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2 years ago

What is 3.2 as a repeating fraction

Mathematics

1 answer:

Luda [366]2 years ago

6 0

Answer:

3.2 = 16/5 (3 1/5).

Step-by-step explanation:

Let it be:

{3.2.

We want to find the fraction of it.

1 ÷ 5 = 0.2.
16 ÷ 5 = 3.2.
16/5.

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Moana's motorcycle travels for 6 hours 30 minutes at an average speed of 50 kph. How far does she travel in total?

elena-s [515]

Answer:

325 km

Step-by-step explanation:

we are given the average speed of Moana's motorcycle and we want to figure out her total distance to do so convert hours to minutes so,

6×60+30 minutes
360+30
390

therefore,

$\begin{array}{ccc} \rm 60\: minutes \implies 50kph \\ \displaystyle\rm1 \: minutes \implies \frac{50}{60} kph \\ \\ \displaystyle \rm390 \: minutes \: \implies \frac{50}{60} \times 390kph \\ \xrightarrow{ \rm reduce \: fraction} \displaystyle \frac{5}{6}\times 390 \\ \displaystyle \xrightarrow{ \rm \: reduce\: fraction}5 \times 65 \\ \xrightarrow{ \rm \: simplify\: multiplication}325\end{array}$

hence,

she travels 325 km in total

3 0

2 years ago

Steve is taller than Jon, but Elijah is taller than Steve. Is Elijah taller than Jon?

Aleks [24]

Yes because he is taller than steve who is taller than jon

6 0

3 years ago

Read 2 more answers

Math problem help to do this step by step

s344n2d4d5 [400]

Step-by-step explanation:

(root under) 2×3×3×4

(root under) 2×3×3×2×2

3×2 (root under) 2

6 (root under) 2

sorry i don't have the root under symbol, if you are confused it is the symbol that is at the first of your question.

8 0

3 years ago

What is 463,462 rounded to the nearest ten thousand

kow [346]

460,000 :) hope this helps!!

6 0

3 years ago

Read 2 more answers

A simple random sample of size n=250 individuals who are currently employed is asked if they work at home at least once per week

Levart [38]

Answer:

99% confidence interval for the population proportion of employed individuals is [0.104 , 0.224].

Step-by-step explanation:

We are given that a simple random sample of size n=250 individuals who are currently employed is asked if they work at home at least once per week.

Of the 250 employed individuals surveyed, 41 responded that they did work at home at least once per week.

Firstly, the pivotal quantity for 99% confidence interval for the population proportion is given by;

P.Q. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of individuals who work at home at least once per week = $\frac{41}{250}$ = 0.164

n = sample of individuals surveyed = 250

Here for constructing 99% confidence interval we have used One-sample z proportion statistics.

So, 99% confidence interval for the population proportion, p is ;

P(-2.5758 < N(0,1) < 2.5758) = 0.99 {As the critical value of z at 0.5%

level of significance are -2.5758 & 2.5758}

P(-2.5758 < $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < 2.5758) = 0.99

P( $-2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < ${\hat p-p}$ < $2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.99

P( $\hat p-2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < p < $\hat p+2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.99

99% confidence interval for p = [ $\hat p-2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ , $\hat p+2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ]

= [ $0.164-2.5758 \times {\sqrt{\frac{0.164(1-0.164)}{250} } }$ , $0.164+2.5758 \times {\sqrt{\frac{0.164(1-0.164)}{250} } }$ ]

= [0.104 , 0.224]

Therefore, 99% confidence interval for the population proportion of employed individuals who work at home at least once per week is [0.104 , 0.224].

7 0

2 years ago