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3 years ago

25 POINTS

Mathematics

1 answer:

kramer3 years ago

3 0

Finding the volume of a cone (V=1/3 x pi x r^2 x h, where r is the radius and h is the height.
You will substitute in the information you know and then solve for the radius(r).

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April sold 75 tickets to the school Christmas play and collected $495. If adult tickets cost $8 and children tickets were $5 how

Ostrovityanka [42]

40 adult tickets were sold and 35 children tickets were sold

<em><u>Solution:</u></em>

Let "a" be the number of adult tickets sold

Let "c" be the number of children tickets sold

Cost of 1 adult ticket = $ 8

Cost of 1 children ticket = $ 5

<em><u>Given that April sold 75 tickets to the school Christmas play and collected $495</u></em>

Number of tickets sold = 75

number of adult tickets sold + number of children tickets sold = 75

a + c = 75 ----- eqn 1

<em><u>Given that April collected $495</u></em>

Thus we can frame a equation as:

number of adult tickets sold x Cost of 1 adult ticket + number of children tickets sold x Cost of 1 children ticket = $ 495

$a \times 8 + c \times 5 = 495$

8a + 5c = 495 ----- eqn 2

<em><u>Let us solve eqn 1 and eqn 2 to find values of "a" and "c"</u></em>

From eqn 1,

a = 75 - c ---- eqn 3

Substitute eqn 3 in eqn 2

8(75 - c) + 5c = 495

600 - 8c + 5c = 495

-3c = 495 - 600

-3c = - 105

Substitute c = 35 in eqn 3

a = 75 - 35

Thus 40 adult tickets were sold and 35 children tickets were sold

8 0

3 years ago

PLEASE HELP I NEED HELPPPPPP

seraphim [82]

I was working on it until I saw it was only 5 points. Sorry bro

5 0

3 years ago

7.66. Buses from Dallas to Houston leave every hour on the hour. Buses from Houston to Dallas leave every hour on the half hour.

LUCKY_DIMON [66]

Tneeukjru lbd. gjfej

3 0

2 years ago

Read 2 more answers

Automobile mechanics conduct diagnostic tests on 150 new cars of a particular make and model to determine the extent to which th

Aleks04 [339]

Answer:

99% Confidence interval: (0.185,0.375)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 150

Number of cars that have faulty catalytic converters, x = 42

$\hat{p} = \dfrac{x}{n} = \dfrac{42}{150} = 0.28$

99% Confidence interval:

$\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.01} = \pm 2.58$

Putting the values, we get:

$0.28\pm 2.58(\sqrt{\frac{0.28(1-0.28)}{150}}) = 0.28\pm 0.095\\\\=(0.185,0.375)$

The 99% confidence interval for the true proportion of new cars with faulty catalytic converters is (0.185,0.375)

8 0

3 years ago

The minimun point on the graph of the equation y=f(x) is -1,-3. What is the minimum point on the graphof the equation y=f(x-5)

kap26 [50]

The minimum point on the graph of the equation y=f(x-5) is (-6, -3)

<h3>How to determine the minimum?</h3>

The initial minimum is given as:

(-1, -3)

The transformation y = f(x - 5) means that:

(x, y) = (x - 5, y)

So, we have:

(x, y) = (-1 - 5, -3)

Evaluate

(x, y) = (-6, -3)

Hence, the minimum point on the graph of the equation y=f(x-5) is (-6, -3)