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AlladinOne [14]
3 years ago
9

1. Write an equivalent ratio by multiplying: 1 - 4

Mathematics
1 answer:
ahrayia [7]3 years ago
7 0

Answer:

2 4

- _

8 16

Step-by-step explanation:

1 2

- X -

4 2

Or

1. 4

- X -

4. 4

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30 students in a class took an algebra test.
lesya [120]

Answer:

70%

Step-by-step explanation:

21/30      p/100

30/30=2,100/30=70

5 0
3 years ago
Colin surveyed 12 teachers at school to determine how much each person budgets for lunch. He records his results in the table. W
zmey [24]

Answer:

<em>As mean and median are equal, so the data will be in normal distribution in shape of a symmetrical "bell curve".</em>

Step-by-step explanation:

The given data:   10   5   8   10   12   6   8   10   15   6   12   18

<u>Mean is the simple average of all data</u>. As, there are total 12 data, so the Mean will be:  \frac{10+5+8+10+12+6+8+10+15+6+12+18}{12}= \frac{120}{12}=10

For finding the Median, <u>first we need to rearrange the data according to the numerical order and then identify the middle value</u>. So........

5   6   6   8   8   10   10   10   12   12   15   18

Here the middle values are 10 and 10. So, the median will be the average of those two middle values.

Thus, Median =\frac{10+10}{2}=\frac{20}{2}=10

We can see that, <u>the relationship between the mean and the median is "they are equal"</u>. So, the data will be in normal distribution and the shape will be symmetrical "bell curve".

8 0
3 years ago
Read 2 more answers
You want a savings account to grow to $5000 in 10 years. If interest is 3.5% compounded continuously, how much should you invest
vazorg [7]

Answer:

$3523.44

Step-by-step explanation:

5000 = X × e^(3.5/100)(10)

X = 5000 ÷ e^0.35

X = 3523.440449

6 0
3 years ago
Brian is selling cookies at a bake sale. He earns $2.75 for each bag of cookies he sells. Write an equation to represent this sc
sesenic [268]
Let C equal bags of cookies
Let M equal money earned

2.75c=m

Probably not enough sorry if it isn't
5 0
3 years ago
Read 2 more answers
Some transportation experts claim that it is the variability of speeds, rather than the level of speeds, that is a critical fact
scZoUnD [109]

Answer:

Explained below.

Step-by-step explanation:

The claim made by an expert is that driving conditions are dangerous if the variance of speeds exceeds 75 (mph)².

(1)

The hypothesis for both the test can be defined as:

<em>H</em>₀: The variance of speeds does not exceeds 75 (mph)², i.e. <em>σ</em>² ≤ 75.

<em>Hₐ</em>: The variance of speeds exceeds 75 (mph)², i.e. <em>σ</em>² > 75.

(2)

A Chi-square test will be used to perform the test.

The significance level of the test is, <em>α</em> = 0.05.

The degrees of freedom of the test is,

df = n - 1 = 55 - 1 = 54

Compute the critical value as follows:

\chi^{2}_{\alpha, (n-1)}=\chi^{2}_{0.05, 54}=72.153

Decision rule:

If the test statistic value is more than the critical value then the null hypothesis will be rejected and vice-versa.

(3)

Compute the test statistic as follows:

\chi^{2}=\frac{(n-1)\times s^{2}}{\sigma^{2}}

    =\frac{(55-1)\times 94.7}{75}\\\\=68.184

The test statistic value is, 68.184.

Decision:

cal.\chi^{2}=68.184

The null hypothesis will not be rejected at 5% level of significance.

Conclusion:

The variance of speeds does not exceeds 75 (mph)². Thus, concluding that driving conditions are not dangerous on this highway.

7 0
3 years ago
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