What is the value of p?

Applying the linear angles theorem, the measures of the larger angles are: 130 degrees.

The measures of the smaller angles are 50 degrees

Based on the linear angles theorem, we have the following equation which we will use to find the value of y:

3y + 11 + 10y = 180

Add like terms

13y + 11 = 180

Subtract 11 from both sides

13y + 11 - 11 = 180 - 11

13y = 169

13y/13 = 169/13

y = 13

Plug in the value of y

3y + 11 = 3(13) + 11 = 50 degrees

10y = 10(13) = 130 degrees.

Therefore, applying the linear angles theorem, the measures of the larger angles are: 130 degrees.

The measures of the smaller angles are 50 degrees.

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The total capacity of the big school bus is 140 children.

To find out how many children can fit into the big school bus, let's work through the given information step by step.

When the bus left Area A, it was 2/7 full. This means that 2/7 of the bus's capacity was occupied by children. Let's represent the total capacity of the bus as 'x'. Therefore, 2/7 of 'x' corresponds to the number of children on the bus when it left Area A.

After the bus arrived at Area B, 9 children alighted, which means the number of children decreased by 9. We are then told that there were 31 children remaining on the bus. So, the number of children on the bus before any alighted was 31 + 9 = 40.

Since 2/7 of the bus's capacity was occupied by children when it left Area A, we can set up the following equation:

(2/7) * x = 40

To solve for 'x', we can multiply both sides of the equation by (7/2):

x = 40 * (7/2)

x = 140

Therefore, the total capacity of the big school bus is 140 children.

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we would need a sample size of at least 502 for the approximate probability of the random interval (Y1/n - Y2/n) ‡ 0.05 covering pi - p2 to be at least 0.80.

To compute n, we can use the formula:
n = ((zα/2)^2 * 2p*(1-p*)) / (ε^2)
Where zα/2 is the z-score associated with a confidence level of 1-α, p* is the probability of success for a binomial distribution, and ε is the margin of error.
Since we are given that the approximate probability of the random interval (Y1/n - Y2/n) ‡ 0.05 covering pi - p2 is at least 0.80, we can set α = 0.20 to find the corresponding z-score of 1.28.
Using p* = 1/2 as an upper bound for both P1 and P2, we can calculate the margin of error as:
ε = zα/2 * sqrt((p*(1-p*)) / n)
Plugging in the values, we get:
0.05 = 1.28 * sqrt((0.25) / n)
Solving for n, we get:
n = 501.76
Therefore, we would need a sample size of at least 502 for the approximate probability of the random interval (Y1/n - Y2/n) ‡ 0.05 covering pi - p2 to be at least 0.80.

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Given that G is a finite group of order pnk, where k < p, we can use the Sylow Theorems to show that G must contain a normal subgroup.

According to the Sylow Theorems, there must exist a Sylow p-subgroup P of G, where P has order p^n. The number of Sylow p-subgroups in G, denoted by n_p, satisfies the following properties:
1. n_p divides the index [G : P], which is equal to the order of G divided by the order of P, i.e., n_p | (pnk / p^n) = pk.
2. n_p is congruent to 1 modulo p, i.e., n_p ≡ 1 (mod p).

Since k < p, it follows that n_p = 1 (because it must divide pk and be congruent to 1 modulo p). Thus, there is only one Sylow p-subgroup in G, which must be P. When there is only one Sylow p-subgroup, it is necessarily a normal subgroup of G. Therefore, G contains a normal subgroup, P.

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To determine if a polynomial graph is positive or negative, you need to look at the sign of the leading coefficient of the polynomial. If the leading coefficient is positive, the graph will be positive.

If the leading coefficient is negative, the graph will be negative. This is because the highest degree of the polynomial will determine the sign of the graph as the graph will either be increasing (positive) or decreasing (negative). To determine the leading coefficient, look at the polynomial expression and identify the term with the highest degree. The sign of this term will be the sign of the graph. For example, if the highest degree is 3, then the term would be ax^3, and the graph will be positive if a is positive, and negative if a is negative.

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Answer:

imagine cheating on your star assessment but same tho the answer is c

Step-by-step explanation:

because i solved it on paper

Answer:

Step-by-step explanation:

C

Answer:

When you see f^-1(x), its asking for the inverse. In this case, you swap y with x and solve for y.

The inverse is 5 / x - 8

The product of the two matrices Q₁Q₂ is orthogonal

In linear algebra, an orthogonal matrix, or orthonormal matrix, is a real square matrix whose columns and rows are orthonormal vectors. ... {\displaystyle Q^{\mathrm {T} }Q=QQ^{\mathrm {T} }=I,} where QT is the transpose of Q and I is the identity matrix.

It is said to be an orthogonal matrix if its transpose is equal to its inverse matrix, or when the product of a square matrix and its transpose gives an identity matrix of the same order.

