Answer:
Could you show the diagram?
Mrs kin picked some tomatoes from her garden. She use 5/9 of her tomatoes to make pasta sauce. Then she used 5/8 of the remainder to make a salad and saved the rest for the next day. What fraction of the tomatoes did mr kin saved
Answer:
1/6 of the tomatoes
Step-by-step explanation:
So first, after she uses 5/9 she has 1 - 5/9 = 4/9 of her tomatoes left. Then, she uses 5/8 of that 4/9 to make a salad, so she used 5/8 * 4/9 = 5/18 of her tomatoes overall. That means that she has 4/9 - 5/18 = 8/18 - 5/18 = 3/18 = 1/6 of her tomatoes saved.
Answer:
2 and 21/32
Step-by-step explanation:
Use the following definition of absolute value to prove the given statements: If x is a real number, then the absolute value of x , | x | , is defined by: | x | = { x if x ≥ 0 − x if x < 0 For any real number x , | x | ≥ 0 . Moreover, | x | = 0 implies x = 0 . For any two real numbers x and y , | x | ⋅ | y | = | x y | . For any two real numbers x and y , | x + y | ≤ | x | + | y | .
Answer:
Proved all parts below.
Step-by-step explanation:
As given ,
|x| = [tex]\left \{ {{x , x\geq 0} \atop {-x, x< 0}} \right.[/tex]
To prove- a) For any real number x , | x | ≥ 0 . Moreover, | x | = 0 ⇒ x = 0
b) For any two real numbers x and y , | x | ⋅ | y | = | x y | .
c) For any two real numbers x and y , | x + y | ≤ | x | + | y | .
Proof -
a)
As given x is a real number
Also , by definition of absolute value of x , we get
| x | ≥ 0
Now,
if |x| = 0
⇒ x = 0 and -x = 0
⇒ x = 0 and x = 0
⇒ x = 0
∴ we get
| x | = 0 ⇒ x = 0
Hence proved.
b)
To prove - | x | ⋅ | y | = | x y |
As we have,
|x| = [tex]\left \{ {{x , x\geq 0} \atop {-x, x< 0}} \right.[/tex]
|y| = [tex]\left \{ {{y , y\geq 0} \atop {-y, y< 0}} \right.[/tex]
|xy| = [tex]\left \{ {{xy , x,y > 0 and x,y < 0} \atop {-xy, x > 0, y< 0 and x <0 , y > 0}} \right.[/tex]
We have 4 cases : i) when x > 0 , y > 0
ii) when x > 0 , y < 0
iii) when x < 0, y > 0
iv) when x < 0, y < 0
For Case I - when x > 0 , y > 0
⇒ |x| = x, |y| = y
⇒|x|.|y| = xy
For Case Ii - when x > 0 , y < 0
⇒ |x| = x, |y| = -y
⇒|x|.|y| = -xy
For Case Iii - when x < 0 , y > 0
⇒ |x| = -x, |y| = y
⇒|x|.|y| = -xy
For Case IV - when x < 0 , y < 0
⇒ |x| = -x, |y| = -y
⇒|x|.|y| = (-x)(-y) = xy
∴ we get , from all 4 cases
| x | ⋅ | y | = | x y |
Hence Proved.
c)
To prove - | x + y | ≤ | x | + | y |
Let
|x| = |x + y - y|
≥ |x + y| - |y| ( Triangle inequality)
⇒ |x| + |y| ≥ |x + y|
Hence Proved.
Biologists estimate that a randomly selected baby elk has a 44% chance of surviving to adulthood. Assume this estimate is
correct. Suppose researchers choose 7 baby elk at random to monitor. Let X = the number that survive to adulthood.
What is the probability that more than 4 elk in the sample to survive to adulthood?
O 0.6294
O 0.2304
0.8598
0.1402
O 0.3706
Answer:
0.1402
Step-by-step explanation:
For each baby elk, there are only two possible outcomes. Either they survive adulthood, or they do not survive. The probability of an elk surviving adulthood is independent of other elks. So we use the binomial probability distribution 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.
Biologists estimate that a randomly selected baby elk has a 44% chance of surviving to adulthood.
This means that [tex]p = 0.44[/tex]
Suppose researchers choose 7 baby elk at random to monitor.
This means that [tex]n = 7[/tex]
What is the probability that more than 4 elk in the sample to survive to adulthood?
