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1 year ago

15

Patrick is getting new carpet in his rectangular room. He needs 60 square units of carpet. His living room measured 10 units lon

g

1 answer:

oksian1 [2.3K]1 year ago

7 0

Patrick’s living room must be 6 units wide.

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The partial factorization of x2 – 3x – 10 is modeled with algebra tiles. Which unit tiles are needed to complete the factorizati

kkurt [141]

Answer:

(x - 5)(x + 2)

Step-by-step explanation:

x² - 3x - 10 =

= x² + 2x - 5x - 10

= x(x + 2) - 5(x + 2)

= (x - 5)(x + 2)

6 0

2 years ago

Researchers have a sample size of 24 , and they are using the Student's t-distribution. What are the degrees of freedom and how

DerKrebs [107]

Answer:

For this case assuming that the random variable is X

$df = n-1$

And replacing n = 24 we got:

$df = 24-1=23$

And we notate the distribution we got: $X \sim t_{n-1}= t_{23}$

Step-by-step explanation:

Previous concepts

The t distribution (Student’s t-distribution) is a "probability distribution that is used to estimate population parameters when the sample size is small (n<30) or when the population variance is unknown".

The shape of the t distribution is determined by its degrees of freedom and when the degrees of freedom increase the t distirbution becomes a normal distribution approximately.

The degrees of freedom represent "the number of independent observations in a set of data. For example if we estimate a mean score from a single sample, the number of independent observations would be equal to the sample size minus one."

Solution to the problem

For this case assuming that the random variable is X

$df = n-1$

And replacing n = 24 we got:

$df = 24-1=23$

And we notate the distribution we got: $X \sim t_{n-1}= t_{23}$

7 0

1 year ago

Which statement follows from the given theorem? Theorem: The diagonal of a parallelogram divides it into two congruent triangles

777dan777 [17]

Answer with explanation:

Theorem : The diagonal of a parallelogram divides it into two congruent triangles.

Properties of parallelogram

1. Opposite sides are equal and parallel.

2. Diagonal bisect each other.

3. Opposite Angles are equal.

If you will look at the first three options

A: Diagonals of a parallelogram bisect opposite angles.→→False(Alternate angles are equal)

B: Consecutive sides of a parallelogram are congruent.→→→False(Opposite sides are congruent)

C: Consecutive angles of a parallelogram are congruent.→→→False(Opposite angles are congruent)

D: Consecutive angles of a parallelogram are supplementary.→→→→True

For,any parallelogram, having vertices , A, B and C and D

Opposite sides are parallel, so

1.∠A + ∠B=180°

2.∠C + ∠B=180°

3.∠C+ ∠D=180°

4. ∠A + ∠D=180°

Option D

6 0

2 years ago

in 2000, Jonesville had a population of 15,000. in 2001, the population was 16250 and in 2002, the population was 17,500. if the

lesya [120]

Population (p) = 1,250n + 15,000

8 0

1 year ago

Read 2 more answers

I need help please help me

Lostsunrise [7]

Answer:

which one do you need help on

6 0

1 year ago