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2 years ago

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A single ticket to the magic show costs ttt dollars, but there is a discount of 5\%5%5, percent per ticket if a group buys 10101

0 tickets. The expression 10t-10\cdot 0.05t10t−10⋅0.05t10, t, minus, 10, dot, 0, point, 05, t describes the total cost of buying 101010 tickets for a group. Match each amount in the situation with the expression that represents it. Situation Expression

2 answers:

valentina_108 [34]2 years ago

6 0

Answer: 10 t -0.5 t is the total cost of the ticket for the group of 10 people after getting discount.

Where 10 t is the initial cost of ticket without discount and 0.5 t is the total discount.

Step-by-step explanation:

Here, t represents the cost of one ticket.

Therefore, For 10 person the cost of the ticket = 10 t

And, According to the question, there is a discount of 5% percent per ticket if a group buys 10 tickets.

Thus, the discount for the group of ten people = 5% of 10 t = 0.5 t

The the total cost for the group of ten people after getting the discount = 10 t - 0.5 t

Nikolay [14]2 years ago

4 0

the answer is below.....

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A manufacturer of paper coffee cups would like to estimate the proportion of cups that are defective (tears, broken seems, etc.)

Maksim231197 [3]

Answer:

a

The 95% confidence interval is $0.0503 < p < 0.1297$

b

The sample proportion is $\r p = 0.09$

c

The critical value is $Z_{\frac{\alpha }{2} } = 1.96$

d

The standard error is $SE =0.020$

Step-by-step explanation:

From the question we are told that

The sample size is n = 200

The number of defective is k = 18

The null hypothesis is $H_o : p = 0.08$

The alternative hypothesis is $H_a : p > 0.08$

Generally the sample proportion is mathematically evaluated as

$\r p = \frac{18}{200}$

$\r p = 0.09$

Given that the confidence level is 95% then the level of significance is mathematically evaluated as

$\alpha = 100 - 95$

$\alpha = 5\%$

$\alpha = 0.05$

Next we obtain the critical value of $\frac{ \alpha }{2}$ from the normal distribution table, the value is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the standard of error is mathematically represented as

$SE = \sqrt{\frac{\r p (1 - \r p)}{n} }$

substituting values

$SE = \sqrt{\frac{0.09 (1 - 0.09)}{200} }$

$SE =0.020$

The margin of error is

$E = Z_{\frac{ \alpha }{2} } * SE$

=> $E = 1.96 * 0.020$

=> $E = 0.0397$

The 95% confidence interval is mathematically represented as

$\r p - E < \mu < p < \r p + E$

=> $0.09 - 0.0397 < \mu < p < 0.09 + 0.0397$

=> $0.0503 < p < 0.1297$

7 0

2 years ago

Franklin rides his bike to the beach averaging 18mph. He rides home along the same route. What speed must he average on the way

Sedaia [141]

<em>Answer:</em>

<em> 24 mph</em>

<em>Step-by-step explanation:</em>

<em>Hi there ! </em>

<em>Vm = 21mph</em>

<em>V1 = 18mph</em>

<em>V2 = ?</em>

<em>Vm = (V₁ + V₂)/2</em>

<em>2Vm = V₁ + V₂</em>

<em>V₂ = 2Vm - V₁</em>

<em>replace Vm ; V₁</em>

<em>V₂ = 2×21mph - 18mph</em>

<em>= 42mph - 18mph</em>

<em>= 24 mph</em>

<em>Good luck !</em>

8 0

2 years ago

Stefan's family rented a rototiller to prepare an area in their backyard for spring planting. The rental company charged an init

BaLLatris [955]

Answer: the hourly fee for the rototiller is $3

Step-by-step explanation:

Let h represent the hourly fee for renting the rototiller.

The rental company charged an initial fee of $43 with an additional fee per hour. Assuming that they rented the rototiller for x hours. This means that if they rented the rototiller for x hours, the total amount that they would pay is

43 + hx

If they paid $64 after renting the rototiller for 7 hours, the equation that models this problem would be

43 + 7h = 64

7h = 64 - 43 = 21

h = 21/7 = $3

8 0

2 years ago

Read 2 more answers

A) The ratio 20 minutes to 1 hour can be written in the form 1:n.

Fudgin [204]

Answer:

a) 1:3

b) 9:225,000

Step-by-step explanation:

A)

1 hour is equal to 60 minutes. Written as a fraction it would look like

$\frac{20}{60}$ which would be equal to $\frac{1}{3}$ , or $1:3$

B)

Just multiply both sides of the ratio by 9, you will get $9:225,000$

Hope I helped, please mark as brainliest! Have a good day!

7 0

2 years ago

When a water tank is $30\%$ full, it contains 27 gallons less than when it is $20\%$ empty. How many gallons of water does the t

aksik [14]

Answer:

54 gallons

Step-by-step explanation:

Let x represent the volume of the full tank.

When the water tank is 30% full;

= 30% of x = 0.30x

when it is 20% empty:

= x - 20% of x = x - 0.20x = 0.80x

The difference is given as 27.

So, we can represent the question on an equation as;

0.80x - 0.30x = 27

Solving the equation, we have;

0.50x = 27

x = 27/0.50

x = 54 gallons

The tank can hold 54 gallons when it is full.

3 0

2 years ago

Read 2 more answers