In a behavioral field study, my colleagues and I found that teams of three
students exercised more than everyone else in the study.
True
False

Answer:

a

Step-by-step explanation:

Answer: [tex]a=5/12[/tex]

Multiply both sides by 5/3

[tex](5/3)*(3/5a)=(5/3)*(1/4)\\a=5/12[/tex]

Answer:

a=12/5=2.4

Step-by-step explanation:

We cross multiply first

3/5a=1/4

5a×1=4×3

5a=12

Divide both sides by 5

5a/5=12/5

a=12/5

a=2.4

Answer:

25 minutes.

Step-by-step explanation:

A person makes an overseas call.

The telephone company charges 65 cents for the first minute.

Then 75 cents for each minute thereafter.

There is a 55 cent service charge.

1 dollar = 100 cents

65 cents = $0.65

75 cents = $0.75

55 cents = $0.55

For a phone call that cost $19.20 ;

Subtracting the service charge and the first minute charge from overall cost we get;

$19.20 - $0.55 - $0.65 = $18

For every additional minute there is a charge of $0.75

How many minutes make $18 ;

Cross multiplying this gives;

[tex]\frac{18}{0.75} * 1[/tex] = 24  minutes.

So the call lasted 24 minutes + 1 minute = 25 minutes.

Answer:

-155

Step-by-step explanation:

25-(√16-1)·(3-9)²

25 - (1 * 6 - 1)(3 - 9)^2

(1 * 6 -1)(3 - 9)^2 = 6^2 * 5

25 - 6^2 * 5

5 * 6^2 = 180

25 - 180

= -155

The answer to the given expression 25-(√16-1)·(3-9)² will be -83.

A mixture of variables,n umbers, addition, subtraction, multiplication, and division are called expressions.

A mathematical expression serves as proof that two mathematical expressions are equal.

A statement expressing the equality of two mathematical expressions is known as an equation.

Given,

25-(√16-1)·(3-9)²

Since √16 = 4

⇒ 25-(4-1)·(3-9)²

⇒ 25 - 3(-6)²

⇒ 25 - 3 ×36

⇒ -83

Hence, the answer to the given expression 25-(√16-1)·(3-9)² will be -83.

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Answer:

Step-by-step explanation:

4.5

The required time that two highway workers to mow the grass together on this stretch of highway is 2 hours,

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
Rate of doing for highway workers A = 1 / 3
Rate of doing for highway workers B = 1 / 6
Now total rate,
= 1 / 3 + 1 / 6
= 2 + 1 / 6
= 3 / 6
= 1 / 2
Now,
it takes for the two highway workers to mow the grass together on this stretch of highway,
Time = 1 / 1 / 2
Time = 1 * 2 / 1
Time  = 2 hours,

Thus, the required time that two highway workers to mow the grass together on this stretch of highway is 2 hours,

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Answer:

[tex]\Huge \boxed{\mathrm{C. \ 1}}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

[tex]27 \cdot ((3^3)^{-1})[/tex]

Multiplying exponents.

[tex]27 \cdot 3^{-3}[/tex]

Rewriting 27 with base 3.

[tex]3^3 \cdot 3^{-3}[/tex]

Adding exponents since bases are the same.

[tex]3^0 =1[/tex]

[tex]\rule[225]{225}{2}[/tex]

Answer:

C.  1

Step-by-step explanation:

27 * {(3³)⁻¹}

=      27    

       3³

=      27    

       27

= 1

Answer:

The P-value is between 2.5% and 5% from the t-table.

Step-by-step explanation:

We are given that a random sample of 16 students selected from the student body of a large university had an average age of 25 years and a standard deviation of 2 years.

Let [tex]\mu[/tex] = true average age of all the students at the university.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu \leq[/tex] 24 years     {means that the average age of all the students at the university is less than or equal to 24}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] > 24 years     {means that the average age of all the students at the university is significantly more than 24}

The test statistics that will be used here is One-sample t-test statistics because we don't know about the population standard deviation;

                               T.S.  =  [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex]  ~   [tex]t_n_-_1[/tex]

where, [tex]\bar X[/tex] = sample average age = 25 years

             s = sample standard deviation = 2 years

             n = sample of students = 16

So, the test statistics =  [tex]\frac{25-24}{\frac{2}{\sqrt{16} } }[/tex]  ~  [tex]t_1_5[/tex]  

                                     =  2  

The value of t-test statistics is 2.

Also, the P-value of test-statistics is given by;

            P-value = P( [tex]t_1_5[/tex] > 2) = 0.034 {from the t-table}

The P-value is between 2.5% and 5% from the t-table.

Answer:

Step-by-step explanation:

square     square

yards         feet

4                 36

10                 x

 [tex]x = \dfrac{36\cdot10}{4}=9\cdot10=90[/tex]

Answer:

Original cost + tax = Total cost

650+0.08(650) =  

650+52 = $702

Answer:

$599.72

Step-by-step explanation:

8% of 650 is $52 so you add that to $650 which comes up to $702, then you find 15% of the total price, which is $105.30 you subtract that from the total price and you come up with $599.72.

Answer:

175,760, 000 plates

Step-by-step explanation:

There are 3 spots where there are 26 choices each

(=26^3)

and 4 spots where there are 10 choices each (the digits 0 through 9, =10^4). This gives:

26^3 x 10^4 = 175,760,000 plates

Hope this helps!

Answer:

Step-by-step explanation:

.40m + 80 = .80m + 20

-.40m + 80 = 20

-.40m = -60

m = 150 miles in a day

4,358

hope this helps

Answer:

Option C

Step-by-step explanation:

The distributive property states that:

[tex]a(b+c)=ab+ac[/tex]

You have to multiply 'b' and 'c' by 'a' to completely distribute.

Example using Distributive Property:

[tex]4(3+5)\\\\\rightarrow\text{Distribute: }4(3+5)=4(3)+4(5)\\\\4(3+5)=12+20\\\\4(3+5)=32[/tex]

Hope this helps.

Answer:

I'm pretty sure its C.

Step-by-step explanation:

cause a would be distributed into b and c. so

a(b+c)

ab +ac

which will then become ab+ac

im bad at explaining sorry

Answer:

x minus y: when it says "minus", it means substracting, so x - y.

The product of two numbers: If we call one x and the other y, the product of them is the same as multiplying them, so xy.

The product of two numbers is six: If we call one x and the other y, the product of them is the same as multiplying them and we know the result of doing so is 6, so xy = 6

Six less than a number is y: So if we substract x to a number, the result is y, so 6 - x = y

x substracted by y: this means we substract x from y, which is the same than y minus x, so y - x

y divided by x: this means y is being divided by x, so y/x

The sum of two numbers is six: That means we sum x and y, and the result is 6, so x + y = 6

x divided by y: This means x is being divided by y, so x/y

The sum of x and y: this means both numbers are summing, so x + y

Six times a number equals y: This means 6 per a number (let it be x) is equal to y, so 6x = y

Answer:

dk man

Step-by-step explanation:

Answer:

5x+2.25v=c

Step-by-step explanation:

$5 member fee and 2.25per video add then mutiply

Answer:

A) З x,y : ( x/y < 1,  y/x < 1 )

B) ∀ Y : ( Y > 0 = 1/Y > 0 )

C) з x,y : ( x+y = xy )

D) ∀ x,y : [ ( x>0 ) ∧( y > 0 ) = (( x/y > 0 ) ∧ ( y/x > 0 ))

E ) ∀ y : [ ( y > 0 ) ∧ ( y < 1) = ( 1 / y > 1 )

F) n ( ( з x ∀ y ( x <y ) )

G) ∀x (( x ≠ 0 ) = ( зy ( xy = 1 ) ))

H) ∀x ( (x≠0) = ( з! y (xy = 1))

Step-by-step explanation:

since the domain of discourse is a set of all real numbers the logical expressions of the English statements are expressed with respect to real number:

A) З x,y : ( x/y < 1,  y/x < 1 )

B) ∀ Y : ( Y > 0 = 1/Y > 0 )

C) з x,y : ( x+y = xy )

D) ∀ x,y : [ ( x>0 ) ∧( y > 0 ) = (( x/y > 0 ) ∧ ( y/x > 0 ))

E ) ∀ y : [ ( y > 0 ) ∧ ( y < 1) = ( 1 / y > 1 )

F) n ( ( з x ∀ y ( x <y ) )

G) ∀x (( x ≠ 0 ) = ( зy ( xy = 1 ) ))

H) ∀x ( (x≠0) = ( з! y (xy = 1))

In translating English written expressions to logical expressions, we have to know the domain of the discourse. The domain of discourse can be said to be a set of all real numbers that the logical expressions of the English statements are expressed with respect to their real numbers. And as such, we arrive at each of this.

A) З x,y : ( x/y < 1,  y/x < 1 )

B) ∀ Y : ( Y > 0 = 1/Y > 0 )

C) з x,y : ( x+y = xy )

D) ∀ x,y : [ ( x>0 ) ∧( y > 0 ) = (( x/y > 0 ) ∧ ( y/x > 0 ))

E ) ∀ y : [ ( y > 0 ) ∧ ( y < 1) = ( 1 / y > 1 )

F) n ( ( з x ∀ y ( x <y ) )

G) ∀x (( x ≠ 0 ) = ( зy ( xy = 1 ) ))

H) ∀x ( (x≠0) = ( з! y (xy = 1))

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Answer:

Step-by-step explanation:

Given the set A = {x | x ∈ N and 20 < x} , from the set it can be seen that the element of the set are natural numbers where  20< x.

If 20< x

reciprocating both sides will change the sense of the inequality

1/20>1/x

cross multiply

x > 20

This means that the values of x are values grater than 20.

The smallest three values will be the smallest three natural numbers greater than 20 and they are 21, 22 and 23. Note that natural numbers are whole numbers.

Answer:

(-2, 3)

Step-by-step explanation:

Let's work backwards.

You start at (-2, -3).

Instead of "moving up 2 units", we "move down 2 units".

Moving up or down means changing the Y axis FYI.

(-2, -5)

Instead of "moving down 8 units", we "move up 8 units".

(-2, 3)

Answer:

(0,5)

Step-by-step explanation:

2 + -2 =0

-3 +8 =5

so its( 0,5)

HOPE THIS HELPS!!!!!!!!!!!!!!!!!!

619

the answer is 619

Answer:

= -5¹¹

Step-by-step explanation:

[tex]\frac{-5^{5} }{-5^{-6} }[/tex]

= -5^(5+6)

= -5¹¹

Answer:

Since the limit resulting from the ratios test is = 1 / 729  which is < 1  the series converges absolutely

Step-by-step explanation:

Since the limit resulting from the ratios test is = 1 / 729  which is < 1  the series converges absolutely

ATTACHED BELOW IS THE DETAILED SOLUTION of the above answer

Answer:

y = 0.50 + 0.25x

y = 2.25

Step-by-step explanation:

[tex]y = 0.50 + 0.25x\\x = 7\\y = 0.50 + 0.25(7)\\y = 0.50 + 1.75\\y = 2.25[/tex]

where y is the money owed, and x is the number of days a book is late.

Answer:

a-b-C+d-e+f-g

Step-by-step explanation:

Steps

$a-b-\left(C-\left(d-e\right)-f\right)-g$

Show Steps

$-\left(d-e\right):\quad-d+e$

$=a-b-\left(C+e-d-f\right)-g$

Show Steps

$-\left(C-d+e-f\right):\quad-C+d-e+f$

$=a-b-C+d-e+f-g$

9514 1404 393

Answer:

  (a) 84

Step-by-step explanation:

The largest integer that will round to 80 is one that does not have 5 or more in the ones place: 84.

__

The largest decimal number of a particular precision is 84.99999... (some finite number of 9s). If there are an infinite number of 9s, the number can be shown to be equal to 85, which would round to 90.

Answer:

a=36, b=3, c=36, d=66

Step-by-step explanation:

a=3600/100=36

b=30*100/1000=3

c=30*100+(36*100)=66 hundreds

Answer:

C

Step-by-step explanation:

We know that p = 2 and q  = 3 so:

2 ~ 3

= 2² * 3³ - 3 * 3

= 4 * 27 - 9

= 108 - 9

= 99

Answer:  Check this answer!

Step-by-step explanation:

                                                   The comparison of two independent population means is very common and provides a way to test the hypothesis that the two groups differ from each other. Is the night shift less productive than the day shift, are the rates of return from fixed asset investments different from those from common stock investments, and so on? An observed difference between two sample means depends on both the means and the sample standard deviations. Very different means can occur by chance if there is great variation among the individual samples. The test statistic will have to account for this fact. The test comparing two independent population means with unknown and possibly unequal population standard deviations is called the Aspin-Welch t-test.

In simple terms, The population standard deviation is a parameter, which is a fixed value calculated from every individual in the population. A sample standard deviation is a statistic. This means that it is calculated from only some of the individuals in a population. Since the sample standard deviation depends upon the sample, it has greater variability. Thus the standard deviation of the sample is greater than that of the population

Because: reason:

                                   Since the sample standard deviation depends upon the sample, it has greater variability. Thus the standard deviation of the sample is greater than that of the population.

HOPE IT HELPS YOU, IF IT HELPS PLEASE MARK THE BRAINLIEST BECOZ IT TOOK ME QUITE WHILE TO WRITE TO YOU...

Answer:

6000

Step-by-step explanation:

6 people paid for 5 days= 6000

1 person paid for 1 day= 6000/6

                                    =1000

6 people paid for 12 days= 1000x 12

                                         = 12000

12000- 6000= 6000