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3 years ago

3 1/3 - 2 2/5 what is the answer?

1 answer:

7 0

One way to solve this is by changing the mixed numbers to improper functions.
3 1/3 = 10/3
2 2/5 = 12/5

The next step I would take is to find a common denominator.
10/3 = 50/15
12/5 = 36/15

Now we can solve the original equation:
50/15 - 36/15 = 14/15

Since 14/15 is already simplified this is your final answer.

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Find g(x), where g(x) is the translation 5 units right and 12 units up of f(x)=3x+5.

Rasek [7]

$f(x)=3x+5\\\downarrow/5\ units\ right/\\f(x-5)=3(x-5)+5\\\downarrow/12\ units\ up/\\f(x-5)+12=3(x-5)+5+12\\\\g(x)=3(x-5)+17=3x-15+17=3x+2\\\\Answer:\ \boxed{g(x)=3x+2}$

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4 years ago

V(v-1)-2(1-v) how to solve this

likoan [24]

Simply going to factorise this:

v(v - 1) -2(1 - v):
Note 1 - v = -(v-1)

v(v - 1) -2(1 - v)

v(v - 1) -2(-(v - 1))

v(v - 1) +2(v - 1)

(v + 2)(v - 1)

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3 years ago

ANSWER QUICKLY PLEASE

Oksi-84 [34.3K]

Answer:

0,4 meters

Step-by-step explanation:

1. 0,08 x 2 = 0,16 m² (area of the square)

2. √0,16 = 0,4 m (length of one side)

8 0

3 years ago

HELP IM FAILING IF HELP U WILL GET 8 POINTS <3 AND HELP ME

algol [13]

The area of the red part is greater than the area of the blue part.

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3 years ago

Read 2 more answers

Assume that the helium porosity (in percentage) of coal samples taken from any particular seam is normally distributed with true

Feliz [49]

Answer:

a) The 95% CI for the true average porosity is (4.51, 5.19).

b) The 98% CI for true average porosity is (4.11, 5.01)

c) A sample size of 15 is needed.

d) A sample size of 101 is needed.

Step-by-step explanation:

a. Compute a 95% CI for the true average porosity of a certain seam if the average porosity for 20 specimens from the seam was 4.85.

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.

$M = 1.96*\frac{0.78}{\sqrt{20}} = 0.34$

The lower end of the interval is the sample mean subtracted by M. So it is 4.85 - 0.34 = 4.51

The upper end of the interval is the sample mean added to M. So it is 4.35 + 0.34 = 5.19

The 95% CI for the true average porosity is (4.51, 5.19).

b. Compute a 98% CI for true average porosity of another seam based on 16 specimens with a sample average of 4.56.

Following the same logic as a.

98% C.I., so $z = 2.327$

$M = 2.327*\frac{0.78}{\sqrt{16}} = 0.45$

4.56 - 0.45 = 4.11

4.56 + 0.45 = 5.01

The 98% CI for true average porosity is (4.11, 5.01)

c. How large a sample size is necessary if the width of the 95% interval is to be 0.40?

A sample size of n is needed.

n is found when M = 0.4.

95% C.I., so Z = 1.96.

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

$0.4 = 1.96*\frac{0.78}{\sqrt{n}}$

$0.4\sqrt{n} = 1.96*0.78$

$\sqrt{n} = \frac{1.96*0.78}{0.4}$

$(\sqrt{n})^{2} = (\frac{1.96*0.78}{0.4})^{2}$

$n = 14.6$

Rounding up

A sample size of 15 is needed.

d. What sample size is necessary to estimate the true average porosity to within 0.2 with 99% confidence?

99% C.I., so z = 2.575

n when M = 0.2.

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

$0.2 = 2.575*\frac{0.78}{\sqrt{n}}$

$0.2\sqrt{n} = 2.575*0.78$

$\sqrt{n} = \frac{2.575*0.78}{0.2}$

$(\sqrt{n})^{2} = (\frac{2.575*0.78}{0.2})^{2}$

$n = 100.85$

Rounding up

A sample size of 101 is needed.

8 0

4 years ago