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3 years ago

11

sam has a jar that contains 6 blue marbles and 5 violet marbles. he randomly draws one marble and then draws another marble .Wha

t is the probability of drawing two violet marbles without replacement

1 answer:

zloy xaker [14]3 years ago

8 0

The probability of drawing a violet marble on the first draw is 5/11.
Having drawn violet on the first draw, there are now 4 violet marbles left and a total of 10 marbles. So, the probability of violet on the second draw is 4/10.
$P(2\ violet)=\frac{5}{11}\times \frac{4}{10}= \frac{2}{11}$

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Suppose that the derivable functions x=x(t) and y=y(t) satisfy xcosy=2.

ololo11 [35]

Applying implicit differentiation, it is found that dy/dt when y=π/4 is of:

a-) -√2 / 2.

<h3>What is implicit differentiation?</h3>

Implicit differentiation is when we find the derivative of a function relative to a variable that is not in the definition of the function.

In this problem, the function is:

xcos(y) = 2.

The derivative is relative to t, applying the product rule, as follows:

$\cos{y}\frac{dx}{dt} - x\sin{y}\frac{dy}{dt} = 0$

$\frac{dy}{dt} = \frac{\cos{y}\frac{dx}{dt}}{x\sin{y}}$

Since dx/dt=−2, we have that:

$\frac{dy}{dt} = -2\frac{\cos{y}}{x\sin{y}}$

When y = π/4, x is given by:

xcos(y) = 2.

$x = \frac{2}{\cos{\frac{\pi}{4}}} = \frac{2}{\frac{\sqrt{2}}{2}} = \frac{4}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = 2\sqrt{2}$

Hence:

$\frac{dy}{dt} = -2\frac{\cos{y}}{x\sin{y}}$

$\frac{dy}{dt} = -\frac{1}{\sqrt{2}}\cot{y}$

Since cot(pi/4) = 1, we have that:

$\frac{dy}{dt} = -\frac{1}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = -\frac{\sqrt{2}}{2}$

Which means that option a is correct.

More can be learned about implicit differentiation at brainly.com/question/25608353

#SPJ1

4 0

2 years ago

I need help with exercise b.

denpristay [2]

$\bf sin(-t)=\cfrac{5}{7}\implies -sin(t)=\cfrac{5}{7}\implies sin(t)=-\cfrac{5}{7}\\\\
-------------------------------\\\\
csc(t)\implies \cfrac{1}{sin(t)}\implies \cfrac{1}{-\frac{5}{7}}\implies \cfrac{\frac{1}{1}}{-\frac{5}{7}}\implies \cfrac{1}{1}\cdot -\cfrac{7}{5}\implies -\cfrac{7}{5}$

6 0

3 years ago

What percent of a dollar is a nickel and a penny?<br><br><br><br> It is ______% of a dollar.

TiliK225 [7]

Answer:

6 %

Step-by-step explana

100 pennies makes a dollar... you just add 5 for the nickel and 1 fo the penny and it makes 6

7 0

3 years ago

g In the sample of 134 South Korean tourists, 57 of them were satisfied with their Jeju experience. In the sample of 150 other c

nasty-shy [4]

Answer:

The test statistic = -0.93

Step-by-step explanation:

The test statistic is given by the formula

z = (X₁ - X₂) ÷ √(σₓ₁² + σₓ₂²)

where X₁ = proportion of data of South Korean tourists = (57/134) = 0.425

X₂ = proportion of other country tourists = (72/150) = 0.48

σₓ₁ = standard error in data 1 = √[p(1-p)/n]

= √(0.425 × 0.575/134) = 0.0427

σₓ₂ = standard error in data 2 = √[p(1-p)/n]

= √(0.48 × 0.52/150) = 0.0408

z = (X₁ - X₂) ÷ √(σₓ₁² + σₓ₂²)

z = (0.425 - 0.48) ÷ √(0.0427² + 0.0408²)

z = -0.055 ÷ 0.0590586996

z = -0.9313

Hope this Helps!!!

6 0

4 years ago

I am so lost can someone help me and explain these to me... step by step... i really need help... i just dont get it...

JulsSmile [24]

QUESTION 1a

The given function is:

$5 {x}^{4} - 8$

By number of terms we classify this as a binomial.

By degree, we classify this as a quartic polynomial.

QUESTION 1b)

The given function is:

$4 {a}^{2} - 2a - 16$

based on number of terms: trinomial

based on degree: quadratic polynomial.

QUESTION 1c

The given function is;

$9 {m}^{3}$

Using number of terms: monomial

Using degree: cubic polynomial

QUESTION 2a.

Michael's weight:

$72 {x}^{5}$

Al's weight:

$9 {x}^{7}$

Ratio:

$72 {x}^{5}:9 {x}^{7}$

QUESTION 1d

We need to simplify the ratio:

$72 {x}^{5}:9 {x}^{7}$

We divide both terms in the ratio by;

$9 {x}^{5}$

This gives us:

$8:{x}^{2}$

QUESTION 1e

If the ratios were negative, then the ratio becomes:

$72 {x}^{ - 5}:9 {x}^{ - 7}$

We divide each term of the ratio by,

$9 {x}^{ - 7}$

This gives us;

$8{x}^{ 2}:1$

Yes,that will change the answer.

QUESTION 2a

The given trinomials are;

${x}^{ 2}+7x-8$

and

$2{x}^{ 2}-7x+1$

The sum of two trinomials is always a trinomial is a false statement.

Question 2b)

We add the two trinomials to get,

$3{x}^{ 2}-7$

This is a binomial.

4 0

3 years ago