Qual é a diferença entre as populações dos dois municípios mais populosos?

What are the next four terms in the following arithmetic sequence? (-7), (-2), 3, 8,... A. 18, 23, 28, 33 B. 13, 18, 23, 28 C. 8

Triss [41]

Ok..ur adding 5 each time to get the next term
so the next 4 terms are : 13, 18, 23, 28

5 0

3 years ago

NEED HELP WITH THESE QUESTIONS

amm1812

For this case we must solve the following questions:

Question 1:

We should simplify the following expression:

$\frac {\frac {m ^ 2 * n ^ 3} {p ^ 3}} {\frac {mp} {n ^ 2}} =$

Applying double C we have:

$\frac {m ^ 2 * n ^ 3 * n ^ 2} {mp * p ^ 3} =$

By definition of multiplication of powers of the same base we have to place the same base and add the exponents: $\frac {m ^ 2 * n ^ 5} {m * p ^ 4} =$

Canceling common terms:

$\frac {mn ^ 5} {p ^ 4}$

Answer:

Option A

Question 2:

We should simplify the following expression:

$\frac {3xyz ^ 2} {6y ^ 4} * \frac {2y} {xz ^ 4}$

So, we have:

$\frac {3xyz ^ 2 * 2y} {6y ^ 4 * xz ^ 4} =\\\frac {6xy ^ 2z ^ 2} {6y ^ 4xz ^ 4} =$

Simplifying common terms:

$\frac {1} {y ^ 2z ^ 2}$

Answer:

Option D

Question 3:

We factor the following expressions to rewrite the experience:

$r ^ 2 + 7r + 10$ : We look for two numbers that multiplied give 10 and added 7:

$(r + 5) (r + 2)$

$r ^ 2-5r-50:$ We look for two numbers that multiplied give -50 and added -5:

$(r-10) (r + 5)$

$3r-30 = 3 (r-10)$

Rewriting the given expression we have:

$\frac {(r + 5) (r + 2) * 3 (r-10)} {3 (r-10) (r + 5)} =$

We simplify common terms in the numerator and denominator we have:

$(r + 2)$

Answer:

Option D

4 0

3 years ago

Read 2 more answers

Raffle tickets were sold for a school fundraiser to parents, teachers, and students. 563 tickets were sold to teachers. 888 more

Llana [10]

Given :

Raffle tickets were sold for a school fundraiser to parents, teachers, and students. 563 tickets were sold to teachers. 888 more tickets were sold to students than to teachers. 904 tickets were sold to parents.

To Find :

How many tickets were sold to students.

Solution :

Ticket sold to teachers, T = 563 .

Ticket sold to parents, P = 904 .

Let, ticket sold to students are S.

Now, it is given that :

S = T + 904

S = 563 + 904

S = 1467 students

Therefore, tickets sold to students are 1467 .

Hence, this is the required solution.

6 0

2 years ago

Consider the hypothesis test below.

Pavel [41]

Answer:

$Z_{H0} =1.79$

p-value: 0.0367

Decision: Reject H₀

Step-by-step explanation:

Hello!

Hypothesis to test:

H₀:ρ₁-ρ₂=0

H₁:ρ₁-ρ₂>0

The statistic to use to test the difference between two population proportions is the approximation of Z

Z= (^ρ₁-^ρ₂)-(ρ₁-ρ₂) ≈N(0;1)

√ (^ρ₁(1-^ρ₁))/n₁)+(^ρ₂(1-^ρ₂)/n₂))

Z= (0.28-0.15)-0 = 1.79

√ (0.28(1-0.28)/200)+(0.15(1-0.15)/300)

p-value

Remember: The p-value is defined as the probability corresponding to the calculated statistic if possible under the null hypothesis (i.e. the probability of obtaining a value as extreme as the value of the statistic under the null hypothesis).

P(Z>1.79)= 0.0367

Conclusion:

Comparing the p-value against the significance level, you can decide to reject the null hypothesis.

I hope you have a SUPER day!

8 0

3 years ago

Systems of equations with graphing

OlgaM077 [116]

Answer:

x= negative 1 and 2/5 y=1 and 3/5

Step-by-step explanation:

1. Start by putting both equations into slope-intercept form. (y=mx+b)

-3x+3y=9

-3x+3x+3y=9+3x

3y=9+3x

3y/3=9+3x/3

y=3+x

2x-7y=-14

2x-2x-7y=-14-2x

-7y=-14-2x

-7y/-7=-14/-7-2x/-7

y=2+2/7x

2. Graph the equations and find where they intercept.

3 0

2 years ago

Read 2 more answers