Which function is the inverse of the function f(x) = 4x2 + 10, if the domain of f(x) is x 2 0?

Using the normal distribution, it is found that:

a) 0.8599 = 85.99% probability that x is more than 60.

b) 0.1788 = 17.88% probability that x is less than 110.

c) 0.6811 = 68.11% probability that x is between 60 and 110.

d) 0.0643 = 6.43% probability that x is greater than 125.

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]

In this problem:

Item a:

This probability is 1 subtracted by the p-value of Z when X = 60, thus:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{60 - 87}{25}[/tex]

[tex]Z = -1.08[/tex]

[tex]Z = -1.08[/tex] has a p-value of 0.1401.

1 - 0.1401 = 0.8599

0.8599 = 85.99% probability that x is more than 60.

Item b:

This probability is the p-value of Z when X = 110, thus:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{110 - 87}{25}[/tex]

[tex]Z = 0.92[/tex]

[tex]Z = 0.92[/tex] has a p-value of 0.8212.

1 - 0.8212 = 0.1788.

0.1788 = 17.88% probability that x is less than 110.

Item c:

This probability is the p-value of Z when X = 110 subtracted by the p-value of Z when X = 60.

From the previous two items, 0.8212 - 0.1401 = 0.6811.

0.6811 = 68.11% probability that x is between 60 and 110.

Item d:

This probability is 1 subtracted by the p-value of Z when X = 125, thus:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{125 - 87}{25}[/tex]

[tex]Z = 1.52[/tex]

[tex]Z = 1.52[/tex] has a p-value of 0.9357.

1 - 0.9357 = 0.0643.

0.0643 = 6.43% probability that x is greater than 125.

A similar problem is given at https://brainly.com/question/24863330

Step-by-step explanation:

of a right triangle if the longer leg is 11 feet more than the shorter leg and the hypotenuse is 11 feet less than twice the shorter leg.

Answer:

c is it

Step-by-step explanation:

Rawr hope it helps

Answer:

Have a splendiferous day...

Step-by-step explanation:

3÷12=¼

6÷10=⅗

7÷14=½

10÷11=⅚

2÷4=½

4÷16=¼

3÷24=⅛

18÷54=⅓

Answer:

1) 3÷12=[tex]\frac{1}{4}[/tex]

2) 6÷10=[tex]\frac{3}{5}[/tex]

3) 7÷14=[tex]\frac{1}{2}[/tex]

4) 10÷12=[tex]\frac{5}{6}[/tex]

5) 2÷4=[tex]\frac{1}{2}[/tex]

6) 4÷16=[tex]\frac{1}4[/tex]

7) 3÷24=[tex]\frac{1}{8}[/tex]

8) 18÷54=[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Hope this helps have a great day ahead! Have a great Halloween :) Tell me if im wrong please <3

Since, 100 is a positive integer and is a counting number. Hence, it is considered to be a whole number.

Answer:

San francisco

Step-by-step explanation:

once you divide the distance by time then multiply the answer by the longest amount of time (aka 4)

San francisco = 2556

Minot = 1826

Phoenix = 2252

$4,350  x 0.02 = $87

$360  - $87 = $273

Interest $270 no rebate

so $273 - $270 = $3

The family's rebate at the end of the year is $113.

A rebate is a form of buying discount and is an amount paid by way of reduction, return, or refund that is paid retrospectively. It is a type of sales promotion that marketers use primarily as incentives or supplements to product sales.

Given that, a credit card company offers an annual 2% cash-back rebate on all gasoline purchases.

A family spent $5,650 on gasoline purchases over the course of a year.

Now, rebate =2% of 5650

= 2/100 ×5650

= 0.02×5650

= $113

Therefore, the family's rebate at the end of the year is $113.

Learn more about the rebate here:

https://brainly.com/question/15516502.

#SPJ2

Answer:

9

Step-by-step explanation:

1. m/3+4-4=7-4

2. m/3=3

3. m/3*3 = 3*3

4. m=9

Answer:

m=9

Step-by-step explanation:

m/3+4-4=7-4

m/3=3

m/3*3=3*3

m=9

Answer:

they are already paralell

Step-by-step explanation:

ok

Answer:

Step-by-step explanation:

[tex]\frac{8}{x} =cos 60\\\frac{8}{x} =\frac{1}{2} \\x=8 \times2=16\\\frac{y}{x} =sin60\\\frac{y}{16} =\frac{1}{\sqrt{2}} \\y=\frac{16}{\sqrt{2}} \\y=\frac{16}{\sqrt{2}} \times\frac{\sqrt{2}}{\sqrt{2}} \\y=\frac{16\sqrt{2}}{2} =8\sqrt{2}[/tex]

Answer:

the second option/x = 4, y = 8√3

Step-by-step explanation:

out of the tree options, the second one makes sense

Answer:

5 d) 9 1/3

6 d) 2

Step-by-step explanation:

Proportions:

5

7 ⇒ 4

BY ⇒3

BY = 7*4/3

BY = 28/3

28/3 = 27/3 + 1/3 = 9 1/3

BY = 9 1/3

6

12 ⇒ 3

8  ⇒ SX

SX = 3*8/12

SX = 2

Answer:

-1.409

Step-by-step explanation:

I’m assuming this a z-score for stats. You would just go into your calculator, in my case a Casio. Then, you’d press on the stats module, click F5 (DIST), F1 (NORM), F3 (InvN). You would change the data to variable, then put in tail right, area .9207, SD 1, mean of 0. Then hit execute and you’ll get the answer of -1.4097958. Round it if needed.

Answer:

shorter piece = 6. longer piece = 12

Step-by-step explanation:

short piece = s

long piece = l

l+s= 18

l= 6+s , substitute

6+s+s = 18

6+2s= 18

2s= 18-6

2s= 12

s=12/2

s= 6= shorter piece

l= 6+s

l= 6+6= 12 = longer piece

Answer:

y = x/4 + 1

Step-by-step explanation:

x - 4y = -4

x + 4 = 4y

y = x/4 + 1

Answer:

1

Step-by-step explanation:

change to y=mx+b -> 4y=-x+4

divide 4 one the right side

y=4x+1

put zero one place of x

y=4(0)+1

y=0+1

y=1

Answer:

I do lol

Step-by-step explanation:

Answer:

why would you wanna do someone's homework on Math and English?

Step-by-step explanation:

they wouldn't learn anything if they make you do their homework, besides what's the point of the homework if they don't learn anything? I know homework's are hard, but they give it for you to understand more of the lesson.

and you will also make yourself tired doing someone's homework what about your responsibilities?

It'll be only beneficial for you but not for them yeah you'll get money but its best if you let them do their homework. I mean homework's aren't that bad.

They just think they can't do it cause their lazy, and they think they wouldn't know the answer. Besides they can't just lay around all day because they paid you for doing their homework, they won't even know if your scamming them.

Answer:

5/288

Step-by-step explanation:

Lotion - liquid

Suspension- semisolid

Capsule- Solid

Hope this helps :)

Answer:

(50+20) +37=70+37=107

Usando un sistema de ecuaciones, hay que se elaboraron 6 títulos y 16 actas.

Para el sistema, hay que:

Total de 22 operaciones, o sea:

[tex]x + y = 22[/tex]

$3500 por elaborar un título de propiedad y $2000 por el acta constitutiva de una empresa. Ingreso total de $53000, o sea:

[tex]3500x + 2000y = 53000[/tex]

De el primer ecuación:

[tex]y = 22 - x[/tex]

Reemplazando en la segunda:

[tex]3500x + 2000y = 53000[/tex]

[tex]3500x + 2000(22 - x) = 53000[/tex]

[tex]1500x = 9000[/tex]

[tex]x = \frac{9000}{1500}[/tex]

[tex]x = 6[/tex]

[tex]y = 22 - x = 22 - 6 = 16[/tex]

Se elaboraron 6 títulos y 16 actas.

Un problema similar es dado en https://brainly.com/question/24646137

Answer:

.. what ? can you be more specific & show a pic or sum ?

Answer: 7:1

Step-by-step explanation:

The answer is 7:1 because when referring to ratios the answer has to correspond to a group of items to something else. In this case, we are comparing 7 inches to a yard.

[tex] = 9 \frac{9}{10} \\ \\ in \: \: alternate \: \: forms \\ \\ \frac{99}{10} \: \: \: and \: \: 9.9 \\ \\ hope \: it \: \: helps[/tex]

Answer:

DOMAIN = {3, 4, 5, 6, 7}, RANGE = {2, 1, 9, 12}, the relation is a function.

Step-by-step explanation:

The domain of the relation is the set of points in A which have a tail connected to it.  That is {3, 4, 5, 6, 7}.

The range of the relation is the set of points in B which have a tip connected to it.  That is {2, 1, 9, 12}.

Since each element of the domain of the relation is associated with exactly one element of the range, the relation is a function.

Answer:

y=4x

Step-by-step explanation:

The probability of 1 number showing up out of 20 is 1/20

The probability of 3 different numbers showing up would be 3/20

Answer: 3/20

Answer:

D i did the test

Step-by-step explanation:

Answer:

D: she need change 0.2 to 2

Step-by-step explanation:

70 divide 20% = 14

40% divide 20% = 2

Answer: B

Step-by-step explanation:

Oki so I know this becaue I study to much and because if there was an answer saying this : y=6x+3 it would be wrong because it is adding to the constant

So y=6x is proportinal because it is allways constant. I forgot this was an example sorry.

Answer:

B. since x can equal anything, but nine is in front therefore, it can be what you want, so it is B.

Answer:

-31

Step-by-step explanation:

1. Simplify 4+2 to 6

5-6^2

2.Simplify 6^2 to 36

5-36

3.Simplify

-31

Hope this helps :)

5 - (4+2)^2

add what is inside of the parentheses

4 + 2 = 6

then do the exponent, which would be 6 times itself

5 - 6^2

6(6)

then subtract 36 from 5, which gives the answer of -31.

5 - 36 = -31

the answer is -31, hope this helps!