This is:
[tex]P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{7,5}.(0.44)^{5}.(0.56)^{2} = 0.1086[/tex]
[tex]P(X = 6) = C_{7,6}.(0.44)^{6}.(0.56)^{1} = 0.0284[/tex]
[tex]P(X = 7) = C_{7,7}.(0.44)^{7}.(0.56)^{0} = 0.0032[/tex]
[tex]P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7) = 0.1086 + 0.0284 + 0.0032 = 0.1402[/tex]
0.1402 probability that more than 4 elk in the sample to survive to adulthood.
Using the concept of binomial probability, the probability that more than 4 survive is 0.1402
Using the binomial probability formula :
[tex] P(x = x) = nCx \times p^{x} \times q^{(n-x)} [/tex] p = probability of success = 0.44q = 1 - p = 1 - 0.44 = 0.56 n = number of trials = 7The probability that more than 4 survive can be defined thus :
[tex] P(x > 4) = p(x = 5) + p(x = 6) + p(x = 7) [/tex]Using a binomial probability calculator :
[tex] P(x > 4) = 0.1086 + 0.0284 + 0.0032 [/tex]
[tex] P(x > 4) = 0.1402 [/tex]
Hence, the probability that more than 4 survive is 0.1402
Learn more : https://brainly.com/question/15929089
solve for x, x+25 70 degrees
Answer:
70-25=45
45+25=70
Step-by-step explanation:
36 over 9 = g over 1
Answer:
4/1
Step-by-step explanation:
g is 4
What is -20 + 1/2 in a decimal form
Answer: The answer is -19.5
Step-by-step explanation: This is because 1/2 is .5 in decimal form. A negative PLUS a positive = is negative since the -20 is larger than .5
Answer:
the answer would be -19.5 :)
Step-by-step explanation:
Given that f(x)=x^2-1
A) find f(5)
B) find f^-1(x)
C)f^-1(8)
Answer:
a) f(5) = 24
b) The inverse of given function
f⁻¹ ( x ) = √x+1
c) f⁻¹ ( 8 ) = √9 =3
Step-by-step explanation:
Explanation:-
Given f(x) = x² - 1
a)
f(5) = 5² -1 = 25-1 =24
b)
put y = f(x) = x² - 1
⇒ y = x² - 1
⇒ x² = y + 1
⇒ x = √y+1
⇒ f⁻¹ ( y ) = √y+1 ( ∵ f⁻¹ ( y) =x)
The inverse of given function
f⁻¹ ( x ) = √x+1
c) put x=8
f⁻¹ ( 8 ) = √8+1 = √9 =3
Plz help due tomorrow
Answer:
Step-by-step explanation:
1/6 x 1/5 + 1/30
= 1/30 + 1/30
= 2/30
=1/15
Evaluate w divided by z if w= 6/7 and z= 3
Answer:
[tex]\dfrac{w}{z}=\dfrac{2}{7}[/tex]
Step-by-step explanation:
Given that,
[tex]w=\dfrac{6}{7}[/tex]
z = 3
We need to find [tex]\dfrac{w}{z}[/tex].
Put w = 6/7 and z = 3 in the w/z
[tex]\dfrac{w}{z}=\dfrac{\dfrac{6}{7}}{3}\\\\=\dfrac{6}{7}\cdot\dfrac{1}{3}\\\\=\dfrac{2}{7}[/tex]
So, [tex]\dfrac{w}{z}=\dfrac{2}{7}[/tex]. Hence, the correct answer is 2/7.
please look at the question, I uploaded it!
Answer:
angle JKL is 21
Step-by-step explanation:
the angle of the two triangles are the same, so (2x + 1) = (3x - 9)
You would then find the x, which equals to 10.
Then replace x with ten with the equation.
Convert each of these fractions into a percent.
a. 3/20 -
b. 1/20 -
c. 12/50 =
d. 80/200 =
e. 8/25 =
f. 8/10 =
g. 16/400 =
h. 24/300 =
i. 3/5 =
j. 3/2 =
k. 45/500 =
I. 30/25 =
Answer:
15%
5%
24%
40%
32%
80%
32%
54%
60%
66%
9%
89%
Step-by-step explanation:
What is the length of the hypotenuse to the nearest hundredth place in the diagram
below?
570
4cm
A 2.60
B 6.16
C 4.77
D 7.34
What was the answer
Answer:D
Step-by-step explanation:
the product of two number is 20 and the sum of square is 41 find the number
Let the two number is a and b
so,
product =ab=20
sum of square=[tex]\bold{a^2+b^2=41 }[/tex]
Then,
[tex]\bold{(a+b)^2=a^2+b^2+2ab }[/tex]
[tex]\bold{ (a+b)^2=41+2×40 }[/tex]
[tex]\bold{ (a+b)^2=81 }[/tex]
[tex]\bold{a+b=\sqrt{81} }[/tex]
[tex]\bold{a+b=9 }[/tex]•••••••••(equation I)
Now,
[tex]\bold{(a-b)^2=a^2+b^2-4ab }[/tex]
[tex]\bold{ (a-b)^2=41-4×20 }[/tex]
[tex]\bold{(a-b)^2=41-40 }[/tex]
[tex]\bold{a-b=\sqrt{1} }[/tex]
[tex]\bold{a-b=1 }[/tex]••••••••(equation II)
Now,combine the equation I and equation II
we,get
[tex]\bold{a+b+a-b=9+1 }[/tex]
[tex]\bold{a+\cancel{b}+a\cancel{-b}=10 }[/tex]
[tex]\bold{ 2a=10 }[/tex]
[tex]\bold{a=\dfrac{10}{2} }[/tex]
[tex]\blue{\boxed{ a=5 }}[/tex]
Then,
put the value of a in equation II.
we get that,
[tex]\bold{5-b=1 }[/tex]
[tex]\bold{b+1=5 }[/tex]
[tex]\bold{b=5-1 }[/tex]
[tex]\bold{\boxed{\blue{b=4}} }[/tex]
so,
The two number is 5 and 4.
5. Emma, Brandy, and Damian will cut a rope that is 29.8 feet long into
3 jump ropes. Each of the 3 jump ropes will be the same length. Write a
division sentence using compatible numbers to estimate the length of
each rope
Answer:
29.8÷3=9.93333333333
Step-by-step explanation:
*note* the 3 is a repeating number
Please solve this problem
Deanna is having a party she estimates for that she will need 3 slices of pizza for each guest and 8 extra slices for unexpected guest.
Write an equation that relates the total slices of pizza, T, to the number of guest, g.
Thanks
Answer:
3g + 8 = T
Step-by-step explanation:
3g + 8 = T because since Deanna estimates 3 slices for each guest, you would times the # of guests by 3, which is 3g. Then you would add 8 because Deanna will need extra 8 slices for the unexpected guests. This equation would tell you how many slices Deanna needs in total.
Hope this helps :D
find the value of x in the following parallelogram:
6x-15=5x+10=x+15
Answer:
x=6
Step-by-step explanation:
pls i need help due tonight
Answer:
-3/4
Step-by-step explanation:
-1 1/4 = -5/4
1/2 = 2/4
-5 + 2 = -3
-3/4
Answer: The answer is -3/4
Step-by-step explanation: covert the mixed numbers to improper fractions, then find the LCD and combine.
Working out Choose a person aged 19 to 25 years at random and ask, "In the past seven days, how many times did you go to an exercise or fitness center or work out?" Call the response Y for short. Based on a large sample survey, here is a probability model for the answer you will get:8Working out Choose a person aged 19 to 25 years at random and ask, "In the past seven days, how many times did you go to an exercise or fitness center or work out?" Call the response Y for short. Based on a large sample survey, here is a probability model for the answer you will get:8
Solution :
Days : 0 1 2 3 4 5 6 7
Probability : 0.68 0.05 0.07 0.08 0.05 0.04 0.01 0.02
This is a valid probability distribution.
In the question it is given that call for a response of Y for short of a sample of people aged between 19 years to 25 years.
Also the event that describes the value of call for response greater than 3 i.e. (Y < 3) is a randomly chosen people between the age 19 to 25 years old who has gone to fitness center or did exercise fewer than 3 days.
Valid probability models add up to 1
The probability is a valid probability model
The probability model is given as:
Days : 0 1 2 3 4 5 6 7
Probability : 0.68 0.05 0.07 0.08 0.05 0.04 0.01 0.02
To determine if the model is a valid probability model, or not
We make use of:
[tex]\mathbf{\sum P(x) = 1}[/tex]
So, we have:
[tex]\mathbf{0.68 + 0.05 + 0.07 + 0.08 + 0.05 + 0.04 + 0.01 + 0.02 = 1}[/tex]
Add the probabilities
[tex]\mathbf{ 1= 1}[/tex]
The above equations shows that:[tex]\mathbf{\sum P(x) = 1}[/tex]
Hence, the probability is a valid probability model
Read more about probability models at:
https://brainly.com/question/9965602
Please help me ASAP, Im so stuck.
