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Crank
3 years ago
6

As part of a statistics project, a teacher brings a bag of marbles containing 600 white marbles and 300 red marbles. She tells t

he students the bag contains 900 total marbles, and asks her students to determine how many red marbles are in the bag without counting them. A student randomly draws 150 marbles from the bag. Of the 150 marbles, 54 are red. The data collection method can best be described as Survey Controlled study Clinical study Census The target population consists of The 300 red marbles in the bag The 900 marbles in the bag The 150 marbles drawn by the student The 54 red marbles drawn by the student None of the above The sample consists of The 54 red marbl
Mathematics
1 answer:
aev [14]3 years ago
4 0

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Please answer this in two minutes
diamong [38]

Answer:

366.6 mm²

Step-by-step explanation:

Step 1: find XY using the Law of sines.

Thus,

\frac{XY}{sin(W)} = \frac{WY}{sin(X)}

m < W = 180 - (70+43) (sum of angles in a triangle)

W = 180 - 113 = 67°

WY = 24 mm

X = 43°

XY = ?

\frac{XY}{sin(67)} = \frac{24}{sin(43)}

Cross multiply:

XY*sin(43) = 24*sin(67)

XY*0.68 = 24*0.92

Divide both sides by 0.68 to solve for XY

\frac{XY*0.68}{0.68} = \frac{24*0.92}{0.68}

XY = 32.47

XY ≈ 32.5 mm

Step 2: find the area using the formula, ½*XY*WY*sin(Y).

Area = ½*32.5*24*sin(70)

Area = ½*32.5*24*0.94

= 32.5*12*0.94

Area = 366.6 mm² (nearest tenth)

6 0
3 years ago
The width of a rectangle is y feet long. The rectangle is 4 feet longer than it is wide. What is the area of the rectangle?
mario62 [17]

Answer:

if breadth is y feet long

let length be y+4

Step-by-step explanation:

therefore,

area=(4+y)*y

area=4y+y2

4 0
4 years ago
Read 2 more answers
On the 1st of January 2014, Carol invested some money in a bank account. The account pays 2.5% compound interest per year. On th
cluponka [151]
She started with x.
After 1 year, she had 1.025x.
She withdrew <span>£1000, so now she has 1.025x - 1000.
Then it earned interest for 1 year and ended up as </span>1.025(1.025x - 1000).
The actual amount of money was £23 517.60.
Therefore,

<span>1.025(1.025x - 1000) = 23517.60

1.025x - 1000 = 22 944

1.025x = 23 944

x = 23 360

Her original deposit was </span><span>£23 360</span>
5 0
3 years ago
What is the slope of 6x-3y=18??
dolphi86 [110]
the \ slope \ intercept \ form \ is : \\  \\ y= mx +b \\ \\6x-3y=18 \\ \\-3y=-6x+18 \ \ /:(-3)\\ \\y=\frac{-6}{-3}x + \frac{18}{-3} \\ \\y=2x-6 \\ \\ m = 2
6 0
3 years ago
Nick biked 5 miles when he was training for a race. How many feet did he bike?
GarryVolchara [31]
26400 ft Nick biked. 5 times 5280 gives you 26400 ft.
6 0
3 years ago
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