Answer:
95%
Step-by-step explanation:
(320 - 15) / 320 x 100 = 95%
A taste test asks people from Texas and California which pasta they prefer,
brand A or brand B. This table shows the results.
A person is randomly selected from those tested.
Are being from California and preferring brand B independent events? Why or why not?
Option (C) Yes, they are independent because P(California) is 0.55 and P(California | brand B) is 0.55 is the correct answer.
What is probability?
Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.
For the given situation,
Total number of people in Texas = 275
Total number of people in California = 150
Total number of people in California and preferring brand B = 54
Probability of people in California,
P(California) = Number of people in California / Total number of people
⇒ [tex]\frac{150}{275}[/tex]
⇒ [tex]0.54545[/tex] ≈ [tex]0.55[/tex]
Probability of people in California and preferring brand B
P(California | brand B) = Number of people in California and preferred brand B / Number of people preferred brand B
⇒ [tex]\frac{54}{99}[/tex]
⇒ [tex]0.54545[/tex] ≈ [tex]0.55[/tex]
In the data provided, each event is not dependent on other events.
Thus they are independent events.
Hence we can conclude that option (C) Yes, they are independent because P(California) is 0.55 and P(California | brand B) is 0.55 is the correct answer.
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HELP PLEASE Find the slope of the linear model
Answer:
Take two values
31.5-27/1= 4.5
Hence slope is 4.5x
Carla and Deserea bought a dozen cookies from the bakery. Carla ate ¼ of the cookies and Deserea ate ½ of the cookies. Who ate the most?
Answer:
Deserea ate more
Step-by-step explanation:
One dozen equals 12
Carla ate 1/4 of it
1/4×12/1=3
Carla ate 3 cookies
Deserea ate 1/2
1/2×12/1=6
Deserea ate 6
6 is greater than 3 so Deserea ate more
Please just show work on how to solve!
Answer:
(5,7)
Step-by-step explanation:
Find the constant of direct variation when x = 3 and y = -12
Answer:
constant = b = -15
Step-by-step explanation:
3 + b = -12
b = -12 - 3
b = -15
x-7y=4,5x-4y=-11 solve system of equations by substitution
multiply 1st eqn by 5
so it can be canceled and again u get value of y will be 1 and sagain put tha value of y in eqn 1 so that u can get the value of x
Deltamath
Please help me
Answer:
It should be (6, -3) If I am correct- sorry if it isn't
If f(x)=sin(x) and g(x)=sin(2x), which of the following statements is true?
A f(x) is a taller version of g(x).
B g(x) is a taller version of f(x).
C С
The period of f(x) is half the size of g(x).
D
The period of g(x) is half the size of f(x)
Find the circumference of the circle. Use 3.14 for pi. Use the inches squared for the
answer. (circle is 9 inches)
Answer:
the answer is 30.975
Step-by-step explanation:
... i haven't learned this so i cannot give you an explanation. sorry but i hope this helps :))
translate the sentence into an equation.
six more than the product of a number and 3 equals 4
use the variable x for the unknown number.
Answer:
6 + 3x = 4
Step-by-step explanation:
6 + 3x = 4
More means addition: 6 +
Product means multiplication: 3 × x = 3x
Equals means an equal sign: = 4
To solve for x, isolate the variable:
6 + 3x = 4
3x = -2
x = -2/3
Help me out please??
When Theo was born his uncle put $1000 in a college savings account for him, at 4%
interest
- Develop a function to show the amount in the savings account after x years
- How much money will be in the account when Theo is 18 and ready for college?
Answer:
A= P(1+r)^x
$2025
Step-by-step explanation:
Given data
Principal= $1000
Rate= 4%
1. - Develop a function to show the amount in the savings account after x years
Time= x years
The function is
A= P(1+r)^x
2. How much money will be in the account when Theo is 18 and ready for college?
Time= 18 years
A= 1000(1+0.04)^18
A=1000(1.04)^18
A=1000*2.025
A=$2025
the ratio of the measure of the three angles in a trinagle is 10:3:7. Find the measure of the largest angle
Answer:
90°
Step-by-step explanation:
[tex]10 + 3 + 7 = 20 \\ \frac{20}{20} = 180 \\ \frac{1}{20} = \frac{180}{20} \\ \frac{10}{20} = \frac{180}{20} \\ the \: largest \: angle = 90 \\ [/tex]
Aaron needs to hire a waiter. Waiter A is offering his services for an initial $20 in addition to $4.25 per hour. Waitress B is offering her services for an initial $23 in addition to $3.25 per hour. When will the two waiters charge the same amount of money?
At _ hours, both waiters will charge the same amount, $_.
which triangles are similar to triangle FDG? Help me asap
Answer:
ECB
Step-by-step explanation:
they are both similar
Anybody know this. Kinda need help
Answer:
[tex]g(x) = {(3x)}^{2} [/tex]
(MGSE9-12.G.SRT.8) Find the measure of the angle to the nearest degree. co 19 ? 38 A) 30° B) 27° C) 63° D) 60°
Answer:
b
Step-by-step explanation:
Terrence buys an apartment for 122,000. Five years later he sells the apartment for. 156,000 he had to pay a 5.2% comission fee on the final sale price of the house
Step-by-step explanation:
[tex] \frac{5.2}{100} \times 156000 \\ = 8112commission[/tex]
The ratio of footballs to total pieces of equipment is... and we have 2 baseballs and 6 footballs
Answer:
1:3 ............... ......
4. The dimensions of a rectangle are multiplied by a factor of 2 to form a new rectangle. Which of the following best describes the relationship between the perimeter of the old rectangle and the perimeter of the new rectangle? a. The perimeter of the new rectangle is half the original rectangle. b. The perimeter of the new rectangle is twice the original rectangle. c. The perimeter of the new rectangle is four times the original rectangle.d. The perimeter of the new rectangle is one-fourth the original rectangle.
I didn't mean to press that answer but please help.
Answer:
D
Step-by-step explanation:
There are FOUR equal sides so we eliminate some of the shapes that dont have equal sides.
We need a FOUR sided shape so we eliminate all the shapes that DONT have 4 sides.
We are now left with:
Square and rhombus.
PLS HELP :) Which expression is equivalent to c+c-10?
2c−10
−8c
c−9
12c
Answer:
2c - 10
Step-by-step explanation:
When you combine the like terms of the expression c+c-10, you get 2c-10.
Therefore, 2c - 10 is equivalent to c + c - 10.
c + c - 10 → 2c - 10.
Express (x – 7)2 as a trinomial standard form
Answer:
2x-14
Step-by-step explanation:
use the formula (b/2)^2
hope this helps :)
AkkakamakjakakaijJaja
Answer:
B
Step-by-step explanation:
I first combined like terms. next I subtracted the x on the left from both sides. Lastly, I subtracted 3 from both sides. hope this helped!
The world population was 6.114 billion in 2000 with an estimated growth
rate of 1.9% per year. Assuming the world population follows this exponential
growth mode, find the projected population in 2030.
Answer:
10.754 billion
Step-by-step explanation:
this is a exponential growth question. the initial value is 6.114 billion, with a growth rate of 1.9%, and 30 years. after you plug the values into the exponential growth equation, you should get 10.754 billion.
Use the distributive property to write an equivalent expression.
10(2x + 8y - 6)
Answer:
20x +80y -60 hope this helped:)
Step-by-step explanation:
Which is the equation of the line that is parallel to the graph of y = 5x + 7 and has a y-intercept at -2?
What is the vertex of the function f(x) = x2 + 12x?
O (-6, -36)
O (-6, 0)
O (6,0)
O (6, -36)
Answer:
A. -6,-36
Step-by-step explanation:
Right on EDG 2021.
The vertex of the function f(x) = x² + 12x is (-6, -36).
What are Quadratic Functions?Quadratic functions are polynomial functions consisting of variables and exponents and the degree of the variable is 2.
The general form of a quadratic function is f(x) = ax² + b x + c.
Given is a quadratic function,
f(x) = x² + 12x
Vertex of a quadratic function of the form f(x) = ax² + bx + c is the point (-b/2a, f(-b/2a))
Here, a = 1, b = 12 and c = 0
-b/2a = -12 / 2 = -6
f(-b/2a) = f(-6)
= (-6)² + (12 × -6)
= 36 - 72
= -36
Hence the vertex of the given function is (-6, -36).
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For each triangle find the missing length. Around your answer to the nearest tenth. Then find the area and the perimeter.
Step-by-step explanation:
I wish I could help but I can't see clearly
In circle D with m \angle CDE= 122m∠CDE=122 and CD=6CD=6 units, find the length of arc CE. Round to the nearest hundredth.
Answer:
12.78 units
Step-by-step explanation:
The formula for arc length =
2πr × θ/360
From the question:
θ = 122°
r = 6 units
Therefore, the arc length =
2 × π × 6 × (122/360)
= 12.775810125 units
Approximately to the nearest hundredth = 12.78 units
Therefore, the length of arc CE is 12.78 units