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3 years ago

Can someone answer this thanks

Mathematics

1 answer:

sergij07 [2.7K]3 years ago

8 0

Answer:

3^-3 × 10^-3

= 1/3^3 × 1/10^3

= 1/27 × 1/1000

= 1/27000

= 1/2.7 ×10^4

= 2.7 × 10^-4

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The U.S. Energy Information Administration (US EIA) reported that the average price for a gallon of regular gasoline is $2.94. T

Anit [1.1K]

Answer:

a) 25

b) 67

c) 97

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample. In this problem, $\sigma = 0.25$

(a) The desired margin of error is $0.10.

This is n when M = 0.1. So

$M = z*\frac{\sigma}{\sqrt{n}}$

$0.1 = 1.96*\frac{0.25}{\sqrt{n}}$

$0.1\sqrt{n} = 1.96*0.25$

$\sqrt{n} = \frac{19.6*0.25}{0.1}$

$(\sqrt{n})^{2} = (\frac{19.6*0.25}{0.1})^{2}$

$n = 24.01$

Rounding up to the nearest whole number, 25.

(b) The desired margin of error is $0.06.

This is n when M = 0.06. So

$M = z*\frac{\sigma}{\sqrt{n}}$

$0.06 = 1.96*\frac{0.25}{\sqrt{n}}$

$0.06\sqrt{n} = 1.96*0.25$

$\sqrt{n} = \frac{19.6*0.25}{0.06}$

$(\sqrt{n})^{2} = (\frac{19.6*0.25}{0.06})^{2}$

$n = 66.7$

Rounding up, 67

(c) The desired margin of error is $0.05.

This is n when M = 0.05. So

$M = z*\frac{\sigma}{\sqrt{n}}$

$0.05 = 1.96*\frac{0.25}{\sqrt{n}}$

$0.05\sqrt{n} = 1.96*0.25$

$\sqrt{n} = \frac{19.6*0.25}{0.05}$

$(\sqrt{n})^{2} = (\frac{19.6*0.25}{0.05})^{2}$

$n = 96.04$

Rounding up, 97

8 0

3 years ago

1. Find f(6)<br> 2. For what values of x is f(x) = 0?

Varvara68 [4.7K]

Answer:

f(6) = -5

f(x) = 0 and x=1 and x=5

Step-by-step explanation:

f(6) is the value when x=6

looking at the graph when x=6 f(6) = -5

f(x) = 0 means the y value is 0 This occurs when x = 1 and x=5

4 0

4 years ago

A family has three children. Using b to stand for a boy and g for girl give the following.(To indicate that the first child is a

zubka84 [21]

Answer:

3/8 and 3/5

Step-by-step explanation:

Given that a family has three children. Using b to stand for a boy and g for girl give the following we can write sample space for a family having three children as

(bbb, bbg, bgg, bgb, gbb, gbg, ggb, ggg)

E - exactly two boys

Sample space count = 8

Exactly two boys count = 3

a) p(E) = $\frac{3}{8}$

b) odds for E is probability/1-probability

= $\frac{3}{5}$

6 0

4 years ago

Differentiation y=x^-5 ?

OLga [1]

Answer:

the differentiation d/dx will be ..... -5x^-6

5 0

3 years ago

A rectangl

PIT_PIT [208]

Answer: 48.4 cm^2

Step-by-step explanation:

l*h=40 cm^2

l*(l+3)=40 cm^2

l*(l+3)=5*8

so l=5, h=8

when l=5+10/100 *5=5+1/2=5.5 cm

h=8+10/100*8=8+8/10=8.8 cm

Area now is 5.5*8.8=48.4 cm^2

4 0

4 years ago