All categories

3 years ago

For the equation 2n - 3 = 7

Mathematics

2 answers:

Irina18 [472]3 years ago

6 0

2n-3=7
+3.+3
2n=10
2. 2
n=5
2(5)-3=7

Stells [14]3 years ago

5 0

Answer:

The variable is n

The coefficient is 2

And the solution to n is 10.

Step-by-step explanation:

The number in the equation is the variable. The coefficient is the number before the variable. And a number next to a letter means you multiply. So 2*5=10 10-3=7

You might be interested in

What are the two binomial factors for x2 – 25?

Viktor [21]

Answer:

$x^2 -25 = (x-5)(x+5)$

Any expression of the form $a^2 - b^2 = (a-b)(a+b)$

3 0

3 years ago

The dingram shows a spinner innde up of a picce of card in the shape of a regular pentagon, with a toothpick pushed through its

Anastaziya [24]

Answer:

a) $P(X \leq 3) = 0.99328$

b) 0.6957

Step-by-step explanation:

Let X represent the number of 4's when n = 5 independent spins

each has a probability of 0.2 (i.e p = 0.2)

This notation is represented as:

X $\approx$ Binomial (n = 5, p = 0.2)

Probability of $x$ number of 4's is:

$P(X=x)= (\left \ n \atop x \right) p^x (1-p)^{(n-x)}$

here; $(\left \ n \atop x \right)$ is the combinatorial expression

$(\left \ n \atop x \right)$ = $\frac{n!}{x!(n-x)!}$

$P(X \leq3), n =5 , p = 0.2$

$P(X \leq3) = 1-P(X > 3)$

So; let's first find:

$P(X > 3)$

$= P(3$

$P(X = 4) =( \left \ {{5} \atop {4}} \right. ) (0.2)^4 (1-0.2)^1 \\ \\ P(X = 4) = 5(0.2)^4(0.8)^1 \\ \\ P(X = 4) = 0.0064$

$P(X = 5) =( \left \ {{5} \atop {5}} \right. ) (0.2)^5 (1-0.2)^0 \\ \\ P(X = 5) = 5(0.2)^5(0.8)^0 \\ \\ P(X = 5) = 0.00032$

$P (X=4)+P(X = 5 ) \\ \\ = 0.0064 + 0.00032 = 0.006720 \\ \\ \approx 0.007$

$P(X > 3 ) = 0.00672 \\ \\ P(X \leq 3) = 1- P(X > = 3 ) \\ \\ =1 - 0.00672 \\ \\ = 0.99328$

$P(X \leq 3) = 0.99328$

Given that:

The ratio of boys to girls at birth in Singapore is quite high at 1.09:1

What proportion of Singapore families with exactly 6 children will have at least 3 boys?

Probability of having a boy = $\frac{1.09}{1+1.09}$ = 0.5215

Binomial Problem with n = 6

P(3<= x <=6) = 1 - P(0<= x <=2)

= 1 - binomial (6,0.5215,2)

= 0.6957

5 0

3 years ago

Kathy was building a bed for her dollhouse. She used her bed, which is 3 feet × 5 feet, as a guide. She scaled down the dimensio

Anna11 [10]

We know, final dimension = initial dimension * dilation factor
= 3 * 1/5 = 0.6
& 6 * 1/5 = 1

In short, Your Answer would be Option D) <span>0.6 ft × 01 ft

Hope this helps!</span>

4 0

3 years ago

Read 2 more answers

Cameron's book log shows that he read a total of 4 1/4 hours last month. How many minutes is that?

Otrada [13]

4 1/4 hours.
60 minutes in each hour.
15 minutes in 1/4 an hour.
So (60*4)+15
240+15
255 minutes.
Cameron read 255 minutes last month.

4 0

3 years ago

Read 2 more answers

Find: 11/3 ÷ 2/3<br> The quotient is 5 and ?

saveliy_v [14]

Answer: