All categories

3 years ago

Write an expression to represent the given statement. Use n for the variable.

Mathematics

1 answer:

inna [77]3 years ago

8 0

Answer:

3|n + 6|

Step-by-step explanation:

Let n represent the variable.

"The absolute value of the sum of a number and 6" is |n + 6|. Therefore:

"Three times that" is 3|n + 6|.

You might be interested in

The function f(t) = −5t 2 + 20t + 60 models the approximate height of an object

Natalija [7]

F(t) = -5t^2 + 20t + 60
-5(t^2 - 4t - 12)
-5(t + 2) (t - 6)
t = -2 or t = 6

6 seconds

5 0

3 years ago

Read 2 more answers

A box contains 24 transistors,4 of which are defective. If 4 are sold at random,find the following probabilities. i. Exactly 2 a

zavuch27 [327]

SOLUTION

This is a binomial probability. For i, we will apply the Binomial probability formula

i. Exactly 2 are defective

Using the formula, we have

$\begin{gathered} P_x=^nC_x\left(p^x\right?\left(q^{n-x}\right) \\ Where\text{ } \\ P_x=binomial\text{ probability} \\ x=number\text{ of times for a specific outcome with n trials =2} \\ p=\text{ probability of success = }\frac{4}{24}=\frac{1}{6} \\ q=probability\text{ of failure =1-}\frac{1}{6}=\frac{5}{6} \\ ^nC_x=\text{ number of combinations = }^4C_2 \\ n=\text{ number of trials = 4} \end{gathered}$

Note that I made the probability of being defective as the probability of success = p

and probability of none defective as probability of failure = q

Exactly 2 are defective becomes the binomial probability

$\begin{gathered} P_x=^4C_2\times\lparen\frac{1}{6})^2\times\lparen\frac{5}{6})^{4-2} \\ P_x=6\times\frac{1}{36}\times\frac{25}{36} \\ P_x=\frac{25}{216} \\ =0.1157 \end{gathered}$

Hence the answer is 0.1157

(ii) None is defective becomes

$\begin{gathered} \lparen\frac{5}{6})^4=\frac{625}{1296} \\ =0.4823 \end{gathered}$

hence the answer is 0.4823

(iii) All are defective

$\begin{gathered} \lparen\frac{1}{6})^4=\frac{1}{1296} \\ =0.00077 \end{gathered}$

(iv) At least one is defective

This is 1 - probability that none is defective

$\begin{gathered} 1-\lparen\frac{5}{6})^4 \\ =1-\frac{625}{1296} \\ =\frac{671}{1296} \\ =0.5177 \end{gathered}$

Hence the answer is 0.5177

3 0

1 year ago

If f(x) = 7x2 - 4x, what is the value of f(2)? F -8 J 17 G 2 K 20 H 6

kow [346]

Answer:

K 20

Step-by-step explanation:

f(x) = 7x2 - 4x

f (2) = 7 (2)^2 - 4(2)

= 28 - 8

= 20

Since they replaced the x inside f(x) with 2, just do that the same to the right side, change all x into 2

4 0

3 years ago

The following triangles are similar. True or False.

monitta

Answer:

It would be true

4 0

3 years ago

The area of right angled triangle with its legs are 6cm and 8cm is equal to

aalyn [17]

Answer:

A = 24 cm^2

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh

A = 1/2 (6)*8

A = 24 cm^2

4 0

3 years ago