The equation that could be used to determine the area of Kahuna's bed is:
Area = 12 + 32xHow to find the equation for the areaThe area of Kahuna's bed can be determined by multiplying its length by its width.
Let's first determine the length and width of Kahuna's bed in terms of x.
The width of Kahuna's bed is 2 feet wider than Bella's bed, which means its width is:
2 + 2 = 4 feet
The length of Kahuna's bed is 8x feet longer than Bella's bed, which means its length is:
3 + 8x
Therefore, the area of Kahuna's bed can be calculated as:
Area = length x width
Area = (3 + 8x) x 4
Expanding the equation, we get:
Area = 12 + 32x
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when performing a hypothesis test on μ when σ is known, h0 can never be rejected if
When performing a hypothesis test on the population mean (μ) when the population standard deviation (σ) is known, the null hypothesis (H0) can never be rejected if the sample mean falls within the acceptance range determined by the chosen significance level and the critical values.
In hypothesis testing for the population mean when the population standard deviation is known, the null hypothesis (H0) represents the claim or assumption that the population mean is equal to a specific value. The alternative hypothesis (Ha) states that the population mean is not equal to the specific value.
To determine whether to reject or fail to reject the null hypothesis, we compare the sample mean to the expected value under the null hypothesis. If the sample mean falls within the acceptance range determined by the chosen significance level and the critical values, we do not have sufficient evidence to reject the null hypothesis. The acceptance range is defined by the margin of error around the expected value, and it indicates the range of values that can be considered reasonably close to the expected value.
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Ana is looking to buy a prom dress that is sold at two different stores. The dress is $390
at store B and $550 at store D, but store D is having a sale offering 28% off. Where
should she buy the dress to save the most?
Answer:
store D
Step-by-step explanation:
Becuase if the Store D hast the same cost as the Store B it will be better to pick at store D because The original price is 550 for the dress meanwhile The store D have 28% off which it only cost 296$
. section 4.6.1, problem 13 use r’s "pbinom" function to verify chebyshev’s inequality for k = 2 and k = 3 when x ∼ binomial(50, 0.4)
We have verified Chebyshev’s inequality for k = 2 and k = 3 when x ∼ binomial(50, 0.4).
Main answer :Using r’s "pbinom" function, we can verify Chebyshev’s inequality for k = 2 and k = 3 when x ∼ binomial(50, 0.4).The P(X ≤ μ + 2σ) and P(X ≤ μ + 3σ) values were obtained from the "pbinom" function for k = 2 and k = 3, respectively.
Supporting explanation :Chebyshev’s inequality states that for any data set, the proportion of the data within k standard deviations of the mean is at least 1 – 1/k^2, where k is a constant greater than 1. This holds true regardless of the shape of the distribution. To verify Chebyshev’s inequality for k = 2 and k = 3 when x ∼ binomial(50, 0.4), we first calculate the mean and standard deviation using the formula μ = np and σ = sqrt(npq), where n = 50, p = 0.4, and q = 0.6. Thus, μ = 20 and σ = 2.83.Then, we use the "pbinom" function in R to obtain the values of P(X ≤ μ + 2σ) and P(X ≤ μ + 3σ) for k = 2 and k = 3, respectively. For k = 2, P(X ≤ 25.66) = 0.9975, and for k = 3, P(X ≤ 28.49) = 0.9995.These values are greater than or equal to 1 – 1/k^2, where k = 2 and k = 3, respectively.
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PLEASE ANSWER I WIL GIVE YOU BRAINIEST!!!!!!!!!!!!!!!!
Answer:
B.
Step-by-step explanation:
5$ ticket per ride = 5x
y = 5x
table A
Graph B
what is 64 ÷8 x 1/2 Please and Thank you
Answer:
4
Step-by-step explanation:
64/8 x 0.5 = 8 x 0.5 = 4
Which of them is true?
A. [ -18]< 6
B.[ -6] < [ -8]
C.[8]<[-6]
D.[-6] < -8
Answer:
B. |-6| < |-8|
Step-by-step explanation:
The absolute value will always make the number positive. B is the only option in which (once absolute value is used) will make a true statement.
|-6| < |-8| = 6 < 8
( 6 is less than 8 )
2 points
1) Michael has been saving up his money. He has saved $45. One day he
goes to the mall and spends $33. How much money does Michael have
now? *
O $12
O $78
O $-12
O $-78
Which property is this 6y-y + 2y + 10 - 4+2
0.99 divided by 1.1.
Answer: 0.9
Step-by-step explanation:
TI
B
A
В.
A
a. Description of Transformation:
b. Equation for pre-image:
c. Equation for image:
What inequality represents this graph?
Answer:
x ≥ -8
General Formulas and Concepts:
If it is a closed dot, we use the inequality and equal sign: ≥ or ≤
If it is a open dot, we use the inequality only: > or <
Step-by-step explanation:
We can label the solutions as x.
We see starting from -8 that are solutions get larger.
