the product of a number squared and 4

Given parameters:

Number of hours worked by Peter = 6.5hrs

His friend Joseph works [tex]1\frac{2}{3}[/tex] hours more than Peter;

Unknown:

Number of hours Joseph can work more than Peter = ?

This problem is pretty straight forward.

We see from the given parameters, it was explicitly stated that Joseph, the friend of Peter works [tex]1\frac{2}{3}[/tex] more hours .

Therefore, Peter's friend worked [tex]1\frac{2}{3}[/tex] more hours.

For A to B, or segment AB, we have the points (1,1) and (4,3). (x1, y1) = (1,1) and (x2, y2) = (4,3);

x = 1 + t(4 - 1)

y = 1 + t(3 - 1)

A to B => (x = 1 + 3t, y = 1 + 2t)

We can apply a similar process for BC and AC. For BC we have (x1, y1) = (4,3) and (x2,y2) = (1,7);

x = 4 + t(1 - 4)

y = 3 + t(7 - 3)

B to C => (x = 4 - 3t, y = 3 + 4t)

(x1, y1) = (1, 1) and (x2, y2) = (1, 7);

x = 1 + t(1 - 1)

y = 1 + t(7 - 1)

A to C => (x = 1, y = 1 + 6t)

Here is your graph of the triangle. Desmos is a really great tool to use;

Answer:

170 rooms left to clean.

Step-by-step explanation:

If you are implying that there are 126 rooms for each floor of the 4 floors total.

Given the scenario that there are 126 rooms for each floor with 4 floors total with 334 of the rooms cleaned. The rooms left to clean are calculated by finding the difference between the total amount of rooms, and the rooms cleaned.

This relationship can be given by:

#total rooms - #cleaned rooms = #rooms left to clean.

The total rooms are found by multiplying the number of floors by the number of rooms on each floor: 126 × 4 = 504 rooms total.

Now we have all the variables needed, and can solve for the missing one:

(126×4) - (334) = #rooms left to clean

504 - 334 = 170 = #rooms left to clean

Answer:

2.38%

Step-by-step explanation:

Given that:

The population size involving numbers of treated and untreated seeds N  = 10

the number of seeds that are treated which are observed = 5

the number of seeds that sprouted 'n' = 4

Now, use the method of hypergeometric probability, we have the formula:

[tex]p(y) = \dfrac{(^r_y)(^{N-r}_{n-y})}{(^N_n)}[/tex]

∴

[tex]p(4) = \dfrac{(^5_4)(^{5}_{0})}{(^{10}_4)}[/tex]

[tex]p(4) = \dfrac{\dfrac{5!}{4!(5-4)!}* \dfrac{5!}{0!(5-0)!} }{\dfrac{10!}{4!(10-4)!} }[/tex]

[tex]p(4) = \dfrac{\dfrac{5!}{4!}* \dfrac{5!}{(5)!} }{\dfrac{10!}{4!(6)!} }[/tex]

[tex]p(4) = \dfrac{5*1 }{210}[/tex]

p(4) = 0.0238

p(4) = 2.38%

Answer:

(a)0.3493

(b) 0.7611

(c) 0.5034

(d) No it is not unusual

Step-by-step explanation:

Using the TI-84 Plus calculator to answer the following

The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

Mean 11.8 pounds and Standard deviation 3.1 pounds.

(a) What proportion of babies weigh more than 13 pounds?

z = (x-μ)/σ

= 13 - 11.8/3.1

= 0.3871

Probability value from Z-Table:

P(x<13) = 0.65066

P(x>13) = 1 - P(x<13) = 0.34934

The proportion of babies weigh more than 13 pounds is 0.3493

(b) What proportion of babies weigh less than 14 pounds?

z = (x-μ)/σ

= 14 - 11.8/3.1

= 0.70968

Probability value from Z-Table:

P(x<14) = 0.76105

The proportion of babies weigh less than 14 pounds is 0.7611

(c) What proportion of babies weigh between 11 and 15.8 pounds?

