Write an expression that shows how to multiply 4 x 362 using place value in expanded form

Element X decays radioactively with a half life of 12 minutes. If there are 690 grams of Element X, how long, to the nearest ten

Alexeev081 [22]

Answer:

the answer and explanation of the question is in the picture

Step-by-step explanation:

hope this helps

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7 0

3 years ago

A contractor is required by a county planning department to submit one, two, three, four, or five forms (depending on the nature

Westkost [7]

Answer:

(a) The value of k is $\frac{1}{15}$ .

(b) The probability that at most three forms are required is 0.40.

(c) The probability that between two and four forms (inclusive) are required is 0.60.

(d) $P(y)=\frac{y^{2}}{50} ;\ y=1, 2, ...5$ is not the pmf of y.

Step-by-step explanation:

The random variable Y is defined as the number of forms required of the next applicant.

The probability mass function is defined as:

$P(y) = \left \{ {{ky};\ for \ y=1,2,...5 \atop {0};\ otherwise} \right$

(a)

The sum of all probabilities of an event is 1.

Use this law to compute the value of k.

$\sum P(y) = 1\\k+2k+3k+4k+5k=1\\15k=1\\k=\frac{1}{15}$

Thus, the value of k is $\frac{1}{15}$ .

(b)

Compute the value of P (Y ≤ 3) as follows:

$P(Y\leq 3)=P(Y=1)+P(Y=2)+P(Y=3)\\=\frac{1}{15}+\frac{2}{15}+ \frac{3}{15}\\=\frac{1+2+3}{15}\\ =\frac{6}{15} \\=0.40$

Thus, the probability that at most three forms are required is 0.40.

(c)

Compute the value of P (2 ≤ Y ≤ 4) as follows:

$P(2\leq Y\leq 4)=P(Y=2)+P(Y=3)+P(Y=4)\\=\frac{2}{15}+\frac{3}{15}+\frac{4}{15}\\ =\frac{2+3+4}{15}\\ =\frac{9}{15} \\=0.60$

Thus, the probability that between two and four forms (inclusive) are required is 0.60.

(d)

Now, for $P(y)=\frac{y^{2}}{50} ;\ y=1, 2, ...5$ to be the pmf of Y it has to satisfy the conditions:

$P(y)=\frac{y^{2}}{50}>0;\ for\ all\ values\ of\ y \\$
$\sum P(y)=1$

Check condition 1:

$y=1:\ P(y)=\frac{y^{2}}{50}=\frac{1}{50}=0.02>0\\y=2:\ P(y)=\frac{y^{2}}{50}=\frac{4}{50}=0.08>0 \\y=3:\ P(y)=\frac{y^{2}}{50}=\frac{9}{50}=0.18>0\\y=4:\ P(y)=\frac{y^{2}}{50}=\frac{16}{50}=0.32>0 \\y=5:\ P(y)=\frac{y^{2}}{50}=\frac{25}{50}=0.50>0$

Condition 1 is fulfilled.

Check condition 2:

$\sum P(y)=0.02+0.08+0.18+0.32+0.50=1.1>1$

Condition 2 is not satisfied.

Thus, $P(y)=\frac{y^{2}}{50} ;\ y=1, 2, ...5$ is not the pmf of y.

7 0

3 years ago

Amanda was given three numbers: 8,

Firdavs [7]

Answer:

Yeah, She can.

Step-by-step explanation:

Simply using 8/5

5 0

2 years ago

Simplify

ivolga24 [154]

The correct answer is: [A]: " $\frac{8}{729}$ " .
_________________________________________________________
Explanation:
_________________________________________________________
We are asked to simplify:

  → $(\frac{2}{9})^3$

_________________________________________________________
Note the following property of exponents:
_________________________________________________________

$( \frac{a}{b})^n$   = $\frac{(a^n)}{(b^n)}$ ; { b $\neq$ 0 } .

_________________________________________________________
As such:

→ $( \frac{2}{9})^3$ ;

= $\frac{2^3}{9^3}$ = $\frac{(2*2*2)}{(9*9*9)}$ = $\frac{8}{729}$ .

_____________________________________________________________

The answer is: " $\frac{8}{729}$ " ;

→ which is: "Answer choice: [A]:  " $\frac{8}{729}$ " .
_____________________________________________________________
Hope this answer—and explanation—is of some help to you.
Please comment below or otherwise respond to me if you have any questions or if I can be of further assistance.
Best wishes!

5 0

3 years ago

Read 2 more answers

Ann sleeps 8 hours per night. Write an expression for the number of hours Ann sleeps in n nights.

lord [1]

8n. 8 represents the number of hours she sleeps, and n represents the number of night she sleeps.

8 0

3 years ago