True or False The set of even integers less than 0 a finite set.

How does f(x) = 3* change over the interval x = 4 to x = 57

Vilka [71]

f(x) increase by a factor of 3

Explanation:

Given that f(x)= 3* and the interval is x=4 to x=57

Now we put the value for x is 4 to 57 then value of f(x) increase with the multiply of 3.

Because the x is multiplied with 3 i.e., 3*

So f(x) increase by a factor of 3.

If we put x=4, then f(x)= 12 (∵ 3×4=12)

If we put x=5, the f(x)= 15 (∵ 3×5=15)

If we put x=6,the f(x)= 18 (∵ 3×6=18)

similarly., values of x= 7,8,9,...155.

Then,

If we put x=56, the f(x)=168

This process will continue until f(x)=171 for x=57.

6 0

3 years ago

An artist mixes paint to make new colors.

Tems11 [23]

Answer:

The artist can make six batches of orange paint and it remains one cup of yellow paint

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Amount of red paint for one batch of orange paint = 1/3 of a cup

Amount of yellow paint for one batch of orange paint= 1/3 of a cup

Amount of red paint available = 2 cups

Amount of yellow paint available = 3 cups

2. How many batches of orange paint can she make?

2 cups of red paint = 6/3 = 6 batches of orange paint

3 cups of yellow paint = 9/3 = 6 batches and it remains one cup of yellow paint

The artist can make six batches of orange paint and it remains one cup of yellow paint

Step-by-step explanation:

7 0

2 years ago

Evrey

Elza [17]

Explain well please....

6 0

2 years ago

Read 2 more answers

Graph the parabola: y=-(x - 1)? +3 What will the graph look like

zalisa [80]

Answer:

HOPE IT HELPS YOU ! ! !

8 0

3 years ago

Computer output from a regression analysis is provided. Coefficients: Estimate Std. Error t value p-value (Intercept) 7.2960 14.

Crazy boy [7]

Answer:

Step-by-step explanation:

Hello!

You need to test the hypothesis that the slope of the regression is cero.

I've run in the statistic software the given data for Y and X and estimated the regression line:

Yi= 7.82 -1.60Xi

Where

a= 7.82

b=-1.60

Sb= 3.38

The hypothesis is:

H₀: β = 0

H₁: β ≠ 0

α: 0.05

This is a two-tailed test, the null hypothesis states that the slope of the regression is cero, this means that if the null hypothesis is true, there is no linear regression between Y and X.

The statistic for this test is a Student-t

t= b - β ~t $_{n-2}$

Sb

The critical values are:

Left: $t_{n-2; \alpha /2} = t_{2; 0.025} = -4.303$

Right: $t_{n-2; \alpha /2} = t_{2; 0.975} = 4.303$

t= -1.60 - 0 = -0.47

3.38

the p-value is also two-tailed, you can calculate it by hand:

P(t ≤ -0.47) + (1 - P(t ≤ 0.47) = 0.3423 + (1 - 0.6603) =0.6820

With the level of significance of 5%, the decision is to not reject the null hypothesis. This means that the slope of the regression is equal to cero, i.e. there is no linear regression between the two variables.

I hope this helps!

6 0

3 years ago