b²=-10 + 7b
How do I solve this?

Answer:

A) 0.10565

B) 0.33846

C)

Step-by-step explanation:

The length of time that it takes for a ferry to reach a summer resort from the mainland is approximately normally distributed with a mean of 2 hours and a standard deviation of 12 minutes.

Note that, all units must be in minutes

We solve this question using z score formula

= z = (x-μ)/σ

where

x is the raw score

μ is the population mean = 2 hours

Converting to minutes

1 hour = 60 minutes

2 hour = x

Cross Multiply

x = 2 × 60 minutes

x = 120 minutes

Mean = 120 minutes

σ is the population standard deviation = 12 minutes

Over many past trips, what proportion (area) of times has the ferry reaches the island in

A) less than 1 hour, 45 minutes?

Converting 1 hour 45 minutes to minutes

60 minutes = 1 hour

Hence:

60 + 45 minutes = 105 minutes

For x < 105 minutes

= 105 - 120/12

= -1.25

Probability value from Z-Table:

P(x<105) = 0.10565

B) more than 2 hours, 5 minutes?

Converting 2 hours 5 minutes to minutes

Hence:

1 hour = 60 minutes

2 hour = x

Cross Multiply

x = 2 × 60 minutes

x = 120 minutes

Hence:

120 + 5 minutes = 125 minutes

For x < 125 minutes

z = 125 - 120/12

z = 0.41667

Probability value from Z-Table:

P(x<125) = 0.66154

P(x>125) = 1 - P(x<125) = 0.33846

C) between 1 hour, 50 minutes and 2 hours, 20 minutes?

Converting 1 hour, 50 minutes to minutes

= 60 minutes = 1 hour

Hence:

60 + 50 minutes = 110 minutes

For x = 110 minutes

= 110 - 120/12

= -0.83333

Probability value from Z-Table:

P(x = 110) = 0.20233

Converting 2 hours, 20 minutes to minutes

= 1 hour = 60 minutes

2 hour = x

Cross Multiply

x = 2 × 60 minutes

x = 120 minutes

Hence:

120 + 20 minutes = 140 minutes

For x = 140minutes

z = 140 - 120/12

= 1.66667

Probability value from Z-Table:

P(x = 140) = 0.95221

Answer:

x = 1/20 = 0.050

x = 0

Step-by-step explanation:

either of those

Answer:

Hey bro,

The answer should - 39x i.e minus 39x

Answer:

a) c=33.5

I'll try my best to explain and help you out here! online school sucks, I hope you get the hang of it soon!

Step-by-step explanation:

Simplify both sides of the equation.

c(5)=(35.5)(5)−10

5c=177.5+−10

5c=(177.5 + −10) (Combine Like Terms)

5c=167.5

Divide both sides by 5.

5c/5 = 167.5/5

c=33.5

I'm not entirely sure about the second question but I'll try to figure it out and let you know!

Answer:

Are you doing Pythagorean theorem?

If not, what is your unit topic?

Answer:

Step-by-step explanation:

3. 17

4. 24

5. 24.21

6. 40

7. 15.81

8. 16

Answer:

HALP word is wrong all word is but HALP is wrong.

Answer:

Step-by-step explanation:

y=-1 ans.

x=2*-1=3

x=-2+3

x=1 ans.

Proof:

4*1-5*-1=9

4+5=9

9=9

Answer:

9

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Cause if you draw a square and turn it, its gone be a rhombus

Answer:

True

Step-by-step explanation:

Answer:y =  y = -7x

Step-by-step explanation: y - 14 = -7(x - (-2))

y - 14 = -7x - 14

Answer:

b

Step-by-step explanation:

Answer:

y = 4x + 5

Step-by-step explanation:

First let's find its slope.

(5-9)/(0-1) = 4.

So far, in the equation we have y=4x+b.

As for the y-intercept, the coordinate (0,5) is the y-intercept.

Therefore, the equation in slope intercept form would be y=4x+5.

Answer:

The answer is 68 and 52

Step-by-step explanation:

x + y = 120

3(x - y ) = 48

We have 3x + 3y = 360

and 3x - 3y = 48

Adding we have the following:

6x = 408

x = 68

y = 120-48 = 52

Answer:

28/5

Step-by-step explanation:

Answer:

Yes, only one trial had a result of 19 or larger.

Step-by-step explanation:

The claim reported is that only about half of high school seniors study for upcoming math test. However, at Garfield a sizeable number of the 30 surveyed observation gave a symmetrical distribution about the study pattern of their high school seniors with only one trial a frequency of yes greater than or equal to 19

Answer:

863.5 ft³

Step-by-step explanation:

Given that :

Diameter, d = 10 ft

Height, h = 11 feets

Radius of tank, r = d/ 2 = 10ft / 2 = 5 ft

The volume of a cylinder is calculated using the relation :

Volume = πr²h

Volume = 3.14 * 5^2 * 11

Volume = 3.14 * 25 * 11

Volume = 863.5ft³

Answer: 10.9, about 11 ft

Step-by-step explanation:

a^2 + b^2 = c^2

a^2 + (5)^2 = (12)^2

Answer:

The ladder is the hypotenuse and one side equals 5 feet.

From the Pythagorean Theorem we can calculate the other side:

other side^2 = 12^2 -5^2

other side^2 = 144 -25

other side^2 = 119

other side = 10.9087121146

Rounding, we get 11 feet.

Step-by-step explanation:

Answer: y = -2/3x in standard form is 2x + 3y = 0

Answer:

x + y = -2/3

Step-by-step explanation:

When changing something to standard form, you want all variables on one side, and the remaining numbers gone.

Answer:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

Step-by-step explanation:

The narrator of Fever 1793 helps compendiums imagine Philadelphia summers by describing about mosquitoes, blowflies, and hornets buzzing.

This refers to the liar of an event to talk about an event in the order of circumstance.

Given

The opening judgment of Fever 1793," From the moment Colette Ogilvie passed out, Philadelphia's church bells chimed continuous.

The narrator of Fever 1793 makes it easy for readers to picture her upbringing by expressing her love for the nation, describing how it felt to see her words printed, confessing to counting on her fingers, and describing how it felt to voice her anger with front-of-the-house service.

On the road corners, shots were fired, and a cannon was fired in the public forecourt to clear the air. In addition to that, hornets, blowflies, and mosquitoes swarmed about us continuous.

The noise was annoying." Illustration demonstrates how mosquitoes, blowflies, and hornets agonized Philadelphians with unheroic fever in 1793.

Learn more about Narration here:

https://brainly.com/question/3753537

#SPJ6

Answer: 30.752

Step-by-step explanation:

Answer:

5x/x-2

Step-by-step explanation:

rewrite it as x=2y/y-5 to make y the subject

multiply by (y-5) on both sides to get x(y-5)=2y

simplify x(y-5)=2y to get xy - 5x = 2y.

in order to get y as a subject you would need to move all the (y)s to one side.

Which would leave you with xy - 2y = 5x. you can now make y the subject from here through factorisation : y(x-2)=5x.

Then to finish with y as a subject divide (x-2) on both sides to get the answer which is : y = 5x/x-2

Sorry if this is confusing but this is me explaining how my thought process works for this question.

The inverse of the function will be -

f⁻¹(x) = 5/(1 - 2/x)

Given is f(x) = 2x/(x - 5)

We have -

y = 2x/(x - 5)

replace [x] with [y] as -

x = 2y/(y - 5)

Solving for y -

y/(y - 5) = x/2

(y - 5)/y = 2/x

(y /y - 5/y) = 2/x

(1 - 2/x) = 5/y

y = 5/(1 - 2/x)

f⁻¹(x) = 5/(1 - 2/x)

Therefore, the inverse of the function will be -

f⁻¹(x) = 5/(1 - 2/x)

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

#SPJ2

Answer:

20 bc if 8 men took 10 hours then 4 men would take double the time

Answer:

ha ha is it math question seriously or riddle if riddle the wall is already built by men they non time is taken by men.

Answer:

(1, 2/3) (-1, -1) are the points. use the slope formula to find the slope y2-y1/x2-x1

(-1 - 2/3) / (-1 -1) (answer both sides of the division side)

-5/3 / -2  (divide)

slope = 5/6  (the slope)

plug in values you know into point-slope form (y -y1) = m(x-x1)

y - (-1) = 5/6 (x - (-1) (i chose the easier point to plug in. two neg. make a pos. )

y +1 = 5/6 (x +1)  (use the distributive property)

y +1 = 5/6x+5/6  (subtract 1 from both sides)

y = 5/6x - 1/6  or B (this is the equation)

Step-by-step explanation:

I hope this helped :))

Answer:

(0, -2)

i am pretty sure this is the answer

Given :

The four sides of a garden measure 8 1/3 feet, 17 1/4 feet, 17 1/2 feet, and

11 3/4 feet.

To Find :

The length (in ft) of the fence needed to enclose the garden.

Solution :

First simplifying the given mixed numbers :

8 1/3 = 25/3 feet

17 1/4 = 69/4 feet

17 1/2 = 35/2 feet

11 3/4 = 47/4 feet

Now, length of fence needed to enclose the garden is :

[tex]L = \dfrac{25}{3}+ \dfrac{69}{4}+ \dfrac{35}{2}+ \dfrac{47}{4}\\\\L = \dfrac{(25\times 4)+ ( 69\times 3) + ( 35\times 6) + (47 \times 3 )}{12}\\\\L = \dfrac{658}{12}\ feet[/tex]

Hence, this is the required solution.

Answer:

The given table DOES NOT represent a linear function as there is NO CONSTANT change in x and y values.

Step-by-step explanation:

Given the table

x     -10       -14         -18         -24

y       6         10          16          24

In order to determine whether the table represents the linear function or not, we need to check whether there is constant change in x and y.

It is clear that there is a NO constant change in x

i.e. -14-(-10) = -4, -18-(-14) = -4, -24-(-18) = -6

It is clear that there is a NO constant change in y

i.e. 10-6=4, 16-10 = 6, 24-16 = 8

Therefore, the given table DOES NOT represent a linear function as there is NO CONSTANT change in x and y values.

Answer:

Slope is 2.15

y-intercept is 2

Step-by-step explanation:

We need to find slope and y-intercept of the graph given.

The formula used to find slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

Looking at the graph, we can find 2 points

Point 1 : (0,-2)

Point (2): (2,-2.3)

Now putting values and finding slope:

We have: [tex]x_1=0, y_1=-2, x_2=2, y_2=-2.3[/tex]

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{2.3-(-2)}{2-0}\\ Slope=\frac{2.3+2}{2}\\ Slope=\frac{4.3}{2}\\Slope=2.15[/tex]

So, we get slope = 2.15

Now, finding y-intercept

y-intercept can be found if we put x =0

Looking at the graph, when x =0, y = 2

So, y-intercept is 2

Answer:

C

Step-by-step explanation: