Answers
Answer:
54
Step-by-step explanation:
54
Related Questions
A high school track team's long jump record is 22 ft 6 3/4in. This year, Arthur's best long jump is 21 ft 10 1/2in. If long jumps are measured to the nearest quarter inch, how much farther must
Arthur jump to break the record?
To beat the school long jump record,
Arthur must jump an additional ___inches.
(Type a whole number, fraction, or mixed number.)
Answers
Arthur must jump an additional 8.25 inches so as to break the record.
1 foot = 12 inches
Long jump record = 22 ft 6 3/4in = 22 ft 6.75 in = (22ft * 12 in per ft) + 6.75 in
Long jump record = 270.75 in
Arthur's long jump record = 21 ft 10 1/2in = 21 ft 10.5 in = (21ft * 12 in per ft) + 10.5 in
Arthur's long jump record = 262.5 ft.
To break the record, the distance needed to be jump by Arthur = 270.75 in - 262.5 ft. = 8.25 in
Arthur must jump an additional 8.25 inches so as to break the record.
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Answers
A couple goes to a restaurant for dinner. Below is a probability table in which X is the
amount (dollars) on the meal spent by the husband and Y is the amount spent by the
wife.
X = 15
X = 20
X = 25
Y = 15
0.20
0.15
0.05
Y = 20
0.15
0.15
0.10
Y = 25
0.05
0.10
0.05
a. (7 pts) What is the probability that this couple spends 45 dollars or more?
b. (7 pts) Suppose that the restaurant is currently running a promotion with a
10% discount if the total amount spent by a table is 45 dollars or more.
What is expected total amount the couple actually has to pay?
Answers
Using the probability table, it is found that:
a) There is a 0.25 = 25% probability that this couple spends 45 dollars or more.
b) The expected amount the couple actually has to pay is $36.85.
From the table, the probabilities of each total cost are:
[tex]P(X = 30) = P(X = 15|Y = 15) = 0.2[/tex]
[tex]P(X = 35) = P(X = 15|Y = 20) + P(X = 20|Y = 15) = 0.15 + 0.15 = 0.3[/tex]
[tex]P(X = 40) = P(X = 15|Y = 25) + P(X = 20|Y = 20) + P(X = 25|Y = 15) = 0.05 + 0.15 + 0.05 = 0.25[/tex]
[tex]P(X = 45) = P(X = 20|Y = 25) + P(X = 25|Y = 20) = 0.1 + 0.1 = 0.2[/tex]
[tex]P(X = 50) = P(X = 25|Y = 25) = 0.05[/tex]
Item a:
This probability is:
[tex]P(X \geq 45) = P(X = 45) + P(X = 50) = 0.2 + 0.05 = 0.25[/tex]
There is a 0.25 = 25% probability that this couple spends 45 dollars or more.
Item b:
The expected value is the sum of each outcome multiplied by it's respective probability.
For X = 45 and X = 50, the value is multiplied by 0.9, due to the discount.Hence:
[tex]E(X) = 0.2(30) + 0.3(35) + 0.25(40) + 0.9[0.2(45) + 0.05(50)] = 36.85[/tex]
The expected amount the couple actually has to pay is $36.85.
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20.
Find a quadratic function to model the values in the table.
A. y = -2x^2 - 3x + 3
B. y = 3x^2 + 3x - 3
C. y = -3x^2 - 3x - 3
D. y = 2x^2 + 3x + 2
Answers
Answer:
B. y = 3x^2 + 3x - 3
Step-by-step explanation:
Find the function rule.
y = 3 x ^2 + 3 x − 3
\table[[x,y],[-1,-3],[0,-3],[3,33]]
The quadratic function to model the values in the table is,
⇒ y = 3x² + 3x - 3
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The values of x and y in the table are,
⇒ x = - 1, 0, 3
⇒ y = - 3, - 3, 33
Now, We know that;
The standard form of the quadratic equation is,
⇒ y = ax² + bx + c
Put x = - 1, y = - 3;
⇒ - 3 = a (- 1)² + b (- 1) + c
⇒ - 3 = a - b + c .. (i)
Put x = 0, y = - 3;
⇒ - 3 = a (0)² + b (0) + c
⇒ - 3 = c
Put x = 3, y = 33;
⇒ 33 = a (3)² + b (3) + c
⇒ 33 = 9a + 3b - 3
⇒ 36 = 9a + 3b
⇒ 36/3 = 3a + b
⇒ 3a + b = 12 .. (ii)
From (i);
⇒ - 3 = a - b + c
⇒ - 3 = a - b - 3
⇒ a - b = 0 .. (iii)
Solve for (i) and (iii), we get;
⇒ a = 3, b = 3
Hence, The quadratic function to model the values in the table is,
⇒ y = ax² + bx + c
⇒ y = 3x² + 3x - 3
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A sum of money was shared between Joan and Ngozi in the ratio 5:3. If Joan share was 40.00naira how much was the original sum of money
Answers
Answer:
64
Step-by-step explanation:
J : N
5 : 3
40 : x
40×3=120
120÷5=24
24+40=64
to confirm if it's correct:
5:3
5+3=8
(5/8)×64=24
(3/8)×64=40
therefore, it's 64
a
How many seconds are in a day? Use the conversion equivalency 24 hours = 1 day, 60 minutes = 1 hour, 60 seconds
= 1 minute
8640 seconds in one day
b. 1440 seconds in one day
1200 seconds in one day
d. 86,400 seconds in one day
C
Please select the best answer from the choices provided
Ο Α
B
OD
Answers
Answer:
D)86400 seconds
Step-by-step explanation:
In 1 hour there are 60 minutes and in 1 minute there are 60 seconds.
Brainliest?
Ahmad bought 11 pounds of sugar for $6.
How many dollars did he pay per pound of sugar?
Answers
Can someone please help me
Answers
Answer:
Q14. Percentage decrease in price of TV
= (1100-1034)r1100×100%
= 66r1100×100%
= 6%
Q15. 450r9000 × 100% = 5% discount
Answer:
Q14 - 6% decrease
Q15 - 5% decrease
Step-by-step explanation:
how to get your answers;
subtract starting value with final value
divide the sum with the starting value
multiply by 100 and round if needed
hope that helps. ♥️
9th grade math pls help
g(x)=2f(1/2x)
Answers
Answer:
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
g*(x)-(2*f*(1/2*x))=0
f=g
g=f
x=0/-f+g.
Tell me if you want step by step!
Hope this helped! :)
(I just solved for the variables I don’t know if you want be me to solve for something else.)
Are the following two logical statements equivalent? p ∨ q q ∨ p
Answers
Answer:
Are the following two logical statements equivalent?
p
∨
q
q
∨
p
If z=15, what would the expression z2 – 2z + 15 be equal to?
A 205
B 210
C 215
D
220
Answers
Simplify this problem?
Answers
Answer:
-22
Step-by-step explanation:
mark this brainliest and rate 5 stars if it helped :)
pls like it!
Janice bought 4 oranges for $3.40. what is the unit price.
Answers
will be 0.85
.85 per unit
Check answer
.85 unit x 4 = 3.40
g(x) = 2x
f(x) = -2x + 2x
Find g(x) + f(x)
Answers
Step-by-step explanation:
f(x) = 0
-2x + 2x is always 0.
so, g(x) + f(x) = g(x) + 0 = g(x) = 2x.
long proof :
g(x) + f(x) = 2x + -2x + 2x = 2x
In what time will $1000 amount to $1331 at 10% per annum, compounded annually?
Answers
Step by step explanation:
3 Years
Step-by-step explanation:Compound interest is a multiplier that affects the new value each time.
If the compound interest is 10% per annum, the multiplier each year is 1.1.
Year 1: $1000 * 1.1 = $1100
Year 2: $1100* 1.1 = $1210
Year 3: $1210* 1.1 = $1331
This means that it will take 3 years for $1000 to amount to $1331 at 10% per annum.
Alternatively, you can use a logarithm. The calculation can be written as:
1000 * [tex]1.1^n[/tex] = 1331, where n is the number of years.
Rearranged, this gives [tex]1.1^n[/tex] = 1331/1000 or [tex]1.1^n[/tex] = 1.331.
A logarithm can work out the value of n, and is written in the form log1.1(1.331), which gives a value of 3.
9÷108 please tell me
Answers
Answer:
108 ÷ 9 = 12
Step-by-step explanation:
Answer:
0.083333333333333
Step-by-step explanation:
Multiply or divide. write fractions in simplest form.
0.15 x (-0.6)
please help with this problem. i will mark you brainliest !
Answers
Step-by-step explanation:
Multiply
0.15
by
−
0.6
.
−
0.09
0.15x(-0.6)=-0.09
can someone write −4 and (6, 4) in standard form. -4 is the slope. I need it as one answer.
Answers
Answer:
y = -4x + 28
Step-by-step explanation:
yeah-ya........ right?
Step-by-step explanation:
what is the standard form for your teacher ?
because that is absolutely not agreed on worldwide (and even between teacher and teacher in the same region).
there are 2 main forms :
the general slope intercept form is
y = ax + b
a is the slope. and is here -4.
b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).
we get b by using the point coordinates in the half finished equation :
4 = -4×6 + b = -24 + b
28 = b
so, the equation is
y = -4x + 28
the general slope point form is
y - y1 = a(x - x1)
where a (often called m) is again the slope, and x1, y1 are the coordinates of a given point.
so, we have
y - 4 = -4(x - 6)
See attached question
Answers
Answer:
Its 34 times 87
Step-by-step explanation:
34 times 87 is 2958
please help as fast as you can
Answers
Answer:
x= 32 i think
CD= 51
Step-by-step explanation:
Answer:
9x-15=7x-1. => 2x=14 x=7
CD= 7×7-1=48
Coach Eddie ordered baseball gloves 30% of them were left handed. If 24 gloves were left handed, how many total gloves are there
Answers
Answer:
sorry I don't understand
Whic
a sqy
While making pecan pie, Monica was
reading about pecan trees. The average
width of a pecan tree trunk is 18 decimeters.
How many centimeters is this? (1 decimeter
10 centimeters)
-
(
Fraction Fun Friday
fun aith fr
Answers
Answer: 180 cm
Step-by-step explanation: 1 decimeter = 10 centimeter
18 dm = 10 * 18 cm
18 dm = 180 cm
Would appreciate brainly <3
5x + 3y = 4; solve for x.
Answers
Answer:
x= - 3/5y +4/5
Step-by-step explanation:
isolate x:
5x+ 3y= 4
5x= -3y+ 4
x= -3/5y +4/5
solve the following stystem -4x + 2y = 0 and x + y = -1
Answers
PLEASE HURRY WILL GIVE BRANLESIT
Function 1 is represented by the equation y = 6x + 25
Function 2 is represented by the table.
x y
5 31
10 41
15 51
20 61
Which statement about the two functions is true?
The rate of change for Function 2 is 5 times the rate of change for Function 1.
The rate of change for Function 2 is three times the rate of change for Function 1.
The rate of change for Function 2 is one third the rate of change for Function 1.
The rate of change for Function 2 is the same as the rate of change for Function 1.
Answers
Answer:
The rate of change for Function 2 is one third the rate of change for Function 1.
Please mark brainliest if possible :)
Elizabeth recently bought a new bike, and she has started biking to and from work. The
round-trip distance is 9 kilometers.
Write an equation that shows the relationship between the number of round trips, x, and
the total number of kilometers Elizabeth has biked, y.
Answers
Answer:
the answer is 9x
Step-by-step explanation:
y=9x is the relationship between the number of round trips, x, and the total number of kilometers Elizabeth has biked, y.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that,
Elizabeth recently bought a new bike, and she has started biking to and from work.
The round-trip distance is 9 kilometers.
We need to find an equation that shows the relationship between the number of round trips, x, and the total number of kilometers Elizabeth has biked, y.
y=9x
Hence y=9x is the relationship between the number of round trips, x, and the total number of kilometers Elizabeth has biked, y.
To learn more on Equation:
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A special cereal mixture contains rice and wheat in the ratio of 2:3. If a bag of the mixture contains 3 pounds of rice, how much wheat does it contain?
Answers
HELP ME
NO BOTS
BRAINLIST TO FIRST CoRrEcT ANSWER
Answers
Answer:
The answer is A.
Step-by-step explanation:
5 - 1 = 4
10 - 6 = 4
15 - 11 = 4
20 - 16 = 4
25 - 21 = 4
Answer:
The correct answer should be B
Step-by-step explanation:
B is also number 5
A furniture company charges ANSWER FAST ITS DUE RN
0.45 per pound
for shipping
Write an equation for the cost(y) of shipping
x pounds.
Use it to determine the cost of shipping a
12-pound chair.
Answers
Answer:
y = 0.45 × x
y = 0.45 × 12
y = 5.4
Step-by-step explanation:
The chair costs $5 and 40 cents
June was thinking of a number. June half's the number and gets an answer of 53.7 form an equation with x from the information
Answers
Answer:
x/2=53.7
Step-by-step explanation:
x/2=53.7
x=107.4