Sandra spins the pointer of a spinner. The spinner has four equal sections labeled 1 to 4. Complete
parts a and b.
a. The probability that the pointer will land on a number less than 5 is _____.
(Type an integer or a fraction.)
b. Complete the sentence to describe the likelihood of landing on a number less than 5.
It is ______
V that the pointer will land on a number less than 5.

Answer:

11.56

Step-by-step explanation:

The area formula is just Length * Height. Since this shape is a square, both the length and height are equivalent to the same thing, 3.4. So, all we have to do is multiply 3.4 * 3.4, or we can do 3.4^2.

Answer:

(a) [tex]A = 1500(1 - e^{-0.01t})[/tex]

(b) [tex]t = 0[/tex]

Step-by-step explanation:

Given

[tex]V= 300gal[/tex] --- Volume of tank

[tex]B = 5lb/gal[/tex] --- Brine solution

[tex]R_1 = 3gal/min[/tex]  --- Rate in, in gallon/min

[tex]R_2 = 6gal/min[/tex] --- Rate out, in gallon/min

Required

Determine A(t)

First, calculate the rate in (R in) and (R out) in lb/min

[tex]R_{in} = B * R_1[/tex]

[tex]R_{in} = 5lb/gal * 3gal/min[/tex]

[tex]R_{in} = 15lb/min[/tex]

R(out) is calculated by multiply the rate at which brine leaves the tank (lb/gal) * R2

So, we have:

[tex]R_{out} = \frac{A(t)}{300} lb/gal * 3gal/min[/tex]

[tex]R_{out} = \frac{3*A(t)}{300} lb/min[/tex]

[tex]R_{out} = \frac{A(t)}{100} lb/min[/tex]

The change in the amount of brin e in the tank at time t is given as:

[tex]A'(t) = R_{in} - R_{out}[/tex]

[tex]A'(t) = 15 - \frac{A(t)}{100}[/tex]

Rewrite:

[tex]\frac{dA}{dt} = 15 - \frac{A}{100}[/tex]

Multiply through by dt

[tex]dA = [15 - \frac{A}{100}]* dt[/tex]

Make dt stand alone

[tex]\frac{dA}{15 - \frac{A}{100}} = dt[/tex]

[tex]ln|15 - \frac{A}{100}| = -0.01t + ln\ c[/tex]

Express as exponents

[tex]15 - \frac{A}{100} = ce^{-\frac{t}{100}}[/tex]

Multiply through by 100

[tex]1500 - A = 100ce^{-\frac{t}{100}}[/tex]

[tex]A = 1500 - 100ce^{-\frac{t}{100}}[/tex]

[tex]A = 1500 - 100ce^{-0.01t}[/tex]

Apply initial conditions

[tex]A(0) = 0[/tex]

Substitute 0 for t in: [tex]A = 1500 - 100ce^{-0.01t}[/tex]

[tex]0 = 1500 - 100ce^{-0.01*0}[/tex]

[tex]0 = 1500 - 100ce^{0}[/tex]

[tex]0 = 1500 - 100c[/tex]

[tex]100c = 1500[/tex]

[tex]c = 15[/tex]

Substitute 15 for c in [tex]A = 1500 - 100ce^{-0.01t}[/tex]

[tex]A = 1500 - 100*15e^{-0.01t}[/tex]

[tex]A = 1500 - 1500e^{-0.01t}[/tex]

Factorize:

[tex]A = 1500(1 - e^{-0.01t})[/tex]

How long to empty the tank

Set A to 0

[tex]1500(1 - e^{-0.01t}) = 0[/tex]

Divide through by 1500

[tex]1 - e^{-0.01t} = 0[/tex]

Collect Like Terms

[tex]e^{-0.01t} = 1[/tex]

Take ln of both sides

[tex]ln\ (e^{-0.01t}) = ln\ 1[/tex]

[tex]-0.0t = 0[/tex]

[tex]t = 0[/tex]

Answer:

it is the last graph/D

Step-by-step explanation:

Answer:

B) 100[tex]\pi[/tex] ft²

Step-by-step explanation:

The area of a circle is pi r-squared.  The radius is half the diameter, so it would be:

[tex]\pi[/tex](10)² = 100[tex]\pi[/tex]

Answer:

a. 12(Nm)

b. anticlockwise

Step-by-step explanation:

Moment = force applied * distance

Answer:

the answer is 558175

may it help you

Answer:

Yes

Step-by-step explanation:

Answer:

y = -3x + 5

Step-by-step explanation:

Since the y-intercept occurs at the point (0,5), you can use that and the point slope equation to find the equation.

This looks like y - 5 = -3 (x - 0);

Solving for y, you get y = -3x + 5;

To graph this equation you would put one point at (0,5), then use the slope to count down three and to the left one to find other points, or you could just plug in numbers for x to find their corresponding y values and plot it like that.

Hopefully this helps- let me know if you have any questions!

Answer (assuming it can be in slope-intercept form):

[tex]y =2x[/tex]  

Step-by-step explanation:

1) First, find the slope of the line. Use the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of the given points into the formula and solve:

[tex]m = \frac{(8)-(2)}{(4)-(1)} \\m = \frac{8-2}{4-1} \\m = \frac{6}{3} \\m = 2[/tex]

So, the slope is 2.  

2) Now, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to write the equation of the line in point-slope form. Substitute real values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex].

Since [tex]m[/tex] represents the slope, substitute 2 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, choose one of the given points (it doesn't matter which one, the results will equal the same thing) and substitute its x and y values into the formula as well. (I chose (1,2), as seen below.) Then, isolate y to put the equation in slope-intercept form ([tex]y = mx + b[/tex] format) and find the following answer:

[tex]y-(2) = 2 (x-(1))\\y-2 = 2(x-1)\\y -2 = 2x-2\\y = 2x+0\\y = 2x[/tex]

Answer:

6x + 12 - (3x - 7)

6x + 12 - 3x + 7

3x + 19

Step-by-step explanation:

Simplifying

6x + 13 + -3x + -7 = 0

Reorder the terms:

13 + -7 + 6x + -3x = 0

Combine like terms: 13 + -7 = 6

6 + 6x + -3x = 0

Combine like terms: 6x + -3x = 3x

6 + 3x = 0

Solving

6 + 3x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.

6 + -6 + 3x = 0 + -6

Combine like terms: 6 + -6 = 0

0 + 3x = 0 + -6

3x = 0 + -6

Combine like terms: 0 + -6 = -6

3x = -6

Divide each side by '3'.

x = -2

Simplifying

x = -2

Answer:

4 i believe

Step-by-step explanation:

Im so sorry if this is wrong and for being late

The time taken by the cell phone battery to charge 100% is 5 hours.

A linear equation is defined as a equation that has either one or two variables without exponents. A linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.

For the given situation,

The equation is y = 0.21x.

The time taken by the cell phone battery to charge to 100%,

⇒ [tex]100\% = 0.21x[/tex]

⇒ [tex]100\%=1[/tex]

Thus, [tex]1=0.21x[/tex]

⇒ [tex]x=\frac{1}{0.21}[/tex]

⇒ [tex]x=4.76[/tex] ≈ [tex]5[/tex]

Hence we can conclude that the time taken by the cell phone battery to charge 100% is 5 hours.

Learn more about linear equations here

https://brainly.com/question/10439298

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Answer:

1=2(4)+b

Step-by-step explanation:

slope intercept looks like this y=mx(or y=#x+#

if the slope is 2 the equation will be y=2x+b

to find b so x=4 and y=1 we can plug those numbers into the equation to find b

Answer:

-4/7

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(1-5)/(9-2)

m=-4/7

The farm raises some rabbits and native chickens. The number of native chickens is six times the number of rabbits, with a total of 560 feet. farm

Raised ? rabbit.​

Answer:

A

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Linear growth has the characteristic of growing by the same amount in each unit of time.

Answer:

3 bags of topsoil is needed

Step-by-step explanation:

base = 20m

height = 6 m

Area of flower bed = [tex]\frac{1}{2}*base*height\\[/tex]

                               [tex]= \frac{1}{2}*20*6\\\\= 10*6\\= 60 square feet[/tex]

Number of bags= Total area of flower bed ÷ 20

                          = 60 ÷ 20

                          = 3

Answer:

the length of the pole is 9.90 feet.

Step-by-step explanation:

Answer:

greater than 1

Step-by-step explanation:

A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers.

Step-by-step explanation:

prime numbers are numbers that have exactly two factors . 1 and the number itself.

Answer:

The amount to be returned at Finance company B is less than that of Finance company A so it is profitable to take the loan from Finance company B.

Step-by-step explanation:

★ Finance company A :

A = 75,000 (1 + 0.1)²

A = 75,000 × 1.21

A = 90,750

★ Finance company B :

A = 75,000 (1 + 0.04)⁴

A = 75,000 × 1.16986

A = 87,739.5

Answer:

v=20

Step-by-step explanation:

multiply both sides by 4

1/4*4=1

5*4=20

Answer:

[tex]1124.28 \text { to } 1220.94[/tex]

Step-by-step explanation:

A 99% confidence interval for the mean sodium content in Oriental Spice Sauce is,

First, compute t -critical value then find confidence interval.

The t critical value is,

The sample size is small and two-tailed test. Look in the column headed [tex]\alpha=0.01[/tex] and the row headed in the t distribution table by using degree of freedom is,

 d . f . =n-1

=170-1  

=169

The t critical value is 2.605 .

[tex]99 \% \text { C.I. } &=\bar{x} \pm t_{c} \times s / \sqrt{n}[/tex]

[tex]=1172.61 \pm 2.605 \times 241.88 / \sqrt{170}[/tex]

[tex]=1172.61 \pm 48.33[/tex]

[tex]=1124.28 \text { to } 1220.94[/tex]

A [tex]99%[/tex]confidence interval for the mean sodium content in Oriental Spice Sauce is  

[tex]1124.28 \text { to } 1220.94[/tex]

Answer:

9ft

Step-by-step explanation:

because take 6 and add 9 to it to make 15

Answer:

Following are the Arithmetic Operators available in Rexx. Operator, Description, Example. +, Addition of two operands, 1 + 2 will give 3

Step-by-step explanation:

Answer:

y = -3x-1

Step-by-step explanation:

all u had to do was plug it into y = mx+b

The volume of the solid figure is the amount of space in it

The volume of the solid figure is 448 cubic inches

For the first rectangular solid, we have:

So, the volume is:

Volume = 5 * 4  * 16 cubic inches

Volume = 320 cubic inches

For the second rectangular solid, we have:

So, the volume is:

Volume = 8 * 4  * 4 cubic inches

Volume = 128 cubic inches

The volume of the solid figure is then calculated as:

Volume = 320 cubic inches + 128 cubic inches

Volume = 448 cubic inches

Hence, the volume of the solid figure is 448 cubic inches

Read more about volumes at:

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Answer:

320 and 448

Step-by-step explanation:

Answer:

30 minutes

Step-by-step explanation:

rate = 2/12 =   1 mile/6minutes

d = rt

5 = 1/6t

t= 5/(1/6)

t = 30 minutes