For x = 11

z = (x-μ)/σ

= 11 - 11.8/3.1

= -0.25806

Probability value from Z-Table:

P(x = 11) = 0.39818

For x = 15.8

z = (x-μ)/σ

= 15.8 - 11.8/3.1

= 1.29032

Probability value from Z-Table:

P(x = 15.8) = 0.90153

The proportion of babies weigh between 11 and 15.8 pounds

P(x = 15.8) - P(x = 11)

= 0.90153 - 0.39818

= 0.50335

≈ 4 decimal places = 0.5034

(d) Is it unusual for a baby to weigh more than 18 pounds?

z = (x-μ)/σ

= 18 - 11.8/3.1

= 2

Probability value from Z-Table:

P(x≤ 18) = P(x = 18) =

0.97725

No it is not unusual to have a Weight of 18 pounds

Round the answers to four decimal places.

(a) The proportion of babies weigh more than 13 pounds is 0.3493.

(b) The proportion of babies weigh less than 14 pounds is 0.7611.

(c) The proportion of babies weigh between 11 and 15.8 pounds is 0.5034.

(d) No, it is not unusual.

"To understand the calculation, check below."

Formula:

z = (x-μ)/σ,

x is the raw score.

μ is the population mean.

σ is the population standard deviation.

Mean = 11.8 pounds

Standard deviation =3.1 pounds.

Part (a) :

The proportion of babies weigh more than 13 pounds is :

z = (x-μ)/σ

z = 13 - 11.8/3.1

z = 0.3871

Probability value from Z-Table:

P(x<13) = 0.65066

P(x>13) = 1 - P(x<13) = 0.34934

The proportion of babies weigh more than 13 pounds is 0.3493

Part (b):

The proportion of babies weigh less than 14 pounds is :

z = (x-μ)/σ

z= 14 - 11.8/3.1

z= 0.70968

Probability value from Z-Table:

P(x<14) = 0.76105

The proportion of babies weigh less than 14 pounds is 0.7611.

Part (c):

The proportion of babies weigh between 11 and 15.8 pounds is :

For x = 11

z = (x-μ)/σ

z= 11 - 11.8/3.1

z= -0.25806

Probability value from Z-Table:

P(x = 11) = 0.39818

For x = 15.8

z = (x-μ)/σ

z= 15.8 - 11.8/3.1

z= 1.29032

Probability value from Z-Table:

P(x = 15.8) = 0.90153

The proportion of babies weigh between 11 and 15.8 pounds:

P(x = 15.8) - P(x = 11)

= 0.90153 - 0.39818

= 0.50335

≈ 4 decimal places = 0.5034

Part (d) :

Is it unusual for a baby to weigh more than 18 pounds :

z = (x-μ)/σ

z = 18 - 11.8/3.1

z = 2

Probability value from Z-Table:

P(x≤ 18) = P(x = 18) =0.97725

No, it is not unusual to have a Weight of 18 pounds.

Learn more about "Mean weight":

https://brainly.com/question/14275983?referrer=searchResults

Answer:

184

Step-by-step explanation:

16+y/8 =25

16+y=25 X 8

16 + y =200

y=200-16

y = 184

Out of the 55 cupcakes shared equally among four friends each friend will have 13 cupcakes.

A unitary method is a mathematical technique for finding the value of a single unit and then deriving the required units by multiplying with the single unit.

To find how many cupcakes each friend gets we can use the unitary method.

Given four friends made 55 cupcakes, therefore each friend can have (55/4) = 13.75 cupcakes, But the no. of cupcakes should be integers.

∴ Each friend can have 13 cupcakes.

learn more about unitary method here :

https://brainly.com/question/22056199

#SPJ2

Answer:

Step-by-step explanation:

12nl-4=8 start by adding 4 to both sides.

12nl=12/l Divide both sides by l.

12n=12 then divide both sides by 12.

n=1/l

Answer: -4 Please mark brainliest if I am right :D

Step-by-step explanation:

Let's solve your inequality step-by-step.

3(x+4)−x>4

Step 1: Simplify both sides of the inequality.

2x+12>4

Step 2: Subtract 12 from both sides.

2x+12−12>4−12

2x>−8

Step 3: Divide both sides by 2.

2x/2 > -8/2

x>−4

Answer:

x>−4

Answer:

C.-4

Step-by-step explanation:

3(x)+3(4)-x>4

3x+12-x>4

2x>-8

2x/2>-8/2

x>-4

Answer:

1.811

Step-by-step explanation:

To get the decimal Jenna should type into the computer you simply have to get the decimal value of each fraction and add them all together.

[tex]\frac{3}{4}=.75[/tex]

[tex]\frac{1}{8} =.125[/tex]

[tex]\frac{4}{5}=.8[/tex]

[tex]\frac{17}{125}=.136[/tex]

Then just add all the decimals together.

Answer: 2/5 = 40%

Step-by-step explanation: 2/5 5 (divided) by 25 = 40%

Answer:

40%

2/5 are shaded and if you divide 5 by 2 and add a decimal, and change it into a percent, you get 40%

Answer:

D and E

Step-by-step explanation:

y = (x + 1)²

If x = t + 1, then y = (t + 1 + 1)² = t² + 4t + 4.

If x = e²ᵗ + 1, then y = (e²ᵗ + 1 + 1)² = e⁴ᵗ + 4e²ᵗ + 4.

If x = cos t, then y = (cos t + 1)² = cos²t + 2 cos t + 1.

If x = t − 1, then y = (t − 1 + 1)² = t².

If x = t, then y = (t + 1)² = t² + 2t + 1.

Answer:

Step-by-step explanation:

              Given                   Parallel lines                 Converse

a). ∠13 ≅ ∠17                           a║c                  Corresponding angles

b). ∠4 ≅ ∠9                             b║e                  Exterior alternate angles

c). m∠19 + m∠22 = 180°         a║b                  Same side exterior angles

d). ∠8 ≅ ∠19                                                     Vertical angles.

e). ∠10 ≅ ∠23                         b║c                   Alternate angles

f). m∠14 + m∠17 = 180°           a║c                   Same side Interior angles

Answer:

2x²-2x+5y doing the math reply if you need explanations

Answer:

ray

Step-by-step explanation:

Answer:

2x - 1

Step-by-step explanation:

Answer:

14/24 and 3/24

Step-by-step explanation:

The LCM is 24, so divide the denominator by the LCM, and thats the number you multiply the numerator by

Answer:

64 or 81

Step-by-step explanation:

If it is 4^3 it would be 4*4*4=64

If it is 3^4 it would be 3*3*3*3=81

(I don't know which one your asking about so I put both)

Answer:

it should be 4:5 I hope that helps

Answer:

seven hundred twenty-seven and five hundred twenty-six thousandths

Step-by-step explanation:

Hope this helps:)

Answer:

I'm not exactly sure but

try 36inches??

Answer:

your answer is 36 inches.

Step-by-step explanation:

Okay, so you see how the 8 in has one dash. So you see how many one dashes there are and you have 2 so then you add that together and you get 16. Same thing with the 5in you have 4 two dashes. So then you add 16+20 and get 36.

Mark me brainliest pLZ!!!!!!

Answer:

12

Step-by-step explanation:

To find the area of a square, you have to square a side length. Squaring a number is the same as multiplying a number by itself.

12 x 12 = 144

Answer:

$251.25

Step-by-step explanation:

50.25*5= 251.25

Answer:

70 cds in 2022

Step-by-step explanation:

each year number of dvds being sold is decreasing by 15. In 2010, it was 250. 5 years later, it was 175.

250-175=75.

75/5=15.

15x7=105.

175-105=70.

in 2010 it was 250 and 250+150=400.

in 2000, it was y=400-15x

Answer is -10 -4 your welcom

Answer:

choice c : c<-4

Step-by-step explanation:

the word less than means <

Answer:

the answer for the number of stickers in all 4 boxes is 1200.

Step-by-step explanation:

there are 100 stickers in each roll and a box has 3 rolls. There are 12 rolls in total so you would do 100 X 12 which is 1200.

Answer:

1033

1000

Step-by-step explanation:

Multiple the numerator and the denominator both by 10 for every number that follows the decimal point

1.033 x 1000 = 1033

1 x 1000 1000