idk how to do this..............

Answer:

a)4.15 years

b)22.18 years

c)188.53 years

d)3027.66 years

Step-by-step explanation:

Formula : [tex]P(X\leq t)=1-e^{\frac{-t}{\lambda}}[/tex]

So, [tex]P(X>t)=1-(1-e^{\frac{-t}{\lambda}})[/tex]

[tex]P(X>t)=e^{\frac{-t}{\lambda}}[/tex]

We are given that The half-life of such a persistent poison is that time beyond which the probability is .50 that a particular molecule will remain toxic i.e. P(X>t)=0.5

So, [tex]e^{\frac{-t}{\lambda}}=0.5[/tex]

Taking natural log both sides

[tex]ln(e^{\frac{-t}{\lambda}})=ln(0.5)\\\frac{-t}{\lambda}=ln(0.5)\\t=-\lambda ln(0.5)[/tex]

a)

[tex]\lambda =6[/tex]

t=-(6) ln(0.5)=4.15 years

b)

[tex]\lambda =32[/tex]

t=-(32) ln(0.5)=22.18 years

c)

[tex]\lambda =272[/tex]

t=-(272) ln(0.5)=188.53 years

d)

[tex]\lambda =4368[/tex]

t=-(4368) ln(0.5)=3027.66 years

Answer:

23.5 weeks.

Step-by-step explanation:

470/20 is 23.5

Answer:

23.5 weeks or 24 weeks

Step-by-step explanation:

470/20 = 23.5

If you are not rounding to the next week, then its 23.5.

If you are rounding to the next week, then it should be 24.

Answer:

12

Step-by-step explanation:

Answer:

Your answer is:

1) 0.75  *  2

2) 0.3  *  5

Step-by-step explanation:

Hope any of these helped you : )

Answer:4818

Step-by-step explanation:7785-12603=4818

Answer: When you graph it, put a dot on 3, and then count down 7 spaces, and 2 spaces to the right, put a dot there. Use a straight edge to draw a line through the two dots, that continues on the graph. You can continue to got down 7, over 2 if needed.

Step-by-step explanation:

Answer:

0?

Step-by-step explanation:

Answer:

um i dunna

Step-by-step explanation:

uuuuhhghhhh

9515 1404 393

Answer:

Step-by-step explanation:

1. The system is represented by the matrix that has the coefficients in the left three columns and the constants in the rightmost column. Values and signs must match. Only Option 4 makes any sense in this context.

__

2. In the first equation, the y-term has a coefficient of 0. (There is no y-term.) The only matrix choice with a coefficient of 0 in the second column of the first row is Option 1.

__

3. Parallel lines do not intersect, so there can be no solution.

Answer:

estimate - 400

product - 385

Step-by-step explanation:

estimate - 77 rounds up to 80

80*5=400

product - 70*5=350

7*5=35

350+35=385

Answer:

The estimate is 390 while the real product is 385

Answer:

mDF = 18

Step-by-step explanation:

DE and EF must add up to DF.

Step 1: Set up equation

mDE + mEF = mDF

x + 7 + 7 = 4x + 2

Step 2: Solve for x

Step 3: Find mDF

mDF = 4x + 2

mDF = 4(4) + 2

mDF = 16 + 2

mDF = 18

Using the combination formula, it is found that the probability that you, Charles, Margaret, and Sean are chosen is:

[tex]p = \frac{1}{495}[/tex].

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, 4 people will be chosen from a set of 12, hence the number of ways to choose them is:

[tex]C_{12,4} = \frac{12!}{4!8!} = 495[/tex]

The desired combination is only one, hence the probability is:

[tex]p = \frac{1}{495}[/tex].

More can be learned about the combination formula at https://brainly.com/question/25821700

#SPJ1

Step-by-step explanation:

Using vertex form of a parabola:

y = a (x − h)² + k

where (h, k) is the vertex.

If we say the vertex is (0, 80), then:

y = a (x − 0)² + 80

y = ax² + 80

The roots of the parabola are (-60, 0) and (60, 0).  If we plug this in:

0 = a (60)² + 80

-80 = 3600a

a = -1/45

Noemi's team's answer is incorrect.

