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balandron [24]
3 years ago
11

Madison wants to order t-shirts for the university which consists of about 12000 students. she takes a random sample to figure o

ut how many sizes to order of each kind. If she randomly surveyed 300 students and 129 of them wanted mediums. How many medium t-shirts should she order?
Mathematics
1 answer:
earnstyle [38]3 years ago
8 0

Answer:

She should order a total of 5,160 medium sized t-shirts

Step-by-step explanation:

To calculate the number of medium sized t-shirt to be ordered, we shall be using the proportion of students that wanted medium sized t-shirt in her survey to multiply the total number of students that we have.

From the question, we can identify that the probability that a student will like a medium sized t-shirt is simply 129/300

Now we have about 12000 students in the University, using the probability from the survey, the number of medium sized t shirt she should order would be;

129/300 * 12,000 = 129 * 40 = 5,160 medium sized t-shirts

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nirvana33 [79]
When the dimensions of a rectangular prism will be doubled, its volume won't only be doubled but it will be 8 times as much.

The original volume of the rectangular prism is LxWxH.

V= LxWxH
V= (6m) (4m) (10m)
V= 240m³

If we double the dimensions, the volume would be

V= 2L x 2W x 2H
V= 2 x 6m x 2 x 4m x 2 x 10m
V= 2 x 2 x 2 x 6m x 4m x 10m
V= 2³ (6m x 4m x 10m)
V= 2³ x 240m³
V = 8 x 240m³
V= 1920 m³

The new volume now is 1,920 m³, which makes the rectangular prism larger than the original.
3 0
3 years ago
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The ratio of the circumferences of two circles is 2:3. If the large circle has a radius of 39 cm, what is the radius of the
Vaselesa [24]

Answer:

Option B: 26cm is the radius of smaller circle.

Step-by-step explanation:

Given that:

Ratio of circumferences of two circles = 2:3

We know that circumference of circle is given by 2πr.

Radius of larger circle = r_{2} = 39 cm

Radius of smaller circle = r_{1}

Now,

\frac{2\pi r_1}{2\pi r_2}=\frac{2}{3}\\\frac{r_1}{r_2}=\frac{2}{3}

Putting radius of larger circle

\frac{r_1}{39}=\frac{2}{3}\\\\r_1=\frac{2}{3}*39\\\\r_1=26

Therefore,

The radius of smaller circle is 26cm.

Hence,

Option B: 26cm is the radius of smaller circle.

5 0
2 years ago
Dante is selling donuts outside a huge office building every morning. The first week
inysia [295]

Answer:

<h2>$205</h2>

Step-by-step explanation:

45 - 25 = 20

65 - 45 = 20

as you can see the common difference between the 3 consecutive numbers 25 , 45 and 65 is a constant (20)

so ,we are in an arithmetic sequence case with :

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Let’s label the sequence: Un

then

Un = U1 + (n-1)×r

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for n = 10 → U10 = 20(10) + 5 = 200 + 5 = 205

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