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3 years ago

2 1/4 ⋅ 1 2/3 as a mixed number

Mathematics

1 answer:

Gemiola [76]3 years ago

5 0

Answer:

$3\frac{3}{4}$

Step-by-step explanation:

We have two mixed numbers and are asked to multiply them together.

2 1/4 * 1 2/3

First we convert the mixed numbers into improper fractions to make it easier for us. So follow the MA rule.

Multiply the whole number by the denominator and add the numerator.

2 1/4 * 1 2/3

9/4 * 5/3

Now multiply across,

$\frac{9*5}{4*3}$

$\frac{45}{12}$

Now we need to convert this back into a mixed number.

So how many times does 45 go into 12?

3 times, and 3 are left.

$3\frac{3}{4}$

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2 years ago

A study of teenage drivers found that 63% text while driving and 30% have a car accident in their first year of driving. 21% of

Kipish [7]

Answer:

33.33%

Step-by-step explanation:

63% of teenage drivers text while driving

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3 years ago

Cw 11.1 11.4 round to the tenths

wariber [46]

Answer:

1. A = 21,924.0

2. A = 1,584.0

3. A = 104.0

4. A = 126.0

5. A = 81.0

6. A = 217.0

7. A = 67.5

8. x = 6.0

9. x = 20.0

Step-by-step explanation:

Kindly find the attached for the step by step explanation

3 0

3 years ago

Read 2 more answers

Use order of operations to make this true 7 11 4 2 = 10

Keith_Richards [23]

Answer:

$7 + 11 - 4 \times 2 = 10$

Step-by-step explanation:

Using order of operations, the first thing to be calculated would be $4 \times 2$ .

That would turn our equation into this:

$7 + 11 - 8 = 10$

You can then calculate left-to-right as usual to get the answer 10.

5 0

3 years ago

My brother wants to estimate the proportion of Canadians who own their house.What sample size should be obtained if he wants the

AVprozaik [17]

Answer:

a) $n=\frac{0.675(1-0.675)}{(\frac{0.02}{1.64})^2}=1475.07$

And rounded up we have that n=1476

b) $n=\frac{0.5(1-0.5)}{(\frac{0.02}{1.64})^2}=1681$

And rounded up we have that n=1681

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

If solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

Part a

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by $\alpha=1-0.9=0.1$ and $\alpha/2 =0.05$ . And the critical value would be given by: