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givi [52]
3 years ago
9

A store selling school supplies advertises a bundle deal. The consumer can pick a backpack, a binder, a pack of pencils, and not

ebook paper for a set price. There are 4 types of backpacks, 3 types of binders, 6 types of pencils, and 2 types of notebook paper. How many outcomes are possible in this bundle?
Mathematics
2 answers:
Sveta_85 [38]3 years ago
8 0

Answer: There are 144  possible outcomes in this bundle.

Step-by-step explanation:

Given : The number of types of backpacks = 4

The number of types of binders = 3

The number of types of pencils = 6

The number of types of notebook paper = 2

By using the fundamental principal of counting , the number of outcomes are possible in this bundle will be :-

4\times3\times6\times2=144

Hence, the possible outcomes in this bundle are 144.

Black_prince [1.1K]3 years ago
5 0
There are 1365 possible combinations to this bundle deal :)
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3 years ago
What kind of sequence is the pattern 1, 6, 7, 13, 20, ...?
AlexFokin [52]

Answer:

The given sequence 6, 7, 13, 20, ... is a recursive sequence

Step-by-step explanation:

As the given sequence is

6, 7, 13, 20, ...

  • It cannot be an arithmetic sequence as the common difference between two consecutive terms in not constant.

As

d = 7-6=1,  d = 13-7=6

As d is not same. Hence, it cannot be an arithmetic sequence.

  • It also cannot be a geometrical sequence and exponential sequence.

It cannot be geometric sequence as the common ratio between two consecutive terms in not constant.

As

r = 7-6=1,  r = 13-7=6

r = \frac{7}{6},  r = \frac{13}{7}

As r is not same, Hence, it cannot be a geometric sequence or exponential sequence. As exponential sequence and geometric sequence are basically the same thing.

So, if we carefully observe, we can determine that:

  • The given sequence 6, 7, 13, 20, ... is a recursive sequence.

Please have a close look that each term is being created by adding the preceding two terms.

For example, the sequence is generated by starting from 1.

     {\displaystyle F_{1}=1

and

     {\displaystyle F_{n}=F_{n-1}+F_{n-2}}

for n > 1.

<em>Keywords: sequence, arithmetic sequence, geometric sequence, exponential sequence</em>

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6 0
3 years ago
On a math test, you obtained a score of 66 points. This was 88% ofthe total number of points on the test. How many total points
Lyrx [107]

Answer:

75

Step-by-step explanation:

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3 0
3 years ago
10# A consumer advocacy group is doing a large study on car rental practices. Among other things, the consumer group would like
ella [17]

ANSWER:

104

STEP-BY-STEP EXPLANATION:

Given:

Standard deviation (σ) = 700

Confidence level = 95%

Mean error (Eμ) = 135

We have for a confidence level of 95%:

\begin{gathered} \alpha=100\%-95\%=5\%=0.05 \\  \\ \alpha\text{/2}=\frac{0.05}{2}=0.025 \\  \\ \text{ The corresponding Z value for \alpha/2 = 0.025 is as follows:} \\  \\ Z_{\alpha\text{/2}}=1.96 \end{gathered}

Now, we calculate the minimum value of the sample size as follows:

\begin{gathered} n=\left(\frac{Z_{\alpha\text{/2}}\cdot\sigma}{E}\right)^2 \\  \\ \text{ We replacing:} \\  \\ \:n=\left(\frac{1.96\cdot 700}{135}\right)^2 \\  \\ \:n=103.2858\cong104 \end{gathered}

The minimum sample size needed is 104

3 0
1 year ago
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Answer:

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