All categories

3 years ago

Which digit is in the hundred millions place in the number 465,382,109,728

Mathematics

2 answers:

Allisa [31]3 years ago

7 0

3 is in the hundred millions

8090 [49]3 years ago

5 0

The digest in the hundred millions place is 0 because you start counting at the tenths

You might be interested in

A manufacturer of paper coffee cups would like to estimate the proportion of cups that are defective (tears, broken seems, etc.)

Maksim231197 [3]

Answer:

The 95% confidence interval is $0.0503 < p < 0.1297$

The sample proportion is $\r p = 0.09$

The critical value is $Z_{\frac{\alpha }{2} } = 1.96$

The standard error is $SE =0.020$

Step-by-step explanation:

From the question we are told that

The sample size is n = 200

The number of defective is k = 18

The null hypothesis is $H_o : p = 0.08$

The alternative hypothesis is $H_a : p > 0.08$

Generally the sample proportion is mathematically evaluated as

$\r p = \frac{18}{200}$

$\r p = 0.09$

Given that the confidence level is 95% then the level of significance is mathematically evaluated as

$\alpha = 100 - 95$

$\alpha = 5\%$

$\alpha = 0.05$

Next we obtain the critical value of $\frac{ \alpha }{2}$ from the normal distribution table, the value is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the standard of error is mathematically represented as

$SE = \sqrt{\frac{\r p (1 - \r p)}{n} }$

substituting values

$SE = \sqrt{\frac{0.09 (1 - 0.09)}{200} }$

$SE =0.020$

The margin of error is

$E = Z_{\frac{ \alpha }{2} } * SE$

=> $E = 1.96 * 0.020$

=> $E = 0.0397$

The 95% confidence interval is mathematically represented as

$\r p - E < \mu < p < \r p + E$

=> $0.09 - 0.0397 < \mu < p < 0.09 + 0.0397$

=> $0.0503 < p < 0.1297$

7 0

3 years ago

What is the product 3x5(2x2+4x+1)

lesya692 [45]

Answer:

$6x^7+12x^6+3x^5$

Step-by-step explanation:

The given expression is:

$3x^5(2x^2+4x+1)$

We expand the parenthesis using the distributive property to obtain;

$3x^5(2x^2)+3x^5(4x)+3x^5(1)$

Recall that;

$a^m\imes a^n=a^{m+n}$

We apply this property and multiply out the constant terms to obtain;

$6x^7+12x^6+3x^5$

3 0

3 years ago

Are the triangles AA, SAS, SSS or not similar ?

OverLord2011 [107]

Answer:

I think SSS ,.............

7 0

3 years ago

How many times greater is the value of 3 in 300 than the value of the 3 in 30

Vikki [24]

Well it sounds like you mean smaller, not greater. 3/300 = 1/100 while 3/30 = 1/10. So 3 out of 300 is 10 times SMALLER than 3 out of 30.

3 0

3 years ago

Read 2 more answers

the length of a rectangle is 4 more than 3 times the width. If the perimeter of the rectangle is 18.4cm, what is the area of the

antoniya [11.8K]

Answer:

A = 10.27cm²

Step-by-step explanation:

Let's represent the width as x,

therefore since the length is 4 more than 3 times the width, it can be represent as 3x + 4, Perimeter = 18.4cm

Perimeter of a rectangle = 2(L + B)

$18.4= 2(3x+4+x)\\18.4= 6x+8+2x\\18.4-8=6x+2x\\10.4=8x\\x=\frac{10.4}{8}\\x=1.3$

width = 1.3cm

Length = 3x + 4 = 3*1.3 + 4 = 7.9cm

Area of a rectangle = length x width

A = 7.9 * 1.3 = 10.27cm²

6 0

2 years ago

Read 2 more answers