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2 years ago

9/10 divided by - 3/5 as a mixed number

Mathematics

2 answers:

Reil [10]2 years ago

6 0

Answer:

-1 1/2

Step-by-step explanation:

9/10 ÷ -3/5

copy dot flip

9/10 * -5/3

-45/ 30

Divide the top and bottom by 15

-3/2

This is an improper fraction

two goes into three one time with 1 left over

-1 1/2

ziro4ka [17]2 years ago

4 0

- 1 1/2Find the reciprocal of the divisor
Reciprocal of
3
5
:
5
3
Now, multiply it with the dividend
So,
9
10
÷
3
5
=
9
10
×
5
3
=
9 × 5
10 × 3
=
45
30
After reducing the fraction, the answer is
3
2
In mixed form: 1 1/2

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Figures ABCD and PQRS are parallelogram find x and y (lengths are in metres) Part i and ii.

STatiana [176]

Step-by-step explanation:

For 1st question

In a parm ABCD

5x - 4 = 16 ( being opposite sides of parallelogram)

5x = 16 + 4

5x = 20

x = 20 / 5

x = 4

3y + 1 = 22 (being opposite sides of parallelogram)

3y = 22 -1

3y = 21

y = 21 / 3

y = 7

For second question

In parm PQRS

Diagonals bisect each other so

x + 4 = 12

x = 12 - 4

x = 8

x + y = 32

8 + y = 32

y = 32 - 8

y = 24

Hope it will help :)❤

8 0

2 years ago

LabTech is a company that manufactures microscopes and other laboratory instruments . On occasion, one of the microscopes is def

Scrat [10]

Answer:

0.0782 (7.82%)

Step-by-step explanation:

The required probability will be found by using the Binomial Distribution which fits the case of n independent events each with a probability of success equal to p with k successes.

The PMF (Probability Mass Function) is

$f(k,n,p)=\binom{n}{k}p^kq^{n-k}$

Where $q = 1-p$

LabTech states that the probability that a microscope is defective is 0.17%, p=0.0017, q=0.9983. We need to know the probability that k=1 microscope is defective out of a set of n=50 of them. We now apply the formula

$f(1,50,0.0017)=\binom{50}{1}0.0017^10.9983^{49}=0,0782$