Answer:
b
Step-by-step explanation:
Write an expression for the sequence of operations described below.
q more than the quotient of 10 and p
Do not simplify any part of the expression.
What is the distance between the points (-9,5) and (8,5)
Answer:
17 units
Step-by-step explanation:
Use distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex], to find the distance between (-9, 5) and (8, 5):
Let,
[tex] (x_1, y_1) = (-9, 5) [/tex]
[tex] (x_2, y_2) = (8, 5) [/tex]
Plug in the values into the distance formula:
[tex] d = \sqrt{(8 - (-9))^2 + (5 - 5)^2} [/tex]
[tex] d = \sqrt{(17)^2 + (0)^2} [/tex]
[tex] d = \sqrt{(289 + 0)} [/tex]
[tex] d = \sqrt{289} [/tex]
[tex] d = 17 [/tex]
What is the value of the expression ?
[tex]16 - 3 \times 5 {}^{2} \div 5[/tex]
[tex]16 - 3 \times 5 {}^{2} \div 5 {}^{1} [/tex]
[tex]16 - 3 \times 5 {}^{2} \div 5 {}^{ - 1} [/tex]
[tex]16 - 3 \times 5 {}^{2 - 1} [/tex]
[tex]16 - 3 \times 5 {}^{1} [/tex]
[tex]16 - 3 \times 5[/tex]
[tex]16 - 15[/tex]
[tex]1[/tex]
HopeItHelps you
#CarryOnLearning
how do i the find the slope?
(btw i know how to do [m=change in y and x] thingy, but i just cant seems to get the right answer.)
Step-by-step explanation:
[tex]x ^{1} = - 5 \\ y ^{1} = - 2 \\ x {}^{2} = - 2 \\ y {}^{2} = 1 \\ then \: you \: solve \: with \: that \: formula \: you \: know[/tex]
solve the equation 1/2x+7=18
Answer: 22
Step-by-step explanation:
Solve for x
1/2x + 7 = 18
Combine 1/2 and x.
x/2+ 7 = 18
Move all terms not containing x to the right side of the equation.
Subtract 7 from both sides of the equation.
x/2= 18 − 7
x/2 = 11
Multiply both sides of the equation by 2.
2 ⋅ x/2 = 2 ⋅ 11
Simplify both sides of the equation.
Cancel the common factor of 2.
x = 2 ⋅ 11
Multiply 2 by 11.
x = 22
517 37/50 + 312 3/100
Answer: 829 3/4 or 829 75/100
Step-by-step explanation:
Which equation represents the line shown in the graph?
5.
4
3
2
1
-6 -5 -4 -3 -2 -1 0
2
4 5
6
-2
-3
-4
-5
-6
28) Solve the inequality: 12x−10>170
A. x>15
B. x<−90
C. x<−58
D. x<15
Answer:
p=5x+3y
solve for x, number of cupcakes. isolate x
5x=p-3y
divide by 5
x=(p-3y)/5
Step-by-step explanation:
D. x<15
1. If the spinner below is spun once, find each
probability.
Answer: P(4) - 4/12,1/3,33%,0.33
Step-by-step explanation:
My teacher went over the answers
Which one is a better deal? Deal 1: $7.65 for 9 iTunes songs Deal 2: $6.93 for 7 iTunes songs
Answer:
yeah I would say deal #1 is better
Find the restrictions on the variable.
Answer:
[tex]\frac{x-5}{x+1}[/tex], [tex]x\neq -1, x\neq -9[/tex]
Step-by-step explanation:
x^2 + 4x - 45
= (x+9)(x-5)
x^2 + 10x + 9
= (x+9)(x+1)
So the fraction goes to
[tex]\frac{(x+9)(x-5)}{(x+9)(x+1)}[/tex] which is [tex]\frac{x-5}{x+1}[/tex].
Since the denominator cannot be 0, x^2 + 10x + 9 cannot be equal to 0. Therefore x cannot be -1 or -9.
