Answer:
The only zero of [tex]F^{-1}(x)[/tex] is [tex]3[/tex].
Step-by-step explanation:
The function [tex]F^{-1}[/tex] is the inverse of function [tex]F[/tex].
For a given [tex]x[/tex] and a given [tex]y[/tex], [tex]F^{-1}(y) = x[/tex] if and only if [tex]F(x) = y[/tex].
Let [tex]y[/tex] be a zero of [tex]F^{-1}(y)[/tex]. That is, [tex]F^{-1}(y) = 0[/tex].
By the reasoning above, since [tex]x = 0[/tex] and this particular [tex]y[/tex] satisfy [tex]F^{-1}(y) = x[/tex], it must be true that [tex]F(x) = y[/tex] for the same [tex]x = 0\![/tex] and [tex]y\![/tex].
Since [tex]x = 0[/tex] and [tex]F(x) = x + 3[/tex], [tex]F(0) = 3[/tex]. Therefore, [tex]y = F(0) = 3[/tex] since [tex]y = F(x)[/tex].
Thus, the zero of [tex]F^{-1}(y)[/tex] would be [tex]y = 3[/tex].
The hypotenuse of a right triangle is 7 feet long. One leg is 4 feet longer than the other. Find the lengths of the legs, Round to the nearest tenth of a foot
The length of the shorter leg is ft, and the length of the longer leg is ft.
(Do not round until the final answer. Then round to the nearest tenth as needed)
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Answer:
Shorter leg = 2.5 ft.
Longer leg = 6.5 ft.
Step-by-step explanation:
a^2 + b^2 = c^2
Because the hypotenuse = 7 ft, a^2 + b^2 = 49
To represent the two legs, we can use x and x+4.
x^2 + (x+4)^2 = 49
Simplifying this equation using FOIL gives us 2x^2 + 8x - 33 = 0.
Then, using the quadratic formula, we find that x = 2.5.
Thus, the shorter leg is 2.5 ft. and, when 4 is added, the longer leg is 6.5 ft.
If Y = $1265, C = $660, and I = $325, solve for G.
Answer:
285
Step-by-step explanation:
assuming youre saying 1265 = 660 + 325 + g
Sean has a collection of combs. Each comb is worth $1.29. There are 15 total combs.
What is the total value of his collection?
Answer:
1.29 x 15 = $19.35
The total value of Sean's collection is $19.35
**hope this helps
Step-by-step explanation:
PLEASE HELP :(
Which order do these go in?
Will mark BRAINLEST
Answer:
1 - 5
2 - 3
3 - 8
4 - 1
5 - 2
6 - 7
7 - 4
8 - 6
Step-by-step explanation:
7. Trading volume on the New York Stock Exchange is heaviest during the first half hour (early morning) and last half hour (late afternoon) of the trading day. The early morning trading volumes (millions of shares) for 13 days in January and February are shown here (Barron’s, January 23, 2006; February 13, 2006; and February 27, 2006). 214 163 265 194 180 202 198 212 201 174 171 211 211 The probability distribution of trading volume is approximately normal. a) Compute the mean and standard deviation to use as estimates of the population mean and standard deviation. b) What is the probability that, on a randomly selected day, the early morning trading volume will be less than 180 million shares? c) What is the probability that, on a randomly selected day, the early morning trading volume will exceed 230 million shares?
In this problem, first we find the sample mean and the standard deviation, and then, we use the normal distribution. Then, we get that:
a) The mean is of 199.69 and the standard deviation is of 25.02.
b) 0.2148 = 21.48% probability that, on a randomly selected day, the early morning trading volume will be less than 180 million shares.
c) 0.1131 = 11.31% probability that, on a randomly selected day, the early morning trading volume will exceed 230 million shares.
In a normal distribution 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]
It 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, which is the percentile of X.Item a:
The mean is the sum of all observations divided by the number of observations, thus:
[tex]\mu = \frac{214 + 163 + 265 + 194 + 180 + 202 + 198 + 212 + 201 + 174 + 171 + 211 + 211}{13} = 199.69[/tex]
The standard deviation is given by the square root of the sum of the difference squared between each observation and the mean, divided by the number of values. Thus:
[tex]\sigma = \sqrt{\frac{(214-199.69)^2 + (163-199.69)^2 + (265-199.69)^2 + (194-199.69)^2 + ... + (211-199.69)^2}{13}} = 25.02[/tex]
The mean is of 199.69 and the standard deviation is of 25.02.
Item b:
This probability is the p-value of Z when X = 180, thus:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{180 - 199.69}{25.02}[/tex]
[tex]Z = -0.79[/tex]
[tex]Z = -0.79[/tex] has a p-value of 0.2148.
0.2148 = 21.48% probability that, on a randomly selected day, the early morning trading volume will be less than 180 million shares.
Item c:
This probability is 1 subtracted by the p-value of Z when X = 230, thus:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{230 - 199.69}{25.02}[/tex]
[tex]Z = 1.21[/tex]
[tex]Z = 1.21[/tex] has a p-value of 0.8869.
1 - 0.8869 = 0.1131
0.1131 = 11.31% probability that, on a randomly selected day, the early morning trading volume will exceed 230 million shares.
A similar problem is given at https://brainly.com/question/24663213
please help ME I BEG YOU
Answer:
it is also 112°.
Step-by-step explanation:
mark me brainlist amswer.
Answer:
112°
Step-by-step explanation:
1. The angle with 112 degrees and angle x are corresponding angles, which mean they have the same relative position. Corresponding angles are congruent.
2. Given the information above, m∠x = 112°.
x = - 23
y = - 5
z = - 10
[tex](x-12)/ (y+z)\\[/tex]
i had to do the answer as a pic cuz my iPad is gonna die.
sorry <:)
Answer:
7/3Step-by-step explanation:
x = - 23
y = - 5
z = - 10
(x - 12)/(y+z)=
(-23 - 12)/(-5-10)=
45/15=
7/3
Does the point (–3, 4) satisfy the equation y = –2x + 5? Yes Or No
Answer:
No
Step-by-step explanation:
y = -2x + 5
4 = -2(-3) + 5 - Substitute both x and y
4 = 6 + 5 - Simplify
4 ≠ 11
Hence, no, (-3, 4) doesn't statify the equation y = -2x + 5
X-(-y-z+3) remove the parentheses
Answer:
x + y + z - 3
Step-by-step explanation:
Basically, putting a negative sign before parentheses signifies that you want to flip the sign of everything within the parentheses. This can also be explained by the negative sign representing -1.
Knowing this, we can just multiply everything within by -1.
-y -> y
-z -> z
3 -> -3
We now have y + z - 3, just put this into the original expression and we have our final answer of:
x + y + z - 3
:)
A certain chemical the ratio of zinc the copper is 3 of 13 A jar of chemicals contains 377 grams of copper how many grams of zinc does it have
Answer:its 116 grams of zinc
Step-by-step explanation:
HELP SOMEBODY PLEASE I NEED IT NOW HURRY!!!
Answer:
Rational square root
√144 - 12
√400 - 20
√ 100 - 10
√ 81 - 9
√ 169 - 13
irrational square root
√ 190 - 13 & 14
√ 250 - 15 & 16
√ 120 - 10 & 11
√ 160 - 12& 13
√ 320 - 17 & 18
Round the number 245,382 to the nearest given place value.
13. hundred
14. ten-thousand
16. ten
15. thousand
The value of each digit in a number is known as the place value. The number 245,382 to the nearest hundred place value is 245,400.
What is the place value of a digit in a number?The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.
The given number 245,382 can be rounded off to the nearest given place values as,
A.) hundred
The hundred is the third place in any number from the right end since the second value is 8 which is close to 10, therefore, the hundred place value will be rounded off to the next number.
245,400
B.) ten-thousand
The ten-thousand is the fifth place in any number from the right end since the fourth value is 5 followed by 382 which is more close to 50,000 than 40,000 , therefore, the ten-thousand place value will be rounded off to the next number.
250,000
C.) ten
The ten is the second place in any number from the right end since the first value is 2 which is close to 0, therefore, the ten place value will be the same while the first place will become zero.
245,380
D.) thousand
The thousand is the fourth place in any number from the right end since the third value is 3 which is close to 0, therefore, the thousand place value will be the same while the third place and the ahead will become zero.
245,000
Learn more about the Place Value here:
https://brainly.com/question/27734142
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Simplify the variable expression by evaluating its numerical part, and enter your answer below.
(13 - 6) • w
Answer:
7w
Step-by-step explanation:
Simplify the parenthesis first
(13-6)=7
Then multiply by the w
7*w=7w
(13-6)*w=7w
* Can be rewritten as (13-6)w or w(13-6) or w*(13-6).
Carl shades a row in the multiplication table the products in the row are all even the ones digits in the products repeat 0,4,8,2,6 what road does Carl shade?
Answer:
Carl shades the 4s row in the multiplication table.
Step-by-step explanation:
4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48. This is the pattern 4, 8, 2, 6, 0, 4, 8, 2, 6, etc.
Help as soon as possible please if the answer is correct I’ll give brainliest
Answer:
The slope is 4, while the y intercept is 2
...starting with 2 cards and adding 4 cards each week
Step-by-step explanation:
The slope is always the coefficient (the number in front) of x.
The y intercept is the number on its own.
