Answer:
b
Step-by-step explanation:
The spinner to the right is spun 20 times. It lands on red 6 times, yellow 2 times, green 8 times, and blue 4 times.
Based on the data, what is the experimental probability of landing on yellow?
You may give your answer as a simplified fraction, decimal, or percent.
Answer:
1/10 or 0.10 or 10%
Step-by-step explanation:
Based on the data given, the spinner landed on yellow 2 times out of the 20 times it was spun. Therefore, the experimental probability of landing on yellow, based on the data, is 2/20. If you simplify this, it is 1/10, which is 0.10 as a decimal and 10% as a percent.
Hope this helps! :)
PLEASE HELP I HAVE 5 minutes I will mark as brilliant
Answer:
3x - 6
Step-by-step explanation:
A clay specimen, 25 mm thick, has been tested in an oedometer apparatus with two way rainage, and it is observed that 50% of the consolidation settlement occurs in 1 hour. A ayer of the same clay is observed to settle 10 mm in 10 years and after many years to settle (total primary consolidation) by 35 mm. Determine the thickness of the clay layer if it drains only from upper surface
The thickness of the clay layer, which drains only from the upper surface, can be determined based on the consolidation settlement observations. With 50% of consolidation settlement occurring in 1 hour for a 25 mm thick specimen, and a total primary consolidation settlement of 35 mm occurring over many years, the thickness of the clay layer is approximately 87.5 mm.
The consolidation settlement of a clay specimen can be used to estimate the thickness of a clay layer that drains only from the upper surface. In this case, the observed settlement data provides valuable information.
Firstly, we know that 50% of the consolidation settlement occurs in 1 hour for a 25 mm thick clay specimen. This is an important parameter for calculating the coefficient of consolidation (Cv) using Terzaghi's theory. From the Cv value, we can estimate the time required for full consolidation settlement.
Secondly, we are given that the same clay settles 10 mm over 10 years and eventually settles a total of 35 mm over a longer period. This long-term settlement is known as the total primary consolidation settlement. By comparing this settlement value with the settlement data from the oedometer test, we can determine the thickness of the clay layer.
To calculate the thickness, we can use the concept of the consolidation settlement ratio. The ratio of the total primary consolidation settlement to the consolidation settlement at 50% completion is equal to the ratio of the total thickness to the thickness at 50% completion. Applying this ratio, we can determine that the thickness of the clay layer, which drains only from the upper surface, is approximately 87.5 mm.
To learn more about thickness click here: brainly.com/question/23622259
#SPJ11
Simplify 5(2y-3k)+4(3k-y)
Answer:
−3k+6y
Step-by-step explanation:
Apply the distributive property.
5(2y)+5 (−3k)+4(3k−y)
Multiply 2 by 5.
10y+5(-3k)+4(3k−y)
Multiply −3 by 5.
10y−15k+4(3k−y)
Apply the distributive property.
10y−15k+4(3k)+4(−y)
Multiply :3 by 4
10y−15k+12k+4(−y)
Multiply: −1 by 4
10y−15k+12k−4y
Simplify by adding terms.
Subtract: 4y from 10y
−15k+12k+6y
Add: −15k and 12k
−3k+6y
Find the regression equation, letting the first variable be the predictor (x) variable. Find the best predicted Nobel Laureate rate for a country that has 78.2 Internet users per 100 people. How does it compare to the country's actual Nobel Laureate rate of 1.6 per 10 million people? LOADING... Click the icon to view the data. Find the equation of the regression line. y=nothing+(nothing)x (Round the constant to one decimal place as needed. Round the coefficient to three decimal places as needed.) The best predicted number of Nobel Laureates when the number of internet users per 100 is 78.2 is nothing. (Round to one decimal place as needed.)How does it compare to the country's actual Nobel Laureate rate of 1.6 per 10 million people? A. The best predicted value is very close to the actual Nobel Rate. B. The best predicted value is not at all close to the actual Nobel Rate. C. The best predicted value is the opposite of the actual Nobel Rate. D. The best predicted value is equal to the actual Nobel Rate.
Answer: the answe is not at all close to the actual Nobel rate.
Step-by-step explanation:
how did u.n. resolution 1373 (discussed on pg. 231) further enhance the president’s ""imperial"" powers under president george w. bush?
The U.N. Resolution 1373 further enhanced the President's "imperial" powers under President George W. Bush by providing him with the authority to take necessary actions to protect American national security.