Answer:

The answer to your question is:

2 and -49

Step-by-step explanation:

2 x -49 = -98

2 + (-49) = -47

x2 - 47x - 98 = 0

The solution to factor the quadratic equation above is:

(X + 2 ) (X - 49)

Since 2 and -49 multiply to -98 and add up -47, you know that the following is true:

x2 - 47x - 98 = (X + 2 ) (X - 49)

Answer:

f(g)x))= x^2 -6x +4

Step-by-step explanation:

first, plug in g(x) into f(x): f(g)x)) =(x-3)^2 -5

then, you simplify the (x-3)^2 into (x-3)(x-3): f(g)x))= (x-3)(x-3) -5

when you distribute the two (x-3) you end up with: f(g)x))= x^2 -6x +9 -5

finally, you combine like terms and subtract 5 from 9 and your final answer is : f(g)x))= x^2 -6x +4

note: x^2 is x squared or exponent of 2

Answer:

b.)  (6,7)

Step-by-step explanation:

the figure is translated 2 units to the left

Answer:

The two in the middle are the negatives and the two that are on the sides are positive.

Answer:

-8

Step-by-step explanation:

First, write it out in standard form:

2 x (-4)

Then multiply!

Answer:

-8

Step-by-step explanation:

it is basically 2 x -4 and a negative times a positive is a negative which makes it -8

Answer:

1 box of paper will cost $7.25.

Step-by-step explanation:

14.50 divided by 2 is 7.25, therefore one box of paper will be 7.25

Answer:

203 + 178 = 381

Step-by-step explanation:

Answer:

381

Step-by-step explanation:

i added

203

+178

381

NB: NOT HOW I WANTED IT TO TURN OUT

SORRY IF IT'S WRONG

Answer:

Step-by-step explanation:

180-110+70

Answer:

Step-by-step explanation:

3m + 7 = - 23

we pass the -7 to the right with a positive sign

3m = -23 - 7

we perform the sum of negative numbers

3m = -30

we pass the -3 to the right to divide

m = -30/3

we perform the division

m = -10

The value of measure ∠RQS would be,

⇒ ∠RQS = 48°

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

A ray QT bisects ∠PQR.

Now, We get;

⇒ ∠PQR + ∠RQS = 180°

⇒ (3x - 6) + (x + 2) = 180

⇒ 4x - 4 = 180

⇒ 4x = 184

⇒ x = 46

Thus, The value of measure ∠RQS would be,

⇒ ∠RQS = x + 2 = 46 + 2 = 48°

Learn more about the angle visit:;

https://brainly.com/question/25716982

#SPJ7

Answer:

D.83.8 ounces

Step-by-step explanation:

The z score for 65th percentile = 0.385

Mean weight of 83 ounces with a standard deviation of 2 ounces

The formula for calculating a z-score is z = (x-μ)/σ

where x is the raw score

μ is the population mean

σ is the population standard deviation

x = ??

Hence:

0.385 = (x - 83)/2

Cross Multiply

0.385 × 2 = x - 83

0.77 = x - 83

x = 83 + 0.77

x = 83.77 ounces

Approximately = 83.8 ounces

Answer:

D.83.8 ounces

Step-by-step explanation:

The z score for 65th percentile = 0.385

Mean weight of 83 ounces with a standard deviation of 2 ounces

The formula for calculating a z-score is z = (x-μ)/σ

where x is the raw score

μ is the population mean

σ is the population standard deviation

x = ??

Hence:

0.385 = (x - 83)/2

Cross Multiply

0.385 × 2 = x - 83

0.77 = x - 83

x = 83 + 0.77

x = 83.77 ounces

Approximately = 83.8 ounces

Answer:

$69.375

Step-by-step explanation:

To find the total cost: you will add the actual cost of the rug, $64 and the additional shipping and handling cost, $5.375.

[tex]64 + 5.375 = 69.375[/tex]

The total cost of the rug, including shipping and handling is $69.375

Answer:

$69.38

Step-by-step explanation:

64 plus 5 is 69. Add 375 for 69.375. Round the decimal up to get $69.38

Answer:

It's 2000ft/h

Step-by-step explanation:

6000/3 = 1 hour rate

Answer:

The value is -6.

Step-by-step explanation:

First, you use subsitution.

4(3) - 3(6)

Then, you multiply.

12 - 18

Do the subtraction and you're left with -6 as your answer.

Answer:

The answer is C) 7^11