Answer:
12
Step-by-step explanation:
that is because 20 of 60 is 12
60X20/100=12
Find the probability:
You roll a fair six-sided die twice. The first roll
shows a five and the second roll shows a six.
The probability is 1/36.
The outcome of the first roll does not affect the outcome of the second roll, and so the probability of rolling any number on a fair six-sided die remains 1/6 for both rolls. This means that the probability of rolling a 5 the first time and a 6 the second time are both 1/6, and to find the probability of 2 things happening we have to multiply, so we end up with 1/6 × 1/6 = 1/36
I hope this helps! Let me know if you have any questions :)
FITNESS Alejandro is a personal trainer. For his clients to gain the maximum benefit from their exercise, Alejandro calculates their maximum target heart rate using the function f(x) = 0.85(220 – x), where x represents the age of the client. Find the inverse of this function and interpret its meaning in the context of the situation.
Answer:
1). [tex]f^{-1}(x)[/tex] = (200 - [tex]\frac{x}{0.85}[/tex])
2). Inverse function represents the age of the client and 'x' represents the maximum heart rate of the client.
Step-by-step explanation:
Function representing the maximum heart rate is,
f(x) = 0.85(220 - x)
Here x = age of the client
Equation form of the function will be,
y = 0.85(220 - x)
To get the inverse of the given function, replace 'x' by 'y' and 'y' by 'x' and solve for y.
x = 0.85(220 - y)
220 - y = [tex]\frac{x}{0.85}[/tex]
y = 220 - [tex]\frac{x}{0.85}[/tex]
Now convert this equation into a function.
[tex]f^{-1}(x)[/tex] = (200 - [tex]\frac{x}{0.85}[/tex])
Here inverse function represents the age of the client and 'x' represents the maximum heart rate of the client.
In Miss Ericksen's class, there are 18 boys and 15 girls. What is the ratio of boys to girls in Miss Ericksen's class? Simplify your answer.
Answer:
6:5
Step-by-step explanation
boys : girls
= 18 : 15
Now time to simplify:
18/3: 15/3
= 6:5
A bird flies from the bottom of the canyon that is 76 7/10 feet below sea level to a nest that is 769 3/5 Feet above sea level. What is the difference in elevation between the bottom of the canyon and the birds nest?
Answer:
846.3
Step-by-step explanation:
76.7+769.6=846.3
I Will pick brainless answer! A recipe for cookies requires 2/3 cup of butter. Rama wants to make 3/4 of the recipe. How many cups of butter should Rama used to make the cookies?
Answer:
d: 1/2
Step-by-step explanation:
Answer:D. 1/2 c
Step-by-step explanation:A recipe is 100% and 3/4 is 75%. 75% of 2/3 is 1/2.
-9x + 0.4 = 4 hhhhhhhhheeeeeeeeellllllllppppppp
Answer:
x = -0.4
Step-by-step explanation:
First subtract the 0.4 from both sides. Then divide both sides by -9 to solve for x.
Answer:
-0.4
Step-by-step explanation:
Subtract 0.4 from both sides.
-9x + 0.4 = 4
-0.4 -0.4
-9x = 3.6
Divide both sides by -9.
-9x/-9 = 3.6/-9
Simplify
x = -0.4
I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!
I need help finding the slope and y-Intercept
Answer:
You Do y= mx+b
Step-by-step explanation:
Answer:
y-intercept is 2 because line passes through (0,2) and the slope is 3.
The equation of this line is y=3x+2.
3(5x – 10) < 30x solve for x
Answer:
x>-1.25
Step-by-step explanation:
3(5x-10)<30x
15x-20<30x
-20<15x
-20/15<x
-1.25<x
x>-1.25
Step-by-step explanation:
Step 1: Distribute
[tex]3(5x - 10) < 30x[/tex]
[tex](3 * 5x) + (3 * -10) < 30x[/tex]
[tex]15x - 30 < 30x[/tex]
Step 2: Subtract 15x from both sides
[tex]15x - 15x - 30 < 30x - 15x[/tex]
[tex]-30 < 15x[/tex]
Step 3: Divide both sides by 15
[tex]-30 / 15 < 15x / 15[/tex]
[tex]-2 < x[/tex]
Answer: [tex]x > -2[/tex]
.5s+1=7+4.5s solve for s
Answer:
The answer is [tex]s = - \frac{3}{2}[/tex] .
