AB and CD are two chords in a circle intersected in H and Ah=x And HB=8 and CH=4 and HD=7 then x=?

What is the best definition of an expression?

ipn [44]

Answer:
C.
Step-by-step explanation:
Symbols is a broad category so you logically can't be wrong with that answer

7 0

2 years ago

On a statistics examination the mean was 78 and the standard deviation was 10. (a) Determine the standard scores of two students

Ludmilka [50]

Answer:

a) Grade = 93, Standard score = 1.5

Grade = 62, Standard score = -1.6

b) Standard scores = 0.6, Grade = 84

Standard scores = 1.2, Grade = 90

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 78

Standard Deviation, σ = 10

Formula:

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

a) Grade = 93

$\text{Standard score } = \displaystyle\frac{93-78}{10} = 1.5$

Grade = 62

$\text{Standard score } = \displaystyle\frac{62-78}{10} = -1.6$

b) We have to find grades of student

Standard scores = 0.6

$\displaystyle\frac{x-78}{10} = 0.6\\\\x = (0.6)(10)+78 \\x = 84$

Grade = 84

Standard scores = 1.2

$\displaystyle\frac{x-78}{10} = 1.2\\\\x = (1.2)(10)+78 \\x = 90$

Grade = 90

8 0

3 years ago

Two cylindrical containers, C and D, with different capacities are shown below. What is the total volume of liquid held in these

Zielflug [23.3K]

Answer:

Option D. (x + 4)(x + 1)

Step-by-step explanation:

From the question given above, the following data were obtained:

C = (6x + 2) L

D = (3x² + 6x + 9) L

Also, we were told that half of container C is full and one third of container D is full. Thus the volume of liquid in each container can be obtained as follow:

Volume in C = ½C

Volume in C = ½(6x + 2)

Volume in C = (3x + 1) L

Volume in D = ⅓D

Volume in D = ⅓(3x² + 6x + 9)

Volume in D = (x² + 2x + 3) L

Finally, we shall determine the total volume of liquid in the two containers. This can be obtained as follow:

Volume in C = (3x + 1) L

Volume in D = (x² + 2x + 3) L

Total volume =?

Total volume = Volume in C + Volume in D

Total volume = (3x + 1) + (x² + 2x + 3)

= 3x + 1 + x² + 2x + 3

= x² + 5x + 4

Factorise

x² + 5x + 4

x² + x + 4x + 4

x(x + 1) + 4(x + 1)

(x + 4)(x + 1)

Thus, the total volume of liquid in the two containers is (x + 4)(x + 1) L.

6 0

3 years ago

How do I write a fraction for 6 people share everything 4 pears equally?

Akimi4 [234]

4 pears will be shared among 6 people. Means you need to divide 4 by 6 and that is : 4/6

7 0

3 years ago

Read 2 more answers

On a recent holiday evening, a sample of 500 drivers was stopped by the police. Three hundred seventy-five were under 30 years o

Grace [21]

Answer:

Joint probability table :

_____ A _____ A'

_ Y_ 0.45 ___ 0.30

_ Y'_ 0.05___ 0.20

No

Step-by-step explanation:

Given :

Sample, size n = 500

A = driver is under the influence of alcohol :

Y = driver is less than 30 years old

P(A) = 275 / 500 = 0.55

P(Y) = 375 / 500 = 0.75

P(AnY) = 225 / 500 = 0.45

P(YnA') = (1 - 225/375)*0.75 = 0.4 * 0.75 = 0.30

Joint probability table :

_____ A _____ A'

_ Y_ 0.45 ___ 0.30

_ Y'_ 0.05___ 0.20

To determine if it is mutually exclusive : P(AnY) = 0

P(AnY) = 0.45 ; hence, it is not mutually exclusive

For A and Y to be independent ; P(A|Y) = P(A) ;

P(A|Y) = P(AnY) / P(Y)

P(A|Y) = 0.45 / 0.75 = 0.6

Hence, A and Y are not independent.

7 0

3 years ago