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3 years ago

Solve for x your answer must be simplified. −7x>10

Mathematics

1 answer:

insens350 [35]3 years ago

3 0

$x< \frac{-10}{7}$

Solution:

Given inequality is –7x > 10.

To reduce this inequality to solve for x.

⇒ –7x > 10

Multiply by –1 on both sides of the inequality to reverse the expression.

⇒ –7x × (–1) < 10 × (–1)

⇒ 7x < –10

To simplify the expression, divide by 7 on both sides of the expression.

⇒ $\frac{7}{7}x< \frac{-10}{7}$

⇒ $x< \frac{-10}{7}$

Hence $x< \frac{-10}{7}$ .

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Find a . b if a=(2, -8) and b = (-1, 4). a. -30 b. (1, -4) c. -34 d. (-2, -32)

Luden [163]

Answer:

(2,-8)*(-1,4)

a*b

the answer is (-2,-32)

(2)*(-1)=(-2)

(-8)*(4)=(-32)

Step-by-step explanation:

hope this helps you :)

7 0

3 years ago

According to national data, 5.1% of burglaries are cleared with arrests. A new detective is assigned to six different burglaries

blagie [28]

Answer:

26.95% probability that at least one of them is cleared with an arrest

Step-by-step explanation:

For each burglary, there are only two possible outcomes. Either it is cleared, or it is not. The probability of a burglary being cleared is independent of other burglaries. So 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.

5.1% of burglaries are cleared with arrests.

This means that $p = 0.051$

A new detective is assigned to six different burglaries.

This means that $n = 6$

What is the probability that at least one of them is cleared with an arrest?

Either none are cleared, or at least one is. The sum of the probabilities of these events is 100% = 1. So

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

We want $P(X \geq 1)$

Then

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

In which

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

$P(X = 0) = C_{6,0}.(0.051)^{0}.(0.949)^{6} = 0.7305$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.7305 = 0.2695$

26.95% probability that at least one of them is cleared with an arrest

8 0

3 years ago

A. 12 b. 14 c. 8 d. 6

jolli1 [7]

Answer:

d. 6

Step-by-step explanation:

The product of lengths to the near and far intersection points is the same for both secants:

PB×PA = PD×PC

We can use this relation to solve for x, then use the value of x to find PD.

7×12 = (3x)(7x)

4 = x² . . . . . . . . . divide by 21

2 = x . . . . . . . . . . take the square root

PD = 3x = 3·2

PD = 6

5 0

3 years ago

a baseball helmet cost $42 coach Rodger said he would pay $274 for 7 helmets is the exact answer reasonable

Zepler [3.9K]

No cause if I helmet cost $42 , 7 helmets will be $294.
$42 = 1 helmet
$? = 7 helmets
cross multiply = 42 × 7 = $294

7 0

3 years ago

The length of a rectangle is 12 in and the perimeter is 56 what us the width of the rectangle

Aleks [24]

Hi there!

We can find the perimeter of a rectangle by using the following formula:

perimeter = 2 × width + 2 × length

In the question, we are given the following data: the length of the rectangle is 12 in and the perimeter is 56. Let's substitute this into our formula!

56 = 2 × width + 2 × 12
Multiply first.

56 = 2 × width + 24
Now subtract 24 from both sides.

32 = 2 × width
And finally, to find the width of the rectangle, divide both sides of the equation by 2.

16 = width
(we can eventually switch sides in the equation).

width = 16
~ Hope this helps you!

3 0

3 years ago