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2 years ago

Based on the diagram, which expresses all possible lengths of segment AB?

Mathematics

2 answers:

Amiraneli [1.4K]2 years ago

8 0

B It should be the second answer choice

lukranit [14]2 years ago

4 0

we know that

The sum of the lengths of any two sides of a triangle is greater than the length of the third side (Triangle Inequality Theorem)

1) $AC+BC > AB$

$27+54 > AB\\ 81 > AB\\ AB < 81$

2) $27+AB > 54$

$AB > 54-27\\ AB > 27$

3) $54+AB > 27$

$AB > 27-54\\ AB > -27$

therefore

the answer is

$27 < AB < 81$

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The aquarium at Sea Critters Depot contains 140 fish. Eighty of these fish are green swordtails (44 female and 36 male) and 60 a

maxonik [38]

Given that:

Total number of fish = 140

Fish are green swordtails female = 44

Fish are green swordtails male = 36

Fish are orange swordtails female = 36

Fish are orange swordtails male = 24

Solution:

A. We have to find the probability that the selected fish is a green swordtail.

$\text{P(green swordtail)}=\dfrac{\text{Total green swordtail fish}}{\text{Total fish}}$

$\text{P(green swordtail)}=\dfrac{80}{140}$

$\text{P(green swordtail)}=\dfrac{4}{7}$

Therefore, the probability that the selected fish is a green swordtail is $\dfrac{4}{7}.$

B. We have to find the probability that the selected fish is male.

$\text{P(Male fish)}=\dfrac{\text{Total male fish}}{\text{Total fish}}$

$\text{P(Male fish)}=\dfrac{36+24}{140}$

$\text{P(Male fish)}=\dfrac{60}{140}$

$\text{P(Male fish)}=\dfrac{3}{7}$

Therefore, the probability that the selected fish is a male, is $\dfrac{3}{7}.$

C. We have to find the probability that the selected fish is a male green swordtail.

$\text{P(Male green swordtail)}=\dfrac{\text{Total male green swordtail fish}}{\text{Total fish}}$

$\text{P(Male green swordtail)}=\dfrac{36}{140}$

$\text{P(Male green swordtail)}=\dfrac{9}{35}$

Therefore, probability that the selected fish is a male green swordtail is $\dfrac{9}{35}.$

We have to find the probability that the selected fish is either a male or a green swordtail.

$\text{P(Male or green swordtail)}=\dfrac{\text{Total male or green swordtail fish}}{\text{Total fish}}$

$\text{P(Male or green swordtail)}=\dfrac{44+36+24}{140}$

$\text{P(Male or green swordtail)}=\dfrac{96}{140}$

$\text{P(Male or green swordtail)}=\dfrac{24}{35}$

Therefore, the probability the selected fish is either a male or a green swordtail is $\dfrac{24}{35}.$

4 0

2 years ago

96.5 times 2.54 i know the answer i just need help showing the work

kogti [31]

You just solve it like a normal multiplication problem and then start putting the decimal begin the answer and place it 3 numbers forward

3 0

2 years ago

Read 2 more answers

There are 5,280 feet in a mile. What part of a mile, in decimal form, will you drive until you reach the exit.

nalin [4]

Answer:

= 0.1893939

Step-by-step explanation:

We have given that there are 5,280 feet in a mile.

Number of feet in a mile = 5,280

Now we will convert feet into miles.

To convert 1000 feet into mile we will multiply it by 1/5280

1000 feet = 1000 * 1/5280

1000/5280

= 0.1893939

Therefore the answer is = 0.1893939....

4 0

2 years ago

Paul bought 9 total shirts for a total of $72. Tee shirts cost $10 and long sleeves shirts cost

luda_lava [24]

This is the whole problem : Paul bought 9 total shirts for a total of $72. Tee shirts cost $10 and long sleeve shirts cost $7. How many of each type of shirt did he buy?

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2 years ago

A car is traveling at a constant speed of 46 miles per hour. the formula for the distance traveled at the end of t hours is d=46

jonny [76]

d = 46t

First, let's find "d" for 7 hours.

d = 46(7)

d = 322 miles (7, 322)

Next, let's find "d" for 12 hours.

d = 46(12)

d = 552 miles (12, 552)

Finally, let's find "d" for 18 hours.

d = 46(18)

d = 828 miles (18, 828)

3 0

2 years ago