Answer:
A
Step-by-step explanation:
I just saw that the median was 44, and it only displays that for A :P
Ajar contains four blue marbles and two red marbles. Suppose you choose a marble at random, and do not replace it. Then you choose a second marble.
K Find the probability of the following event.
Both of the selected marbles are red.
The probability that both of the selected marbles are red is
(Round to three decimal places as needed.)
Answer:
1/15 or 0.0667
Step-by-step explanation:
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bardai
chatgpt
red marble on the first draw is 2/6, or 1/3
red marble on the second draw, given that the first marble was red, is 1/5
(1/3) * (1/5) = 1/15
Order these numbers from least to greatest.
6.23, -√38, -6.5, -19/3
Answer:
Step-by-step explanation:
In a survey 18 out of 50 people say their favorite type of movie is an action movie write the value as a percent
Answer:
The percentage of 18 people out of 50 is 36 %
Step-by-step explanation:
The percentage refers to the per hundred or hundredths and is ended with the symbol %. By dividing two amounts, ratios and percentages are both used to compare the two amounts.
The formula for finding the percentage is to divide the value by the total value and then multiply the value by 100.percentage = ( given value / total value ) x 100so,
The given value is 18 people.The total value is 50 people.percentage = ( 18 / 50 ) x 100 = ( 0.36 ) X 100 = 36 %Therefore the percentage of 18 people out of 50 people is 36 %.
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Find the surface area of each pyramid. Round to the nearest tenth if necessary.
triangular pyramid: base side lengths, 6 yd; base height: 5.2 yd; slant height, 11.7 yd
a.
136.5 yd2
b.
90.7 yd2
c.
226.2 yd2
d.
120.9 yd2
The total surface area of the triangular pyramid will be 106.86 yd².
What is the surface area of triangular pyramid?The formula to calculate the total surface area of a triangular pyramid is -
T.S.A. = \(\frac{1}{2}\)(a × b) + \(\frac{3}{2}\)(b × s).
Given is a triangular pyramid with dimensions -
base side lengths : 6 yd base height : 5.2 ydslant height : 11.7 ydThe total surface area of the triangular prism will be -
T.S.A. = \(\frac{1}{2}\)(a × b) + \(\frac{3}{2}\)(b × s).
T.S.A. = 1/2(5.2 x 6) + 3/2(5.2 x 11.7)
T.S.A. = 31.2/2 + 182.52/2
T.S.A. = 15.6 + 91.26
T.S.A. = 106.86 yd²
Therefore, the total surface area of the triangular pyramid will be 106.86 yd².
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вычислите: 1) 1/2×2/3×3/4-2/3×3/4×4/5-3/4×4/5×5/6
Answer:
= -13 / 20
Step-by-step explanation:
There are 35 boys in band and 49 girls in band Ryan says the boys to girls is 5 to 7 is he correct or incorrect show how he is correct or incorrect
Answer:
He is correct.
Step-by-step explanation:
\(\frac{35}{49} =\frac{5}{7}\)
Mr. Smith has 3 packs of pencils with 15 pencils in each pack. There are 32 students in mr.smith's class. He gives each student 1 pencil. How many pencils does mr.smith have left?
Answer:
13
Step-by-step explanation:
He starts with 45 pencils (3x15) in total. Then he gives 32 to each student. He is left with 13 (45-32) pencils.
A tire is 22 inches in diameter and rests on a platform that is 4 inches above the ground. The six o’clock position on the tire is level with the platform. A piece of gum stuck to the three o’clock position of the tire completed 1 full revolution in 12 seconds. The function h(t) gives the height of the piece of gum in inches above the ground t seconds after the tire begins to turn. Find a formula for the height function h(t)
Answer:
h(t) = 11 * sin(π/6 * t) + 15
Step-by-step explanation:
To find the height function h(t) for the piece of gum, we'll use a sinusoidal function since the height of the gum changes in a periodic manner as the tire rotates. The general formula for a sinusoidal function is:
h(t) = A * sin(B * (t - C)) + D
where A is the amplitude, B is the angular frequency, C is the horizontal shift, and D is the vertical shift.
