Answer:
[tex]x=\sqrt{\dfrac{a(b-y^2)}{b}}[/tex]
Step-by-step explanation:
The given equation is :
[tex]x^2\div a+y^2\div b=1[/tex]
We need to find the value of x.
It can also written as :
[tex]\dfrac{x^2}{a}+\dfrac{y^2}{b}=1[/tex]
Subtract [tex]\dfrac{y^2}{b}[/tex] from both sides,
[tex]\dfrac{x^2}{a}+\dfrac{y^2}{b}-\dfrac{y^2}{b}=1-\dfrac{y^2}{b}\\\\\dfrac{x^2}{a}=\dfrac{b-y^2}{b}\\\\\text{Cross multiplying both sides}\\\\x^2=\dfrac{a(b-y^2)}{b}\\\\x=\sqrt{\dfrac{a(b-y^2)}{b}}[/tex]
Hence, the value of x is equal to [tex]\sqrt{\dfrac{a(b-y^2)}{b}}[/tex].
PLEASE HELP I DON"T UNDERSTAND
SHOW WORK PLEASE
Part A: The area of a square is (9a2 − 24a + 16) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points)
Part B: The area of a rectangle is (25a2 − 36b2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)
Answer:
Below in bold.
Step-by-step explanation:
Part A.
9a^2 - 24a + 16
= (3a - 4)(3a - 4).
Length of each side = 3a - 4 units.
Part B.
25a^2 − 36b^2
= (5a - 6b)(5a + 6b).
The dimensions are 5a-6b and 5a+6b.
The length of each side would be 3a - 4 units. The dimensions are 5a - 6b and 5a + 6b.
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
Part A.
The area of a square is [tex]9a^2 - 24a + 16[/tex] square units.
To determine the length of each side of the square by factoring the area expression completely.
[tex]9a^2 - 24a + 16\\\\= (3a - 4)(3a - 4).[/tex]
The Length of each side = 3a - 4 units.
Part B.
The area of a rectangle is [tex]25a^2 - 36b^2[/tex]square units.
To determine the dimensions of the rectangle by factoring the area expression completely.
[tex]25a^2 - 36b^2\\= (5a - 6b)(5a + 6b).[/tex]
The dimensions are 5a - 6b and 5a + 6b.
Learn more about the area;
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Events A and B are mutually exclusive. Events B and C are non-mutually exclusive. Which Venn diagram could represent this description? Circles A, B, and C overlap. Circles A and B overlap. Circle C is to the side. Circles A, B, and C are shown. They do not overlap. Circles A and C overlap, and circles C and B overlap.
Answer:
correct its d
Step-by-step explanation:
Four classmates collect data by conducting a poll. They
ask students chosen at random how many days a week
they stay after school for clubs.
• Zach interviews 100 students.
• Alyssa interviews 65 students.
• Olivia interviews 75 students.
• Ryan interviews 45 students.
Whose results are probably the most trustworthy?
A. Ryan's
B. Olivia's
C. Zach's
D. Alyssa's
Answer:
C, he interviewed the most people.
Brainliest please!
Answer:
C. Zach's
Step-by-step explanation:
HELP ME !! AND EXPLAIN HOW YOU GOT IT.
PLEASE ANSWER !! ILL GIVE BRAINLIEST !!
50 POINTS !!
FAKE ANSWERS WILL GET REPORTED .
Answer:
<1= 62
•it is 62 because it is an alternate interior angle which is congruent
<2= 83
• when you add the given angles 62 and 35 you get 97 and a triangle is 180 so you subtract 97 from 180
<3=35
• it is 35 because it is an alternate interior angle which is congruent
Step-by-step explanation:
62+35= 97
180-97= 83
HELP ME PLEASEEEEEEEEEEE
Answer:
12
Step-by-step explanation:
12/2=6
Tell me if it works
Answer: z=12
Step-by-step explanation: Hope this help :D
List 3 values that would make this inequality true. 10≥2n
10
0
5
8
6
7
2
Answer:
0, 2, 5
Step-by-step explanation:
10 ≥ 2n
Divide both sides by 2
5 ≥ n
Flip
n ≤ 5
Values less than or equal to 5
0, 2, 5
What is the perimeter of the shape below
Answer:
Show the shape.
