Answer:
[tex]y = 2(0.5) {}^{x} [/tex]
Step-by-step explanation:
Use the general formula of exponential equation
[tex]y = ab {}^{x} [/tex]
Plug 0,2 into the function
[tex] - 2 = ab {}^{0} [/tex]
[tex] - 2 = a \times 1[/tex]
[tex]a = - 2[/tex]
[tex]y = - 2b {}^{x} [/tex]
[tex] - 4 = - 2b {}^{ - 1} [/tex]
[tex]2 = b {}^{ - 1} [/tex]
[tex] {2}^{ \frac{ 1}{ - 1} } [/tex]
[tex]2 {}^{ - 1} = 0.5[/tex]
B=0.5
[tex]y = 2(0.5) {}^{x} [/tex]
The probability that comic book reader in a particular city prefers comics published by company A is 25%. The probability that comic book reader in the city's is male 70%
Complete question is;
The probability that a comic book reader in a particular city prefers comics published by Company A is 25%. The probability that a comic book reader in the city is male is 70%. If the probability of a comic book reader in the city being a male, given that the reader prefers Company A's comics, is 40%, what is the probability of the reader preferring Company A's comics, given that the reader is a male?
Answer:
0.14 or 14%
Step-by-step explanation:
We are told that the probability that the comic book readers prefers comics published by company A is 25%.
Thus; P(A) = 25% = 0.25
Also, we are told that the probability that comic book reader is male 70%.
Thus; P(M_r) = 70% = 0.7
We are also told that the probability of a comic book reader being a male, provided that the reader prefers Company A's comics, is 40%.
Thus; P(A|M_r) = 40% = 0.4
To find the probability of the reader preferring Company A's comics, provided that the reader is a male, we will apply baye's theorem.
Thus;
P(M_r|A) = [P(A|M_r) × P(A)]/P(M)
P(M_r|A) = (0.4 × 0.25)/0.7
P(M_r|A) ≈ 0.14
Welp, the last one before the test
Answer:
y=2x-3
Step-by-step explanation:
y=mx+c
m=gradient=
5-(-5)/4-(-1)
=10/5
=2
c=y intercept=-3
y=2x-3
Answer:
y = 2x - 3
Step-by-step explanation:
(4, 5) and (0, -3)
m=(y2-y1)/(x2-x1)
m=(-3-5)/(0-4)
m=(-8)/(-4)
m=2
y - y1 = m(x - x1)
y - 5 = 2(x - 4)
y - 5 = 2x - 8
y = 2x - 3
Use the Distributive Property to expand the expression. 0.2(15m − 25n)
Answer:3m-5n
Step-by-step explanation:
Simplify (write without the absolute value sign):
|x÷3|, if x < 0
Answer:
0
Step-by-step explanation:
zero divided by anything that is integral is zero and 3 in a integer
0
Answer:
0
Step-by-step explanation:
If Kate is traveling at 6 m/s and speeds up to 12 m/s in 3 seconds. What is Kate's acceleration?
Acceleration is 2.......
write (3a^3)^2 without exponents
Answer:
9 x a x a x a x a x a x a
Step-by-step explanation:
[tex](3a^{3})^{2} = 9a^{6} \\[/tex] Here, we use the law of indices. Everything inside the bracket has to be squared, so 3^2 = 9 and (a^3)^2 = a^6 We use the rule of when one power is within a bracket and one outside, we multiply the two powers together instead of adding.
3^2 can be simplified to 9 as this is simply 3 x 3, but a^6 (this is still a value with an exponent) cannot be simplified so we break this down into the notation of a x a x a x a x a x a
Therefore 9 x a x a x a x a x a x a is the answer.
I hope this helps you!! ^-^
The expansion of (3a³)² without exponents will be 9 x a x a x a x a x a x a.
What is expansion?Expanded form is the term used in mathematics to refer to the process of expanding a number to convey the value of every digit and place value.
When a mathematical object is increased by a multiplier that is bigger in actual values than one, an expansion follows.
In another word, if you solve a factor by opening the bracket then you will go to get on some expanded term called expansion.
In mathematics, all real-life problems can be converted into equations which are sometimes in form of factors and we need to expand them to create solutions.
Given the expression,
(3a³)²
By the law of indices
(3a³)² = 3²(a³)²
(3a³)² = 9a⁶
But we cannot write it in exponent form
So,
9a⁶ = 9 × a x a x a x a x a x a.
Hence "The expansion of (3a³)² without exponents will be 9 x a x a x a x a x a x a".
For more information about the expansion,
brainly.com/question/14447197
#SPJ2
Write the equation of the line shown on the graph in slope-intercept form.
Has to be in slope-intercept form.
Answer:
1/1
it would be rise over run (rise/run) where the line rises 1 and runs 1. good luck. the answer could just be 1.
I NEED HELP ASAP PLEASE DON'T SPAM :(
Answer:
Answer is D hope this helps
Step-by-step explanation:
Find the lengths of the missing sides in the triangle. Write your answers as integers or as decimals rounded to the nearest tenth. The diagram is not drawn to scale.
Answer:
x = 7[tex]\sqrt{2}[/tex] and y = 7
Step-by-step explanation:
Since this is 45 45 90 triangle, each leg is the same length so y = 7 too and x is always [tex]a\sqrt{2}[/tex] so x = 7[tex]\sqrt{2}[/tex]
The values of [tex]x[/tex] and [tex]y[/tex] are required.
The required values are
[tex]x=9.9\ \text{units}[/tex]
[tex]y=7\ \text{units}[/tex]
The given triangle is a right angled triangle.
Two given angles are [tex]90^{\circ}[/tex] and [tex]45^{\circ}[/tex]
The sum of the angles is [tex]180^{\circ}[/tex]
The missing angle is
[tex]180-(90+45)=45^{\circ}[/tex]
Since, the two angles are equal the side opposite the angles will also be equal.
So,
[tex]y=7[/tex]
Applying the Pythagoras theorem.
[tex]7^2+7^2=x^2\\\Rightarrow x=\sqrt{7^2+7^2}\\\Rightarrow x\approx 9.9[/tex]
Learn more:
https://brainly.com/question/17307037?referrer=searchResults
Shannon wants to buy some muffins and a greeting card for her friend's party. A local grocery store sells muffins for $2.75 each and greeting cards for $2.00.
If Shannon buys 12 muffins and 1 card, how much money does she spend at the grocery store?
A. $57.00
В. $33.00
C. $35.00
D. $26.75
Answer:
$35
Step-by-step explanation:
jus trust
Kara bought a gift for her nephew. She spent $25 on the gift. Sales tax was 6.75%. What was the total cost for the gift , including tax?
To find total price multiply the cost of the item by 1 + tax rate.
25 x 1+6.75% = 25 x 1.0675 = 26.69
The total cost was $26.69
Find the triangles area drawing not to scale.
Answer:
35 lol
Step-by-step explanation:
a = b*h/2
a = 10*7/2
a = 70/2
a = 35 lol
7.
The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.
Time (hours)
4
6
8
10
Distance (miles)
212
318
424
530
A. [tex]\frac{1}{53}[/tex]; Your car travels 53 miles every 1 hour.
B. [tex]\frac{53}{1}[/tex]; Your car travels 53 miles every 1 hour.
C. 212; Your car travels 212 miles.
D. 10; Your car travels for 10 hours.
Answer:
The answer is A) The car travels 53 mph(Miles Per Hours).
212/4 = 53
318/6 = 53
424/8 = 53
530/10 = 53
Step-by-step explanation:
Answer:
B) rate of change is 53, your car travels 53 miles every 1 hour .
Step-by-step explanation:
Given : Table for time and distance.
To Find : The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.
Solution : We have given that Table for time and distance.
rate of change= .
rate of change= .
rate of change = 53.
rate of change= .
rate of change = 53
rate of change = .
rate of change = 53.
rate of change = .
rate of change = 53.
Therefore, B) rate of change is 53, your car travels 53 miles every 1 hour .
Answer: A
Step-by-step explanation:
25 POINTS HELP NOWW
a curcle has a diameter of 14. What is the circumference of the circles exact value?
Answer:
i dont know math stinks
Step-by-step explanation:
Answer:
I guess the answers in the photo?
The area of circle Z is 64Pi ft2. Circle Z is shown. Radius D has length r. R = StartRoot StartFraction Area Over pi EndFraction EndRoot What is the value of r? r = 4 ft r = 8 ft r = 16 ft r = 32 ft
Answer:
r = 8 ft
Step-by-step explanation:
Area of a circle => πr²
We are told in the question that:
The area of circle Z is 64Pi ft²
= 64π ft²
What is the value of r
We equate
πr² = 64 π
r² = 64 π/π
r² = 64
We square root both sides.