1. Amplitude (A): The amplitude is half the distance between the highest and lowest points of the gum. Since the diameter of the tire is 22 inches, the radius is 11 inches. Thus, the amplitude is 11 inches.
2. Angular frequency (B): Since the gum completes 1 full revolution in 12 seconds, the period of the function is 12 seconds. The angular frequency, B, is found by dividing 2π by the period: B = 2π / 12 = π/6.
3. Horizontal shift (C): Since the gum starts at the three o'clock position, and we want the height to be at its maximum at t = 0, there is no horizontal shift. So, C = 0.
4. Vertical shift (D): The platform is 4 inches above the ground, and the radius of the tire is 11 inches. Therefore, the midpoint of the gum's motion is 4 + 11 = 15 inches above the ground. So, D = 15.
Now we can write the height function h(t):
h(t) = 11 * sin(π/6 * t) + 15
A survey was given to a random sample of the residents of a town to determine whether they support a new plan to raise taxes in order to increase education spending. The survey reported a confidence interval that between 22% and 32% of the residents supports the plan. What is the margin of error on the survey? Do not write ± ± on the margin of error.
Answer:
\(\Huge \bold{\boxed{\boxed{\text{5\%}}}}\)
Step-by-step explanation:
To calculate the margin of error for the survey, we need to use the formula:
\(\large \text{Margin of error} = \large \text{$\frac{\text{Range of values}}{2}$}\)
The range of values is the difference between the upper and lower bounds of the interval. In this case, the lower bound is 22% and the upper bound is 32%, so the range of values is:
\(\large \text{Range of values = 32\% - 22\% = 10\%}\)
Substituting this value into the formula, we get:
\(\large \text{Margin of error = $\frac{10\%}{2}$ = 5\%}\)
Therefore, the margin of error on the survey is 5%.
Gravity acceleration at the Earth surface is 9.81 m/s². What is the acceleration in inches/s² (rounded to the nearest tenth) ?
Rounded to the nearest tenth, the acceleration in inches per second squared is approximately 15222.8 in/s².
To convert the acceleration from meters per second squared (m/s²) to inches per second squared (in/s²), we need to use the conversion factor between the two units.
1 meter is equal to 39.37 inches.
To convert the units, we can set up the following conversion factor:
1 m/s² = (39.37 in/m)^2 = 1550.0031 in/s²
Now, we can multiply the given acceleration in m/s² by the conversion factor to obtain the acceleration in in/s²:
Acceleration in in/s² = 9.81 m/s² * 1550.0031 in/s²
Acceleration in in/s² ≈ 15222.7568 in/s²
Rounded to the nearest tenth, the acceleration in inches per second squared is approximately 15222.8 in/s².
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An item is regularly priced at $67. It is now priced at a discount of 85% off the regular price.
Use the ALEKS calculator to find the price now.
s()
Х
$
?
The new price of an item is 10.05 dollars.
What is discount?A discount is the reduction of either the monetary amount or a percentage of the normal selling price of a product or service.
Given that, an item is regularly priced at $67 and the discount=85%.
Here, new price = Old price - 85% of Old price
= 67- 85% of 67
= 67 - 0.85×67
= 10.05
Therefore, the new price of an item is 10.05 dollars.
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which graph represents the function h(x)=2sin(x+pi/2)-1 ?
This graph represents the function h(x)=2sin(x+π/2)-1.
What is graph?
A graph can be defined as a pictorial representation or a diagram that represents data or values.
This graph represents the function h(x)=2sin(x+π/2)-1.
The range is the set of values that correspond with the domain.
Domain of graph: (−∞,∞),{x|x∈R}
Range of graph: [−3,1],{y|−3≤y≤1}
Use the form asin (bx−c)+d to find the amplitude, period, phase shift, and vertical shift.
Amplitude: 2
Period: 2π
Phase Shift: −π/2 (π/2 to the left)
Vertical Shift: −1
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at the movies three candy bars and two sodas cost $14.00. Four candy bars and three sodas cos $19.50. How much is the soda?
The cost of a soda is $2.50. By solving the system of equations formed from the given information, the value of S is determined to be 2.50.
To find the cost of the soda, let's set up a system of equations using the given information. Let's assume the cost of a candy bar is represented by 'C' and the cost of a soda is represented by 'S.'
From the first statement, we can write the equation:
3C + 2S = 14.00 ----(Equation 1)
From the second statement, we can write the equation:
4C + 3S = 19.50 ----(Equation 2)
To solve the system of equations, we can use a method called substitution. Rearranging Equation 1, we get:
S = (14.00 - 3C) / 2
Substituting this expression for S into Equation 2, we have:
4C + 3((14.00 - 3C) / 2) = 19.50
Simplifying this equation, we get:
4C + (42.00 - 9C) / 2 = 19.50
8C + 42.00 - 9C = 39.00
-C + 42.00 = 39.00
-C = 39.00 - 42.00
-C = -3.00
C = 3.00
Now we can substitute the value of C back into Equation 1 to find the value of S:
3(3.00) + 2S = 14.00
9.00 + 2S = 14.00
2S = 14.00 - 9.00
2S = 5.00
S = 5.00 / 2
S = 2.50
Therefore, the cost of a soda is $2.50.
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At an amusement park, riders must be at least 48 inches tall to ride the Night Eagle roller coaster. Keenan has grown 1.5 inches since last summer, but he is still too short to ride. Let x represent how tall Keenan was last summer. Which inequality describes the problem?
The inequality that describes the given word problem is;
x + 1.5 < 48
How to solve Inequality word problems?Let x represent how tall Keenan was last summer. Thus;
x = Keenan's height last summer in inches
If he was x inches last summer, and has since grown an additional 1.5 inches up to date, then it means that his total height now is;
x + 1.5 inches.
The conditons state "riders must be at least 48 inches tall to ride the Night Eagle roller coaster". So it means that his height must be equal to 48 inches, or larger than 48 inches, to make him eligible to ride the roller coaster.
But since he is still too short to ride, this means the expression x+1.5 is smaller than 48 and as such the inequality of this problem is;
x + 1.5 < 48
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(4)/(9)((3)/(2)z^(2)y^(3))^(5)
???
how do i do this ??
Answer:
The expression can be solved using algebraic methods. The result is -(2^7)z^2y^3.
Step-by-step explanation:
The solution to the equation 4/(9)((3/2)z^2y^3)^5 is y^15z^10. This can be solved by using the steps of algebraic manipulation. First, the parentheses can be simplified by multiplying the numerator and denominator together, resulting in 4/27z^2y^3. Then, the exponent can be applied to both terms, resulting in y^15z^10. Finally, this answer can be checked by substituting it into the original equation and verifying that it is true.
Perry performs a study to determine the average number of flowers on gardenia bushes at a plant nursery. Which will produce the most representative results?
a sample of the first 20 gardenia bushes near the entrance
a sample of every other gardenia bush in the shade
a sample of every other gardenia bush in full sun
a sample of 10 gardenia bushes in the shade and 10 in full sun
Answer:
d
Step-by-step explanation:
this is the correct answer on edge people.
A sample of 10 gardenia bushes in the shade and 10 in full sun will help us determine the most representative result.
What is scientific testing ?"Scientific testing involves figuring out what we would expect to observe if an idea were correct and comparing that expectation to what we actually observe.
Any aspect of the natural world could be explained in many different ways. It is the job of science to collect all those plausible explanations and to use scientific testing to filter through them, retaining ideas that are supported by the evidence and discarding the others."
Hence,
from the definition it is clear that a sample of 10 gardenia bushes in the shade and 10 in full sun.
