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Temka [501]
3 years ago
12

Create an equation and solve. The cost of a concert ticket for a student is $2 less than one half of the cost for an adult. The

cost of the student ticket is $5. Let ‘a’ represent the cost of an adult ticket. Write and solve an equation to determine the cost of an adult ticket.
Mathematics
1 answer:
Sonja [21]3 years ago
7 0

Answer: a=14

Step-by-step explanation:

Equation: 5=1/2a-2

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You are testing the claim that the mean GPA of night students is different from the mean GPA of day students. You sample 30 nigh
kirill [66]

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. The population standard deviations are not known. Let μ1 be the mean GPA of night students and μ2 be the mean GPA of day students.

The random variable is μ1 - μ2 = difference in the mean GPA of night students and the mean GPA of day students.

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 ≠ μ2 H1 : μ1 - μ2 ≠ 0

This is a two tailed test.

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(x1 - x2)/√(s1²/n1 + s2²/n2)

From the information given,

μ1 = 2.35

μ2 = 2.58

s1 = 0.46

s2 = 0.47

n1 = 30

n2 = 25

t = (2.35 - 2.58)/√(0.46²/30 + 0.47²/25)

t = - 1.8246

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [0.46²/30 + 0.47²/25]²/[(1/30 - 1)(0.46²/30)² + (1/25 - 1)(0.47²/25)²] = 0.00025247091/0.00000496862

df = 51

We would determine the probability value from the t test calculator. It becomes

p value = 0.0746

Since alpha, 0.05 < than the p value, 0.0746, then we would fail to reject the null hypothesis.

3 0
3 years ago
2/3 of a class is girls<br>a) What is the ratio girls to boys in the class?​
Mice21 [21]

Answer:

3:2

Step-by-step explanation:

2 boys for every 3 girls

4 0
3 years ago
A homeowner has two smoke detector alarms installed, one in the dining room (adjacent to the kitchen) and one in an upstairs bed
cestrela7 [59]

Answer:

0.97

Step-by-step explanation:

Given that a homeowner has two smoke detector alarms installed, one in the dining room (adjacent to the kitchen) and one in an upstairs bedroom (above the kitchen). If cooking produces smoke in the kitchen, the probability of setting off the dining room alarm (D) is .95. The probability of setting off the bedroom alarm (B) is .40.

Both alarms are independent of each other.

Probability for smoke detection=P(any one alarm rings)

=P(Kitchen alarm sets off)+P(bed room alarm sets off)-P(Both sets off)

Since both are independent

P(Both) = 0.95*0.40\\=0.38

Probability for smoke detection

= 0.95+0.40-0.38

=0.97

7 0
3 years ago
A pile of sand has a weight of 90kg.
Elodia [21]

Answer:

52.5 kg ANS

Step-by-step explanation:

Weight of a pile of sand = 90kg

Ratio of weight of sand in three bags = 2:3:7

Let the weight be 2x kg, 3x kg, 7x kg respectively A.T.Q.

= 2x + 3x +7x = 90

= 12x = 90

= X= 90/12

= X = 7.5 kg

Weight of sand in medium bag =

= 3 × 7.5

= 52.5 kg ANS

I hope this answer is correct

4 0
3 years ago
Your tea her will grade your response 4-8 to ensure you receive proper credit
svlad2 [7]

Answer:

k = 73

Step-by-step explanation:

The sum of all the angles in a triangle is  180  degrees.

62 °  +  k +  45 °  =  180

Solve the equation for k

Add  62 °  and  45 °

k +  107  =  180

Move all terms not containing  C  to the right side of the equation.

Subtract  107  from both sides of the equation.

k  =  180  −  107

Subtract

k  =  73

4 0
3 years ago
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