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sukhopar [10]
3 years ago
6

Use the diagram to answer the following

Mathematics
2 answers:
Vedmedyk [2.9K]3 years ago
8 0
Jswkaksksksksjbbcc
sjsjsjskskskks
Vesna [10]3 years ago
6 0

Answer:

Two pairs of adjacent angles: (a°&c°) and (c°&b°)

Vertical Angle: (a°&b°)

b°+c°=180° (They lie on the same line, so they are supplementary)

a+b=280°

x+x=280° (Vertically opposite angles are equal. a=b=x)

2x=280°

x=280°/2

x=140°

Now, we now that b+c=180°

140°+c=180° (Put the value of b i.e. b=X=140°)

c=180°-140°

c=40°

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The number of employees for a certain company has been decreasing each year by 2%. If the company currently has 690 employees an
solmaris [256]

Answer:

511 employees

Step-by-step explanation:

Given data

P=690

rate= 2%

time = 13 years

let us apply the simple interest formula

A=P(1-rt)

Note the  negative sign (since we are dealing with decrease)

A= 690(1-0.02*13)

A=690(1-0.26)

A=690*0.74

A=510.6

A= 511 approx

Hence the population will reduce to 511 employees

8 0
3 years ago
It is known that 10% of the calculators shipped from a particular factory are defective. In a random sample of ten calculators,
umka2103 [35]

Answer:

0.7361

Step-by-step explanation:

In this question we have

number to be 10

Then we have a probability of 10% = 0.10

We have q = 1-p

= 1-0.10 = 0.90

Then the probability of not more than 1 being defective:

P(x=0) + p(x= 1)

(10C0 x 0.1⁰ x 0.9^10-0)+(10C1 x 0.1¹ x 0.9^10-1)

= 1 x1 x0.3487 + 10 x 0.1 x 0.3874

= 0.3487 + 0.3874

= 0.7361

This is the the required probability and this answers the question.

probability = 10 percent = 0.1

q= 1- 10percent = 90% = 0.9

n = 4

To get the required probabiltiy for this question is

P(not greater than one is defective )=P(x=0)+P(x=1)

= 4C0x(0.1)⁰x(0.9)⁴+4C1x(0.1)¹x(0.9)³

= 0.9477

The required probability is 0.9477

5 0
3 years ago
Find the range of these sets of data -2,9,-1,-2000,-6000​
klio [65]

Step-by-step explanation:

the given data is in ascending order=9,-1,-2,-2000,-6000

rang = 9-(-6000)

( from above photo it continue )

5 0
3 years ago
How do you write 2tens 1one x10 in unit form
VMariaS [17]
Answer: 21 x 10

If you multiply that your answer will be 210
4 0
4 years ago
Read 2 more answers
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3 years ago
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