Landscape painting
Landscape painting was regarded as the highest form of Chinese painting, and generally still is. The time from the Five Dynasties period to the Northern Song period (907–1127) is known as the "Great age of Chinese landscape".
Landscape painting was regarded as the highest form of Chinese painting, and generally still is. The time from the Five Dynasties period to the Northern Song period (907–1127) is known as the "Great age of Chinese landscape".
what is the simplified form of this equation f(x)=
x2 + 4x + 10
Answer:
6x + 10
Step-by-step explanation:
2+4=6
and 10 doesn't have an x next to it so it doesn't count
For A I somehow got 41.05 but its 2.95cm can someone show me the working and what I did wrong?
Answer:
Step-by-step explanation:
a). tan(75°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{11}{k}[/tex]
k = [tex]\frac{11}{\text{tan}(75)}[/tex]
k = 2.947
k = 2.95 cm
b). cos(52°) = [tex]\frac{16}{s}[/tex]
s = [tex]\frac{16}{\text{cos}(52)}[/tex]
s = 25.988
s ≈ 25.99 cm
c). sin(5°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{16.1}{q}[/tex]
q = [tex]\frac{16.1}{\text{sin}(5)}[/tex]
q = 184.727
q ≈ 184.73 cm
what is 4 and 1/2 in decimal form
Answer:
4.50
Step-by-step explanation:
4 = Whole number. 1 = Numerator. 2 = Denominator. To get 4 1/2 in decimal form, we basically convert the mixed number to a fraction and then we divide the numerator of the fraction by the denominator of the fraction.
The decimal form of 4 and 1/2 is 4.5
DecimalDecimal is a fraction written in a unique form. The dot notation is used to represent the fraction form.
Therefore, 4 and 1/2 in decimal form is represented as follows;
Mixed fraction = 4 1 / 2
Improper fraction = 9 / 2
decimal form of 1 / 2 = 0.5
Therefore, 4 1 / 2 = 4.5
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Problem 3: The elevator at a business center has a weight limit of 1800 pounds. Assume the
average person weighs 160 pounds and has 3 pounds of items with them. What is the greatest
number of people that can ride the elevator at one time?
Answer
10
11
12
13
Weight limit of an elevator = 1800 pounds
Average weight of each person who comes in the elevator = 160 pounds
Quantity of items with them = 3 pounds
Let the number of people who can ride the elevator at one time be x.
Which means :
[tex] =\tt 160x + 3 = 1800[/tex]
[tex] = \tt160x = 1800 - 3[/tex]
[tex] = \tt160x = 1797[/tex]
[tex] =\tt x = \frac{1797}{160} [/tex]
[tex] =\tt x = 11[/tex]
Thus, number of people who can enter the elevator is 11.
▪︎Therefore, the correct option is (b) 11.
If cos x = -12/13
And csx < 0
Find cot (2x)
Answer:
csc
x
−
sin
x
=
1
sin
x
−
sin
x
=
1
−
sin
2
x
sin
x
=
cos
2
x
sin
x
=
cos
x
⋅
cos
x
sin
x
=
cos
x
cot
x
Step-by-step explanation:
Can someone show the work on this problem
Answer:
4.69 in
Step-by-step explanation:
By sine rule:
[tex] \frac{ \sin \: 23 \degree}{a} = \frac{ \sin \: 90 \degree}{12} \\ \\ \frac{ \sin \: 23 \degree}{a} = \frac{1}{12} \\ \\ a = 12 \: \sin 23 \degree \\ \\ a = 12 \times 0.3907311285 \\ \\ a = 4.68877354 \\ \\ a \approx 4.69\: in[/tex]
Jasmine buys 3 T-Shirts and 3 Hats for $11.25. The next day, he buys 4 T-Shirts and 2 Hats for $10. How much does each T-Shirt and each Hat cost? Write a system of equations that can be used to solve the problem. Then solve the problem.
Answer: Each shirt costs $1.25, and each hat costs $2.5.
Step-by-step explanation:
Let x= Cost per T-shirt, y = Cost per Hat.
As per given,
3x+3y=11.25 (i)
4x+2y=10 (ii)
Multiply 4 to equation (i)
12x+12y=45 (iii)
12x+6y= 30 (iv)
Eliminate (iv) from (iii), we get
6y= 15
⇒ y = 2.5
Put value of y in (i)
3x+3(2.5)=11.25
⇒3x+7.5=11.25
⇒3x= 3.75
⇒x= 1.25
Hence, each shirt costs $1.25, and each hat costs $2.5.
!!!!100 points and brainlist!!!!
Angie is working on solving the exponential equation 23^x=6,; however she is not quite sure where to start. Using complete sentences, describe to Angie how to solve this equation.
And please don’t copy paste this and call it an answer
When you have problems like this you simply ask yourself what number do I have to multiply by 23 to get 6? This is how you might read this mathematical expression. So how do we solve the problem?
Well if x is the number that we have to multiply by 23 to get 6 that means that if we divide 6, 26 times we get x. So, x would be 6/23.
0.26
you would divide 23 on both sides
hope this helps you
..........