Step-by-step explanation:
Solve the equation:
[tex]0.5s + 1 = 7 + 4.5s[/tex]
-Subtract [tex]4.5s[/tex] from [tex]0.5s[/tex] :
[tex]0.5s + 1 -4.5s = 7 + 4.5s -4.5s[/tex]
[tex]-4s + 1 = 7[/tex]
-Subtract both sides by [tex]1[/tex] :
[tex]-4s + 1 - 1 = 7 -1[/tex]
[tex]-4s = 6[/tex]
-Divide both sides by [tex]-4[/tex] :
[tex]\frac{-4s}{-4} = \frac{6}{-4}[/tex]
[tex]s = -\frac{3}{2}[/tex]
So, therefore, the final answer is [tex]s = -\frac{3}{2}[/tex] .
Which expression is equivalent to 6 Superscript 4 times 6 cubed?
A. (6 times 6 times 6 times 6) + (6 times 6 times 6)
B. (6 + 6 + 6 + 6) times (6 + 6 + 6)
C. (6 times 6 times 6 times 6) times (6 times 6 times 6)
D. (6 times 6 times 6 times 6 times 6) times (6 times 6 times 6 times 6)
I know the answer, I just didn't find it anywhere, so I'm putting it here
(I did find one, but the answers for it weren't right and no comments were right)
The answer is C. (6*6*6*6)*(6*6*6)
Answer:
The answer is C.
(6 times 6 times 6 times 6 times) times (6 times 6 times 6)
(6 * 6 * 6 * 6) * (6 * 6 * 6)
(6 × 6 × 6 × 6) × (6 × 6 ×6)
(6^4) × (6^3)
A bird flies from the bottom of a canyon that is 77 1/10 and one tenth feet below sea level to a nest that is 738 3/5 and three fifths feet above sea level. What is the difference in elevation between the bottom of the canyon and the bird's nest?
Answer:
[tex]805\frac{8}{10}[/tex]
Step-by-step explanation:
[tex]805\frac{8}{10}[/tex]
The bottom of the conyon to ses level plus sea level to the bird nest.
First you add 82+723
And than you need to find the common denominator in this case [tex]10\frac{1}{2} =\frac{5}{10}[/tex]
[tex]\frac{5}{10} +\frac{3}{10}[/tex]
Given a radius of 9 inches, estimate the length of arc s to the nearest hundredth. inches
Answer:
21.24
Step-by-step explanation:
Edge 2020
The required arc length of the circle is 9.42 inches
What is an arc?The arc is a portion of the circumference of a circle.
What is the Area of a Sector?Area of a sector of a circle = θ/360 × πr², where r is the radius of the circle and θ is the central angle.
To calculate the length of the arc, we use the formula:
S = 2πr (θ/360°)
where,
S = arc length
r = radius of the circle
θ = central angle
As per the given question, we have
r = 9 inches, and θ = 60°
Substitute the values in the above equation, we get:
S = 2π(9) (60°/360°)
S = 2π(9)/60°
S ≈9.42
Hence, the arc length of the circle is 9.42 inches.
Learn more about the arc of the circle here:
brainly.com/question/1577784
#SPJ2
The question seems to be incomplete, here is the complete question:
Given a radius of 9 inches intercepted by the central angle of 60°. Estimate the length of arc 'S' to the nearest hundredth.
I really need help with this :((
Answer:
Step-by-step explanation
The two other forms are written form and expanded from. That first blank is for written from and the answer is four and eight-hundred twenty-sixth thousandths. For the other ones i think for the first blank it is 4 then 8 then 20 and then 6.
Hey, can anyone help me? My math question is: "What sort of information can you get from conditional frequencies that you couldn't get by just looking at the relative frequencies?"