√r² = √64
r =>8 ft
The radius of the given circle Z is 8ft which was solved using the area of the circle
Data;
Area = 64π ft^2radius = rArea of a CircleThe formula of area of a circle is given as
[tex]A = \pi r^2[/tex]
Let's substitute the values and solve
[tex]A = 64\pi\\A = \pi r^2 \\64 \pi = \pi r^2\\[/tex]
divide through by π
[tex]64\pi = \pi r^2\\\\64 = r^2\\[/tex]
Let's take the square root of both sides
[tex]r^2 = 64\\r = \sqrt{64} \\r = 8ft[/tex]
The radius of the circle Z is 8ft
Learn more on area of a circle here;
https://brainly.com/question/15673093
What is one formula containing pi that would be useful in life. This could be any type of formula: circumference, area, volume,
Answer:
Area of semi-circle = [tex]\frac{1}{2}\pi r^{2}[/tex]
Perimeter of semi-circle = [tex]\pi r + 2r[/tex] where r is the radius
Step-by-step explanation:
Pi has been used in the construction of arches, bridges, churches and buildings.
Since the bridges and arches are semicircles, Pi helps in determining perimeter of the semicircle which in turn helps in calculating the amount of material required for construction.
Area of semi-circle = [tex]\frac{1}{2}\pi r^{2}[/tex]
Perimeter of semi-circle = [tex]\pi r + 2r[/tex] where r is the radius
All repeating decimals are irrational True or false
Answer:
True
Step-by-step explanation:
Answer: the answer is true sorry if its wrong
Step-by-step explanation:
have a nice day buddy
Write an algebraic expression for the following situation: 12 3/4 less than the product of 7 and a number x *
Answer:
7x - 12 3/4
product of 7 and a number x: 7x
12 3/4 less than the... : - 12 3/4
Answer:
7x - 12 3/4
Step-by-step explanation:
If 9(x + 5) = 63 , what is the value of x + 5 ?
dis is for my friend to answer
A pool table supply company is making a cardboard box to package new cubes of pool cue chalk. Each cube of chalk is 1 cubic inch. The company considers all the ways to arrange 16 cubes of the chalk. (Which arrangement of chalk would require the most cardboard for the box?)
16 inches by 1 inch by 1 inch
8 inches by 2 inches by 1 inch
4 inches by 4 inches by 1 inch
4 inches by 2 inches by 2 inches
Answer:
-they all require the same amount of card board because if you take all of the numbers times eachother they all come out as 16
-Soo 16 inches by 1 inch by 1 inch
Step-by-step explanation: Hope this help :D
Please someone help me with this... and please thouroughly explain, i have no clue what to do.
144. Use the formula for the volume of a cone, since the answer is in terms of pi disregard the pi in the formula and solve using (r^2)(h/3) which will give you the answer in terms of pi.
plsss help i’ll give brainliest if you give a correct answer
Answer:
(-2) and 3
Step-by-step explanation:
Answer:
f=-2, f=3, f=-4, they are all smaller than 4!!!
Someone help plz and make sure its right
12.1 yd
Step-by-Step Explanation:12.14 yd; round and get 12.1 yd
You place two wooden support beams under a shelf, as shown. Find the value of x. (3x-13 ) (x- 3) x=
Answer:
x = 49Step-by-step explanation:
Fins the similar diagram attached;
The sum of the angles is 180 degree since they lie on the same straight line. Hence;
3x - 13 + x - 3 = 180
Collect the like terms;
3x+x -13 - 3 = 180
4x - 16 = 180
4x = 180 + 16
4x = 196
x = 196/4
x = 49
Hence the value of x is 49
Note that the values in question is different from that of diagram but the diagram is similar to what we need
To estimate the percentage of a state's voters who support the current
governor for reelection, three newspapers each survey a simple random
sample of voters. Each paper calculates the percentage of voters in their
sample who support the governor and uses that as an estimate for the
population parameter. Here are the results:
• The Tribune, n = 600 voters sampled; sample estimate = 58%
• The Herald: n = 400 voters sampled; sample estimate = 54%
• The Times. n = 200 voters sampled; sample estimate = 68%
All else being equal, which newspaper's estimate is likely closest to the actual
percentage of voters who support the governor for reelection?
A. The Tribune, at 58%
B. The Times, at 68%
C. The Herald, at 54%
Brainliest if correct
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Can someone please help me with math.
Answer:
9
Step-by-step explanation:
answer for points and brainiest!
Step-by-step explanation:
Yes
yes
yes
no
hope this helps
The scale of a map is 1/2 in : 8 mi. What is the actual distance of the map if it is 2 in?
4Please help!! Geometry, will mark brainliest!