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
lozanna [386]
3 years ago
6

The measured weights of 1,000 men in a certain village follow a normal distribution with a mean of 150 pounds and a standard dev

iation of 15 pounds. Which sentence most closely summarizes the data?
About 160 people weigh more than 165 pounds.

About 320 people weigh more than 165 pounds.

About 320 people weigh less than 165 pounds.

About 640 people weigh less than 165 pounds.
Mathematics
2 answers:
djyliett [7]3 years ago
6 0

Answer:

<em>About 160 people weigh more than 165 pounds. </em>

Step-by-step explanation:

The measured weights of 1,000 men in a certain village follow a normal distribution with a mean of 150 pounds and a standard deviation of 15 pounds.

We know that,

z=\dfrac{X-\mu}{\sigma}

where,

X = raw score = 165

μ = mean = 150

σ = standard deviation = 15

Putting the values,

z=\dfrac{165-150}{15}=\dfrac{15}{15}=1

Finding the value of probability for z=1, from z score table,

P(z

Hence, 84% of total men will weigh less than 165 pounds. So 16% of men will be more than 165 pounds, i.e

1000\times \dfrac{16}{100}=160

earnstyle [38]3 years ago
4 0
Z = (X-Mean)/SD 
<span>z1 = (165 - 150)/15 = +1 </span>
<span>z2 = (135 - 150)/15 = - 1 </span>
<span>According to the Empirical Rule 68-95-99.7 </span>
<span>Mean +/- 1SD covers 68% of the values </span>
<span>100% - 68% = 32% </span>
<span>The remaining 32% is equally distributed below z = - 1 and z = +1 </span>
<span>32%/2 = 16% 
</span>
<span>Therefore, 
</span>
<span>a) Number of men weighing more than 165 pounds = 16% of 1000 = 160 </span>
<span>b) Number of men weighing less than 135 pounds = 16% of 1000 = 160</span>
You might be interested in
Alice and Bob each have a certain amount of money. If Alice receives $n$ dollars from Bob, then she will have $4$ times as much
oksano4ka [1.4K]

Answer: 31 : 9

Step-by-step explanation:

Assume the following:

Alice's amount = P

Bob's amount = Q

Amount received = n

If Alice receives $n$ dollars from Bob ;then she will have $4$ times as much money as Bob.

P + n = 4(Q - n)

P + n = 4Q - 4n

P = 4Q - 4n - n

P = 4Q - 5n - - - - (1)

If, on the other hand, she gives $n$ dollars to Bob, then she will have $3$ times as much money as Bob

P - n = 3(Q + n)

P - n = 3Q + 3n

P = 3Q + 3n + n

P = 3Q + 4n - - - - - - (2)

Equating both equations - (1) and (2)

4Q - 5n = 3Q + 4n

4Q - 3Q = 4n + 5n

Q = 9n

Express P in terms of n, use either equation (1) or (2)

From equation 2:

P = 3Q + 4n

Substituting Q = 9n

P = 3(9n) + 4n

P = 27n + 4n

P = 31n

Alice's amount = P, Bob's = Q

Ratio = P:Q

31 : 9

5 0
3 years ago
What is the distance between (5, -1) and (5,-4)?
3241004551 [841]
Mathspapa.com ok find it there
7 0
3 years ago
A recipe calls for 4 0z of raisins. If I
Pachacha [2.7K]
56 I think :) tell me if it is
7 0
3 years ago
The local swim team is considering offering a new semi-private class aimed at entry-level swimmers, but needs a minimum number o
SCORPION-xisa [38]

Answer:

The significance level is \alpha=0.01 and since we are conducting a right tailed test we need to find a critical value who accumulate 0.01 of the area in the right of the normal standard distribution and we got:

z_{\alpha/2}= 2.326

So we reject the null hypothesis is z>2.326

Step-by-step explanation:

For this case we define the random variable X as the number of entry-level swimmers and we are interested about the true population mean for this variable . On specific we want to test this:

Null hypothesis: \mu \leq 15

Alternative hypothesis: \mu > 15

And the statistic is given by:

z =\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

The significance level is \alpha=0.01 and since we are conducting a right tailed test we need to find a critical value who accumulate 0.01 of the area in the right of the normal standard distribution and we got:

z_{\alpha/2}= 2.326

So we reject the null hypothesis is z>2.326

7 0
3 years ago
Felica wants to rent a part room at a game center . The game center charges $50 to rent the room puls $5 per person . if alicia
Kipish [7]

Answer:

17 people

Step-by-step explanation:

135-50=85

85/5=17

6 0
2 years ago
Other questions:
  • Solve.
    9·1 answer
  • Brad is putting an eight foot diameter circular garden
    10·1 answer
  • MZB = xo, what is the measure of a <br> supplement of LB?
    13·1 answer
  • Shari has 1 ½ gallons of orange juice. She wants to serve the orange juice equally to 12 of her friends. How many ounces of juic
    13·1 answer
  • How do you do...<br> cos2x-sin2x=1-2sin2x
    6·1 answer
  • In the triangle below, what is the length of MN
    5·1 answer
  • Please help a girl out:((((
    6·1 answer
  • Does this graph represent a function? Why or why not?
    12·1 answer
  • Help me pleaseeeeeeeeeeeeeeeee
    7·1 answer
  • Coach Smith purchased x footballs and y basketballs at a sporting goods store. The price of one football was $35.00 and the pric
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!