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Novay_Z [31]
3 years ago
5

Emma is an artist and has created seven paintings. She plans to paint three additional paintings each week. What statements are

true of this scenario? Check all that apply.
Mathematics
2 answers:
Stella [2.4K]3 years ago
4 0

The dependent variable is the total number of paintings.

The total number of paintings depends on the number of weeks that have passed.

This scenario is a function because for each week that passes, there will be exactly one total number of paintings.

Katena32 [7]3 years ago
3 0
The dependent variable is the total number of paintings.

The total number of paintings depends on the number of weeks that have passed.

<span>This scenario is a function because for each week that passes, there will be exactly one total number of paintings.</span>
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The ratio of boys to girls in the class is 5 to 6. If there are 85 boys in the school, how many girls number of students are in
Degger [83]

Answer:

There are 55 girls in the School

Step-by-step explanation:

5×6=30

85-30=55

6 0
3 years ago
1+x+x²<br>please explain​
oee [108]
What is the question?
4 0
3 years ago
A geyser is a hot spring that periodically erupts a mixture of hot water and steam. Old Faithful in Yellowstone National Park is
vfiekz [6]

Answer:

Check the explanation

Step-by-step explanation:

Open file in excel.

Click on Data->Data Analysis and select Regression.

Enter wait time data range in y-variable.

Enter Duration data range in x-variable.

Click ok.

From above output:

#1 The equation of the linear regression line is:

A 95% confidence interval for the slope of the regression line is:

{(10.110,11.349)}

In excel, ise formula =FORECAST(6,wait time data range, duration data range) and press enter. The wait time between eruptions following a 6 minute eruption is \hat{Y}_{x=6}= 97.9} .

Since (for F test) p-value=0.000 , we can conclude that there is a statistically significant linear relationship between the duration of the eruptions and the wait time between eruptions.

The correct null and alternative hypotheses for this analysis:

{ H_0:\beta_1=0 \ H_a:\beta_1\ne 0}

Kindly check the output below

4 0
3 years ago
84 is what percent of 105?
Nitella [24]

Answer: 80%

Step-by-step explanation:

How much is 84 out of 105 written as a percentage? Convert fraction (ratio) 84 / 105 Answer: 80%

3 0
3 years ago
Given sets A and B, prove that the following two conditions are equivalent: (1) A \ B = B \ A, (2) A = B.
Jet001 [13]

Answer:

See proof below

Step-by-step explanation:

Remember that if we want to prove that two propositions P and Q are equivalent, we have to prove that P implies Q and Q implies P.

(1)→(2) Suppose that A \ B = B \ A, we will prove that A = B. Let x∈A, and for the sake of a contradiction suppose that x∉B. Then x∈A \ B by definition of difference of sets. Since A \ B = B \ A and x∈A \ B then x∈B \A, that is, x∈B and x∉A, which is a contradiction to the first assumption regarding x. Therefore x∈B, for all x∈A, which implies that A⊆B.

We can use a similar argument to prove that B⊆A, and both inclusions imply that A=B as we wanted to prove. Indeed, let x∈B, and suppose that x∉A Thus x∈B \ A. But A \ B = B \ A, then  x∈A \B, that is, x∈A and x∉B, which is absurd. Then x∈A, for all x∈B, that is, B⊆A.  

(2)→(1). Suppose that A = B. We will prove that A \ B = B \ A. By definition,  A \ B is the set of elements of A that do not belong to B. However, A=B, so A \ B is the set of elements of A that do not belon to A. There no exists such an element, since this condition is contradictory, thus A \ B=∅, the empty set. Similarly, B \ A = B \ B = ∅. The empty set is unique, therefore A \ B=∅=  B \ A.

The previous parts show that (1) and (2) are logically equivalent.

7 0
3 years ago
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