Answer:
7/128 or 5.46875%
Step-by-step explanation:
There are 2^7, or 128 combinations and only 7 of them have 6 heads. So the probability is 7/128, or 5.46875%.
Answer:
5.5%
Step-by-step explanation:
Find nCx=7C6=7
Then find (nCx)(P^x)(Q^n-x)=(7)(0.5^6)(0.5^1)=0.0546=5.5%
(1)
A piece of wire is bent to form a square of area 121 cm?
Calculate:
a)
The length of each side of the square
b)
The perimeter of the square
Step-by-step explanation:
that is really a problem ?
come on !
you know, the area of a square is side length × side length = length²
that is basically all of us learn as the very first thing when we are learning about squaring and multiplication.
how do we get the regular side length out of length² ?
we pull the square root. you have a calculator (at least on your computer, cell phone,...).
sqrt(121) = .... .... .... 11 ! tada !
and the perimeter of a square ... you really have to ask ?
it is the way all around the whole square. you need to go along every one of the 4 sides.
so, it is side length × 4 = 11×4 = 44 cm
again - you really needed help with THAT ?
Susan wants to make pumpkin bread and zucchini bread for the school bake sale. She has 15 eggs and 16 cups of flour in her pantry. Her recipe for one loaf of pumpkin bread uses 2 eggs and 3 cups of flour. Her recipe for one loaf of zucchini bread uses 3 eggs and 4 cups of flour. She plans to sell pumpkin bread loaves for $5 each and zucchini bread loaves for $4 each. Susan wants to maximize the money raised at the bake sale. Let x represent the number of loaves of pumpkin bread and y represent the number of loaves of zucchini bread Susan bakes. What is the objective function for the problem
Answer:
Objective Function z
z = 5*x + 4*y . to maximize
Step-by-step explanation:
eggs flour
P. Bread (x) 2 3
Z. Bread . (y) 3 4
Availability . 15 16
Constraints.
Eggs availability . 15
2*x + 3*y ≤ 15
Flour availability 16 cups
3*x + 4*y ≤16
Objective Function z
z = 5*x + 4*y . to maximize
The model:
z = 5*x + 4*y . to maximize
Subject to:
2*x + 3*y ≤ 15
3*x + 4*y ≤16
x ≥ 0 y ≥ 0 . integers
Answer: C
Step-by-step explanation:
Correct on edg 2020
Help anyone can help me do this question,I will mark brainlest.
Answer:
[tex]344 {cm}^{2} [/tex]
Step-by-step explanation:
[tex]area \: of \: the \: square \\ = 40cm \times 40cm \\ = 1600 {cm}^{3} \\ [/tex]
[tex]area \: of \: the \: circle \\ = \pi {r}^{2} \\ = 3.14 \times {(20)}^{2} \\ = 3.14 \times 400 \\ = 1256 {cm}^{2} \\ [/tex]
[tex]area \: of \: shaded \: region \\ = 1600 {cm}^{2} - 1256 {cm}^{2} \\ = 344 {cm}^{2} \\ [/tex]
Choose the algebraic description that maps the image ΔABC onto ΔA′B′C′.
Question 2 options:
(x,y) → (x – 4,y)
(x,y) → (x,y + 4)
(x,y) → (x,y – 4)
(x,y) → (x + 4,y)
Answer:
(x , y ) -----> (x , y -4)
Step-by-step explanation:
There is no change in x-coordinate
Compare the y-coordinate of A(-4 , 7) and A'(-4 , 3)
7 + a = 3
a = 3 - 7
a = -4
y-coordinate of A' = y-coordinate of A - 4
Phil’s age is 7 years more than times Peter’s age. Also, 4 times Phil’s age is 2 years less than twice Peter’s age. If x is Peter’s age in years, identify the equation that represents this situation and identify the solution to the equation.
Answer:
2x-4(x+7)=2
Step-by-step explanation:
Peter's age:x.... twice age:2x
Phil's age:x+7...4times age:4(x+7)
Difference if ages is 2
Hence; 2x-4(x+7)=2
Answer:
Answer
4.9/5
38
loitzl9006
Ambitious
54 answers
6.5K people helped
Answer:
x=25
Step-by-step explanation:
we know that "x" is Peter's age
assume that "y" is Phil's age
In the sentence "Phil's age is 7 years more than 1/5 times than Peter's age" are two things: "Phil's age": y and "1/5 times Peter's age": 1/5 x
create equation with these two things
y = 1/5 x
including "7 years more"
many people make a lot of errors with it, they dont know: y+7 = 1/5 x or y=1/5 x + 7 ?
in order to avoid mistakes
read the sentence and point, which: y or 1/5 x is greater and smaller
"Phil's age is 7 years more than ..."
so y is greater, and 1/5 x smaller
y = 1/5 x
greater = smaller
we must add 7 to smaller number to make an equality
greater = smaller + 7
y = 1/5 x + 7
Second sentence:
"4 times Phil's age is 2 years less than twice Peter's age."
Two things: "4 times Phil's age": 4y and "twice Peter's age": 2x
4y = 2x
read the sentence once again
"4 times Phil's age is 2 years less than (...)" , so 4y - smaller, 2x - greater
4y = 2x
smaller = greater
including "2 years less" we add 2 to a smaller number
smaller + 2 = greater
4y + 2 = 2x
Substitute y=1/5 x + 7 to the equation 4y+2 = 2x
Step-by-step explanation:
HELP!
11. When you multiply two decimals less than 1, how does the product compare to the factors?
Illustrate with an example.
the ctarting line there are water stations every
Answer:
When multiplying a number by a decimal less than one, the product will be smaller than the number being multiplied. This is because we are finding a fractional amount of a quantity. For example, 0.1 x 0.8 = 0.08, because the question is asking us to find one tenth of eight tenths.
Answer:
It will always be less than both.
Step-by-step explanation:
Multiplying by something smaller than 1 will always make the result smaller, so taking something like
0.8⋅0.5 means that we are taking half of 0.8
OR 45 of 0.5 (same thing)
either way it makes it smaller, which means we will get something smaller than both.
Find an equation for y (in terms of β and α). Then find tan y.
Answer:
See belowStep-by-step explanation:
Angle opposite to 6 is complementary of α:
90 - αSimilarly, angle opposite to side 4 of the triangle in the right side is:
90 - βSum of the interior angles of the triangle on the bottom:
90 - α + 90 - β + γ = 180γ = α + βtan γ = tan (α + β)From the smaller triangles we get:
tan α = 4/6 = 2/3tan β = 3/4Use the identity below and find the value of tan γ:
tan (α + β) = (tan α + tan β)/(1 - tan α tan β)tan γ = tan (α + β) = (2/3 + 3/4) / (1 - 2/3*3/4) =(17/12) / (1/2) = 17/6 = 2 5/6Opal can make 9 beaded bracelets per hour, and Lynette can make 6 per hour. Together how many hours should it take them to make 45 beaded bracelets?
Answer:
I'm pretty sure it is 3 hours.
Step-by-step explanation:
Well, when you add 9 plus 6, you get 15. Then you divie 45 by 15, which gives you three. Hope this helps. Good luck :D
The question is
"Mia has a large bag of sweets, If i share the sweets equally among 1,2,3,4,5 or 6 people, there will always be 1 sweet left over"
with step by step pls :(
Answer:
61
or
421
Step-by-step explanation:
Find the L.C.M. of 2,3,4,5,6 and add 1.
2| 2-3-4-5-6
-------------------
2| 1-3-2-5-3
---------------------
3| 1-3-1-5-3
----------------------
5| 1-1-1-5-1
----------------------
| 1-1-1-1-1-1
L.C.M.=2×2×3×5=60
reqd. number=60+1=61
if i distribute between 2,3,4,5,6 people then reqd number is 61
if Mia is also among those people or she gets also share
then the people are2,3,4,5,6 or 7
L.C.M. of 2,3,4,5,6,7=60×7=420
so reqd number is 420+1=421
25. Several functions represent different savings account plans. Which functions are linear?
A. y = 3.6 x2
B. y = 5.25 x
c. y = 0,5 Х
D.y = 2.5 x +7
E. y = 2.50(1.3)*
NEED HELPP
Answer:
b, c, d
Step-by-step explanation:
y=kx+b
or
y=kx
so y=5,25x-right
y=0,5x-right
y=2,5x+7-right
G(x)=3x+2 encontrar el dominio, codominio y haga tabla de valores
Answer:
x=
[tex]x = \frac{2}{g - 3} [/tex]
explainion is shown in picture above. Hope this helps
PLS HELP ME ON TTHIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION WHILE YOU ANSWER THE QUESTION!!
Which of the following is not a step in creating a box plot?
A. Order the data
B. Find the values for the five-number summary
C. Create a number line
D. Add all of the numbers in the data set and divide by the number of data items in the set
9514 1404 393
Answer:
D (compute the mean)
Step-by-step explanation:
A box plot is a visual representation of the 5-number summary of a set of data. It is plotted against a number line.
The 5-number summary of the data set is most easily determined from an ordered set of the data, so ordering the data is usually the first step. Since the 5-number summary is plotted against a number line, the next steps are finding the 5-number summary, and creating a suitable number line.
__
The business of adding the data and dividing by the number of data items is a description of computing the mean of the data. That value is not part of the 5-number summary, and is not needed in the creation of the box plot.
Solve the inequality 8 + n > 4.
Answer:
n>-4
Step-by-step explanation:
8+n>4
n>4-8
n>-4
Answer:
-4
Step-by-step explanation
Subtract 8 from 4 to get -4.
N = -4
God Bless.
Please help me to solve this two questions
Answer:
c.8,625grams of flour
4a. X=12
Y=30
Z=60
Step-by-step explanation:
For c. , You have to convert the mixed numbers to fractions.
2¾ cups of flour= 2×4=8
8+3=11
Answer: 11/4 (11 over 4)
You multiply the 2 (whole number) by the 4 (bottom number) and then you get *8*
You then take the 8 (which was your answer) and add 3. This will give you 11
You take the 4 and use it as your denominator (bottom number) for the 11. So no need to find a denominator, because you just use the 4
For the fruit cake, she uses *1½* cups of flour more than carrot cake
Calculation:
1½ converted to an improper fraction= 1×2=2
2+1=3
Answer: 3/2 (3 over 2)
"Customer orders *3* carrot cakes and *4* fruit cakes
How many cups of flour are required to bake for the cakes ordered by the customer?"
11/4÷3= 8,25grams
3/2÷4= 0,375grams
8,25+0,375=8,625grams in total
*Feel free to correct me as I might be wrong!*
The sum of a rational number and an irrational number is irrational.
Always true,sometimes true, never true
=========================================================
Explanation:
We can prove this by contradiction.
Let's say
A = some rational numberB = some irrational numberC = some other rational numberand
A+B = C
We'll show that a contradiction happens based on this.
If A is rational, then A = p/q where p,q are two integers. The q cannot be zero.
If C is rational, then C = r/s for some other integers. We can't have s be zero.
Note the following
A+B = C
B = C - A
B = r/s - p/q
B = qr/qs - ps/qs
B = (qr - ps)/qs
B = (some integer)/(some other integer)
This shows B is rational. But this is where the contradiction happens: We stated earlier that B was irrational. A number cannot be both rational and irrational at the same time. The very definition "irrational" literally means "not rational".
In short, I've shown that if A+B = C such that A,C are rational, then B must be rational as well.
The template is
rational + rational = rational
Therefore, we've shown that if A is rational and B is irrational, then C cannot possibly be rational. C is irrational.
Another template is
rational + irrational = irrational
In a math class of 28 students, 14 boys and 14 are girls. On a unit test, 5 boys and 9 girls made an A grade. A student is chosen at random from the class. What is the probability of choosing a girl or an A student?
A. 0.82
B. 0.68
C. 0.14
D. 0.50
Answer:
The probability of choosing a girl is 1/2.
The probability of choosing an A student who is a BOY is 5/28.
1/2 = 14/28, and 14/28 + 5/28 = 19/28. This can be simplified to 0.68
Thus, the answer is B. 0.68
Let me know if this helps!
The required probability of choosing a girl or an A student is 0.82. Option A is correct.
Given that,
In a math class of 28 students, 14 boys and 14 are girls. On a unit test, 5 boys and 9 girls made an A grade.
A student is chosen at random from the class. What is the probability of choosing a girl or an A student is to be determined.
Probability can be defined as the ratio of favorable outcomes to the total number of events.
Total sample space = 28
Number of girls = 14
Number of boys = 14
Number of girls A grade student = 9
probability of a girl = 14/28 = 0.5
probability of A grader girl = 9 / 28 = 0.32
Now the probability of choosing a girl or an A grader girl student,
= 0.32 + 0.5
= 0.82
Thus, the required probability of choosing a girl or an A student is 0.82. Option A is correct.
Learn more about probability here:
brainly.com/question/14290572
#SPJ5
What is x in the diagram below?
Answer:
3rd option, 2√10
Step-by-step explanation:
x²=4×10
or, x=√(4×10)
or, x=2√10
Answer: C, 2√10
Step-by-step explanation:
What is a negative rational number times a positive integer?
A) A negative integer
B) A positive rational number
C) A negative rational number
D) An irrational number
Answer:
C
Step-by-step explanation:
The product of a negative rational number and a positive integer is a negative rational number
Answer: C (A Negative Rational Number)
Step-by-step explanation
A Negative number mutiplied by a positive number is a negative number.
Please click thanks and mark brainliest if you like
what is 2,034,627 rounded to the nearest ten thousand
Answer:
rounded to the nearest ten thousand
2,034,627
2,030,000
Given g(x) = -x + 4, find g(5).
Answer:
g(5) = -1
Step-by-step explanation:
Let x = 5.
[tex]g(5)=-(5)+4\\g(5)=-5+4\\g(5)=-1[/tex]
Answer:
-1
Step-by-step explanation:
g(x)= -x+4
then substitute 5 on x
=-(5)+4=-1
Factorize:
6 + 13mn + 7m² n²
explanation
Answer:
1(6+13mn+7m^2n^2)
Step-by-step explanation:
The coefficients and variables in this equation have a common factor of 1, therefore the equation will go back to it's original state if you use 1 as the common factor.
I hope this helps and sorry if am wrong
One hamburger and one coke cost $3.20. Three hamburgers and one coke cost $8.00. Find the cost of one hamburger.
$2.40
$2.60
$4.80
$0.80
$2.10
Answer:
$0.80
Step-by-step explanation:
-3 (1x + 1y = 3.2)
3x + 1y = 8
----------------
-3x - 3y = -9.6
+
3x + 1 y = 8
-------------------
0x -2y = -1.6
÷ -2
-----------------
y = 0.8
one hamburger costs $0.80
which is the right equation
Answer:
C
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{2}{3}[/tex] x + 1 ← is in slope- intercept form
with slope m = [tex]\frac{2}{3}[/tex]
Parallel lines have equal slopes , then
the slope of a parallel rail has slope = [tex]\frac{2}{3}[/tex]
The only equation with this slope is
y = [tex]\frac{2}{3}[/tex] x + 3 ← could represent the path of the second rail → C
Can anyone help?
For what values of K does the equation (2k+1)x^2 +2x= 10x - 6 have two real and equal roots?
For the equation (2k + 1)x² + 2x = 10x - 6 to have two real and equal roots, the value of k = 5/6.
Since the equation is (2k + 1)x² + 2x = 10x - 6, we collect subtract 10x from both sides and add 6 to both sides.
So, we have (2k + 1)x² + 2x - 10x + 6 = 10x - 6 - 10x + 6
(2k + 1)x² - 8x + 6 = 0
For the equation, (2k + 1)x² + 2x = 10x - 6 to have two real and equal roots, this new equation (2k + 1)x² - 8x + 6 = 0 must also have two real and equal roots.
For the equation to have two real and equal roots, its discriminant, D = 0.
D = b² - 4ac where b = -8, a = 2k + 1 and c = 6.
So, D = b² - 4ac
D = (-8)² - 4 × (2k + 1) × 6 = 0
64 - 24(2k + 1) = 0
Dividing through by 8, we have
8 - 3(2k + 1) = 0
Expanding the bracket, we have
8 - 6k - 3 = 0
Collecting like terms, we have
-6k + 5 = 0
Subtracting 5 from both sides, we have
-6k = -5
Dividing through by -6, we have
k = -5/-6
k = 5/6
So, for the equation (2k + 1)x² + 2x = 10x - 6 to have two real and equal roots, the value of k = 5/6.
Learn more about quadratic equations here:
https://brainly.com/question/18162688
the product of two number is 105. if one number is -3 what is the other number
Answer: -35
Step-by-step explanation:
You can check it by multiplying -3 and -35 you should get 105
If f(x) = 2x ^ 2 + 3 and g(x) = x ^ 2 - 7 , find (f - g)(x) .
Answer:
x^2 + 10
Step-by-step explanation:
f(x) = 2x ^ 2 + 3
g(x) = x ^ 2 - 7
(f - g)(x) =2x ^ 2 + 3 - (x ^ 2 - 7 )
Distribute the minus sign
=2x ^ 2 + 3 - x ^ 2 + 7
Combine like terms
= x^2 + 10
find the missing side of the triangle.
Answer:
x = 17
Step-by-step explanation:
x ^2 = 8^2+ 15^2
√x^2 =√64+225
x=17
Answer:
17cm.
Step-by-step explaination:
The given triangle is a right angled triangle.
Using Pythagorean Theorem,
a² + b² = c²
Putting the given values in the equation;
(15)² + (8)² = c²
225 + 64 = c²
289 = c²
17² = c² (square root of 289 = 17)
17 = c
c = 17
Therefore, the missing side of the triangle is equal to 17 cm.
how do i convert y = 6x into y = mx + b form?
Answer:
it already is in that form
y = 6x
technically Y = 6x + 0 could be the answer...
but in math we tend to not rite "obvious" information
to reduce clutter and confusion
+1[tex]x^{1}[/tex] is technically correct but we drop the + sign for positive numbers
and also drop the exponent if it is a 1 ... similarly
+1[tex]x^{1}[/tex] + 0 + 0 + 0 would also be silly and we don't write the zeros
+1[tex]x^{1}[/tex] + 0 + 0 + 0 = x
Step-by-step explanation:
Rationalize the denominator and simplify:
a) (√3 - √2)/( √3+√2)
b) (5+2√3)/(7+4√3)
c) (1+√2)/(3 - 2√2)
Answer:
A) (√3-√2)/(√3+√2)
Step-by-step explanation:
i think so
Translate this phrase into an algebraic expression.
the quotient of 14 and a number
Answer:
Step-by-step explanation:
Let the number be x
14 ÷ x = [tex]\frac{14}{x}[/tex]
Answer:
14 / x
Step-by-step explanation:
quotient = /
14 = 14
a number = the variable, let's call it x
Brainliest please!