Additionally, it permitted the use of force to deter terrorism and included measures to prevent terrorist financing and money laundering. Resolution 1373 reinforced the Presidential powers in various ways. Firstly, it authorized the President to utilize all appropriate military power to prevent and respond to acts of international terrorism. It allowed the President to seize and freeze assets that are believed to belong to terrorist groups, and it required states to stop providing sanctuary for terrorists and dismantle terrorist networks. Additionally, it permitted the President to take necessary measures to ensure that terrorists were not allowed to enter or transit their territories. Finally, Resolution 1373 obliged all states to cooperate fully in the struggle against terrorism by sharing information about terrorist activities with other states and exchanging financial and travel information.
Know more about U.N. Resolution 1373 here:
https://brainly.com/question/29840969
#SPJ11
the _____ of a trapezoid is a segment whose endpoints are the midpoints of its legs.
Answer:
The segment that connects the midpoints of the legs of a trapezoid is called the median of the trapezoid.
Step-by-step explanation:
Keith is in a hot air balloon that is 200
feet above the ground and is ascending
1-feet per second. Erica is in a hot air
balloon that is 548 feet above the ground and
is descending 1 feet per second. After how
many seconds will the hot air balloons be the
same number of feet above the ground?
2
5
A. 52 seconds
B. 120 seconds
C. 174 seconds
D. 3,480 seconds
Answer:
C 174
Step-by-step explanation:
Add 548 + 200 = 748
748 ÷ 2 = 374
548 - 374 = 174
374 - 200 = 174
Hopes this helps :)
The hot air balloons be the same number of feet above the ground after 174 seconds.
What is ascending order?Putting numbers in ascending order simply means to do it from smallest to largest.
Given, Keith is in a hot air balloon that is 200 feet above the ground and is ascending 1-feet per second. Erica is in a hot air balloon that is 548 feet above the ground and is descending 1 feet per second.
To find the same point above the ground;
the average = (200 + 548) / 2
= 374 feet
That means Keith at 200+174 = 374 feet above the ground same as Erica 548 - 174 = 374 feet.
Therefore, after 174 seconds, the hot air balloons be the same number of feet above the ground.
To learn more about the ascending order;
https://brainly.com/question/20681445
#SPJ2
pls help
what is the surface area of this triangular prism in square units
What are your answer choices?
Triangle lmn has coordinates l (0, 0), m (0, -2), and n (2, 0). if δlmn ≅ δxyz, what is the measure of xz? 1 unit 2 units 3 units 4 units
Answer:
It is 2 units
Step-by-step explanation:
Karen rode her bicycle at a constant rate, as shown in the graph below. At what rate did Karen ride her bicycle?
Answer:
B
Step-by-step explanation:
roughly rides 8 miles perhour
the first 4 questions
Answer:
(3)(4)(4)(2)Step-by-step explanation:
1.
7 > 0.7 > 0.07 > 0.007
2.
5h - 15hg
taking 5h common
5h (1 - 3g)
3.
5(2x- 1) = 35
dividing both sides by 5
2x - 1 = 7
2x = 7 + 1
2x = 8
x = 4
4.
if x is an odd number x + 2 will also be odd.
for example
11 is an odd number
on adding 2 we get 13 which is also an odd number.
What is the inverse of the logarithmic function
f(x) = log gX
Answer:
An exponential function. \(f(y) = g^{y}\)
Step-by-step explanation:
The inverse of the logarithmic function is an exponential function.
\(f(x) = \log_{g} x\)
\(g^{f(x)} = x\)
\(g^{y} = f(y)\)
\(f(y) = g^{y}\)
Shantel buys a bag of cookies that contains 5 chocolate chip cookies, 6 peanut butter cookies, 5 sugar cookies and 8 oatmeal cookies. what is the probability that shantel randomly selects a peanut butter cookie from the bag, eats it, then randomly selects a chocolate chip cookie?
Answer:
6 out of 24
Step-by-step explanation:
5+5+6+8 = 24
there are 6 peanut butter cookies
In all there are 24 cookies
Since there are 6 peanut butter cookies since there are 24 cookies there is a chance of 6 and 24 of getting a peanut butter cookie.
Rewrite the following equation in slope-intercept form. Y + 5 = 1 7 ( x + 7 )
Answer: y = 17x + 114
Step-by-step explanation:
The equation for the slope-intercept form is y = mx + b.
Arrange the equation so that it resembles y = mx + b.
You will do this by multiplying and subtracting so y is on the left side of the equation and mx + b is on the right side of the equation.
y + 5 = 17(x + 7)
y + 5 = 17x + 119
y + 5 - 5 = 17x + 119 - 5
y = 17x + 114
Answer:
Y = 17x + 114
Step-by-step explanation:
1. Y + 5 = 17 (x+7)
2. Y + 5 = 17x + 119 [Multiply the numbers in parenthesis by 17.]
3. Y = 17x + 114. [To keep the balance and move the 5 over, subtract it from 119.]
Dan is completing a 60-kilometer run. The diagram below shows what
percent he has run so far.
O km
60 km
H
0%
60 %
100%
How many kilometers has he run so far?
Answer:
36 km
Step-by-step explanation:
60% of 60km
60/100
.6*60=36
36 km
Answer:
The answer is 36km im taking that tes right now
Step-by-step explanation:
PLS HELP WITH SOME ONE THE ANSWER (50 points!)
How does cellular respiration help maintain homeostasis in animals?
Explain why cells separate and expel waste.
Why do cells in organisms such as animals reproduce?
Explain how plant cells use photosynthesis to maintain homeostasis?
How does cellular respiration help maintain homeostasis in animals?
Answer: Cellular respiration helps animals maintain homeostasis by breaking down glucose to produce ATP, which is the energy currency of the cell. ATP is necessary for many cellular processes that help maintain homeostasis such as active transport and protein synthesis.
Explain why cells separate and expel waste.
Answer: Cells separate and expel waste to prevent the accumulation of toxic substances that can disrupt cellular function and lead to disease. The waste products are transported out of the cell and into the bloodstream where they are filtered and excreted by organs such as the kidneys.
Why do cells in organisms such as animals reproduce?
Answer: Cells in organisms such as animals reproduce to replace damaged or dying cells, and to enable growth and development. Reproduction ensures that the organism maintains the proper balance of cells and that there is enough tissue to perform necessary functions.
Explain how plant cells use photosynthesis to maintain homeostasis?
Answer: Plant cells use photosynthesis to maintain homeostasis by converting light energy into chemical energy in the form of glucose. This glucose is then used to produce ATP, which is necessary for cellular processes such as active transport and protein synthesis. Additionally, plants use photosynthesis to produce oxygen, which is necessary for respiration.
I hope this helps :)
simplify
-3m+7-2n+3-m+3m
f. 4mn + 10
g -4m + n + 10
h -4m - n + 10
j -40mn
The simplified form of the expression is -m-2n+10
Simplifying linear equationLinear equation are equation that has a linear degree of 1. Given the following expression
-3m+7-2n+3-m+3m
Collect the like terms
-3m+3m-m-2n+7+3
-m - 2n + 7 + 3
Simplify to finally have:
-m-2n+10
Hence the simplified form of the expression is -m-2n+10
Learn more on simplifying linear equation here: https://brainly.com/question/28293715
#SPJ1
Using a) parabolic coordinates and b) cylindrical coordinates, find the differential unit of length, ds2 = dx2 + dy2 + dz2 and the volume element dV = dxdydz.
Parabolic CoordinatesParabolic coordinates are a coordinate system that can be used to define any point in 2D Euclidean space.
In this system, points are defined by two variables u and v. The parabolic coordinates of a point in 2D Euclidean space can be found using the following equations: x = (u^2 - v^2) / 2y = uvIn this coordinate system, the differential unit of length, ds2, can be found using the equation:ds2 = du2 + dv2 + dx2where du2 and dv2 are the differentials of u and v, respectively, and dx2 is the differential of x. Cylindrical CoordinatesCylindrical coordinates are a coordinate system that can be used to define any point in 3D Euclidean space. In this system, points are defined by three variables r, θ, and z.
The cylindrical coordinates of a point in 3D Euclidean space can be found using the following equations: x = r cos(θ)y = r sin(θ)z = zIn this coordinate system, the differential unit of length, ds2, can be found using the equation:ds2 = dr2 + r2 dθ2 + dz2where dr2 and dθ2 are the differentials of r and θ, respectively, and dz2 is the differential of z. The volume element dV can be found using the equation:dV = r dr dθ dz. Using the above explanations, the differential unit of length, ds2, and the volume element dV for parabolic coordinates and cylindrical coordinates are as follows: For Parabolic Coordinates: ds2 = du2 + dv2 + dx2= du2 + dv2 + [(u2 - v2)/2]2dV = dudvdxdydz = [(u2 - v2)/2] dudvdzFor Cylindrical Coordinates: ds2 = dr2 + r2 dθ2 + dz2= dr2 + r2 dθ2 + dz2dV = rdrdθdzThe above explanations provide the main answer, which is the differential unit of length, ds2 and the volume element dV for parabolic coordinates and cylindrical coordinates.
To know more about Parabolic Coordinates visit:
https://brainly.com/question/18833193
#SPJ11
Question 1
A town's population has been exponentially increasing for the past 10 years. The town council initially recorded the town's
population at 6,000 people and tracked it each year after that. The table represents their data.
Years
1
2
3
4
6
7
8
9
Town Population
(in thousands)
6
Part A
6.9
9
10.5
13
14.2
18
20.8
26
31.3
Use the graphing tool to plot the population data and determine the curve of best fit.
Question
What is the equation of the curve of best fit for the population data?
Enter the correct answer in the box by replacing a and b with the values from the graphing tool. Do not round the values
A and b
The equation of best fit is ŷ = 2.69152X + 3.45818.
From the data we cab write,
Sum of X = 45
Sum of Y = 155.7
Mean X = 4.5
Mean Y = 15.57
Sum of squares (SSX) = 82.5
Sum of products (SP) = 222.05
So, Regression Equation = ŷ = bX + a
Now, b = SP/SSX = 222.05/82.5 = 2.69152
and, a = MY - bMX = 15.57 - (2.69*4.5) = 3.45818
Thus, the equation of best fit is ŷ = 2.69152X + 3.45818.
Learn more about Regression line here:
https://brainly.com/question/7656407
#SPJ1
Two less than 3 times a number is the same as the number plus 10.
(a) Find a nonzero vector orthogonal to the plane through the points P, Q, and R, and (b) find the area of triangle PQR.P(1, 0, 1), Q(-2, 1, 3), R(4, 2, 5)
The vector orthogonal to the plane through the points P, Q, and R is (8, -8, 12), and the area of triangle PQR is \($\sqrt{301}$\).
For part (a), we can find a nonzero vector orthogonal to the plane through the points P, Q, and R by constructing a normal vector to the plane using the cross product of two vectors in the plane. The two vectors in the plane are \($\vec{PQ} = (1- (-2), 0-1, 1-3) = (3, -1, -2)$\) and \($\vec{PR} = (1-4, 0-2, 1-5) = (-3, -2, -4)$\). Taking the cross product of the two vectors gives us the normal vector to the plane, \($\vec{n} = \vec{PQ} \times \vec{PR} = (8, -8, 12)$\). Therefore, the vector orthogonal to the plane is \($\vec{n} = (8, -8, 12)$.\)
For part (b), the area of triangle PQR can be found using the formula for Heron's Formula, which states that the area of a triangle with sides a, b,and c is given by
\($A = \sqrt{s(s-a)(s-b)(s-c)}$\)
where \($s = \frac{a+b+c}{2}$\) . In this case, the sides are \($a = \|\vec{PQ}\| = \sqrt{3^2 + (-1)^2 + (-2)^2} = \sqrt{14}$, $b = \|\vec{QR}\| = \sqrt{(-2-4)^2 + (1-2)^2 + (3-5)^2} = \sqrt{14}$\), and\($c = \|\vec{PR}\| = \sqrt{(-3)^2 + (-2)^2 + (-4)^2} = \sqrt{29}$\). Plugging these values into the formula, we get
\(= \sqrt{s(s-a)(s-b)(s-c)} = \sqrt{\frac{7(7-\sqrt{14})(7-\sqrt{14})(7-\sqrt{29})}{4}} = \sqrt{7(7-\sqrt{14})^2(7-\sqrt{29})} = \sqrt{7(7-\sqrt{14})^2(\sqrt{14}+\sqrt{29})} = \sqrt{7(7-\sqrt{14})^2\sqrt{43}} = \sqrt{301}$\)Therefore, the area of triangle PQR is \($\sqrt{301}$\)
The vector orthogonal to the plane through the points P, Q, and R is (8, -8, 12), and the area of triangle PQR is \($\sqrt{301}$\).
Learn more about area of triangle here:
https://brainly.com/question/19305981
#SPJ4
a)
Multiply:
2y x 6y2 x (-4y)
Answer:
-48y⁴
Step-by-step explanation:
2y × 6y² × (-4y)
-48y⁴
which is the largest mesurement 4200cm^ 54000mmm^3 45 liters or 52000ml
To compare the different measurements, we need to convert them all to the same unit. Let's convert them to liters, which is a commonly used unit of volume.
4200 cm^3 = 4.2 liters (1 liter = 1000 cm^3)
54000 mm^3 = 0.054 liters (1 liter = 1,000,000 mm^3)
45 liters = 45 liters (already in liters)
52000 ml = 52 liters (1 liter = 1000 ml)
So the largest measurement is 52 liters, which corresponds to 52000 ml.
which equations have a rate of change greater than the rate of change for the line shown?
