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inessss [21]
3 years ago
8

Sara has 50 dollars to spend at an amusement park. Admission is 20 dollars, and tickets cost 1.50 per ride. Write an equation to

determine how many tickets Sarah can purchase.
Mathematics
1 answer:
ra1l [238]3 years ago
4 0

Answer:

20

Step-by-step explanation:

50 - 20 = 30

30 ÷ 1.50 = 20

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The mean income per person in the United States is $44,500, and the distribution of incomes follows a normal distribution. A ran
Artist 52 [7]

Answer:

We conclude that the residents of Wilmington, Delaware, have higher income than the national average

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = $44,500

Sample mean, \bar{x} = $52,500

Sample size, n = 16

Alpha, α = 0.05

Sample standard deviation, s =  $9,500

a) First, we design the null and the alternate hypothesis

H_{0}: \mu = 44,500\text{ dollars}\\H_A: \mu > 44,500\text{ dollars}

We use one-tailed(right) t test to perform this hypothesis.

c) Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{52500 - 44500}{\frac{9500}{\sqrt{16}} } = 3.37

b) Rejection rule

If the calculated t-statistic is greater than the t-critical value, we fail to accept the null hypothesis and reject it.

Now,

t_{critical} \text{ at 0.05 level of significance, 15 degree of freedom } = 1.753

Since,                    

t_{stat} > t_{critical}

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis. We conclude that the residents of Wilmington, Delaware, have higher income  than the national average

5 0
3 years ago
Worth 20 points!! If you answer wrong or something not related to the question I will report you! Thanks :)
KonstantinChe [14]

A

f(x) = 2x + 1

f(3) = 2*3 + 1 = 7

B

g(x) = x^2

g(7) = 7^2

g(7)= 49

C

f(g(x)) = 2(g(x) + 1

f(g(x)) = 2 x^2 + 1

f(g(3) = 2* 3^2 + 1

f(g(3) = 19

D

g(f(x)) = (f(x))^2

g(f(x)) = (2x + 1)^2

g(f(3)) = (2*3 + 1)^2 = (6 + 1)^2 = 49

E

f(g(x)) = 2*g(x) + 1

f(g(x)) = 2*x^2 + 1

f(g(3)) = 2*3^2 + 1

f(g(3)) = 2 * 9 + 1

f(g(3)) = 18 + 1

f(g(3) = 19

F

f(g(x)) = 2(g(x)) + 1

f(g(x)) = 2*x^2 + 1  

4 0
3 years ago
Neveah orders a square pizza. 34 34 of the pizza has pepperoni. 23 23 of the pepperoni also has green peppers. How much of the w
astra-53 [7]

Answer:

1/2

Step-by-step explanation:

Given that:

3/4 of pizza has pepperoni

2/3 of the pizza with pepperoni has green pepper ;

The fraction of the whole pizza that has both pepperoni and green pepper ;

Fraction with pepperoni = 3/4

Fraction of whole with green pepper and pepperoni : 2/3 of 3/4 = 2/3 * 3/4 = (2*3) / (3*4) = 6/12 = 1/2

8 0
3 years ago
will give brainliest. Which of the binomials below is a factor of this trinomial? 3x^2+16x+ 5 A- 3x-5 B. 3x-1 C. 3x+1 D. 3x+5
Helen [10]

Answer: 3x + 1

Step-by-step explanation:

A p e x

4 0
3 years ago
Read 2 more answers
The two most commonly used systems of coordinates are the rectangular (or Cartesian) and the
IgorC [24]
The answer is B quadrant 

7 0
3 years ago
Read 2 more answers
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