Suppose the following items were on a menu:_________.
a. Soup - Miso(M) or Lentil Bean (L)
b. Salad - Fresh Greens (G) or Fruit (F)
c. Entrees - Pasta Primavera (P) or Black Bean Burger (B)
If we are to select one of each (soup, salad, entrée), what is the sample space? (show all of the combinations, like in a tree diagram or using the 3 letters)

Answer:

See steps

Step-by-step explanation:

Volume of cubes is proportional to the cube of the side length.

Using proportions,

Volume of smaller cube / 1728 = (3/4)^3

Cross multiply,

Volume of smaller cube

= 1728 * (3/4)^3

= 1728 * (27/64)

= 729 cubic metres.

Note: all cubes are similar and each has 6 congruent faces.

Answer:

z = -1.66

Step-by-step explanation:

Z-statistic:

[tex]z = \frac{X - p}{s}[/tex]

In which X is the found proportion.

p is the mean proportion.

[tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex] is the standard error for the data.

Out of 593 students who replied to her survey, 64 fit this criterion.

This means that [tex]X = \frac{64}{593} = 0.108[/tex]

She finds that the proportion of binge drinkers nationally is 13.1%.

This means that [tex]p = 0.131[/tex]

Also

[tex]s = \sqrt{\frac{0.131*0.869}{593}} = 0.014[/tex]

The z statistic for this data is

[tex]z = \frac{X - p}{s}[/tex]

[tex]z = \frac{0.108 - 0.131}{0.014}[/tex]

[tex]z = -1.66[/tex]

Answer:

a) diagonal box = 12.9 in

b) diagonal base = 8.2 in

Step-by-step explanation:

w = 8 in

h = 10 in

L = 2 in

required:

a) diagonal of the box

b) diagonal of its base

referring into the attached image

a) the diagonal of the box = sqrt ( w² + h² + L²)

  diagonal box = sqrt (8² + 10² + 2²)

  diagonal box = 12.9 in

b) diagonal of its base = sqrt ( w² + L²)

   diagonal base = sqrt ( 8² + 2²)

   diagonal base = 8.2 in

Answer:

The corresponding definite integral may be written as

[tex]\int_a^b \mathrm{(4x + 11)}\,\mathrm{d}x[/tex]

The answer of the above definite integral is

[tex]\int_a^b \mathrm{(4x + 11)}\,\mathrm{d}x = 98[/tex]

Step-by-step explanation:

The given limit interval is

[tex]\lim_{||\Delta|| \to 0} \sum\limits_{i=1}^n (4c_i + 11) \Delta x_i[/tex]

[tex][a, b] = [-8, 6][/tex]

The corresponding definite integral may be written as

[tex]\int_a^b \mathrm{(4x + 11)}\,\mathrm{d}x[/tex]

[tex]\int_{-8}^6 \mathrm{(4x + 11)}\,\mathrm{d}x[/tex]

Bonus:

The definite integral may be solved as

[tex]\int_{-8}^6 \mathrm{(4x + 11)}\,\mathrm{d}x \\\\\frac{4x^2}{2} + 11x \left \|{b=6} \atop {a=-8}} \right. \\\\2x^2 + 11x \left \|{b=6} \atop {a=-8}} \right. \\\\ 2(6^2 -(-8)^2 ) + 11(6 - (-8) \\\\2(36 - 64 ) + 11(6 + 8) \\\\2(-28 ) + 11(14) \\\\-56 +154 \\\\98[/tex]

Therefore, the answer to the integral is

[tex]\int_a^b \mathrm{(4x + 11)}\,\mathrm{d}x = 98[/tex]

Answer:

Step-by-step explanation:

Just definitions :)

Hope it helps <3

Answer:

the second one

Step-by-step explanation:

We can see that the fence is made by a rectangle and a trapezoid

A1 is the area of the rectangle and A2 is the area of the trapezoid

Answer:

d. 2250.

Step-by-step explanation:

The calculation of mean square due to error (MSE) is shown below:-

Since there are four treatments i.e H0: μ1 = μ2 = μ3 = μ4

And, the SSTR is 6,750

Based on this, the mean square due to error is  

= [tex]\frac{SSTR}{n-1}[/tex]

[tex]= \frac{6,750}{4-1}[/tex]

= [tex]\frac{6,750}{3}[/tex]

= 2,250

Hence, the mean square due to error is 2,250

Therefore the correct option is d.

All the other information is not relevant. Hence ignored it

Answer:

19/9 because it equals to 2.111..  Which is greater than 1

Step-by-step explanation:

By the way if it's right can i get brainliest.

Answer:

1 < 19/9

Step-by-step explanation:

1  vs 19/9

Rewriting 19/9 as 9/9 + 9/9+ 1/9

1 vs 1+1 +1/9

1 vs 2 1/9

1 < 19/9

Answer:

The formula is 10 - 3n

Step-by-step explanation:

For an nth term in an arithmetic sequence

U( n ) = a + ( n - 1)d

Where n is the number of terms

a is the first term

d is the common difference

From the sequence above

a = 7

d = 4 - 7 = - 3

The formula for an nth term is

U(n) = 7 + (n - 1)-3

= 7 - 3n + 3

The final answer is

= 10 - 3n

Hope this helps you.

Answer:

225

Step-by-step explanation:

Answer:

225

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

hello

[tex]6(x+5)=6x+11\\<=> 6x+30=6x+11\\<=> 30=11[/tex]

this is always false so there is no solution

Let's to expand this equation:

[tex]6(x+5) = 6x+11\\6x + 6\times 5 = 6x + 11\\6x + 30 = 6x + 11[/tex]

Perceive that in two members of equations, we have "6x", so we can to eliminate it. But, when we make it, we have this situation:

[tex]6x + 30 = 6x + 11\\30 = 11[/tex]

How [tex]30 \neq 11[/tex] this is a absurd. Therefore, this equation don't have solutions.

Answer:

5 [tex]\frac{1}{3}[/tex], 10 [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

There is a common ratio r between consecutive terms, that is

[tex]\frac{2}{3}[/tex] ÷ [tex]\frac{1}{3}[/tex] = 1 [tex]\frac{1}{3}[/tex] ÷ [tex]\frac{2}{3}[/tex] = 2 [tex]\frac{2}{3}[/tex] ÷ 1 [tex]\frac{1}{3}[/tex] = 2

Thus to obtain a term in the sequence multiply the previous term by 2, thus

a₅ = [tex]\frac{8}{3}[/tex] × 2 = [tex]\frac{16}{3}[/tex] = 5 [tex]\frac{1}{3}[/tex]

a₆ = [tex]\frac{16}{3}[/tex] × 2 = [tex]\frac{32}{3}[/tex] = 10 [tex]\frac{2}{3}[/tex]

Answer:

$341.00

Step-by-step explanation:

"$ 18.00 each month."

$18.00*$12.00=$216.00

$216.00+$125.00=$341.00

hope this helpes

be sure to give brainliest

Answer:

Richard will have $60,000 in his account in 20 years.

Step-by-step explanation:

(1) Multiply $250 x 12

(2) Multiply the answer of $250 x 12 which is 3000 by 20

(3) Final answer would be $60,000

Answer:

sqrt(70)/7

Step-by-step explanation:

sqrt(10/7)

sqrt ( a/b) = sqrt(a)/ sqrt(b)

sqrt(10) / sqrt(7)

But we don't leave a sqrt in the denominator, so multiply by sqrt(7) /sqrt(7)

sqrt(10) /sqrt(7) * sqrt(7) / sqrt(7)

sqrt(70)/ sqrt(49)

sqrt(70)/7

Answer:

Y=1/4x-4

Explanation: The y intercept is -4 that is your B. Using the rise over sun method the line rises 1 and goes to the right 4 making the slope 1/4 or .25

Answer:

c = 20.5x + 5.59

Step-by-step explanation:

c = mx + b

c = mx + 5.59

108.09 = m(5) + 5.59

5m = 102.5

m = 20.5

c = 20.5x + 5.59

Answer:

61,925 miles

Step-by-step explanation:

Given :

The p-value of the tires to outlast the were warranty were given in the the question as = 0.96

Checking the normal distribution table, The probability that corresponds to 0.96

from the Normal distribution table is 1.75.

Mean : 'μ'= 60000 miles

Standard deviation : σ=1100

The formula for z-score is given by

: z= (x-μ)/σ

1.75=(x-60000)/1100

1925=x-60000

x=61925

Therefore, the tread life of tire should be 61,925 miles if they want 96% of the tires to outlast the warranty.

Answer:

9/24 or 37.5%

hope this helps :)

Hi,  

first thing you must do with a  probability problem is to count how many thing you have in your universe.

Here we are dealing with sweets. So let's count  :  5 +4+8+4+3 = 24  

and there is  5 yellow  so probability to pick up a yellow is  5/24

and there is 4 orange  so probabilitu to pick up a orange is  4/24

To say  :   Ola will pick orange or  yellow  mean  if she pick either one of the two sort is good.  So you add the proba of each :   5/24 +4/24 = 9/24

and then you must reduce if you can :   9/24 = 3*3 /8*3 =  3/8

So the probability that Ola pick a  yellow or orange sweet is  3/8 = 0.375

Answer:

24*26= 624 students

hope this helps!

Answer:

624 seats

Step-by-step explanation:

Total classrooms = 24

Each classroom has seats = 26

Total Number of seats = 24*26

=> 624 seats

Answer:

D

Step-by-step explanation:

We can plug in the numbers (15, 23, 25, 38, 53) into the equation for x, and see if we get the values given for the number of hits (4, 12, 14, 27, 47)

Answer:

It would take 1 more mile if he took route Street A and then Street B rather than just Street C.

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

We use the Pythagorean Theorem to find the length of Street C:

2² + 1.5² = c²

c = √6.25

c = 2.5

Now we find how much longer route A and B is compared to C:

3.5 - (2 + 1.5) = 3.5 - 2.5 = 1

Answer:

Let's list out the points that belong to T. They are T{(-1, -4), (2, 2), (2, -3)}.

The domain is all of the x values. Therefore the domain is {-1, 2}.

The range is all of the y values. Therefore the range is {-4, -3, 2}.

We don't use ( ) or [ ] because T is a discrete relation.

Answer:

Step-by-step explanation:

(4+1)/(-3-4)= -5/7

y + 1 = -5/7(x - 4)

or

y - 4= -5/7(x + 3)

Answer:

[tex]\boxed{\sf \ \ \ ax^2+bx^{-10} \ \ \ }[/tex]

Step-by-step explanation:

Hello,

let's follow the advise and proceed with the substitution

first estimate y'(x) and y''(x) in function of y'(t), y''(t) and t

[tex]x(t)=e^t\\\dfrac{dx}{dt}=e^t\\y'(t)=\dfrac{dy}{dt}=\dfrac{dy}{dx}\dfrac{dx}{dt}=e^ty'(x)<=>y'(x)=e^{-t}y'(t)\\y''(x)=\dfrac{d^2y}{dx^2}=\dfrac{d}{dx}(e^{-t}\dfrac{dy}{dt})=-e^{-t}\dfrac{dt}{dx}\dfrac{dy}{dt}+e^{-t}\dfrac{d}{dx}(\dfrac{dy}{dt})\\=-e^{-t}e^{-t}\dfrac{dy}{dt}+e^{-t}\dfrac{d^2y}{dt^2}\dfrac{dt}{dx}=-e^{-2t}\dfrac{dy}{dt}+e^{-t}\dfrac{d^2y}{dt^2}e^{-t}\\=e^{-2t}(\dfrac{d^2y}{dt^2}-\dfrac{dy}{dt})[/tex]

Now we can substitute in the equation

[tex]x^2y''(x)+9xy'(x)-20y(x)=0\\<=> e^{2t}[ \ e^{-2t}(\dfrac{d^2y}{dt^2}-\dfrac{dy}{dt}) \ ] + 9e^t [ \ e^{-t}\dfrac{dy}{dt} \ ] -20y=0\\<=> \dfrac{d^2y}{dt^2}-\dfrac{dy}{dt}+ 9\dfrac{dy}{dt}-20y=0\\<=> \dfrac{d^2y}{dt^2}+ 8\dfrac{dy}{dt}-20y=0\\[/tex]

so the new equation is

[tex]y''(t)+ 8y'(t)-20y(t)=0[/tex]

the auxiliary equation is

[tex]x^2+8x-20=0\\<=> x^2-2x+10x-20=0\\<=>x(x-2)+10(x-2)=0\\<=>(x+10)(x-2)=0\\<=> x=-10\text{ or }x=2[/tex]

so the solutions of the new equation are

[tex]y(t)=ae^{2t}+be^{-10t}[/tex]

with a and b real

as

[tex]x(t)=e^t\\<=> t(x)=ln(x)[/tex]

[tex]y(x)=ae^{2ln(x)}+be^{-10ln(x)}=ax^2+bx^{-10}[/tex]

hope this helps

do not hesitate if you have any questions

Answer:

[tex]6\frac{1}{3}[/tex]

Step-by-step explanation:

You can divide 19 by 3 a total of 6 times with a remainder of 1.  

Answer:

work is shown and pictured

Answer:

Answer B. (6, 2)

Hope it works!

Step-by-step explanation:

Answer:

The mean of 50 mg/liter is not inside the 99% interval, so there is not enough evidence to support their claim.

Step-by-step explanation:

First we need to find the z-value for a confidence of 99%

The value of alpha for a 99% confidence is:

[tex]1-\alpha/2 = 0.99[/tex]

[tex]\alpha/2 = 0.01[/tex]

[tex]\alpha = 0.005[/tex]

Looking in the z-table, we have z = 2.575.

Now we can find the standard error of the mean:

[tex]\sigma_{\bar{x} }= s_x/\sqrt{n}[/tex]

[tex]\sigma_{\bar{x} }= 14.4/\sqrt{100}[/tex]

[tex]\sigma_{\bar{x} }=1.44[/tex]

Finding the 99% confidence interval, we have:

[tex]99\%\ interval = (\bar{x} - z\sigma_{\bar{x}}, \bar{x} + z\sigma_{\bar{x}})[/tex]

[tex]99\%\ interval = (32.2 - 2.575*1.44, 32.2 + 2.575*1.44)[/tex]

[tex]99\%\ interval = (28.492, 35.908)[/tex]

The mean of 50 mg/liter is not inside the 99% interval, so there is not enough evidence to support their claim.

Answer:

21.84 years

Step-by-step explanation:

From the compound interest formula;

F = P(1+r)^t .......1

ln(F/P) = tln(1+r)

t = ln(F/P)/ln(1+r) .......2

Where;

F = Final value = $45,117

P = Initial value = $15,540

r = rate = 5% = 0.05

t = time

Substituting the values into equation 2;

t = ln(45117/15540)/ln(1.05)

t = 21.84542292124 years

t = 21.84 years

It will take Bob 21.84 years

The order to us solve is:

Let's go:

[tex]25(1.2\times 3 - 1.25) + 3.45\\25(3.6-1.25)+3.45\\25\times 2.35 + 3.45\\58.75+3.45\\62.2[/tex]

Therefore, the result is 62.2.

Answer:

4.0375

Step-by-step explanation:

.25(3.6-1.25)+3.45

.25(2.35)+3.45

.5875+3.45

4.0375

HOPE  THIS HELPS:)