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3 years ago

Find the value of x such that l ⊥ m. A) 10.7 B) 16 C) 46 D) 48

Mathematics

1 answer:

dsp733 years ago

4 0

Answer:

Step-by-step explanation:

The diagram lacks the appropriate figure. Find the figure attached. If the line I is perpendicular to m, this means that the sum of the given angles will be equal to 90° as shown;

(3x+5)° + 37° = 90°

open the parenthesis

3x+5 + 37° = 90°

3x+42 = 90

subtract 42 from both sides of the equation

3x+42-42 = 90-42

3x = 48

Divide both sides of the resulting equation by 3;

3x/3 = 48/3

x = 16

Hence the value of x is 16°

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Leon wants to estimate the proportion of the seniors at his high school who like to watch football. He interviews a simple rando

cupoosta [38]

Answer:

Yes, the random conditions are met

Step-by-step explanation:

From the question, np^ = 32 and n(1 − p^) = 18.

Thus, we can say that:Yes, the random condition for finding confidence intervals is met because the values of np^ and n(1 − p^) are greater than 10.

Also, Yes, the random condition for finding confidence intervals is met because the sample size is greater than 30.

Confidence interval approach is valid if;

1) sample is a simple random sample

2) sample size is sufficiently large, which means that it includes at least 10 successes and 10 failures. In general a sample size of 30 is considered sufficient.

These two conditions are met by the sample described in the question.

So, Yes, the random conditions are met.

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3 years ago

Explain how to determine if something is a vector space or not

nlexa [21]

All you do is referring to the following definition:

Definition: A vector space is a set V on which two operations + and · are defined, called vector addition and scalar multiplication.

The operation + (vector addition) must satisfy the following conditions:

Closure: If u and v are any vectors in V, then the sum u + v belongs to V.

(1) Commutative law: For all vectors u and v in V, u + v = v + u

(2) Associative law: For all vectors u, v, w in V, u + (v + w) = (u + v) + w

(3) Additive identity: The set V contains an additive identity element, denoted by 0, such that for any vector v in V, 0 + v = v and v + 0 = v.

(4) Additive inverses: For each vector v in V, the equations v + x = 0 and x + v = 0 have a solution x in V, called an additive inverse of v, and denoted by - v.

The operation · (scalar multiplication) is defined between real numbers (or scalars) and vectors, and must satisfy the following conditions:

Closure: If v in any vector in V, and c is any real number, then the product c · v belongs to V.

(5) Distributive law: For all real numbers c and all vectors u, v in V, c · (u + v) = c · u + c · v

(6) Distributive law: For all real numbers c, d and all vectors v in V, (c+d) · v = c · v + d · v

(7) Associative law: For all real numbers c,d and all vectors v in V, c · (d · v) = (cd) · v

(8) Unitary law: For all vectors v in V, 1 · v = v

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3 years ago

10 chefs can prepare a meal for 536 people in

katovenus [111]

737 people I’m pretty sure

8 0