What is 10.74 rounded to the whole number.?

Mathematics

2 answers:

IRISSAK [1]3 years ago

8 0

11. 10.74 would round up to 11.

Ivan3 years ago

6 0

The answer is 11. Remember the rule of rounding

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A certain manufactured product is supposed to contain23% potassium by weight. A sample of 10 specimensof this product had an ave

inysia [295]

Answer:

a. The null and alternative hypothesis are

$H_0: \pi=23\\\\H_1: \pi\neq23$

b. P-value = 0.7181

c. The process should not be recalibrated. We have no enough statistical proof with this sample that the mean is not 23% (the null hypothesis π=23% could not be rejected).

Step-by-step explanation:

We want to know if there is enough statistical evidence to claim that the mean of the process is not 23%.

Then, the null and alternative hypothesis are

$H_0: \pi=23\\\\H_1: \pi\neq23$

We assume a significance level of 0.05.

The sample of size N=10 has a p=0.232.

The standard deviation to is

$\sigma=\sqrt{\frac{\pi(1-\pi)}{N} } =\sqrt{\frac{0.23(1-0.23)}{10} }=0.133$

The test statistic z is given by

$z=\frac{p-\pi-0.5/N}{\sigma}=\frac{0.232-0.2-0.5/10}{0.133}=\frac{-0.048}{0.133}=-0.361$

The two-tailed P-value for z=-0.361 is P=0.7181. This value is bigger than the significance level, so the effect is not significant. The null hypothesis can not be rejected.

That means we have no statistical proof with this sample that the mean is not 23%. The process should not be recalibrated.

5 0

3 years ago

Please help anyone and explain please

umka2103 [35]

So if you distribute 4 in the first parentheses, you get 12x+20y+8z.

Then you distribute 3 in the second parentheses. You'll get 3x-3z. That all equals 12x+20y+8z+3x-3z.

Now you have to start combining numbers with the same variable. Start with x. 12x+3x is 15x.

y has no other common variable, it's left alone.

8z-3z is 5z

All together now with the numbers in simpler form, the equation is 15x+20y+5z

Jenna's would be the right answer because when you distribute 5 in her answer you get 15x+20y+5z