If A is an n*n orthogonal matric, then A*A¹ = A¹*A

Therefore A*A¹ = A¹*A  = 1

This implies that the product Q₁O₂ is orthogonal.

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Answer:

y = x + 6

x = 1

y = ¼(x - 5) + 3

Step-by-step explanation:

Vetices are;

A(1,5), B(5,3) and C(-3, -2)

Thus;

Median of AB is; D = (1 + 5)/2, (5 + 3)/2

D = (3, 4)

Median of BC is; E = (5 + (-3))/2, (3 + (-2))/2

E = (1, 0.5)

Median of AC is; F ; (-3 + 1)/2, (-2 + 5)/2

F = (-1, 1.5)

Thus, the median lines will be;

CD, AE & BF.

Thus;

Equation of CD is;

(y - (-3))/(x - (-2)) = (-2 - 4))/(-3 - 3)

(y + 4)/(x + 2) = -6/-6

y - 4 = 1(x + 2)

y = 4 + x + 2

y = x + 6

Equation of AE;

(y - 5)/(x - 1) = (0.5 - 5)/(1 - 1)

(y - 5)/(x - 1) = -4.5/0

Cross multiply to get;

0(y - 5) = -4.5(x - 1)

-4.5x = -4.5

x = 1

Equation of BF;

(y - 3)/(x - 5) = (1.5 - 3)/(-1 - 5)

(y - 3)/(x - 5) = -1.5/-6

(y - 3)/(x - 5) = 1/4

y - 3 = ¼(x - 5)

y = ¼(x - 5) + 3

Answer:

your answer should be 1,435.11 u think

Answer:

Step-by-step explanation:

42x - 10.51 cannot be answered

The given function T: R³ → R³ defined by T(X₁, X₂, X₃) = (X₁ - X₂, X₂ - X₃, X₃ - X₁) is a linear transformation.

function is a linear transformation, we need to check two properties: additive property and scalar multiplication property.

1) Additive property: For any vectors u = (u₁, u₂, u₃) and v = (v₁, v₂, v₃) in R³, T(u + v) = T(u) + T(v).

Let's compute T(u + v) and T(u) + T(v):

T(u + v) = T(u₁ + v₁, u₂ + v₂, u₃ + v₃) = (u₁ + v₁ - u₂ - v₂, u₂ + v₂ - u₃ - v₃, u₃ + v₃ - u₁ - v₁)

T(u) + T(v) = (u₁ - u₂, u₂ - u₃, u₃ - u₁) + (v₁ - v₂, v₂ - v₃, v₃ - v₁) = (u₁ - u₂ + v₁ - v₂, u₂ - u₃ + v₂ - v₃, u₃ - u₁ + v₃ - v₁)

Comparing the two expressions, we can see that T(u + v) = T(u) + T(v), which satisfies the additive property.

2) Scalar multiplication property: For any scalar c and vector v = (v₁, v₂, v₃) in R³, T(c · v) = c · T(v).

Let's compute T(c · v) and c · T(v):

T(c · v) = T(c · v₁, c · v₂, c · v₃) = (c · v₁ - c · v₂, c · v₂ - c · v₃, c · v₃ - c · v₁)

c · T(v) = c · (v₁ - v₂, v₂ - v₃, v₃ - v₁) = (c · v₁ - c · v₂, c · v₂ - c · v₃, c · v₃ - c · v₁)

Comparing the two expressions, we can see that T(c · v) = c · T(v), which satisfies the scalar multiplication property.

Since the given function T satisfies both the additive property and scalar multiplication property, it is a linear transformation.

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Answer:

The value of the number is either 1 or -10/3

Step-by-step explanation:

If the same number is added to triple the square of a number seven times, the result is 10. What is that number?

Let the number = x

Therefore, we have;

3·x² + 7·x = 10

Therefore, we have;

3·x² + 7·x - 10 = 0

Dividing by 3 gives;

x² + 7/3·x - 10/3 = 0

Factorizing gives;

(x - 1)·(x + 10/3) = 0

x = 1 or -10/3

The number is either 1 or -10/3.

Answer:

C. Supplementary angles

Explanation:

Angles a and b are on the straight line AC.

Recall that the sum of angles on a straight line is 180 degrees.

If two angles add up to 180 degrees, they are said to be Supplementary.

Hence angles a and b are Supplementary angles.

0.688 will be the probability of getting a nickel from the jar.

Given,

Probability;-

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

Here,

The number of fortunate situations divided by the total number of coins would be the product between the probability of each occurrence and the likelihood of each event.

Therefore,

P(nickel) = 19/69

P(penny) = 17/68

That is,

P = 19/69 × 17/68

P = 323/4692

P = 0.0688

That is,

The probability of getting nickel from the jar is 0.06888

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Answer:

the last one or the second, sorry if you get it wrong also can you like and, also  can you give me brainly!!

Step-by-step explanation:

Answer:m is greater than or equal to 1/2

Step-by-step explanation:

The range of the function y = 2sin(x) is the set of all possible values that the function can take. The range of the function y = 2sin(x) is [-2, 2].

In trigonometry, the sine function can be defined as the ratio of the length of the opposite side to that of the hypotenuse in a right-angled triangle. The sine function, sin(x), has a range between -1 and 1, inclusive. When we multiply the sine function by 2, as in the case of y = 2sin(x), the range is expanded.

Multiplying the range of sin(x) [-1, 1] by 2 gives us the range of 2sin(x), which is [-2, 2].

Therefore, the range of the function y = 2sin(x) is [-2, 2].

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Answer:

The answer would be 36cm².

Step-by-step explanation:

⇒ Two prisms are similar.

⇒ Scale factor = 3:8

⇒ The ratio of the surface area is 9:64.

⇒ So S₁ : S₂ = 9:64

⇒ S₁ : 256 = 9:64

⇒ S₁ = 36cm²

This would mean that the answer is 36 centimeters ² (squared).

Answer: The postulate is stated as follows: When the two sides and the other side of a triangle are equal to the corresponding sides of another triangle, both triangles are said to be congruent triangles.

Step-by-step explanation:

Congruent triangles are triangles that have their corresponding sides equal. For a triangle (three angles), to be termed as congruent it must have each of its triangle equal to the corresponding sides of another triangle.

Answer:

your anwser is 1085

Step-by-step explanation:

The result of an average of more than 100% in a survey of tenants on cleaning chores in shared apartments is likely due to social desirability bias.

The average tenant response of more than 100% in a study about cleaning duties in shared apartments is probably the product of social desirability bias. Social desirability bias occurs when respondents give answers that they think are socially acceptable or desirable, rather than their true opinions or behavior.

In this case, tenants may have overstated their contribution to cleaning the apartment, in order to appear more helpful or responsible, leading to an average percentage higher than 100%.

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Answer:

A

Have a great day!

Answer:

0.10344827586 acres per pound simplify if needed.

Step-by-step explanation:

3 acres divided by the number of pounds which is 29.

There are infinitely many such numbers, so I'll give some examples.

\(\sqrt{25}=5\\\sqrt{27}\approx5.196\)

Therefore, such numbers can be \(5.19,5.03,5.\overline{17},5.\overline{045},\dfrac{77}{15},\dfrac{22937}{4500}\).

Answer:

25 = 5

27 = 5.196152422706632

Step-by-step explanation:

if we divide the number with prime number .

25/5 = 5

5/5 = 0

5*5 = 25

5 is repeating two times so it is a square root of 25

in 27 is not square

if we divide the prime number repeating 3 times so if we have another prime number we can calculate the square root of a number

To find f(-2), f(-0.5), and f(3) for the function f(x) = (3/8)x-3, substitute x = -2, -0.5, and 3 into the function. Then, solve for f(-2), f(-0.5), and f(3). f(-2) = -15/4, f(-0.5) = -51/16, and f(3) = -15/8 for the given function.

To find f(-2), f(-0.5), and f(3) for the given function f(x) = (3/8)x-3, we substitute the given values into the function and solve for the respective outputs.

1. Finding f(-2):
To find f(-2), we substitute x = -2 into the function:
f(-2) = (3/8)(-2) - 3
      = (-3/4) - 3
      = -3/4 - 12/4
      = -15/4
So, f(-2) = -15/4.

2. Finding f(-0.5):
To find f(-0.5), we substitute x = -0.5 into the function:
f(-0.5) = (3/8)(-0.5) - 3
        = (-3/16) - 3
        = -3/16 - 48/16
        = -51/16
So, f(-0.5) = -51/16.

3. Finding f(3):
To find f(3), we substitute x = 3 into the function:
f(3) = (3/8)(3) - 3
     = (9/8) - 3
     = 9/8 - 24/8
     = -15/8
So, f(3) = -15/8.

In summary, f(-2) = -15/4, f(-0.5) = -5:1/16, and f(3) = -15/8 for the given function f(x) = (3/8)x-3.

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Answer:

Step-by-step explanation:

Given equation:

Given variables:

Simplify, then solve:

x=3

Step-by-step explanation:

x=2y-7 and y=5

x=2(5) - 7

multiply 5 by 2

x=10 - 7

substract 10 from 7

x=3

Answer:

First should get $220, other two should get $140 each.

Step-by-step explanation:

The ratio of hours the friends worked is 11:7:7. Say that they are paid 11x, 7x, and 7x respectively, therefore:

11x + 7x + 7x = 500

25x = 500

x = 20 so the first friend should get 11 * 20 = $220 and the other two should get 20 * 7 = $140 each.

Answer:

a. n= 1x +7

b. n= 12 + 4x

Step-by-step explanation: