answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
olga nikolaevna [1]
2 years ago
11

A diver begins at 140 feet below sea level. She descends at a steady rate of 7 feet per minute for 4.5 minutes. Then, she ascend

s 112.2 feet. What is her current depth?
Mathematics
2 answers:
Travka [436]2 years ago
4 0
Alright lets look at this problem the first step is to find out how far down she went in 4.5 minutes. so 7*4.5=31.5 ft next what you have to do is add 31.5 ft to 140 ft which is 171.5 ft next you need to subtract 112.2 ft from 171.5 ft which means that the divers current depth must be 59.3 Ft.
Sauron [17]2 years ago
4 0

Answer:

The diver begins at -150 feet and then descends at 5 feet/minute for 3.5 minutes, which could be represented by (-5)(3.5). The diver then ascends 122.2 feet, which is a positive number. The expression would be -150 + (-5)(3.5) + 122.2. Using order of operations, you get that the diver’s current depth is 45.3 feet below sea level.

You might be interested in
The radius of circle G is 4 cm. What is the tangent
qaws [65]
The tangent of a given circle is perpendicular to the radius a the point called point if tangency. The radius of the circle is perpendicular to the tangent at the point of tangency. This property is especially useful in cases where the radius that connects to the point of tangency forms a part of right angle because the pythagorean theorem and trigonometry apply to right angles.
4 0
2 years ago
A gold, a silver, and a bronze medal are awarded in an Olympic event. In how many possible ways can the medals be awarded for a
RideAnS [48]

Answer:

720 possible ways

Step-by-step explanation:

The gold is awarded to the first position, the silver is awarded to the second position while the bronze is awarded to the third position.

The first position can be taken by any of the 10 runners

Now, the second position can be taken by remaining 9 runners

while the third position can be taken by the renaming 8 runners.

Thus, the number of ways in which these medals can be awarded = 10 * 9 * 8 = 720 ways

3 0
2 years ago
Sarah is the president of the drama club and wants to publish a newspaper expenses are $.90 for printing and mailing each cop pl
mixer [17]

The answer to your question is,

To break even, the drama club must sell 1000 copies.

-Mabel <3

7 0
2 years ago
Read 2 more answers
When circuit boards used in the manufacture of compact disc players are tested, the long-run percentage of defectives is 5%. Let
vladimir1956 [14]

Answer:

a) P(X ≤ 2) = 0.87

b)  P(X ≥ 5) = 0.01

c) P(1 ≤ X ≤ 4) = 0.71

d) P ( X = 0 ) = 0.28

e) σ(X) = 1.09 , E(X) = 1.25

Step-by-step explanation:

Given:

- Let X = the number of defective boards in a random sample of size n = 25, so X ~ Bin(25, 0.05)

Where, n = 25 and p = 0.05

Find:

(a) Determine P(X ≤ 2).(b) Determine P(X ≥ 5).(c) Determine P(1 ≤ X ≤ 4).(d) What is the probability that none of the 25 boards is defective?(e) Calculate the expected value and standard deviation of X.

Solution:

- The probability mass function for a binomial distribution is given by:

                         P ( X = x ) = nCr * (p)^r * ( 1 - p )^(n-r)

a) P(X ≤ 2):

                         P(X ≤ 2) = P ( X = 0 ) + P ( X = 1 ) + P ( X = 2 )

                         = (0.95)^25 + 25*0.05*0.95^24 + 25C2*0.05^2*0.95^23

                         = 0.87

b) P(X ≥ 5):

            P(X ≥ 5) = 1 - [P ( X = 0 ) + P ( X = 1 ) + P ( X = 2 ) + P ( X = 3 ) + P(X=4)

            = 1 - [ 0.87 + 25C3*0.05^3*0.95^22 + 25C4*0.05^4*0.95^21]

            = 1 - 0.98994

            = 0.01

c) P(1 ≤ X ≤ 4):

            P(1 ≤ X ≤ 4) = P ( X = 1 ) + P ( X = 2 ) + P ( X = 3 ) + P(X=4)

            = ( 0.87 - 0.95^25) + 0.11994

           = 0.71

d) P( X = 0 )

            P ( X = 0 ) = 0.95^25 = 0.28

e) E(X) & σ(X):

            E(X) = n*p

            E(X) = 25*0.05 = 1.25

            σ(X) = sqrt ( Var (X) )

            σ(X) = sqrt ( n*p*(1-p) ) = sqrt ( 25*0.05*0.95 )

            σ(X) = 1.09

4 0
2 years ago
An entrepreneur estimates that the total profit (profit = total revenue minus total cost) from his proposed company will be give
SOVA2 [1]
No profit means P(x)=0: x³-4x²+3x-12=0
factor by regrouping: x²(x-4)+3(x-4)=0
take out (x-4): (x-4)(x²+3)=0
x=4 or x²=-3
x² is not a negative number, so x=4 is the only answer. 
4 0
2 years ago
Read 2 more answers
Other questions:
  • Naomi went on a 6.5 mile hike. In the morning she hiked 1.75 miles, rested,and then hiked 2.4 more miles. She completed the hike
    14·2 answers
  • after 24.0 days, 2.00 milligrams of an original 128.0 milligram sample remain. what is the half-life of the sample?
    13·1 answer
  • Sid need 0.6 meters of canvas material to make a carry-all bag for his wheelchair.if canvas is $10.09 per meter, how much will s
    15·1 answer
  • A library building is in the shape of a rectangle. Its floor has a length of (3x + 5) meters and a width of (5x − 1) meters. The
    14·1 answer
  • 3.4.4 Journal: Exponential vs. Quadratic
    6·1 answer
  • The volume of an object is 8.12 x 10–3 m3. Calculate the volume in cubic feet. (2.54 cm = 1.00 inch, 12.0 inches = 1.00 foot)
    15·2 answers
  • You need 20 pounds of grass seed to plant grass inside the baseball diamond below. About how many pounds of grass seed
    10·1 answer
  • Zahra plans to draw a triangle with angles measuring 50 , 60 , and 70 . Which is true about Zahra's plan? Zahra cannot make a tr
    8·2 answers
  • Turn the following fraction into a PERCENT: 15/60 ​
    5·2 answers
  • Seven friends want to buy a video game together to share. the cost will be evenly split among them. what is the expression that
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!