Suppose that E and f are two events and that P(E and F)=0.3 and P(E)=0.5. What is P(F/E)?

Answer: m=7/3

Step-by-step explanation:

the point were at (4,3)(1,-4)

m=y2-y1/ x2-x1

m= -4-3/ 1-4

m= -7/-3

m=7/3

Answer:

your answer is 7

Step-by-step explanation:

i may be wrong but i think that is the correct answer oh and Have a good thanksgiving everyone

Answer:

13.3 and 28.2 years

Step-by-step explanation:

from Khan academy

Step-by-step explanation:

The question is wrong. The correct equation is :

[tex]C=\frac{5}{9}F-\frac{160}{9}[/tex]

We know that the equation gives the relation  between temperature readings in Celsius and Fahrenheit.

Therefore, giving that we know the value in Fahrenheit ''F'' we can find the reading in Celsius ''C''. This define a function C(F) that depends of the variable ''F''.

So for the incise (a) we answer Yes, C is a function of F.

For (b) we need to find the mathematical domain of this function. Giving that we haven't got any mathematical restriction, the mathematical domain of the function are all real numbers.

Dom (C) = ( - ∞ , + ∞)

For (c) we know that the water in liquid state and at normal atmospheric pressure exists between 0 and 100 Celsius.

Therefore the range will be

Rang (C) = (0,100)

Now, we need to find the domain for this range. We do this by equaliting and finding the value for the variable ''F'' :

For C = 0 :

[tex]0=\frac{5}{9}F-\frac{160}{9}[/tex] ⇒ [tex]F=32[/tex]

And for C = 100 :

[tex]100=\frac{5}{9}F-\frac{160}{9}[/tex] ⇒ [tex]F=212[/tex]

Therefore, the domain as relating temperatures of water in its liquid state is

Dom (C) = (32,212)

For (d) we only need to replace in the equation by [tex]F=71[/tex] and find the value of C ⇒

[tex]C=\frac{5}{9}F-\frac{160}{9}[/tex] ⇒

[tex]C=(\frac{5}{9})(71)-\frac{160}{9}[/tex]

[tex]C=\frac{65}{3}[/tex] ≅ 21.67

C(71) = 21.67 °C

a. Yes, C is a function of F.

b. Domain of the function is: ( - ∞ , + ∞)

c. Range of function C is: (0, 100)

the domain of function C is: (32, 212).

d. [tex]\mathbf{C(71) = 21.67^{\circ}C}[/tex]

The domain of a function is the input value, while the range is the corresponding output value.

a. Given the equation of the function as, [tex]C = \frac{5}{9}(F) - \frac{160}{9}[/tex], this means that, the value of C is dependent on the value of F, therefore, the answer is, Yes, C is a function of F.

b. Since no mathematical restriction was stated, therefore:

Domain of the function is: ( - ∞ , + ∞)

c. Temperature of water in its liquid state ranges between 0 and 100°C, therefore:

Range of function C is: (0, 100)

To find the domain, substitute C = 0 and C = 100, respectively, into  [tex]C = \frac{5}{9}(F) - \frac{160}{9}[/tex].

Thus:

[tex]0 = \frac{5}{9}(F) - \frac{160}{9}\\\\F = 32[/tex]

[tex]100 = \frac{5}{9}(F) - \frac{160}{9}\\\\F = 212[/tex]

Therefore, the domain of function C is: (32, 212).

d. To find C when F = 71°, substitute F = 71° into  [tex]C = \frac{5}{9}(F) - \frac{160}{9}[/tex].

Thus:

[tex]C(71) = \frac{5}{9}(71) - \frac{160}{9}\\\\C(71) = \frac{65}{3} \\\\\mathbf{C(71) = 21.67^{\circ}C}[/tex]

Learn more about domain and range of function on:

https://brainly.com/question/10197594

sure what’s the problem

Answer:

no

Step-by-step explanation:

this is because

-12-5=-17

-28-2= -30

Answer:

0.5

Step-by-step explanation:

Given that:

Irina measured the weight of her dog to be 13 pounds.

The greatest possible error that could have to occur will be the maximum error.

Let assume that the 13th value obtained was rounded between the range of 12.5 → 13.49 to 13 pounds

Then;

The greatest possible error that could have to occur = 13.0 - 12.5 pounds

The greatest possible error that could have to occur = 0.5 pounds

Answer:

0.5

Step-by-step explanation:

EDGE 2020 Unit Test

Answer:

Step-by-step explanation:

∠a is corresponding to  ∠f

∠b is alternate interior angle to ∠e

∠g is alternate exterior to ∠d

∠f is vertical to ∠h

∠b is consecutive( same side) interior with ∠f

Answer:

12:50

Step-by-step explanation:

15:20 - 2h= 13:20

13:20-30 min= 12:50

Answer:

12:50

Step-by-step explanation:

If it takes 2 hours to get there, you subtract 2 hours from 15:20 which gives you 13:20. It also says that she needs 30 minutes to park so you subtract that from 13:20 giving you 12:50

Answer:

Solution with step by step explanation is the image attached below

Answer:

$5.36

Step-by-step explanation:

multiply 8 by .67

Answer:

You could by 8 magazines

Step-by-step explanation:

First, set up the equation 6/12=x/16

cross multiple to get 12x=96

divide both sides by 12 and x = 8

Answer:

Trina is closer to the ocean because she is only 85.6 meters away from the surface, while Jessie is 87.9 meters away. 85.6 is less than 87.9, which means that Trina is closer.

Step-by-step explanation:

Sea level is represented by the number 0. -85.6 is closer to the number 0 than 87.9 is, which tells us that Trina is closer.

Hope this helps :)

Answer:

A=1

B=2

c=1

Step-by-step explanation:

Answer:

27 days

Step-by-step explanation:

June has 30 days, So our equation looks like this:

30*0.9=27 days.

Answer:

No

Step-by-step explanation:

No, it is not a function it would instead be a constant since the result will always be the same street address regardless of the input that is being given. With a function, a specific input is given to the function which is applied to the function itself, and output is provided based on the results generated from the input. Therefore, with a function, the input determines the output which is almost always different when different inputs get provided.

Answer:650 people were surveyed

Answer: assistant A earned a total of $550, assistant earned a total of $225 so in a total they earn a total of $775.

Answer:

C = 105 + 50x

2) variable unit = Numbe of color

Fixed unit = number of shirt

Step-by-step explanation:

Given that :

Number of members = 35

Charge per shirt = $3

Charge per color = $50

relationship between the number of T-shirts ordered, the number of colors on the shirts, and the total cost of the order

Let cost of order = C

Number of color = x

Number of Tshirt ordered = 35

Cost = (charge per shirt * number of shirts) + charge per color * number of colors)

C = (3 * 35) + ($50 * x)

C = 105 + 50x

Number of shirts to be ordered has been fixed tnd this includes it's 35 members

The number of color to be used hasn't been adopted and can thus be varied

Answer:

The amount of right-handed players is 53

Hope this Helps :)

Answer:

The first thing you do is make the denominators equal on both sides.

Step-by-step explanation:

As a example if you have the equation:

[tex]\frac{1}{2}[/tex] + [tex]\frac{2}{5}[/tex] =

you would multiply the denominator by the smallest multiple. I would do 2 * 5= 10

this would make the equation

[tex]\frac{x}{10} + \frac{x}{10} = ...[/tex]

next you have to do the same with the numerator.

so sence you multiplied the [tex]\frac{1}{2}[/tex] by five you will get [tex]\frac{5}{10}[/tex]

same with the other fraction except you multiplied it by two.[tex]\frac{2}{5}[/tex] x 2 = [tex]\frac{4}{10}[/tex]

next you add and simplify if needed

Answer:

3 simple steps

Step-by-step explanation:

1.     Make sure the bottom numbers ( the denominators ) are the same

       IF DIFFERENT find the LCD

2.    Add the top numbers (the numerators )

3.    simplify the fraction if needed

ex:  1/4 +1/4 = 2/4  (bottoms were the same) simplify  1/2

       1/3 + 1/6    LCD of 3 and 6 so make the bottom numbers 6

                         so multiply  1/3 x  2 = 2/6

        now you have 2/6 + 1/6 = 3/6    simplify 1/2

Answer:

231  your welcome

Step-by-step explanation:

Answer:

$62.50

Step-by-step explanation: 250 divided by 4 equals $62.10

Answer:

yes

Step-by-step explanation:

I figured this out by determining how many times 3 fits into 7.

7/3 is equal to 2 and 1/3

2 1/3 < 6

Hope this helps <3

please give brainliest

Answer:

Step-by-step explanation:

Given

To find

Solution

Given:

Principal value = $65,550

Rate of interest = 3% compounded every six month

To find:

The taken to have $100,000 in Jack's account.

Solution:

The formula for amount is

[tex]A=P(1+\dfrac{r}{n})^{nt}[/tex]

where, P is principal, r is rate of interest, n is number of times interest compounded in an year, t is time in number of years.

Interest compounded every six month. It means, interest compounded 2 times in an year.

Substitute A=100000, r=0.03 and n=2 in the above formula.

[tex]100000=65550(1+\dfrac{0.03}{2})^{2t}[/tex]

[tex]\dfrac{100000}{65550}=(1+0.015)^{2t}[/tex]

[tex]1.525553=(1.015)^{2t}[/tex]

Taking log on both sides.

[tex]\log (1.525553)=\log (1.015)^{2t}[/tex]

[tex]\log (1.525553)=2t\log (1.015)[/tex]

[tex]\dfrac{\log (1.525553)}{2\log (1.015)}=t[/tex]

[tex]t=14.1838928[/tex]

[tex]t\approx 14.18[/tex]

Therefore, after 14.18 year the amount will reach at $100,000 or we can say that in 15th year the amount will reach at $100,000.

Answer:

b

Step-by-step explanation:

Answer:

(a) 5.48%

(b) 17.82 years

(c) 21.19%

(d) 15.21 years

Step-by-step explanation:

z = (x-μ)/σ,

where

x is the raw score

μ is the population mean

σ is the population standard deviation.

µ=12 years and σ=2.5 years.

(a) What percent of the radios will function for more than 16 years?

For x = 16

z = 16 - 12/2.5

z = 1.6

Probability value from Z-Table:

P(x<16) = 0.9452

P(x>16) = 1 - P(x<16)

1 - 0.9452

= 0.054799

Converting to percentage = 0.054799 × 100

= 5.4799%

Approximately = 5.48%

(b) Suppose the company decides to replace 1% of the radios. Find the length of the guarantee period. i.e. find X.

find the z score of the 99th percentile = 2.326

Hence:z = (x-μ)/σ

2.326 = x - 12/2.5

Cross Multiply

2.326 × 2.5 = x - 12

5.815 = x - 12

x = 12 + 5.815

x = 17.815

Approximately = 17.82 years

(c) What percent of the radios that will fail to satisfy the guarantee period of 10 years? , i.e. less than 10 years?

When x < 10

Hence,

z = 10 - 12/2.5

z = -0.8

Probability value from Z-Table:

P(x<10) = 0.21186

Converting to percentage

0.21186 × 100

= 21.186%

Approximately = 21.19%

(d) If 10% of the radios will function for more than X years, find X.

The z score would be : 100 - 10%

= 90th percentile z score

We find the z score of the 90th percentile = 1.282

Hence:z = (x-μ)/σ

1.282 = x - 12/2.5

Cross Multiply

1.282 × 2.5 = x - 12

3.205 = x - 12

x = 12 + 3.205

x = 15.205

Approximately = 15.21 years

Answer:

y=|x+7|

Step-by-step explanation:

to move an absolute value equation to the left, all you have to do is add 7 to the inside of the absolute value:

y=|x+7|

We can check that this works, because the x-intercept moved from (0, 0) to (0, -7), meaning that the whole graph got translated 7 units to the left.