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3 years ago

Isla flipped a coin 30 times. The coin landed heads up 9 times and tails up 21 times.

Mathematics

1 answer:

Debora [2.8K]3 years ago

8 0

Answer:

both are equal

Step-by-step explanation:

there are two side tails and heads so there a 1/2 chance it will land on heads

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What's the trapezoidal lengths?

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Hi! I need help in this question, its solving for x, which should be easy.

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F(x)=x^2+9x-16 What is vertex Axis of semetry

UNO [17]

Answer:

axis of symmetry is $x=\frac{-9}{2}$ .

The ordered pair of the vertex is $(\frac{-9}{2},\frac{-145}{4})$ .

Step-by-step explanation:

Your function is a quadratic.

Compare $x^2+9x-16$ to $ax^2+bx+c$ .

You should see that $a=1,b=9,c=-16$ .

The x-coordinate of the vertex or the axis of symmetry since the axis symmetry goes through the vertex can be found by computing $\frac{-b}{2a}$ .

So here we go!

The axis of symmetry is $x=\frac{-9}{2(1)}=\frac{-9}{2}$ .

When you write your axis of symmetry be sure to write it as an equation.

That is the axis of symmetry is $x=\frac{-9}{2}$ .

Now that was also the x-coordinate of your vertex. To find the corresponding y-coordinate of the vertex, plug your value for $x$ into

$y=x^2+9x-16$ .

$y=(\frac{-9}{2})^2+9(\frac{-9}{2})-16$

Put into calculator:

$y=\frac{-145}{4}$ when $x=\frac{-9}{2}$

The ordered pair of the vertex is $(\frac{-9}{2},\frac{-145}{4})$ .

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4. James and Terry open a savings account that has a 2.75% annual interest rate, compounded monthly. They

Zinaida [17]

$ 159,744.59 will be in the account after 20 years.

Answer: Option A

Step-by-step explanation:

Need to find out the amount present in the account after 20 years. The formula to find out the future value is,

$\text {Future value}=p \times\left(\frac{\left(1+\frac{r}{n}\right)^{n t}-1}{\frac{r}{n}}\right)$

Here

p : amount deposit monthly =$500

r : rate of interest = $\frac{2.75}{100}$ = 0.0275

n : 12(compound monthly)

t : time =20

By substituting all the given datas in the above equation, we get

$\text { Future value }=500 \times\left(\frac{\left(1+\frac{0.0275}{12}\right)^{240}-1}{\frac{0.0275}{12}}\right)$

$\text {Future value}=500 \times\left(\frac{(1+0.002291)^{240}-1}{0.002291}\right)=500 \times\left(\frac{(1.732)-1}{0.002291}\right)$

$\text { Future value }=500 \times\left(\frac{0.732}{0.002291}\right)=500 \times 319.511=\$ 159,744.99$

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What number is one hundred thousand more than 75,000?

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