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3 years ago

What is the common ratio for the following geometric sequence: 4, -20, 100, -500, . . .

Mathematics

1 answer:

antiseptic1488 [7]3 years ago

4 0

Divide any term by the one before it, and you'll get the ratio. -20/4=-5

You might be interested in

What divided by 10² is 22.425

Ipatiy [6.2K]

Answer:

2,242.5

Step-by-step explanation:

10² = 100 (one and 2 zeros ; notice that the exponent is 2 )

Makes sense that we will need a bigger number than 22.425 to divide by 100 to get a 22.425 so move the decimal point to the left 2 spots and get 2,242.5.

2,242.5 /100 = 22.425

4 0

3 years ago

The useful life of a radial tire is normally distributed with a mean of 30,000 miles and a standard deviation of 5000 miles. The

otez555 [7]

Answer:

empirical rule: 81.5%

table or calculator: 81.9%

Step-by-step explanation:

The lower limit of the life range of interest has a z-score of ...

z = (x -μ)/σ = (20,000 -30,000)/5,000 = -2

The upper limit has a z-score of ...

z = (35,000 -30,000)/5,000 = 1

Empirical rule solution

The empirical rule tells you that 95% of the distribution lies within 2 standard deviations of the mean, so (100% -95%)/2 = 2.5% lie below z = -2. It also tells you 68% lie within 1 standard deviation of the mean, so (100% -68%)/2 = 16% lie above z = 1.

The fraction that lies within -2 to 1 standard deviations of the means is thus ...

(100% -2.5% -16%) = 81.5%

The probability the tire has a life in the desired range is about 81.5%.

Calculator solution

A probability calculator for the Normal distribution tells you that ...

P(-2 < z < 1) ≈ 0.8185946

The probability the tire has a life in the desired range is about 81.9%.

6 0

3 years ago

Denise bought a t-shirt at the sale price of $25.the original cost of the t-shirt was $40.what percent represents the discount t

weeeeeb [17]

15% because 40-25=15! :D

4 0

3 years ago

For what values of x is x^2 + 2x = 24 true?

maw [93]

Answer:

$x = -6, x = 4$

Step-by-step explanation:

Step 1: Factor

Subtract 24 from both sides

$x^2 + 2x- 24 = 24 - 24$

$x^2 + 2x - 24 = 0$

Make two different x's

$x^2 + 2x - 24 = 0$

$x^2 + 6x - 4x - 24 = 0$

Make two different parenthesis

$x^2 + 6x - 4x - 24 = 0$

$(x + 6)(x - 4) = 0$

Step 2: Solve for x in both equations

$x + 6 = 0$

$x + 6 - 6 = 0- 6$

$x = -6$

$x - 4 = 0$

$x - 4 + 4 = 0 + 4$

$x = 4$

Answer: $x = -6, x = 4$

6 0

3 years ago

Which statement is true? Question 5 options: All rectangles are squares. All quadrilaterals are rectangles. All squares are rect

lozanna [386]

Answer:

All squares are rectangles.

Step-by-step explanation:

The requirements for a shape to be qualified as a rectangle are that there must be four sides, two sets or parallel sides, and four right (90 degree) angles. The requirements for a square are that all sides must be equal in length and that there must be four right angles. Since the requirements of a square fit under those of a rectangle, all squares are rectangles.

6 0

4 years ago