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PLEASE HELP!!!!!
will mark brainliest!!!!!
Answer:
fx =1; then fx =2; then fx =4
Step-by-step explanation:
then plug the coordinates in as x is horizontal bar in top right then the fx
Los dueños de un restaurante exitoso quieren un préstamo de $50,000 para renovar la cocina y ampliar el comedor. Esperan que las mesas extra agreguen entre $2,000 y $5,000 a los ingresos mensuales del restaurante. El banco está dispuesto a permitir que la empresa tenga un préstamo a plazo intermedio de $50 000 durante cinco años a una tasa de interés del 6,5 por ciento. Calcule el pago mensual y explique si tomar este préstamo es una decisión comercial inteligente.
The monthly Payment for the loan is approximately $271.24.
To calculate the monthly payment for the loan, we can use the formula for calculating the monthly payment on an intermediate-term loan. The formula is:
Monthly Payment = (Loan Amount * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))
Given:
Loan Amount = $50,000
Interest Rate = 6.5% per year
Number of Years = 5
First, we need to convert the annual interest rate to a monthly interest rate. Since there are 12 months in a year, the monthly interest rate is:
Monthly Interest Rate = (6.5% / 100) / 12 = 0.00541667
Plugging in the values into the formula, we get:
Monthly Payment = ($50,000 * 0.00541667) / (1 - (1 + 0.00541667)^(-5 * 12))
= $271.24
Therefore, the monthly payment for the loan is approximately $271.24.
The owners of the restaurant want to use the loan to renovate the kitchen and expand the dining room, which they expect will generate additional monthly revenue between $2,000 and $5,000.
If we assume a conservative estimate of $2,000 per month in additional revenue, the loan payment of $271.24 represents approximately 13.56% of the additional revenue. This means that the owners would still have a significant portion of the additional revenue available for other expenses or profit.
On the other hand, if we consider the higher estimate of $5,000 per month in additional revenue, the loan payment would represent only about 5.42% of the additional revenue, leaving a substantial amount of money for other purposes.
Considering these calculations, it appears that taking this loan is a smart business decision. The monthly payment is manageable and leaves a significant portion of the additional revenue for the restaurant's operation and potential profit. However, it is essential for the owners to ensure that the projected additional revenue is realistic and sustainable to cover the loan payment and other business expenses.
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7696 divided by 52 with remainder
Answer:148 with no remainder
Step-by-step explanation:
The number 7696 is called the numerator or dividend, and the number 52 is called the denominator or divisor.
The quotient of 7696 and 52, the ratio of 7696 and 52, as well as the fraction of 7696 and 52 all mean (almost) the same:
7696 divided by 52, often written as 7696/52 is 148 with not decimals meaning that there is no remainder
Hope you have a wonderful day and may your dreams come true!
lfu29
When 7696 divided by 52 then quotient is 148 and remainder is 0.
When you divide 7696 by 52, the quotient is the whole number result of the division, and the remainder is the amount left over.
Let's perform the division:
148 (quotient)
______________
52 | 7696
7696
-----
000
The quotient is 148, and the remainder is 0.
So, 7696 divided by 52 is equal to 148 with a remainder of 0.
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8.1 CHECK YOUR UNDERSTANDING - TURN ME IN!
1. A recent Pew Research center poll asked a random sample of teens "In general, how much time would you say
you spend with your friends in person." 36 % of the 739 respondents said "too little". We will estimate the
population proportion with 99% confidence.
a) Interpret the confidence level.
36%
b) Construct and interpret a 99% confidence interval for the population proportion.
If you created a 95% confidence interval instead, would it be narrower or wider? Explain.
c) if you created a 95% confidence interval instead would it be narrower or wider
AP STATS
a) The confidence level of 99% means that we are 99% sure that the interval contains the true population proportion.
b) The 99% confidence interval for the population proportion is given as follows: (0.3145, 0.4055). It means that we are 99% sure that the true population proportion is between 0.3145 and 0.4055.
c) The 95% confidence interval would be narrower, as it would have a lower critical value, thus the margin of error would also be lower.
