at is the equation of the line passing through the points (2/5, 19/20) and (1/3, 11/12) slope-intercept form? y = 1/2 * x - 3/4 y = 1/2 * x + 3/4 y = 3/4 * x - 1/2 y = 3/4 * x + 1/2

Answer:

Answer and Explanation:

We have:

Population mean,

μ

=

3

,

000

hours

Population standard deviation,

σ

=

696

hours

Sample size,

n

=

36

1) The standard deviation of the sampling distribution:

σ

¯

x

=

σ

√

n

=

696

√

36

=

116

2) As per the central limit theorem, the expected value of the sampling distribution is equal to the population mean.

Therefore:

The expected value of the sampling distribution is equal to the population mean,

μ

¯

x

=

μ

=

3

,

000

The standard deviation of the sampling distribution,

σ

¯

x

=

116

The shape of the sampling distribution of

¯

x

is approximately normal. As the sample size is more than

30

.

3) The probability that the average life in the sample will be between

2670.56

and

2809.76

hours:

P

(

2670.56

<

x

<

2809.76

)

=

P

(

2670.56

−

3000

116

<

z

<

2809.76

−

3000

116

)

=

P

(

−

2.84

<

z

<

−

1.64

)

=

P

(

z

<

−

1.64

)

−

P

(

z

<

−

2.84

)

=

0.0482

Using Excel: =NORMSDIST(-1.64)-NORMSDIST(-2.84)

4) The probability that the average life in the sample will be greater than

3219.24

hours:

P

(

x

>

3219.24

)

=

P

(

z

>

3219.24

−

3000

116

)

=

P

(

z

>

1.89

)

=

0.0294

Using Excel: =NORMSDIST(-1.89)

5) The probability that the average life in the sample will be less than

3180.96

hours:

P

(

x

<

3180.96

)

=

P

(

z

<

3180.96

−

3000

116

)

=

P

(

z

<

1.56

)

=

0.9406

The expected value, standard deviation, and shape of the sampling distribution of will be 116.

Standard deviation is the measure of dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Given that;

The average lifetime of a light bulb is 3,000 hours with a standard deviation of 696 hours.

And, A simple random sample of 36 bulbs is taken.

Now,

Since, The average lifetime of a light bulb is 3,000 hours with a standard deviation of 696 hours.

And, A simple random sample of 36 bulbs is taken.

Hence, The expected value, standard deviation, and shape of the sampling distribution of is,

⇒ Standard error = 696 / √ 36

                            = 696 / 6

                            = 116

Thus, The expected value, standard deviation, and shape of the sampling distribution of = 116.

Learn more about the standard deviation visit:

https://brainly.com/question/475676

#SPJ5

Answer:

(a) >, decreasing

(b) 0, horizontal

Step-by-step explanation:

(a) dy/dt = eᵗ (y − 1)²

eᵗ is always positive, and (y − 1)² is always positive.  So dy/dt is always positive.  Meaning the graph of the solution can never be decreasing.

(b) When y = 1, dy/dt = e¹ (1 − 1)² = 0.  However, this graph does not have a horizontal tangent line at y=1, so this is not the solution of the differential equation.

Answer:

60 percent

Step-by-step explanation:

Answer:

60% are roses

Step-by-step explanation:

1. Add all the numbers together to find the total

15+6+4= 25 total flowers

2. Put the total as the denominator, and the rose count as the numerator since we are trying to find what percentage are roses

15/25

3. Simplify fraction

15/25= 3/5

4. Divide numerator by denominator

300/5

5. Simplify

300/5= 60%

9514 1404 393

Answer:

  4^0

Step-by-step explanation:

The rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)/(a^c) = a^(b-c)

So, your expression simplifies to ...

  [tex]4^5\times4^{-7}\div4^{-2}=4^{5-7-(-2)}=\boxed{4^0}[/tex]

Answer:

35

Step-by-step explanation:

5*1+3*10

5+30 = 35

Answer:

The answer is "Pretty confident our candidate will win".

Step-by-step explanation:

All the following theories:  

[tex]H_o[/tex]: The loss of our candidate  

[tex]H_a[/tex]: Our candidate  

P values of 0.058, 0.026 and 0.045 are defined.  

All values are below 0.10, but 2 of them will be below 0.05, which indicates very good proof of Ha.  Therefore, the right reply is that our candidate will win very comfortably.

Answer:81%

Step-by-step explanation:

Answer:

60% tiger trout

Step-by-step explanation:

First, do 22+18=  40

Then, when doing % its always out of 100. So, 100 - 40= 60%

Which means, there were 60% Tiger trout.                                                                                                                                                            

Answer:

7^12=13,841,287,201

Step-by-step explanation:

when you are putting a  power to a power, you just multiply the powers by each other

Answer:

7^12

Step-by-step explanation:

(7^6)^2

7^12

Answer:

The equation is C(t) = 1.50t + 4.00 and the data table is below.

Step-by-step explanation:

We are given that a cafe charges $1.50 for every minute that someone uses the internet. The cafe also charges an initial $4 fee to use the internet.

We need to find a function, in terms of t, that will find these values.

We can treat this as a linear equation. If we initially pay $4, this is acquired before we pay the fee every minute. Therefore, this would be our y-intercept at x = 0. Our first coordinate is (0, 4).

Secondly, if we are charged every minute, this would be a recurring payment and therefore we would spend $1.50 after each minute elapses. This gives us our slope: 1.50 or [tex]\frac{3}{2}[/tex].

Therefore, we can set up our function.

C is the total cost and t is the time, in minutes, that internet is used at the cafe. Our equation can be set up as [tex]C(t) = 1.50t + 4.00[/tex].

Now, we can create a table of values for t = 0 to t = 5 to determine what C(t) is at each of these prime intervals.

[tex]\begin{array}{|c|c|} \cline{1-2} \textbf{C} & \textbf{t} \\ \cline{1-2} a & 0 \\ \cline{1-2} b & 1 \\ \cline{1-2} c & 2 \\ \cline{1-2} d & 3 \\ \cline{1-2} e & 4 \\ \cline{1-2} f & 5 \\ \cline{1-2} \end{array}[/tex]

This is what our table looks like, but we need to fill the C column. Therefore, we can use substitution of our t-values into the equation and solve for C.

[tex]\bullet \ \text{For t = 0,}[/tex]

[tex]C(0) = 1.50(0) + 4\\\\C(0) = 0 + 4\\\\C(0) = 4.00[/tex]

[tex]\bullet \ \text{For t = 1,}[/tex]

[tex]C(1) = 1.50(1) +4\\\\C(1) = 1.50 + 4\\\\C(1) = 5.50[/tex]

[tex]\bullet \ \text{For t = 2,}[/tex]

[tex]C(2) = 1.50(2) + 4\\\\C(2) = 3.00 + 4\\\\C(2) = 7.00[/tex]

[tex]\bullet \ \text{For t = 3,}[/tex]

[tex]C(3) = 1.50(3) + 4\\\\C(3) = 4.50 + 4\\\\C(3) = 8.50[/tex]

[tex]\bullet \ \text{For t = 4,}[/tex]

[tex]C(4) = 1.50(4) + 4\\\\C(4) = 6.00 + 4\\\\C(4) = 10.00[/tex]

[tex]\bullet \ \text{For t = 5,}[/tex]

[tex]C(5) = 1.50(5) + 4\\\\C(5) = 7.50 + 4\\\\C(5) = 11.50[/tex]

Now, we can insert these values into our table.

[tex]\begin{array}{|c|c|} \cline{1-2} \textbf{C} & \textbf{t} \\ \cline{1-2} 4.00 & 0 \\ \cline{1-2} 5.50 & 1 \\ \cline{1-2} 7.00 & 2 \\ \cline{1-2} 8.50 & 3 \\ \cline{1-2} 10.00 & 4 \\ \cline{1-2} 11.50 & 5 \\ \cline{1-2} \end{array}[/tex]

Therefore, our equation is C(t) = 1.50t + 4.00 and our data table is above.

Answer:

The function rule in slope-intercept form is:

[tex]y = \frac{1}{2}x-\frac{7}{2}[/tex]

Step-by-step explanation:

The slope-intercept form of a function is given as:

[tex]y = mx+b[/tex]

Here

m is the rate of change of function and b is the y-intercept

The rate of change is calculated as:

[tex]m = \frac{difference\ in\ y}{difference\ in\ x}[/tex]

For this, any two pairs of input and output can be taken.

So using the pairs (1,-3) and (2,-1)

[tex]m=\frac{2-1}{-1+3}\\=\frac{1}{2}[/tex]

Putting the value of slope in slope-intercept form

[tex]y = \frac{1}{2}x+b[/tex]

Putting (1,-3) in the equation

[tex]-3 = \frac{1}{2}(1)+b\\-3 = \frac{1}{2}+b\\b = -3-\frac{1}{2}\\b = \frac{-6-1}{2}\\b= \frac{-7}{2}[/tex]

Putting the value of b

[tex]y = \frac{1}{2}x-\frac{7}{2}[/tex]

Hence,

The function rule in slope-intercept form is:

[tex]y = \frac{1}{2}x-\frac{7}{2}[/tex]

Answer:

$0.05

Step-by-step explanation:

<3

Answer:

1

Step-by-step explanation:

Answer:

(2/5,0)

Step-by-step explanation:

The equation to find a line is mx+b=y. In this case m is 5, and b is -2.

5x+-2=y

Since we want to find the x-intercept, y has to be 0.

So: 5x+-2=0

5x=2

x=2/5

Answer:

35 balloons

Step-by-step explanation:

If wrong srry...hope this helps

Answer:

35 bunches

Step-by-step explanation:

25*7=175 balloons

5 balloons in each bunch=175/5

=35

Step-by-step explanation:

[tex]{:}\longrightarrow[/tex][tex]\sf S_n={\dfrac {n}{2}}\left [2a-(a-1)d\right][/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf S_101={\dfrac {101}{2}}\left [26 (12)4\right] [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 50.5×1248 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf S_101=63504[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf a_101=13+(101-1)-4 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf a_101=13+100(-4)[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 13-400 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf a_101=-387 [/tex]

Answer:

what figures? pls share the picture of the figures

Step-by-step explanation:

Answer:

7398

Step-by-step explanation:

Answer:

7398

I mean, this is the answer. You COULD just use a calculator, but here.

Glad I can help. :)

Answer:

i think the answer is 10x^3-12^2-198x-40

Answer:

I think it’s A,C, and E

Step-by-step explanation:

I’m not for sure but if you plot those points in the shaded region for graph C, those should be correct .

Answer:

The answer is A.

Step-by-step explanation:

The ratio is 1 second/2 centimeters, but since they're asking for a unit ratio, you need to divide the top and bottom by 2 which gives you a unit ratio of ½ second/1 centimeter.

Answer:

Perhaps, B or A

Step-by-step explanation:

Answer:

to get a green and pink it would be 24

i cant find find the special edit sorry

Step-by-step explanation:

Answer:

y=4x+1

Step-by-step explanation:

First you need to solve for slope using the equation:

y2-y1/x2-x1

It doesn't matter what point is 1 or what point is 2. Lets just say that (-2,-7) is point 1, and (-1,-3) is point 2.

(-3)-(-7)/(-1)-(-2)=-4/-1=4

Next you find the y-intercept. To do this you can plug in plug in everything we know into the equation: y=mx+b, and solve for b.

(Lets use point one)

-7=4(-2)+b

-7=--8+b

1=b

Last we can put it all together.

y=4x+1

Answer:

slope is 0

Step-by-step explanation:

Answer:

slope is 0

Step-by-step explanation:

I used another app to find the awnser for you

Answer:

48 right-handed players

Step-by-step explanation:

first, make an equation

[tex]\frac{80}{100} =\frac{x}{60}[/tex]

then, cross multiply and the new equation is

[tex]100x=4800[/tex]

finally, divide by 100 on both sides to isolate the x and you get

x=48

Answer:

i think its b

Step-by-step explanation:

Answer:

Screen record as your parent puts the password in or wipe off your screen and give the parent your phone to put the password in then look at the fingerprint circles and that where each number is, then try all the possible combinations

Step-by-step explanation:

Answer:

all except e

Step-by-step explanation:

Answer:

all of them acept number 1

Step-by-step explanation:

i just want points

Answer: (1, 1), (-8, -2)

Step-by-step explanation:

Let’s start with the first solution: ( , 1)

We know that the y-coordinate for this solution is 1, so we can plug that in to find the x-coordinate.

x - 3y = -2

x - 3(1) = -2

x - 3 = -2

x = -2 + 3

x = 1

Therefore, for this solution x = 1, so our final solution is (1, 1).

Now let’s work on the second solution: (-8, ).

We know that the x-coordinate for this solution is -8, so we can plug that in.

x - 3y = -2

-8 - 3y = -2

-3y = -2 + 8

-3y = 6

y = -2

Therefore, for this solution y = -2, so our final solution (-8, -2).