The names of 9 boys and 2 girls in a hat. What is the probability of first drawing a girls name then a boys name from the hat?

Answers

Answer 1

Answer: A - drawing a girls name at first
P(A) = 2/(2+9) = 2/11
B - drawing a boys name in second drawing if first drawing was a girls name
P(B) = 9/10
C - drawing a girls name firstly and a boys name secondly
P(C) = P(A) * P(B) = 2/11 * 9/10 = 9/55
ans: 9/55

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Fill in the missing number in this sequence nine sixteen twenty five forty nine

What is the mode of the data set?
23 95 100 23 100 100

Answers

Go to the second pic for your answer. I got problem 4 wrong but it shows the correct answer.

The mode would be 100

Three times a number (n) is 36 less than five times the number (n). What is the number?

Answers

i am doing it on edg 2020 now

Final answer:

The number in question is found using simple algebra to setup and solve the equation given in the problem. The solution is n = 18.

Explanation:

The question is about finding a number (n), such that three times the number (n) is 36 less than five times the number (n). This can be solved using simple algebra.

Firstly, we setup the algebraic equation according to the problem:
3n = 5n - 36

To solve the equation, you subtract 3n from both sides to bring all n on one side:
5n - 3n = 36
Which simplifies to:
2n = 36

Now you solve for n by dividing both sides by 2:
n = 36 / 2
The result is n = 18. So, the number in question is 18.

Learn more about Simple Algebra here:

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Jennifer cut a board 2 m long into two pieces. one piece is 24 m shorter than the other. find the length of each piece.. Piz help me!!!!!!!!!!!

Answers

If its 24cm then this is the answer:
If its 24cm then the answer is:

2 m = 200 cm cut into 2 pieces of length x and y
x + y = 200
but 1 piece is 24 cm shorter than the other

i.e. x = y -24 substitute this into the above equation you get

y - 24 + y = 200
2y = 224
y = 112
x = y - 24
x = 112 - 24
x = 88

So 2 pieces are 88 cm and 112 cm in length

To check its correct 112 + 88 = 200 cm = 2m
And 112 - 88 = 24 cm

Write the expression as either the sine, cosine, or tangent of a single angle. sin(pi/2)cos(pi/7)+cos(pi/2)sin(pi/7)

Answers

I will use the sin (a + b) identity:
sin (a + b) = sina cosb + cosa sinb and
here a = π/2 and b = π/7

so sin (π/2 + π/7)
= sin (9π / 14)

Answer:

$\text{sin}((9\pi)/(14))$ .

Step-by-step explanation:

We have been given a trigonometric expression $\text{sin}((\pi)/(2))\text{cos}((\pi)/(7))+\text{cos}((\pi)/(2))\text{sin}((\pi)/(7))$ . We are asked to write our given expression as either the sine, cosine, or tangent of a single angle.

Using identity $\text{sin}(a)\text{cos}(b)+\text{cos}(a)\text{sin}(b)=\text{sin}(a+b)$ , we can rewrite our given expression.

Let $a=(\pi)/(2)$ and $b=(\pi)/(7)$ .

Upon substituting these values in above identity, we will get:

$\text{sin}((\pi)/(2))\text{cos}((\pi)/(7))+\text{cos}((\pi)/(2))\text{sin}((\pi)/(7))=\text{sin}((\pi)/(2)+(\pi)/(7))$

Upon simplifying right side of our equation, we will get:

$\text{sin}((\pi)/(2)+(\pi)/(7))=\text{sin}((\pi*7)/(2*7)+(\pi*2)/(7*2))$

$\text{sin}((\pi)/(2)+(\pi)/(7))=\text{sin}((7\pi)/(14)+(2\pi)/(14))$

$\text{sin}((\pi)/(2)+(\pi)/(7))=\text{sin}((7\pi+2\pi)/(14))$

$\text{sin}((\pi)/(2)+(\pi)/(7))=\text{sin}((9\pi)/(14))$

Therefore, our required expression would be $\text{sin}((9\pi)/(14))$ .

The pair of points( 6 ,y) and (10, -1) lie on a line with slope 1/4. What is the value of y?

Answers

We know that general formula for the line is y=ax+b, we know that a=1/2. To get b we can subsittute x=10 and y=-1 (from the second point)
-1=1/2*10+b
-1=5+b /-5
-6=b
We know that our line is y=1/2x-6
Now we can substitute x=6 (from first point) and find value of y
y=1/2*6-6
y=3-6
y=-3 - its the answer

Use the coordinate plane, the figure below, coordinate proof strategies, and the lengths and slopes of PM and GR to verify this theorem: Given: QUAD is a quadrilateral. P, G, R, M are the midpoints of the sides QU, UA, AD, and DQ respectively. Prove: The polygon formed by joining adjacent midpoints of a quadrilateral is a parallelogram.

Answers

The "respectively" part is removed so what is the question

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