Ask question

Ask question

All categories

3 years ago

13

A movie theater has a capacity of 241. The theater chargers $5 for children, $7 for students and $12 for adults. There are half

as many adults as there are children. If the total ticket sales was $1752, how many children/students/adults attended?

1 answer:

STatiana [176]3 years ago

7 0

70(5) + 175(8) + 35(4) =

350 + 1400 + 140 = 1890

You might be interested in

Nknjjhbvyugvtfituyjnjjjjjnnnnj

-Dominant- [34]

Answer:

indeed

Step-by-step explanation:

3 0

3 years ago

You are in $33 in eight hours at that rate how much would you earn in five hours

svp [43]

Answer:

20.625 dollars or about 20.63 dollars

Step-by-step explanation:

33/8 = 4.125

4.125 times 5 = 20.625

4 0

3 years ago

Pleasssssssseeee help

astra-53 [7]

Rates like $ per channel is a slope, "m". The added fee is a constant so it's the intercept "b".
y = mx + b

So for the first problem (9)
(a)
y = total cost in dollars
x = number of premium channels
y = 16x + 44
(b) when x = 3 channels
y = 16(3) + 44
y = 92 $

the second problem (10)
(a) every 4 years the tree grows by 12-9=3 ft
So the unit rate or slope will be 3 ft per 4 yrs, (3/4). You can see this also by solving for slope "m" using the given points (4,9) and (8,12).

x = number of years
y = height of tree in ft
y = (3/4)x + b
use one of the points to find the y-intercept "b".

9 = (3/4)(4) + b
9 = 3 + b
9 - 3 = b
6 = b
y = (3/4)x + 6

(b) when x = 16
y = (3/4)(16) + 6
y = 12 + 6
y = 18 ft

5 0

3 years ago

A truck whose bed is 2.5 m long, 1.5 m wide and 1.0 m high is delivering sand for a sand-sculpture competition. About how many t

telo118 [61]

2 trips. The volume of the truck bed is 3.75 cubic meters, and they need 7 cubic meters. 3.75 times 2 is 7.5 cubic meters. It cannot have less than a full trip, and it cannot transport the whole load in one trip, so in order for the whole load to be delivered, it is necessary for the truck to make 2 trips.

6 0

3 years ago

Read 2 more answers

Do political science classes require less writing than history classes? The 55 randomly selected political science classes assig

tia_tia [17]

Answer:

No, political science classes does not require less writing than history classes.

Step-by-step explanation:

We are given that the 55 randomly selected political science classes assigned an average of 19.6 pages of essay writing for the course. The standard deviation for these 55 classes was 4.8 pages.

The 50 randomly selected history classes assigned an average of 20.2 pages of essay writing for the course. The standard deviation for these 50 classes was 3.3 pages.

<em>Let </em> $\mu_1$ <em> = mean writing required by political science classes</em>

<em /> $\mu_2$ <em> = mean writing required by history classes</em>

SO, Null Hypothesis, $H_0$ : $\mu_1-\mu_2\geq0$ or $\mu_1\geq \mu_2$ {means that political science classes require more or equal writing than history classes}

Alternate Hypothesis, $H_A$ : $\mu_1-\mu_2$ or $\mu_1$ {means that political science classes require less writing than history classes}

The test statistics that will be used here is <u>Two-sample t test statistics</u> as we don't know about the population standard deviations;

T.S. = $\frac{(\bar X_1-\bar X_2)-(\mu_1-\mu_2)}{s_p\sqrt{\frac{1}{n_1}+\frac{1}{n_2} } }$ ~ $t__n__1+_n__2-2$

where, $\bar X_1$ = sample average writing for political science course= 19.6 pages

$\bar X_2$ = sample average writing for history course= 20.2 pages

$s_1$ = sample standard deviation for political science classes = 4.8 pages

$s_2$ = sample standard deviation for history classes = 3.3 pages

$n_1$ = sample of selected political science classes = 55

$n_2$ = sample of selected history classes = 50

Also, $s_p=\sqrt{\frac{(n_1-1)s_1^{2}+(n_2-1)s_2^{2} }{n_1+n_2-2} }$ = $\sqrt{\frac{(55-1)\times 4.8^{2}+(50-1)\times 3.3^{2} }{55+50-2} }$ = 4.154

So, <u><em>the test statistics</em></u> = $\frac{(19.6-20.2)-(0)}{4.154 \times \sqrt{\frac{1}{55}+\frac{1}{50} } }$ ~ $t_1_0_3$

= -0.739

<em>Now at 0.01 significance level, the t table gives critical value of -2.367 at 103 degree of freedom for left-tailed test. Since our test statistics is more than the critical value of t as -0.739 > -2.367, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.</em>

Therefore, we conclude that political science classes require more or equal writing than history classes.

8 0

3 years ago