Simplify the expression -3/5( -8 + 5/9x - 3)
Answer:
the ans is in the picture with the steps hope it helps
(can i plz have brainlist it will make my day :D hehe)
Step-by-step explanation:
Derek has $4.85 in quarters, Dimes, and nickels he has twice as many dimes and six more nickels then dimes.
which equation where is the number of dimes, can be used to represent the situation
O A 25 (4) +100) +563 – 6) = 485
Os 25 (1) + 106) + 56+ 6) = 485
OC 25 (22) + 10(x) + 562--485
OD 25 (2x) + 100)+5+)485
Answer:
Step-by-step explanation:
b
A certain coin is a circle with diameter 42 mm. What is the exact area of each side of the coin?
The exact area of each side of the coin is mm.
(Simplify your answer. Type an exact answer in terms of .)
The area of a circle is r^2 x PI
r is half the diameter = 21mm
Area = 21^2 x PI
area = 441pi
Answer:
A≈1.39×10-3m²
Step-by-step explanation:
what is the measure of the angle
PLEASE HELP
I-ready
Answer:
your awnser should be 42°
Jam is made from sugar and strawberries in the ratio of 3:5 A jar contains 150g of sugar how many grams of strawberries are in the jar
Answer:250
Step-by-step explanation:
150/3 =50
50x5=250
The quantity of strawberries in jar is 250 gram.
What is the ratio?Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categorise ratios. Part to whole ratio is one, and part to part ratio is the other. The part-to-part ratio shows the relationship between two separate entities or groupings.
Given the Jam is made from sugar and strawberries in a ratio of 3:5,
ratio of sugar to strawberries = 3/5
sugar in jam = 150 gram
let quantity of strawberries be x gram
the ratio of sugar to strawberries = 150/x
since both ratios are in proportions so
3/5 = 150/x
x = 150 * 5/3
x = 250 gram
Hence the quantity of strawberries is 250 grams.
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The price of a certain kind of computer is surely decreasing. A
recent survey shows that the price of Acer 5950G is calculated
by the function P(t) = 823/4- 0.62t, where P is the price
(measured by dollars) and t is the time (measured by years). It
will take years that the price decreases to $1000. Round
your answer to one decimal point.
which of the following is a linear function?
a. y=ײ+4
b. y=/￣x-2
c. y=1/2(x-4)
d. y=2/x+3
What is an equation of the line that passes through the points (4, -5) and (2, 0)?
Answer:
y = - [tex]\frac{5}{2}[/tex] x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (4, - 5) and (x₂, y₂ ) = (2, 0)
m = [tex]\frac{0+5}{2-4}[/tex] = [tex]\frac{5}{-2}[/tex] = - [tex]\frac{5}{2}[/tex] , then
y = - [tex]\frac{5}{2}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 0 )
0 = - 5 + c ⇒ c = 0 + 5 = 5
y = - [tex]\frac{5}{2}[/tex] x + 5 ← equation of line
15. Find the length of x. Round to 1 decimal place.
In a coin jar the ratio of dimes to pennies is 3 to 8. The number of pennies in the jar is 32. Answer the following questions based on this ratio. (Show ALL work.) *a) Why can’t the number of dimes be 10? Justify your answer by setting up & solving a proportion.
this is Solving Proportions
Answer:
Step-by-step explanation:
3 is to 8 as x is to 32
3/8=x/32
x=12
The number of dimes cannot be 10 because the number of dimes in the jar will be equal to 12.
What is the ratio?The ratio notion is used in mathematics when evaluating two or more numbers. It works as a comparison tool to demonstrate how big or small a particular number is. A ratio divides two quantities to compare them.
As per the data in the question,
The ratio of Dimes to pennies: 3 : 8
Number of Pennies in jar = 32
Assume that the number of Dimes in the jar is x.
So, the number of dimes will be,
x = (32 × 3)/8
x = 12 Dimes.
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Mr deal earns a commission on each airfare he books. At the end of the day, he had book $725 worth of airfare and earned 43.50. What is Mr. Deals commission rate?
Answer:
6%
Step-by-step explanation:
43.50 / 725 x 100 = 6%
Solve for x. Round to the nearest tenth.
Answer:
Step-by-step explanation:
You are given adjacent and you want opposite. You can use the relationship of tangent. SOHCAHTOA
tan(51) = x/15
x = 18.5
What type of function is f(x)?
f(x) = -2(5)*
28 deliveries in 4 hours how many deliveries are served or hour
Answer:
7
Step-by-step explanation:
28 divided by 4 is 7
Suppose that you have $6,000 to invest. Which investment yields the greater return over a 10 year period: 7.44% compounded daily or 7.5% compounded quarterly? Find the total amount of the investment after 10 years if $6,000 is invested at 7.44% compounded daily. $ (Round to the nearest cent as needed.) help me please im failing
help me god please it was due yesterday
Answer:
area is Pi x radius squared
Step-by-step explanation:
radius is half the diameter which is the line from one side of the circles to the opposite side
Given right triangle
A
B
C
ABC with altitude
B
D
‾
BD
drawn to hypotenuse
A
C
AC. If
A
D
=
3
AD=3 and
A
C
=
13
,
AC=13, what is the length of
A
B
‾
AB
in simplest radical form? (Note: the figure is not drawn to scale.)