Answer:
x = 45
Step-by-step explanation:
AB // CD,
∠AB0 + ∠COB = 180 {Co interior angles}
75 + ∠COB = 180
∠COB = 180 - 75 = 105
∠DOE =∠COB {Vertically opposite angles}
∠DOE = 105
In ΔDOE,
x + 30 + 105 = 180 {angle sum property of triangle}
x + 135 = 180
x = 180 - 135
x = 45
Given: ABCD is a parallelogram.
Prove: AB = CD and BC = DA
(ANSWER)
I had to go through this whole thing myself and it's a terrible way to learn, big waste of time. Just watch Kahn Academy for your own sake.
EGE '21
Answer: answer just did on ege
Step-by-step explanation:
which of the following eliminates the drawback of having the measure of dispersion in squared units rather than in the original measurement units? a. standard deviation b. mean c. variance d. deviation
The standard deviation eliminates the drawback of having the measure of dispersion in squared units rather than in the original measurement units. This is because the standard deviation is calculated by taking the square root of the variance, which is in squared units. So, the standard deviation gives a measure of dispersion in the same units as the original measurements.
Hi! The option that eliminates the drawback of having the measure of dispersion in squared units rather than in the original measurement units is a. standard deviation. This is because standard deviation is the square root of variance, which brings the measurement back to the original units.
The option that eliminates the drawback of having the measure of dispersion in squared units rather than in the original measurement units is the standard deviation. option A
How to determine the measure of dispersionScattering alludes to the spread or changeability of information focuses in a dataset.
Variation could be a degree of scattering, but it is calculated by squaring the contrasts between each information point and the cruel. As a result, the variation is communicated in squared units, which may not be straightforwardly interpretable or significant within the setting of the initial estimation units.
The standard deviation, on the other hand, is the square root of the change. By taking the square root, it brings the degree of dispersion back to the initial estimation units, making it more effortlessly interpretable and comparable to the first information.
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. Sofia learned 10 recipes to create party dishes. She learned these recipes in two weeks. How many recipes can Sofia learn in 5 weeks?
Answer:
Sofia can learn 25 recipes in 5 weeks.
Step-by-step explanation:
First, to find the unit rate, we have to do 10/2 which = 5.
If the unit rate is 5 recipes per week, than she can learn 25 recipes in 5 weeks because 5 x 5 = 25
Hope this helps!
Answer:
She can learn 25 recipies
Step-by-step explanation:
if the sun is directly over the beanstalk, how many days after the beanstalk was planted would the beanstalk reach the sun? (the sun is 92,960,000 miles from the earth, and there are 5,280 feet in 1 mile.)
Erin and Frannie entered a rug design contest. The rules stated that the rug’s dimensions must be 32 inches × 45 inches and that they must be rectangular. They drew the following for their entries.
Draw the rug, find each partial product. (use the area model)
The area of the rug is 1,440 square inches and the sum of partial product is always equal to the area, 1440 square inches.
The area of the rug using the formula:
length x width = area.
The area of the rug is:
32 inches x 45 inches = 1440 square inches.
Refer figure for Erin and Frannie's design. Consider Erin's design
green = 30×5 = 150
red = 2×5 = 10
blue = 2×40 = 80
yellow = 30×40 = 1200
total area = green + red + blue + yellow
= 150 + 10 + 80 + 1200
= 1,440
Now consider Frannie's design
red = 5×1 = 5
blue = 35×1 = 35
green = 5×30 = 150
yellow = 35×30 = 1050
total area = 4red + 2blue + 2green + yellow
= 4×5 + 2×35 + 2×150 + 1050
= 20 + 70 + 300 + 1050
= 1,440
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In the Everglades National Park in Florida, there are 200 species of birds that migrate. This accounts for !" of all the species of birds sighted in the park. A. Write an equation to find the number of species of birds that have been sighted in Everglades National Park. B. There are 600 species of plants in Everglades National Park. Are there more species of birds or plants in the park? Explain.
Answer:
A)\(\frac{4}{7} y = 200\)
B) There are more species of plants as the number of species of birds that have been sighted in Everglades National Park is 280
Step-by-step explanation:
Total number of species of birds that migrate = 200
We are given that \(\frac{4}{7}\) of all the species of birds are sighted in the park
a)Write an equation to find the number of species of birds that have been sighted in Everglades National Park.
Let y be the number of species of birds that have been sighted in Everglades National Park.
We are given that\(\frac{4}{7}\) of all the species of birds are sighted in the park
So, \(\frac{4}{7} y = 200\)
\(y = \frac{200 \times 7}{4}\)
y=280
B)There are 600 species of plants in Everglades National Park. Are there more species of birds or plants in the park?
So, There are more species of plants as the number of species of birds that have been sighted in Everglades National Park is 280
Answer:
the one at the bottom
Step-by-step explanation:
Write as an algebraic expression.
14 fewer than the product of 3 and a number
Answer:
3 x X - 14
Step-by-step explanation:
Is your algebra expression.
Answer:
3x-14
Step-by-step explanation:
Product of 3 and number is 3*x
For " 14 fewer than.." we simply subtract 14.
So we get 3x-14
Given JL with J(-5,-1) and L(19,-9), if K lies on JL such that the ratio of JK to JL 7:8, find the coordinates of K.
Given :
JL with J(-5,-1) and L(19,-9), if K lies on JL such that the ratio of JK to JL 7:8.
To Find :
The coordinates of K.
Solution :
We know , point with divide in ratio m : n is given by :
\([\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_2}{m+n}]\)
Putting all given values in above equation , we get :
\([\dfrac{7(19)+8(-5)}{7+8},\dfrac{7(-9)+8(-1)}{7+8}]\\\\(6.2,-4.73)\)
Hence, this is the required solution.
is 35/7 an integer or a non integer please help
Step-by-step explanation:
35/7 is an IMPROPER FRACTION .... it REDUCES to an INTEGER = 5
The fraction 35/7 equals to 5, which is an integer because it is a whole number without a fractional or decimal component.
Explanation:The fraction 35/7 equals to 5. The number 5 is a whole number that can be written without a fractional or decimal component, hence it is classified as an integer.
In general, an integer includes all whole numbers and their negative counterpart excluding fractions or decimals. Examples of integers are ...-3, -2, -1, 0, 1, 2, 3... and so on.
So the answer to your question is, 35/7 is an integer.
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Sadie was using a metal spoon to eat her soup and her spoon became hot. Which correctly describes the process that caused the spoon to become
hot?
A. Convection, since hot air currents increased the temperature of the spoon.
B. Conduction, since hot air currents increased the temperature of the spoon.
C. Convection, since the spoon was in contact with the hot soup.
D. Conduction, since the spoon was in contact with the hot soup.
Answer:
The answer is D metal is a connductor that is why many of our hot appliances such as grills, ovens, and hot iron tools are metal
Step-by-step explanation:
brainlest plz
Answer:
D
Step-by-step explanation:
because convection is air and convection is contact.
what does −4n+5+6n−8 equal to?
Can someone help me with this Edginuity question?
If you can choose one scoop of ice cream and one topping, how many different sundaes can you make?
ice cream
vanilla
chocolate
toppings
fudge
cherry
marshmallow
Cody treated his girlfriend to lunch at Hamburger Palace. The bill came to
$
15.95
plus a tax of
$
1.17
. He gave the waitress a $20 bill and two dimes.
How much change will Cody get back?
Answer:
2.88
Step-by-step explanation:
You add $15.95 + $1.17 = $17.12 and subtract $20 and its $2.88 he will get back
I need help on this....7th grade math!!
Answer:
The answer is no.
Step-by-step explanation:
All you have to do is plot the points and see if they match up.
Answer:
No
Step-by-step explanation:
In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function. Functions were originally the idealization of how a varying quantity depends on another quantity.
The plotting in the graph demonstrates that it is not a function.
Which value of x is the solution of the equation 2(x – 4) + 7 = 3? (a) 1 (b) 6 (c) 2 (d) 0
Answer:
(c) 2
Step-by-step explanation:
2(x - 4) + 7 = 3
2x + 2(-4) + 7 = 3
2x - 8 + 7 = 3
2x - 1 = 3
2x - 1 + 1 = 3 + 1
2x = 4
2x/2 = 4/2
x = 2
Hope this helps!!!
The correct value of x is 2 in the given equation.
What is an equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given is an equation, 2(x – 4) + 7 = 3
Solving for x,
2(x – 4) + 7 = 3
2x-8+7 = 3
2x-1 = 3
2x = 4
x = 2
Hence, the value of x is 2.
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Jordyn is weighing ingredients on a kitchen scale. The bowls weighs 1 1 2pounds. He adds several scoops of flour. The total weigh of the bowl and flour is 3 pounds. Each cup of flour weighs 1 4pounds. Solve the equation 1 1 2+ 1 4c = 3 to see how many cups of flour he adds.
Answer:
6cups
Step-by-step explanation:
Given the equation
1 1/2 + 1/4c=3
We are to find the value of c
3/2 + c/4 = 3
c/4 = 3 - 3/2
c/4 = (6-3)/2
c/4 =3/2
Cross multiply
2c = 3×4
2c = 12
c =6
Hence he adds 6cups of flour
Determine the value c so that each of the following functions can serve as a probability distribution of the discrete random variable X:
(a) f(x) = c(x^2 + 4), for x = 0, 1, 2, 3;
(b) f(x) = c (^2x) (^3 3-x) , for x = 0, 1, 2. 2.
^^(2 is supposed to be directly above x, but not in fraction form, same for 3 and 3-x)
To determine the value of c that allows a function to serve as a probability distribution for a discrete random variable X, we need to ensure that the function satisfies two properties: non-negativity and the sum of probabilities equals 1.
(a) For the function f(x) = \(c(x^2 + 4)\), we need to determine the value of c. To satisfy the properties of a probability distribution, we must ensure that f(x) is non-negative for all possible values of x and that the sum of probabilities equals 1.
The possible values of x are 0, 1, 2, and 3. We can evaluate f(x) for each value of x:
f(0) = c(0^2 + 4) = 4c
f(1) = c(1^2 + 4) = 5c
f(2) = c(2^2 + 4) = 8c
f(3) = c(3^2 + 4) = 13c
For f(x) to serve as a probability distribution, all values of f(x) must be non-negative. Therefore, we need to ensure that 4c, 5c, 8c, and 13c are all non-negative. This implies that c must be greater than or equal to 0.
f(0) + f(1) + f(2) + f(3) = 4c + 5c + 8c + 13c = 30c
For the sum of probabilities to equal 1, we must have:
30c = 1
Solving for c, we find c = 1/30.
(b) For the function f(x) = c^(2x)^(3(3-x)), we can follow a similar approach. We need to ensure that f(x) is non-negative for all possible values of x and that the sum of probabilities equals 1.
The possible values of x are 0, 1, and 2. Evaluating f(x) for each value:
f(0) = \(c^(2(0))^(3(3-0)) = c^0 = 1\)
f(1) = \(c^(2(1))^(3(3-1)) = c^2^6 = c^12\)
f(2) =\(c^(2(2))^(3(3-2)) = c^4^3 = c^12\)
To satisfy the non-negativity property, we need to ensure that c^12 is non-negative, which implies that c must be greater than or equal to 0.
To satisfy the sum of probabilities equaling 1, we sum up the probabilities:
\(f(0) + f(1) + f(2) = 1 + c^12 + c^12\)
However, since c must be greater than or equal to 0, we conclude that there is no valid value of c that allows the function f(x) = c^(2x)^(3(3-x)) to serve as a probability distribution.
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the equilibrium constant for the reaction ni2+ + 6nh3
The equilibrium constant (Kc) for the reaction ni₂⁺ + 6nh₃ is [Ni(NH₃)₆]²⁺ / [Ni²⁺][NH₃]₆.
The given reaction is:
Ni₂+ + 6NH₃ ⇌ [Ni(NH₃)₆]²⁺
The equilibrium constant (Kc) for this reaction can be obtained by the formula given below
[Ni(NH₃)₆]²⁺ / [Ni²⁺][NH₃]₆
The equilibrium constant (Kc) for the reaction ni²⁺ + 6nh₃ is given as
[Ni(NH₃)₆]²⁺ / [Ni²⁺][NH₃]₆
Thus, the equilibrium constant (Kc) for the reaction ni²⁺ + 6nh₃ is [Ni(NH₃)₆]²⁺ / [Ni²⁺][NH₃]₆.
