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makkiz [27]
3 years ago
13

Lucy is in charge of planning a reception for 2400 people. She is trying to decide which snacks to buy. She has asked a random s

ample of people who are coming to the reception what their favorite snack is. Here are the results.
Favorite Snack Number of People
Brownies 29
Cookies 27
Chips 61
Other 63
Based on the above sample, predict the number of the people at the reception whose favorite snack will be cookies. Round your answer to the nearest whole number.
Mathematics
1 answer:
navik [9.2K]3 years ago
6 0

Answer:

360 people.

Step-by-step explanation:

Given the sample as:

  • Brownies 29
  • Cookies 27
  • Chips 61
  • Other 63

#Find the probability of a person eating cookies:

P(cookies)=\frac{No \ of \ cookies \ People}{No \ of people \ in \ sample}\\\\=\frac{27}{29+27+61+63}\\\\=0.15

#To find the number of cookie people in the population, we multiply the population size by the probability of having a cookie:

P_c=np, n=2400, p=0.15\\\\=2400\times 0.15\\\\=360

Hence, cookies is a favorite of 360 people.

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Find three consecutive interferes whose sum is 96
Ronch [10]

Answer:

31, 32, 33

Step-by-step explanation:

x + x + 1 +x + 2 = 96

3x + 3 = 96

      -3    -3

3x = 93

/3     /3

x = 31

31 is the first number, so since they’re consecutive, the second two numbers are 32 and 33.

6 0
3 years ago
A concrete pillar has the shape of a cylinder. It has a radius of 6 meters and a height of 4 meters. If concrete costs $82 per c
Gnesinka [82]

82

Step-by-step explanation:

6 0
3 years ago
can someone help me understand this, please? For some reason my answer is correct but I need to understand how did I found the c
Morgarella [4.7K]

Answer with step-by-step explanation:

The way the question is worded, this actually shouldn't be correct. The correct answer should be 3:4.

Because the trapezoids are similar, we can find the ratio of their perimeters by actually just finding the ratio of their sides.

Why?

By definition, the corresponding sides of a polygon are in a constant proportion. The perimeter is simply the sum of all sides of the polygon. Since we're just adding the sides, the proportion will still be maintained.

Therefore, we'll just need to ratio of their corresponding sides. The only two corresponding sides that are marked are \overline{RS} and \overline{AB}.

The ratio of \overline{RS}:\overline{AB} is 18:24\implies \boxed{3:4}.

The reason why it ideally should be 3:4 and not 4:3 is because the question states RTSU\sim ABCD, which mentions RSTU first, so our answer should follow this respective order. I believe you were marked right anyways because the specific order is not specified, but generally, you want to give your answer respectively by default.

3 0
2 years ago
Please Help, I need it for my homework
Naily [24]

Answer:

A)

p1 (0,0) p2 (1,2) given from the graph

slope = (y2-y1)/ (x2-x1 )

slope (m) = 2

y = mx+ b

b =0

y = 2x

b)

x = 0

y = 5

(0,5)

C)

gradient = slope

y = 3x + b

point given (0,12)

y = 3x + 12

5 0
2 years ago
Read 2 more answers
A parallelogram has a base of length 2x + 1 and a height of x + 3 and has an area of
storchak [24]

Answer:

  • base 7
  • height 6

Step-by-step explanation:

Using the given expressions, we can write the area as ...

  A = BH

  42 = (2x +1)(x +3) = 2x^2 +7x +3

  2x ^2 +7x -39 = 0

  (x -3)(2x +13) = 0

  x = 3   or   -6.5  . . . . .  these values make the factors be zero

In order for the parallelogram to have positive dimensions, the value of x must be 3. So, the base and height are ...

  base = 2(3) +1 = 7

  height = 3 +3 = 6

7 0
2 years ago
Read 2 more answers
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