Answer:
Explained below.
Step-by-step explanation:
Let X = number of trucks that will be going over the speed limit on I-77 South between Dobson and Elkin.
The probability of X is, p = 0.75.
A random sample of n = 5 trucks are observed on this stretch of I-77.
The random variable X follows a binomial distribution with parameters n = 5 and p = 0.75.
(a)
Compute the mean as follows:
[tex]\mu=n\times p=5\times 0.75=3.75[/tex]
The mean of this probability distribution is 3.75.
(b)
The mean of 3.75 implies that on average 3.75 trucks that will be going over the speed limit on I-77 South between Dobson and Elkin.
(c)
Compute the standard deviation as follows:
[tex]\sigma=\sqrt{np(1-p)}=\sqrt{5\times 0.75\times (1-0.75)}=0.968[/tex]
Thus, the standard deviation of this probability distribution is 0.97.
(d)
Compute the probability that exactly 3 of the observed trucks are speeding as follows:
[tex]P(X=3)={5\choose 3}(0.75)^{3}(1-0.75)^{5-3}\\\\=10\times 0.421875\times 0.0625\\\\=0.263671875\\\\\approx 0.2637[/tex]
Thus, the probability that exactly 3 of the observed trucks are speeding is 0.2637.
(e)
Compute the probability that less than 3 of the observed trucks are speeding as follows:
[tex]P(X<3)=P(X=0)+P(X=1)+P(X=2)\\\\=\sum\limits^{2}_{x=0}{{5\choose x}(0.75)^{x}(1-0.75)^{5-x}}\\\\=0.0009765625+0.0146484375+0.087890625\\\\=0.103515625\\\\\approx 0.1035[/tex]
Thus, the probability that less than 3 of the observed trucks are speeding is 0.1035.
Write the equation of the line in slope-intercept from (y=Mx+b) given:
1. 1 and 22 are vertical angles. If m1 =
(5x + 12) and m2 = (6x - 11), find m1.
Answer:
127 degrees
Step-by-step explanation:
Please help with this problem
Step-by-step explanation:
the answer is because AP is not congruent to PB
1/3 x + y = 4 solve for y
The simplified answer to the equation is [tex]y=-\frac{1}{3}x+4[/tex]
First, subtract [tex]\frac{1}{3}x[/tex] on both sides.
[tex]y=-\frac{1}{3}x+4[/tex]
You have isolated [tex]y[/tex] by itself, and the equation can't be simplified further, so [tex]y=-\frac{1}{3}x+4[/tex] is your answer.
|5x+9|=4x solve for all values of x
expand (2x+3) (2x-5)
Answer:
4x^2−4x−15
Split using the sum and difference of the formula, the simplify
21st term: 3, 8, 13, 18 ?
Answer: 108
Step-by-step explanation:
What is the lcm of 12 & 9 pls help im in class and i dont have a clue
Answer:
36 is the lcm of this question
If the pth term of an A.P. is q and the qth term is p. Prove that its nth term is (p+q-n).
pth term of an AP = q
qth term = p
Prove:nth term of A.P. is (p+q-n).
Proof:We know that,
nth term of an AP (an) = a + (n - 1)d
Hence,
⟹ a + (p - 1)d = q
⟹ a + pd - d = q
⟹ a = q - pd + d -- equation (1)
Similarly,
⟹ a + (q - 1)d = p
Substitute the value of a from equation (1).
⟹ q - pd + d + qd - d = p
⟹ qd - pd = p - q
⟹ - d(p - q) = p - q
⟹ - d = 1
⟹ d = - 1
Substitute the value of d in equation (1).
⟹ a = q - p( - 1) + ( - 1)
⟹ a = q + p - 1
Now,
an = q + p - 1 + (n - 1)( - 1)
⟹ an = q + p - 1 - n + 1
⟹ an = p + q - n
Hence, Proved.
I hope it will help you.
Regards.
Step-by-step explanation:
ANSWER
pth term = q
a+(p−1)d=q
qth term = p
a+(q−1)d=p
Solving these equations, we get,
d=−1
a=(p+q−1)
Thus,
nth term = a+(n−1)d=(p+q−1)+(n−1)×(−1)=(p+q−n)
Look a the picture please
Answer:
a. 6 1/2
Step-by-step explanation:
If each of the teacher's students needs 1/4lbs of clay and she has 26 students, all we have to do is divide 26 by 4. 26/4=6.5
6.5 as a fraction is 6 1/2. So, the answer is a.
Have an amazing day!! Good luck on your test C:
Find the LCM (least common multiple) of 25 and 35.
LCM =
175
Step-by-step explanation:Hi there !
25 = 5²
35 = 5×7
Lcm = multiply together each of the prime numbers with the highest power
Lcm(25 ; 35) = 5²×7 = 25×7 = 175
Good luck !
I need help pls!!!!!
Answer: they aren’t
Step-by-step explanation:
The angles and lengths are not proportional so they are not similar.
Answer:
They are not similar
Explanation:
Even though they would look very similar if they were turned the same way the back of one of them is at a 90 degree angle while the other is at a more acute angle so no they are not similar.
can you guys help me
Answer:
Step-by-step explanation:
X<2
At 9 pm the temperature was -2°C.
By midnight the temperature had gone down by 7 °C.
(b) Write down the temperature at midnight.
Answer:
-9°C.
Step-by-step explanation:
Simple -2°C - 7°C.
There are 3 batteries that go in a laser pointer if you had 100 lasers and took away the batteries of 5 lasers how much batteries do you have?
Answer:
285
Step-by-step explanation:
300-15=285
Answer:
285
Step-by-step explanation:
3 x 100 = 300
3 x 5 = 15
300 - 15 = 285
Hope This Helps!
plz plz plz help me quick i got 10 mins
Answer:
y=x+6
Step-by-step explanation:
Write an algebraic expression for the statement.
The cost of m pounds of meat when the cost per pound is $3.54.
Answer:
y=3.54m
Step-by-step explanation:
it is pretty self explanatory
An algebraic expression for the statement could be as; y = 3.54m
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol.
Thus which can also be used to indicate the logical syntax's order of operations and other features.
We need to write an algebraic expression for the statement.
Given that The cost of m pounds of meat when the cost per pound is $3.54.
Therefore, the expression could be as;
y = 3.54m
hence, An algebraic expression for the statement could be as; y = 3.54m
To know more about an expression follow;
brainly.com/question/19876186
#SPJ2
There were 65 students in the chess club this year. The very next year the chess club increased its members by 20%. How many more students joined the club?answer are A,65.B,20,C13.D78.
Answer:
d.
Step-by-step explanation:
Because it increased and it also went up by 20%
Kayla began a science experiment with 18 grams of an unknown solid. During the experiment, the change in the mass of the solid was – 7 grams. What was the mass of the solid at the end of the experiment? To solve the problem, Edna subtracted 18–( – 7) and came up with an answer of 25 grams. Is Edna correct? Why or why not?
Answer:
No. Enda should have added 18+ (-7) because she needed to add the initial mass and the change in mass.
Step-by-step explanation:
david works mowing lawns and babysitting. He earns an hour for mowing and an hour for babysitting. How much will he earn for hour of mowing and hours of babysitting?
Step-by-step explanation:
please state the amount and the times he's supposed to work rephrase the question please
Answer:
$41.10
Step-by-step explanation:
1 hour of mowing=$7.10
5 hours of baby sitting= $6.80×5=$34
TOTAL=$7.10+$34=$41.10
what is faster drive a car that goes 40 k per hour
or
a car that goes 15 meters per second
Answer:
40k per hour is faster
mark me as branliest plz
whats love, in words dont give as random answer
Answer:
Love is something you have to take care of figuratively.
Love is life, but love is sometimes not the thing to have sometimes
Love could be great, Love could be bad.
Step-by-step explanation:
What is the value of x
Answer: 2x= 40 so 2x20=40
Step-by-step explanation:every triangle has to add up to 180 digrees
65+75+40=180
For an avian research study, scientists wanted to estimate the local robin population. The scientists captured, tagged, and released 55 robins. A week later, they noted 30 tagged robins out of the 300 robins they counted. To the nearest whole number, what is the best estimate for the robin population?
Answer: The estimated number of robins in the population is 550
Step-by-step explanation: To estimate the population of robins, we will use the Mark-Recapture technique:
1) Capture a small number of individuals, mark them (with tags or other harmless identification) and release them;
2) After a period of time, catch another group and count the ones who have the mark;
3) Estimate the population using:
[tex]N=\frac{M*C}{R}[/tex]
where
N is the estimate of individuals in the population
M number of individuals marked
C is the total number of individuals captured the second time
R is the number of individuals with the mark recaptured
For the population of robins:
[tex]N=\frac{55*300}{30}[/tex]
[tex]N=\frac{16500}{30}[/tex]
N = 550
The best estimate for the robin population is 550.
Sabrina uses 2 oz of clay to make the
cube shown. She wants to make a
larger cube with an edge length that is
twice as long. How many ounces of
clay does she need to make the larger
cube? Show your work.
PLEASE HELP!!
Answer:
4 because everything is multiplied by 2
Step-by-step explanation:
3.5 × 2 = 7, do the same thing to the amount of oz used to make the cube.
2 × 2 = 4, so 4 oz of clay should be enough. PLZ MARK BRAINLIEST
Help asap people help with 6th grade..
Multiply. Use the greatest common factor to write each answer in the simplest form. 4/15 * 5/6
5/12 * 3/20
3/5 * 3/20
5/8 * 5/24
3 5/12 * 1 3/8
2 9/10 * 1 7/18
Answer:
1. 20/90 ----- GCF is 10 ----- 2/9
2. 15/240 ----- GCF is 15 ----- 1/16
3. 9/100 ----- GCF is 1 ----- 9/100
4. 25/192 ----- GCF is 1 ----- 25/192
5. 451/96 ----- GCF is 1 ----- 4 67/96
6. 725/180 ----- GCF is 5 ----- 4 1/36
The ratio of oak trees to maple trees in a park is 6 to 4. What percent of the trees in the park are oak trees?
Answer:
60%
Step-by-step explanation:
The problem would be 6:4 ratio. 6+4=10, and there are 6 oaks, so there's 6/10. And that converted to a percentage is 60%.
A line passes through the points (7, 10) and (7, 20). Which statement is true about the line?
It has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero.
It has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.
It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero.
It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.
Answer: D) It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.
Step-by-step explanation:
slope is y2-y1/x2-x1
20-10/7-7
10/0
denominator can't be 0
Answer:
D
Step-by-step explanation:
cause i said so
Highlands
The dot plots show rainfall totals for several spring
storms in highland areas and lowland areas.
What is the range of rainfall for the highland storms?
4 0 8 10 12 14 16 18 20 22 24 26 28 30 32
Lowlands
What is the range of rainfall for the lowland storms?
2 4 6 8 10 12 14 16 18 20 22 24 26 28 30
Answer:
30
26
Step-by-step explanation:
Why does the author of this
historical fiction story include the
detail that Bass Reeves couldn't
read?
It shows that Reeves could creatively
work around his disadvantages.
It shows that Reeves had no time for
reading books on his travels.
It shows that Reeves faced dangerous situations because of his job.
It shows that Reeves preferred to work
alongside other lawmen
PLEASE HELP I WILL PUT BRAINLIEST
Answer:
It’s it shows that Reece could work around his disadvantages
Step-by-step explanation: