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3 years ago

For the following geometric sequence find the explicit formula. {12, -6, 3, ...}

Mathematics

1 answer:

Furkat [3]3 years ago

5 0

X divide by -2

this is your formula

x/ (-2)

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When the components arrive, the company selects a random sample from the shipment and subjects the selected components to a rigo

Ghella [55]

Answer:

(0.059, 0.133)

Step-by-step explanation:

Sample size = n = 250

Number of units which failed the test = x = 24

Proportion of units which failed the test = $\frac{x}{n} = \frac{24}{250} =\frac{12}{125}$ = 0.096

Proportion of units which did not fail the test = q = 1 - p = 1 - 0.096 = 0.904

Confidence level = 95%

z-value for the confidence level = z = 1.96

The true proportion of the components that fail to meet the specification would be:

$(p-z\sqrt{\frac{p \times q}{n}} , p+z\sqrt{\frac{p \times q}{n}})$

Using the values, we get:

$(0.096-1.96 \times \sqrt{\frac{0.096 \times 0.904}{250}} , 0.096+1.96 \times \sqrt{\frac{0.096 \times 0.904}{250}})\\\\ =(0.059,0.133)$

Thus, 95% confidence interval estimate for the true proportion of components, p, that fail to meet the specifications is (0.059, 0.133)

4 0

3 years ago

Cora says he dosen't need to know the y-interce of a line to write its equation,just its slope and some other point on the line.

Soloha48 [4]

Answer:

Yes, Cora is correct.

The equation of line with point (2,6) and slope of line (-1/3)

is x + 3y - 20 = 0

Step-by-step explanation:

Yes, the equation of a line can be written using a point and a slope of the line equation.

Cora has used the POINT SLOPE FORMULA, to represent the line equation.

In <u>Point Slope formula</u>:

The equation with slope m and points (x0,y0) can be written as:

(y-y0) =m (x-x0)

Here, the point (x0,y0) = (2,6)

and slope m = (-1/3)

So, the equation can be written as: $( y - 6) =\frac{-1}{3} (x-2) \\\implies 3( y-6) = (2-x)\\or, 3y - 18 -2 + x = 0\\or, x + 3y - 20 = 0$

Hence, the equation of line with point (2,6) and slope of line (-1/3)

is x + 3y - 20 = 0

4 0

3 years ago

Simplify or solve for x in (X+9)/2=3

Tems11 [23]

Answer: -3, write the division as a fraction, multiply both sides by 2, move constants to the right, then you're left with x=6-9 which is -3

6 0

4 years ago

if a person wants to tripple their salary in five year, when they already makes 19,000 their first year and 6500 more than the p

goldenfox [79]

Answer:

56,500

Step-by-step explanation:

5 0

3 years ago

Select all irrational numbers. 3/16√ 4/16√ 9/16√ 3/4√ 9/4√

ycow [4]

the answers are 3/16 √, 3/4√,

4 0

3 years ago

Read 2 more answers