In the formula l=P•r•t, what does the P stand for?

Melanie began studying a sample of the chemical element einsteinium-253 which naturally loses its mass over time. The relationsh

mario62 [17]

Answer:

The chemical element loses 4% of its weight everyday

Step-by-step explanation:

Here, we are interested in knowing the percentage weight loss of the chemical each day.

The key to answering this is looking at the expression inside the bracket.

We can express M(t) = 169•(0.96)^t as

M(t) = 169•(1-0.04)^t

So what this means is that we need to find the percentage value corresponding to 0.04 since it is a constant term here

Mathematically, 0.04 is same as 4/100, so we can clearly say that the constant percentage loss is 4%

6 0

4 years ago

n a survey of 331 customers, 66 say that service is poor. You select two customers without replacement to get more information o

yaroslaw [1]

Answer:

3.93% probability that both say service is poor

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The customers are chosen without replacement, and the order in which they are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

What is the probability that both say service is poor?

Desired outcomes:

Two saying it is poor, from a set of 66. So

$D = C_{66,2} = \frac{66!}{2!(66-2)!} = 2145$

Total outcomes:

Two customers from a set of 331. So

$T = C_{331,2} = \frac{331!}{2!(331-2)!} = 54615$

Probability:

$p = \frac{D}{T} = \frac{2145}{54615} = 0.0393$

3.93% probability that both say service is poor

4 0

3 years ago

The diameter of a circle is 46 yards. What is the circle's circumference? d=46 yd Use 3.14 for n.

kolbaska11 [484]

Answer:

144.44 yards

Step-by-step explanation:

The formula to find circumference is: C = π · d

Since we already have most of the factors figured out, we just replace them with what we have.

C = 3.14 · 46 yrds

144.44 = 3.14 · 46

5 0

3 years ago

Last year, James earned £1,100 per month. This year, he's had a 4% increase in his monthly pay. He worked 40 hours per week for

avanturin [10]

Answer:

A = £7.15 per hour

James' average pay per hour this year is £7.15 per hour

Step-by-step explanation:

Given;

Last year pay = £1,100 per month

This year, he's had a 4% increase in his monthly pay

This year pay P = 1,100 + 4% of 1,100 = 1,100 +1,100(0.04)

This year pay P = £1,144 per month

Yearly pay Tp= 12 × P = 12 × £1,144 = £13,728

Number of hours worked this year;

He worked 40 hours per week for 48 weeks in the year

N = 40 hours per week × 48 weeks per year

N = 1920 hours per year

Average pay per hour this year A;

A = Yearly pay/Number of hours worked this year

A = Tp/N

A = £13,728/1920hours

A = £7.15 per hour

James' average pay per hour this year is £7.15 per hour

5 0

3 years ago

Slove for y . 3x+2y=-6

borishaifa [10]

Answer:

y = -(6+3x)/2

Step-by-step explanation:

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8 0

3 years ago