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2 years ago

What integer values satisfy both inequalities? − 3 < x < 2 x > − 1

Mathematics

1 answer:

anzhelika [568]2 years ago

5 0

Answer:

its 1!

Step-by-step explanation:

1 is greater than -3, and 2*1 (2) is greater than -1 :)

You might be interested in

The slope of the line y = 4x − 2 is:

Paladinen [302]

Answer: m = 4

Step-by-step explanation: This is a linear equation.

Linear equations can be written in the form y = mx + b where

the multiplier, m, represents the slope of the line and the <em>b</em>

or the constant term represents the y-intercept of the line.

So the slope of this line is simply the multiplier

which is the coefficient of the x term which is 4.

The variable that's used to represent slope is <em>m</em>.

So we say that m = 4.

6 0

3 years ago

An FBI survey shows that about 30% (i.e., 0.3) of all property crimes go solved. Suppose that in New York City 15 such crimes ar

konstantin123 [22]

Complete question :

An FBI survey shows that about 30% (i.e., 0.3) of all property crimes go solved. Suppose that in New York City 15 such crimes are committed and they are each deemed independent of each other.

a. What is the probability that exactly 3 of these 15 crimes will be solved? b. What is the probability that at most 3 of these 15 crimes will be solved? c. What is the probability that more than 11 of these 15 crimes will be solved?

Answer:

0.17

0.29686

0.000092

Step-by-step explanation:

Given that :

Probability of success (p) = 0.3

Number of cases (n) = 15

1 - p = 1 - 0.3 = 0.7

Usung binomial distribution formula :

a. What is the probability that exactly 3 of these 15 crimes will be solved?

P(x = 3)

Recall:

P(x = x) = nCx * p^x * (1 - p)^(n-x)

P(x = 3) = 15C3 * 0.3^3 * 0.7^12

P(x = 3) = 455 *

P(x = 3) = 0.17

B.) What is the probability that at most 3 of these 15 crimes will be solved?

P( X ≤ 3) = P(x = 0) + p(x = 1) + p(x = 2) + p(x = 3)

To save computation time, we can using the binomial probability calculator :

P( X ≤ 3) : 0.00474 + 0.03052 + 0.09156 + 0.17004 = 0.29686

c. What is the probability that more than 11 of these 15 crimes will be solved?

P( X > 11) = P(x = 12) + p(x = 13) + p(x = 14) + p(x = 15)

P( X > 11) = 0.000092

7 0

3 years ago

What is the value of x in the equation below? –3 – (–8) – (–2) = x

ololo11 [35]

I think the awnser would be +7

6 0

3 years ago

Read 2 more answers

The Earth is one astronomical unit from the sun i.e.1AU= 93 million miles.The angular speed of the Earth traveling around the su

Wewaii [24]

Answer: 0.0667117 * $10^{6}$ miles

Step-by-step explanation: The Earth is one astronomical unit from the sun i.e.1AU= 93 million miles.The angular speed of the Earth traveling around the sun is approximately 0.9863 degrees per day. If we assume the orbit of the Earth is completely circular, what is the linear speed in miles per hour?

Step-by-step explanation: First, a day has 24 hours. Knowing how far the earth travels in day we can say:

0,9863 degrees/day = 0,9863 degrees/(24 hours)

0,9863 degrees/day = 0.0411 degrees/hours

Also, we know the orbit completely circular, so the total distance on, degrees, is 360°. Also this distance can be know with the formula:

Total Circuference = 360° = 2*pi* R

Because Radius is variable for any circle. It is say that:

360° = 2*pi radians

WIth this relation, we can know how many radians are 0.0411 degrees

360/0.0411 = (2*pi)/x

x = (2*pi*0.0411)/(360)

X = 0.00071733032

X is how much the Earth travels per hour in Radians.

Multiplying per Radius:

Earth distance traveled per hour = 0.0667117 * $10^{6}$ miles

8 0

3 years ago

In the triangle below,<br> y = [ ? ] cm. Round to the<br> nearest tenth.

sattari [20]

Answer:

The answer is

Step-by-step explanation:

Since the triangle is a right angled triangle we can use trigonometric ratios to find y

To find y we use cosine

cos∅ = adjacent / hypotenuse

From the question

y is the adjacent

The hypotenuse is 15

So we have

$\cos(35) = \frac{y}{15} \\ y = 15 \cos( 35 ) \\ y = 12.28728$

We have the final answer as

<h3>12.3 cm to the nearest tenth</h3>

Hope this helps you

7 0

3 years ago