Answer:
0.206 = 20.6% probability that exactly 5 of them weigh more than 20 pounds.
Step-by-step explanation:
For each baby, there are only two possible outcomes. Either they weigh more than 20 pounds, or they do not. The probability of a baby weighing more than 20 pounds is independent of any other baby, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
A public health organization reports that 30% of baby boys 6 - 8 months old in the United States weigh more than 20 pounds.
This means that [tex]p = 0.3[/tex]
A sample of 15 babies is studied.
This means that [tex]n = 15[/tex]
What is the probability that exactly 5 of them weigh more than 20 pounds
This is P(X = 5). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{15,5}.(0.3)^{5}.(0.7)^{10} = 0.206[/tex]
0.206 = 20.6% probability that exactly 5 of them weigh more than 20 pounds.
Which is the graph of the linear equality 2x-3y<12
Answer:
The graph below shows the answer to
2x - 3y < 12
Also shown as
-3y < -2x + 12
Step-by-step explanation:
You can rearrange the inequality by subtracting 2x from both sides to isolate the y.
You now have -3y < 12 -2x
which can be put into the standard linear equation form of
-3y < -2x + 12
Then you divide both sides by -3 to get singular value of y, which is something like
-3/-3y < -2/-3x + 12/-3
which is
y > 2/3x -4
Note: I switched direction of the inequality because you are dividing both sides by a negative value.
Order the side lengths
Answer:
Step-by-step explanation:
First fill in the missing angles of each triangle:
angle IJK = 180-47-51 = 82°
angle KJL = 180 - 63 - 57 = 60°
Within EACH triangle, the side length is proportional to the opposite angle.
Therefore for triangle IJK,
JK < JL < IK
and for triangle JKL
JL < KL <JK
so combining (chaining) the two inequalities,
JL < LK <JK < JL < IK
Answer:
Step-by-step explanation:
first lets find angle J in triangle IJK
for angle J
47 + 51 + angle J =180 degree (sum of interior angle of a triangle )
98 + angle J =180
angle J =180 - 98
angle J =82 degree
Now lets find angle J in triangle JKL
for angle J
57 + 63 + angle J =180 degree (being sum of interior angle of the triangle)
120 + angle J =180
angle J = 180 - 120
angle J =60 degree
now lets place the angle from samllest to largest
angle I = 41 degree
angle K = 51 degree
angle K of JKL triangle = 57 degree
angle J of JKL triangle = 60 degree
angle L =63 degree
angle J of IJK triangle = 80 degree
Side opposite to the smallest angle is smallest in sides and side opposite to the longest angle is largest in side.So,
side opposite to angle I is JK
side opposite to angle K is IJ
side opposite to angle K of JKL triangle is JL.
side opposite to angle J of JKL triangle is LK.
side opposite to angle L is JK.
side opposite to angle J of IJK triangle is IK.
therefore required answer is
JK , IJ , JL , LK , JK , IK
Out of 449 applicants for a job, 253 have over 5 years of experience and 62 have over 5 years of experience and have a graduate degree. Step 1 of 2 : What is the probability that a randomly chosen applicant has a graduate degree, given that they have over 5 years of experience
Answer:
The probability that a randomly chosen applicant has a graduate degree, given that they have over 5 years of experience, is 24.50%.
Step-by-step explanation:
Given that out of 449 applicants for a job, 253 have over 5 years of experience and 62 have over 5 years of experience and have a graduate degree, to determine what is the probability that a randomly chosen applicant has a graduate degree, given that they have over 5 years of experience, the following calculation must be performed:
253 = 100
62 = X
62 x 100/253 = X
6,200 / 253 = X
24.50 = X
Therefore, the probability that a randomly chosen applicant has a graduate degree, given that they have over 5 years of experience, is 24.50%.
Help will give brailiest to first answer
question isn't loading
Step-by-step explanation:
Answer:
i think it is b but don't take my word
Step-by-step explanation:
Please help me solve this
Answer:
m1 = 107°
m2 = 73°
m3 = 107°
m1+m2+m3+m4 = 360°
107+73+107+73=360°
Helpppp me with explanation also please:(((((
Answer:
x=7/3
Step-by-step explanation:
3x2y=5 equation 1
3x-2y=9 equation 2
6x=14 add above 2 equations which eliminates y
x=14/6
x=7/3
A sheriff is interested in the average speed that people drive on Highway 50. Match the vocabulary word with its corresponding example.
A- The average speed that all drivers go on Highway 50
B- All people who drive on Highway 50
C- The average speed that the 250 randomly selected drivers drove on Highway 50
D- The speed that a driver drives on Highway 50
E- The 250 randomly selected drivers who were on Highway 50
F- The list of the 250 speeds that the drivers studied drove
a. Statistic
b. Population
c. Sample
d. Parameter
e. Data
f. Variable
Answer:
A: Parameter
B: Population
C: Statistic
D: Variable
E: Sample
F: Data
Step-by-step explanation:
A- The average speed that all drivers go on Highway 50: This is the parameter because it is the mean of the population.
B- All people who drive on Highway 50: This is the Population because it is from here that the sample was taken.
C- The average speed that the 250 randomly selected drivers drove on Highway 50: This is the statistic because it represents the mean of the sample.
D- The speed that a driver drives on Highway 50: This is the Variable because it varies with each driver.
E- The 250 randomly selected drivers who were on Highway 50: This is the sample because it is taken from a part of the population.
F- The list of the 250 speeds that the drivers studied drove: This is the data because it gives us information on the different speeds for this specific research.
Guided Practice
Graph each equation by making a table. Then state the
domain and the range.
5A. 2x – y = 2
5B. x = 3
5C. y = -2
PLEASE HELP WILL MARK YOU!!!
Answer:
hear is your required answer
Answer:
please see the image given above. hope this helps
Please help me on this question. Thanks
Answer:
E. p - 7 + 7 = 22 + 7
Step-by-step explanation:
p - 7 + 7 = 22 + 7 ( -7 + 7 = 0)
p = 22 + 7
p - 7 = 22//
help me find the volume (picture)
Answer:
18
Step-by-step explanation
3. Two dice are rolled. What’s the conditional probability that both dice are 5’s if it’s known that the sum of points is divisible by 5?
Answer:
[tex]Pr =\frac{1}{3}[/tex]
Step-by-step explanation:
Given
[tex]S = \{(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)[/tex]
[tex](3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)[/tex]
[tex](5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)\}[/tex] --- sample space
First, list out all outcomes whose sum is divisible by 5
[tex]A = \{(4,6), (5,5),(6,4)\}[/tex]
So, we have:
[tex]n(A) = 3[/tex]
Next, list out all outcomes that has an outcome of 5 in both rolls
[tex]B = \{(5,5)\}[/tex]
[tex]n(B) =1[/tex]
The required conditional probability is:
[tex]Pr =\frac{n(B)}{n(A)}[/tex]
[tex]Pr =\frac{1}{3}[/tex]
which statement describes the vector plotted below
While at her family reunion, Anaya surveys the people there and makes a list of everyone's ages. She wants to make a data display that shows the youngest age, the mean age, and the oldest age, along with the way the other ages are distributed. What kind of display is her best choice?
A. Box-and-whisker plot
B. Histogram
C. Scatterplot
D. Ogive
Answer:a box and whisker plot
Step-by-step explanation:
Just took the quiz
NO LINKS NO FILES! Jill says that the rules for multiplying and dividing integers are alike. Do you agree? Explain.
Answer:
Multiplying and dividing fractions are essentially the same process which you multiply the numbers straight across and no need for common denominators. Except in division of fractions, the second fraction is flipped so that the denominator is on the top and the numerator is on the bottom (reciprocal).
Answer:
I do not agree
Step-by-step explanation:
because in multiply negatives, the 2 negatives turn into a positive or multiplying positive and negative (and vice versa) becomes a negative still so the rules of multiplying and dividing are not alike integers. (For dividing it is the same!)
which ones do i press ?
Answer:
Step-by-step explanation:
b,e
I need help with this problem for my homework pls help
Answer:
x = 6.93
y = 13.86
Step-by-step explanation:
We can solve x by;
Tan(60) = 12/x
Tan(60) * x = 12
x = 12 / Tan(60)
x = 6.93
We can solve y by;
A² + B² = C²
12² + 6.93² = y²
144 + 48.02 = y²
192.02 = y²
[tex]\sqrt{192.02}[/tex] = y²
13.86 = y
Hope this helps!
Change fraction ( 11/4) from an improper fraction to a mixed number.
Answer:
Have a nice day :)
Step-by-step explanation:
To convert 11/4 into a mixed number, we need to divide 11 by 4 and get the values of quotient and remainder after performing division. When we divide 11/4, we get 2 as the quotient and 3 as the remainder. Now use the calculator to convert the following improper fractions to mixed fractions: 45/6
The sum of triple a number and 5 is 40.
in the number 32.8 which digit is in the ones place
help pls
Answer:
Step-by-step explanation:
the number 2 is in the ones place
its a pretty easy answer
help asap !!!!!!!!!!
Answer:
Diagram 2= 5
Diagram 3=10
Diagram 4= 15
Diagram 8 would be 35
Step-by-step explanation:
help me please lol this is an important grade
Answer:
YOUR ANSWER IS B
Step-by-step explanation:
Lillian is sitting on a bench in the mall. She noticed that 3 out of the last 15 men who walked
by had a beard. What is the experimental probability that the next man to walk by will have a
beard?
Write your answer as a fraction or whole number.
Answer:
3/15= 1/5 That's the answer
4x-1divide by 2=x+7
what is x
I need help with this
Base: 3 units
Height: 5 units
Area: 15 square units
([tex]A=b*h=3*5=15[/tex])
hope this helps :)
There are two packs of hyenas that live just outside of a small town in Harar, Ethiopia. Each night, the
packs fight to determine which pack can go through the city gate. The city provides unlimited food and
water to any hyenas that enter.
Is there competition taking place in the scenario? *
2 points
Yes
No
Answer:
yes
Step-by-step explanation:
the packs are fighting for a common goal against each other
so they are competing
double the difference of 25 and 10 is
Answer:
30
Step-by-step explanation:
25-10 = 15
15 x 2 = 30
------------------
First we must get the difference between 25 and 10.
[tex]25 - 10 = \green{15}[/tex]
Next, we must double the answer.
[tex]15 \times 2 = \bold \blue{30} \\ \tt or \\ {15}^{2} = \purple {\sf{30}}[/tex]
Therefore, the answer is 30.Stay safe!
(5/12 divided by 3/4 )
please finde this..
this is 7th class question
does anyone know the answer to this question
IF YOU REALLY KNOW ABOUT THIS PLEASE HELP IT’S MY FINAL EXAM, leave it if you don’t..... The two triangles illustrated below are similar. What are the values of x and y?
Answer from A to D
Answer:
B
Step-by-step explanation:
the larger triangle is 4 times bigger.....so the measurements for the sides are multiplied by 4.
the shape however is the same ....so the internal angle will still be 83 degrees
