alvin is 11 years older than ella. the sun of their ages is 59. what is elgas age

The sum of 15 and twice Carlos' age.

The sum would be addition. So;

[tex]15\: +[/tex]

Twice means 2 times Carlos' age. And [tex]c[/tex] is the variable, so;

[tex]15+2c[/tex]

Note that 2 and c together like that is multiplication.

Answer:

1. f(x)+g(x)=3x−7+x2+5x

2. 5x+x2-7+3x

Step-by-step explanation:

Answer:

[tex]K=30[/tex]

Step-by-step explanation:

[tex]rewrite \: the \: equation \: as \: \frac{k}{9} = \frac{10}{3} [/tex]

[tex] \frac{k}{9} = \frac{10}{3} [/tex]

[tex]multiply \: both \: sides \: of \: the \: equation \: \\ by \: 9.[/tex]

[tex]9. \frac{k}{9} = 9. \frac{10}{3} [/tex]

[tex]simplify \: both \: sides \: of \: the \: equation.[/tex]

[tex]cancel \: the \: common \: factor \: of \: 9.[/tex]

[tex]cancel \: the \: common \: factor.[/tex]

[tex]9. \frac{k}{9} = 9. \frac{10}{3} [/tex]

[tex]rewrite \: the \: expression.[/tex]

[tex]k = 9. \frac{10}{3} [/tex]

[tex]cancel \: the \: common \: factor \: of \: 3.[/tex]

[tex]factor \: 3 \: out \: of \: 9.[/tex]

[tex]k=3(3)⋅ \frac{10}{3} [/tex]

[tex]cancel \: the \: common \: factor.[/tex]

[tex]k=3⋅3⋅ \frac{10}{3} [/tex]

[tex]rewrite \: the \: expression.[/tex]

[tex]k=3⋅10[/tex]

[tex]multiply \: 3 \: by \: 10.[/tex]

[tex]k = 30[/tex]

Answer:

₹ 19 1/8.

Step-by-step explanation:

That is 8 1/2 * 2 1/4

= 17/2 * 9/4

= 153/8

= 19 1/8.

Answer:

₹ 19.125 or ₹ 19 1/8

Step-by-step explanation:

1 kg = ₹ 8 1/2

2 1/4 kg = x

8 1/2 can be written as 8.25

2 1/4 can be written as 2.25

To find x:

1. Multiply both sides by 2.25:

1kg × 2.25 = 2.25kg

₹ 8.5 × 2.25 = ₹ 19.125

Answer = ₹ 19.125 or ₹ 19 1/8

Answer:

The domain is the set of x-values:

The range is the set of y-values:

This can be a function as each x- value has exactly one corresponding y- value.

Points are

All x values has a unique image in y so it's a function

[tex]\\ \sf\longmapsto D_f=\{-4,-2,1,4,2\}[/tex]

[tex]\\ \sf\longmapsto R_f=\{-1,1,-2,-4,4\}[/tex]

?                                                                    

ufjkdjfzkvbz,dhfbvc,jc,vjbvjkxb,gbjkfnkgjfs,kbbcvcxccccc

Answer:

I'm pretty positive it's All real answers?

Step-by-step explanation:

state that the state that the atmosphere around the earth is different from those Around The Other plants of the geography class 9th in short The warmer and less dense air near the ground rises during the day pulling more air through the valley floor. This gentle upslope wind known as a valley breeze. ... The cooler and denser air at higher elevations flows back down the slopes of the mountain and into the valley. This is called a mountain breeze.29-May-2017



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Mountain and Valley Breezes - WeatherNation

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A mountain breeze and a valley breeze are two related, localized winds that occur one after the other on a daily cycle. They are not the same as anabatic and katabatic winds, which are larger and stronger. These winds are opposite from each other. Wikipedia

The probability that the one-year return of this stock will be positive is 0.8849.

A data collection with a normal distribution is put up so that the majority of the values cluster in the middle of the range and the remaining values taper off symmetrically in either direction.

