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4 years ago

Please Help, I don't understand D:

Mathematics

1 answer:

andriy [413]4 years ago

3 0

We can use the subtraction method to solve this:

3x - 5 ≥ 4

x + 1 ≥ 2

2x - 6 ≥ 2

2x ≥ 8

The solution set is x ≥ 4

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Can someone help me with this question?

belka [17]

Answer:

The required probability is 0.0155.

Step-by-step explanation:

We are given that the one-year survival rate for pancreatic cancer is 20%.

Of 12 people diagnosed with pancreatic cancer at one hospital, 6 survived one year.

The above situation can be represented through binomial distribution;

$P(X=r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r} ; x = 0,1,2,3,......$

where, n = number of trials (samples) taken = 12 people

r = number of success = 6 survived

p = probability of success which in our question is probability of

one-year survival rate for pancreatic cancer, i.e; p = 20%

Let X = Number of people survived one year

So, X ~ Binom(n = 12 , p = 0.20)

Now, the probability that 6 survived one year is given by = P(X = 6)

P(X = 6) = $\binom{12}{6} \times 0.20^{6} \times (1-0.20)^{12-6}$

= $924 \times 0.20^{6} \times 0.80^{6}$

= 0.0155

5 0

4 years ago

Craig started the summer with 10 freckles. The number of freckles, F, has doubled each week, W, since summer began. Which equati

mixer [17]

Answer:

The answer to your question is letter D

Step-by-step explanation:

Letter A. It is not possible because it is necessary to considers the variable (number of weeks)and this option does not consider it.

Letter B. It is not possible besides it consider the number of weeks the results do not correspond with the conditions given.

Example: for week 1, the number of freckles is 10 + 2¹ = 10 + 2 = 12, and the number of freckles must be 20.

Letter C. It is incorrect because the numbers of freckles do not correspond with the conditions.

Example: week 2 f = 2(10) ² = 2(100) = 200, it is higher than the expected.

Letter D. This is the correct answer because it satisfied the conditions given.

4 0

3 years ago

Read 2 more answers

A Bernoulli differential equation is one of the form dxdy+P(x)y=Q(x)yn Observe that, if n=0 or 1, the Bernoulli equation is line

aleksandr82 [10.1K]

It's unclear whether the ODE is

$xy'+y=4xy^2$

$xy+y'=4xy^2$

If the first case, then divide through both sides by $y^2$ to get

$xy^{-2}y'+y^{-1}=4x$

then substitute $z=y^{-1}$ , so that $z'=-y^{-2}y'$ . Then

$-xz'+z=4x\implies-\dfrac1xz'+\dfrac1{x^2}z=\left(-\dfrac1xz\right)'=\dfrac4x$

$\implies-\dfrac1xz=\displaystyle\int\frac4x\,\mathrm dx$

$\implies z=-4x\ln|x|+Cx$

$\implies\boxed{y=\dfrac1{Cx-4x\ln|x|}}$

If the second, then dividing through by $y^2$ gives

$xy^{-1}+y^{-2}y'=4x$

The same substitution as before gives

$xz-z'=4x\implies e^{-x^2/2}z'-xe^{-x^2/2}z=\left(e^{-x^2/2}z\right)'=-4xe^{-x^2/2}$

$\implies e^{-x^2/2}z=\displaystyle-4\int xe^{-x^2/2}\,\mathrm dx$

$\implies z=4+Ce^{x^2/2}$

$\implies\boxed{y=\dfrac1{4+Ce^{x^2/2}}}$

5 0

3 years ago

7) A patient received 4 units of packed red blood cells postoperatively. The first

Vlad [161]

Answer:

812

Step-by-step explanation:

add the units mL's together

4 0

3 years ago

The length of a classroom is 34 feet what is this measurent in yards and feet

bija089 [108]

3 feet are in a yard, so divide 34 by 3.

You will get 12 with a remainder of 1. So your final answer is 12 yards, 1 foot.

4 0

3 years ago

Read 2 more answers