What is the value of x? Help me please

anygoal [31]

This is a linear function.

A linear function is a straight line that has a slope, and follows the formula: <em>
y = mx + b</em>

In which:
y = y
m = slope
x = x
b = y -intercept

hope this helps<em />

4 0

3 years ago

Read 2 more answers

Mrs. Mitchell decided to grade her projects by giving each student 50 points if they turned in a project and then an additional

photoshop1234 [79]

Let $c$ be the amount of parts the student answered correctly. Suppose that $s(c)$ is a function between $c$ and the score of a student's project. As the student initially receives a fixed $50$ points for turning the project in and $5$ points for each correct part, the function is initially:

$s(c) = 5c+50$

When the students receive $7$ points for each correct part, the coefficient of $c$ changes, as the amount of points received per correct answer increases. Thus:

$s(c) = 7c+50$ .

6 0

3 years ago

Suppose in the population, the Anger-Out score for men is two points higher than it is for women. The population variances for m

tatuchka [14]

Answer:

a)= 2

b) 6.324

c) P= 0.1217

Step-by-step explanation:

a) The mean of the sampling distribution of X`1- X`2 denoted by ux`-x` = u1-u2 is equal to the difference between population means i.e = 2 ( given in the question)

b) The standard deviation of the sampling distribution of X`1- X`2 ( standard error of X`1- X`2) denoted by σ_X`1- X`2 is given by

σ_X`1- X`2 = √σ²/n1 +σ²/n2

Var ( X`1- X`2) = Var X`1 + Var X`2 = σ²/n1 +σ²/n2

so

σ_X`1- X`2 =√20 +20 = 6.324

if the populations are normal the sampling distribution X`1- X`2 , regardless of sample sizes , will be normal with mean u1-u2 and variance σ²/n1 +σ²/n2.

Where as Z is normally distributed with mean zero and unit variance.

If we take X`1- X`2= 0 and u1-u2= 2 and standard deviation of the sampling distribution = 6.324 then

Z= 0-2/ 6.342= -0.31625

P(-0.31625<z<0)= 0.1217

The probability would be 0.1217

8 0

2 years ago

A student drives 4.8-km trip to school and averages a speed of 22.6 m/s. on the return trip home, the student travels with an av

ArbitrLikvidat [17]

In this case, we cannot simply take the average speed by adding the two speeds and divide by two.

What we have to do is to calculate the time required going to school and the return trip home.

We know that to calculate time, we use the formula:

t = d / v

where,

d = distance = 4.8 km = 4800 m

v = velocity

Let us say that the variables related to the trip going to school is associated with 1, and the return trip home is 2. So,

t1 = 4800 m / (22.6 m / s)

t1 = 212.39 s

t2 = 4800 / (16.8 m / s)

t2 = 285.71 s

total time, t = t1 + t2

t = 498.1 s

Therefore the total average velocity is:

= (4800 m + 4800 m) / 498.1 s

= 19.27 m / s = 19.3 m / s

Answer:

19.3 m/s

4 0

3 years ago

Read 2 more answers

A recursive arithmetic sequence is defined ad f(1)=6, f(n+1)=f(n)+5 for n>1. The first four terms of the sequence are shown i

Dennis_Churaev [7]

Write the first few terms of the sequence.
f₁ = 6
f₂ = f₁ + 5 = 11
f₃ = f₂ + 5 = 16
f₄ = f₃ + 5 = 21
and so on

The sequence is
6, 11, 16, 21, ...,
This is an arithmetic sequence with a common difference of 5.

In function notation, the sequence is
$f_{n+1} = 6 + 5n, \\ \, n=0,1,2, \, ...,$

This represents the equation of a straight line with n as the independent variable and f as the dependent variable.
The slope is 5.
A graph of the line is shown below.

Answer:
The sequence is $f_{n+1} = 6 + 5n, \,\, n=0,1,2, \, ...,$
The slope is 5.

7 0

3 years ago

Read 2 more answers