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Alinara [238K]
3 years ago
12

Diego went out for a walk. He walked for 20 minutes East at a rate of 5km/hour. He then turned around and walked west for 10 min

utes. How far away is he from his house?
Mathematics
1 answer:
iVinArrow [24]3 years ago
3 0
Positive 20 and negative 10 is a net amount of 10. 10 minutes is 1/6 of an hour. 5*1/6=5/6km
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Ln x + ln (x + 1) = ln 56
Leni [432]

Answer:

x=7

Step-by-step explanation:

ln x +ln(x+1)=ln 56

ln x(x+1)=ln 56

so x(x+1)=56

x^2+x-56=0

(x+8)(x-7)=0

x= -8 or x=7

and lnx,x>0

so x=7

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4 years ago
Find 38.01% of 111. Round to the nearest thousandth
Svetllana [295]

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42.191

Step-by-step explanation:

Punch it in the calculator and round the decimal from 42.1911 to 42.191

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Mademuasel [1]

https://youtu.be/GZcm4mswivc

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The CEO of a software company is committed to expanding the proportion of highly qualified women in the organization’s staff of
pishuonlain [190]

Answer:

Null Hypothesis, H_0 : p \geq 45%    

Alternate Hypothesis, H_A : p < 45%

Step-by-step explanation:

We are given that the proportion of women in similar sales positions across the country in 2004 is less than 45%.

The collected random sample of size 50 showed that only 18 were women.

<u><em>Let p = proportion of women in similar sales positions across the country in 2004</em></u>

So, Null Hypothesis, H_0 : p \geq 45%    

Alternate Hypothesis, H_A : p < 45%

Here, <u><em>null hypothesis states that</em></u> the proportion of women in similar sales positions across the country in 2004 is more than or equal to 45%.

On the other hand, <u><em>alternate hypothesis states that</em></u> the proportion of women in similar sales positions across the country in 2004 is less than 45%.

The test statistics that would be used here is One-sample z proportion test statistics, i.e;

                        T.S.  =  \frac{\hat p -p}{\sqrt{\frac{\hta p(1-\hat p)}{n} } }  ~ N(0,1)

Hence, the above hypothesis is appropriate for the given situation.

4 0
3 years ago
There are (10 to the 8 power)to the 2 power ⋅ 10 to the 0 power candies in a store. What is the total number of candies in the s
Rashid [163]

(10^8)^2\cdot10^0=10^{16}\cdot1=10^{16}=10,000,000,000,000,000

4 0
3 years ago
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