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ziro4ka [17]
2 years ago
5

Solving Multi Step Equations: Solve for the variable~y/5 - 9 = 11

Mathematics
1 answer:
katovenus [111]2 years ago
6 0
\frac{y}{5}-9=11
Isolate y-terms:
\frac{y}{5}-9+9=11+9
\frac{y}{5}=18
Isolate 'y':
\frac{y}{5}5=18\times 5
y=90
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What is the measure of each interior angle of the regular polygon pictured below? If necessary, round to the nearest tenth.
sammy [17]

Answer:

144

Step-by-step explanation:

Sum of interior angles:

180(n-2)

180(10-2)  

1440

Measure of each interior angle:

1440/10=144

8 0
2 years ago
There are 3 bags each containing 100 marbles. Bag 1 has 75 red and 25 blue marbles. Bag 2 has 60 red and 40 blue marbles. Bag 3
jekas [21]

Answer:

0.4 ; 0.6125

Step-by-step explanation:

Given the following :

Bag 1 : 75 red ; 25 blue

Bag 2: 60 red ; 40 blue

Bag 3: 45 red ; 55 blue

Probability = (required outcome / Total possible outcomes)

A) since the probability of choosing each bag is equal :

BAG A:

P(choosing bag A) = 1 / total number of bags = 1/3 ; P(choosing blue marble) = number of blue marbles / total number of marbles = 25/100

HENCE, choosing a blue marble from bag A : = (1/3 × 75/100) = 25/300

BAG B:

P(choosing bag B) = 1/3 ;

P(choosing blue marble) = number of blue marbles / total number of marbles = 40/100

HENCE, choosing a blue marble from bag A : = (1/3 × 40/100) = 40/300

BAG C:

P(choosing bag C) = 1/3

P(choosing blue marble) = number of blue marbles / total number of marbles = 55/100

HENCE, choosing a blue marble from bag A : = (1/3 × 55/100) = 55/300

= (25/300) × (40/300) × (55/300) = (25 + 40 + 55)/300 = 120/300 = 0.4

2) What is the probability that the marble is blue when the first bag is chosen with probability 0.5 and other bags with equal probability each?

BAG A:

P(choosing bag A) = 0.5 ; P(choosing blue marble) = number of blue marbles / total number of marbles = 25/100

HENCE, choosing a blue marble from bag A : = (0.5 × 75/100) = (0.5 * 0.75) = 0.375

BAG B:

P(choosing bag B) = (1-0.5) / 2 = 0.25 ;

P(choosing blue marble) = number of blue marbles / total number of marbles = 40/100

HENCE, choosing a blue marble from bag A : = (0.25 × 40/100) = (0.25 × 0.4) = 0.1

BAG C:

P(choosing bag C) = (1 - (0.5+0.25)) = 0.25

P(choosing blue marble) = number of blue marbles / total number of marbles = 55/100

HENCE, choosing a blue marble from bag A : = (0.25 × 55/100) = 0.25 × 0.55 = 0.1375

= 0.1375 + 0.1 + 0.375 = 0.6125

7 0
3 years ago
3x-100 what does x equal?
blagie [28]

Answer:

33.333

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
33% of what number is 1.45? Round to the nearest tenth.
tatuchka [14]

Take the unknown number as 'y'.

=》33% = 33/100

=》1.45 = 145/100

33/100 × y = 1.45

33/100 × y = 145/100

33y = 145/100 × 100/1

33y = 145

y = 145/33

y = 4.39

______

RainbowSalt2222 ☔

3 0
2 years ago
Read 2 more answers
What is the corollary to the triangle sum theorem?
Mazyrski [523]
In the triangle sum theorem, the corollary is that the triangle <span>can include only one 90 degree angle or one obtuse angle.</span>
5 0
2 years ago
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