Answer:
y = 5x + 3
The line shown has a rate of change of 2, while y = 5x + 3 has a rate of change of 5.
A procedure for approximating sampling distributions (which can then be used to construct confidence intervals) when theory cannot tell us their shape is:
a) residual analysis.
b) the bootstrap.
c) standardization.
d) least squares.
The procedure for approximating sampling distributions when the shape is unknown is the bootstrap method.
When theory cannot provide information about the shape of the sampling distribution, the bootstrap method is commonly used. The bootstrap is a resampling technique that allows us to estimate the sampling distribution by repeatedly sampling from the original data.
Here's how the bootstrap method works:
1. We start with a sample of data from the population of interest.
2. We randomly select observations from the sample, with replacement, to create a resampled dataset of the same size as the original sample.
3. We repeat this process numerous times, creating multiple resampled datasets.
4. With each resampled dataset, we calculate the statistic of interest (e.g., mean, median, standard deviation).
5. The distribution of these calculated statistics from the resampled datasets approximates the sampling distribution of the statistic.
By generating an empirical approximation of the sampling distribution through resampling, the bootstrap allows us to construct confidence intervals and make statistical inferences even when the underlying distribution is unknown or cannot be determined through theoretical means.
Learn more about sampling here:
https://brainly.com/question/31890671
#SPJ11
Equation C is an example of Distributive Property of Multiplication over Addition. It can be used
when you multiply a number by a sum. According to this property, you can add the numbers
and then multiply by 8 or you can first multiply each addend by 3. (This is called distributing
the 3. ) Then, you can add the products. C. 8x (3 + 4) = (8x 3) + (8x 4)
8x7= 24 + 32
2x (5+ 6) = (2x 5) + (2x 6)
Simplified form of the expression 8 ( 3 + 4 ) using the Distributive Property of Multiplication over Addition is 56
To apply the Distributive Property of Multiplication over Addition, you need to multiply the number outside the parentheses by each term inside the parentheses and then add the products together.
In this case, the number outside the parentheses is 8, and the terms inside the parentheses are 3 and 4. So, you can apply the distributive property as follows:
8 ( 3 + 4 ) = 8 × 3 + 8 × 4
Multiply the numbers
= 24 + 32
Add the numbers
= 56
Learn more about distributive property here
brainly.com/question/26809990
#SPJ4
Which equation represents the total commission (c) a sales associate receives if he sells laptop computers (l) with a commission of $39.95 for each sold laptop? What's the total commission if he sells 15 laptops?
A)
l = 39.95c; $599.25
B)
c = 39.95l; $2.66
C)
l = 39.95c; $2.66
D)
c = 39.95l; $599.25
Answer:
D
Step-by-step explanation:
The total commission is the number of laptops times the commission per laptop. Thus, \(c=39.95l\).
Setting \(l=15\), \(c=39.95(15)=599.25\).
(100 Points) Write an algebraic expression for this situation:
45$ total is spent on pencils, calculators, and rulers. Pencils (p) cost $2, calculators (c) cost $25, and rulers (r) cost $4, each.
Answer:
2p + 25c + 4r = 45Step-by-step explanation:
Cost of each item:
Pencils = 2pCalculators = 25cRulers = 4rTotal cost as expression:
2p + 25c + 4r = 45Let
pencils be pCalculators be cRulers be rEquation will be
\(\\ \sf\longmapsto 2p+25c+4r=45\)
in a recent poll, 150 people were asked if they liked dogs, and 6% said they did. Find the margin of error of this poll, at the 99% confidence level. Give your answer to three decimals. ____
We can say with 99% confidence that the true proportion of people who like dogs is within the range of 6% +/- 5% (i.e., between 1% and 11%).
The margin of error (MOE) is a measure of how much the results of a survey may differ from the true population values. It is affected by the sample size and the level of confidence of the survey.
To calculate the margin of error at the 99% confidence level for this poll, we can use the following formula:
MOE = z * (sqrt(p*q/n))
where:
z is the z-score corresponding to the confidence level. For a 99% confidence level, z = 2.576
p is the proportion of respondents who said they liked dogs, which is 0.06 in this case
q is the complement of p, which is 1 - 0.06 = 0.94
n is the sample size, which is 150 in this case
Plugging in the values, we get:
MOE = 2.576 * (sqrt(0.06*0.94/150)) = 0.049
Rounding to three decimal places, the margin of error is 0.049 or approximately 0.05.
Therefore, we can say with 99% confidence that the true proportion of people who like dogs is within the range of 6% +/- 5% (i.e., between 1% and 11%).
To learn more about respondents visit:
https://brainly.com/question/13755607
#SPJ11