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3 years ago

Find a cubic function with the given zeros 7,-7,-4

Mathematics

1 answer:

ddd [48]3 years ago

7 0

f(x) = (x-7)(x+7)(x+4)

= (x^2 - 49)(x+4)

= x^3 + 4x^2 - 49x - 196

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A gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than

Neko [114]

Answer:

The probability that no more than 70% would prefer to start their own business is 0.1423.

Step-by-step explanation:

We are given that a Gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than work for someone else.

Let $\hat p$ = sample proportion of people who prefer to start their own business

The z-score probability distribution for the sample proportion is given by;

Z = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, p = population proportion who would prefer to start their own business = 72%

n = sample of 18-29 year-olds = 600

Now, the probability that no more than 70% would prefer to start their own business is given by = P( $\hat p$ $\leq$ 70%)

P( $\hat p$ $\leq$ 70%) = P( $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ $\leq$ $\frac{0.70-0.72}{\sqrt{\frac{0.70(1-0.70)}{600} } }$ ) = P(Z $\leq$ -1.07) = 1 - P(Z < 1.07)

= 1 - 0.8577 = 0.1423

The above probability is calculated by looking at the value of x = 1.07 in the z table which has an area of 0.8577.

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3 years ago

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ankoles [38]

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2 years ago

2.5 x 10^6 in standard form

aliina [53]

2.500.000 is the answer but I think simplifying it would make it 2.5?

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Max has 42 baseball cards. Jordan has b baseball cards. Max has 6 times as many baseball cards as Jordan Decide if each statemen

Svetllana [295]

Answer:

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Step-by-step explanation:

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2 years ago

find the value of n in each equation. write what n represents in the related division problem 643=4×160+n

schepotkina [342]

Answer: n = 3; n represents a remainder in a division problem.

Explanation:

1) Finding n:

i) Given: 643 = 4 × 160 + n

ii) Do the operations: 643 = 640 + n

iii) Subraction property of the equality: 643 - 640 = n

iv) Do the operations: 3 = n

Answer: n 3

2) Meaning of n

When you divide 643 by 4 the quotient is 160 and the remainder is 3, because 160 × 4 = 640, and 643 - 640 = 3.

This is, 3 is what is left when you split 643 into 4 getting 160 whole parts (plus the remainder, 3).

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2 years ago