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2 years ago

In Mrs. Wison's math dass, the ratio of girls

Mathematics

1 answer:

Tom [10]2 years ago

5 0

Answer:

G= Number of girls

T= total No. of kids

B = No. of boys

B = T - G

Given G/T = 5/8 = G/ ( B + G) = G/ 24

or G = 5*24/8 =15

No. of girls = 15

No. of Boys = 9

Step-by-step explanation:

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Given the function f(x)=x^2+7x+6f(x)=x

Sonbull [250]

The average rate of change of the function f( x ) = x² + 7x + 6 at the interval of −4 ≤ x ≤ −1 is 2

<h3>What is the average rate of change the function?</h3>

The average rate of change the function is simply the change in y-values of the two points divided by the change in x-values of the two points.

It is expressed as;

Given the data in the question;

f( x ) = x² + 7x + 6
Interval: −4 ≤ x ≤ −1 ⇒ [-4.-1]

Average rate of change = ( f(-1) - f(-4) ) / ( (-1) - (-4) )

Average rate of change = ( (-1)² + 7(-1) + 6 ) - ( (-4)² + 7(-4) + 6 ) ) / ( (-1) - (-4) )

Average rate of change = ( (1 + -7 + 6 ) - ( 16 - 28 + 6 ) ) / (-1 + 4 )

Average rate of change = ( ( 0 ) - ( -6 ) ) / (-1 + 4 )

Average rate of change = ( 0 + 6 ) / ( 3 )

Average rate of change = 6 / 3

Average rate of change = 2

Therefore, the average rate of change of the function is 2.

Learn more about average rate of change here: brainly.com/question/28744270

#SPJ1

8 0

1 year ago

Given a sample space, and events A and B, where P(A)= 0.5 and P(B)=0.5. Which of the following values for P(A and B) are not pos

user100 [1]

Option a, option b, option c, option d are not possible values for P(A ∩ B)

Solution:

Given A and B are independent events.

P(A) = 0.5 and P(B) = 0.5

To find which of the following values for P(A and B) are not possible.

P(A and B) = P(A ∩ B)

P(A ∩ B) = P(A) × P(B)

= 0.5 × 0.5

P(A ∩ B) = 0.25

Option a: All are possible.

All answers are not possible for two independent events.

Option b: 0.35

We found that P(A and B) is 0.25.

So, 0.35 is not possible value.

Option c: 0.5

We found that P(A and B) is 0.25.

So, 0.5 is not possible value.

Option d: 0

We found that P(A and B) is 0.25.

So, 0 is not possible value.

Option e: 0.25

We found that P(A and B) is 0.25.

So, 0.25 is the possible value.

Hence, 0.35, 0.5, 0 are not possible values.

4 0

3 years ago

Which sequence matches the recursive formula? an=2an-1+5, where a1=5. A) 5,10,15,20 B) 5,15,35,75. C)5,15,25,35. D) 5,20,35,40

Dominik [7]

The recursive formula

$a_n = 2a_{n-1}+5$

means that, to compute the next value, you have to double the previous one and then add 5.

So, we start with 5. To get the second term, we double it and add five, so we have

$a_2 = 2\cdot 5+5 = 10+5 = 15$

Next, we will double 15 and add 5:

$a_3 = 2\cdot 15 + 5 = 30+5 = 35$

So, the answer is B, because it's the only option starting with 5,15,35.

Just to check, let's compute the last step:

$a_4 = 2\cdot 35 + 5 = 70+5 = 75$

Which confirms option B

6 0

3 years ago

Solve the triangle.

Angelina_Jolie [31]

Using the sine law of triangles to solve for angle C:

b / sin B = c / sin C

C = arcsin (c * sin B / b)
C = 30.7<span>°

Since interior angles of a triangle always add up to 180</span><span>°, we can use this to solve for angle A:

angle A = 180</span>° - 73° - 30.7<span>°
angle A = 76.3</span><span>°

Having solved for angle A, we can solve for side a using the sine law.

a / sin A = b / sin B

a = b * sin A / sin B
a = 15.2

Therefore, the correct answer is B.</span>

3 0

2 years ago

How to solve this problem

labwork [276]

Answer:

Step-by-step explanation:

the symbol "ㅠ" is pie, which is 3.142

3.142 x 2=6.284

6.284 ÷ 3=2.09466666667

2.09466666667 can be rounded up to 2.15

3 0

2 years ago