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2 years ago

Three consecutive odd integers add to −9. What are these integers?

1 answer:

8 0

Let the number be x.

1st number = x
2nd number = x + 2
3rd number = x + 4

x + x + 2 + x + 4 = -9
3x + 6 = -9
3x = -15
x = -5

1st number = x = -5
2nd number = x + 2 = -3
3rd number = x + 4 = -1

Answer: The numbers are -1, -3, and -5

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Witch Expression gives the closest estimate of 228-179

torisob [31]

Answer: 230 - 180

Step-by-step explanation:

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2 years ago

A zoo collected data on the diving times of turtles. Based on the data, the regression line is j = 0.010 + 2.515x, where x is th

mariarad [96]

Answer:

6.298 meters

Step-by-step explanation:

Here, we are told that x is the time of the dive in minutes.

We simply first need to convert 150 seconds to minutes before substitution into the regression formula;

Kindly recall that 60 seconds = 1 minute

So 150 seconds will be 150/60 = 2.5 minutes

We now proceed to substitute into;

j = 0.010 + 2.515(x)

i = 0.010 + 2.515(2.5)

j = 0.010 + 6.2875

j = 6.2975 which go 3 decimal places is 6.298 meters

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3 years ago

To decorate for a party, Simon needs 1,850 centimeters of colorful streamers. If the ratio of meters to centimeters is 1 : 100,

nordsb [41]

The simple answer is 18.5m

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2 years ago

Read 2 more answers

Surface Area of a Rectangle please help

valentinak56 [21]

Answer:

Step-by-step explanation:

(15x8x2)+(15x6x2)+(6x8x2)=516m

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3 years ago

Military radar and missile detection systems are designed to warn a coutry of an enemy attack. Assume that a particular detectio

Tom [10]

Answer:

0.96 = 96% probability that at least one of them detect an enemy attack.

Step-by-step explanation:

For each radar, there are only two possible outcomes. Either it detects the attack, or it does not. The missiles are operated independently, which means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Assume that a particular detection system has a 0.80 probability of detecting a missile attack.

This means that $p = 0.8$

If two military radars are installed in two different areas and they operate independently, the probability that at least one of them detect an enemy attack is

This is $P(X \geq 1)$ when $n = 2$ . So

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{2,0}.(0.8)^{0}.(0.2)^{2} = 0.04$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.04 = 0.96$

0.96 = 96% probability that at least one of them detect an enemy attack.

6 0

3 years ago