The ratio of boys to students is 3 to 7. If there are 20 girls in the school, then how many boys are in the school?

Answer:

Choice c. [tex]\sqrt{12}[/tex]

Step-by-step explanation:

Vectors

Suppose we have a vector v defined as

[tex]\vec v=a\mathvf{i}+b\mathvf{j}[/tex]

The magnitude of the vector is:

[tex]\mid\mid\vec v\mid\mid=\sqrt{a^2+b^2}[/tex]

On the other hand, the dot product of the vector by itself is:

[tex]\vec v\cdot\vec v=a*a+b*b=a^2+b^2[/tex]

Note the relation between these two operations is:

[tex]\mid\mid\vec v\mid\mid=\sqrt{\vec v\cdot\vec v}[/tex]

Since we are given:

[tex]\vec v\cdot\vec v=12[/tex], then:

[tex]\mid\mid\vec v\mid\mid=\sqrt{12}[/tex]

Choice c) [tex]\sqrt{12}[/tex]

Answer: 1. 10   2. 18

Step-by-step explanation:

1.) 25% of 40 is 10 so she made 10 free throws.

2.) 150% of 12 is 18 so she made 18 free throws.

It is very blurry.. please try asking the question again for me to see.

Here is the full question:

[tex]The \ shell \ of \ the \ land \ snail \ Limocolaria \ martensiana \ has \ two \ possible \ color[/tex][tex]forms: \ streaked \ and \ pallid. \ In \ a \ certain \ population \ of \ these \ snails, \ 60\% \ o f \ the[/tex][tex]individuals \ have \ streaked \ s hells.\ 16 \ Suppose \ that \ a \ random \ sample \ of \ 10 \ snails[/tex][tex]is \ to \ be \ chosen \ from \ this \ population. \ F ind \ the \ probabilit y \ that \ the \ percentage \ of[/tex]

[tex]streaked-shelled \ snails \ in \ t he \ sample \ will \ be[/tex]

[tex](a) 50\%. \ (b) 60\%. \ (c) 70\%.[/tex]

Answer:

(a) 0.2007

(b) 0.2510

(c) 0.2150

Step-by-step explanation:

Given that:

The sample size = 10

Sample proportion= 60% 0.6

Let X represents the no of streaked-shell snails.

[tex]X \sim Binom (n =1 0, p = 0.60)[/tex]

The Probability mass function (X) is:

[tex]P(X =x)= (^n_x) p^x(1-p)^{n-x}; x = 0,1,2,3...[/tex]

The Binomial probability with mean μ = np

= 10 * 0.6

= 6

Standard deviation σ = [tex]\sqrt{np(1-p)}[/tex]

= [tex]\sqrt{10*0.6*(1-0.6)}[/tex]

= 1.55

The probability that the percentage of the streaked-shelled snails in the sample will be:

a)

[tex]P(X = 0.5) = ^nC_x p^x (1 -p) ^{(n-x)}[/tex]

[tex]= ^{10}^C_5 * (0.6)^5(1-0.6)^{10-5}[/tex]

[tex]= \dfrac{10!}{5!(10-5)!} * (0.6)^5(1-0.6)^{10-5}[/tex]

= 0.2007

b)

[tex]P(X = 0.6) = ^nC_x p^x (1 -p) ^{(n-x)}[/tex]

[tex]= ^{10}^C_6 * (0.6)^6(1-0.6)^{10-6}[/tex]

[tex]= \dfrac{10!}{6!(10-6)!} * (0.6)^6(1-0.6)^{10-6}[/tex]

= 0.2510

c)

[tex]P(X = 0.7) = ^nC_x p^x (1 -p) ^{(n-x)}[/tex]

[tex]= ^{10}^C_7 * (0.6)^7(1-0.6)^{10-7}[/tex]

[tex]= \dfrac{10!}{7!(10-7)!} * (0.6)^7(1-0.6)^{10-7}[/tex]

= 0.2150

Answer:

6

Step-by-step explanation:

Answer:

y=-x-7

Step-by-step explanation:

So the line goes down one unit for every unit it goes to the left.

Slope is rise over run which would be -1/1 (simplify to -1)

The line crosses the y axis at -7

So to put it in slope-intercept form (y=mx+b) it would be y=-1x-7

You don't have to include the one in -1x because its the same as saying -x

Answer: 20-w33

Step-by-step explanation:

So easy yaar! SO. EASY!

Just find the slope by connecting the megapixel by the hardrive!

Then calculate the cheese fromage from the stroop waffle, simply add the chemistry hypothecary theory, and your're set!

Don't forget to comma the C's and capitalize the G's!

Answer:

6

Step-by-step explanation:

Answer:

C = 62.8 cm

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Step-by-step explanation:

Step 1: Define

r = 10 cm

Step 2: Find C

Answer:

62.8

Step-by-step explanation:

Radius is 10, so the diameter is 20 (10x2)

20 x 3.14(pi)= 62.8

Answer:

I don't Know if this is division or fraction

Step-by-step explanation:

But I divided

and my answer was 5r4

Answer:x= 8/√3, y= 16/ √3

Step-by-step explanation:

See the picture below

Step-by-step explanation:

[tex]\huge\bold\purple{ equivalent\: of \: -10d+24 }[/tex]

Answer:

767657

Step-by-step explanation:

Step-by-step explanation:

not sure about this one sorry cant help ya but i do have a hint its B

Answer:

true

Step-by-step explanation:

its TRUE :)

Answer:

False

Step-by-step explanation:

Take a=-1 and b=-1/7

-3+-15/7=-36/7 which is not divisible by 3. There are several other examples which I don't even need to prove

Answer:

7π

Step-by-step explanation:

SO first find the area of the whole circle

which has a radius of 3

a=πr^2

So 3^2=9

9π

Now the two circles which are the same in area due to having the same radius

so if you plug in the 1 for radius the answer would just be π or 1π

now multiply that by 2 becuase there are 2 identical circles

π*2=2π

Now subtract

9π-2π=7π

Answer:

Step-by-step explanation:

area of unshaded circle:

A=π*r^2=π*1=π

we have 2 circles so the area of both circles are 2π

area of the large circle is A(l)=Π*3^2=Π*9=9Π

area of the shaded region: A(s)=9Π-2Π=7Π

Answer:

[tex]H = 5200[/tex] - Hypotenuse

[tex]S_1 = 2000[/tex] - Leg 1

[tex]S_2 = 4800[/tex] - Leg 2

Step-by-step explanation:

Represent the dimensions as:

[tex]H = Hypotenuse[/tex]

[tex]Other\ Legs = \{S_1,S_2\}[/tex]

So, we have:

[tex]S_1 = 2000[/tex]

[tex]H = 400 + S_2[/tex]

Required

Determine the dimensions

Apply Pythagoras theorem

[tex]H^2 = S_1^2 + S_2^2[/tex]

This gives:

[tex](400 + S_2)^2 = 2000^2 + S_2^2[/tex]

Open bracket

[tex]160000 + 800S_2 + S_2^2 = 4000000 + S_2^2[/tex]

[tex]160000 + 800S_2 = 4000000[/tex]

Collect Like Terms

[tex]800S_2 = 4000000 - 160000[/tex]

[tex]800S_2 = 3840000[/tex]

Solve for S2

[tex]S_2 = \frac{3840000}{800}[/tex]

[tex]S_2 = 4800[/tex]

Recall that:

[tex]H = 400 + S_2[/tex]

[tex]H = 400 + 4800[/tex]

[tex]H = 5200[/tex]

Hence, the dimensions are:

[tex]H = 5200[/tex]

[tex]S_1 = 2000[/tex]

[tex]S_2 = 4800[/tex]

Answer:bro its just a  black picture

Step-by-step explanation:

Answer: 24xy

I'm not sure if I'm right, but if I am and you have any questions about how it was solved, feel free to ask!! :)

Answer:

A

Step-by-step explanation:

Answer:

Only B is linear

Step-by-step explanation:

Answer:

You have to divide the total sales by 8 percent. 32,000/ 0.8 =40,000

So your answer is 40,000.

Step-by-step explanation:

Answer:

4060

Step-by-step explanation:

8/100(32000)+1500=4060

Answer:

The answer must be D

Step-by-step explanation:

When a shape like a trapezoid is rotated, the figure will remain the same which means that a rotation will not change the measure of the angles, or the measure of the sides, therefore d must be correct because a rotation is a rigid transformation.

Answer: Rectangle

Reasoning: 4 straight sides, 2 pairs of sides of equal length.

Answer:

25 kilometers

Step-by-step explanation:

Answer:

9/2

5/3

13/4

3/2

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

We know that the integers are consecutive. This means that they can be written as:

x, x + 1, and x+2.

First Integer: x

Second Integer: x + 1

Third Integer: x + 2

It is also given that the sum of the first integer and twice the second is 80 minus three times the third.

Write as an equation:

First Integer + 2(Second Integer) = 80 - 3(Third Integer)

Substitute:

x + 2(x+1) = 80 - 3(x+2)

Multiply:

x + 2x + 2 = 80 - 3x - 6

Simplify:

3x + 2 = 74 - 3x

Add 3x to both sides of the equation:

6x + 2 = 74

Subtract 2 from both sides of the equation:

6x = 72

Divide both sides of the equation by 6:

x = 12

Let me know if you have any questions about my explanation!

Answer:

Step-by-step explanation:

According to question ,

• First Integer → x

• Second Integer → x + 1

• Third Integer → x + 2

Now question says that the sum of the first and twice the second is 80 minus three times the third that means ,

→ x + 2 ( x + 1 ) = 80 - 3 ( x + 2 )

→ x + 2x + 2 = 80 - 3x - 6

→ 3x + 2 = -3x + 74

→ 3x + 3x = 74 - 2

→ 6x = 72

→ x = 72/6

→ x = 12

Hence , value of x is 12 that means :

→ x = First Integer = 12

→ x + 1 = Second Integer = 13

→ x + 2 = Third Integer = 14

In all of these x is the smallest integer and hence 12 is the correct answer .

Answer:

[tex]a_{n} = \frac{n}{(n +1)^{2}}[/tex]

Step-by-step explanation:

[tex]a_{n} = \frac{n}{(n +1)^{2}}[/tex]

[tex]a_{1} = \frac{1}{(1 +1)^{2}} = \frac{1}{2^{2}} = \frac{1}{4}\\\\a_{2} = \frac{2}{(1 +2)^{2}} = \frac{2}{3^{2}} = \frac{2}{9}\\\\a_{3} = \frac{3}{(1 +3)^{2}} = \frac{3}{4^{2}} = \frac{3}{16}\\[/tex]

Answer:

For f(x) to be differentiable at 2, k = 5.

Step-by-step explanation:

For f(x) to be differentiable at x = 2, f(x) has to be continuous at 2.

For f(x) to be continuous at 2, the limit of f(2 – h) = f(2) = f(2 + h) as h tends to 0.

Now,

f(2 – h) = 2(2 – h) + 1 = 4 – 2h + 1 = 5 – 2h.

As h tends to 0, lim (5 – 2h) = 5

Also

f(2 + h) = 3(2 + h) – 1 = 6 + 3h – 1 = 5 + 3h

As h tends to 0, lim (5 + 3h) = 5.

So, for f(2) to be continuous k = 5

Answer:

growth

140%

Step-by-step explanation:

The function f(x) is an exponential growth function as f(x) increases when x increases.

The percent rate of change of the function f(x) is 201.6%.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = 0.6 [tex](2.4)^x[/tex]

For x = 1,

f(1) = 0.6 x 2.4 = 1.44

For x = 2,

f(2) = 0.6 x 2.4² = 0.6 x 5.76 = 3.456

For x = 3,

f(3) = 0.6 x 2.4³ = 0.6 x 18.824 = 8.2944

We see that,

As the value of x increases, the value of f(x) increases.

f(x) is an exponential growth function.

Now,

The percentage rate of change of function f(x).

= (f(2) - f(1)) / (2 - 1) x 100

= (3.456 - 1.44) x 100

= 2.016 x 100

= 201.6 %

Thus,

f(x) is an exponential growth function.

f(x) percent rate of change is 201.6%

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ2

Answer:

D is the answer

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:hope it helped

Step-by-step explanation:

c answer