Answer:
SI=P ×R × T
Step-by-step explanation:
P=$500
R=6%
T=3 years
SI=500×3×6 ÷100
=$90
HELLPP Determine the constant of proportionality in the situation below.
Five bags of candy cost $15.75
Answer:
3.15
Step-by-step explanation:
15.75 divided by 5 gets you 3.15
Which is equivalent to 5+2(3x-4)=12x-11?
C. 9x=17
B. 6x=8
D. 9x=-39
For a sales promotion, the manufacturer places winning symbols under the caps of 23% of all its soda bottles. If you buy a six-pack of soda, what is the probability that you win something?
Answer:
The probability that you win something is 0.7916.
Step-by-step explanation:
Let X denote the number of soda bottles having winning symbols under the caps.
The proportion of soda bottles having winning symbols under the caps is, p = 0.23.
Six-pack of soda are randomly bought.
Every bottle is independent of the others to have the symbols under the caps.
The random variable X follows a binomial distribution with parameters n = 6 and p = 0.23.
Then the chance of winning something implies that at least 1 of the bottles in the six-pack have the symbol under the caps.
Compute the value of P (X ≥ 1) as follows:
[tex]P(X\geq 1)=1-P(X<1)\\\\=1-P(X=0)\\\\=1-{6\choose 0}(0.23)^{0}(1-0.23)^{6-0}\\\\=1-0.2084224\\\\=0.7915776\\\\\approx 0.7916[/tex]
Thus, the probability that you win something is 0.7916.
The probability of winning something from buying 6 bottles of the considered soda company is 0.7916 approximately.
How to find that a given condition can be modeled by binomial distribution?Binomial distributions consists of n independent Bernoulli trials.
Bernoulli trials are those trials which end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))
Suppose we have random variable X pertaining binomial distribution with parameters n and p, then it is written as
[tex]X \sim B(n,p)[/tex]
The probability that out of n trials, there'd be x successes is given by
[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]
For this case, let we take:
X = the number of bottles out of 6 bottles having winning symbols.
Each bottle have the winning symbol(call it success) or not (call it failure).
Each bottle's result is independent of each other in a random picking (if 23% of the number of bottles manufactured is bigger or equal 6).
Then, we have X pertaining binomial distribution, as:
[tex]X \sim B(n=6, p = 0.23)[/tex]
(since success is a bottle having winning stickers, and as there are only 23% such bottles, so chance of success is 23% = 0.23(in decimal)).
Probability of not winning anything = P(X = 0)
From the probability function of binomial distribution, we get:
[tex]P(X = 0) = \: ^nC_xp^x(1-p)^{n-x} = \: ^6C_0(0.23)^0(1-0.23)^6 \approx 0.2084[/tex]
Thus, we get:
Probability of winning something = 1 - probability of not winning anything.
Probability of winning something ≈ 1- 0.2084 = 0.7916
Thus, the probability of winning something from buying 6 bottles of the considered soda company is 0.7916 approximately.
Learn more about binomial distribution here:
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Please just give me a good explanation on how to reflect the x-axis and y-axis so I can learn it on my own as well as answering the question in the picture.
Answer:
Alright! BTW, the answer to the question is D :)
Step-by-step explanation:
Reflecting across the x-axis, the x-coordinate ALWAYS remains the same, but the y-coordinate is transformed into its opposite. If you forget this, fold along the x line, and you should be able to figure it out. Reflecting across the y-axis, the y-coordinate ALWAYS remains the same, but the x-coordinate is transformed into its opposite. If you forget this, fold along the y line, and you should be able to figure it out.
Hope I helped!
Select the correct answer.
Identify the end behavior and the zeros of function h.
h(x) = –13 – 9x2 + 41 +96
Based on these key features, which statement is true about the graph representing function h?
A. The graph is negative on the intervals (-00, -8) and (-4, 3).
B. The graph is positive on the intervals (-8, –4) and (3, 0).
C. The graph is positive on the intervals (-0, —8)and (-4, 3).
D. The graph is negative on the intervals (-3, 4) and (8,00).
Answer: C. The graph is positive on the intervals (-∞,-8) and (-4,3)
Step-by-step explanation: I guessed on my test and got it right. PLATO
Remember that whole numbers that are next to each other, for example, 2 and 3, or 43, 44, and 45 are called consecutive numbers.
If n is the smallest of three consecutive integers, write an expression for the largest number.
Answer:
n +2
Step-by-step explanation:
If three numbers are consecutive, the 2nd number would be one more than the 1st number, and the 3rd number would be one more than the 2nd number.
Since the smallest number is n,
2nd consecutive number= n +1
3rd consecutive number
= n +1 +1
= n +2
Thus, the expression for the largest number is n +2.
Let's check!
If the smallest of the three consecutive number is 1, the 3rd consecutive number would be 3.
3rd consecutive number
= n +2
= 1 +2
= 3 (✓)
Thus, the expression is correct.
-5(-2)..............
Answer:
10 is answer
Step-by-step explanation:
because minos minos = plus
Convert 1100111 from binary to hexadecimal
Answer:
67
Step-by-step explanation:
How many ways are there to arrange the letters in AIRBAGS?
There are 49 ways to arrange the letters (if they aren't words)
Choose the correct description of the graph of the compound inequality (1 point)
3x + 2 > 2 and 3x less than or equal to 6.
Question 17 options:
1)
A number line with an open circle on 0, shading to the left, and a closed circle on 2, shading to the right
2)
A number line with a closed circle on 0, shading to the left, and an open circle on 2, shading to the right
3)
A number line with a closed circle on 0, an open circle on 2, and shading in between
4)
A number line with an open circle on 0, a closed circle on 2, and shading in between
ycctc4ctctctctctctctctc5ctvtv5crctc5ctv5
what is a square of 1.5cm
Answer:
a square with 1.5 cm width and height
Answer:
2.25
Step-by-step explanation:
1.5 * 1.5 = 2.25.
PLEASE I NEED HELPP !!
Which situation leads to a unit cost of $8 per softball ticket?
A. $6 paid for 2 softball tickets
B. $6 paid for 6 softball tickets
C. 6 softball tickets for $24
D. 9 softball tickets for $72
Answer:
D 9 softball tickets for $72
Step-by-step explanation:
72/9=8
Answer:
The answer is D.
Step-by-step explanation:
You divide 72 by 9. Hope this helps!!! Please mark me brainliest and have a good rest of your day!!!
A consistent dependent system of equations is a system with
Answer:
Systems of equations can be classified by the number of solutions. , . , . If a consistent system has an infinite number of solutions, it is dependent.
2 times what equals 2/3
Answer: 1/3
Step-by-step explanation:
When twice a number is decreased by 4, the result is 236. What
is the number?
Find the slope of the line $5x + 2y + 9 = 0$.
The slope of the line is -5/2
Slope m = -5/2
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of the line be A
Now , the equation of line is expressed as
5x + 2y + 9 = 0
Now , the equation of line is expressed in the form y = mx + c
5x + 2y + 9 = 0
Subtracting 9 on both sides of the equation , we get
5x + 2y = -9
Subtracting 5x on both sides of the equation , we get
2y = -5x - 9
Divide by 2 on both sides of the equation , we get
y = ( -5/2 )x - 9/2
So , the slope of the equation is y = mx + c
The slope of the line is m
The slope is m = -5/2
Hence , The slope of the line is -5/2
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18x-3y=21 put in to slope intercept form
Answer:
the answ
Step-by-step explanation:
It would be 18x-3y=21 then it would be -3y=21-18x than it would be y=21/-3-18x/-3 then the answer would be y=-7+6x than the answer would be y=6x-7
Please answer this correctly without making mistakes
Answer:
The 2-yard pièce of cotton cloth for $13.26
Step-by-step explanation:
2 yards is 6 feet then it would be $2.21 per foot.
The 17 foot piece would cost $3.29 per foot.
To answer this question, you need to determine which one has a lower price per unit. In this scenario, you must divide the price of the cloths by their length in feet.
For the 2-yard piece of cotton cloth, first convert the length to feet. There are three feet in a yard, so the cloth is 6 feet. Then divide:
13.26/6=2.21
For the 17-foot piece of cotton cloth, simply divide:
55.93/17=3.29
The 2-yard piece of cotton cloth for $13.26 is the better buy because it has a lower unit price.
Hope this helps!!
what is 1/10 of 0.02
Answer:
0.002
Step-by-step explanation:
You just move the decimal over one place. This is the same as dividing by 10. Hope this helps!
For signing up for the rewards program at a pizzeria, Haley got a card with 15 points. For each pizza she orders, she earns 8 points. Once she hits 175 points, she gets a free pizza. How many pizzas will she need to order to get a free one?
Answer:
20 pizzas
Step-by-step explanation:
Let f(t)=6−2t2. Evaluate f(t+1).
Answer:
f(t+1)= -4t+2
Step-by-step explanation:
Subsitute the given vaule into the function and evaluate.
What is the slope and y-intercept of the equation 3(y-2) + 6(x+1) - 2 = 0?
Answer:y
y=−2x+2/3
SLOPE:-2
Y-INTERCEPT:2/3
Step-by-step explanation:
Thomas went to the store to buy a couple of items for his mother at the store. He purchased a gallon
of milk for $2.15, a gallon of orange juice for $4.68, and a loaf of bread for $2.49.
If the sales tax is 8.25%, what is the total cost?
Answer:
$10.09
Step-by-step explanation:
2.49 + 2.15 + 4.68 = 9.32
9.32 * 0.825 = 0.77
9.32 + 0.77 = 10.09
I hope this helped, please mark Brainliest, thank you!!
y = 3x. How do you graph it???
Answer:
If you go to desmos.com, select the graphing calculator, and enter in y = 3x you should be able to see how it's graphed! Hope this helps!
Answer:
(0, 0) and (1, 3)
happy to help!
When x = 19,
y = 209. Find
the value of x
when y = 143.
Answer:
13
Step-by-step explanation:
19=209
?=143
19*143
=2717
2717/209
=13
Factor -6 out of 18z - 15
In mathematics, a factor is an integer or algebraic expression which divides another number or expression evenly, giving no remainder, and the further calculation can be defined as follows:
Given:
[tex]\bold{-6\ out \ of (18z - 15)}\\\\[/tex]
To find:
Factor=?
Solution:
[tex]\to \bold{-6\ out \ of (18z - 15)}\\\\\to \bold{-6\times \frac{(18z - 15)}{-6}}\\\\\to \bold{-6\ (-3z + \frac{5}{2})}}\\\\[/tex]
Therefore, the final answer is "[tex]\bold{-6\ (-3z + \frac{5}{2})}}[/tex]".
Learn more:
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Round to the nearest 100 of 6,850..
Find the equation of the linear function represented by the table below in slope intercept form.
Step-by-step explanation:
let equation be y = mx + b.
m = (9-5)/(3-1) = 2
sub (1, 5):
5 = 2(1) + b
b = 3
therefore the equation: y = 2x + 3
Topic: coordinate geometry
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
A rectangle has a width of 10cm. The rectangle length is 4 times its width
Answer:
P = 100 centimeters (assuming you are asking for the perimeter)
Step-by-step explanation:
P = 2 (L + W) OR P = 2L + 2W where P equals the perimeter, L equals the length, and W equals the width.
Since the rectangle's length is 4 times its width and given we know the width is 10 centimeters, then the length is 40 centimeters. Now we can substitute these values in our formula, okay?
P = 2 (L + W)
P = 2 (40 + 10)
P = 80 + 20
P = 100 centimeters
A large container for water weighs 21 pounds. If a gallon of water weighs 8.34 pounds, what is an equation that relates the weight of the
water and the container, W. in pounds and the amount of water, A, in gallons? (1 point)
W
Answer:
W = 8.34A + 21Step-by-step explanation:
Given
Total weight = WAmount of water = A gallonsWeight of container = 21 poundsGallon of water = 8.34 poundsEquation we need is
W = 8.34A + 21