5) In a classroom, the ratio of boys to girls is 6:7. Select all possible statements that must be true about the classroom. a) There are exactly 6 boys. b) There is exactly 1 more girl than boy. c) The ratio of girls to total students is 7:13. d) The ratio of total students to boys is 13:6. e) The total number of students is a multiple of 13.
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Answer:

They are not independent

Step-by-step explanation:

Given

E = Occurrence of 1 on first die

F = Sum of the uppermost occurrence in both die is 5

Required

Are E and F independent

First, we need to list the sample space of a roll of a die

[tex]Event\ 1 = \{1,2,3,4,5,6\}[/tex]

Next, we list out the sample space of F

[tex]Event\ 2 = \{2,3,4,5,6,7,3,4,5,6,7,8,4,5,\[/tex]

[tex]6,7,8,9,5,6,7,8,9,10,6,7,8,9,10,11,7,8,9,10,11,12\}[/tex]

In (1): the sample space of E is:

[tex]E = \{1\}[/tex]

So:

[tex]P(E) = \frac{n(E)}{n(Event\ 1)}[/tex]

[tex]P(E) = \frac{1}{6}[/tex]

In (2): the sample space of F is:

[tex]F = \{5,5,5,5\}[/tex]

So:

[tex]P(F) = \frac{n(F)}{n(Event\ 2)}[/tex]

[tex]P(F) =\frac{4}{36}[/tex]

[tex]P(F) =\frac{1}{9}[/tex]

For E and F to be independent:

[tex]P(E\ and\ F) = P(E) * P(F)[/tex]

Substitute values for P(E) and P(F)

This gives:

[tex]P(E\ and\ F) = \frac{1}{6} * \frac{1}{9}[/tex]

[tex]P(E\ and\ F) = \frac{1}{54}[/tex]

However, the actual value of P(E and F) is 0.

This is so because [tex]E = \{1\}[/tex] and [tex]F = \{5,5,5,5\}[/tex] have 0 common elements:

So:

[tex]P(E\ and\ F) = 0[/tex]

Compare [tex]P(E\ and\ F) = \frac{1}{54}[/tex] and [tex]P(E\ and\ F) = 0[/tex].

These values are not equal.

Hence: the two events are not independent

Answer:

D) 39

Step-by-step explanation:

The numbers, put in order, are:

30 32 32 36 42 43 44 45

The median (middle) is between 36 and 42.

39 is halfway between 36 and 42.

Answer:

the answer is

D) 39

Step-by-step explanation:

Answer:

B. ( X = 3 )

Step-by-step explanation:

it's correct edmentum/plato

Answer:

d = 2/27

Remember that when a variable is times with a number you divide the number on both sides.

When a variable is divided by a number, you multiply the number on both sides.

Hope this helps you and thank you !!

Answer:

1. 37

2. 50

3. 50

4. 40

Step-by-step explanation:

hope I helped!!

Answer:

sorry

Step-by-step explanation:

sana i review mo beh ng maayos..hehe wag puro tanong cge keep safe..

Answer:

B and H.

Step-by-step explanation:

By the triangle inequality, any two sides of a triangle must be greater than the remaining side.

Triangle 1)

The side lengths are 9, 40, and 41.

We only need to check the two smaller sides. 9 + 40 = 49 which is indeed greater than 41. Therefore, this is indeed a triangle.

Remember that if:

[tex]c^2=a^2+b^2[/tex]

We have a right triangle.

[tex]c^2>a^2+b^2[/tex]

We have an obtuse triangle.

And if:

[tex]c^2<a^2+b^2[/tex]

We have an acute triangle.

In all of these, c is the longest side.

Therefore, we will substitute 41 for c and 9 and 40 for the others:

[tex]41^2\text{ }?\text{ }40^2+9^2[/tex]

Evaluate:

[tex]1681=1681[/tex]

Since the two values are equivalent, the first triangle is a right triangle.

Triangle 2)

Again, adding up the two smaller sides gives that 8 + 10 = 18.

However, 18 is less than 21, so it does not satisfy the triangle inequality.

Therefore, the given side lengths cannot form a triangle.

Answer:

Step-by-step explanation:

lets assume that the month has 4 weeks

12h/week with 9 dollars/hour

week=12*9=108

108+15=123

123*4 weeks=492 dollars month total income

Answer:

492

Step-by-step explanation:

9*12=108. I used January for this. there 4 weeks in it. so !08*4+15*4=492

Answer:

cool

Step-by-step explanation:

Hello there!

Area = Length * Width

Area = [tex]\frac{5}{8} * \frac{4}{9}[/tex]

Area = [tex]\frac{5}{18}[/tex]

Thanks!

~Garebear

Answer:

SSS: LM = AB and MN = AC

HL: AC = MN

Step-by-step explanation:

✔️Information that is necessary to prove that both triangles are congruent by SSS are:

LM = AB

MN = AC

This will is because all three corresponding sides must be congruent to each other to satisfy the SSS Congruence criterion.

✔️Information necessary to prove that the triangles are congruent by HL:

We already know that one of the corresponding legs are congruent to each either. The additional information necessary to satisfy the HL Congruence criterion is to know the hypotenuse length of each which must be congruent to each other. This, information necessary would be:

AC = MN

Answer:

1:3

Step-by-step explanation:

but thats not and answer

Answer:$75

Step-by-step explanation:

Brhe

Answer:

5:2

Step-by-step explanation:

Answer:

¼

Step-by-step explanation:

Solution,

Total quantity=½ gallon

Each friends quantity=½/2

=¼ gallon

Answer:

2 feet

Step-by-step explanation:

Answer:

Step-by-step explanation:

20.00+ 11.00=31.00

31x24=744

ps u did not put how manny hours so my answer cant be correct

Answer:

.038++++9675756-:-

Step-by-step explanation:

5582989(888888

The number 0.405 is greater than the number 0.045.

What is Decimal number?

A decimal number is a number that consists of a whole and a fractional part.

Given that;

The numbers are,

⇒ 0.045 and 0.405

Now,

In the numbers,

⇒ 0.045 and 0.405

The place value 4 in the number 0.045 = 4/100

And, The place value 4 in the number 0.450 = 4/10

Thus, The number 0.405 is greater than the number 0.045.

Learn more about the decimal number visit:

https://brainly.com/question/24342270

#SPJ2

Answer:

x=-7/160

Step-by-step explanation:

Answer:

y= 3x - 5

Step-by-step explanation:

y= mx+b is slope-intercept form,

m= slope (3)

b= y-intercept (5)

Therefore, y = 3x - 5 is your form.

If you wanted to calculate it, you'd input the x value of 3, like y = 3^3 - 5 to find your slope intercept.

Answer:

$9.75

Step-by-step explanation:

This problem requires division. All factors are already provided in the problem, so all you have to do to solve this is divide 204.75/21, and get your answer! Hope this helps :)

Answer:

40 + 25m

40 + 25(5) = $165 after 5 months

Step-by-step explanation:

40 + 25m

40 + 25(5) = $165

Answer:

A triangle has 3 sides so if it has to  add up all the sides it will be 6 and if u r mine-sing it will be 3 so i think the answer is 3

Step-by-step explanation:

and that is my answer to the problem se ya

Answer:

G

Step-by-step explanation:

Answer:$12,800

Step-by-step explanation:

Add 400 to every n in the equation, I’ll be using y for the “p(n)” part cus it always confuses me like that.

Y=52(400)-0.05 x 400^2

=20,800 - 0.05 x 160,000

=20,800 - 8,000

=12,800

Answer:

312

Step-by-step explanation:

We can calculate by dividing it into 2 parts. The first part has length of 6, width of 4 and height of 2, so volume of this part is 48. Similarly, we can calculate that the volume of the second part is 264. Hence, the total volume is 312.

Answer:

Volume of the figure= 312 yd²

Step-by-step explanation:

Okay let's split this figure up into two different rectangles. Let's draw the line at the part of the rectangle that is nearest us (looking at the picture). The little part where it says 6 yd. and 4 yd.

We know volume is V= lwh

Start with the main rectangle (bigger one)

I see l=12, w=11, and h=2

So V(of main rectangle)=12x11x2

V(of main rectangle)=264

We have to go do the smaller rectangle now

I see l=4, w=6, but I know the h=2 because the height is the same as the main triangle.

So V(of smaller rectangle)=6x4x2

V(of smaller rectangle)=48

Now knowing the volume of the main and smaller rectangle, we have to add them to find the volume of the figure.

V(of smaller rectangle) + V(of main rectangle)

264 + 48

Volume of the figure= 312 yd²