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Paul [167]
3 years ago
11

DATA MANAGEMENT GRADE 12! HELP

Mathematics
1 answer:
Mashcka [7]3 years ago
4 0
There are winnings of $50 ( 60% ), $100 ( 20% ) and $1,000 ( 2% ).
$50 * 0.6 = $30
$100 * 0.2 = $20
$1,000 * 0.02 = $20
$30 + $20 + $20 = $70
Answer: The expected payout per fan is $70.
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Henry's uncle from Japan promised to give him 35 g of gold. The local jewelry exchange will buy gold for $1224 per ounce. How mu
galina1969 [7]

Answer:

$1530

Step-by-step explanation:

First of all, it is required to convert 35g of gold into ounce.

Since,

1 oz = 28 g

or, we can write,

1 g = \frac{1}{28} oz

Now, for 35 g of gold, we can write,

35 * 1 g = 35 * \frac{1}{28} oz\\35 g = 1.25 oz

Since, local jewelry will buy at $ 1224 per oz, and we have 1.25 oz of gold, so,

1.25 * 1244\\$1530

4 0
3 years ago
Read 2 more answers
Which best describes the structure outlined in the bridge.
Arisa [49]

Answer:D

Step-by-step explanation:

6 0
2 years ago
What are the resulting coordinates of triangle A′B′C′ after reflecting triangle ABC across the origin if the vertices of triangl
Roman55 [17]

Answer:

C

Step-by-step explanation:

When reflecting across the origin, negetives become positives and positives become negetives.

Hope that helps!

6 0
2 years ago
The product of 12 and k is 84.<br><br> Solve for k.
Mrac [35]

Answer:

The product of 12 and k is 84

According to the given problem, the equation is

\boxed{12k = 84} \\ k =  \frac{84}{12}  \\  \boxed{k = 7}

  • <u>k = 7</u> is the right answer.
5 0
2 years ago
A tunnel is built in form of a parabola. The width at the base of tunnel is 7 m. On
anastassius [24]

Given:

The width at the base of parabolic tunnel is 7 m.

The ceiling 3 m from each end of the base there are light fixtures.

The height to light fixtures is 4 m.

To find:

Whether it is possible a trailer truck carrying cars is 4 m wide and 2.8 m high is going to drive through the tunnel.

Solution:

The width at the base of tunnel is 7 m.

Let the graph of the parabola intersect the x-axis at x=0 and x=7. It means x and (x-7) are the factors of the height function.

The function of height is:

h(x)=ax(x-7)             ...(i)

Where, a is a constant.

The ceiling 3 m from each end of the base there are light fixtures and the height to light fixtures is 4 m. It means the graph of height function passes through the point (3,4).

Putting x=3 and h(x)=4 in (i), we get

4=a(3)((3)-7)

4=a(3)(-4)

\dfrac{4}{(3)(-4)}=a

-\dfrac{1}{3}=a

Putting a=-\dfrac{1}{3}, we get

h(x)=-\dfrac{1}{3}x(x-7)              ...(ii)

The center of the parabola is the midpoint of 0 and 7, i.e., 3.

The width of the truck is 4 m. If is passes through the center then the truck must m 2 m on the left side of the center and 2 m on the right side of the center.

2 m on the left side of the center is x=1.5.

A trailer truck carrying cars is 4 m wide and 2.8 m high is going to drive through the tunnel is possible if h(1.5) is greater than 2.8.

Putting x=1.5 in (ii), we get

h(1.5)=-\dfrac{1}{3}(1.5)(1.5-7)

h(1.5)=-(0.5)(-5.5)

h(1.5)=2.75

It is clear that h(1.5)<2.8, therefore the trailer truck carrying cars is 4 m wide and 2.8 m high is going to drive through the tunnel is not possible.

4 0
3 years ago
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