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VladimirAG [237]
2 years ago
14

Jessica runs each lap in 8 minutes. She will run less than 48 minutes today. What are the possible numbers of laps she will run

today?
Use n for the number of laps she will run today.
Write your answer as an inequality solved for t
Mathematics
2 answers:
BabaBlast [244]2 years ago
5 0

Answer:

t>6 is answer

Step-by-step explanation:

the inequality is 8t>48.

the solution is t>48/8=6.

Answer.t>6.

I hope it's helpful!

timurjin [86]2 years ago
3 0

Answer:

48>=t+8n>=0

Step-by-step explanation:

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Write a two column proof. If ZY=3XY, then ZX=4XY
Blababa [14]

Answer:

As you have written

Z Y  = 3 X Y,

It means X, Y, Z are collinear points i.e they lie in the same line or line segment.

Locating points X, Y,Z  on the line

Two possibilities are possible

1. First Z, then X and then Y on the line or line segment

→ Z X + Y X= Z Y

But Z Y = 3 X Y [ Given]

→  Z X + Y X = 3 X Y

→  Z X = 3 X Y -  Y X

→  Z X = 2 X Y ⇒ which is not the result.

2. 2nd Possibility

First Z, then Y and then X on the line or line segment

→ Z X  =  Z Y + Y X

→ Z X= 3 X Y + Y X  [Z Y=3 X Y→(given)]

→ Z X= 4 X Y , Which is the result.


5 0
3 years ago
The standard deviation of the sampling distribution of the sample mean is $115,000. The population standard deviation was $25,00
Zina [86]

Answer:

0.31084

Step-by-step explanation:

When given a question where by a random sample is chosen for the population, the z score formula used =

z = (x-μ)/Standard error

where x is the raw score

μ is the population mean

Standard error = σ/√n,

σ is the population standard deviation

n = number of samples

For x = $114,000, μ = $115,000, σ = 25,000, n = 100

z = (x-μ)/Standard error

= z = (x-μ)/ σ/√n

z = 114,000 - 115,000/ 25,000/√100

= -1000/25,000/10

= -1000/2500

z = -0.4

Determining the probability value from Z-Table:

P(x = 114000) = P(z = -0.4)

= 0.34458

For x = $116,000, μ = $115,000, σ = 25,000, n = 100

z = (x-μ)/Standard error

= z = (x-μ)/ σ/√n

z = 116,000 - 115,000/ 25,000/√100

= 1000/25,000/10

= 1000/2500

= 0.4

Determining the Probability value from Z-Table:

P(x = 116000) = P(z = 0.4)

= 0.65542

The probability that the sample mean selling price was between $114,000 and $116,000 is calculated as

= P(114,000< x < 116,000)

= P(-Z<x<Z)

= P(-0.4<x< 0.4

= 0.65542 - 0.34458

= 0.31084

Therefore, the probability that the sample mean selling price was between $114,000 and $116,000 is 0.31084

5 0
2 years ago
Write a two-step equation involving a fraction and explain how to solve it. pleaseeeeeeeeeee
jeyben [28]
It takes two steps to solve an equation or inequality that has more than one operation:<span>Simplify using the inverse of addition or subtraction.<span>Simplify further by using the inverse of multiplication or division.

</span>5-5x=0
5-5x-5=0-5
-5x=-5
-5x/-5=-5/-5
x=1</span>
5 0
2 years ago
Read 2 more answers
Yesterday, it took 40 minutes to drive to school. Today, it took 32 minutes to drive to school. What is your percent of change?
Citrus2011 [14]

Step-by-step explanation:

decrease by 20%

xxxxxxxx

4 0
2 years ago
Read 2 more answers
2. Solve the following system. Show all your work. {3x - 2y + 2z = 30 {-x + 3y - 4z = -33 {2x - 4y + 3z = 42
Semmy [17]
From the system of equations, we have 3 unknowns and 3 equations. Therefore, it can be solved. 

<span>3x - 2y + 2z = 30  (1)
</span><span>-x + 3y - 4z = -33  (2)
</span><span>2x - 4y + 3z = 42   (3)

We can write equation 2 x as a function of y and z and substitute the new equation to the other equations.
</span>x =3y - 4z + 33  (2)

3 (3y - 4z + 3)<span> - 2y + 2z = 30  (1)
</span>2 (3y - 4z + <span>3)</span> - 4y + 3z = 42   (3)

We simplify and solve the equations and we get values,

x = 4
y = -7
z = 2
6 0
3 years ago
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