The owner of a restaurant serving Continental-style entrees was interested in studying ordering patterns of patrons for the Friday-to-Sunday weekend time period. Records were maintained that indicated the demand for dessert during the same time period. The owner decided to study two other variables, along with whether a dessert was ordered: the gender of the individual and whether a beef entrée was ordered. The results are as follows:


GENDER
DESSERT ORDERED Male Female Total
Yes 96 40 136
No 224 240 464
Total 320 280 600


BEEF ENTRÉE

DESSERT ORDERED Yes No Total
Yes 71 65 136
No 116 348 464
Total 187 413 600


A waiter approaches a table to take an order. What is the probability that the first customer to order at the table
a. orders a dessert?
b. orders a dessert or a beef entrée?
c. is a female and does not order a dessert

Answer:

+2

Step-by-step explanation:

Answer:

Since the order of choice matters, we will permute the values.                       a bit more explanation for this:

If the order of choice did NOT matter, ABC and BCA will be counted as one since order of choice does NOT matter

Since order of choice does matter, ABC , BCA and CAB are all different possibilities for the arrangement of the same 3 letters

Since we have 3 slots:

___  ___ ___

Now, for the first slot. You can out either one if the 4 alphabets in the first slot since no slot has been used as of now

So:

_4_ ___ ___

**Keep in mind that the 4 is the possible number of values this slot can have**

Now that one slot has been used, one of the 4 alphabets has been used and since we are not allowed to repeat the same alphabets, we are left with  3 more alphabets

we can put any one of the 3 alphabets in this second slot, Hence:

_4_ _3_ ___

Now that 2 of the 4 alphabets have been used, we are left with only 2 alphabets, so there are only 2 possible alphabets for slot 3

Therefore:

_4_ _3_ _2_

Now that we know the possible alphabets for all 3 slots, we will multiply them with each other to get the total possible number of 3 - alphabet words we can make with 4 alphabets

Total possible words = 4 * 3 * 2

Total possible words = 24

We could've used the formula for Permutation as well

Answer:

91%

Step-by-step explanation:

Answer:

91%

Step-by-step explanation:

Count the white blocks: 9

and subtract them from the blue blocks: 100 - 9 = 91%

Answer:

Time of Death = 2 : 49 : 45 AM

Step-by-step explanation:

The formula for Newton's Law of Cooling is written as follows:

dT/dt = - K(T - Ts)

where,

dT = change in temperature

dt = time interval

K = cooling constant

T = Final Temperature of object

Ts = Surrounding Temperature

First, we will use the data of cooling of body from 28°C to 27°C to find the cooling constant of the body:

dT = 27°C - 28°C = -1°C

dt = 1 hr = 3600 s

K = ?

T = 27°C

Ts = 22°C

Therefore,

-1 °C/3600 s = - K(27 °C - 22 °C)

K = 1 °C/(3600 s)(5 °C)

K = 5.55 x 10⁻⁵ /s

Now, we use data for cooling of body from 37 °C to 28 °C to find the time of death:

dT = 28°C - 37°C = -5°C

dt = ?

K = 5.55 x 10⁻⁵ /s

T = 28°C

Ts = 22°C

Therefore,

- 5 °C/dt = - (5.55 x 10⁻⁵ /s)(28 °C - 22 °C)

dt = 5 °C/(5.55 x 10⁻⁵ /s)(6 °C)

dt = 1.5 x 10⁴ s

dt = 4.17 h = 4 h 10 min 15 s

Therefor,

Time of Death = 7 : 00 : 00 AM - 4 : 10 : 15

Time of Death = 2 : 49 : 45 AM

Answer:

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

because 8/10 divided by 1/5 equals 4

Answer:

the anwser may eather be C or A

Step-by-step explanation:

i know this because if you read this the other two B and D dont entirly make scence and if those are not the correct answer i am sorry

i'm just explaining how i got this answer

Answer:

19

√

5

+

45

Step-by-step explanation:

Multiply:

√

2

⋅

√

6

.

Multiply:

3

√

9

⋅

3

√

6

.

2

√

3

⋅

5

√

2

.

Answer

[tex]21[/tex]/6  write the square root sign with 21 inside /6  (I cant make the sign

[tex]\sqrt{x} 3[/tex]/6 x 7

[tex]\sqrt{x} 3[/tex][tex]\sqrt{x} 7[/tex] /6    TAKE THE X's OUT) ok i cant make the sign  alone Draw a line

                      and put the 6 under the 3 and 7

[tex]3 x 7[/tex] /6            Put the 3x7 under one square root sign /over 6

21/6                Put the 21 inside the square root sign / over 6

Step-by-step explanation:

does that make sense?  i cant make the square root symbol  so dont put the x's with the numbers

Answer: Prime factorization: 23 is prime. The exponent of prime number 23 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 23 has exactly 2 factors.

Step-by-step explanation: Hopefully this helped!

The prime factorization of 23 is 23 × 1. It is already in its simplest form and cannot be expressed as a product of smaller prime factors.

To determine the prime factorization of a number, we check if it is divisible by prime numbers starting from 2. If it is divisible, we continue dividing until we reach the smallest prime factors. However, in the case of 23, it is not divisible by any number other than 1 and 23.

⇒ 23 × 1

The prime factorization of 23 is simply 23 itself. A prime number is a number that is only divisible by 1 and itself, and 23 satisfies this condition. It cannot be further broken down into smaller prime factors.

Therefore, the prime factorization of 23 is 23.

Learn more about Prime Factorization here:

brainly.com/question/4184435

#SPJ6

Answer:

20.80 grams

Step-by-step explanation:

This is a possible answer because 20.80 is directly in between the decimals 20.78 and 20.82

8

I think

Hope this helps

Answer:

Reject H₀. There is a significant difference in drug resistance between the two states.

Step-by-step explanation:

In this case we need to determine whether the data suggest a statistically significant difference between the proportions of drug-resistant cases in the two states.

The significance level of the test is, α = 0.02.

(1)

The hypothesis can be defined as follows:  

H₀: There is no difference between the proportions of drug-resistant cases in the two states, i.e. [tex]p_{1} - p_{2}= 0[/tex].  

Hₐ: There is a statistically significant difference between the proportions of drug-resistant cases in the two states, i.e. [tex]p_{1} - p_{2}\neq 0[/tex].  

(2)

Compute the sample proportions and total proportion as follows:

[tex]\hat p_{1}=\frac{12}{189}=0.063\\\\\hat p_{2}=\frac{8}{429}=0.019\\\\\hat p=\frac{12+8}{189+429}=0.032\\[/tex]

Compute the test statistic value as follows:

[tex]Z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat p(1-\hat p)\times [\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}[/tex]

   [tex]=\frac{0.063-0.019}{\sqrt{0.032(1-0.032)\times [\frac{1}{189}+\frac{1}{429}]}}\\\\=2.86[/tex]

The test statistic value is 2.86.

(3)

The decision rule is:

The null hypothesis will be rejected if the p-value of the test is less than the significance level.

Compute the p-value as follows:

[tex]p-value=2\cdot P(Z>2.86)=2\times 0.00212=0.00424[/tex]

p-value = 0.00424 < α = 0.02.

The null hypothesis will be rejected at 0.02 significance level.

Reject H₀. There is a significant difference in drug resistance between the two states.

Answer:

the answer is 104,000

Step-by-step explanation:

sian needs to use the 5 in the hundreds place holder to round the 3 in the thousands face holder to 4.

hope this helps.

Answer:

its d holly is incorrect the decimal part follows a pattern but does not actully reapeat

Step-by-step explanation:

Answer:

g(h(x))

Step-by-step explanation:

g(h(x))=

[tex](5 \div 3)( (- 12) {x}^{2} - 6x) + 1 = \\ (5 \times( - 12) {x}^{2} ) \div 3 - (5 \times 6x) \div 3 + 1 = \\ (5 \times (- 4) {x}^{2} ) -( 5 \times 3x) + 1 = \\ - 20 {x}^{2} - 15x + 1[/tex]

Answer:

$308

Step-by-step explanation:

Easy, find how much is earned in 1 hour. Therefore 70/5 = 14 dollars per hour

and multiply the amount of hours work therefore 14 times 22 = $308

Answer:

308

Step-by-step explanation:

Because if you have 70$ in 5 hours

it means that you have 14$ every hours

so, you have 308$ in 22 hours

22x14=308

Answer:

4.27 x [tex]10^{5}[/tex]

Step-by-step explanation:

The whole digit cannot go past 10 or be less than 1:

1 - 10 is the numbers of its max.

427,000

We would move the decimal point between 4 and 2 making:

4.2700

(Originally the decimal point moved 5 places because 427,000 is a whole number, which means the decimal point would be considered at the end, as shown below)

427,000.

By moving 5 places to the left this will be part of your: scientific notation as

___ x [tex]10^{5}[/tex]

(Then plug in 4.27 in front of your notation)

4.27 x [tex]10^{5}[/tex]

That is your answer!

