The Students' Conjectures: You and Uyen are writing a grant proposal for $50,000 to

In a class there are 15 boys and 15 girls 5/6 of the children have brown hair if someone is chosen at random what is the probabi

Cloud [144]

Probability someone chosen at random will not have brown hair = 1/6

<h3>Probability of two variables</h3>

The number of girls = 15

The number of boys = 15

The total number of children = 15 + 15 = 30

Probability that someone chosen at random will have a brown hair, P(Brown hair) = 5/6

P(Brown hair) + P(Not Brown hair) = 1

5/6 + P(Not brown hair) = 1

P(not brown hair) = 1 - 5/6

P(not brown hair) = 1/6

Therefore, if someone is chosen at random, probability that they will not have brown hair = 1/6

Learn more on probability here: brainly.com/question/27899440

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6 0

2 years ago

Find the measure of the missing angle.

melamori03 [73]

Answer:

It's 155

Step-by-step explanation:

Since the whole angle is 180

And u got 25

So 180-25=155

4 0

3 years ago

Read 2 more answers

I need help please this due tomorrow

OLEGan [10]

What do you need help with on your homework. You need all the answers?

My friend. I am a teacher at a middle school

8 0

3 years ago

Write an equation for the line (4,7) and ( 1,1)2. Write an equation for the graph

Nastasia [14]

ANSWER:

$y=2x-1$

STEP-BY-STEP EXPLANATION:

We have that the equation in its slope-intercept form is the following:

$\begin{gathered} y=mx+b \\ m\text{ is the slope and b is the y-intercept } \end{gathered}$

The slope can be calculated as follows:

$m=\frac{y_2-y_1}{x_2-x_1}$

We use the points (4,7) and (1,1) to calculate the slope:

$m=\frac{1-7}{1-4}=\frac{-6}{-3}=2$

Now, we calculate the value of b, using the point (1,1) and the slope, like this:

$\begin{gathered} 1=1\cdot2+b \\ b=-2+1 \\ b=-1 \end{gathered}$

Therefore, the equation would be:

$y=2x-1$

5 0

1 year ago

The price of products may increase due to inflation and decrease due to depreciation. Marco is studying the change in the price

likoan [24]

Answer:

A) 3%

B) Product A

Step-by-step explanation:

Exponential Function

General form of an exponential function: $y=ab^x$

where:

a is the initial value (y-intercept)
b is the base (growth/decay factor) in decimal form
x is the independent variable
y is the dependent variable

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

Part A

Product A

Assuming the function for Product A is exponential:

$f(x) = 0.69(1.03)^x$

The base (b) is 1.03. As b > 1 then it is an increasing function.

To calculate the percentage increase/decrease, subtract 1 from the base:

⇒ 1.03 - 1 = 0.03 = 3%

Therefore, product A is increasing by 3% each year.

Part B

$\sf percentage\:change=\dfrac{final\:value-initial\:value}{initial\:value} \times 100$

To calculate the percentage change in Product B, use the percentage change formula with two consecutive values of f(t) from the given table:

$\implies \sf percentage\:change=\dfrac{10201-10100}{10100}\times 100=1\%$

Check using different two consecutive values of f(t):

$\implies \sf percentage\:change=\dfrac{10303.01-10201}{10201}\times 100=1\%$

Therefore, as 3% > 1%, Product A recorded a greater percentage change in price over the previous year.

Although the question has not asked, we can use the given information to easily create an exponential function for Product B.

Given:

a = 10,100
b = 1.01
n = t - 1 (as the initial value is for t = 1 not t = 0)

$\implies f(t) = 10100(1.01)^{t-1}$

To check this, substitute the values of t for 1 through 4 into the found function:

$\implies f(1) = 10100(1.01)^{1-1}=10100$

$\implies f(2) = 10100(1.01)^{2-1}=10201$

$\implies f(3) = 10100(1.01)^{3-1}=10303.01$

$\implies f(4) = 10100(1.01)^{4-1}=10406.04$

As these values match the values in the given table, this confirms that the found function for Product B is correct and that Product B increases by 1% per year.

4 0

2 years ago