Answer:
0.03177
Step-by-step explanation:
Prob (Bld grp) ~ Bin (N, P)
N = 15, P = Prob of success ie 'O' blood type = 0.45
P (BG = 0) for 3 people = (N c X) P^X . (1-P)^N-X
As X = 3. So Prob = (15 c 3) (0.45)^3 (0.55)^12
= 455 (0.091125) (0.0007662)
= 0.03177
a. The probability that exactly three have blood type O is 0.03177
Calculation of the probability:Since
Prob (Bld grp) ~ Bin (N, P)
So
N = 15,
P = Prob of success ie 'O' blood type = 0.45
Now
P (BG = 0) for 3 people = (N c X) P^X . (1-P)^N-X
So,
As X = 3. So Prob = (15 c 3) (0.45)^3 (0.55)^12
= 455 (0.091125) (0.0007662)
= 0.03177
hence, The probability that exactly three have blood type O is 0.03177
Learn more about probability here: https://brainly.com/question/21102470
1. We have 50 pounds of dog food to last for 10 days. Each day we use the same
amount of food. How much dog food is used each day?
Answer:
5 pounds
Step-by-step explanation:
50 pounds of dog food divided by 10 days = 5 pounds per day for 10 days.
fun quashen answer this you will get 20 pointes it must be corret a clue it not B , D have fun be fast
Answer:
A. no, the sale price is about 60% of $65 or $39. Because $38 is less than $39, you do not have enough money.
Step-by-step explanation:
Given parameters:
Discount on sales = 40%
Amount with me = $38
Original sales price = $65.99
Unknown:
Will you have enough money to buy the item = ?
Solution:
To solve this problem, let us find the discount amount on the selling price;
= [tex]\frac{40}{100}[/tex] x 65.99
= $26.39
So, the price of the item now = Original sales price - discount amount
= $65.99 - $26.39
= $39.6
$39.6 can also be derived from 60% of $65.99
This amount is more than amount at hand.
Write the decimal represented by each shaded square.
Answer:
1
Step-by-step explanation:
because all of the squares are shaded so it would be 1 whole
Graphing combined functions! (25 points)
Step-by-step explanation:
toke a while to finish it, but there you go
cheers and have a good night :D
How can you do a story from this equation:3+(4x12)
Answer:
A car dealership has a special on rentals. They charge a one time fee of $3 and then $4 per day for the rental. If John gets a rental from this dealership, how much will his total be after 12 days?
Step-by-step explanation:
Hope this helps!
Can someone please help, ty!! (Will mark brainliest)
[tex]\large\underline{\bf\red{Solution:-}}[/tex]
Given two points are :-
( -1 , 3)( 0 , -5)So , we know Two point form into equⁿ using a formula , which is
[tex]\boxed{\purple{\bf{\dag y - y_1 = \dfrac{y_2-y_1}{x_2-x_1}(x-x_1)}}}[/tex]
So, on substituting respective values ,
=> y - 3 = (-5-3)/0-(-1) × ( x - 3)
=> y - 3 = -8/1 ( x - 3)
=> y - 3 = -8x +24
=> 8x + y -27 = 0
Express each of these statements using quantifiers. Then form the negation of the statement so that no negation is to the left of a quantifier. Next, express the negation in simple English. In each case, identify the domain and specify the predicates.
a. No one has lost more than one thousand dollars playing the lottery.
b. There is a student in this class who has chatted with exactly one other student.
c. No student in this class has sent e-mail to exactly two other students in this class.
d. One student has solved every exercise in this book.
e. No student has solved at least one exercise in every section of this book.
Answer and Step-by-step explanation:
Not p = ¬p
P or q = p ∨ q
P and q = p ∧ q
If p then q = p → q
P if and only if q = p ↔ q
Existential quantification: There exist an element x in the domain such that p(x).
Universal quantification: p(x) for all values of x in the domain.
(a) No one has lost more than one thousand dollars playing the lottery.
Let A(x) means ‘x has lost more than one dollars playing the lottery’
It can also write as “there does not exists a person that lost more than one thousand dollars playing”
¬Ǝ x A (x)
Negation of this statement:
By using double negation law:
¬ [¬Ǝ x A (x)] ≡ Ǝ x A(x)
(b) There is a student in this class who has chatted with exactly one other student.
Let B(x,y) means “ x has chatted with y” and domain is all students of this class.
We can write the given sentence as:
“There is a student in the class who has chatted with one student and this student is not himself and for all people the student chatted with, this student has to be himself or the one student he chatted with”
Ǝ x Ǝ y[B ( x, y) ∧ x ≠ y ∧ ∀ z (B(x,y) → ( z = x v z = y))]
The negation:
¬ Ǝ x Ǝ y[B ( x, y) ∧ x ≠ y ∧ ∀ z (B(x ,y) → ( z = x v z = y))]
By using De Morgan’s law for quantifiers:
≡∀x ¬ Ǝ y [B ( x, y) ∧ x ≠ y ∧ ∀ z (B(x ,y) → ( z = x v z = y))]
≡∀x ∀ y [B ( x, y) ∧ x ≠ y ∧ ∀ z (B(x ,y) → ( z = x v z = y))]
De Morgan’s law:
≡∀x ∀ y [¬ B ( x, y) v ¬ ( x ≠ y) v ∀ z (B(x ,y) → ( z = x v z = y))]
By using De Morgan’s law for quantifiers:
≡∀x ∀ y [¬ B ( x, y) v x= y v Ǝ z¬ (B(x ,z) → ( z = x v z = y))]
(c) No student in this class has sent e-mail to exactly two other students in this class
Let c(x, y) means “ x has sent email to y” and the domain is all student of class.
Using double negation law:
Ǝ x Ǝ y Ǝ z [c(x, y) ∧c(x ,z) ∧ x≠ y ∧ x ≠z ∧ y ≠ z ∀ w (c(x,w) → ( w = x v w = y v w = z)]
There is a student in class that has sent email to exaxtly two other students in class.
(d) One student has solved every exercise in this book
Let D(x , y) mean student x has solved exercise y in this book.
The negation:
Ǝx∀yD(x,y)
Use De Morgan’s law for qualifiers:
≡∀ x Ǝ y ¬D(x, y)
(e). No student has solved at least one exercise in every section of this book.
Let E(x, y,z) be student x has solved exercise y in section z of this book.
We can write “there does not exist a student that solved at least one exercise in all sections of this book”
¬Ǝ x Ǝ y ∀ Z E(x, y, z)
Negation:
≡¬ [¬ Ǝ x Ǝ y ∀ Z E(x, y, z) ]
Use double negation law:
≡ Ǝ x Ǝ y ∀ Z E(x, y, z)
Terrell sells clay pots. He sells 2 clay pots for $6, 3 clay pots for $9, and 4 clay pots for $12. What is the unit rate of dollars per clay pot?
A
1
B
2
C
3
D
4
Henry ran 3.43 kilometers last week. He ran 6.25 kilometers this week. How many
kilometers did run in all?
Answer:
Henry ran 3.43 kilometers last week. He ran 6.25 kilometers this week. How many
kilometers did run in all?
Step-by-step explanation:
Henry ran 3.43 kilometers last week. He ran 6.25 kilometers this week. How many
kilometers did run in all?
Answer:
9.68 kilometers
Step-by-step explanation:
What is the slope of the line that passes through the points (-10,8)and (-15,-7)
Answer:
m = 3
Step-by-step explanation:
Use the slope formula to find the slope m .
f(x) =x^6-3x+9
g(x)=3x^3+2x^2-4x-9
Find (f-g)(x)
Step-by-step explanation:
(f-g)(x)=
[tex]x ^{2} - 3x + 9 - (3 {x}^{3} + 2 {x}^{2} - 4x - 9) = \\ x ^{2} - 3x + 9 - 3 {x}^{3} - 2 {x}^{2} + 4x + 9 = \\ - 3 {x}^{3} - x ^{2} + x + 18[/tex]
If 1 foot 12 inches, which expression can be used to find the
number of inches in 6 feet?
Ao
1 foot
12 inches
x 6 feet
B
12 inches
1 foot
x 6 feet
c
0
12 inches
1 foot
o feel
ofeet
1 foot
12 inches
Х
6 feet
А
B
c
С
D
We
Using proportions, it is found that the expression that can be used to find the number of inches in 6 feet is given by:
6 feet = 6 x 12 inches = 72 inches.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, the rule of three is given as follows:
1 foot - 12 inches.
6 feet - x inches.
Applying cross multiplication:
6 feet = 6 x 12 inches = 72 inches.
More can be learned about proportions at https://brainly.com/question/24372153
On two examinations, you have grades of 87 and 86. There is an optional final examination, which counts as one grade. You decide to take the final in order to get a course grade of Ameaning a final average of at least 90 a. What must you get on the final to in the course? b. By taking the final, if you do poorly, you might risk the B that you have in the course based on the first two exam grades. your final average is less than , you lose your B in the courseDescribe the grades on the final that will cause this to happen
Step-by-step explanation:
We have
87+86+x
T is the total scores
n is number of tests done = 3
T/n is greater than or equal to 90
To get minimum test
T/n = 90
T = 90*n
= 90n
We solve for x
Remember n = 3
90x3 = 270
270 = 87+86+x
270 = 173+x
X = 270-173
X = 97
1.
