Answer:
z = 46/13
Step-by-step explanation:
Step 1: Write equation
z + 6 ÷ 13 = 4
Step 2: Solve for z
Rewrite: z + 6/13 = 4Subtract 6/13 on both sides; z = 46/13Step 3: Check
Plug in z to verify it's a solution.
46/13 + 6/13 = 4
52/13 = 4
4 = 4
Suppose that θ^1 and θ^2 are unbiased point estimators for an unknown population parameter θ such that Var(θ^1)=σ12 and Var(θ^2)=σ22. (a) (2 pts) What are the values of E(θ^1) and E(θ^2) ? Why? (b) (2 pts) Define a new estimator θ^3=aθ^1+(1−a)θ^2 for constant 0
The new estimator θ^3 is also an unbiased estimator with an expectation equal to θ.
(a) The values of E(θ^1) and E(θ^2) are unknown without further information. Being unbiased estimators means that, on average, they provide estimates that are equal to the true population parameter θ. Therefore, we have:
E(θ^1) = θ
E(θ^2) = θ
(b) To find the expectation E(θ^3), we can use the linearity property of expectations:
E(θ^3) = E(aθ^1 + (1 - a)θ^2)
Since θ^1 and θ^2 are unbiased estimators, their expectations are equal to θ:
E(θ^3) = E(aθ^1 + (1 - a)θ^2) = aE(θ^1) + (1 - a)E(θ^2)
Using the values from part (a), we have:
E(θ^3) = aθ + (1 - a)θ = θ(a + 1 - a) = θ
Therefore, the new estimator θ^3 is also an unbiased estimator with an expectation equal to θ.
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Four expressions are shown below.
I 2(2x2 – 2x – 60)
II 4(x2 - x - 30)
III 4(x + 6)(x-5)
IV 4x(x - 1) - 120
The expression 4x² - 4x – 120 is equivalent to
1) I and II, only
2) II and IV, only
3) I, II, and IV
4) II, III, and IV
Answer:
Option 3 is the correct answer
Answer:
yeah it is option 3
Step-by-step explanation:
GIVING BRAINLIEST TO THE CORRECT ANSWER AND 50 POINTS!
Conner and Jana are multiplying (3568)(39610). Conner's Work Jana's Work (3568)(39610) = 35 + 968 + 10 = 314618 (3568)(39610) = 35⋅968⋅10 = 345680 Is either of them correct? Explain your reasoning
Answer:
no neither of them are correct they both got the answer wrong because they didn't get the correct number because they didn't do the right steps to get the right answer.
Step-by-step explanation:
well it =141328480. Conner's work equals out to be 1013. Jana's works out to be 338800. Making them both wrong but Jana being the closet to the right answer because since there is no symbol telling you what to do and it is in () then you would be multiplying the two numbers in the ().
write the equivalent fraction of each of the following: 3/12 ,13/30and 15/45
Answer:
Step-by-step explanation:
6/24, 26/60, 30/90
Given the function f(x) = 4x, which statements are true? Check all that apply.
The additive inverse is -4x.
The additive inverse is 4x.
The multiplicative inverse is - x.
The multiplicative inverse is
1
4x
1
O f(x) = - 2 x
Op-} (x) == x
Answer:
a, d, and f
Step-by-step explanation:
The correct statement is the additive inverse is -4x.
Given that,
The function f(x) = 4x,
We have to find,
Which statements are true?
According to the question,
1. The additive inverse is composed of the terms which hold an opposite sign of the equivalent function.
Then, The additive inverse of f(x) = 4x is -4x.
2. The multiplicative inverse of the function is the inverse of the additive inverse.
Then, The multiplicative inverse of f(x) = 4x is 1/-4x.
3. And The value of f(x) when f(x) is -1 ,
The value of f(-1) is,
[tex]f(x) = 4x\\\\f(-1) = 4(-1)\\\\f(-1) =-4[/tex]
The value of f(-1) is 4.
Hence, The correct statement is the additive inverse is -4x.
