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suter [353]
2 years ago
6

A density curve for all the possible ages between 0 years and 50 years is in the shape of a triangle. What is the height of the

triangle? O A. 0.04 O B. 0.02 O c. 0.01 O D. 0.08 SUBMIT​

Mathematics
1 answer:
Alex_Xolod [135]2 years ago
5 0

Answer:

0.04

Step-by-step explanation:

For a density curve, total area = 1

Probability lies in between 0 and 1

The Area of triangle :

Area = 1/2 base * height

Base = 0 - 50 = 50

Area = 1

Hence,

1 = 1/2 * 50 * h

1 = 50h / 2

2 = 50h

h = 2 / 50

h = 0.04

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At the movie theatre, child admission is $5.30 and adult admission is $9.70. On Wednesday, 156 tickets were sold for a total sal
serious [3.7K]

Answer:

The number of adult tickets are 57.

Step-by-step explanation:

Given,

Total number of tickets = 156

Total money = $1077.60

Solution,

Let the number of adult be x and of child be y .

So, Total number of tickets = Number of adults + Number of child

\therefore x+y = 156\ \ \ \ \ \ equation\ 1

Now, according to question;

Total money = Number\ of\ adults\times admission\ fee + Number\ of\ child\times admission\ fee

\therefore x\times 9.70+y\times 5.30 = 1077.60\ \ \ \ \ \ equation\ 2

On multiplying by 10 on both side, we get;

97x+53y=10776\ \ \ \ \ \ equation\ 3

Now multiplying equation 1 by 53 then subtract it from equation 3, we get;

(x+y)\times53 = 156\times53\\53x+53y=8268\\(97x+53y=10776)-(53x+53y=8268)\\44x=2508\\x=\frac{2508}{44} =57

Since x is the  number of adults,

Number of adults=57

Number of child = y = 156-57=99

Thus the number of adult tickets are 57.

7 0
3 years ago
Jerry says I've got my money in a great account that compounds interest monthly. The equation y=388 (1.008) represents how much
zheka24 [161]

Answer:

(a)His monthly Interest Rate=0.8%

(b)Annual Interest Rate = 9.6%

(c)500(1.008)^m

Step-by-step explanation:

For a Principal P invested at a yearly rate r, compounded m times in t years

Amount at Compound Interest= P(1+\frac{r}{m})^{mt}

Comparing with Jerry's equation y=388 (1.008)

(a)His monthly Interest Rate= 0.008=0.8%

(b)Annual Interest Rate= Monthly Interest Rate X 12 =0.8 X 12 = 9.6%

(c)If I invest $500 at the same rate of return,

Total Money after m months

= P(1+\frac{r}{m})^{mt}=500(1+0.008)^{m}=500(1.008)^m

7 0
3 years ago
Is 0.8 miles more than 0.69
cestrela7 [59]
Yes, because there are zeros after the 8. 0.8 miles is equal to 0.80 miles, which is larger than 0.69 miles
5 0
3 years ago
Read 2 more answers
-3x=6x + 2 solve for x
AnnyKZ [126]

Answer:

Step-by-step explanation:

6x+3x= -2

9x= -2

x= -2/9

8 0
3 years ago
Read 2 more answers
This is so confusing
Vitek1552 [10]
The answer to this question is H. I hoped I helped you.
4 0
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