1answer.
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
pentagon [3]
3 years ago
6

Kara is training for a 5 kilometer race. On the first day, she runs 0.75 kilometer What percent of the total distance does she r

un the first day of training.
Mathematics
1 answer:
svetoff [14.1K]3 years ago
8 0

Answer:15 percent

Step-by-step explanation:

(.75) / 5 = 3/20 = 15/100 = 15%

You might be interested in
Marcel had drama practice 8.75 hours from Monday to Friday if he practices the same amount each day how many hours does marcel s
AURORKA [14]
It would be 1.75 hours each day 
5 0
3 years ago
When circuit boards used in the manufacture of compact disc players are tested, the long-run percentage of defectives is 5%. Let
sergiy2304 [10]

Answer:

(a) P(X=3) = 0.093

(b) P(X≤3) = 0.966

(c) P(X≥4) = 0.034

(d) P(1≤X≤3) = 0.688

(e) The probability that none of the 25 boards is defective is 0.277.

(f) The expected value and standard deviation of X is 1.25 and 1.089 respectively.

Step-by-step explanation:

We are given that when circuit boards used in the manufacture of compact disc players are tested, the long-run percentage of defectives is 5%.

Let X = <em>the number of defective boards in a random sample of size, n = 25</em>

So, X ∼ Bin(25,0.05)

The probability distribution for the binomial distribution is given by;

P(X=r)= \binom{n}{r} \times p^{r}\times (1-p)^{n-r}  ; x = 0,1,2,......

where, n = number of trials (samples) taken = 25

            r = number of success

            p = probability of success which in our question is percentage

                   of defectivs, i.e. 5%

(a) P(X = 3) =  \binom{25}{3} \times 0.05^{3}\times (1-0.05)^{25-3}

                   =  2300 \times 0.05^{3}\times 0.95^{22}

                   =  <u>0.093</u>

(b) P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

= \binom{25}{0} \times 0.05^{0}\times (1-0.05)^{25-0}+\binom{25}{1} \times 0.05^{1}\times (1-0.05)^{25-1}+\binom{25}{2} \times 0.05^{2}\times (1-0.05)^{25-2}+\binom{25}{3} \times 0.05^{3}\times (1-0.05)^{25-3}

=  1 \times 1 \times 0.95^{25}+25 \times 0.05^{1}\times 0.95^{24}+300 \times 0.05^{2}\times 0.95^{23}+2300 \times 0.05^{3}\times 0.95^{22}

=  <u>0.966</u>

(c) P(X \geq 4) = 1 - P(X < 4) = 1 - P(X \leq 3)

                    =  1 - 0.966

                    =  <u>0.034</u>

<u></u>

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

=  \binom{25}{1} \times 0.05^{1}\times (1-0.05)^{25-1}+\binom{25}{2} \times 0.05^{2}\times (1-0.05)^{25-2}+\binom{25}{3} \times 0.05^{3}\times (1-0.05)^{25-3}

=  25 \times 0.05^{1}\times 0.95^{24}+300 \times 0.05^{2}\times 0.95^{23}+2300 \times 0.05^{3}\times 0.95^{22}

=  <u>0.688</u>

(e) The probability that none of the 25 boards is defective is given by = P(X = 0)

     P(X = 0) =  \binom{25}{0} \times 0.05^{0}\times (1-0.05)^{25-0}

                   =  1 \times 1\times 0.95^{25}

                   =  <u>0.277</u>

(f) The expected value of X is given by;

       E(X)  =  n \times p

                =  25 \times 0.05  = 1.25

The standard deviation of X is given by;

        S.D.(X)  =  \sqrt{n \times p \times (1-p)}

                     =  \sqrt{25 \times 0.05 \times (1-0.05)}

                     =  <u>1.089</u>

8 0
2 years ago
Pls help me with my beestar
Minchanka [31]
Mmmmm Maybe you should try doing something doing something doing something during
8 0
2 years ago
Read 2 more answers
-2x+18-1x+4=34 Show your work
Ede4ka [16]

Answer:

x=-4

Step-by-step explanation:

-2x+18-1x+4=34

step 1 combine like terms

-2x+-1x=-3x

18+4=22

-3x+22=34

step 2 subtract each side by 22

-3x=12

step 3 divide each side by -3

x=-4

hope this helps (:

4 0
2 years ago
Read 2 more answers
4, percent of a number is what fraction of that number?
Rama09 [41]

Answer:

a tenth of it i think is what you're asking.

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • The line graph below charts the time spent playing video games during a one week period.
    12·1 answer
  • Evaluate the expression when M equals eight and n equals five n+7m
    14·1 answer
  • What is 537 rounded to the nearest hundred
    7·2 answers
  • A park in the shape of a right triangle is the set in the middle of 3 square rose gardens, with one garden along the side. Which
    15·1 answer
  • If 24, x, and 6 form the first three terms of an arithmetic sequence
    8·1 answer
  • What type of number is this?<br>0.707070...​
    14·1 answer
  • X- (-3) is the same as x + (-3).<br> O True<br> O False
    11·2 answers
  • Read the excerpt from “A Century Ride.” When she came forward at Commencement, in a delightful little Greenaway gown of white mu
    7·1 answer
  • Stacy's dining room is 6 yards wide and 6 yards long. Stacy wants to install a new wood floor. It will cost $7.09 per square yar
    10·2 answers
  • Help me please!!! 10 points!!
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!