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3 years ago

12

a certain number of quartersz five times as many pennies as quarters, and 12 more dimes than quarters are worth 8.00. dollars ho

w many of each coins are there

2 answers:

Naya [18.7K]3 years ago

7 0

5... I'm guessing and just trying to get credit lol

Andrej [43]3 years ago

3 0

Answer:

Step-by-step explanation:

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The radius of a circle is 9 m. Find its area in terms of \piπ.

andriy [413]

Answer:

A= 81πm² or 254.47 m²

Step-by-step explanation:

Area = π x r²

π x 9m² (9x9)

<em>i'm not 100% sure this is correct so i'm sorry if it is wrong</em>

6 0

3 years ago

What can you say about the y-values of the two functions <img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%203%5Ex-3" id="TexForm

slavikrds [6]

Answer:

a) The minimum y-value of f(x) is -3

d) The minimum y-value of g(x) is -3

Step-by-step explanation:

Given in the question that,

f(x) = 3 $^{x}$ -3

g(x) = 7x² - 3

<h3>A)</h3>

At large negative exponents, the value approaches to zero

y = $3^{-100}-3=-3$

y = $3^{-1000}-3=-3$

y = $3^{-10000}-3=-3$

<h3>B)</h3>

Minimum y-value of g(x) will be when x = 0

y = 7x² - 3

y = 7(0) - 3

y = -3

4 0

3 years ago

All athletes at the Olympic Games (OG) are tested for performance-enhancing steroid drug use. The basic Anabolic Steroid Test (A

Semenov [28]

Answer:

a ) the probability of using steroids and having a negative test is 0.5%

b) The probability of testing positive is 6.4%

c) The probability of not using steroids, given that the test is negative is 99.47%

d) No, they are not statistically indepent.

e) The probability that the athlete will either use steroids or test positive is 6.9%

Step-by-step explanation:

Let A be the event that the test result is positive and B the event that the athlete uses Steroids. We are given the following

$P(A|B) = 90%, P(A|B^c) = 2%, P(B) = 5%$

From which we deduce that

$P(A^c|B) = 10%, P(B^c) = 95%$

a) We are asked for the probability $P(A^c\cap B)$ . REcall the conditional probability formula that, given two events C,D the conditional probability $P(C|D) = \frac{P(C\cap D)}{P(D)}$ . Then we have that

$P(A^c\cap B) = P(A^c|B)P(B) = 10\% \cdot 5\%=0.5\%$ .

b) We are asked for the probability P(A). We can use the fact that given two mutually exclusive events(that is, whose intersection is empty) A,B the probability P(C) of an event is given by $P(C) = P(C|A)P(A)+P(C|B)P(B)$ . Then

$P(A) = P(A|B)P(B)+P(A|B^c)P(B^c) = 90\%\cdot5\% + 2\% \cdot 95% = 6.4\%$

c) We are asked for the probability P(B^c|A^c). Recall that $P(A|B) = \frac{P(B|A)P(A)}{P(B)}$ . Then

$P(B^c|A^c) = \frac{P(A^c|B^c)P(B^c)}{P(A^c)}= \frac{P(A^c|B^c)P(B^c)}{1-P(A)}= \frac{(1-P(A|B^c))P(B^c)}{1-P(A)}=\frac{98\%\cdot 95\%}{1-6.4\%}= 99.47\%$

d) We say that two events A,B are statistically indepent if P(A|B) = P(A). Note that from point B the probability of testing negative is 1- 6.4% = 93.6%. Since 93.6% is different from 99.47% this means that testing positive and using steroids are not statistically independent.

e) We are asked for the probability $P(A\cup B)$ . We use the following

$P(A\cupB) = P(A)+P(B)-P(A\cap B) = P(A) +P(B)-P(A|B)P(B) = 6.4\%+5\%-90\%\cdot 5\%=6.9\%$

4 0

4 years ago

Vertex of an angel?? don't know definition

aksik [14]

A vertex is the common point that two lines or rays diverge from.

8 0

3 years ago

a. Compute the gradient of ƒ and evaluate it at P. b. Find the unit vector in the direction of maximum increase of ƒ at P. c. Fi

DiKsa [7]

Answer:

The question has some details missing. Here is the given function ; f(x,y,z) = 1 + 4xyz at point P = (1,-1,-1)

Step-by-step explanation:

The detailed steps and appropriate calculation is as shown in the attached file.

6 0

3 years ago