Answer:5314.4563≈5314
Step-by-step explanation:
circle WX = xy 2x+16, xw 7x-29 find wx
The value of WX will be; (8y³)/(7y+8).
To find the length of WX, we need to substitute the given values of x and simplify the expression:
WX = xy/(2x+16) - xw/(7x-29)
xy/(2x+16) = xw/(7x-29)
Cross-multiplying, we get:
xy(7x-29) = xw(2x+16)
Expanding both sides;
7x²y - 29xy = 2x²w + 16xw
Rearranging terms and factoring out x;
x(7xy - 2xw) = 29xy - 16xw
Solving for x, we get:
x = (29xy - 16xw)/(7xy - 2xw)
Now we can substitute this value of x into the expression for WX to find its value. use the expression WX = xy/(2x+16):
WX = xy/(2x+16)
WX = y(29xy - 16xw)/[2(7xy - 2xw) + 16]
Simplifying the denominator,
WX = y(29xy - 16xw)/[14xy - 4xw + 16]
Finally, we can substitute the given values of xw and xy to get,
WX = y(29xy - 16xw)/[14xy - 4xw + 16] = (8y³)/(7y+8)
Therefore, WX = (8y³)/(7y+8).
Learn more about chord of the circle : brainly.com/question/1654080
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Answer: WX = 34
Step-by-step explanation:
Giving brainliest and 30 points!!!
The table shows the balance of a money market account over time. Write a function that represents the balance in y (dollars) after t years
Answer: y = 200·1.15^t
Step-by-step explanation:
The ratio from one year to the next is 1.15, so the balance is a geometric sequence. Since t starts at zero, we can write the balance (y) after t years as
y = initial value · (common ratio)^t
y = 200·1.15^t
An occupational safety officer for a large company is conducting a study to investigate back problems in office workers who use a computer for most of the workday. The study will investigate the difference in back problems for workers who stand and workers who sit. A group of 68 volunteers have agreed to participate in the nine-month study. Half the group is randomly assigned to work while standing, and the other half is assigned to work while sitting. At the end of the study, the mean number of back problems between the two groups will be calculated. The officer will use the results to estimate the difference in the mean number of back problems between those who work while standing and those who work while sitting.
Which of the following is an appropriate inference procedure for the study?
A. A one-sample tt-interval for a population mean
B. A one-sample tt-interval for a sample mean
C. A matched pairs tt-interval for a mean difference
D. A two-sample tt-interval for a difference between sample means
E. A two-sample tt-interval for a difference between population means
Answer:
C. A matched pairs tt-interval for a mean difference
Step-by-step explanation:
When the observations from two samples are paired either naturally or by design we find the difference between the two observations of each pair. Treating the differences as a random sample from a normal population with mean ud= u1-u2 and unknown standard deviation , we perform one sample t- test on them . This is called paired difference or a paired or a matched t- test.
The test statistic
t= d`/sd/√n
where d`= ∑ di/n
and sd= ∑ (di- d`)²/n-1
with υ= n-1 degrees of freedom.
For example suppose 10 young recruits are given a strenuous physical training programme by Army. Their weights are recorded before they begin and after they complete they complete the training. The two observations obtained for each recruit. i.e. before and after measurements constitute natural pairing.
Carrie is seven years older than dan in three years the sum of their ages will be 83 find the age of each man now.
Cary is ___years old while dan is ____ years old.
Does anyone know this please
Factorise the following.
Answer:
Q.1 49x²- 25y²
= (7x)² - (5y)²
= (7x+5y)(7x - 5y)
Q.2 x²y² - 64
=(xy)² - (8)²
=(xy+8)(xy - 8)
WILL GIVE BRAINLIEST!!
If the length of a rectangle is decreased by 4 cm and the width is increased by 5 cm, the result will be a square, the area of which will be 40 cm2 greater than the area of the rectangle. Find the area of the rectangle.
Answer:
[tex]\huge\boxed{\sf Area = 12.8 cm\²}[/tex]
Step-by-step explanation:
Let,
The length of rectangle = x
The width of rectangle = y
The length of square = x - 4
The width of square = y + 5
Area of rectangle = xy
Area of square = xy + 40
Condition No. 1:
Area of Square = Length of square * Width of square
xy + 40 = (x - 4)(y - 5)
xy + 40 = xy - 5x - 4y + 20
- 5x - 4y = 40 - 20
- 5x - 4y = 20
5x + 4y = -20 ------------------(1)
Condition No. 2:
We know that:
Length of square = Width of square
x - 4 = y + 5
Add 4 to both sides
x = y + 5 + 4
x = y + 9 ---------------------------(2)
Solution:
Put Eq. (2) in (1)
5 (y + 9) + 4y = -20
5y + 45 + 4y = -20
9y + 45 = -20
9y = -20-45
y = -65 / 9
Now, Put the value of y in Eq. (2)
x = (-65 / 9) + 9
x = (-65 + 81) / 9
x = 16 / 9 cm
Now,
Area of rectangle = xy
Area = ( -65 / 9 ) * ( 16 / 9 )
Area = (-65*16) / (9*9)
Area = -1040/81
Area = 12.8 cm² (Neglecting -ve sign)
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Answer:
360
Step-by-step explanation:
360m^2
Penny makes 5 liters of applesauce. She saves 0.24 liter for dinner and puts the rest in jars. If each jar holds 0.68 liter, how many jars can she fill?
Answer:
Penny can fill eight jars.
Answer:
Penny can fill 8 jars.
Step-by-step explanation:
Step one: Multiply the divisor by a power of 10 to make it a whole number. Then, multiply the dividend by the same power of 10. Step two: Write the decimal point in the quotient above the decimal point in the new dividend. Step three: Divide!
Find several points that are on the graph of the function y = x^2 + 1. Plot the points in a coordinate plane.
Is this a linear function? Explain.
Answer:
Below.
Step-by-step explanation:
Plot following points.
Calculate the point by plugging in values of x into x^2 + 1
for example When x = 0, y = 0^1 + 1 = 1.
So plot plot (0, 1),
Make a table of points to plot:
x -3 -2 -1 0 1 2 3
y 10 5 2 1 2 5 10
When you plot the points you'll see the graph is U shaped.
The function is of second degree (as it contains x^2) so it wont be linear.
X=? Y=2x+7 Z=45 Find x in the following
Answer:
19
Step-by-step explanation:
2x+7=45
2x=45-7
2x=38
2x/2=38/2
X=19
determine the following
Answer:
Step-by-step explanation:
find the highest common factor of 20,10and25
Answer:
5
Step-by-step explanation:
5, 10, 15, 20, 25
5, 10, 15, 20, 25
5, 10, 15, 20, 25
Hope this helps!!!
Have a great day!!!! :)
Answer:
5
Step-by-step explanation:
factors of 20:
1, 2, 4, 5, 10, 20
factors of 10:
1, 2, 5, 10
factors of 25:
1, 5, 25
as you can see from the factor list of each number, 5 is the higest common factor.
Artie ate 1/5 of a box of cereal last week and 1/5 of the box more this week. How much of Arties box of cereal is left?
How many tiles with dimensions 14 cm and 9 cm will be needed to fit in a rectangular
region whose length and breadth are 168 cm and 72 cm respectively?
Answer:
96 tiles
Step-by-step explanation:
if the rectangular region has dimensions of 168cm by 72 cm then what you would do is multiple them to find the area (168 x 72) which would equal 12,096. then after that you would find the area of the tiles, with the given dimensions being 14cm by 9cm you would do 14 x 9, which would give you 126 sq cm. then after you have you two products, you would then divide them (12,096/126). this equation would give you the sum of 96 tiles be able to fit within the rectangular region.
what times 3 equals 3/10
Answer:
1/10
Step-by-step explanation:
Divide 3/10 by 3. Remember to "keep, flip, change".
