Using the binomial distribution, it is found that there is a 0.2617 = 26.17% probability that at least 8 but at most 10 students will complete their assignments before the due date.
For each student, there are only two possible outcomes, either they complete the assignment, or they do not. The probability of a student completing the assignment is independent of any other student, hence the binomial distribution is used to solve this question.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem:
The probability of a student successfully completing an assignment before the due date is 0.65, hence p = 0.65.Ten students are selected at random, hence n = 10.The probability is:
[tex]P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10)[/tex]
In which:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 8) = C_{10,8}.(0.65)^{8}.(0.35)^{2} = 0.1757[/tex]
[tex]P(X = 9) = C_{10,9}.(0.65)^{9}.(0.35)^{1} = 0.0725[/tex]
[tex]P(X = 10) = C_{10,10}.(0.65)^{10}.(0.35)^{0} = 0.0135[/tex]
Then:
[tex]P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10) = 0.1757 + 0.0725 + 0.0135 = 0.2617[/tex]
0.2617 = 26.17% probability that at least 8 but at most 10 students will complete their assignments before the due date.
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solve the equation e^3x-4=3
We are given with a equation i.e ;
[tex]{:\implies \quad \sf e^{3x}-4=3}[/tex]
Transpose 4 to Right-Hand-Side ;
[tex]{:\implies \quad \sf e^{3x}=7}[/tex]
Now , Taking Natural logarithm to both sides ;
[tex]{:\implies \quad \sf ln(e^{3x})=ln(7)}[/tex]
[tex]{:\implies \quad \sf 3x \: ln(e)=ln(7) \quad \qquad \{\because ln(a^{b})=b\: ln(a)\}}[/tex]
[tex]{:\implies \quad \sf 3x=ln(7) \quad \qquad \{\because ln(e)=1\}}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{x=\dfrac{ln(7)}{3}}}}[/tex]
parametric test based on standard error
Answer:
The parametric hypothesis tests that we introduced in Chapter 5 were all based upon the means of the sample and population.
what is the probability that a randomly chosen number is less than or equal to 90 and is a multiple of 17
Answer:
let's see...
we have total possible outcomes.. = 90 ( from 1 to 90)
Desiree outcomes..= 5 ( 17,34,51,68,85)
and therefore.. the probability is 5/90 = 1/18.
here you go.. that should be correct I hope.
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Step-by-step explanation:
What's the link for tho?
Answer:
fr
Step-by-step explanation:
me
A school is implementing an SAT preparation program. To study the program's effectiveness the school looks at participantsSAT scores before starting the program and after completing the program . The results are shown in the table. How can the values in the Difference row of the table be interpreted?
A. A positive difference means that the students score increased after the program, and a negative difference means that the students score decreased after the program.
B. A positive difference means that the students score decreased after the program, and a negative difference means that the students score increased after the program.
C. A positive difference means that the program was effective, and any negative differences can be ignored.
D. A negative difference means that the program was effective, and any positive difference can be ignored.
Answer:
b
Step-by-step explanation:
Option B is correct, A positive difference means that the students score decreased after the program, and a negative difference means that the students score increased after the program.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given that a school is implementing an SAT preparation program.
To study the program's effectiveness the school looks at participants SAT scores before starting the program and after completing the program .
The results are shown in the table.
We need to find the values in the Difference row of the table be interpreted
if we observe the table before value is less and after value is larger, and when we find the difference we get negative value.
A positive difference means that the students score decreased after the program
Negative difference means that the students score increased after the program.
Hence, Option B is correct, A positive difference means that the students score decreased after the program, and a negative difference means that the students score increased after the program.
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If Hailey divides 150 ounces of sports drink with her volleyball team equally into 12 bottles, what is the weight of sport drink in one bottle?
Answer:
12.5 oz
Step-by-step explanation:
150 oz / 12 = 12.5 oz
Jessica needs at least 60 units of vitamin A, 40 units of vitamin B, and 140 units of vitamin C each week. She can choose between Costless brand or Savemore brand vitamins. A Costless vitamin costs 5 cents and contains 3 units of vitamin A, 1 unit of vitamin B, and 2 units of vitamin C. A Savemore vitamin costs 7 cents and contains 1 unit of A, 1 of B, and 5 of C. Determine the minimum cost for Jessica to purchase all the vitamins she needs.
Answer:
$2.40
Step-by-step explanation:
Let x be the number of Costless vitamins and let y be the number of Savemore vitamins. Since we are trying to minimize cost, our objective function represents the cost of buying both Costless and Savemore vitamins. This function is defined by
C(x,y)=0.05x+0.07y
The first constraint is that Jessica needs 60 units of vitamin A and we know that Costless vitamins have 3 units of vitamin A and the Savemore vitamin has 1 unit of Vitamin A. This translates into the following inequality.