Hope this helps!
fill in the table using the function rule. Y=2x-1
Answer:
what table?
Step-by-step explanation:
BRAINLIEST PLEASE !!!!!!!!!!!!!!!!!!
inver laplace
[tex] {l}^{ - 1} ( \frac{s}{( {s}^{2} + 16)^{2} } ) [/tex]
Answer:
s
_______________
ls^4 + 32ls^2 + 256l
Step-by-step explanation:
I used an algebra calculator called MathPapa to solve your equation.
Also, welcome to brainly!
solve the system x-y=5 and 4x-5y+17
Answer:
Step-by-step explanation:
x = 3
7=2
3-2=5
slope is 4/5
What is the equation in slope-intercept form of the line that passes through the points (-18, -10) and (26, 45)?
Answer:
The equation is:
y = 5/4x + 25/2
Step-by-step explanation:
Cho tam giác ABC có diện tích= 105cm vuông. Trung tuyến AM và BN cắt nhau tại G.
a)Tính diện tích tam giác AMC và diện tích tam giác MnC
b)Tính diện tích tam giác ABG
Answer:
english pls.
Step-by-step explanation:
showing wrong transalation in transalate
I NEED HELP WITH THIS ASAP
Answer:
4
Step-by-step explanation:
( 5x - 6 ) and ( 3x + 2 ) are alternate interior angles.
Alternate interior angles are equal,
So,
5x - 6 = 3x + 2
5x - 3x = 2 + 6
2x = 8
x = 8 / 2
x = 4
HELLO I NEED A MATH EXPERT RIGHT NOW TO HELP ME WITH SOME MATH STUFF
IF YOUR NOT A MATH EXPERT THEN DONT ANSWER
Answer:
what's your question
Step-by-step explanation:
what's your question
ANSWER
7y-20=3y+12
= 7y-20+20= 3y + 12 + 20
= 7y = 3y + 32
= 7y -3y = 3y + 32 - 3y
= 4y = 3y + 32 -3y
= 4y =32
= y = 32/4
= y = 8
Thank you :).....
What is the median of this data set? {15, 14, 6, 10, 7, 15, 7, 8} Enter your answer in the box.
Answer: 9
Step-by-step explanation:
took the k12 quiz
I need help to find the side
Answer:
x = 10.55cm
Step-by-step explanation:
Sin 29 degrees = 7cm/x
X = 7cm / sin 29
= 10.55 cm
Answer:
x =14.4cm
Step-by-step explanation:
Sin x = opp/hyp
This is because we are given angle look into the triangle and see opp given =7 and need hypotenuse
Sin x = 7 / sin (29) = 14.4386574 cm = 14.4cm
This is because the opp is the 7 measure.
x = 14.4cm
We can prove the base is less through Pythagoras theorem
simply as c^2-b^2 = a^2
14.4386.....^2 -7^2 = c^2
sqrt 208.47 - sqrt 49 =c^2
c^2 = sqrt 159 = 7.43849023
therefore base = 7.44
To check angle 29 degrees for 3rd proof
cos (29) x 7/x= (x)
= 203 / x
check 203/29 = 7
Given a=7 and ∠α=29°,
b = 12.62833
c = 14.43866 proof
∠β = 61°
h = 6.12234
area = 44.19917
perimeter = 34.06699
inradius = 2.59484
circumradius = 7.2193
simplify:
[tex]x ^{4} - {x}^{2} {y}^{2} + {y}^{4} [/tex]
x4-x2y2+y4
Answer:
[tex] {x}^{4} - {x}^{2} {y}^{2} + {y}^{4} \\ {x}^{4} + {y}^{4} - {(xy)}^{2} [/tex]
PLEASE HELP ITS MATH THANK YOUUUU
how to write 1 in numbers ?
Answer:
To write 1 in a numerical form, you have to check its place value. It's 1. So, 1 is 1 in numerical form. :-)Anna has already baked 17 pies, and she plans to bake more pies. With each 1 cup of sugar, she can bake two pies. Anna has 11 additional cups of sugar. How many total pies can Anna bake?
The total pies Anna can bake is 22.
The total pies Anna can bake would be determined by the amount of cups of sugar she has. Anna has already baked 17 pies. From the question, one cup of sugar can bake two pies. This means that the number of additional cups she has would be multiplied by two in order to determine the total number of pies she can bake.
Pies Anna can bake = additional cups of sugar x 2
11 x 2 = 22 pies
A similar question was answered here: https://brainly.com/question/19495512?referrer=searchResults
4x-9=-3 2/3 can someone evaluate x for me
Answer:
x=1 1/3
Step-by-step explanation:
Help very urgent, . . .
Answer: 3.1
Step-by-step explanation: