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Natali5045456 [20]
1 year ago
13

Mrs. gomes found that 40% of students at her high school take chemistry. she randomly surveys 12 students. what is the probabili

ty that exactly 4 students have taken chemistry? round the answer to the nearest thousandth. p (k successes) = subscript n baseline c subscript k baseline p superscript k baseline (1 minus p) superscript n minus k. subscript n baseline c subscript k baseline = startfraction n factorial over (n minus k) factorial times k factorial endfraction
Mathematics
1 answer:
andrew-mc [135]1 year ago
5 0

Answer:

0.213

Step-by-step explanation:

→ Convert into binomial information

x ~ B ( 12 , 0.4 )

→ Write down probability required

p ( x = 4 )

→ Evaluate

0.2128

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The number of men in a tour group is 15 times the number of women. If there are 48 people in the group, how many are men? A. 45
ankoles [38]

A. 45 hope this is the correct answer if not, sorry!

3 0
3 years ago
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30 pts AWNSER ASAP In 2 hours, Nolan can bake 5 1/2 dozen cookies. What is his unit rate in dozen cookies per hour?
seraphim [82]

Answer:

2 3/4 dozen cookies per hour

Step-by-step explanation:

To find his unit rate per hour, divide 5 1/2 by 2:

5.5/2

= 2.75 or 2 3/4 dozen cookies

So, his unit rate in dozen cookies per hour is 2 3/4

6 0
2 years ago
A cyclist cycles a distance of 40 miles in a time of 2 hours. what is her average speed?
snow_lady [41]

Answer:

see this and it by your own

Step-by-step explanation:

How do you find average speed with distance and time?

Divide the distance by the time.

This will give you the average speed per unit of time, usually hour. So, if Ben traveled 150 miles in 3 hours, his average speed is 50 miles per hour

How do you find average speed with hours and minutes?

How to calculate average speed. Speed is distance divided by time. Simply put, if you drove 60 kilometer's for one hour, it would look like this: Speed = distance (60 km) / time (1 hour) = 60km/h.

6 0
3 years ago
From experience, it is known that on average 10% of welds performed by a particular welder are defective. if this welder is requ
bulgar [2K]
Binomial distribution can be used because the situation satisfies all the following conditions:1. Number of trials is known and remains constant (n)2. Each trial is Bernoulli (i.e. exactly two possible outcomes) (success/failure)3. Probability is known and remains constant throughout the trials (p)4. All trials are random and independent of the othersThe number of successes, x, is then given byP(x)=C(n,x)p^x(1-p)^{n-x}whereC(n,x)=\frac{n!}{x!(n-x)!}
Here we're given
p=0.10  [ success = defective ]
n=3

(a) x=0
P(x)=C(n,x)p^x(1-p)^{n-x}
=C(3,0)0.1^0(1-0.1)^{3-0}
=1(1)(0.729)
=0.729

(b) x=2
P(x)=C(n,x)p^x(1-p)^{n-x}
=C(3,2)0.1^2(1-0.1)^{3-2}
=3(0.01)(0.9)
=0.027

(c) x ≥ 2
P(x)=\sum_{x=2}^3C(n,x)p^x(1-p)^{n-x}
=P(2)+P(3)
=C(n,2)p^2(1-p)^{n-2}+C(n,3)p^3(1-p)^{n-3}
=C(3,2)0.1^2(1-0.1)^{3-2}+C(3,3)0.1^3(1-0.1)^{3-3}
=3(0.01)(0.9)+1(0.001)1
=0.027+0.001
=0.028


8 0
3 years ago
2m/7 + 3m/14=1 what is the variable m
Tresset [83]
The variable m=2
got it?

6 0
3 years ago
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