3x+y≥60
The second constraint is that Jessica needs at least 40 units of vitamin B and we know that Costless and Savemore vitamins each have 1 unit of vitamin B. This translates into the following inequality.
x+y≥40
The third constraint is that Jessica needs at least 140 units of vitamin C and we know that the Costless vitamin has 2 units of vitamin C and Savemore vitamins has 5 units of vitamin C. This translates into the following inequality.
2x+5y≥140
The fact that x and y must be positive numbers is represented by the following two constraints:
x≥0,y≥0
Using all of this information, our problem is as follows.
Minimize: C(x,y)=0.05x+0.07y
Subject to: 3x+y≥60
x+y≥40
2x+5y≥140
x≥0
y≥0
The corner points are:
(0,60),(70,0),(10,30),(20,20)
To minimize cost, we will substitute these points in the objective function to see which point gives us the lowest number. The results are listed in the table below.
The point (20,20) gives lowest cost: $2.40 .
What is x' value when 5x=10?
Answer:
x=2 because 5*2=10
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
5x = 10
or, x = 10/5
or, x = 2 :)) (would love if you could mark me the brainliest)
Two rectangles are similar. The first is 16 feet wide and 20 feet long. The second is 80 feet wide. What is the length of the second rectangle?
Answer:
100 feet long
Step-by-step explanation:
Answer:
length of second rectangle is
100 feet
angle abc and angle cbd are supplementary angles the measure of angle cbd is 41 degrees what is the measure of angle abc
Answer:
139
Step-by-step explanation:
180-41=139
Find the surface area of rectangular prism
Edit: I misread the question
Answer:
392 inches sq.
Step-by-step explanation:
To find the surface area, find the area of all side first and then add them together at the end. Area = (length)(width)
The problem gives you the length, width, and height of the prism which is all you need to find the dimensions of each side.
The area of the side facing us would be (9)(14)=126 in. sq. There's two of these sides, one is just hidden. So we would do (126)(2)=252 in sq to get the total area of these two sides.
Moving on to the side on the side, we would do (3)(9)=27, then (27)(2)= 54 in sq.
The side on top would be (14)(3)=42 and then (42)(2)= 84 in sq.
Now, for the final surface area we would just add these all together! 252+54+84=392, so the surface area would be 392 in sq.
If you have any questions you can ask!
Solve for x. 8x - 3 and 4x + 3 answer
After simplifying, your final answer is 3/2. Check the picture above for the work.
What is the radius of a circle (rounded to the nearest tenth) that has a circumference of 87 cm?
a
Answer:
13.9
Step-by-step explanation:
Answer:
To find the radius from the circumference of a circle, you have to do the following:
Divide the circumference by π, or 3.14 for an estimation. The result is the circle's diameter.
Divide the diameter by 2.
There you go, you found the circle's radius.
hace 6 días
ABCD is rotated counterclockwise about the origin. By how many degrees
was ABCD rotated?
A. 360 °
B. 90°
C. 180°
D. 270°
Answer:
image please
Step-by-step explanation:
A peach grower expects to produce 13,400 peaches if a crate holds 92 peaches how many crates will the grower need?
146 crates
13,400 peaches divided by 92 per crate is roughly 145.65 crates. You can’t have part of a crate so round up to get 146 crates
can someone help me , what is 525 x 358 ?
Answer:
187,950
Step-by-step explanation:
your welcome
Last week the price of apples at a grocery store was $1.60 per pound this week apples at the same grocery store are on sale at 10% discount what is the total price of four and
1/2 pounds of apples this week at the grocery store
Answer:
0.72
Step-by-step explanation:
first you take 1.60 and find 10 percent of it once you find that you times it by 4.5.
Answer:
$6.48
Step-by-step explanation:
10 = 0.16
1.60-0.16=1.44
1.44x4=5.76
1.44/2=0.72
5.76+0.72=6.48
Solve the inequality: −2x > −6
Answer:
[x < 3]
Step-by-step explanation:
-2x > -6
To solve inequalities, you need to get x alone.
Simply, divide both sides by -2,
-2x > -6
x > 3
When we divide a number by a negative during solving, we have to flip the inequality sign, therefore:
[x < 3]
Answer:
x<3
Step-by-step explanation:
Change signs on both sides of an inequality:
2x<6
x<3
What is true about the shape above ?
Answer: C
Step-by-step explanation:
It is C because the shape has two sets of parallel lines
Tina baked some cookies. 12 of her cookies were peanut butter. 12 of the peanut butter cookies also had chocolate chips. What fraction of the cookies were peanut butter and had chocolate chips?