The random variables whose values can locate any unknown value within a defined range are those that follow the normal distribution. for instance, determining the school's student population's height.

Given:

A data is normally distributed with a mean of 5%.

and a standard deviation of 5% .

So, z- score

z(0) = (0-5)/5

z(0) = -1

and, the probability that the one-year return of this stock will be positive

P(x> 0)

= P(z > -1)

= normalcdf(-1.125,100)

= 0.8849

Learn more about Normal Distribution here:

https://brainly.com/question/15103234

#SPJ5

Answer:

3

Step-by-step explanation:

(-5) × ? = (-15)

? = (-15)/(-5)

? = 3

3

(-5) × ? = -15

? = -15 ÷ (-5)

? = 15 ÷ 5

? = (3 × 3 × 3) <= 3 Factor

? = 3

Value of ? is 3.

[tex] [/tex]

Answer:

x=30o+n90on∈Z

Step-by-step explanation:

cos2x=sin(90o−2x)=sin(2x−30o)

Which mean 90o−2x=2x−30o+n360o

or 90o−2x+2x−30o=(2n+1)180o

The later cannot be true.

so x=30o+n90on∈Z

[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]

The value of tan x is :

solution is in attachment !

Answer:

c

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Ok, first the formula for this is a^2+b^2=c^2

or leg^2+ leg^2= hypotenuse^2

so (12)^2+(9)^2=hy^2

144+81, 225=hy^2

hy=square root of 225: 15

Answer:

(300 + 45x) /x

Step-by-step explanation:

Total cost will be the addition of the fixed cost and the variable cost which will be:  

= 300 + (45 × x)  

= 300 + 45x

Amount that needs to be charge for each attendee in order to cover the cost of hosting the event will be:  

= (300 + 45x) / x

The equation of the circle that has a diameter with endpoints located at (0, –3) and (6, 5) is;

The midpoint of the diameter of a circle is it's center.

As such; the coordinates of its center are;

The coordinates of the center are then; (3, 1)

The radius of a circle is half the length of the diameter;

Therefore, radius, r = 10/2 = 5.

Therefore, the equation of the circle usually takes the form;

In this scenario; the equation is;

Read more;;

https://brainly.com/question/16646649

Answer:

2a. It will be 6 inches tall

2b. B

Answer:

It is D

Step-by-step explanation:

i can't type because im slow

Answer:

- ASA stands for "angle, side, angle" and means that we have two triangles where we know two angles and the included side are equal.

- If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

Step-by-step explanation:

Answer:

:)fftcyctcyycycgccyvyctycgccy

Step-by-step explanation:

Using the binomial distribution, it is found that:

a) The possible values of X are between 0 and 20.

b) 0.0596 = 5.96% probability that exactly 3 experience insomnia as a side effect.

c) 0.9842 = 98.42% probability 3 or fewer experience insomnia.

d) 0.639 = 63.9% probability that between 1 and 4 experience insomnia.

e) Since [tex]4 > E(X) + 2.5\sqrt{V(X)}[/tex], it would be unusual to find 4 or more patients experience insomnia as a side effect.

For each patient, there are only two possible outcomes, either they experience insomnia, or they did not. The probability of a patient having experienced insomnia is independent of any other patient, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n trials, with p probability.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]  

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]  

The expected value is:

[tex]E(X) = np[/tex]

The standard deviation is:

[tex]\sqrt{V(X)} = \sqrt{np(1 - p)}[/tex]

If a measure is more than 2.5 standard deviations above the mean, it is considered unusual.

In this problem:

Item a:

The possible values of X are always between 0 and n, thus in this case, it is between 0 and 20.

Item b:

This probability is P(X = 3), thus:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{20,3}.(0.05)^{3}.(0.95)^{17} = 0.0596[/tex]

0.0596 = 5.96% probability that exactly 3 experience insomnia as a side effect.

