Distance between the two points rounding to the nearest tenth (-9,3) and (-7-,4)

Please can someone help me solve 10x+5=15

telo118 [61]

Answer: The value of x is 1

Step-by-step explanation:

10x + 5 = 15

Collect the like terms which in this case are the whole numbers "5" and "15")

10x = 15 - 5

10x = 10

Divide both sides by 10

10x/10 = 10/10

x = 1

Thus, the value of x is 1

6 0

4 years ago

Read 2 more answers

How many different committees of 3 men and 4 women can be formed from 6 men and 8 women?

Mademuasel [1]

2 committees. 6 is divisible by 3 twice, 8 is divisible by 4 twice.

3 0

3 years ago

How do I make 3.0035 into a fraction?

olga55 [171]

Make 3.0035 into a proportion, or over 1000000, to make it a whole number. 30035/1000000.

6 0

4 years ago

Read 2 more answers

Candy. Someone hands you a box of a dozen chocolate-covered candies, telling you that half are vanilla creams and the other half

BaLLatris [955]

Answer:

a) P=0.091

b) If there are half of each taste, picking 3 vainilla in a row has a rather improbable chance (9%), but it is still possible that there are 6 of each taste.

c) The probability of picking 4 vainilla in a row, if there are half of each taste, is P=0.030.

This is a very improbable case, so if this happens we would have reasons to think that there are more than half vainilla candies in the box.

Step-by-step explanation:

We can model this problem with the variable x: number of picked vainilla in a row, following a hypergeometric distribution:

$P(x=k)=\dfrac{\binom{K}{k}\cdot \binom{N-K}{n-k}}{\binom{N}{n}}$

being:

N is the population size (12 candies),

K is the number of success states in the population (6 vainilla candies),

n is the number of draws (3 in point a, 4 in point c),

k is the number of observed successes (3 in point a, 4 in point c),

a) We can calculate this as:

$P(x=3)=\dfrac{\binom{6}{3}\cdot \binom{12-6}{3-3}}{\binom{12}{3}}=\dfrac{\binom{6}{3}\cdot \binom{6}{0}}{\binom{12}{3}}=\dfrac{20\cdot 1}{220}=0.091$

b) If there are half of each taste, picking 3 vainilla in a row has a rather improbable chance (9%), but is possible.

c) In the case k=4, we have:

$P(x=3)=\dfrac{\binom{6}{4}\cdot \binom{6}{0}}{\binom{12}{4}}=\dfrac{15\cdot 1}{495}=0.030$

This is a very improbable case, so we would have reasons to think that there are more than half vainilla candies in the box.

4 0

4 years ago

What is the length of segment A.B.

madreJ [45]

Answer:

The distance between A and B is <em>l(AB) = </em>13 units

Step-by-step explanation:

Given:

let,

A ≡ ( x1, y1 ) ≡ ( 0, 12 )

B ≡ ( x2, y2 ) ≡ ( 5, 0 )

To Find:

Length AB = ?

Solution:

Distance Formula for the distance between the two points ( x1, y1 ) and ( x2, y2 ) we have,

$l(AB) = \sqrt{((x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} )}$

On substituting the above values we will get,

$l(AB) = \sqrt{((5-0)^{2}+(0-12)^{2} )}\\l(AB)=\sqrt{(5^{2} +(-12)^{2} } \\l(AB)=\sqrt{(25+144)}\\ l(AB)=\sqrt{169} \\l(AB)=13\ unit$

Therefore the distance between A and B is <em>l(AB) = </em>13 units

5 0

4 years ago