Step-by-step explanation:
Answer:
You didn't attach any work.
The Jones brother, Carl, Cameron, and Carlos, are painters. Together they can paint a standard sized room in 2 hours. If Carl is alone on the job he can paint the room in 5 hours. If Cameron is alone he can paint the room in 6 hours.
Answer: Best anwser 5.5
Step-by-step explanation:
Can someone help me? It would mean the world if u helped me have a nice day! <3
500 ml water 4 times a day = 500x4= 2000 ml water per day
there are 7 days in a week so,
2000 x 7 = 14000 ml
1000mililitre = 1 litre
14000ml = 14 L per week
What is the value of x?
Answer:
X = 1
Step-by-step explanation:
X is none number but equals to 1
Answer:
X=11
Step-by-step explanation:
Similar triangles....
6/48 = 5/3x+7
6(3x+7) =240
3x+7=40
3x=33
x=11
un ascensor se encuentra en la duodécima planta de un edificio, sube 10 pisos, despues en baja 1, en sube 3 y en baja 5. ¿En qué planta se encuentra en el final?
Answer:
It is in the plant 19.
Step-by-step explanation:
A fraction is shown. HHH 1 What fraction is shown on the number line? 5 O A 6. OB. 을 Ос. OD. ОЕ.
Answer:
huh?
Step-by-step explanation:
Find the measure of angle w.'
5 points
wo
124°
О124
О 34
оооо
56
Answer:
56
Step-by-step explanation:
Angles w and 124 are linear pair angles,
w + 124 = 180
w = 180 - 124
w = 56
A jockey will ride horses in 10 different races at a race track today. The number of races that the jockey will win is what type of random variable
Answer:
X is a discrete Random variable where X is the number of races Jockey can win.
Step-by-step explanation:
To find - A jockey will ride horses in 10 different races at a race track today.
The number of races that the jockey will win is what type of random variable ?
Proof -
Given that,
A jockey will ride horses in 10 different races at a race track today.
Let us assume that,
X is the number of races Jockey can win
So,
X can take value 0, 1, 2, 3, ......10
As,
It can take countable finite values
So,
X is a discrete Random variable
∴ we get
X is a discrete Random variable where X is the number of races Jockey can win.
find the margin of error to use for this sample mean sushi based on a sample of 35 people he average out of pieces of sushi a person can eat is 16 pieces with a standard deviation of 8 pieces of sushi .constructs 90% confidence interval for the mean of amount of sushi pieces a person can eat statistics
Answer:
{13.7756,18.2244}
Step-by-step explanation:
Given the sample size, the margin of error can be calculated with the formula [tex]M=Z*\frac{\sigma}{\sqrt{n}}[/tex] where Z is the critical value for the desired confidence level, σ is the population standard deviation, and n is the sample size. Therefore, our margin of error for a 90% confidence level is:
[tex]M=Z*\frac{\sigma}{\sqrt{n}}=1.645*(\frac{8}{\sqrt{35}})=2.2244[/tex]
The formula for a confidence interval is [tex]CI=\bar{x}+M[/tex] where x-bar is the sample mean. Therefore, the 90% confidence interval for the mean amount of sushi pieces a person can eat is:
[tex]CI=\bar{x}\pm[M]=16\pm2.2244={13.7756,18.2244}[/tex]
Therefore, we are 90% confident that the true mean amount of sushi pieces a person can eat is contained within the interval {13.7756,18.2244}
match the base to the corresponding height
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The base and height are perpendicular to each other. In each case, there is only one figure having a labeled h segment perpendicular to the labeled b.
Rewrite the equation below so that it does not have fractions. 4/9x-2=5/6
Answer:
0.44x-2=0.83
Step-by-step explanation:
Please tell me if any are wrong. Thankyou. I will give brainliest
Answer:
Those are all correct!
Step-by-step explanation:
Great Work! Have a Nice Day!
Answer:
nope ur good
Step-by-step explanation:
but the 4th one is wrong
An equation parallel to y = 3/2 * x - 4
How does math anxiety affect working memory, and why do such changes in
working memory interfere with math performance?
What is the smaller zero of y = r2 – 6x + 8
Answer:
i think it's 27
Step-by-step explanation:
sorry if im wrong
The perimeter of the traingle below is 8x-6
A baker is making apple pies. He uses 24 apples for every 5 pies. How many apples will he need to bake 20 pies?
Members of a basketball team are reviewing their scores from the last several games. They record their point totals in the stem-and-leaf plot shown.
Use the drop-down menu below to answer the question about the stem-and-leaf plot.
Answer:
13 games
Step-by-step explanation:
Answer:
13 games
Step-by-step explanation:
the highest possible score on an entrance exam is 800 points. what scores are between 80% to 90% of the highest possible score?
Answer: 640-720
Step-by-step explanation:
Find the measure of the angle indicated in bold
Plss help
Answer:
Solution given:
9x-4=8+7x[Vertically opposite angle]
9x-7x=8+4
2x=12
x=12/2
x=6
:.8+7x=8+7×6=50°
Answer:
50
Step-by-step explanation:
9x - 4 = 8 + 7x
x = 6
Therefore, 8 + (7 *6) = 50
The measure of the angle is 50
Thenks and mark me brainliest :)))
If the amount of time to prepare and deliver a pizza from MOD PIZZA is normally distributed with a mean of 20 minutes and standard deviation of 5 minutes.
Determine the percent of pizzas that were prepared and delivered:
(a) Between 20 and 25 minutes (b) In less than 18 minutes
( c ) If MOD PIZZA advertises that the Pizza is free if it takes more than 30 minutes to deliver, what percent of the pizza will be free?
I need to answer a,b and c - it is not mutiple choice. I also need to show all relevant steps and plus I really want to understand how to do this! I am completely stuck on this one and its due tonight. Please help!! :) Ill give badges, brainliest, thanks, all of that for whoever can help me!
Using the normal distribution, we have that:
a) 34.13% of pizzas were prepared and delivered between 20 and 25 minutes.
b) 34.46% of pizzas were prepared and delivered in less than 18 minutes.
c) 2.28% of the pizza will be free.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given, respectively, by:
[tex]\mu = 20, \sigma = 5[/tex]
For item a, the probability is the p-value of Z when X = 25 subtracted by the p-value of Z when X = 20, hence:
X = 25:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{25 - 20}{5}[/tex]
Z = 1
Z = 1 has a p-value of 0.8413.
X = 20:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{20 - 20}{5}[/tex]
Z = 0
Z = 0 has a p-value of 0.5.
0.8413 - 0.5 = 0.3413.
Hence 34.13% of pizzas were prepared and delivered between 20 and 25 minutes.
For item b, the probability is the p-value of Z when X = 18, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{18 - 20}{5}[/tex]
Z = -0.4
Z = -0.4 has a p-value of 0.3446.
34.46% of pizzas were prepared and delivered in less than 18 minutes.
For item c, the proportion is one subtracted by the p-value of Z when X = 30, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{30 - 20}{5}[/tex]
Z = 2
Z = 2 has a p-value of 0.9772.
1 - 0.9772 = 0.0228, hence 2.28% of the pizza will be free.
More can be learned about the normal distribution at https://brainly.com/question/28135235
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Sally has 2 pets in her house. The weight of her dog is 50 pounds and the weight of her cat is 12 pounds. By how much is the weight of the dog more than the weight of the cat?
A. 38 lb.
B. 30 lb.
C. 28 lb.
D. 20 lb.
Answer:
the answer is A. 38lb.
i hope this helps :)
Step-by-step explanation:
Wake up and help me out thank youuuuu !!!!
4. Sharlene walked 7 2/11
km to school an 2 8/11
km to the park. How many
Kilometers dild she walk in all
Answer:
9 10/11 km
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
7 2/11 km to school
Another 2 8/11 km to the park
Step 2: Find Total
Add: 9 10/11 km