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3 years ago

Which property justifies the following statement AB ≅ AB

Mathematics

1 answer:

Lesechka [4]3 years ago

4 0

AB can be congruent to BA through reflexive property. I think this is what you mean.

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Uh, I need help with this question (10 points)

Igoryamba

Answer:

2 cups

Step-by-step explanation:

8 0

2 years ago

Salaries for various positions can vary significantly depending on whether the company is in the public or private sector. The U

DIA [1.3K]

Answer:

a) 0.004

b) 0.9609

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 76503

Standard Deviation, σ = 8850

We are given that the distribution of annual salaries is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(salary greater than 100,000)

P(x > 100000)

$P( x > 100000) = P( z > \displaystyle\frac{100000 - 76503}{8850}) = P(z > 2.655)$

$= 1 - P(z \leq 2.655)$

Calculation the value from standard normal z table, we have,

$P(x > 100000) = 1 - 0.996 = 0.004 = 0.4\%$

b) P(sample mean annual salary falls between 70,000 and 80,000 dollars)

Sample size, n = 20

Standard error due to sampling =

$\dfrac{\sigma}{\sqrt{n}} = \dfrac{8850}{\sqrt{20}} = 1978.92$

$P(70000 \leq x \leq 80000) = P(\displaystyle\frac{70000 - 76503}{1978.92} \leq z \leq \displaystyle\frac{80000-76503}{1978.92})\\\\ = P(-3.286 \leq z \leq 1.767)\\\\= P(z \leq 1.767) - P(z < -3.286)\\=0.9614 - 0.0005= 0.9609 = 96.09\%$

$P(70000 \leq x \leq 80000) = 96.09\%$

7 0

3 years ago

How to solve this because i think my steps are wrong ?

wlad13 [49]

Replace x with 3:

h(3) = (3^2 -4) /2

= (9-4 ) / 2

= 5/2

8 0

3 years ago

Read 2 more answers

Write an equation of the line that has a slope of 2 and contains the point (1, 1) in point-slope form.

exis [7]

Point-slope form: we need a point (x₀,y₀) and the slope "m".
y-y₀=m(x-x₀)

Data:
(1,1)
m=2

Therefore:
y-y₀=m(x-x₀)
y-1=2(x-1) This is the equation of the line in point-slope form.

Answer. y-1=2(x-1)

7 0

3 years ago

Between which pair of numbers is the exact product of 379 and 8

rewona [7]

Between 2,400 and 3,200

4 0

3 years ago