Item c:

This probability is [tex]P(X \leq 3)[/tex], given by:

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

Then:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{20,0}.(0.05)^{0}.(0.95)^{20} = 0.3585[/tex]

[tex]P(X = 1) = C_{20,1}.(0.05)^{1}.(0.95)^{19} = 0.3774[/tex]

[tex]P(X = 2) = C_{20,2}.(0.05)^{2}.(0.95)^{18} = 0.1887[/tex]

[tex]P(X = 3) = C_{20,3}.(0.05)^{3}.(0.95)^{17} = 0.0596[/tex]

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.3585 + 0.3774 + 0.1887 + 0.0596 = 0.9842[/tex]

0.9842 = 98.42% probability 3 or fewer experience insomnia.

Item d:

This probability is:

[tex]P(1 \leq X \leq 4) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)[/tex]

Then

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 1) = C_{20,1}.(0.05)^{1}.(0.95)^{19} = 0.3774[/tex]

[tex]P(X = 2) = C_{20,2}.(0.05)^{2}.(0.95)^{18} = 0.1887[/tex]

[tex]P(X = 3) = C_{20,3}.(0.05)^{3}.(0.95)^{17} = 0.0596[/tex]

[tex]P(X = 4) = C_{20,4}.(0.05)^{4}.(0.95)^{16} = 0.0133[/tex]

[tex]P(1 \leq X \leq 4) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.3774 + 0.1887 + 0.0596 + 0.0133 = 0.639[/tex]

0.639 = 63.9% probability that between 1 and 4 experience insomnia.

Item e:

[tex]E(X) = np = 20(0.05) = 1[/tex]

[tex]\sqrt{V(X)} = \sqrt{np(1 - p)} = \sqrt{20(0.5)(0.95)} = 0.975[/tex]

[tex]E(X) + 2.5\sqrt{V(X)} = 1 + 2.5(0.975) = 3.44[/tex]

Since [tex]4 > E(X) + 2.5\sqrt{V(X)}[/tex], it would be unusual to find 4 or more patients experience insomnia as a side effect.

A similar problem is given at https://brainly.com/question/24863377

Answer:

sorry bro im just getting points

9514 1404 393

Answer:

  21

Step-by-step explanation:

8 years ago, both were 8 years younger, so the total of their ages would have been 68 -2×8 = 52. If the ratio of their ages was 1 : 3, then the son's age then was 1/(1+3) = 1/4 of the total. 1/4×52 = 13.

Now, 8 years later, the son's age is 13 +8 = 21.

__

Then, Aloysius was 3×13 = 39. Now, Aloysius is 39+8 = 47, and the sum of their ages is 21 +47 = 68, as required.

Step-by-step explanation:

1.)  y = - |x - 4| - 5 is an absolute value graph, where its vertex occurs at point (4, -5). The general form of the absolute value function is y = a |x – h| + k, where where:

The given absolute value function, y = - |x - 4| - 5 is a downward-facing graph, where it is translated 4 units to the right (as given by the value of h = 4), and 5 units downward (as given by the value of k = 5).  

2.) The Vertical Line Test allows us to know whether or not a graph is actually a function.  If a vertical line intersects the graph in all places at exactly one point, then the relation is a function. To use the vertical-line test, imagine dragging a ruler held vertically across the  graph from left to right. If the graph is that of a function, the edge of the ruler would hit the graph only once for every x -value.  If you do this for the given graph, every vertical line intersects the graph in at most one point.

Attached is the graph of the given function, where I performed the Vertical Line Test.  As evidenced in the graph, every green vertical line intersects the graph at exactly one point (red dots on the graph). Thus, the graph passed the Vertical Line Test, thereby qualifying as a function.  

Please mark my answers as the Brainliest if you find this explanation helpful :)    

Answer:

No solution, this is not an arithmetic sequence

Step-by-step explanation:

An arithmetic sequence is the same number being added over and over. This is not the case.

Answer:

3/7

Step-by-step explanation:

hope this helps :)

Answer:

I would estimate 923

Step-by-step explanation:

Answer:

50%

Step-by-step explanation: