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pentagon [3]
2 years ago
11

Grace rides her bike 21 km in 1 1/6 hours. What is her average speed in kilometers per hour?

Mathematics
1 answer:
aleksandrvk [35]2 years ago
4 0
126 because 20 X 6 and 6 x 1
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What is 63÷9+40-35÷7 pls help
Murljashka [212]
63/9 + 40 - 35/7 =
7 + 40 - 5 =
47 - 5 =
42 <==
6 0
3 years ago
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Write the number as a percent. 3.1 0.31% 3.1% 31% 310%
Gnoma [55]

Answer:

310%

Step-by-step explanation:

to convert to percent multiply by 100, 3.1*100=310

7 0
2 years ago
Recorded here are the germination times (in days) for ten randomly chosen seeds of a new type of bean. See Attached Excel for Da
alexgriva [62]

Answer:

The 99% confidence interval for the mean germination time is (12.3, 19.3).

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>Recorded here are the germination times (in days) for ten randomly  chosen seeds of a new type of bean: 18, 12, 20, 17, 14, 15, 13, 11, 21, 17. Assume that the population germination time is normally distributed. Find the 99% confidence interval for the mean germination time.</em>

<em />

We start calculating the sample mean M and standard deviation s:

M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{10}(18+12+20+17+14+15+13+11+21+17)\\\\\\M=\dfrac{158}{10}\\\\\\M=15.8\\\\\\

s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{9}((18-15.8)^2+(12-15.8)^2+(20-15.8)^2+. . . +(17-15.8)^2)}\\\\\\s=\sqrt{\dfrac{101.6}{9}}\\\\\\s=\sqrt{11.3}=3.4\\\\\\

We have to calculate a 99% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

The sample mean is M=15.8.

The sample size is N=10.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

s_M=\dfrac{s}{\sqrt{N}}=\dfrac{3.4}{\sqrt{10}}=\dfrac{3.4}{3.162}=1.075

The degrees of freedom for this sample size are:

df=n-1=10-1=9

The t-value for a 99% confidence interval and 9 degrees of freedom is t=3.25.

The margin of error (MOE) can be calculated as:

MOE=t\cdot s_M=3.25 \cdot 1.075=3.49

Then, the lower and upper bounds of the confidence interval are:

LL=M-t \cdot s_M = 15.8-3.49=12.3\\\\UL=M+t \cdot s_M = 15.8+3.49=19.3

The 99% confidence interval for the mean germination time is (12.3, 19.3).

8 0
3 years ago
What is the outlier of 1,148 ,10 ,43 ,14
Inessa [10]

Answer:

148

Step-by-step explanation:

an outlier is somthin that stands out

3 0
3 years ago
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How do i work out: 3/4-3/5
Mariana [72]

In order to add or subtract fractions, they must have the
same denominator.  You need to change both of these
fractions to have the same denominator ... without changing
their values, of course.

The smallest common denominator for these fractions is  20 .

     3/4  is the same amount as  15/20 .

     3/5  is the same amount as  12/20 .

Now that they have the same denominator, you can do
the subtraction.

6 0
3 years ago
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