Answer:
% of apple juice = 100-20 = 80%
mango : apple
= 20 : 80
= 1 : 4
Answer:
1:4
Step-by-step explanation:
20:80 is basically mango to apple juice, so all you have to do is simplify this ratio to the lowest form, which is in fact 1:4
11. Find the solutions of x^2-x-30 = 0.
Please give a walkthrough/step by step I am trying to learn how to do it!
To find the solutions of quadratic equation, there are two ways to do which are:
FactorizeQuadratic FormulaStep 1
- Factor the expression.
To factor the expression, refer below:
[tex] \displaystyle \large{ (x - a)(x - b) = {x}^{2} - bx - ax + ab}[/tex]
For bx and ax, both can be common-factored. Therefore
[tex] \displaystyle \large{ (x - a)(x - b) = {x}^{2} - (b + a)x + ab}[/tex]
From the above, we conclude that:
The middle term is b+aThe last term is a×bThus, we have to find two numbers that satisfy a+b and a×bFrom the expression, 30 comes from 5×6 and when 5-6 = -1. Therefore, a can be 5 and b can be 6.
[tex] \displaystyle \large{{x}^{2} - x - 30 = (x + 5)(x - 6)}[/tex]
Because in the middle term, it is -x which is negative, we have to let the highest number become negative.
From the factored expression:
The middle term = 5x + (-6x) = -xThe last term = 5 × (-6) = -30Then we replace the standard equation with factored form.
[tex] \displaystyle \large{ (x + 5)(x - 6) = 0}[/tex]
For this part, we solve like a linear equation where we isolate x. Just think you are solving two linear equations!
Hence
[tex] \displaystyle \large{ x = - 5, 6}[/tex]
Therefore, the solutions are x = -5, 6.
5.4 - (9.5 - 8) - 2.5
(pls help and explain pls)
Answer:1.4
Step-by-step explanation:
What is the largest multiple of 4 that is less than 30 ?
Answer:
The multiples of 4 that are less than 30 are 4, 8, 12, 16, 20, 24, 28
Calculate the area of the triangle.
Note: Think about which side to use as the base.
9514 1404 393
Answer:
27 square units
Step-by-step explanation:
The height is measured perpendicular to the base, so it is convenient to use a base such that the height is easily found. Here, the vertical line is a suitable base, as the height is the horizontal distance from that to the opposite vertex.
A = 1/2bh = 1/2(9)(6) = 27 . . . . square units = triangle area
Evaluate the expression 3(x^2-y) +4 if x=3 and y=2
f.) 16
g.) 25
h.) 29
j.) 33
Step-by-step explanat
(g) 3[(3)²-2]+4=3(9-2)=3×7=21+4=25
which equation shows the valur of -2/5- (-9/15)
Answer:
3/15
Step-by-step explanation:
-2/5=-6/15
(-6-(-9))/15=(-6+9)/15=3/15
Please help me with these questions if you have time
Answer:
Use the following formulas for the tables
Step-by-step explanation:
For the tables given bellow use these formulas for part 7 a and b
y2-y1 over x1-x1
that would give us the slope then plug that into y=mx+b
Answer:
7. a. y=5x+29
b. y=9x+4
l have answer question number 7a and 7b
The average ticket price for a Spring Training baseball game is $32.61, with a standard deviation of $8.62. In a random sample of 40 Spring Training tickets, find the probability that the mean ticket price exceeds $35. (Round your answer to three decimal places)
Using the normal probability distribution and the central limit theorem, it is found that there is a 0.04 = 4% probability that the mean ticket price exceeds $35.
------------------------------------------
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
------------------------------------------
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
------------------------------------------
The average ticket price for a Spring Training baseball game is $32.61, with a standard deviation of $8.62.
This means that [tex]\mu = 32.61, \sigma = 8.62[/tex]
------------------------------------------
Sample of 40:
This means that [tex]n = 40, s = \frac{8.62}{\sqrt{40}}[/tex]
------------------------------------------
In a random sample of 40 Spring Training tickets, find the probability that the mean ticket price exceeds $35.
This is 1 subtracted by the p-value of Z when X = 35, so:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{35 - 32.61}{\frac{8.62}{\sqrt{40}}}[/tex]
[tex]Z = 1.754[/tex]
[tex]Z = 1.754[/tex] has a p-value of 0.96.
1 - 0.96 = 0.04
0.04 = 4% probability that the mean ticket price exceeds $35.
A similar question is given at https://brainly.com/question/24342706
The length of a rectangle is 2 cm more than 5
times the width. The perimeter is 196 cm. Find
the width and length.
length = 82 cm
width = 16 cm
Step-by-step explanation:
x = length
y = width
the perimeter of a rectangle is the lengths of all sides added together. so, 2×length plus 2× width
x = 5y + 2
196 = 2x + 2y
let's use the first equation as substitute in the second equation.
