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Oliga [24]
3 years ago
12

The sum of two numbers is 21. the second number is six times the first number.

Mathematics
1 answer:
Tamiku [17]3 years ago
8 0

Answer:

Therefore first number is 3 and second number is 18

Step-by-step explanation:

Sum of the two numbers is 21 and Second number is six times the first number

x+6x = 21

 7x = 21

x = 21/7

x = 3

substitute x value in 6x to find second number,

 = 6x

 = 6*3

 = 18

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2 years ago
There are 30 students in a class and 40% of the class like orange juice how many studesnt love orange juice
Dovator [93]
What is 40% of 30?

first, convert the percent into a decimal
40% = 0.4

then multiply 0.4 with 30

30*0.4 = 12

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6 0
3 years ago
A data set includes 103 body temperatures of healthy adult humans having a mean of 98.1 F and a standard deviation of 0.56 F. Co
Ira Lisetskai [31]

Answer:

The 99​% confidence interval estimate of the mean body temperature of all healthy humans is (97.955F, 98.245F).

98.6F is above the upper end of the interval, which means that the sample suggests that the mean body temperature could be lower than 98.6F.

Step-by-step explanation:

The first step is finding the confidence interval

The sample size is 103.

The first step to solve this problem is finding how many degrees of freedom there are, that is, the sample size subtracted by 1. So

df = 103-1 = 102

Then, we need to subtract one by the confidence level \alpha and divide by 2. So:

\frac{1-0.99}{2} = \frac{0.01}{2} = 0.005

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 102 and 0.005 in the t-distribution table, we have T = 2.63.

Now, we need to find the standard deviation of the sample. That is:

s = \frac{0.56}{\sqrt{103}} = 0.055

Now, we multiply T and s

M = T*s = 2.63*0.055 = 0.145

For the lower end of the interval, we subtract the mean by M. So 98.1 - 0.145 = 97.955F.

For the upper end of the interval, we add the mean to M. So 98.1 + 0.145 = 98.245F.

The 99​% confidence interval estimate of the mean body temperature of all healthy humans is (97.955F, 98.245F).

98.6F is above the upper end of the interval, which means that the sample suggests that the mean body temperature could be lower than 98.6F.

5 0
3 years ago
Solve for x: 5x/7 - 5 = 50
katrin [286]
The answer is x =77  hope i help you
7 0
3 years ago
The sum of two numbers is 21. the second number is six times the first number.
Tamiku [17]

Answer:

Therefore first number is 3 and second number is 18

Step-by-step explanation:

Sum of the two numbers is 21 and Second number is six times the first number

x+6x = 21

 7x = 21

x = 21/7

x = 3

substitute x value in 6x to find second number,

 = 6x

 = 6*3

 = 18

8 0
3 years ago
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