If pis inversely proportional to the square of q, and p is 23 when q is 4, determine p
when q is equal to 2.

Answer:

24 minutes

Step-by-step explanation:

We use 1/a + 1/b = 1/c

where a and b are the individual times and c is the time together

1/40 + 1/60 = 1/c

Multiply each side by 120c

120c( 1/40 + 1/60 = 1/c)

3c + 2c = 120

5c = 120

Divide each side by 5

5c/5 = 120/5

c = 24

Answer: 24 minutes

Step-by-step explanation: To solve this kind of a problem which is called a work problem, it's important to understand the following idea.

Since Elam can wire a light in 40 minutes, we know that in 1 minute,

Elam can wire 1/40 of the light and in 2 minutes, Elam can wire 2/40 of it.

Therefore, in t hours, Elam can wire t/40 of the light.

The same applies for Michael, in t hours, he can wire t/60 of the light.

So to solve the problem, we use the following formula:

Part of job done by Elam + part of job done Michael = 1 job done

The part of the job done by Elam is t/40 and t/60 for Michael.

So we have t/40 + t/60 = 1.

Now multiply both sides by 120 to get 3t + 2t = 120

or 5t = 120 so t = 24.

So it takes 24 minutes if they work together.

Answer:

iii. The data do not provide sufficient evidence to conclude that the mean number of minutes exercised per week is larger for men than for women at this gym

Step-by-step explanation:

1) The hypotheses are

H0: u1 ≤ u2 against the claim Ha: u1 > u2

The men spend less or equal time than the women  at the gym each week

vs

the men  spend greater time  than the women at the gym each week

2) The test statistic is

t= (x1`- x2`) / √ s1²/n1+ s2²/n2

t= 65.7- 64.8/√(13.9)²/75 + (9.6)²/68

t= 0.9/√2.57613 +1.35529

t=0.4539

and the degrees of freedom is

3) υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1

=[(13.9)²/75 + (9.6)²/68]²/ [(13.9)²/75 ]² /74 + [ (9.6)²/68]²/67

= 139

The degrees of freedom is always rounded in this calculation

4) The Critical region is [1.656, ∞]

5) t-score is outside of the critical region, so there is not enough evidence to reject H₀.

iii. The data do not provide sufficient evidence to conclude that the mean number of minutes exercised per week is larger for men than for women at this gym

Answer:

H

Step-by-step explanation:

Answer: mean is 13.5 and median is 7

Step-by-step explanation:

to get median you do (7+7)/2 and get 7 and for the mean you just add all of the numbers and divide by how many numbers there are. Basically it is 81/6 to get 13.5

Answer:

Median = 7

Mean = 13.5

Step-by-step explanation:

To find the median, put them in increasing order:

3, 5, 7, 7, 23, 36

cross out the values on the ends until you meet in the middle:

/, 5, 7, 7, 23, /

/, /, 7, 7, /, /

Find the average of the two middle numbers: (7+7)/2 = 7

Median = 7

For the mean, add all numbers and divide by the amount of numbers you have:

3 + 5 + 7 + 7 + 23 + 36 / 6

=81/6

= 13.5

Answer:

it is easy simply you can answer-12 imaginary 11 is real

Answer:

70.5º

Step-by-step explanation:

cosB = adj/hyp

cosB = 16/48

cosB = 1/3

B = arccos 1/3

Use calculator

∠B = 70.5º

1. -2<2 2. -4> -5. -20<20. -7>-8. -10<-1. 50>-100

Answer:

It would be 4.08, so Ani is wrong writing it as 4.8.

Step-by-step explanation:

So, with this, the number 4 is 4, a single-digit number. Anything below that has a decimal point before it. With the knowledge of there being 8 hundredths, first see this diagram explaining the terms for numbers after the decimal point:

0.1 --> 1 Tenth

0.01 --> 1 Hundredth

0.001 ---> 1 Thousandth

With this, we can see that it will be something of the likes of 4.01-4.09. Since there are 8 Hundredths, it would be 4.08, as 0.01 * 8 = 0.08.

Therefore, she is wrong because she wrote it as 4 and 8 tenths rather than 4 and 8 hundredths.

Answer:

Equation of line that passes through the points is; y= -13x - 31

Step-by-step explanation:

Given coordinates;

(- 2, - 5) and (3. - 8)

Find:

Equation of the line

Computation:

Equation of line that passes through the points is;

y = mx + c

So,

in (- 2, - 5)

-5 = m(-2) + c

-5 = -2m + c ...................Eq1

in (3, - 8)

- 8 = m(3) + c

-8 = 3m + c .....................Eq2

From eq2 + eq1

m = -13

-5 = -2m + c

-5 = -2(-13) + c

-5 = 26 + c

c = -31

So,

y = mx + c

y = (-13)x + (-31)

Equation of line that passes through the points is; y= -13x - 31

Answer:

The correct answer is -

1. 2 whole pizza

2. each boy pay for his pizza slices are -

Aaron - $2.80

Glenn - $1.40

James - $2.10,

Matt - $2.80 and

Trevor - $2.10

Step-by-step explanation:

According to the question, Aaron, Glenn, James, Matt, and Trevor are boys who ordered pizza as per their requirements.

Total slices ordered are -1/2 of pizza or 4 for Aaron, 2 for Glenn, 3 slices for James, 4 slices for Matt and 3 for Trevor,

= 4+2+3+4+3 = 16 slices

2 pizza means = 16 slices

total price = 70 cents*16

= $11.20

each boy pay for his pizza slices are -

Aaron - $2.80 - 4 slice

Glenn - $1.40 - 2

James - $2.10, -3

Matt - $2.80 - 4

Trevor - $2.10 -3

Answer: 18.5 inches

Step-by-step explanation:

The total snowfall that the students received at their school that winter will be the addition of the snowfall for each month and this will be:

= December snowfall + January snowfall + February snowfall

= 4.2 + 8.9 + 5.4

= 18.5

The total snowfall is 18.9 inches.

Answer:

x = 6

Step-by-step explanation:

assume those two lines are the diameters of the circle:

2x + 12 = 15 + x + 3

=> x = 6

9514 1404 393

Answer:

  [tex]\textsf{B.}\ \ 6x-1+\dfrac{-11x+8}{x^2+3}[/tex]

Step-by-step explanation:

See the attachment for the working out of the long division.

Answer:

1.) Yes, it is a function

2.) No, it is not a function.

Step-by-step explanation:

1.) It is a function because none of the numbers in the x-axis repeat.

2.) It is not a function because the numbers in the x-axis repeats 0 three times.

Answer: I think is A, D, E

Step-by-step explanation:

Answer:

mode

Step-by-step explanation:

To Find :

Which of the given pair of launch angles below will travel  the same range given the same initial velocity.

Solution :

We know, two projectile with same velocity and different angles a and b can have same initial velocity on when the following condition satisfies :

a + b = 90°

Now, putting all the given value in above condition, we get for value 40° and 50° the above condition is true.

Therefore, option c) is correct.

Answer:

Step-by-step explanation:

part a ) Triangular prism

part b) 6

Answer:

24

Step-by-step explanation:

2b = b+24

2b-b = 24

b = 24

Answer:

Step-by-step explanation:

Answer:

use the sine rule

Step-by-step explanation:

Answer:

X = 4

Step-by-step explanation:

6x + 8 = 32

6x = 32 - 8

6x = 24

x = 4

the solution is X = 4.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.

here, we have,

6x + 8 = 32

6x = 32 - 8

6x = 24

x = 4

hence, the solution is x=4.

To learn more on equation click:

brainly.com/question/24169758

#SPJ2

Q = 91°

Step-by-step explanation:

Note how the angles correspond to each of the shapes:

J ---> S

G ---> R

H ---> Q

I ----> P

Since J = 55°, we can see that S is also 55°. With H = 91°, this means that Q is also 91°

Answer:

its 7/9

Step-by-step explanation:

you just have to flip the fractions

Answer:

7/9

Step-by-step explanation:

Flip the fraction

Answer: This can not be answered unless you choose a bigger photo.

Step-by-step explanation:

Sorry

what that makes no sense

Answer:

1.112

Step-by-step explanation:

First, divide 1111 by 999 to find the decimal equivalent. 1111 divided by 999 equals 1.112112112

Second, look at the digits to see the smallest sequence of digits that repeat. The digits that repeat are 1 1 and 2

can I have brainlyest

Step-by-step explanation:

you would do 864.98 times 109.75% it would be estimated to 949 dollars