What is a confidence interval of proportions?A confidence interval of proportions has the bounds given by the rule presented as follows:
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which the variables used to calculated these bounds are listed as follows:
\(\pi\) is the sample proportion, which is also the estimate of the parameter.z is the critical value.n is the sample size.The confidence level is of 99%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.99}{2} = 0.995\), so the critical value is z = 2.575.
The parameters for this problem are given as follows:
\(\pi = 0.36, n = 739\)
The lower bound of the interval is given as follows:
0.36 - 2.575 x sqrt(0.36 x 0.64/739) = 0.3145.
The upper bound of the interval is given as follows:
0.36 + 2.575 x sqrt(0.36 x 0.64/739) = 0.4055.
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If f(x) = 2x^2 + 4x + 7, find f'(-5), using the definition of derivative. f'(-5) is the limit as x → -5
of the expression ?
The value of this limit is ?
Using the limit definition of the derivative, you have
\(\displaystyle f'(-5) = \lim_{x\to-5} \frac{f(x) - f(-5)}{x - (-5)} = \lim_{x\to-5} \frac{(2x^2+4x+7) - 37}{x + 5}\)
Simplify the numerator:
(2x ² + 4x + 7) - 37 = 2x ² + 4x - 30
… = 2 (x ² + 2x - 15)
… = 2 (x + 5) (x - 3)
Then
\(\displaystyle f'(-5) = \lim_{x\to-5}\frac{2(x+5)(x-3)}{x+5} = \lim_{x\to-5} 2(x-3) = \boxed{-16}\)
• • •
For your second question in the comments, if f(x) = -2x ² + 3x - 7, then by the definition of the derivative, you have
\(\displaystyle f'(x) = \lim_{h\to0}\frac{f(x+h)-f(x)}h = \lim_{h\to0}\frac{(-2(x+h)^2+3(x+h)-7) - (-2x^2 + 3x - 7)}h\)
Simplify the numerator:
(-2 (x + h)² + 3 (x + h) - 7) - (-2x ² + 3x - 7)
… = (-2x ² - 4xh - 2h ² + 3x + 3h - 7) - (-2x ² + 3x - 7)
… = -4xh - 2h ² + 3h
Now compute the limit:
\(\displaystyle f'(x) = \lim_{h\to0}\frac{-4xh-2h^2+3h}h = \lim_{h\to0}(-4x-2h+3) = \boxed{-4x+3}\)
A straight line is given as 2 x+4 -2 y-5=-3 z-6 (a) Determine the vector equation of the straight line. (b) Find the intersection point between the straight line with the plane yz
Answer:
a) r(t) = (10, 5, -5) + (5, 5, 0)*t
b) (0, -5, -5)
Step-by-step explanation:
a) 2x + 4 -2y -5 = -3z -6
2x - 2y +3z +5 =0
(10, 5, -5)
(15, 10, -5)
(5, 5, 0)
r = (10, 5, -5) + (5, 5, 0)*t
b) The yz plane is given by the equation x = 0.
x = 0 in the vector equation of a straight line if and only if t = -2, than r ( - 2) = (0, -5, -5) is the desired intersection point.
Please help me with the problem below!
I will give brainliest and 50 points.
Answer: Bro there nothing to answer??? there is no problem below???
Step-by-step explanation:
Find the volume of a pyramid with a square base, where the side length of the base is
10.6
in
10.6 in and the height of the pyramid is
12.3
in
12.3 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
V = 460.68
Step-by-step explanation:
V=(lwh)/3
Analysis showed that the mean arrival rate for vehicles at a certain Shell station on Friday afternoon last year was 4.5 vehicles per minute. How large a sample would be needed to estimate this year's mean arrival rate with 98 percent confidence and an error of ± 0.5?