Since the dot is closed, we use the greater than or equal to sign: ≥
Therefore, x has to be greater than -8 and increasing towards ∞.
x ≥ -8
true or false: the quantity represented by θ is a function of time (i.e., is not constant).
Answer: the answer to this is true
Classify the triangle: I NEED HELPPPP PLEASEEEEEEEEEEEEE
Answer:
Right scalene
Step-by-step explanation:
The triangle has a right angle, but no sides are equal.
Answer:
The triangle is a right scalene triangle.
Step-by-step explanation:
If any angle is marked by a little square like in the triangle's bottom left corner, that means the angle is 90° or a right angle. Since none of the angles in the triangle are equivalent, that means the right triangle is a scalene triangle. So the correct choice is a right scalene triangle.
PLEASE HELP MEEEEEEEEE
Answer:
Time: 3 & 9
Distance: 21
*Keep an eye out for a pattern
What is the area of triangle def? round to the nearest tenth of a square unit. 10.3 square units 18.0 square units 20.0 square units 20.6 square units
The area of the triangle def round to the nearest tenth of a square unit is 10.3 square units.
What is the formula for area of a triangle?When the two sides and an angle of a triangle is known, then the area of the triangle can be found out with the following formula.
\(A=ab\sin\left(\dfrac{C}{2}\right)\)
Here, a,b are the adjacent sides and C is the angle made between them.
The image of the triangle DEF is attached below. In this the two adjacent sides are given with the length 5 units ans 8 units long.
The angle made between them has the measure of 31 degrees. Put the values in the above formula as,
\(A=(5)(8)\sin\left(\dfrac{31}{2}\right)\\A=10.3\rm\; unit^2\)
Hence, the area of the triangle def round to the nearest tenth of a square unit is 10.3 square units.
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Answer: A, 10.3
Step-by-step explanation: edge 2022
Solve the system of linear equations by substitution. 4x−2y=14 y=12x−1
Answer:
Step-by-step explanation:
16
what is the DOMAIN of the graph
Answer:
The domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
Step-by-step explanation:
The domain is the set of x -coordinates, {0,1,2} , and the range is the set of y -coordinates, Because {7,8,9,10} . Note that the domain elements 1 and 2 are associated with more than one range elements, so this is not a function.
Explanation of how we can make (a) subject
Answer:
Step-by-step explanation:
If 5x+2=52, then what does x equal?
Answer:
x=10
Step-by-step explanation:
If we subtract 2 from 52 we get 50 and ten mutiplys into 50.
Um could you just explain how you got the answer so i can do the rest by myself?? ❤︎❤︎
In APQR, mZP = (4x – 14)", mZQ = (5x + 6)°, and
mZR = (x - 2)°. Find mZR.
Answer:
x = 19
m<R = 17°
Step-by-step explanation:
PQR is a triangle and the sum of interior angles in a triangle is equal to 180°
m<P + m<Q + m<R = 180°
4x - 14 + 5x + 6 + x - 2 = 180° add like terms
10x - 10 = 180 add 10 from both sides
10x = 190 divide both sides by 10
x = 19
angle R is x - 2 so if we replace x with the value we found
m<R = 19 - 2 = 17°
Create an expression that uses subtraction, division, and at least one exponent and simplifies to 6.
Answer:
6 itself
Or, (8-2) ÷ 1³ = 6
Step-by-step explanation:
Below is the hint to above answer!
(6- 0) ÷ 1³= 6
Answer:
(6×9)÷\(3^{2}\)=6
y=-4x+6
3x + 4y = -2
Is (2, 2) a solution of the system?
Choose 1 answer:
- Yes
- No
Answer:
No because the first one will get an answer of -2 while the second one will get an answer of 14
Step-by-step explanation:
Hope This Helped
Answer:
no
Step-by-step explanation:
To solve this we can plug in 2 for x and 2 for y and see if the equations are true
we have
2= -4(2)+6
2= -8+6
2= -2
this is false, the answer is no
When asked to rewrite $364 + 728 as a product of the GCF and the sum of two numbers a student wrote 364 (1 + 2) is the student correct why or why not?
Answer: The student got the wrong answer. ✅
Step-by-step explanation: When you add 364 and 728 together, you get 1092. To make it easier to understand, it is like having 3 piles of 100, 6 piles of 10, and 4 ones on one side, and 7 piles of 100, 2 piles of 10, and 8 ones on the other side, when you put them together you get 10 piles of 100, 8 piles of 10 and 12 ones.
To find the biggest number they have in common, you can divide both numbers by 2 and you get 182 and 364.
So the correct way to rewrite 364 + 728 is 364 * (3+2) ✅
What is the nearest ten of 741?
The nearest ten of 741 is 740.
The number system or the numeral system is the system of naming or representing numbers. We know that a number is a mathematical value that helps to count or measure objects and it helps in performing various mathematical calculations.
In mathematics, there are various number systems such as the decimal number system, binary number system, octal number system, and hexadecimal number system.
