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Sveta_85 [38]
3 years ago
15

The following frequency table shows the number of fish caught by each of Igor's family members. What was the maximum number of f

ish that a family member caught? _____ fish

Mathematics
1 answer:
Tcecarenko [31]3 years ago
8 0

Answer:

4

Step-by-step explanation:

The values on the left of the table represent the number of fish caught, and the number of the right of the table represents how many family members caught that amount of fish.

Therefore, the first row means that 0 family members caught 0 fish.

The second row means that 3 family members caught 1 fish.

The third row would mean 1 family member caught 2 fish.

The next row would mean 0 family members caught 3 fish.

And the final row would mean 4 family members caught 4 fish.

The question does not ask for the total amount of fish caught; rather is ask for the maximum number of fish that a single family member caught.

Therefore, the maximum amount of fish that a single family member catches is 4. (And 4 family members did so. But individually, the maximum amount of fish one person caught is 4).

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X According to a survey, 60 sixth grade students at Madison Middle School attended a summer camp. This is 30% of the entire sixt
Liula [17]

Answer: total is 200

Step-by-step explanation:

30% = 60

10% = 60/3 = 20

100% = 200

7 0
3 years ago
One of the main contaminants of a nuclear accident, such as that at Chernobyl, is strontium-90, which decays exponentially at a
igor_vitrenko [27]

Answer: P=0.975^t


Step-by-step explanation:

We know that the general form of the exponential decay formula is


y=A(1-r)^t, where y is final amount remaining after t time, A is the original amount and r is the rate of decay


Now, the ratio of strontium-90 remaining, p , as a function of years, t , since the nuclear accident. P=\frac{A(1-0.02)^t}{A}=\frac{(0.975)^t}{1}

Hence, the ratio of remaining since the nuclear accident is P=0.975^t

3 0
3 years ago
Read 2 more answers
A golfer hits an errant tee shot that lands in the rough. A marker in the center of the fairway is 150 yards from the center of
Gwar [14]

\bold{\huge{\underline{ Solution}}}

<h3><u>Given </u><u>:</u><u>-</u></h3>

  • A marker in the center of the fairway is 150 yards away from the centre of the green
  • While standing on the marker and facing the green, the golfer turns 100° towards his ball
  • Then he peces off 30 yards to his ball

<h3><u>To </u><u>Find </u><u>:</u><u>-</u></h3>

  • <u>We </u><u>have </u><u>to </u><u>find </u><u>the </u><u>distance </u><u>between </u><u>the </u><u>golf </u><u>ball </u><u>and </u><u>the </u><u>center </u><u>of </u><u>the </u><u>green </u><u>.</u>

<h3><u>Let's </u><u> </u><u>Begin </u><u>:</u><u>-</u></h3>

Let assume that the distance between the golf ball and central of green is x

<u>Here</u><u>, </u>

  • Distance between marker and centre of green is 150 yards
  • <u>That </u><u>is</u><u>, </u>Height = 150 yards
  • For facing the green , The golfer turns 100° towards his ball
  • <u>That </u><u>is</u><u>, </u>Angle = 100°
  • The golfer peces off 30 yards to his ball
  • <u>That </u><u>is</u><u>, </u>Base = 30 yards

<u>According </u><u>to </u><u>the </u><u>law </u><u>of </u><u>cosine </u><u>:</u><u>-</u>

\bold{\red{ a^{2} = b^{2} + c^{2} - 2ABcos}}{\bold{\red{\theta}}}

  • Here, a = perpendicular height
  • b = base
  • c = hypotenuse
  • cos theta = Angle of cosine

<u>So</u><u>, </u><u> </u><u>For </u><u>Hypotenuse </u><u>law </u><u>of </u><u>cosine </u><u>will </u><u>be </u><u>:</u><u>-</u>

\sf{ c^{2} = a^{2} + b^{2} - 2ABcos}{\sf{\theta}}

<u>Subsitute </u><u>the </u><u>required </u><u>values</u><u>, </u>

\sf{ x^{2} = (150)^{2} + (30)^{2} - 2(150)(30)cos}{\sf{100°}}

\sf{ x^{2} = 22500 + 900 - 900cos}{\sf{\times{\dfrac{5π}{9}}}}

\sf{ x^{2} = 22500 + 900 - 900( - 0.174)}

\sf{ x^{2} = 22500 + 900 + 156.6}

\sf{ x^{2} = 23556.6}

\bold{ x = 153.48\: yards }

Hence, The distance between the ball and the center of green is 153.48 or 153.5 yards

5 0
3 years ago
A company is looking to hire a lawyer. One law rm states that their legal fees can be determined using the
melisa1 [442]

Answer:

100 hours

Step-by-step explanation:

Law firm A = 350x + 22,000,

Law firm B = 410x+16,000

Where,

x = number of hours of legal assistance

What number of hours of legal assistance makes the equation 350x+22,000 = 410x+16,000 true?

Equate the legal fees of the two law firms

350x + 22,000 = 410x + 16,000

Collect like terms

350x - 410x = 16,000 - 22,000

-60x = -6,000

Divide both sides by -60

x = -6,000 / -60

= 100

x = 100 hours

The number of hours of legal assistance makes the equation true is 100 hours

3 0
3 years ago
Us
aleksandr82 [10.1K]

Answer:

x = 30

Step-by-step explanation:

Since this is a right triangle,

90 = (x + 20) + (x + 10)

90 = x + x + 20 + 10

90 = 2x + 30

90 - 30 = 2x

60 = 2x

60/2 = 2x/2

30 = x

Check:

x + 20

30 + 20 = 50

x + 10

30 + 10 = 40

50 + 40 = 90

Hope this helps!

4 0
3 years ago
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