Let the number be x
5 x = 8 + 3x
2 x = 8
x = 4 Ans
Answer:
Upper limit 150
Lower bond 136
Step-by-step explanation:
Hello!
The study variable is:
X: measurement of IQ of a statistic instructor.
This variable has a normal distribution:
X~N(μ; σ²)
And the population standard deviation is known σ= 16
You need to construct a confidence interval for the population mean, for this, since the variable has a normal distribution and the population variance is known, the statistic to use is the standard normal
Z= X[bar] - μ ~N(0;1)
σ/√n
The formula for the interval is:
X[bar] ± *
Where
X[bar] is the sample mean
is the value under the Z distribution for the corresponding confidence level.
S is the population standard deviation. (should be sigma but it doesn't recognize the symbol)
[143 ± 1.96 * ]
[135,988; 150. 012] ≅ [136; 150]
I hope it helps!
Answer:
1749
Step-by-step explanation:
You would set up a proportion that says 901/x = 34/100. You would cross multiply to get that 34x = 90100. You would divide 90100 by 34 to get 2650. Then do 2650 - 901 to get 1749.
Answer:
12:28 = 3:7
Step-by-step explanation:
Try to reduce the ratio further with the greatest common factor (GCF).
The GCF of 12 and 28 is 4
Divide both terms by the GCF, 4:
12 ÷ 4 = 3
28 ÷ 4 = 7
The ratio 12 : 28 can be reduced to lowest terms by dividing both terms by the GCF = 4 :
12 : 28 = 3 : 7
Therefore:
12 : 28 = 3 : 7