196 = 2×(5y + 2) + 2y = 10y + 4 + 2y = 12y + 4
12y = 192
y = 16 cm
x = 5y + 2 = 5×16 + 2 = 80 + 2 = 82 cm
What is the least common multiple of 8, 17, and 14?
Answer:
952
Step-by-step explanation:
LCM(8,14) = (8 × 14) = (8 × 14) / 2 = 112 / 2 = 56
LCM(56,17) = (56 × 17)
= (56 × 17) / 1
= 952 / 1
= 952
Therefore,
LCM (Lowest common multiple) (8, 14, 17) = 952
the graph of f(X)=sin(x) is transformed to a new function g(x) by straching it vertically by a factor of 2 and shifting it 3 units up. What is the equation of the new function g(x)?
9514 1404 393
Answer:
g(x) = 2sin(x) +3
Step-by-step explanation:
The transformation g(x) = c·f(x) +k represents a vertical scaling by a factor of c and a vertical shift by k units. You want the scale factor to be 2 and the vertical shift to be +3, so the transformed function is ...
g(x) = 2f(x) +3
g(x) = 2sin(x) +3
if 5-3(2a+1)=-4a+10, what is the value of a+2
Answer:
-2
BRAINLIEST, PLEASE!
Step-by-step explanation:
5 - 3(2a + 1) = -4a + 10
5 - 6a - 3 = -4a + 10
2 - 6a = -4a + 10
-2a = 8
a = -4
-4 + 2 = -2
Answer:
a+2 = -4+2 = -2
Step-by-step explanation:
5-3(2a+1)=-4a+10
Distribute
5 - 6a -3 = -4a +10
Combine like terms
-6a +2 = -4a +10
Add 6a to each side
-6a+2 +6a = -4a+6a +10
2 = 2a+10
Subtract 10 from each side
2-10 =2a+10-10
-8 = 2a
Divide by 2
-8/2 =2a/2
-4=a
A veterinarian polled her clients own dogs as to whether or not they used dry food only for their dogs which of the following describes the population of this survey
Answer:
Can you describe this question
Step-by-step explanation:
In the survey study above, in other to get valuable information that would help the veterinarian find answers to the research question, he correct description of the population of the survey is: this veterinarian's dog-owning clients.
What is the Population of a Survey Study?In a survey, the population of the study is the group of people that can provide valuable information to a researcher regarding the research questions.
Thus, in the survey study above, in other to get valuable information that would help the veterinarian find answers to the research question, he correct description of the population of the survey is: this veterinarian's dog-owning clients.
Learn more about population of study on:
https://brainly.com/question/14320940
Find the differential of the function w=x^(4)sin(y^(4)z^3)
Step-by-step explanation:
[tex]w = x^4\sin(y^4z^3)[/tex]
The differential [tex]dw[/tex] is
[tex]dw = 4x^3\sin(y^4z^3)dx [/tex]
[tex]\:\:\:\:\:\:\:\:\:\:\:+ x^4\cos(y^4z^3)(4y^3z^3)dy [/tex]
[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:+ x^4\cos(y^4z^3)(3y^4z^2)dz[/tex]
Why are fractions difficult to teach and learn? Give 5 reasons.
Answer:
It is not hard
Step-by-step explanation:
•Once you get familiar with the lesson you understand it in a much easier way by doing problems pretty often
•If you want get more comfortable with it just search for a few questions in internet specifically educational platforms in schools like teachers
•But if your still confused you can always study it for free by byjus or vedantu and the best option in my opinion is ask your teacher to explain it once more
•It is very hard to solve questions if you are not freindly with the chapter
• Do not hesitate to ask questions if your doubting or anything you might face problems in higher grades with the topic
what is 0.4 repeating written as a fraction
Answer:
0.4 as a fraction would be 2/5
Answer: 4/9
Step-by-step explanation:
Which one of the following expressions represents the perimeter of a rectangle whose length is 18 meter and whose width is 9 meter
Answer:
Well since you didn't give any choices, I would say the simplest way to write it would be (18 + 9) x 2
If (x+1,10)=(4,2y) then find the value of x & y
Answer:
x = 3 & y = 5Step-by-step explanation:
Given,(x+1, 10) = (4, 2y)
First x coordinate,
x + 1 = 4
=> x = 4 - 1
=> x = 3 (Ans) (i)
Second y coordinate,
10 = 2y
[tex] = > y = \frac{10}{2} [/tex]
=> y = 5 (Ans) (ii)
A slow flow of lava is traveling at a rate
of 3 m per day. How far will the lava have traveled at the end of 30 days?
Answer:
90m
Step-by-step explanation:
Since the lava is traveling at a rate of 3m per day all we have to do is multiply 3 by 30. 3 x 30 = 90.
I hope this answer helps you out.
the lava have travelled 90 m in 30 days
Do the following graphs represent a mathematical function? If not, explain why.
Answer:
1 = Yes
2 = NO
Step-by-step explanation:
Answer:
Step-by-step explanation:
Yes for both.
Each value of x has only one image (an y value)
define complementary angle
Answer:
Complementary angles are 2 angles whose sum is 90 (ex 35° and 55°)
Step-by-step explanation:
complenentary angles are the pair angles with the sum of 90°
Identify any outliers) in the data. {57, 54, 63, 65, 59, 64, 48, 65, 49, 55, 47, 53, 68, 60, 40, 57}
Answer:
40
Step-by-step explanation:
Data set:
{57, 54, 63, 65, 59, 64, 48, 65, 49, 55, 47, 53, 68, 60, 40, 57}
Step 1. Rearrange the data set from smallest to largest
{40, 47, 48, 48, 49, 53, 54, 55, 57, 57, 59, 60, 63, 64, 65, 68}
Step 2. Find the outliers (a value in a data set that is very different from the other values)
Answer: 40
Explanation:
40 is the only number apart and away out of all of the other numbers
The two vertices of a triangle are B(-3,1) and C(2,-2). If the coordinates of the intersection point H of the three heights are (9/11, 4/11), try to find the coordinates of another vertex A.
Answer:
(3,4)
Step-by-step explanation:
Find the equation of BH. (x+3)/(9/11+3)=(y-1)/(4/11-1)
(x+3)/(42/11)= (y-1)/(-7/11)
(x+3)*11/42= (y-1)*11/-7
x+3= -6(y-1)
x+3=-6y+6
y=-1/6x+1/2
m1=-1/6
AC: y=m2x+b
m1*m2=-1 (for perpendicular lines)
-1/6m2=-1
m2=6
-2=6*2+b
b=-14
y=6x-14
Find CH
(x-2)/(9/11-2)= (y+2)/(4/11+2)
(x-2)/(-13/11)= (y+2)/26/11
(x-2)*-11/13=(y+2)*11/26
(x-2)(-2)=y+2
-2x+4=y+2
y=-2x+2
m3=-2
AB: y=m4x+b
m3*m4=-1
-2*m4=-1
m4=0.5
Take the point B from AB
1=-3*0.5+b
b=2.5
y=0.5x+2.5
A is the point of intersection of two linesAB and AC
We have simultaneous equations
y=6x-14
y=0.5x+2.5
6x-14=0.5x+2.5
5.5x=16.5
x=3
y=6*3-14=4
Evaluate using the order of operations. Show your work.
2. (30.6 +5.03) - 7
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\boxed{\mathsf{{2 (30.6 + 5.03) - 7}}}\\\huge\boxed{\mathsf{\rightarrow 2(\bold{35.63)}} - 7}\\\huge\boxed{\rightarrow\mathsf{\bold{71.26}} - 7}\\\huge\boxed{\rightarrow\mathsf{\bf = 64.26}}\\\huge\boxed{\huge\text{Therefore, your answer is: \bf 64.24}}[/tex]
[tex]\huge\text{\text{Good luck on your assignment \& enjoy your day!}}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Answer:
0.5
Step-by-step explanation:
2.30 divided by 4.5 = 0.5
please enjoy your day <3
ANSWER IN LESS THEN 5 MINS PLEASE HURRY
VVVVVVVVVVVVVVVVVVVV
Answer:
4 oz
Step-by-step explanation:
1 lb = 16 ounces. A fourth of 16 is 4 (I found out by doing 16 / 4) therefore a one-fourth pound chicken weighs 4 oz.
I hope this helps!
Answer:
4 ounces
Step-by-step explanation:
one pound= 16 ounces
1/4th pound= [tex]\frac{1}{4} * 16[/tex]
= 4 ounces
Hence, [tex]\frac{1}{4}[/tex] pound = 4 ounces
Hope this helps.
Find and simplify the expression if f(x)=x^2-1.
f(x-3)
Answer:
Step-by-step explanation:
f(x)=x²-1
f(x-3)=(x-3)²-1
=x²-6x+9-1
=x²-6x+8
15. Ankita bought 20 copy for Rs. 25 each. She got profit of Rs.200 while selling it. Find selling price of the copies.
Answer:
S.P = 225
Explanation:
Cost Price = 20 copies for Rs. 25
Selling price = 20 copies for ?
Profit = Rs. 200
Profit = S.P -C.P
Profit + C.P = S.P
200 + 25 = S.P
225 = S.P
Sorry for my bad handwriting
Answer:
No it is good
Step-by-step explanation:
I like it. good luck
Answer:
Rs 18.30
Step-by-step explanation:
100-(25.75+20.50+35.45)=100-81.70=Rs18.30
1.47- 1.56 please
Mark brainliest!!
Answer:
0.09
Step-by-step explanation:
Doanh thu công ty ABC năm hiện tại 6.500 triệu USD, doanh lợi tiêu thụ (ROS) 8%. Dự kiến trích 8% lợi nhuận sau thuế chia cổ tức cho các cổ đông. Xác định lợi nhuận để lại của công ty ABC?
Answer:
ill answer if u can make it english
Step-by-step explanation: