There are 3 boys for every 4 girls in Mrs. G.'s math class.
Find the constant of proportionality and write an equation to determine the number of boys in Mrs. G.'s class if you know the number of girls in Mrs. G's
class

Answer:

Undefined

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

anything over 5 you round up.

7 is greater than 5 so you round up to 6

Answer: 5

Step-by-step explanation:

If the number is 5 or more, you round it up.

It the number is 4 or less, you leave it alone.

Using this process, we eliminate the numbers .734

We get the number 5 as our answer.

0 solutions.

2(75+8) =5(85+9)

166≠470

Answer:

I think true.

Step-by-step explanation:

Answer:

if I'm not wrong, its x>34

Step-by-step explanation:

multiply both sides by 3

3(x - 4)/3 > 10 x 3

x - 4 > 30 (simplify)

add 4 to both sides and x > 34

Answer:

D

Step-by-step explanation:

A linear function has exactly one output to each input.

The given function has both negative associations and assigns exactly one output to each input. Options C and D both are correct.

Given that,
Thomas has graphed the function y = 7x – 10 on a coordinate plane.

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,

As the function is the equation of the straight line that implies it gives exactly one output to each input and has negative input or negative association to sub-function 7x.

Thus, the given function has both negative associations and assigns exactly one output to each input. Options C and D both are correct.

learn more about function here:

brainly.com/question/21145944

#SPJ6

Answer:

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

According to the midsegment theorem,

HG = ½(QS)

Thus:

21 + 2x = ½(2x + 24)

Multiply both sides by 2

2(21 + 2x) = 2x + 24

42 + 4x = 2x + 24

Collect like terms

42 - 24 = 2x - 4x

-18 = -2x

Divide both sides by -2

9 = x

x = 9

Answer:

yes

Step-by-step explanation:

they are congruent

Answer:

6 and 4

Step-by-step explanation:

6 + 4 = 10

6 - 4 = 2

Hope this helped you :)

6 and 4

6-4 = 2

6+4 = 10

They tell you the sum is 10, so think of #'s that make 10:

1,9

2,8

3,7

4,6

5,5

Now, which ones make 2 when subtracted

9-1 = 8

8-2 = 6

7-3 = 4

6-4 = 2

5-5 = 0

Therefore, the answers are 6 and 4

Answer:

8/12

Step-by-step explanation:

Answer:

a) The value of A = 2

b) The value of [tex]B = \dfrac{1}{12}[/tex]

Step-by-step explanation:

a)

Given that:

X should be the random variable that assumes only positive integer values.

The probability function; [tex]P[X = n] = \dfrac{A}{3^n}[/tex] for some constant A and n ≥ 1.

Then, let [tex]\sum \limits ^{\infty}_{n =1} P[X =n] = 1[/tex]

This implies that:

[tex]A \sum \limits ^{\infty}_{n =1} \dfrac{1}{3^n}= 1[/tex]

[tex]A \times \dfrac{\dfrac{1}{3}}{1 - \dfrac{1}{3}} = 1[/tex]

[tex]A \times \dfrac{\dfrac{1}{3}}{\dfrac{2}{3}} = 1[/tex]

[tex]A \times \dfrac{1}{2}=1[/tex]

A = 2

Thus, the value of A = 2

b)

Suppose X represents a e constant A (n> 1). Find A.

b) Let X be a continuous random variable that can assume values between 0 and 3

Then, the density function of x is:

[tex]f_x(x) = \left \{ {{B(x^2+1)} \ \ \ 0 \le x \le 3 \ \ \ \atop {0} \ \ \ otherwise} \right.[/tex]

where; B is constant.