Thanks :)
Answer: Conditional frequencies enables users to get more specific information when analyzing a dataset.
Step-by-step explanation: Frequency refers to the count of occurrence of a particular variable.
Relative frequency is obtained by taking the ratio of the counts a particular variable and the total counts and of all available variables in the experiment or data.
Conditional Frequency allows us to input additional constraints to our frequency counts, especially in a two-way table. Enabling us to get more specific information by using conditional statements.
Fair Spinner A has four equal sections labelled 1,2,3,4.
Fair Spinner B has four equal sections labelled 2,3,4,5.
Each Spinner is spun once and the numbers added.
Work out the probability that the total is 5 or less.
Give your answer as a Fraction.
Answer:
3/8
Step-by-step explanation:
The spinner A has 4 possible values:
1, 2, 3, 4
The spinner B has 4 possible values:
2, 3, 4, 5
The possible pairs we can have are:
(1,2), (1,3), (1,4), (1,5),
(2,2), (2,3), (2,4), (2,5),
(3,2), (3,3), (3,4), (3,5),
(4,2), (4,3), (4,4), (4,5).
The sum of these pair of values are:
3, 4, 5, 6,
4, 5, 6, 7,
5, 6, 7, 8,
6, 7, 8, 9.
So we have 6 values that are 5 or less, in a total of 16 values, so the probability of the sum being 5 or less is P = 6/16 = 3/8
someone lmk plzzz tyy
Answer:
y-1 = -(x-2)
Step-by-step explanation:
First find the slope
m = (y2-y1)/(x2-x1)
= (5-1)/(-2 -2)
= 4/-4
= -1
We are using point slope form using the point (2,1)
y-y1 = m(x-x-1)
y-1 = -1(x-2)
y-1 = -(x-2)
BO and OC are the bisector of angle B and angle C of the triangle ABC. Find BOC if BAC = 70 degrees.
For reference please look at the photo above.
Answer:
BOC= 110 degrees
Step-by-step explanation:
you can refer the above explanation
Andre’s father is 8 years more than twice Andre’s age, a. The sum of their ages is 53, how old Andre?
Answer:
15 years old
Step-by-step explanation:
The equation would be
8x + 2x + x = 53
3x = 45
x = 15
Write the slope-intercept form of an equation that passes through the points (3,7) and (5,11)
someone pls help this is due today
Answer: 0.44mm
Step-by-step explanation:
In this problem we are asked for the height of a single playing chip. We know the volume of a cylinder is 25120 mm^3.
V=πr²h
25120=πr²h
The problem also gives the diameter of the case: 40mm.
To find radius, you divide the diameter in half.
d=2r
40=2r
r=20
With the radius, we can add that to the volume equation.
25120=[tex]\pi[/tex](20)^2h
25120=400πh
All we have left is to find the height.
h=25120/(400π)
h≈20mm
Now that we know the height, we can find the height of a single chip. The problem states about 50 chips can fit in a case. To find the height of a single chip, you would divide 20 by 50.
20mm/50 chips=0.4mm/chip.
What is the volume of this rectangular prism?
Answer:
[tex] \frac{1}{2} {cm}^{3} [/tex]
Step-by-step explanation:
[tex]v = whl \\ = \frac{1}{4} \times 2 \times 1 \\ = \frac{2}{4} \\ = \frac{1}{2} {cm}^{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle C?
Please Help!!!
Answer:
C=62 maybe
Step-by-step explanation:
3x=x+20
-x -x
2x=20
divide by 2
x=10
2*10=20+38=58
10+20=30
3*10=30
30+30=60+58=118
180-118=62
Complete the square to rewrite x^2+y^2+2x+6y-6=0 in graphing form
Answer:
(x + 1)² + (y + 3)² = 16
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
x² + y² + 2x + 6y - 6 = 0
Collect the x and y terms together and add 6 to both sides
x² + 2x + y² + 6y = 6
To complete the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(1)x + 1 + y² + 2(3)y + 9 = 6 + 1 + 9
(x + 1)² + (y + 3)² = 16
with centre = (- 1, - 3) and r = [tex]\sqrt{16}[/tex] = 4
OVER HERE WALKER.
What is the perimeter of a rectangle measuring 10cm by 5cm ?
Answer:
30 cm.
Step-by-step explanation:
Answer:
30 cm
Step-by-step explanation:
Perimeter is the outside measurement/ outline, add 10+10+5+5 which is all the sides together and you get your answer for perimeter
10x + 4 = 2(5x + 8) – 12 how many solutions and solve for x
Answer:
hope this help
Step-by-step explanation:
10x + 4 = 10x + 16 -12 = 10x + 4
infinite solution of x ( for x is real number)
Find the solution set.
(x - 5)(x-5) = 0
Answer:
x = 5
Step-by-step explanation:
Steps to solve:
(x - 5)(x - 5) = 0
~Set both factors to equal 0
x - 5 = 0
x - 5 = 0
~Solve for x
x - 5 = 0
x - 5 + 5 = 0 + 5
x = 5
We only solved for one factor since they are both the same and the x value for both are also the same.
Best of Luck!
please help! i dont get this
ANSWER: D.180
EXPLANATION: A straight angle is 180 degrees
A straight angle changes the direction to point the opposite way. Sometimes people say "You did a complete 180 on that!" ... meaning you completely changed your mind, idea or direction.
5. Factor each expression.
a. 15a - 13a
b. -6x – 18y
c. 36abc + 54ad
Step-by-step explanation:
a.)
= 15a - 13a
= a(15 - 13)
= a(2)
= 2a
b.)
= -6x - 18y
= -(x + 3y)
c.)
= 36abc + 54ad
= 6a(6bc + 9d)
Answer:
[tex]a \: ) \: \: 15a - 13a \\ = a(15 - 13) \\ = a(2) \\ = 2a[/tex]
[tex]b) \: \: - 6x - 18y \\ = - 6(x + 3y)[/tex]
[tex]c) \: \: 36abc + 54ad \\ = 9a(4bc + 6d)[/tex]
(a + 3)(a - 2) (multiplying polynomials by polynomials is the assignment, i need help lol)
Answer:
a^2 +a -6
Step-by-step explanation:
(a + 3)(a - 2)
FOIL
first: a*a = a^2
outer: -2*a = -2a
inner: 3*a =3a
Last : -2*3 = -6
Add them together
a^2 -2a+3a -6
Combine like terms
a^2 +a -6
Answer:
a² + a - 6
Step-by-step explanation:
(a + 3)(a - 2) = a² - 2a + 3a - 6 = a² + a - 6
A circle has a sector with area (3/2) pi and central angle of 60°.
What is the area of the circle?
Either enter an exact answer in terms of it or use 3.14 for it and enter your answer as a decimal.
Answer:
[tex]9\pi[/tex], which is approximately [tex]28.26[/tex].
Step-by-step explanation:
Consider two sectors in the same circle. The area of the two sectors is proportional to their central angles. In other words, if the central angle is [tex]\theta_1[/tex] for the first sector in this circle, and [tex]\theta_2[/tex] for the second, then:
[tex]\displaystyle \frac{\text{Area of Sector 1}}{\text{Area of Sector 2}} = \frac{\theta_1}{\theta_2}[/tex].
In this question, think about the whole circle as a sector. The central angle of this "sector" would be [tex]360^\circ[/tex] (a full circle.) Compare the area of this circle to that of the [tex]60^\circ[/tex]-sector in this circle:
[tex]\displaystyle \frac{\text{Area of Circle}}{\text{Area of $60^\circ$-Sector}} = \frac{360^\circ}{60^\circ} = 6[/tex].
In other words, the area of this circle is six times that of the [tex]60^\circ[/tex]-sector in it.
The area of that [tex]60^\circ[/tex]-sector is [tex]\displaystyle \frac{3}{2}\pi[/tex]. Therefore, the area of this full circle will be [tex]\displaystyle 6 \times \frac{3}{2}\pi = 9\pi \approx 28.26[/tex].