3/10 ÷ 3/1
3/10 × 1/3
Multiply across: 3/10 × 1/3 = 3/30
Simplify: 3/30 = 1/10
what is the equivalent ratio of 8/10 and 6/10?
Answer:
ok so 8/10 I think it is 4/5
and 6/10 I think is 3/5
How do you expand this out to its full size? 3.2×10^9
Answer:
3,200,000,000
Step-by-step explanation:
3,2 * 10^9 =
= 3,2 * 1 000 000 000 =
= 32 000 00 000
a) One of two boxes contain 4 red balls and 2 green balls and the second box contains 4 green and two red balls. By design, the probabilities of selecting box 1 or box 2 at random are 1/3 for box 1 and 2/3 for box 2. A box is selected at random and a ball is selected at random from it. a) Given that the ball selected is red, what is the probability it was selected from the first box? b) Given that the ball selected is red, what is the probability it was selected from the second box? c) Compare the results in parts a) and b) and explain the answer.
Answer:
The answer is below
Step-by-step explanation:
Let B₁ represent box 1, B₂ represent box 2, E₁ represent the event of selecting box 1, E₂ represent the event of selecting box 2 and R represent the event of selecting a red ball.
Given that:
Probability of selecting box 2 P(E₂) = 2/3, Probability of selecting box 1 = P(E₁) = 1/3
Probability of selecting red ball from box 1 = P(R | E₁) = 4/6 [4 red balls out of 4 red, 2 green]
Probability of selecting red ball from box 2 = P(R | E₂) = 2/6 [2 red balls out of 2 red, 4 green]
a)
Given the ball is red, the probability it was selected from the first box is:
[tex]P(E_1|R)=\frac{P(R|E_1)P(E_1)}{P(R|E_1)P(E_1)+P(R|E_2)P(E_2)} =\frac{2/3*1/3}{(2/3*1/3)+(1/3*2/3))} =\frac{1}{2}[/tex]
b)
Given the ball is red, the probability it was selected from the second box is:
[tex]P(E_2|R)=\frac{P(R|E_2)P(E_1)}{P(R|E_2)P(E_2)+P(R|E_1)P(E_1)} =\frac{1/3*2/3}{(1/3*2/3)+(2/3*1/3))} =\frac{1}{2}[/tex]
c)
We can see that both probabilities are equal. Although we have more red balls in box 1 (twice as much) than in box 2 but the probability of selecting from box 2 (is twice as much) than from selecting from box 1.
The probability that the ball selected is red and it is selected from the first box is 1/2 and the probability that the ball selected is red and it is selected from the second box is 1/2.
Given :
One of the two boxes contains 4 red balls and 2 green balls and the second box contains 4 green and two red balls. By design, the probabilities of selecting box 1 or box 2 at random are 1/3 for box 1 and 2/3 for box 2.a) The probability that the ball selected is red and it is selected from the first box is:
[tex]P(E_1|R)=\dfrac{P(R|E_1)P(E_1)}{P(R|E_1)P(E_1)+P(R|E_2)P(E_2)}[/tex]
[tex]P(E_1|R)=\dfrac{\dfrac{2}{3}\times \dfrac{1}{3}}{\dfrac{2}{3}\times \dfrac{1}{3}+\dfrac{1}{3}\times \dfrac{2}{3}}[/tex]
[tex]P(E_1|R)=\dfrac{1}{2}[/tex]
b) The probability that the ball selected is red and it is selected from the second box is:
[tex]P(E_2|R)=\dfrac{P(R|E_2)P(E_2)}{P(R|E_1)P(E_1)+P(R|E_2)P(E_2)}[/tex]
[tex]P(E_2|R)=\dfrac{\dfrac{2}{3}\times \dfrac{1}{3}}{\dfrac{2}{3}\times \dfrac{1}{3}+\dfrac{1}{3}\times \dfrac{2}{3}}[/tex]
[tex]P(E_2|R)=\dfrac{1}{2}[/tex]
c) The probability that the ball selected is red and it is selected from the first box and the probability that the ball selected is red and it is selected from the second box is the same.
For more information, refer to the link given below:
https://brainly.com/question/795909
Help see the screenshot below! !
Answer:
p = 8h
Step-by-step explanation:
for example, 16= 8 times 2 or 24 = 8 times 3
Answer:
p = 8h
Step-by-step explanation:
Divide each amount he earns by the number of hours he works.
When he earns $8, he works 1 hour.
When he earns $16, he works 2 hours.
When he earns $24, he works 3 hours.
8/1 = 8
16/2 = 8
24/3 = 8
For any amount that he earns, it is always 8 times the number of hours he works.
Answer: p = 8h
You measure the sides of a pool and find that it is 20 yards wide and 60 yards long.
30 points!
Approximately, how far would it be diagonally between corners of the pool?
63 yards
55 yards
67 yards
72 yards
Answer:
63
Step-by-step explanation:
Answer: 63
Step-by-step explanation:
Suzanna uses a 1/4 cup measuring scoop to make her coffee. If she needs to fill her coffee filter with 2 cuos of coffe grounds,how many 1/4 cups scoops will she need to use
Answer:
8
Step-by-step explanation:
1/4 times 8 is 2
Amy’s watch loses time at the rate of 3 minutes every 5 days. Fine the number of days before the watch loses one hour or time
Please note that this is directly proportional applications and the formula is output unit/input unit times input unit
Answer:
100 daysStep-by-step explanation:
3 min loss ⇔ 5 days60 min loss ⇔ x daysCross multiply and solve for x:
3x = 5*603x = 300x = 300/3x = 100 dayswhat is x ? full explanation please
Answer:
x = 6
Step-by-step explanation:
Looking at the figure, we can say that it is a vertical angle.
5x - 7 = 23
5x - 7 + 7 = 23 + 7
5x = 30
5x / 5 = 30 / 5
x = 6
Since it is a vertical angle, the other side should be 23⁰. You can also plug in the x value to find if it gives you 23⁰ or not.
5x - 7
5(6) - 7
30 - 7
23
Therefore, x = 6. Hope this helps and stay safe, happy, and healthy, thank you :) !!
I need help please because I don’t get it
Answer:
x=5
Step-by-step explanation:
already explained.
the diagonals of parallelogram ABCD intersect at point O. If segment AC is a diagonal and AO = 5, then what is AC
9514 1404 393
Answer:
10
Step-by-step explanation:
The diagonals of a parallelogram bisect each other. That is, point O is the midpoint of AC. If AO = 5, then OC = 5 and AC = 5+5 = 10.
Can I have the answer
Answer:
to what?
Step-by-step explanation:
please answer! will give brainliest
Answer:
1.4
Step-by-step explanation:
The Mohs scale is used to measure:
streak
cleavage
hardness
luster
Answer:
Hardness.
Step-by-step explanation:
A mineral's hardness is a measure of its relative resistance to scratching, measured by scratching the mineral against another substance of known hardness on the Mohs Hardness Scale.
Answer:
hardness
Step-by-step explanation:
number 3
Bejajsjsjjajajasnsjshsjs alot i lost my brain cells
Answer:
4.23 + 16.21 = 20.44 = C
42.3 + 1.621 = 43.921 = B
4.23 - 1.621 = 2.609 = A
42.3 - 16.21 = 26.09 = D
Step-by-step explanation:
Answer:
you did bro
Step-by-step explanation:
Which equation represents the standard form of f(x)?
A
f(x) = 2x2 - 7x - 13
B
f(x) = 2x2 - 7x - 22
с
f(x) = 2x2 - 15x + 22
D
f(x) = 2x2 - 7x + 13
QUESTION 2
Step-by-step explanation:
step 1. the standard form of a quadratic equation is f(x) = ax^2 + bx + c
step 2. since they are all in standard form you need to provide more information.
Which rule explains why these triangles are congruent?
H
F
G
AAS
SSS
SAS
ASA
These triangles cannot be
proven congruent.
Answer:
These triangles cannot be proven congruent.
