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Alchen [17]
3 years ago
8

For a carnival game, containers are arranged in a triangular display. The top row has 1 container. The second row has 2 containe

r. the third row has 3 containers. The pattern continues until the bottom row, which has 10 containers. A contestant knocks down 29 containers on the first throw. How many containers remain?
Mathematics
2 answers:
Ede4ka [16]3 years ago
5 0
For this, you will need to know the triangle numbers. To know how many are on row ten, find the cumulative frequency (running total) of every number up to ten

1 = 1
2 = 3
3 = 6
4 = 10
5 = 15
6 = 21
7 = 28
8 = 36
9 = 45
10 = 55

If there are 55 containers and 29 are knocked down, we do
55 - 29 = 26
26 containers remain
docker41 [41]3 years ago
4 0
26 are left. Its just addition then subtraction.
You might be interested in
Students surveyed boys and girls separately to determine whether they wanted outdoor
vazorg [7]

Answer:

111 girls

Step-by-step explanation:

Given

Boys: Every 17 outdoor ≈ 20 indoor

Girls: 3:2 outdoor to indoor

First, we'll determine the ratio of outdoor to indoor for boys;

Recall that;

17 choose indoor while 20 choose outdoor;

The ratio of outdoor to indoor is;

20 : 17

Convert to fraction:

\frac{20}{17}

Let x represent number of boys that choose indoor when 85 boys chose outdoor;

The ratio of outdoor to indoor is;

x : 85

Convert to fraction

\frac{x}{85}

Equate both fractions

\frac{20}{17} = \frac{x}{85}

Multiply both sides by 85

85 * \frac{20}{17} = \frac{x}{85} * 85

85 * \frac{20}{17} = x

\frac{1700}{17} = x

100 = x

x = 100

This implies that when 85 chose outdoor, 100 chose indoor for boys;

Total = 100 + 85

Total = 185 boys surveyed

<em>Recall that the question says the same number of boys and girls were surveyed</em>

This implies that

Total Girls Surveyed = 185

For the girl ratio;

Outdoor to Indoor= 3:2

Number of girls that chose outdoor is as follows;

Outdoor = \frac{3}{3 + 2} * Total

Outdoor = \frac{3}{3 + 2} * 185

Outdoor = \frac{3}{5} * 185

Outdoor = \frac{555}{5}

Outdoor = 111

<em>Hence, the number of girls that chose outdoor is 111</em>

4 0
2 years ago
An SRS of ten brands of breakfast cereals is tested for the number of calories per serving. The following data result: 185, 190,
Pepsi [2]

Using the t-distribution, as we have the standard deviation for the sample, it is found that the 95% confidence interval estimate for the mean number of calories for servings of breakfast cereals is (195.3, 215.7).

<h3>What is a t-distribution confidence interval?</h3>

The confidence interval is:

\overline{x} \pm t\frac{s}{\sqrt{n}}

In which:

  • \overline{x} is the sample mean.
  • t is the critical value.
  • n is the sample size.
  • s is the standard deviation for the sample.

From the sample and the significance level of 0.05, we have that the parameters are given by:

\overline{x} = 205.5, s = 14.2, n = 10, t = 2.2622

Hence:

\overline{x} - t\frac{s}{\sqrt{n}} = 205.5 - 2.2622\frac{14.2}{\sqrt{10}} = 195.3

\overline{x} + t\frac{s}{\sqrt{n}} = 205.5 + 2.2622\frac{14.2}{\sqrt{10}} = 215.7

The 95% confidence interval estimate for the mean number of calories for servings of breakfast cereals is (195.3, 215.7).

More can be learned about the t-distribution at brainly.com/question/16162795

8 0
2 years ago
The winter clothing drive has received donations of 9 coats, 24 pairs of gloves, 39 scarves, and 24 hats so far.
myrzilka [38]
9+39+24=72
72/100=0.72
0.72*100=72
Answer:72%
there’s a 72% chance that the next donation is not gloves
5 0
2 years ago
I need help on number 2 please help me. Thanks. Happy holidays
Airida [17]
Here, Pages in books = Number of books * number of pages in one book

So, Pages of picture book = 10 * 25 = 250
& Pages of chapter book = 120 * 5 = 600

So, Number of Total pages = 250 + 600 = 850

So, Option (D) is your answer! Hope this helps!!
5 0
3 years ago
Please help me. Are my answers right? ​
V125BC [204]
I’m sorry but I don’t see the paper or the homework that you have
3 0
2 years ago
Read 2 more answers
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