Answer:
25
Step-by-step explanation:
use a Poisson process to model the arrival.
the mean rate of arrivals is λ=4.5
The standard deviation is calculated as:
σ==√λ =2.1213
The z-value for a 98% CI is z=2.3262.
If the 98% CI has to be within a error of 0.5 then:
Ul-Ll=2z*σ/√n=2*0.5=1
√n=z*σ=2.3262*2.1213=4.9346
√n=4.9346 and n = 4.9346^2=24.35 rounded to 25
The sample size needed is n=25.
need help with this ASAP
!!!!!!!!!!!!!!!!!!!!!!!!
The fence in dead center is about 399 feet from the third base.
What is the Pythagorean Theorem?The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side, is equals to the sum of the squares of the lengths of the other two sides.
Hence the equation for the theorem is given as follows:
c² = a² + b².
In which:
c > a and c > b is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.For the triangle in this problem, we have that:
The sides are d ft and 90 ft.The hypotenuse is of 409 ft.Hence the distance is obtained as follows:
d² + 90² = 409²
\(d = \sqrt{409^2 - 90^2}\)
d = 399 ft.
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what is the length of an arc that subtends a central angle of 75 degrees in a circle whose radius is 5 inches. round off your answer to nearest whole number
Use the next formula to find the length of the arc
\(S=r\cdot\theta\)Where r is the radius, theta is the angle in radians and s is the length of the arc.
The first step is to convert the angle from degrees to radians.
\(75deg\cdot\frac{\pi rad}{180deg}=1.31rad\)Now, replace the given values and find the length of the arc
\(\begin{gathered} S=5in\cdot1.31rad \\ S=6.55\approx7 \end{gathered}\)The length of the arc is 7 inches.
Is it possible to partition an arbitrary right triangle into isosceles triangles? Justify your answer.
please answer asap :)
Answer:
yes
Step-by-step explanation:
An arbitrary right triangle can be partitioned into isosceles triangle by drawing a median from the right angle to the hypotenuse.
What is Right Angled Triangle?Right angled triangle are those triangle for which one of the angle is 90 degrees.
Let's take a right angled triangle ΔABC.
Let C be the right angle in this triangle.
Then AB will be the longest side of the triangle, which is the hypotenuse.
Median of a triangle is the line segment joining the vertex to the midpoint of the opposite side of the triangle.
Suppose we draw a median from C to the midpoint of AB intersecting AB at a point P.
Then there are two triangles formed ΔAPC and ΔBPC.
AP = BP since P is the midpoint of AB.
PC = PC is the common side for both triangles.
So ΔAPC and ΔBPC are isosceles triangles, because two sides are equal.
Hence any right triangle can be partitioned into two isosceles triangles this way.
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A 80-foot escalator rises a vertical distance of 40 feet. What is the measure of the angle identified with a question mark on the diagram?
The measure οf the angle in the right angle triangle is 60 degrees.
Hοw tο find the angle οf a right triangle?A 80-fοοt escalatοr rises a vertical distance οf 40 feet. The measure οf the angle identified in the picture can be calculated as fοllοws:
The diagram is a right angle triangle. The angle measure can be fοund using trigοnοmetric ratiοs as fοllοws:
Therefοre,
cοs ∅ = adjacent / hypοtenuse
adjacent side = 40 feet
hypοtenuse side = 80 feet
cοs ∅ = 40 / 80
cοs ∅ = 1 / 2
∅ = cοs⁻¹ 0.5
∅ = 60 degrees
Therefοre, the measure οf the angle is 60 degrees.
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liz has 9 buttons. kristen has b more buttons than liz choose the expression that shows how many buttons kristen has. A. b - 9. B. 9 + b. C. 9. D. 9 - b
Answer:
B. 9+b
Step-by-step explanation:
if b represents the number of buttons more than 9, then you just have to add 9 to that and you get your equation.
This explanation made better sense in my head...