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mote1985 [20]
2 years ago
6

Use the order of operations to find the value of the expression. 2 + 3 × 16 − 2 × 21 − 3

Mathematics
1 answer:
kolezko [41]2 years ago
6 0

Answer:

5

Step-by-step explanation:

=2+(3)(16)-(2)(21)-3

=2+48-(2)(21)-3

=50-(2)(21)-3

=50-42-3

=8-3

=5

Hope this helped! :)

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The length of a paper clip chain is directly proportional to the number of paper clips. If a chain with 65 paper clips has a len
Ghella [55]

<u>Answer:</u>

The length of a paper clip chain is directly proportional to the number of paper clips. If a chain with 65 paper clips has a length of 97.5 inches then the length of chain with 14 paper clips is 21 inches.

<u>Solution:</u>

Given that the length of a paper clip chain is directly proportional to the number of paper clips. Directly propotional means when the length of paper clip increases, then the number of paper clips also increases in same ratio.

Hence, by above definition, we get  

\frac{l_{1}}{l_{2}} = \frac{n_{1}}{n_{2}}  ------- eqn 1

From question, for a chain with 65 paper clips has a length of 97.5 inches, we get  

l_{1} = 97.5 \text { and } n_{1} = 65

Similarly, for a chain with 14 paper clips with length to be found, we get  

n_{2}=14 \text { and } l_{2} = ?

Now by using eqn 1, we can calculate the length of 14 paper clips  is,

\frac{97.5}{65}=\frac{l_{2}}{14}

Rearranging the terms we get,

l_{2 }= \frac{97.5 \times 14}{65}

l_{2}=21 \text { inches }

Hence the length of chain with 14 paper clips is 21 inches.

3 0
3 years ago
A toy manufacturer wants to know how many new toys children buy each year. A sample of 305 children was taken to study their pur
Harrizon [31]

Answer:

The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.8}{2} = 0.1

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.1 = 0.9, so Z = 1.28.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.28\frac{1.5}{\sqrt{305}} = 0.1

The lower end of the interval is the sample mean subtracted by M. So it is 7.6 - 0.1 = 7.5

The upper end of the interval is the sample mean added to M. So it is 7.6 + 0.1 = 7.7

The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.

8 0
3 years ago
Which is the graph of f(x) = (x + 3)(x - 2​
yanalaym [24]

Answer:

Step-by-step explanation:

f(x) = (x + 3)(x - 2​) has two zeros:  One stems from (x + 3) = 0 and is (-3, 0); the other stems from (x - 2) = 0 and is (2, 0).  

The axis of symmetry is a vertical line located halfway between -3 and 2:  

x =  -1/2.

The graph opens up because the given (x + 3)(x - 2) has a positive leading coefficient (+1).

With this information we can eliminate the last two possible answers.  Note that the x-intercepts of the first graph are -3 and 2,  Thus, the first graph is the correct one.

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zheka24 [161]
Yes 5/6 is smaller than 3/5
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PolarNik [594]

Answer:

Step-by-step explanation:

8 0
2 years ago
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