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IgorC [24]
3 years ago
14

0.143 divided by 0.55 step by step

Mathematics
2 answers:
Talja [164]3 years ago
8 0

Answer:

0.26

Step-by-step explanation:

We are asked to divide 0.143 by 0.55.

First of all, we will write our given problem as a division problem as:

\frac{0.143}{0.55}

To divide our given numbers, we will remove decimals.

We can see that numerator has 3 digits after decimal and denominator has two digits after decimal.

We will multiply numerator and denominator by 1000 to remove decimal.

\frac{0.143\times 1000}{0.55\times 1000}

\frac{143}{550}

\frac{11\times 13}{11\times 50}

\frac{13}{50}

0.26

Therefore, our required quotient is 0.26.

Nata [24]3 years ago
4 0
Find this quotient:0.143 ÷ 0.55
First show the division like this:0.55⌠0.143
Now move the decimal point two places to the right, which makes the divisor a whole number. Also, move the decimal point in the dividend two places to the right:55⌠14.3
Divide and put the decimal point just above the decimal point in the dividend. 55 goes into 14.3 two times with 33 left over:
           .255⌠14.3      -110         33
To continue dividing just add a zero to the right of the decimal point in the dividend. Then bring down the zero, and add it to the end of 33, making it 330
           .255⌠14.30     - 110        330
55 goes into 330 six times. We write a 6 above the zero in the quotient.
           .2655⌠14.30      -110          330         -330              0
To check if your answer is really correct, we multiply the quotient by the divisor and make sure it equals the dividend:        0.55    x    .26         330           + 110      .1430
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Answer:

Miles flown in 23.19 hours = 166968 miles

Step-by-step explanation:

Given that:

A satellite flies 55584 miles in 7.72 hours

We will find the unit rate first,

Unit rate = \frac{55584}{7.72}

Unit rate = 7200 miles per hour

Miles flown in 23.19 hours,

Miles flown = 7200 * 23.19

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Miles flown in 23.19 hours = 166968 miles

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Step-by-step explanation:

184 x 0.03

5.52

184 + 5.52

189.52

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kykrilka [37]

Answer:

p_v =2*P(t_{(8)}

c. should not be rejected

Step-by-step explanation:

1) Data given and notation

The data given is:

Method 1 : 7,5,6,7,5

Method 2: 5,9,8,7,6

\bar X_{1}=6 represent the mean for the method 1

\bar X_{2}=7 represent the mean for the method 2

s_{1}=1 represent the sample standard deviation for the method 1

s_{2}=1.58 represent the sample standard deviation for the method 2

n_{1}=5 sample size selected for the Consultant A

n_{2}=5 sample size selected for the Consultant B

\alpha=0.05 represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

p_v represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean for the difference is equal to 0, the system of hypothesis would be:

Null hypothesis:\mu_{1}- \mu_{2}=0

Alternative hypothesis:\mu_{1} - \mu_{2}\neq 0

If we analyze the size for the samples both are less than 30 so for this case is better apply a t test to compare means, and the statistic is given by:

t=\frac{\bar X_{1}-\bar X_{2}}{\sqrt{\frac{s^2_{1}}{n_{1}}+\frac{s^2_{2}}{n_{2}}}} (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other".

Calculate the statistic

We can replace in formula (1) the info given like this:

t=\frac{6-7}{\sqrt{\frac{1^2}{5}+\frac{1.58^2}{5}}}=-1.195 (1)

P-value

The first step is calculate the degrees of freedom, on this case:

df=n_{1}+n_{2}-2=5+5-2=8

Since is a two sided test the p value would be:

p_v =2*P(t_{(8)}

Conclusion

If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis. So the best option would be:

c. should not be rejected

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Answer:

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Step-by-step explanation:

Let x = height of flagpole

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9tan 65 = x

x = 19.3 ≅ 19 ft. to the nearest foot

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