Then, using the property of the probability density function:

[tex]\int ^3_0 \ B (x^2+1 ) \ dx = 1\\[/tex]

Taking the integral, we have:

[tex]B \Big [\dfrac{x^3}{3} +x \Big ]^3_0 = 1[/tex]

[tex]B \Big [\dfrac{3^3}{3} +3 \Big ]= 1[/tex]

[tex]B \Big [\dfrac{27}{3} +3 \Big ] = 1[/tex]

B [ 9 +3 ] = 1

B [ 12 ] = 1

Divide both sides by 12

[tex]B = \dfrac{1}{12}[/tex]

Answer:

y ≤ 3x − 1

y ≤ −x + 4

Step-by-step explanation:

Answer:

A)  P(Z > 5000) = 0.0322

B)  P( Y = 2 or 3) ≅  0.9032

Step-by-step explanation:

From the given information;

Suppose the sales for the first week are denoted by X and the sales for the second week are denoted by Y.

Then;

X & Y are independent and they follow a normal distribution.

i.e.

[tex]XY \sim N(\mu,\sigma^2)[/tex]

[tex]XY \sim N(2200,230^2)[/tex]

If we set Z to be equal to X+Y

Then, [tex]Z \sim N(2 \times 2200,2 \times 230^2)[/tex] since two normal distribution appears normal

[tex]Z \sim N(4400,105800)[/tex]

So;

[tex]P(Z > 5000) = 1 - P( Z< \dfrac{x = \mu}{\sqrt{\sigma}})[/tex]

[tex]P(Z > 5000) = 1 - P( Z< \dfrac{5000-4400}{\sqrt{105800}})[/tex]

[tex]P(Z > 5000) = 1 - P( Z< \dfrac{600}{325.2691})[/tex]

[tex]P(Z > 5000) = 1 - P( Z< 1.844626495)[/tex]

[tex]P(Z > 5000) = 1 - P( Z< 1.85)[/tex]

From the Z - tables;

P(Z > 5000) = 1 - 0.9678

P(Z > 5000) = 0.0322

B)

Let Y be the random variable that obeys the Binomial distribution.

Y represents the numbers of weeks in the next 3 weeks where the gross weekly sales exceed $2000

Thus;

[tex]Y \sim Bin(3,p)[/tex]

where;

[tex]p = 1 - P( Z < \dfrac{2000-2200}{230})[/tex]

[tex]p = 1 - P( Z < \dfrac{-200}{230})[/tex]

p = 1 - P( Z < - 0.869565)

From the Z - tables;

p = 1 - 0.1924

p = 0.8076

Now;

P(Y ≥ 2) = P(Y = 2) + P( Y =3 )

Using the formula

[tex]P(X = r ) = ^nC_r \times p^r \times q ^{n-r}[/tex]

[tex]P( Y = 2 \ or \ 3) =^ 3C_2 \times 0.8076^2 \times ( 1- 0.8076) ^ {3-2} + ^ 3C_3 \times 0.8076^3 \times ( 1- 0.8076) ^ {3-3}[/tex]

[tex]P( Y = 2 \ or \ 3) =\dfrac{3!}{2!(3-2)!} \times 0.8076^2 \times ( 0.1924) ^ 1 + \dfrac{3!}{3!(3-3)!}\times 0.8076^3 \times ( 0.1924) ^ {0}[/tex]

[tex]P( Y = 2 \ or \ 3) =0.3764600911 +0.526731063[/tex]

P( Y = 2 or 3) = 0.9031911541

P( Y = 2 or 3) ≅  0.9032

Answer:

I’m sorry but I don’t understand the question

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

the difference between 85 and 72 is 13. 13 is 18% of 72.

BE? I don't really know lol

Answer:

0

Step-by-step explanation:

Without solving anything, we can tell that the line that crosses these points is a horizontal line because both of the y-coordinates are the same. This tells us that the slope of the line is 0.

To prove this, we can find the slope of the line by plugging the two points,[tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex],  into the equation [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].

[tex]\frac{y_2-y_1}{x_2-x_1}\\\frac{5-5}{-17-(-9)}\\= \frac{0}{-17+9)}\\= \frac{0}{-8}\\= 0[/tex]

Therefore, the slope of the line that passes through the points (-9,5) and (-17,5) is 0.

I hope this helps!

Answer:

im answering for points

Step-by-step explanation:

sorry people who wanna answer

To show the negative of a square root, a negative sign would have to be placed outside the radical.

Answer:

Step-by-step explanation:

Because √-1 is an imaginary number √-1=i

They are imaginary because there are no same real numbers multiplyed that gives you a negative number

√4 = √2*2 ( +2*+2 =+4)

√4 = √-2*-2 (-2*-2 =+4)

√-1 = √? *? ( what same numbers multiplied gives you negative?...an imaginary one)

Answer:

Draw an arrow from the origin to (4, 0)

Step-by-step explanation:

u-v+w

= <-3, -4> - <-4, -1> + <3, 3>              

= <4, 0>

We want to perform a sum of vectors and draw the resultant vector. The resultant vector will be <4, 0> and its graph can be seen at the end.

If we see the image, we can write the vectors as:

Now we want to sum:

u - v + w

Remember that in the sum of the vectors we just add (subtract) the correspondent components, then we will have:

u - v + w = <-3, -4> - <-4, -1> + <3, 3> = <-3 + 4 + 3, -4 + 1 + 3> = <4, 0>

The graph of the resultant vector can be seen below.

If you want to learn more, you can read:

https://brainly.com/question/13291928

Answer:

The largest advertisement she can afford has dimensions of 5 in x 10/3 in

Step-by-step explanation:

Assume the dimensions of the advertisement are L and W.

The area of the advertisement is:

A = L.W

The ratio length/width is 3:2, thus the proportion is:

[tex]\displaystyle \frac{L}{W}=\frac{3}{2}[/tex]

Thus:

[tex]\displaystyle L=\frac{3}{2}W[/tex]

The area is:

[tex]\displaystyle A=\frac{3}{2}W^2[/tex]

Since the square inch of advertisement space sells for $3, the cost for Anna to purchase it is:

[tex]\displaystyle C=3\cdot\frac{3}{2}W^2[/tex]

Simplifying:

[tex]\displaystyle C=\frac{9}{2}W^2[/tex]

This cost can be a maximum of $50, thus:

[tex]\displaystyle \frac{9}{2}W^2=50[/tex]

Multiplying by 2:

[tex]9W^2=100[/tex]

Solving for W:

[tex]\displaystyle W=\sqrt{\frac{100}{9}}=\frac{10}{3}[/tex]

[tex]\displaystyle W=\frac{10}{3}[/tex]

And

[tex]\displaystyle L=\frac{3}{2}\cdot \frac{10}{3}[/tex]

L = 5

Thus the largest advertisement she can afford has dimensions of 5 in x 10/3 in

Answer:

Volume of sphere is 150.45 m³

Step-by-step explanation:

We are given:

Radius of sphere = 3.3 m (3-3 m can't be radius, It can be either 3 m or 3.3 m. I am considering 3.3 for solving)

We need to find Volume of sphere

The formula used is: [tex]Volume=\frac{4}{3}\pi r^3[/tex]

Putting values and finding volume

[tex]Volume=\frac{4}{3}\pi r^3\\Volume=\frac{4}{3}\times 3.14 \times (3.3)^3\\Volume=\frac{4}{3}\times 3.14 \times 35.937\\Volume=150.45\:m^3[/tex]

So, Volume of sphere is 150.45 m³

Answer:

Altitude - a segment drawn from the vertex perpendicular to the other side (also called the height).

Answer:

He can buy 4 books with 2 dollars remaining

Step-by-step explanation:

30/7 = 4 R2

Answer: 4 books.

Explanation: First you divide $30 by 7, and you get 4 and 2/7 (2/7 as the remainder) left over. So you can't have 4 and 2/7 books, it has to be a whole number.

Therefore, he can buy 4 books. I hope this helped!

Answer:

140

Step-by-step explanation:

Since 25% is 1/4 of 100, that means that 35 is 1/4 of the total amount of members in the club. So, 35 times 4 is 140.

Answer:

140

Step-by-step explanation:

hope this helps get a 100%