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3 years ago

5% of what number is 10

Mathematics

2 answers:

Umnica [9.8K]3 years ago

5 0

Answer:

its 0.5

Step-by-step explanation:

Paraphin [41]3 years ago

5 0

I’m pretty sure it would be 200

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A personnel director interviewing 12 senior engineers for five job openings has scheduled seven interviews for the first day and

bezimeni [28]

Answer:

a) h(x; 7, 5, 12) = (⁵Cₓ)( ⁷C₇₋ₓ) / (¹²C₇)

b) 2.92

Step-by-step explanation:

Here

Number of interviewees = N = 12

Number of job openings = M = 5

Interviews schedules for the first day = n = 7

N − M = 12 - 5 = 7

Using hypergeometric distribution:

Let X be the no. top four candidates interviewed on first day.

The probability mass function of X:

P(X = x) = $(^{M} C_{x})$ $(^{N-M} C_{n-x})$ / $(^{N} C_{n})$

It can be written as:

h(x; n, M, N) = $(^{M} C_{x})$ $(^{N-M} C_{n-x})$ / $(^{N} C_{n})$

= (5Cx) (7C7-x) / (12C7)

= (⁵Cₓ)( ⁷C₇₋ₓ) / (¹²C₇)

h(x; 7, 5, 12) = (⁵Cₓ)( ⁷C₇₋ₓ) / (¹²C₇)

The expectation is: E(X) = np

E(X) = n * M/N

= 7 * 5/12

= 7 * 0.41667

= 2.9167

6 0

3 years ago

Triangle HKJ is inscribed in the circle as shown. If the triangle is a right triangle, what can you conclude about HJ?

kifflom [539]

Answer:

HJ is diameter.

Step-by-step explanation:

Given Triangle HKJ is inscribed in the circle. we have to conclude about HJ if the triangle is a right triangle.

All the three sides are chord of the circle.

As given HKJ is right angled triangle i.e∠HKJ=90° and angle subtended by diameter in the semicircle is 90° implies HJ is diameter because if the HJ moves towards the angle then the given angle becomes acute and if moves away from the angle then the angle becomes obtuse which contradict the given information.

hence, the only possibility about the line HJ is that it is a diameter.

7 0

3 years ago

Jamie deposits $1,600 into two different savings accounts. Account I is compounded annually at an interest rate of 2.75%. Accoun

GrogVix [38]

Answer:

Step-by-step explanation:

Considering account I, we would apply the formula for determining compound interest which is expressed as

A = P(1 + r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $1600

r = 2.75% = 2.75/100 = 0.0275

n = 1 because it was compounded once in a year.

t = 2 years

Therefore,

A = 1600(1 + 0.0275/12)^1 × 2

A = 1600(1.0275)^2

A = $1689.21

Considering account II, we would apply the formula for determining simple interest which is expressed as

I = PRT/100

Where

I represents interest paid on the investment.

P represents the principal or amount invested

R represents interest rate

T represents the duration of the investment in years.

From the information given,

P = 1600

R = 3.5

T = 2 years

I = (1600 × 3.5 × 2)/100 = $112

Total balance after 2 years is

112 + 1600 = $1712

the difference between the two accounts after 2 years is

1712 - 1689.21 = $22.79

4 0

3 years ago

Read 2 more answers

Is sec (−θ) equal to sec θ or - sec θ? How do you know?

Lorico [155]

Answer:

sec(- θ ) = secθ

Step-by-step explanation:

The relationship between sec and cos is

sec x = $\frac{1}{cosx}$

Now cos(- x) = cosx

Thus

sec(- θ ) = secθ

8 0

3 years ago

A plane loses altitude at the rate of 5 m/s it begins with an altitude of 85,000 m write a linear function that represents the s

photoshop1234 [79]

Y=5/60=85000. that should be it ithink

7 0

3 years ago