Answer:

Step-by-step explanation:

From the given question:

The slope is expressed as;

[tex]\thteta (x) = \dfrac{dy}{dx} - - (1)[/tex]

[tex]\thteta (x) = \dfrac{dy}{dx}\left \{ {{\dfrac{y(x+b)-y(x)}{h} \ \ \to approximate} \atop {\dfrac{1}{100}}(-4+4x-3x^2+2x^3) \ \to \ exact } \right.[/tex]

∴

[tex]\theta (x) _{approximate} = \dfrac{y(1+0.3)-y(1)}{0.3}[/tex]

[tex]\theta (x) _{approximate} = \dfrac{y(1.3)-y(1)}{0.3}[/tex]

[tex]\theta (x) _{approximate} = -2.965 \times 10^{-5}[/tex]

[tex]\theta(x)_{exact} = \dfrac{1}{100}(-4+4-3+2)[/tex]

[tex]\theta(x)_{exact} = -0.01[/tex]

Finally, the true percent relative error TPRE is:

[tex]TPRE= \dfrac{ | \theta(x)_{approximate} -\theta (x)_{exact} }{\theta (x)_{exact} }\times 100\%[/tex]

[tex]TPRE= \dfrac{ 2.965 \times 10^5 --0.01}{-0.01}\times 100\%[/tex]

TPRE = 70..35%

Answer:

-24

Step-by-step explanation:

Answer:

-18 feet below sea level

Step-by-step explanation:

Take 6 multiply by 3 then turn into a negative

Answer:

I think you would just multiply by -4

Step-by-step explanation:

3 x -4 = -12

-12 x -4 = 48

48 x -4 = -192

Please let me know if I've done anything wrong!

Answer:W0t thu Ars £init

Step-by-step explanation:

Answer:

53 centimeters

Step-by-step explanation:

she uses 30.24 wire so subtract that from 83.21 then round that answer which was 52.97 to 53

Answer:

6

Step-by-step explanation:

30divided by 5 =6

Answer:

30 divided by 5= 6

Step-by-step explanation:

30 balls in total and 5 groups with 6 in each group

oooooo oooooo

oooooo oooooo

oooooo

Answer:

y intercept is 4

Step-by-step explanation:

Answer:

All answers EXCEPT answer C. are perfect square trinomials.

Step-by-step explanation:

A perfect square trinomial is polynomial that satisfies the following condition:

[tex](a+b)^{2} = a^{2}+2\cdot a \cdot b + b^{2}[/tex], [tex]\forall\,a,b\in\mathbb{R}[/tex]

Let prove if each option observe this:

a) [tex]4\cdot x^{2} + 12\cdot x\cdot y + 9\cdot y^{2}[/tex]

1) [tex]4\cdot x^{2} + 12\cdot x\cdot y + 9\cdot y^{2}[/tex] Given

2) [tex](2\cdot x)^{2}+ 2\cdot (2\cdot x)\cdot (3\cdot y)+(3\cdot y)^{2}[/tex] Definition of power/Distributive, associative and commutative properties.

3) [tex]a = 2\cdot x[/tex], [tex]b = 3\cdot y[/tex] Definition of perfect square trinomial/Result.

b) [tex]9\cdot a^{2}-36\cdot a + 36[/tex]

1) [tex]9\cdot a^{2}-36\cdot a + 36[/tex] Given.

2) [tex](3\cdot a)^{2}-2\cdot (3\cdot a)\cdot 6 + 6^{2}[/tex] Definition of power/Distributive, associative and commutative properties.

3) [tex]a = 3\cdot a[/tex], [tex]b = 6[/tex] Definition of perfect square trinomial/Result.

c) [tex]x\cdot y^{2}-4\cdot x^{2}\cdot y^{2}+4\cdot x^{2}\cdot y^{2}[/tex]

1) [tex]x\cdot y^{2}-4\cdot x^{2}\cdot y^{2}+4\cdot x^{2}\cdot y^{2}[/tex] Given

2) [tex]x\cdot y\cdot (1-4\cdot x+4\cdot x)[/tex] Distributive property.

3) [tex]x\cdot y \cdot 1[/tex] Existence of the additive inverse/Modulative property.

4) [tex]x\cdot y[/tex] Modulative property/Result.

d) [tex]a^{2}\cdot b^{2}+4\cdot a^{3}\cdot b + 4\cdot a^{4}[/tex]

1) [tex]a^{2}\cdot b^{2}+4\cdot a^{3}\cdot b + 4\cdot a^{4}[/tex] Given

2) [tex](a\cdot b)^{2}+2\cdot (a\cdot b)\cdot (2\cdot a^{2})+(2\cdot a^{2})[/tex] Definition of power/Distributive, associative and commutative properties.

3) [tex]a = a\cdot b[/tex], [tex]b = 2\cdot a^{2}[/tex] Definition of perfect square trinomial.

All answers EXCEPT answer C. are perfect square trinomials.

Answer:

184320 Cubic Cenimeters

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

27 x -5 = -135

Answer: A

Step-by-step explanation: Hope I helped you.

Answer:

he has 8$ left

Step-by-step explanation:

if you subtract 24 from 16 you get 8

Answer: B

hope this helps

Answer:

Step-by-step explanation:

x + y = 180

3x = y

x + 3x = 180

4x = 180

x = 45

3*45 = y

y = 135

The two angles are

45

135