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
Rzqust [24]
2 years ago
15

Based on the tree diagram below, what is the probability that a student doesn't have lice, given that the student tested negativ

e? Round your answer to the nearest tenth of a percent.
A. 97.6%
B. 99.4%
C. 96.4%
D. 98.6%
Mathematics
2 answers:
olga_2 [115]2 years ago
6 0

Answer: D

Step-by-step explanation:

apec

oee [108]2 years ago
3 0

Answer:

Option D (APEX)

Step-by-step explanation:

L= Student has lice

NL= Student has no lice

PT=Test Shows positive

NT=Test Shows negative

P(\frac{NT}{NL}) =0.7708 (Probability that a student has no lice and the test shows negative)

P(\frac{NT}{L}) = 0.0108 ( Probability that a student has lice and the test shows negative)

  1. P\frac{NT}{NL} = \frac{P\frac{NT}{NL} }{P\frac{NT}{NL} +P\frac{NT}{L} }
  2. \frac{0.7708}{0.7708+00108}
  3. \frac{0.7708}{0.7816}
  4. 0.98618219 (Simplify)

<u> Terms Of Percentages</u>

0.98618219 × 100

=98.6

Therefore your answer is 98.6% (Option D)

APEX

You might be interested in
Can a math god help me out?
Taya2010 [7]

Answer:

f(1)=70

f(n)=f(n-1)+6

Step-by-step explanation:

One is given the following function:

f(n)=64+6n

One is asked to evaluate the function for (f(1)), substitute (1) in place of (n), and simplify to evaluate:

f(1)=64+6(1)

f(1)=64+6

f(1)=70

A recursive formula is another method used to represent the formula of a sequence such that each term is expressed as a function of the last term in the sequence. In this case, one is asked to find the recursive formula of an arithmetic sequence: that is, a sequence of numbers where the difference between any two consecutive terms is constant. The following general formula is used to represent the recursive formula of an arithmetic sequence:

a_n=a_(_n_-_1_)+d

Where (a_n) is the evaluator term (a_(_n_-_1_)) represents the term before the evaluator term, and (d) represents the common difference (the result attained from subtracting two consecutive terms). In this case (and in the case for most arithmetic sequences), the common difference can be found in the standard formula of the function. It is the coefficient of the variable (n) or the input variable. Substitute this into the recursive formula, then rewrite the recursive formula such that it suits the needs of the given problem,

a_n=a_(_n_-_1_)+d

a_n=a_(_n_-_1_)+6

f(n)=f(n-1)+6

3 0
2 years ago
HELP NEEDED! (Giving points) How many times greater is 3.4 than 1.7?
QveST [7]

Answer:

2

Step-by-step explanation:

Divide 3.4 by 1.7 and you get 2

4 0
2 years ago
Read 2 more answers
Is the relation a function? Why?
Anvisha [2.4K]

No! 11, the input, has two outputs which makes it not a function! :)

7 0
2 years ago
Read 2 more answers
The length of a rectangle is 5 cm more than twice the width. The perimeter of the rectangle is 33 cm. Find the dimensions of the
tatiyna
2w+2(5+2w)=33
2w+10+4w=33
6w=22
w=11/3 or 3 and 2/3
7 0
3 years ago
Watching TV: In 2012, the General Social Survey asked a sample of 1326 people how much time they spent watching TV each day. The
Varvara68 [4.7K]

Answer:

We <em>fail to reject H₀ </em>as there is insufficient evidence at 0.5% level of significance to conclude  that the mean hours of TV watched per day differs from the claim.

Step-by-step explanation:

This is a two-tailed test.

We first need to calculate the test statistic. The test statistic is calculated as follows:

Z_calc = X - μ₀ / (s /√n)

where

  • X is the mean number of hours
  • μ₀ is the mean that the sociologist claims is true
  • s is the standard deviation
  • n is the sample size

Therefore,

Z_calc = (3.02 - 3) / (2.64 /√(1326))

           = 0.2759

Now we have to calculate the z-value. The z-value is calculated as follows:

z_α/2 = z_(0.05/2) = z_0.025

Using the p-value method:

P = 1 - α/2

  = 1 - 0.025

  = 0.975

Thus, using the positive z-table, you will find that the z-value is

1.96.

Therefore, we reject H₀ if | Z_calc | > z_(α/2)

Thus, since

| Z_calc | < 1.96, we <em>fail to reject H₀ </em>as there is insufficient evidence at 0.5% level of significance to conclude  that the mean hours of TV watched per day differs from the claim.

6 0
3 years ago
Other questions:
  • What is √52 to the nearest whole number
    12·1 answer
  • Assume that each of the n trials is independent and that pis
    8·1 answer
  • Nuts.com sells raw almonds for $10 per pound and roasted pistachios for $12 per pound. Christopher spends $70, before taxes and
    9·1 answer
  • A Cepheid variable star is a star whose brightness alternately increases and decreases. For a certain star, the interval between
    9·1 answer
  • Help plzzzzzzzzzzzzzzzzzzzz
    9·2 answers
  • What is the value of LaTeX: 4^{-3}<br> 4<br> −<br> 3<br> ?
    6·1 answer
  • If x is to 9 as 8 is to 12, then x is equal to
    13·1 answer
  • .............................
    6·1 answer
  • Which equation shows y=−12x+4 is in standard form?
    10·1 answer
  • What does percent mean? Per<br> (Spell the word or write the number)
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!