Answer:
12/12 or 1
Step-by-step explanation:
Tina baked 12 peanut butter cookies, and it is said that 12 of them had chocolate chips. So, we can make a fraction, being 12/12
Ann found an orange caterpillar and a green caterpillar in her backyard. The green caterpillar was 3/4 of an inch long and the orange caterpillar was 2/3 of an inch long. How much longer was the green caterpillar than the orange caterpillar? *
Answer:
[tex]\huge\boxed{\sf \frac{1}{12} \ in.}[/tex]
Step-by-step explanation:
Length of green caterpillar = 3/4 in.
Length of orange caterpillar = 2/3 in.
To find how much longer was the green caterpillar than the orange one, we will subtract the length of orange caterpillar from the green one.Solution:
[tex]\displaystyle = \frac{3}{4} - \frac{2}{3} \\\\LCM = 4 \times \ 3 = 12\\\\= \frac{(3 \times 3 ) - (2 \times 4)}{12} \\\\= \frac{9-8}{12} \\\\= \frac{1}{12} \ in.\\\\\rule[225]{225}{2}[/tex]
Mr.arswan prepares a mixture for a science experiment. He measures 10.5 grams of wood shavings,150 grams of iron filings, and 18.50 grams of salt. What is the total mass of mr.arswan’s mixture
Answer:
A mixture is a combination of two or more kinds of matter (in our problem, wood, iron, and salt) which are physically mixed but not chemically combined. The sum of each of the matter that makes up the mixture is just the mass of the mixture
Mass wood sharing=10.5g
Mass iron filings=150g
Mass salt=18.5g
Step-by-step explanation:
HOPE IT HELPS
Shandar rents a pickup truck for her house move. She has to pay $96 for the first day, $88 for each
additional day she keeps the truck, and 45 cents for each mile she drives. She will also be able to use a
$25 coupon. Write an expression that represents the total cost when Shandar keeps the truck for h days
and travels a total of p miles.
Answer:
x = 96 + (88h + 0,45p) - 25
Step-by-step explanation:
Expression that represents the total cost when Shandar keeps the truck for h days and travels a total of p mile x= 71+ 88h +0.45p
What is equation?An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra. Algebra is used in math when you do not know the exact number in a calculation.
Let us consider 'h' the number of additional days
let p be number of miles she drives.
let x be the total cost
Now,
For h days fare will be = 88h
For p miles fare will be = 0.45p
Coupon= $25
Total cost = Charges for first day + fare of additional h days + charges of total p miles- coupon
x = 96 + (88h + 0,45p) - 25
x= 71+ 88h +0.45p
Hence, required equation is x= 71+ 88h +0.45p
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(8x+6) (10x+9y) 73° 110°
Answer:{x,y}={-1,-4}
Step-by-step explanation:
[2] 8x = 4y + 8
[2] x = y/2 + 1
// Plug this in for variable x in equation [1]
[1] 10•(y /2+1) - 9y = 26
[1] - 4y = 16
// Solve equation [1] for the variable y
[1] 4y = - 16
[1] y = - 4
// By now we know this much :
x = y/2+1
y = -4
// Use the y value to solve for x
x = (/2)(-4)+1 = -1
5th grade . pls help.
Dorothy is installing purple and
white tile in her kitchen. She made a diagram of the layout
showing the area of both colors. Write two expressions that
describe the area of the purple tile.
_______ marshes are the most diverse.
brackish
freshwater
salt
estuary
The brackish marshes are the most diverse.
What are Brackish Marshes?These are the sectors that are found in the estuaries that border the coasts, which is why they contain fresh and salt water, which is usually called brackish, where a great diversity of animals live, both salt water and adaptable to brackish water.
Within the fauna of this sector, you can find the archer fish, the Monodactylus argenteus and Scatophagus argus.
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Answer: freshwater
Step-by-step explanation: Edge 2022 states this
IF YOU ANSWER THIS I WILL MARK YOU THE BRAINLIEST
Answer:
The second I think I may be wrong though.
Step-by-step explanation:
It looks like the answer and it is the right one.
What is smaller than 1/4 but greater than 1/2 pls help
Answer: 3/8
Step-by-step explanation:
cuz it is
Question 20. Describe the graph of the following equation.
Answer: I'm really sorry its not clear enough for me to answer
Step-by-step explanation:
Write an inequality for the situation The value, v, of the necklace is greater than $83
Answer:
v > 83
Step-by-step explanation:
V: represents the necklace
83: V must be greater than 83
>: greater than symbol
Have a great day!
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