How many different pairs of marker can be formed if you have one yellow,one red ,one green ,one blue,and one purple marker?

Jacob's college savings are invested in a bond that pays an annual interest of 6.2% compounded continuously. How long will it ta

docker41 [41]

So you have some initial amount x and we want to know how long it will take with compound interest to triple our original amount x (so 3x). The equation sets up like 3x(the amount we want)= x(original amount) times 1.062(the interest increase)^t So 3x=x(1.062)^t where t is the amount of years. When you divide both sides by x it cancels out and you end up with 3=1.062^t. Take the natural log of both sides. Ln(3) = Ln(1.062^t) and the t being an exponent can come in front of the the natural log. Ln(3) = t(Ln(1.062)) Divide both sides by (Ln(1.062)),. Ln(3)/Ln(1.062)=t. And you should just plug that into a calculator to find t.

6 0

2 years ago

Vertical and horizontal line (1,-4)—do X=blank and Y=blank

Mila [183]

Answer:

x = 1 and y = - 4

Step-by-step explanation:

The equation of a vertical line is

x = c

where c is the value of the x- coordinates the line goes through.

Here the line passes through (1, - 4) with x- coordinate 1, thus

x = 1 ← equation of vertical line

The equation of a horizontal line is

y = c

where c is the value of the y- coordinates the line goes through.

Here the line passes through (1, - 4) with y- coordinate - 4, thus

y = - 4 ← equation of horizontal line

5 0

3 years ago

Clinical trials involved treating flu symptoms with a new medicine. Among 724 patients treated

schepotkina [342]

According to the null hypothesis, the test statistic of the proportion is of z = 120.1.

<h3>What is the null hypothesis?</h3>

The claim is that the rate of nausea is greater than the 6% rate experienced by flu patients given a placebo. At the null hypothesis, we consider the claim as false, hence the null hypothesis is:

$H_0: p \leq 0.06$