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Harper went into a movie theater and bought 10 bags of popcorn and 6 drinks, costing a total of $79. Damian went into the same movie theater and bought 3 bags of popcorn and 5 drinks, costing a total of $36.50
Answer:
The price of the drink is: $4
and the bag of popcorn costed $5.5
Step-by-step explanation:
Let b=the price of each bag of popcorn
Let d=the price of each drink
One bag of popcorn costs $b, so 10 bags of popcorn cost 10b. One drink costs $d, so 6 drinks cost 6d. The total cost 10b+6d equals \$79:
10b+6d=79
Likewise, if 3 bags of popcorn and 5 drinks cost $36.50, then:
3b+5d=36.50
Write System of Equations:
10b+6d=79
3b+5d=36.50
(4y - 42)
2y
Please help
Rewrite the definition of the term as a biconditional statement. Two angles are vertical angles when their sides form two pairs of opposite rays. If an angle is vertical to another angle, then the angles do not form pairs of opposite rays. If two angles are vertical, then their sides form two pairs of opposite rays. An angle is vertical to another angle if and only if the angles do not form pairs of opposite rays. Two angles are vertical angles if and only if their sides form two pairs of opposite rays.
Answer:
D. Two angles are vertical angles if and only if their sides form two pairs of opposite rays
Step-by-step explanation:
A conditional statement is a statement that is is not truely ascertain except a particular condition is also true. This is done by using an IF statement. When a statement is biconditional, it means it is combined form of a conditional statement. The later is written by combining "two ifs" i.e IF and only IF. The statement is trying to ascertain two conditional statements at a time.
Given the statement "Two angles are vertical angles when their sides form two pairs of opposite rays.", we can see that it is made up to two statements.
1) Two angles are vertical angles
2) their sides form two pairs of opposite rays.
To ascertain the truthfulness of both statements, we will use the biconditional statement " if and only if". Hence the statement will become "Two angles are vertical angles if and only if their sides form two pairs of opposite rays"
Hence, option D is correct
An aluminum gutter in the shape of a trapezoidal prism is to go across the 32-foot front portion of a house. If the two parallel sides of the trapezoid are 6 inches and 9 inches, then how deep in feet must the trapezoid be so that the gutter can hold 10 cubic feet of water? a. 0.5 b. 2.5 c. 6 d. 2
The depth of the trapezoidal prism needs to be 0.5 feet (a) in order for the gutter to hold 10 cubic feet of water.
To find the depth of the trapezoidal prism, we can use the formula for the volume of a trapezoidal prism, which is given by V = (1/2)h(b1 + b2)L, where V is the volume, h is the depth, b1, and b2 are the lengths of the parallel sides of the trapezoid, and L is the length of the prism.
In this problem, the length of the front portion of the house is given as 32 feet. The two parallel sides of the trapezoid are 6 inches (0.5 feet) and 9 inches (0.75 feet), respectively. We are looking for the depth of the trapezoidal prism that will result in a volume of 10 cubic feet.
Using the formula for volume, we can substitute the given values and solve for h: 10 = (1/2)h(0.5 + 0.75)(32). Simplifying the equation, we get 10 = 41h. Solving for h, we find that h = 10/41 ≈ 0.2439 feet.
Converting the depth to inches, we have approximately 0.2439 * 12 ≈ 2.93 inches. Rounding to the nearest tenth, the depth of the trapezoidal prism should be approximately 0.5 feet or 6 inches to hold 10 cubic feet of water.
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Which equation is equivalent to 8 − 2x = 12?
A) 2x − 8 = −12
B) 2x − 8 = 12
C) x − 4 = 6
D) 2x = 20
Help me please:(
solve each proportion 5/15 = n/9
Answer:
n = 3
Step-by-step explanation:
5/15 = n/9
We can solve using cross products
15 n = 5*9
15n = 45
Divide each side by 15
15n/15 = 45/15
n = 3
What is the term for a ratio of equivalent measurements that can be used to change a value from one unit into another?
Answer:
conversion factor
Step-by-step explanation:
find the location of the point a after a rotation of 90 degrees clockwise around the origin. Please help me its urgent!! Brainliest!!
Answer:
(4, -6)
Step-by-step explanation:
The rule for rotation around the origin 90 degrees clockwise is
Ro, 90: (x, y) --> (y, -x)
so (6, 4) --> (4, -6)
Answer:
(4, -6)
Step-by-step explanation:
I did this on edulastic !
A car uses 20 Gallons of fuel to travel 440 miles, How much fuel will the car use to have 1054 miles?
A] about 40 gallons
B] about 48 gallons
C] about 231 gallons
D} about 440 gallons
Answer:
About 48 gallons so B
Step-by-step explanation:
440/20=22 miles per gallon
1054/22=47.90909091...
3(3) +0.75(2) = (3+0.75)x
Answer:
x=2.8
Step-by-step explanation:
Simplify
3(3) = 9
0.75(2) =1.5
Add
9+1.5=10.5
Simplify again
(3+0.75)x= 3.75x
Divide each side by 3.75
10.5=3.75x
3.75 cancels out and you're left with 2.8
Please help me Write the slope-intercept form of the equation of the line through (-5,-1) with a slope= -2/5
TYSM!!!
Answer:
y= -2/5x + -3
Step-by-step explanation:
y=mx+b
-1= -2/5(-5) +b
-1= 2+b
Solve for b
b= -3
Fill in the b and m and you get the answer
Can someone please help me answer this . I appreciate your help!
After 7 years, Raj will be twice as old as he was 3 years ago. What is his present age?
Answer:
Step-by-step explanation:
let x = present age
x+7 = age 7 years from now
x-3 = age 3 years ago
After 7 years, Raj will be twice as old as he was 3 years ago
x+7=2(x-3)
x+7=2x-6
2x-x=7+6
x=13
-377 = x - 1,000 i dont under stand it
Answer:
[tex]\boxed {x = 623}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]-377 = x - 1,000[/tex]
-Switch sides:
[tex]-377 = x - 1,000[/tex]
[tex]x - 1,000 = -377[/tex]
-Add [tex]1,000[/tex] on both sides:
[tex]x - 1,000 + 1,000 = -377 + 1,000[/tex]
[tex]\boxed {x = 623}[/tex]
Therefore, the value of [tex]x[/tex] is [tex]623[/tex].
Answer:its 623
Step-by-step explanation: 1000+ -377 will equal to 623
can you please help with this problem -5 + -2
Answer:
-7
Step-by-step explanation:
please help with this question
QUESTION 3 Let V be a vector space and let u, v € V. If W = {au + Bula,8 € R}. prove that W is a subspace of V. [6 marks]
To prove that W = {au + Bula,8 € R} is a subspace of vector space V, we need to show that W satisfies the three conditions for being a subspace: closure under addition, closure under scalar multiplication, and contains the zero vector.
Closure under addition: Let x, y be arbitrary vectors in W. We can write x = au + Bula and y = cu + Cvla, where a, b, c, d are scalars. Now, let's consider the sum of x and y: x + y = (au + Bula) + (cu + Cvla).
By applying the distributive property, we can simplify this to
(a + c)u + (b + d)ula. Since (a + c) and (b + d) are scalars, we see that x + y is also in the form of au + Bula, which means it belongs to W. Therefore, W is closed under addition.
Closure under scalar multiplication: Let x be an arbitrary vector in W and k be a scalar. We have x = au + Bula. Now, let's consider the scalar multiple of x: kx = k(au + Bula). Applying the distributive property, we get kx = (ka)u + (kbl)a. Since (ka) and (kbl) are scalars, we can see that kx is also in the form of au + Bula, indicating that it belongs to W. Thus, W is closed under scalar multiplication.
Contains the zero vector: The zero vector can be expressed as 0 = 0u + 0ula. Since 0 and 0 are scalars, we can see that the zero vector is in the form of au + Bula and therefore belongs to W.
Since W satisfies all three conditions for being a subspace, we can conclude that W is a subspace of V.
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For each of the following, graph isoquants that produce exactly 10 goods and 25 goods. Be sure to label a couple points in each case. a) f(K, L) = 1/2 min{K, L} b) f(K, L) = 5K^1/2 L^1/2 c) f(K, L) = 1/2K + 1/3L
Isoquants for f(K, L) = 1/2 min{K, L} that produce exactly 10 goods and 25 goods can be graphed, with labeled points.
For function f(K, L) = 1/2 min{K, L}, we can graph the isoquants that represent the combinations of capital (K) and labor (L) that produce exactly 10 goods and 25 goods.
An isoquant represents all the combinations of inputs (K and L) that yield the same level of output. In this case, the isoquants will be curves that connect different combinations of K and L, where the output is constant at either 10 goods or 25 goods.
To graph the isoquant for 10 goods, we plot points where f(K, L) = 10. For example, if we let K = 4 and L = 4, the minimum of K and L is 4, so f(K, L) = 1/2 * 4 = 2 goods.
Since this is less than 10, we need to increase either K or L. We can try K = 8 and L = 4, where the minimum of K and L is still 4, and f(K, L) = 1/2 * 4 = 2 goods. Again, this is less than 10, so we increase K or L further.
Continuing this process, we can plot a few more points and connect them to obtain the isoquant for 10 goods.
Similarly, we can graph the isoquant for 25 goods by plotting points where f(K, L) = 25. For each point, we determine the minimum of K and L, multiply it by 1/2, and check if the result is equal to 25. By plotting and connecting several such points, we obtain the isoquant for 25 goods.
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Solve for x.
9x=5x+20
9x=5x+20
9x-5x=20
4x=20
x=5
2. Ana pide un préstamo de $180000 al banco,
desea pagarlo en 12 cuotas mensuales iguales.
El banco utiliza la siguiente expresión para
calcular los intereses: (interés anual)
IA = 180000x200
¿Cuánto debe pagar Ana solo por concepto de
interés en cada cuota, donde el interés a pagar
en cada cuota es el mismo?
Ana must pay $5,400,000 in interest for each monthly installment.
How much must she pay?To calculate the interest payment for each monthly installment, we first need to determine the annual interest rate (IA) and then divide it by the number of months (12) to obtain the monthly interest rate.
Given:
Loan amount (principal) = $180,000Annual interest rate = IA = 1.80000 * 200To find the monthly interest rate, we divide the annual interest rate by 12:
Monthly interest rate = IA / 12
Let's calculate the monthly interest rate:
IA = 1.80000 * 200 = 360,000
Monthly interest rate = 360,000 / 12 = 30,000
Therefore, the monthly interest rate is $30,000.
Now, to calculate the interest payment for each monthly installment, we multiply the monthly interest rate by the loan amount:
Interest payment per installment = Monthly interest rate * Loan amount
Interest payment per installment = $30,000 * $180,000
Calculating this gives us:
Interest payment per installment = $5,400,000
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m= 0 passes through the point (-1,3)
Answer:
y = 3
Step-by-step explanation:
I will assume you want to put this in slope intercept form.
We need to solve for b in y = mx + b since we are given a point and the slope.
y = 0x + b
y = b
3 = b
y = 3
Note that since the slope is 0, there will be nothing to represent m.
Best of Luck!
Drag the labels to the correct locations on the table. Each label can be used more than once.
Match each function to all of the function types it belongs to.
Linear
Quadratic
Exponential
Polynomial
ments
f(x) = 2x +3
f(x) = x2 + 2x - 3
f(x) = 3x-2
Answer:
first one linear
second one quadratic
linear
Step-by-step explanation:
Answer:
f(x)=2x+3 is linear and polynomial
f(x)=x^2+2x= -3 quadratic and polynomial
f(x)=3^3 - 2 is exponential
Step-by-step explanation:
-12 = 5(6x + 4) + 7(x + 6)
how do you solve this problem ?
Answer:x=-2
Step-by-step explanation:
Distribute 5 and 7 so you’ll get
30x+20+7x+42, then combine like terms
37x+62, then subtract 62 on both sides
-74=37x, then divide both sides by 37
-2=x
(4 - 3i) + (2 + i )(5 - 2i)
Answer:
16 - 2i
Step-by-step explanation:
If you simplify your answer will be: 16−2i
Hope i get brainlest
How many times would you expect the spinner NOT to land on yellow if the spinner is spun 40 times? (Hint; set up a ratio table)
True or False: Consecutive interior angles have corresponding positions in the same side of the transversal
Answer:
true
Step-by-step explanation:
Answer:
True
Step-by-Step-Explanation: Because Consecutive Interior Pairs are pairs of angles on one side of the transversal but inside the two lines