X = 97
2.
You didn't add a value in your part b question. I used 80 though.
T/n < 80
T<80n
80x3= 240
T<240
87+86+x<240
X<240-173
X<67
X has to be less than 67 so we conclude that if x <=67 b grade will be lost.
Mr. Waxman is helping with deliveries for a shipping company. The graph shows a linear model for his delivery times on different days.
(A) Identify two points on the line and write the coordinate pairs below.
(B) Use your two points to find the slope, and make sure to show your work.
(C) Use your slope from Part B and find the equation of the line in point-slope form. Show your work and work through the steps to transform the equation from point-slope form into slope-intercept form.
(D) Based on the equation you found in Part C, predict how long it take Mr. Waxman to deliver his packages on Day 0. Approximately how much did his delivery time decrease per day?
Answer: a- (7,7) (4,19) b- m=-12/3=-4/1=-4 c- y=4x+35 d- 48min, it increases by 12min a day
Step-by-step explanation:
i did the assignment
Mr. Waxman's delivery is an illustration of a linear function.
(a) Two points on the graph
The points are: (4,19) and (6,11)
(b) The slope of the graph
The slope (m) is calculated as:
[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]
So, we have:
[tex]\mathbf{m = \frac{11 - 19}{6- 4}}[/tex]
[tex]\mathbf{m = \frac{-8}{2}}[/tex]
[tex]\mathbf{m = -4}[/tex]
The slope of the graph is -4
(c) The equation of the graph
In point-slope form, we have:
[tex]\mathbf{y -y_1 = m(x - x_1)}[/tex]
So, we have:
[tex]\mathbf{y -4 = -4(x -19)}[/tex]
In slope intercept form, we have:
[tex]\mathbf{y = -4(x -19) + 4}[/tex]
Open brackets
[tex]\mathbf{y = -4x +76 + 4}[/tex]
[tex]\mathbf{y = -4x +80}[/tex]
The equation of the graph is: [tex]\mathbf{y = -4x +80}[/tex]
(d) The value of the function at day 0
This means that x = 0
So, we have:
[tex]\mathbf{y = -4(0) +80}[/tex]
[tex]\mathbf{y = 0 +80}[/tex]
[tex]\mathbf{y = 80}[/tex]
Hence, it will take 80 minutes to deliver the package on day 0
Read more about linear functions at:
https://brainly.com/question/20286983
What is the other solution to the equation?
A: x=-6
B: x=-4
C: x=2
D: x=4
Answer:
to what
Step-by-step explanation:
i can't see the question
Put the numbers in order from smallest to largest.
1 .
9.15
fourth
2 .
9.376
second
3 .
9.51
third
4 .
9.3
what would it be
Answer:
Step-by-step explanation:
1/4
1/3
1/2
1
2
3
4
9.15
9.3
9.376
9.51
does anyone need to talk/rant about something because im here for you
Answer: sure
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
ok so I just got an email from my school saying that you need to do half the semester in ONE WEEK and I'm like, why you didn't need to do this. And also my parents are expecting me to do it ALL IN 2 DAYS AND GET AN A honestly I am very sad I am actually doing an assignment right now lol.
Find the midpoint between the points (7, -2) and (-4, 2). Write your answer in the proper form using parentheses
Answer:
( 1.5, 0)
Step-by-step explanation:
1. Find the coordinates ; in this case (7,-2) and (-4, 2)
2. Plug it into the formula (x1 + x2 ÷ 2 ) , (y1 + y2 ÷ 2)
3. ( 7 + -4 ÷2) = 1.5 And ( -2 + 2 ÷ 2) = 0
4. Therefore, the midpoint is ( 1.5, 0 )
According to a survey, 74% of households said that they have never purchased organic fruits or vegetables. Suppose that this result is true for the current population of households. a. Let x be a binomial random variable that denotes the number of households in a random sample of 10 who have never purchased organic fruits or vegetables. What are the possible values that x can assume
Complete Question
According to a survey, 74% of households said that they have never purchased organic fruits or vegetables. Suppose that this result is true for the current population of households. a. Let x be a binomial random variable that denotes the number of households in a random sample of 10 who have never purchased organic fruits or vegetables. What are the possible values that x can assume? Integers to . b. Find to 3 decimal places the probability that exactly 6 households in a random sample of 10 will say that they have never purchased organic fruits or vegetables. Use the binomial probability distribution formula. Probability
Answer:
a
The possible value of x is 0, 1 ,2,3,4,5,6,7,8,9,10
b
[tex]P(X = 6) = 0.158 [/tex]
Step-by-step explanation:
From the question we are told that
The proportion that stated that they have not purchased organic fruits or vegetables is [tex]p =0.74[/tex]
The sample size is n = 10
The possible value x can take is 0, 1 ,2,3,4,5,6,7,8,9,10
Generally the probability that exactly 6 households in a random sample of 10 will say that they have never purchased organic fruits or vegetables is mathematically represented as
[tex]P(X = 6) = ^nC_6 * p^{6}* (1-p)^{n-6}[/tex]
Here C denotes combination
So
[tex]P(X = 6) = ^{10}6 * (0.74)^{6}* (1-0.74)^{10-6}[/tex]
=> [tex]P(X = 6) = 0.158 [/tex]
How do you describe a quadratic equation?
Answer:
an equation of the second degree, meaning it contains at least one term that is squared.
Step-by-step explanation:
A quadratic equation contains at least one term that is squared. The standard form is ax² + bx + c = 0 with a, b, and c being constants, or numerical coefficients, and x is an unknown variable.
what is infinity -91924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124v91924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124v91924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124v919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124
Answer:
a number greater than any assignable quantity or countable number (symbol ∞).
Step-by-step explanation:
A line is decreasing from left to right and crosses the y-axis at-5. Which of the following equations matches the
description of the line?
A. y=5x=5
B. y=-5x-5
C. y=5x -5
D. y=-5x + 5
Answer:
B
Step-by-step explanation:
y=mx+b is the slope-intercept form. Y will remain the same. Since the slope is decreasing, use a negative. The y-intercept is -5, so substitute that for b.
-0.5x +12.5 = -X+18 can you please answer?
Answer:
x=110
Step-by-step explanation:
-.5x+12.5=-x+18
add x to -x to move it
then add 1x to -.5x to get .5
soo.....
.5x+25.5=18
the subtract 12.5 from both sides to get
.5x=5.5
then divide .5 from both sides to get
x=110
Write a positive or negative number for each situation.
a. you win $150 in a contest
b. a loss of 15 yards in a football game
c. 75 feet below sea level
d. 35 degrees above 0 degrees F
e, a debt of $24.75
Luis and Roberto are donating some of their baseball cards to the library. Luis started with 50
cards and gave away X number of them. Roberto started with 80 cards and gave away 3 times as
many as Luis had given away.
If they both now have the same number of baseball cards, how many baseball cards did Roberto
give away?
Answer:
X=15
Step-by-step explanation:
50−x=80−3x
Step 1: Simplify both sides of the equation.
50−x=80−3x
50+−x=80+−3x
−x+50=−3x+80
Step 2: Add 3x to both sides.
−x+50+3x=−3x+80+3x
2x+50=80
Step 3: Subtract 50 from both sides.
2x+50−50=80−50
2x=30
Step 4: Divide both sides by 2.
2x \2 = 30 \2
Answer:
x=15
Solve for b.
p=9(b-5)
Answer:
Step-by-step explanation:
p=9(b-5)
p=9b-45
p-9b=-45
-9b=-45-p
b=5+(p/9)
Which refers to the standards used to make a judgment or decision when designing a product?
prototypes
criteria
designs
investigations
Answer:
criteria
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
22/50 of a number is what percentage of that number
Answer:
44percent
Step-by-step explanation:
in order to find the percent you just divide the numerator by the denomincator, hope this helps!
Which explains how you round 212.809 to the nearest hundredth?
A.
Since the digit in the hundredths place is less than 5, keep the digit in the hundredths place. Then drop the digit in the thousandths place.
B.
Since the digit in the hundredths place is less than 5, keep the digit in the tenths place. Then drop the digit in the hundredths and thousandths places.
C.
Since the digit in the thousandths place is greater than or equal to 5, increase the digit in the hundredths place by 1. Then drop the digit in the thousandths place.
D.
Since the digit in the thousandths place is greater than or equal to 5, keep th
Answer:
c
Step-by-step explanation:
A person with a height of 2 meters stand near a tree. The tree casts a shadow that is 30 meters long and the person has a shadow that is 3
meters long. What is the height of tree
9514 1404 393
Answer:
20 m
Step-by-step explanation:
The 30 m shadow of the tree is 10 times the 3 m length of the person's shadow. We expect the tree to be 10 times as tall as the person:
10(2 m) = 20 m . . . height of the tree