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uysha [10]
3 years ago
15

Carter and Carson work at a furniture store. Carter is paid $195 per week plus 10% of his total sales in dollars, xx, which can

be represented by g(x)=195+0.1xg(x)=195+0.1x. Carson is paid $367 per week plus 6% of his total sales in dollars, xx, which can be represented by f(x)=367+0.06xf(x)=367+0.06x. Determine the value of xx, in dollars, that will make their weekly pay the same
Mathematics
1 answer:
azamat3 years ago
8 0

Answer:

Step-by-step explanation:

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7HELP________________
tatuchka [14]

Answer:

The statement If ∠A ≅ ∠C not prove that Δ ABD ≅ Δ CBD by SAS ⇒ C

Step-by-step explanation:

* Lets revise the cases of congruence  

- SSS  ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ  

- SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and  

 including angle in the 2nd Δ

- ASA ⇒ 2 angles and the side whose joining them in the 1st Δ

 ≅ 2 angles and the side whose joining them in the 2nd Δ

- AAS ⇒ 2 angles and one side in the first triangle ≅ 2 angles

 and one side in the 2ndΔ

- HL ⇒ hypotenuse leg of the first right angle triangle ≅ hypotenuse  

 leg of the 2nd right angle Δ

* Lets solve the problem

- In the 2 triangles ABD , CBD

∵ AB = CB

∵ BD is a common side in the two triangles

- If AD = CD

∴ Δ ABD ≅ Δ CBD ⇒ SSS

- If BD bisects ∠ABC

∴ m∠ABD = m∠CBD

∴ Δ ABD ≅ Δ CBD ⇒ SAS

- If ∠A = ∠C

∴ Δ ABD not congruent to Δ CBD by SAS because ∠A and ∠C

  not included between the congruent sides

* The statement If ∠A ≅ ∠C not prove that Δ ABD ≅ Δ CBD by SAS

5 0
3 years ago
Can I also get some help with this one as well? I'll do the rest. see previous post for the question. Thanks! #8 and #10. ​
Lelu [443]

Answer:

8. (10/7)x^(0.7) +C

10. (x^-2)/2 -x^-1 +C

Step-by-step explanation:

The integral of x^a is x^(a+1)/(a+1).

8. a = -.3, so the integral is x^0.7/0.7

___

10. This is the difference of two integrals, one with a=-2; the other with a=-3, so ...

the integral is (x^-1)/(-1) -(x^-2)/(-2)

_____

Of course, an arbitrary constant is added to each result to complete the indefinite integral.

8 0
4 years ago
J
Sever21 [200]

Answer:

type question correctly

Step-by-step explanation:

I will help you

6 0
3 years ago
What is 21 -10<br> Help I’m in first grade
ale4655 [162]

Answer:

21-10 is 11

11+10 is 21

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
It is known that 50% of adult workers have a high school diploma. If a random sample of 8 adult workers is selected, what is the
son4ous [18]

Answer:

85.56% probability that less than 6 of them have a high school diploma

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have a high school diploma, or they do not. The probability of an adult having a high school diploma is independent of other adults. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

50% of adult workers have a high school diploma.

This means that p = 0.5

If a random sample of 8 adult workers is selected, what is the probability that less than 6 of them have a high school diploma

This is P(X < 6) when n = 8.

P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{8,0}.(0.5)^{0}.(0.5)^{8} = 0.0039

P(X = 1) = C_{8,1}.(0.5)^{1}.(0.5)^{7} = 0.0313

P(X = 2) = C_{8,2}.(0.5)^{2}.(0.5)^{6} = 0.1094

P(X = 3) = C_{8,3}.(0.5)^{3}.(0.5)^{5} = 0.2188

P(X = 4) = C_{8,4}.(0.5)^{4}.(0.5)^{4} = 0.2734

P(X = 5) = C_{8,5}.(0.5)^{5}.(0.5)^{3} = 0.2188

P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.0039 + 0.0313 + 0.1094 + 0.2188 + 0.2734 + 0.2188 = 0.8556

85.56% probability that less than 6 of them have a high school diploma

7 0
3 years ago
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