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musickatia [10]
3 years ago
14

Write the point-slope equation of the line that contains the point (1, -4) and has slope - 1/3.​

Mathematics
1 answer:
MAXImum [283]3 years ago
5 0

Answer:

work shown and pictured

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An increase in walking has been shown to contribute to a healthier life-style. A sedentary American takes an average of 5000 ste
Zielflug [23.3K]

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 5000

For the alternative hypothesis,

H1: µ > 5000

Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = population standard deviation

n = number of samples

From the information given,

µ = 5000

x = 5430

σ = 600

n = 40

z = (5430 - 5000)/(600/√40) = 4.53

Looking at the normal distribution table, the probability corresponding to the z score is < 0.0001

Since alpha, 0.05 > than the p value, then we would reject the null hypothesis. Therefore, at a 5% level of significance, it can be concluded that they walked more than the mean number of 5000 steps per day.

6 0
2 years ago
A computer store is having a sale, with 15 % off all computer games. The game usually costs $220. How much does the computer gam
Harman [31]

Answer:

33 dollars.

Step-by-step explanation:

220 times 15/100=165/5=33

hopefully this helps!:)

please give me brainliest because I have never gor it before.

7 0
2 years ago
The graph of g(x) resembles the graph of f(x)=x^2, but it has been changed. Which of these is the equation of g(x)?
siniylev [52]

Answer:

A.

Step-by-step explanation:

Anwer A has the following equation:

g(x)=\frac{3}{5}x^2-3

In this equation, we can calculated the intercept replacing x by 0, as:

g(x)=\frac{3}{5}0^2-3=-3

if this is the answer, the graph of g(x) should be through the point (0,-3) and that happens.

Additionally, the roots of the equations are calculated replacing g(x) by 0 and solving for x, so:

0=\frac{3}{5}x^2-3\\x_1=\sqrt{5}=2.236\\x_2=-\sqrt{5}=-2.236

It means that the graph of g(x) should be through the points (2.236,0) and (-2.236,0) and that happens too.

So, the answer is A, g(x)=\frac{3}{5}x^2-3

7 0
3 years ago
Which equation has 4 as a possible value of y? ^2=8 y^3=8 y^2=16 y^3=16
zepelin [54]
The Y^2 because 4 to the power of 2 would give you 4x4 which gives you 16
4 0
2 years ago
2x + 5<br> Find the val<br> 3x+15
Crank

Answer:

<u>Step 1:  Find the x</u>

2x + 5:  Solve

2x + 5 - 5 = 0 - 5

2x / 2 = -5 / 2

x = -5/2

3x + 15:  Solve

3x + 15 - 15 = 0 - 15

3x / 3 = -15 / 3

x = -5

3 0
3 years ago
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