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2 years ago

Please help ! I’m in such a rush! I have to be done before 3pm and it’s already 2:30pm

Mathematics

1 answer:

lutik1710 [3]2 years ago

6 0

Answer:

170°

Step-by-step explanation:

By inspection of the diagram, the angle is 170°

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Let x ∼ bin(9, 0.4). find

Kobotan [32]

A.
$\mathbb P(X>6)=\mathbb P(X=7)+\mathbb P(X=8)+\mathbb P(X=9)$
$=\dbinom97(0.4)^7(1-0.4)^{9-7}+\dbinom98(0.4)^8(1-0.4)^{9-8}+\dbinom99(0.4)^9(1-0.4)^{9-9}$
$\approx0.025$

b.
$\mathbb P(X\ge2)=1-\mathbb P(X$
$=1-\dbinom90(0.4)^0(1-0.4)^{9-0}-\dbinom91(0.4)^1(1-0.4)^{9-1}$
$\approx0.929$

c.
$\mathbb P(2\le X$
$=\dbinom92(0.4)^2(1-0.4)^{9-2}+\dbinom93(0.4)^3(1-0.4)^{9-3}+\dbinom94(0.4)^4(1-0.4)^{9-4}$
$\approx0.663$

d.
$\mathbb P(2$
$=\dbinom93(0.4)^3(1-0.4)^{9-3}+\dbinom94(0.4)^4(1-0.4)^{9-4}+\dbinom95(0.4)^5(1-0.4)^{9-5}$
$\approx0.669$

e.
$\mathbb P(X=0)=\dbinom90(0.4)^0(1-0.4)^{9-0}\approx0.01$

f.
$\mathbb P(X=7)=\dbinom97(0.4)^7(1-0.4)^{9-7}\approx0.021$

g, h.
For $X\sim\mathcal B(n,p)$ , recall that $\mathbb 
E[X]=\mu_X=np$ and $\mathbb V[X]={\sigma_X}^2=np(1-p)$ . So

$\mu_X=9(0.4)=3.6$
${\sigma_X}^2=9(0.4)(0.6)=2.16$

6 0

3 years ago

A commercial package contains thirty-six 200-mg tablets of ibuprofen. How many kilograms of ibuprofen were

PIT_PIT [208]

Answer: 0.0072 kilogram

Step-by-step explanation:

Given : The mass of one tablet of ibuprofen =200 mg

Then, the mass of 36 tablets of ibuprofen = $36\times200$ mg

i.e. the mass of 36 tablets of ibuprofen = $7200$ mg

We know that 1 kilogram = 1000 grams

and 1 gram = 1000 milligram

Then, 1 kilogram = $1000,000$ milligrams

Then, $\text{1 mg}=\dfrac{1}{1000,000}\text{ kg}$

Now, $\text{7200 mg}=\dfrac{7200}{1000,000}=0.0072\text{ kg}$

Hence, A commercial package contains 0.0072 kilogram of ibuprofen.

3 0

3 years ago

Why did the kindergartener take her books to zoo

ss7ja [257]

She wanted to learn to read between the lions

8 0

3 years ago

Alguien me pude decir una adivinanza o historia q la solución sea una ecuación de segundo grado completa????

Hitman42 [59]

Answer:

Una ecuación de segundo grado completa es algo como:

y = a*x^2 + b*x + c

Un problema tipico que usa ecuaciones de este tipo es algo que nos haga multiplicar dos términos como h*(x + k) y n*(x + j)

Donde h, k, n, y j son números reales.

Entonces planteemos el siguiente caso.

"Juan tiene una tabla rectangular, de tal forma que su largo es (x + 3cm), y el ancho es igual a dos veces su largo, si sabemos que el área de esta tabla es 95 cm^2 ¿cuál es el valor de x?"

Acá hay que recordar que para un rectángulo de largo L y ancho W, el área es:

A = L*W

En este caso tendremos:

L = (x + 3cm)

Y el ancho es dos veces eso, entonces:

W = 2*(x + 3cm)

Entonces el area de esta tabla se escribirá como:

A = (x + 3cm)*2*(x + 3cm)

Ahora solo tenemos que expandir eso:

A = 2*x^2 + 12cm*x + 18cm^2

Ahora sabemos que el area de esta tabla es 95cm^2

Entonces:

95cm^2 = 2*x^2 + 12cm*x + 18cm^2

0 = 2*x^2 + 12cm*x + (18cm^2 - 95cm^2)

0 = 2*x^2 + 12cm*x - 77 cm^2

Esta es una ecuación de segundo grado completa, la cual deberiamos resolver para encontrar el valor de x como se nos pide en el problema.

4 0

2 years ago

What is the next fraction in this sequence? Simplify 3/14,2/7,5/14,3/7, its due today please help

Fynjy0 [20]

The next fraction in the given sequence is; 7/14

We are given the sequence;

3/14, 2/7, 5/14, 3/7.

To get the next fraction in the sequence, we have to find the pattern of the differences.

Difference between first and second term is;

2/7 - 3/14 = 1/14

Similarly, for 2nd and 3rd term;

Difference = 5/14 - 2/7

Difference = 1/14

Therefore,the next fraction in the sequence will be gotten by adding 1/14 to 3/7

Next fraction = 3/7 + 1/14

Next fraction = 7/14

Read more on arithmetic sequence at;

brainly.com/question/1145052

7 0

3 years ago