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pls help with the last part. if you need value of x then it's 80
Solve each inequality. Check your solution. (x/3) + 5 ≥ 1/6
The inequality given by (x/3) + 5 ≥ 1/6 has the solution x ≥ -29/2 or [-29/2 , +∞).
Inequality refers to the relationship between two non-equal expressions. It can be denoted by > for greater than, < for less than, >/= for greater than and equal to, and </= for less than and equal to.
To solve an inequality is to find the values of x such that when we substitute that number for x we have a true statement.
Given the inequality (x/3) + 5 ≥ 1/6, subtract 5 from both sides.
(x/3) + 5 - 5 ≥ 1/6 - 5
x/3 ≥ -29/6
Multiply both sides by 3.
3(x/3) ≥ 3(-29/6)
x ≥ -29/2
To check, let x = -29/2
x = -29/2 ≥ -29/2
Substitute this value to the inequality.
(x/3) + 5 ≥ 1/6
(-29/2)/3 + 5 ≥ 1/6
1/6 ≥ 1/6
let x = -14,
x = -14 ≥ -29/2
Substitute this value to the inequality.
(x/3) + 5 ≥ 1/6
-14/3 + 5 ≥ 1/6
1/3 ≥ 1/6
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Find the Slope
Using the slope equation
Answer:
1.5 hopefully
Step-by-step explanation:
Answer:
\(\dfrac{8}{3}\)
Step-by-step explanation:
Slope is defined as:
\(\dfrac{\textrm{rise}}{\textrm{run}}\)
We can count the number of units risen from the bottommost point with integer coordinates given to the uppermost point with integer coordinates given to get the values:
\(\textrm{rise} = 8\)
\(\textrm{run} = 3\)
Then, we simply plug the rise and run values into the slope formula.
\(\textrm{slope} = \dfrac{\textrm{rise}}{\textrm{run}} = \dfrac{8}{3}\)
Solve the problem for X and show your work.
x - 23= 8
There are 2 mystery books, 2 romance books, 2 poetry books to be randomly placed on a shelf. What is the
probability that the mystery books are next to each other, the romance books are next to each other, and the
poetry books are next to each other? (For example, MMRRPP).
Answer:
Please don't hesitate to give a "thumbs up" for the answer in case the answer has helped you 1. 2 M, 2R, 2 P are placed in shelf randomly P(similar a…
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Transcribed image text: Your Turn Find the probability using permutation with repetition 1. There are 2 mystery books, 2 romance books, 2 poetry books to be randomly placed on a shelf. What is the probability that the mystery books are next to each other, the romance books are next to each other, and the poetry books are next to each other? (For example, MMRRPP). 2. The school jazz band has 4 boys and 4 girls, and are randomly lined up for a yearbook photo. Find the probability of getting all of the boys grouped together.
Step-by-step explanation:
CORRECT ME IF IM WRONG
Dana earns $20 per hour working at the local grocery store and gets a flat overtime amount of $50 per week. x = number of hours y = weekly pay
please help write the equation out and tell me if it’s linear or exponential?
A farmer tries a new fertilizer that he feels will increase his corn crop yield. Which statistical method would help determine if the fertilizer was effective
To determine if the new fertilizer is effective, the farmer can use hypothesis testing, specifically a one-sample t-test. This test compares the mean yield of the corn crop using the new fertilizer to the historical mean yield of the corn crop using the old fertilizer.
1. Formulate hypotheses: Set up a null hypothesis (H0) stating that the fertilizer has no effect on yield, and an alternative hypothesis (H1) stating that the fertilizer increases yield.
2. Collect data: The farmer should divide his field into two sections - one with the new fertilizer and one without. He should then measure the corn yield from each section.
3. Determine the test statistic: Calculate the mean yield for each section and find the difference between them.
4. Set a significance level: Choose an acceptable level of Type I error (commonly 5%, represented as α = 0.05).
5. Calculate p-value: Using the appropriate statistical test (e.g., t-test or ANOVA), determine the probability of observing the calculated test statistic or a more extreme value, assuming the null hypothesis is true.
6. Compare p-value to α: If the p-value is less than α, reject the null hypothesis in favor of the alternative hypothesis, indicating that the fertilizer was effective in increasing corn crop yield.
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thompson and thompson is a steel bolts manufacturing company. their current steel bolts have a mean diameter of 140 millimeters, and a standard deviation of 8 millimeters. if a random sample of 49 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by more than 1.8 millimeters? round your answer to four decimal places.
The probability that the sample mean differs from the population mean by 1.8mm and is rounded off to 4 decimal places is 0.8220
According to the given problem the mean diameter μ= 140 mm (population mean) and the standard deviation is σ=8mm
random sample size, n= 49 steel bolts is selected
Let the random variable that represents the diameter of steel bolts be denoted by x and from the problem we have x = 1.8mm
Let z = (x-μ) / (σ/√n ) (1)
using formula (1) and when the sample mean differs from the population mean by more than 1.8mm
z = 1.8/(8/√49 )
⇒z = 63/40 = 1.575
The probability that the sample mean will differ from the population mean by more than 1.8 mm
P( z > 1.575) = 1 - P(z< 1.575) = 1 - 0.178 = 0.822
The probability that the sample mean will differ from the population mean by more than 1.8 mm = 0.8220
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I’ve post this like 5 times no one has answered it please help hehe
Answer: UT
Step-by-step explanation:
Not sure but side BC is more elevated and looks similar to side UT in the other shape.
Solve for x.
14x−1/2(4x+6)=3(x−4)−18
answer: -3
hope this helps :)
4. Parameterize the surfaces. a) The portion of the plane x + y +z = 1 with 0 < x,y 51 b) The portion of the plane x +y +z = 1 inside the cylinder x² + y2 = 4. c) The portion of the cone z = x2 + y2
(a) the parameterization of the surface becomes S(u, v) = (u, v, 1 - u - v) with 0 < u, v < 1.
(b) the parameterization of the surface becomes S(r, θ) = (r cos(θ), r sin(θ), 1 - r cos(θ) - r sin(θ)) with 0 ≤ r ≤ 2 and 0 ≤ θ < 2π.
(c) the portion of the cone z = x² + y² can be parameterized as S(u, v) = (√vcos(u), √vsin(u), v) with 0 ≤ u < 2π and v ≥ 0.
In this problem, we are asked to parameterize certain surfaces. Let's examine each case individually:
a) The portion of the plane x + y + z = 1 with 0 < x, y < 1:
To parameterize this portion of the plane, we can use a parameterization involving two variables. Let's denote the variables as u and v. We can set u = x and v = y, and then express z in terms of u and v as z = 1 - u - v. Thus, the parameterization of the surface becomes S(u, v) = (u, v, 1 - u - v) with 0 < u, v < 1.
b) The portion of the plane x + y + z = 1 inside the cylinder x² + y² = 4:
To parameterize this portion of the plane, we can utilize cylindrical coordinates. Let's denote the variables as r, θ, and z. We can express x and y in terms of r and θ as x = r cos(θ) and y = r sin(θ), and then express z in terms of r as z = 1 - x - y = 1 - r cos(θ) - r sin(θ).
Thus, the parameterization of the surface becomes S(r, θ) = (r cos(θ), r sin(θ), 1 - r cos(θ) - r sin(θ)) with 0 ≤ r ≤ 2 and 0 ≤ θ < 2π.
c) The portion of the cone z = x² + y²:
To parameterize this cone, we can use a parameterization involving two variables. Let's denote the variables as u and v. We can set u = θ (angle in the xy-plane) and v = z, and then express x and y in terms of u as x = √vcos(u) and y = √vsin(u). Thus, the parameterization of the surface becomes S(u, v) = (√vcos(u), √vsin(u), v) with 0 ≤ u < 2π and v ≥ 0.
In summary, a) the portion of the plane x + y + z = 1 with 0 < x, y < 1 can be parameterized as S(u, v) = (u, v, 1 - u - v) with 0 < u, v < 1. b) the portion of the plane x + y + z = 1 inside the cylinder x² + y² = 4 can be parameterized as S(r, θ) = (rcos(θ), rsin(θ), 1 - rcos(θ) - rsin(θ)) with 0 ≤ r ≤ 2 and 0 ≤ θ < 2π. c) the portion of the cone z = x² + y² can be parameterized as S(u, v) = (√vcos(u), √vsin(u), v) with 0 ≤ u < 2π and v ≥ 0.
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