A recent study claims that business travelers spend an average of $39 per day for meals. A sample of 15 business travelers found that they had spent an average of $42 per day with a standard deviation of $3.78. If α=0.05, what is the test value?

Answer:

f(-1) = 2-3(-1) +1

= 7

f(-3)= 2-3(-3)+1

= 12

f(-1) = -1-1

= -2

f(-3) = -3-1

= -4

Answer:

I believe that it is C.

Step-by-step explanation:

360x0.15 = 24, 15% is from the given chart...

I am not 100% sure, but I do think that this is right.

The solution is : The weight of an individual who consumes 1,370 calories per day is 137 pound.

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

Given:

1,050 calories should be consumed daily for a 105-pound person.

Now, to get the weight of an individual who consumes 1,370 calories per day.

If 1,050 calories should be consumed per day for = 105-pound person.

So, 1 calorie should be consumed per day for =105/1050

                                                                            =1/10                                                                                

Then, 1,370 calories consumed per day for weight of =1370/10

                                                                                         = 137 pounds

Therefore, the weight of an individual who consumes 1,370 calories per day is 137 pound.

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complete question:

The number of calories needed in a daily diet varies directly as the weight of an individual. If 1,050 calories should be consumed daily for a 105-pound person, what is the weight of an individual who consumes 1,370 calories per day?

The independent Variable in the situation presented in the table is the temperature (T), which is measured in degrees Celsius (°C), and the dependent variable is the volume (V), which is measured in milliliters (mL).

The table above illustrates the relationship between the temperature of a substance and its volume. The independent variable is the temperature of the substance and the dependent variable is the volume of the substance.

The symbol or name used to represent the independent variable is "T" for temperature and its units are given as degrees Celsius or °C.The symbol or name used to represent the dependent variable is "V" for volume, and its units are given as milliliters or mL.

The temperature is the independent variable as it is being manipulated in the experiment while the volume is dependent on the temperature as it is changing based on the temperature.

An independent variable is a variable in an experiment that is being manipulated by the experimenter, while the dependent variable is the variable that is being measured in response to changes in the independent variable.

In summary, the independent variable in the situation presented in the table is the temperature (T), which is measured in degrees Celsius (°C), and the dependent variable is the volume (V), which is measured in milliliters (mL).

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Answer:

\(P(\frac{A}{B'})\)=0.111

Step-by-step explanation:

Given:

The probability of winning the first game is 10.1

The first game is won

The probability of winning the second game is 15

If the first is lost, the probability of winning the second game is 25

Solution:

\(P(B)=P(A)P(\frac{B}{A})+P(A')P(\frac{B}{A'})\\ =0.1(0.15)+(0.3)*0.25)\\P(B)=0.24 ------(1)\\P(\frac{A}{B})=\frac{P(\frac{B}{A})P(A) }{P(B)}\\ =\frac{0.15(0.1)}{0.24}\\ =0.0625 ------(2)\\P(B')=1-P(B)=0.76 ------(3)\\P(A)=P(B)P(\frac{A}{B})+P(B')P(\frac{A}{B'})\\0.1=0.24(0.0625)+0.76(p(\frac{A}{B'} ))\\P(\frac{A}{B'})=0.111\)

Answer:

\(P(W_1/W_2')=0.1110\)

Step-by-step explanation:

Probability of winning the first game be considering the given factors be, \(W_1=0.1\)

Probability of winning the second game be considering the given factors be, \(W_2\)= probability of winning the second game when the first game is won + probability of winning the second game when the first game is lost:

\(P(W_2)=P(W_1).P(W_2/W_1)+P(W_1').P(W_2/W_1')\)

\(P(W_2)=0.1\times 0.15+0.9\times 0.25\)

\(P(W_2)=0.24\)

Hence the probability of losing the second game:

\(P(W_2')=1-P(W_2)\)

\(P(W_2')=0.76\)

Probability of winning the first game when the second game is won:

\(P(W_1/W_2)=\frac{P(W_2/W_1).P(W_1)}{P(W_2)}\)

\(P(W_1/W_2)=\frac{0.15\times 0.1}{0.24}\)

\(P(W_1/W_2)=0.0625\)

Probability of winning the first game be considering the given factors, \(W_1\)= probability of winning the first game when the second game is won + probability of winning the first game when the second game is lost:

\(P(W_1)=P(W_2).P(W_1/W_2)+P(W_2').P(W_1/W_2')\)

\(0.1=0.24\times0.0625+0.76\times P(W_1/W_2')\)

\(P(W_1/W_2')=0.1110\)

Step-by-step explanation:

a)

Arabica coffee = 750a

Robusta coffee = 1200r

The total amount coffee beans 750a + 1200r = 1000000 kg

b)

The total amount of market price

1.42*750a +0.73*1200r 1000000

1065a + 876r = 1000000 dollars

step by step reading

The coffee variety Arabica yields about 750 kg of coffee beans per hectare, while

Robusta yields about 1200 kg per hectare. Suppose that a plantation has a

hectares of Arabica and r hectares of Robusta.

a. Write an equation relating a and r if the plantation yields 1,200,000 kg of coffee.

b. On August 14, 2003, the world market price of coffee was $1.42 per kg of Arabica

and $0.73 per kg of Robusta. Write an equation relating a and r if the plantation

produces coffee worth $1,200.000. what does that answer that means  it would be

ANSWER

a

Arabica coffee = 750a

Robusta coffee = 1200r

The total amount coffee beans

750a + 1200r = 1.200,000 kg

b)

The total amount of market price

1.42*750a + 0.73*1200r = 1,200.000 ⇒

1065a + 876r = 1,200.000 dollar!!!!!!

29 = speed of the boat in still water

c = speed of the current

t = time it took each way

when going Upstream, the boat is not really going "29" fast, is really going slower, is going "29 - c", because the current is subtracting speed from it, likewise, when going Downstream the boat is not going "29" fast, is really going faster, is going "29 + c", because the current is adding its speed to it.

\({\Large \begin{array}{llll} \underset{distance}{d}=\underset{rate}{r} \stackrel{time}{t} \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Upstream&180&29-c&t\\ Downstream&342&29+c&t \end{array}\hspace{5em} \begin{cases} 180=(29-c)(t)\\\\ 342=(29+c)(t) \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{using the 1st equation}}{180=(29-c)t\implies \cfrac{180}{29-c}=t} \\\\\\ \stackrel{\textit{substituting on the 2nd equation from above}}{342=(29+c)\left( \cfrac{180}{29-c} \right)}\implies \cfrac{342}{29+c}=\cfrac{180}{29-c} \\\\\\ 9918-342c=5220+180c\implies 4698-342c=180c\implies 4698=522c \\\\\\ \cfrac{4698}{522}=c\implies \boxed{9=c}\)

Step-by-step explanation:

so, what's the problem ?

it's all there, we only need to take the calculator (or simply our heads) and do the calculation :

2×5 - 5×2 = 10 - 10 = 0

you see ? that was all that was needed.

put the given values for the variables into the places of these variables, and then calculate !

that is what variables are for : placeholders for actual values.

Hence, the 3 consecutive numbers are 20,21, and 22.

Hoped this helped.

\(BrainiacUser1357\)

Answer:

From the table, we observe that the domain of the function is {Mon, Tues, Wed, Thurs, Fri} and the range is {1, 2, 3, 4, 0}

So, S(Mon) = 1

S(Tues) = 2

S(Wed) = 3

S(Thurs) = 4

S(Fri) = 0

Hence,

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

Answer:

5^2 or 5 to the power of 2

Step-by-step explanation:

5x5=25

Answer:

its 1/10

Step-by-step explanation:

You are wrong because 0.1 x 10 is 1 just like 1/10 x 10 is 1.

Answer:

1/0 and the second answer

Step-by-step explanation:

A Irrational number is when a number cant be expressed in p/q when q isn’t 0 and in 1/0 q is 0 making it irrational

would be amazing if you marked this brainliest

Answer:

1. d)She smiled as she opened the package.

2. independent clause

3. When we go to school in the morning, we need to take our lunches and our backpacks.

4. the words, phrases, and clauses that provide details and descriptions

Step-by-step explanation:

1). A dependent clause is a fragment of a sentence that contains the subject, a verb but does not make sense to the reader alone. Hence, it is dependent on the independent clause to be meaningful. In this case, the sentence: "She smiled as she opened the package" contains a dependent clause, which is "as she opened the package".

This clause cannot stand alone and make sense, hence, it is a dependent clause.

2) An independent clause is that clause containing a group of words that has a subject and a predicate (verb inclusive) and makes a complete sentence. In other words, the independent clause can stand alone and be meaningful to the reader or hearer.

3. As mentioned above, a dependent clause cannot make a complete sentence alone and does not make sense individually. Therefore, in the sentence: "When we go to school in the morning, we need to take our lunches and our backpacks".

"When we go to school in the morning" is the dependent clause beginning the sentence.

4. A modifier, in English language, is a part of a sentence which can be a word, clause or phrase whose function is to describe or provide details of another word in the sentence. As the name implies, modifiers modify i.e. to make changes to something.

Answer:

\(\huge\boxed{\sf x = 9}\)

Step-by-step explanation:

3(x + 4) - 11 = 28

3(x + 4) = 28 + 11

3(x + 4) = 39

3x + 12 = 39

3x = 39 - 12

3x = 27

x = 27/3

\(\rule[225]{225}{2}\)

Answer:

5 is the only one that makes sense

Answer:

Step-by-step explanation:

P(-a<z<a)=0.60, from the symmetry of normal distribution, P(z<a) = 0.60+ (1-0.60)/2 =

0.60+0.4/2

0.60+0.2

= 0.8

Considering the standard normal distribution table, we have a = 0.80, thus

z =(x-m)/std = 0.80

the maximum x = m + 0.80×std =

Where m = 246300

Std = 15000

246300+0.80×15000

= 246300+12000

= 258300

For the minimum x

x = m - 0.80×std

x = 246300-0.80×15000

246300-12000

= 234300

The area of the square is given as 100 square unit

You should be aware that the square has all its sides equal

The perpendicular from opposite vertices represent distance

The given vertices are

(2,2) and (10,8)

Using the formula for distance between two points

d=√(10-2)²+(8-2)²

d=√8²+6²

d = √64+36

d=√100

This implies that d=10

The area of a square is given as s²

Area = 10²

Atrea = 100 square units

In conclusion, the area of the square is 100 square units

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Translated question:

The vertices of a square ABCD are A(2,2) and B(10,8), Find the area of the square

Answer:10<x<30

Step-by-step explanation:

According to the triangle side theorem all you need to do is this.

Difference of the two sides<x<Sum of the two sides.

That will give you the range your looking for. For the difference always remove the smaller number from the bigger number so you can always have positive integers.

Answer: 10<x<30

Step-by-step explanation: The third side of the triangle has to be greater than the difference of the other two sides and smaller than the sum of the other two sides.

If the circle is dilated by a factor of 2, the equation of the circle is: C. (x + 3)² + (y - 2)² = 18.

In Mathematics and Geometry, the standard form of the equation of a circle is represented by the following mathematical equation;

(x - h)² + (y - k)² = r²

Where:

By critically observing the graph of this circle, we have the following parameters:

By substituting the given parameters into the equation of a circle formula, we have the following;

(x - h)² + (y - k)² = r²

(x - (-3))² + (y - 2)² = 3²

(x + 3)² + (y - 2)² = 9.

By dilating with a scale factor of 2, we have:

(x + 3)² + (y - 2)² = (9 × 2)

(x + 3)² + (y - 2)² = 18

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Answer:

35501.25

Step-by-step explanation:

The total surface area of the prism is equal to 74 m².

In Mathematics, the total surface area of a triangular prism can be calculated by using this mathematical expression:

Total surface area of triangular prism = (Perimeter of the base × Length of the prism) + (2 × Base area)

Total surface area of triangular prism = (S₁ + S₂ + S₃)L + bh

where:

By substituting the given parameters, we have:

Total surface area of triangular prism = 4 + (5 × 4)3.5

Total surface area of triangular prism = 4 + (20)3.5

Total surface area of triangular prism = 74 m².

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Answer:

52 times

Step-by-step explanation:

Given

\(n = 78\) -- Number of times

Required

Determine the expected times to get > 2.

In a fair dice, the outcome > 2 are:

\(>2 = \{3,4,5,6\}\)

The probability of the above is:

\(p = \frac{4}{6}\)

\(p = \frac{2}{3}\)

The number of times is calculated using:

\(E(x) = n * p\)

\(E(x) = 78* \frac{2}{3}\)

\(E(x) = \frac{78* 2}{3}\)

\(E(x) = \frac{156}{3}\)

\(E(x) = 52\)

Answer:

im pretty sure its b but if its not then i apologise

Answer:

number 1 is c      number 2 is b,c,e  number 3 is b

Step-by-step explanation:

1: if you see something to the power you will always think of repeated multiplication off the bat. so you just multiply the coefficient by the amount of the exponent.

2: 1*1*1*1*1*1*1*1*1*1*1*1*1*1*1*1=1 no

2*2*2*2=16 yes

4*4=16 yes

8*8=64 no

16=16 yes

3: 3/4*3/4*3/4=27/64

hope this helps! have a nice day!

The customer will pay $6.30 for the 60 local calls that all lasted 3 minutes.

To find out how much the customer will pay, we need to calculate the total cost for all the local calls.
Step 1: Calculate the total number of minutes for all the calls
Since the customer made 60 local calls and each call lasted 3 minutes, we can multiply 60 by 3 to get the total number of minutes.
60 calls * 3 minutes/call = 180 minutes
Step 2: Calculate the total cost for all the minutes
The customer pays $0.035 per minute for local calls. To find the total cost, we can multiply the total number of minutes by the cost per minute.
180 minutes * $0.035/minute = $6.30

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Answer:

ST || PQ → 12 / 27 = (x-4)/(x+6) → x=12

RT = x-4 = 12-4 = 8

QT = x+6 = 12+6 = 18

Answer:

1. not a function

2. function

3. function

Step-by-step explanation:

ask yourself..."does it pass the vertical line test?"

Answer:

7Hrs because 84-35=49

49/7=7