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VLD [36.1K]
2 years ago
13

20 points help pls show work

Mathematics
1 answer:
Delvig [45]2 years ago
4 0

Answer: r≤10.4

Step-by-step explanation:

Initial depth - 12.8 feet

Maximum depth reached - 49.2 feet

49.2-12.8= 36.4 feet (maximum descent that the scuba diver can make)

Rate = Distance ÷ time

Distance - 36.4 feet

Time - 3.5 minutes

r= \frac{36.4}{3.5}

r= 10.4

As r is the maxmimum rate found, r cannot be greater than 10.4, so r must be less than or equal to 10.4.

Therefore, r≤10.4

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Assume that 2 cards are drawn from a standard 52-card deck. Find the following probabilities.
topjm [15]

Answer:

Step-by-step explanation:

WITHOUT replacement of first card drawn:

P(a 10 is drawn) = 13/52 = 1/4

P(the next draw is a 10) = 12/52 = 3/13

P(drawing two 10s without replacement of the first draw) = (1/4)(3/13) = 3/52

WITH replacement of first card:

P(two 10s are drawn) = P(first card is a 10)*P(first card is a 10) = (4/13)(4/13) =

16/169

7 0
3 years ago
Which equation is the inverse of 5y+4 = (x+3)^2 + 1/2
Anna35 [415]
C. -5y -4 = -(x+3)^2 -1/2

Hope I am right.
3 0
3 years ago
Read 2 more answers
an ice cream company did a survey among high school students. it was found that 86 students liked vanilla ice cream and 48 of th
Kitty [74]

Answer:

300

Step-by-step explanation:

Students like Vanilla ice cream = 86

Out of 86 Students like chocolate ice cream too = 48

So, No. of students who like only vanilla=86-48 = 38

There were 12 students who did not like vanilla ice cream but liked chocolate ice cream.

There were 2 students who did not like either vanilla ice cream or chocolate ice

                                   Like Vanilla      Did not like vanilla     Total

Like Chocolate             48                           12                           60

Did not like chocolate  38                           2                             40      

Total                               86                          14                            100

No. of students who like chocolate out of 100 = 60

Now we are supposed to find the number of students who would like chocolate ice cream when 500 high school students participate in the survey.

Let x be the number of students out of 500 who like chocolate

So, A.T.Q

\frac{60}{100}=\frac{x}{500}

\frac{60}{100} \times 500=x

300=x

Hence the number of students who would like chocolate ice cream when 500 high school students participate in the survey is 300.

4 0
3 years ago
A simplified model of the human blood-type system has four blood types: A, B, AB, and O. There are two antigens, anti-A and anti
dexar [7]

Answer: Blood type will be A when event "A" happened and event "B" did not happen. Blood type will be B when event "A" did not happened and event "B" happened. Blood type will be AB when both events happened and blood type will be O when both events did not happen.

Step-by-step explanation:

S={AntiA reacts; AntiA does not react; AntiB reacts; AntiB does not react}

If AntiA reacts and AntiB reacts = AB (A∩B)

If AntiA does not react and AntiB does not react= O (A'∩B')

If AntiA reacts and AntiB does not react= A (A∩B')

If AntiA does not react and AntiB reacts= B (A'∩B)

4 0
3 years ago
One equation in a system of linear equations is y=2x+1
Rufina [12.5K]

Step-by-step explanation:

<u>Given equation:</u>

  • y = 2x + 1

a. write a second equation so that (1,3) is the only solution of the system

To have only one solution the equation must have a different slope.

<u>Let it be 10, then the y-intercept of y = 10x + b is:</u>

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<u>And the equation:</u>

  • y = 10x - 7

b. Write a second equation so that the system has infinitely many solutions

<u>To have infinitely many solutions, both equations must be same:</u>

  • y = 2x + 1

c. Write a second equation so that the system has no solutions.

<u>To have no solutions, the equations must have same slope but different y-intercepts:</u>

  • y = 2x + 5
3 0
3 years ago
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