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noname [10]
2 years ago
14

Marcus has three random samples of the same size from a population of 700 people. In one sample, 53% of people have a library ca

rd. In another, 51% of people have a library card. In the third, 43% have a library card. Based on the three samples, how many people with a library card should he expect are in the population?
a.301
b.357
c343
d.371
pls answer quick
Mathematics
1 answer:
Lapatulllka [165]2 years ago
5 0

Answer:

343

Step-by-step explanation:

Finding? How many people with a library card should he expect in the population?

Important? Population = 700. Sample 1= 53%. Sample 2 = 51%. Sample 3 = 43%.

How? Average the 3 samples percentages together. The percent sign tells us what the sample size is (% = out of 100). Set up the proportions for library card to sample size and then library card to population. Cross multiply.

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-5/7 x 1/5<br><br> please help
Molodets [167]

-5/7 x 1/5

-5 x 1 = -5

7 x 5 = 35

-5/35 = -1/7

Happy to help :P

3 0
2 years ago
Cindy shoots a bottle rocket straight up into the air such that its height h, in feet, at time t, in seconds, is given by the fu
dezoksy [38]

Answer:

t = [0.493,4.2]

Step-by-step explanation:

The height of the rocket straight up into the air is given by :

h(t)=-16t^2+85t+5

We need to find the interval the rocket be at least 43 feet above the ground.

43\ge -16t^2+85t+5\\\\t\ge 0.493\ and\ t\le 4.82\ s

So, the required interval during which the rocket is at least 43 feet above the ground is [0.493,4.2].

6 0
2 years ago
Heather was asked to graph 3x - y = -4 by using slope and y-intercept. Her graph is shown.
irakobra [83]
Hello! The y-intercept is (0, 4), because the line crosses 0 in the x-axis at that point. We can cross out C and D, because those don't show that. The slope is rise/run. You would go up 3, and go to the right once. If you need to, solve for slope by doing y2 - y1/ x2 - x1. Let's use the point (0, 4) and (1, 7) as an example. We would set it up like this: 7 - 4 / 1 - 0. Solving that would give us 3/1 or just simply three. The slope is positive 3 and the y-intercept is (0, 4). The answer is A.
7 0
2 years ago
Which represents a measure of volume?<br> O 5 cm<br> O 5 square cm<br> 05 cm<br> 05 cm
Elena-2011 [213]

Answer:

a) 5cm^{3}

Step-by-step explanation:

Bodies have three dimensions (width, height and depth). Measuring volume is calculating the number of cubic units that can fit inside.

When raising to 3, these dimensions are included and therefore  5cm^{3} is a measure of volume.

7 0
2 years ago
Read 2 more answers
PLEASE HELP, I WILL MARK BRAINLIEST FOR THE FIRST CORRECT ANSWER))
madam [21]

Answer:

The volume of this cylinder is 9184.5 cubic feet.

Step-by-step explanation:

The area of a circle is \pi r^2 and the volume of a cylinder with that base is just that area times the height:

V=\pi r^2\times h

Here, we're given the diameter, but we need the radius. The radius of a circle is just half of the diameter:

r=30\times0.5=15

Next, you can use that radius to calculate the area of the base:

A=3.14\times15^2\\A=3.14\times225\\A=706.5

Finally, multiply that by the height to find the volume of the cylinder:

V=706.5\times13\\V=9184.5

The volume of this cylinder is 9184.5 cubic feet.

7 0
2 years ago
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