Round the number to the nearest ten. 741 is between 740 and 750.
Looking at the 1 in the one's place. It's less than 5, so round down to 740.
Thus, the nearest ten of 741 is 740.
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An equation parallel to y = – 3x + 2 through (2,3)
Answer:
y = -3x+9
Step-by-step explanation:
Parallel lines have the same slope
y = -3x+2
This is in slope intercept form where y =mx+b where m is the slope
The slope is -3
y = -3x+b
Using the point (2,3)
3 = -3(2)+b
3 = -6+b
Add 6 to each side
3+6 = b
9=b
y = -3x+9
Answer:
slope (m) = -3
3= -3(2)+b
b = 9
y=mx+b → y= -3x+9
OAmalOHopeO
Factor the trinomial below over the integers. 15x6-29x?+ 12 Select one: a. b (sx?- 3)(3x"".4) ?- O b. (sx?- 3)(3x?+4) O c. (5x+3)(3x + 4) 3 O d. (sx?+ 3)(xx°- 4) 3x (3x?- 5)(3x + 4) C. + . + e.
The correct factorization of the trinomial 15x^2 - 29x + 12 over the integers is option a: (5x - 3)(3x - 4).
To factor the trinomial, we need to find two binomial factors whose product equals the given trinomial. We can use the factoring method by grouping or the quadratic formula, but in this case, we can factor the trinomial by using a combination of factors of 15 and factors of 12 that add up to -29.
The factors of 15 are 1, 3, 5, and 15, while the factors of 12 are 1, 2, 3, 4, 6, and 12. By trying different combinations, we find that -3 and -4 are suitable factors. Therefore, we can rewrite the trinomial as (5x - 3)(3x - 4), which corresponds to option a. This factorization is obtained by expanding the product of the two binomials.
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barry wrote 6 different numbers, one on each side of 3 cards, and laid the cards on a table, as shown. the sums of the two numbers on each of the three cards are equal. the three numbers on the hidden sides are prime numbers. what is the average of the hidden prime numbers?
The average of the three hidden prime numbers is 5, as the sum of any two of the numbers is equal to 10, and since all three numbers are prime, the only possible values are 3, 5, and 7.
3 + 5 + 7 = 15
15/3 = 5
The average of the three hidden prime numbers is 5. This means that the sum of any two of the numbers on the cards must be equal to 10. Since all three numbers are prime,as the sum of any two of the numbers is equal to 10 the only possible values are 3, 5, and 7. Therefore, the three numbers on the hidden sides of the cards are 3, 5, and 7. To calculate the average, we add the three values together and divide by three. 3 + 5 + 7 = 15, and 15 divided by 3 is 5. Therefore, the average of the hidden prime numbers is 5.
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Find the area of a circle with a diameter of 36 mm. Use 3.14 for
area: about
2
mm
Answer:
Area = 4073.1429 mm²
Step-by-step explanation:
Input Data :
Radius = 36 mm
Objective :
Find the area of the circle.
Solution :
Area = πr2
= 3.14 x (36)2
= 3.14 x (1296)
Area = 4073.1429 mm²
Watch help video
Find the length of the third side. If necessary, round to the nearest tenth.
Answer:
5.3
Step-by-step explanation:
Using the Pythagorean theorem \(a^{2}+b^{2}=c^{2}\) with the length of the two legs of the right triangle for a and b and the hypotenuse length for c, you can solve this equation.
First, lets call the unknown side x. Plugging in all of the value we have into the equation we get \(x^{2} +6^{2}=8^{2}\). This is the same as \(x^{2} +36=64\).
The next step is to solve for x. Subtract 36 from both sides of the equation to get \(x^{2} =28\). Then, take the square root of both sides to get \(x=\sqrt{28}\).
Finally, since you need a rational answer, put \(\sqrt{28}\) into a calculator and round to the nearest tenth for 5.3
Gary wants to buy a video game with a selling price of $48, on sale for 50% off. The sales tax in his state is 4.5%. How much does will Gary have to pay in all? If he has $25, can he afford to purchase the game?
Answer:
i. $26.16ii. He cannot afford the video gameStep-by-step explanation:
Step one:
given
selling price = $48
discount is 50%
tax= 4.5%
Step two:
let us first compute the amount in discount
=50/100*48
=0.5*48
=$24
also, let us compute the tax added
=4.5/100*48
=0.045*48
=$2.16
The total amount Garry has to pay is
=48-24+2.16
=$26.16
Step three:
If he has $25, he cannot afford the video game, he will have a deficit of $1.16
Answer: Gary will have to pay $25.08 in all, and if he has exactly $25, he can't afford to purchase the game because he only has $25, and he has to pay $25.08. $25.08 is more than $25, so he can't afford the game.
Step-by-step explanation:
First, subtract the $48 and 50% to find how much the video game costs.
So, $48-50%=24
Then, add the price of the video game, $24, to the 4.5% tax.
24+4.5%=25.08
Thus, Gary will need to pay $25.08 in all.