Can someone please help its due soon.ill give brainliest!

<img src="https://tex.z-dn.net/?f=x%20%3D%204y%20%5Ctimes%203" id="TexFormula1" title="x = 4y \times 3" alt="x = 4y \times 3" al

Bingel [31]

X=12y there is no conventional way of solving precisely.

3 0

3 years ago

Read 2 more answers

Banana

Tcecarenko [31]

Answer:

almost 567 students

Step-by-step explanation:

all fruits = 23+18+34+27+18 = 120

possibility of selecting an orange as favourite fruits by one student = 34/120 = 17/60

possibility of selecting an orange as favourite fruits by 2000 students = 17/60×2000 =1700/3 = 566.6666...=567 students

6 0

2 years ago

The failure of a circuit board interrupts work that utilizes a computing system until a new board is delivered. The delivery tim

Hatshy [7]

Answer:

The expected cost is 152

Step-by-step explanation:

Recall that since Y is uniformly distributed over the interval [1,5] we have the following probability density function for Y

$f_Y(y ) = \frac{1}{5-1} = \frac{1}{4}$ if $1\leq y \leq 5$ and 0 othewise. (To check this is the pdf, check the definition of an uniform random variable)

Recall that, by definition

$E(Y^k) = \int_{-\infty}^{\infty} y^kf_Y(y)dy$

Also, we are given that $C = 50+3Y+9Y^2$ . Recall the following properties of the expected value. If X,Y are random variables, then

$E(a+bX+cY) = a+bE(X)+cE(Y)$

Then, using this property we have that $E[C] = 50+3E[Y]+ 9E[Y^2]$ .

Thus, we must calculate E[Y] and E[Y^2].

Using the definition, we get that

$E[Y] = \int_{1}^{5}\frac{y}{4} dy =\frac{1}{4}\left\frac{y^2}{2}\right|_{1}^{5} = \frac{25}{8}-\frac{1}{8} = 3$

$E[Y^2] = \int_{1}^{5}\frac{y^2}{4} dy =\frac{1}{4}\left\frac{y^3}{3}\right|_{1}^{5} = \frac{125}{12}-\frac{1}{12} = \frac{31}{3}$

Then

$E(C) = 50 + 3\cdot 3 + 9 \cdot \frac{31}{3} = 152$

5 0

3 years ago

Can someone help me simplify these expressions

Sunny_sXe [5.5K]

Step-by-step explanation:

4. Let's multiply the coefficients. 2 * 6 * (-5) = -60. As for the exponents, since they have the same base we'll just add the exponents giving us s^(2 + 1 + 4) = s^7 so the answer is -60s^7.

7. -2/3 * -1/2 * -4 = -4/3 and the exponent is b^(2 + 3 + 4) = b^9 so the answer is -4/3b^9

4 0

3 years ago

Jacob knows that the adult population gets, on average, eight hours of sleep each night. A hypothesis test can help him see if c

Vlad [161]

Answer:

The t-statistic that Jacob calculates is $t = -2.71$

Step-by-step explanation:

Jacob knows that the adult population gets, on average, eight hours of sleep each night. A hypothesis test can help him see if college students are different from the adult population.

At the null hypothesis, we test if the mean is of 8 hours, that is:

$H_0: \mu = 8$

At the alternative hypothesis, we test if the mean is different of 8 hours, that is:

$H_1: \mu \neq 8$

The test statistic is:

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.

8 is tested at the null hypothesis:

This means that $\mu = 8$

From a sample of 101 students, Jacob tabulated that his sample of students got an average of 7.3 hours of sleep each night, with a standard deviation of 2.6.

This means that $n = 101, X = 7.3, s = 2.6$

What is the t-statistic that Jacob calculates?

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

$t = \frac{7.3 - 8}{\frac{2.6}{\sqrt{101}}}$

$t = -2.71$

The t-statistic that Jacob calculates is $t = -2.71$

6 0

3 years ago