Answer:
Every input has exactly one output
Step-by-step explanation:
The easiest definition of function is
If R is relation between (x,y) then
f(x)=yIt simply means that every domain has an unique range
Zucchini weights are approximately normally distributed with mean 08 pound and standard deviation 0.25 pound. Which of the following shaded regions best represents the probability that a
randomly selected zucchini will weigh between 0 55 pound and 13 pounds?
Answer:
The correct option is A
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 0.8 \ pounds[/tex]
The standard deviation is [tex]\sigma = 0.25 \ pounds[/tex]
Generally the the probability that a randomly selected zucchini will weigh between 0 55 pound and 13 pounds is mathematically represented as
[tex]P(0.55 < X < 1.3) = P(\frac{0.55 - 0.8}{ 0.25} < \frac{X - \mu}{\sigma } < \frac{1.3 - 0.8}{0.25})[/tex]
=> [tex]P(0.55 < X < 1.3) = P( -1 < Z < 2 )[/tex]
So looking the option of normal curves given in the question we see that it is option A that matches our interval
help me pls
Question 4 Part B (2 points): In part A you factored f(x) = 9m2 + 3m - 2. What are the x intercepts of this function? SELECT ALL THAT APPLY.
A.
m = -1/3
B.
m = 1/3
C.
m = -2/3
D.
m = 2/3
E.
m = 3
F.
m = -3
G.
m = 6
H.
m = -6
x intercepts means the roots of the function .Let's find out
[tex]\\ \rm\Rrightarrow 9m^2+3m-2=0[/tex]
[tex]\\ \rm\Rrightarrow 9m^2-3m+6m-2=0[/tex]
[tex]\\ \rm\Rrightarrow 3m(3m-1)-2(3m-1)=0[/tex]
[tex]\\ \rm\Rrightarrow (3m-2)(3m-1)=0[/tex]
m=2/3m=1/3The x-intercepts are -(2/3) and (1/3).
The correct options are (B) and (C)
What is a Quadratic Equation?An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax² + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term. The fact that the coefficient of x² is a non-zero term (a 0) is a necessary need for an equation to be a quadratic equation.
As per the given data:
f(x) = 9m² + 3m - 2
To find the x-intercept of this function:
The roots of f(x) will be the x-intercepts of the given function.
f(x) = 9m² + 3m - 2
9m² + 3m - 2 = 0
9m² - 3m + 6m - 2 = 0
3m(3m - 1) + 2(3m - 1) = 0
(3m + 2)(3m - 1) = 0
The roots are m = -(2/3) and m = (1/3)
Hence, the x-intercepts are -(2/3) and (1/3).
The correct options are (B) and (C)
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Area of a circle
You might need: Calculator
What is the area of the following circle?
Either enter an exact answer in terms of " or use 3.14 for # and enter your answer as a decimal.
d=14
units?
Answer:
153.86 units^2
Step-by-step explanation:
the area of a circle = pi * r^2
To find r, divide the diameter in half.
14/2 = 7
Now, area = pi * 7^2
= pi * 49
= 153.86
hope this helps!
Answer:
153.94 square units
Step-by-step explanation:
d=14 units
r=d/2
=14/2
=7 units
Area of a circle=math.pi x r^2
=3.14 x (7)^2
Supposed i recieved $10 dollars rom my grandmother for my birthday. And I spent $4 on snacks. using addition how would I write an equation to represent this situation?
. Suppose you received $ from your grandmother for your birthday. You spent $ on snacks. Using
addition, how would you write an equation to represent this situation?
+ (−) =
b. How would you model your equation on a number line to show your answer?
Real-world situations can be modeled with equations and represented on a real number line. In this exercise, positive
ten represents the $10 given as a birthday gift because it is a gain. Negative four represents the $4 spent on snacks
because it is a loss. Gaining $10 and then taking away $4 leaves you with $6.
1/2 ÷ 1/3 simplest form?
Answer:
3/2 or 1.5
Step-by-step explanation:
Bryan works as a florist. The number of bouquets he makes is given by the equation , where b is the number of bouquets and h is the number of hours. How many hours would it take him to make 6 bouquets?
Answer:
B -8
Step-by-step explanation:
Answer:
The answer is B. 8
Step-by-step explanation:
Hope this helps :)
Odds of an event occurring given probability 1/5
Answer:
1/4
Step-by-step explanation:
Probability = successes / all events
Odds = successes / failures
If the probability is 1/5, then there's 1 success for every 4 failures.
So the odds are 1/4.
Navid paid $50 for 10 cardio dance workout classes. He's trying
to set up an equation to help him find the cost of each class.
What should Navid put in the blank of the following equation?
c= $50 = ?
I need help
Answer: The answer is 5$
Step-by-step explanation:
50/10=5
Answer:
yes because 50 is 10 now and also yes
Can you answer this one please
Step-by-step explanation:
2 inches = 3 feet
x inches = 12 feet
[tex] \bf \frac{2}{3} = \frac{x}{12} \\ \\ \bf 3 \cdot x = 2 \cdot 12 \\ \\ \bf 3 \cdot x = 24 \\ \\ \bf x = \frac{24}{3} \Rightarrow \green{ \boxed{ \bf x = 8} } [/tex]
Answer:
[tex] \bf \boxed {x=8} [/tex]
Step py step explanation:
2 inces ........ 3 feet
x inces ......... 12 feet
⇒ x = 12 • 2 /3
x = 24/3
x = 8
______
Solve the equation 1/2 - 1/6= 4/3x^2
Answer:
x=2
Step-by-step explanation:
1/2‒1/6=4/3x^2
3/6‒1/6=4/3x^2
2/6=4/3x^2
1/3=4/3x^2
1(3x^2)=4(3)
3x^2=12
x^2=4
x=√4
x=√2*2
x=2
Hector purchased a brand new 2019 BMW 760.
The cost of the vehicle was $97,899.99. There is a
25% discount for cash customers, Hector paid
cash. The sales tax rate for the vehicle was 3.75%.
What was the total price of the purchases
(SHOW ALL WORK)
(PLEASE HELP)
Answer:
Step 1: Calculate percentage discount
=> $97,899.99 × 25/100
=> 97,899.99/1 × 25/100
{multiply the numerator by the numerator and the denominators by the denominators}
=> 2,447,499.75/100
divide 24,474.9975 by 100
=> 24,474.9975
=> 24,474.9975
{Substract 24,474.9975 from 97,899.99.}
=> 97,899.99 - .24,474.9975
=> 73,424.9925
Step 2: Calculate sales tax rate
Sales tax rate = price × rate/100
=> 73,424.9925 × 3.75/100
=> 275,343.7/100
=> 2,753.437
Add to 73,424.9925
=> 73,424.9925 + 2,753.437
=> 76,178.4295
=> 76,178.4 { Rounded to 1 dp)
Therefore, the total price of the purchases is 76,178.4295
a cyclist travels at 10 km/h for 3.5 hours. Calculate the distance traveled by the cyclist
d=vt
d=10 km/h x 3.5 h
d = 35 km
A bag contains 120 marbles some are red and the rest are black there are 19 red marbles for every black marble how many red marbles are in the bag
Answer:
6 black marbles
Step-by-step explanation:
19+1=20
120/20=6
6×19=114
120-114=6
Debi walks laps around the mall for exercise during the winter months. The table represents the number of steps recorded on her pedometer as she walks laps around the mall one day.
A table showing Debi's Walk around the Mall with two columns and six rows. The first column, Laps, has the entries, 0, 1, 2, 3, 4. The second column, Steps, has the entries, 1,875; 4,300; 6,725; 9,150; 11,575.
Which statement is true about the graph of the line representing Debi’s data?
Debi walks 1,875 steps per lap around the mall.
One lap around the mall is equal to 2,425 steps.
One lap around the mall is equal to 4,300 steps.
Debi walks 6,175 steps per lap around the mall.
Answer:
second option. One lap around the mall is equal to about 2,425 steps
TheThe statement that is true about the graph of the line representing Debi’s data is: One lap around the mall is equal to 2,425 steps.
Correct statement about the graph of the lineGiven:
With the 0 lap she has 1,875 steps
With 1 lap she has 4,300 steps
Hence:
One laps around the mall= 4,300 steps-1,875 steps
One laps around the mall=2,425 steps
Therefore the correct option is B.
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HELPPP 60 pts!
Kareem rented a truck for one day. There was a base fee of $19.99 , and there was an additional charge of 83 cents for each mile driven. Kareem had to pay $135.36 when he returned the truck. For how many miles did he drive the truck?
139 miles
explanation:
$1 → 100 cents
Here the base fee is fixed.
make equation:
$19.99 + 0.83m ↣ $135.36
0.83m ↣ $135.36 - $19.99
0.83m ↣ $115.37
m ↣ 139
Therefore she has ridden 139 miles.
Helllllllllllllllllllllllllllllppppppp
Answer:
D
Step-by-step explanation:
Rotates 90 Degrees counter-clockwise then translates 3 left and 3 down.
Answer:
D
Step-by-step explanation:
Rotates 90 degrees in a counter clockwise motion, then it translates three to the left and then three down.
H lo help math math math please ASAP
Answer:
5x & -1
Step-by-step explanation:
2x+3=5x
-x = -1x
maybe...
The area of this trapezoid is 30.6 ft
What is the height of the trapezoid?
[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ A=30.6\\ a=3.2\\ b = 7 \end{cases}\implies 30.6=\cfrac{h(3.2+7)}{2} \\\\\\ 61.2=h(3.2+7)\implies 61.2=10.2h\implies \cfrac{61.2}{10.2}=h\implies 6=h[/tex]
Select the correct answer. The supply and demand curves for a line of purses are shown. Approximately where is the equilibrium point? у. 500 supply 400 +300 Quantity (purses) -200 100 demand 100 200 300 400 500 600 700 800 900 1,000 Price (dollars) O A. (50,320) B. (200,105) C. (325,185) D. (560,360)
Answer:
c
Step-by-step explanation:
11. The smaller the
absolute value of a
the
negative number, the
number is.
A larger
B smaller
C farther from zero
Answer:
B. Smaller
Step-by-step explanation:
This is because absolute value doesn't matter about negative or positive
PLEASE HELP! ASAP!
Find the hypotenuse (X) of the right triangle.
ROUND THE ANSWER TO THE NEAREST HUNDRED.
What is the gradient of the graph shown?
Answer:
-1
Step-by-step explanation:
Gradient is another word for slope, and slope can be defined as rise/run.
From the point (0,0) to (1,-1), it moved one unit down and one unit to the right. The slope for this line can be represented as -1/1, which is equal to -1.
Therefore, the gradient of the graph shown is -1.
120 eggs from 20 chicken
Answer:
10 eggs per chicken
Step-by-step explanation:
if you divide you get 10 eggs per
7. A student is paid K50 for each day he works and fined K25 for each day he failst work. After 20 days, he is paid K700. For how many days has he worked?
Answer:
14
Step-by-step explanation:
The student is paid K50 each day so after 20 days they should have K1000 but he is paid K700 which means they missed some days of work.
So we divide K700 by K50 which then gives us 14, therefore the student worked 14 days out of 20.
5. Which graph represents a function?
Answer:
bottom left, the one that looks like a v
Step-by-step explanation:
You can test if something is a function by looking to see if there is a place where an x has 2 ys. if there are 2 ys for an x it is not a function.
Answer:
bottom left
Step-by-step explanation:
Bottom right is not a function because you would get an infinite number of results. It does not exactly map one output of this function.
The top two graphs are incorrect because they have more than 1 output. You can do the Vertical Line test and see that the top two graphs do have more that one output.
In order for it to be a function it has to have one output.
write the decimals in two forms 5.5
Answer: 55% and 11 over 2
Step-by-step explanation:
55 is the percent form and 11 over 2 is a fraction form
btw your in collage and you van’t figure that out?
The graph of y= ax^2 + c contains the point (2,14). Which point lies on the graph of y=a(x-2)^2 + c?
Answer:
(4, 14)
Step-by-step explanation:
We are given;
Graph of: y = ax² + c
That it contains point (2, 14)
Now,we want to find which point lies on the graph: y = a(x - 2)² + c.
Now, symbol "a" means the value of horizontal shift because the constants are grouped with x.
If the value of "a" is greater than 0,then it means that the graph shifted to the left by "a" units while if the value of "a" is less than 0,it means the graph shifted to the right by "a" units.
Now, from the 2 graph equations given, and from the principle of graph shifts, we can say that the first graph has shift by 2 units to the right because "a" equals -2.
What this implies is that every point on the graph y = ax² + c shifts by 2 units right.
Thus, the points that lie on the graph y = a(x - 2)² + c are: (x + 2, y)
Thus, points are: (2 + 2, 14) = (4, 14)
I spent 3/4 of my money and then I spent 1/5 of what was left. What part of all my money did I spend? (10 points)
Answer: 80% or 4/5
Step-by-step explanation:
Look at this as a percentage:
3/4=75%
1/5=20%
Lets say you have 100$
75% of $100 leaves you with $25
20% of the remaining $25 gives you $20
$100-$20=80% or 4/5
Denise learned to sing a total of 10 pieces over the course of 10 weeks of voice lessons. After a short break, she learned 27 new pieces over the span of 27 weeks. How many vocal pieces does Denise learn per week?
1 a week
Step-by-step explanation:
in 37 weeks she learned 37(10 in 10 weeks, snd 27 in 27 weeks) so 37:37=1
In a right triangle the length of a hypotenuse is c and the length of one leg is a, and the length of the other leg is b, what is the value of b, if
a=2sqrt3 , c=2b ?
Answer: b = √6
Step-by-step explanation: Use the Pythagorean Theorem to solve this.
a² + b² = c²
Plug in your values:
2√3² + b² = 2b²
When a square root is squared, the square root is cancelled out so you will be left with this:
2(3) + b² = 2b²
Subtract b² from both sides so you’re left with:
6 = b²
Now, to get rid of the square, just square root both sides:
√6 = √b²
Since the √6 is not a perfect square, leave it in the radical. Then, you get your answer:
b = √6
Answer:
the answer:b is equivalent to 2